Write a two column proof for the following statement. Given that the Bible is true, prove that you personally need the Gospel to be in relationship with God. Fo this proof, you will need to establish(using scripture) the following flow of logic: 1 the state of mankind without the Gospel. 2 the state of mankind's relationship with God as a result of #1. 3 the affect of the Gospel message has on mankind. 4 the affect on mankind's relationship with God as a result of #3. ​

Answers

Answer 1

It is important that our understanding and spreading of the gospel comes from the biblical text itself, and it is equal important that we continue to preach and defend the one true gospel. Jesus died and rose again for the forgiveness of our sins.

The word gospel occurs ninety-nine times in the NASB and ninety-two times in the NET Bible. In the Greek New Testament, the gospel is a translation of the Greek noun "good news" occurring 76 times and of the verb "to bring or announce good news" 54 times. Both words are derived from the noun angelos, "messenger". In classical Greek, euangelos is one who brings news of victory or other joyful political or personal news.

The gospel of the grace of God emphasizes that all aspects of salvation are based on grace, not on a merit system.The gospel of the Kingdom is the good news that God will establish His kingdom on earth through the two comings of the Lord Jesus Christ.The gospel of peace describes how this good news of salvation in Christ brings peace in all areas (peace with God, peace with God, peace with others, and peace in the world) through the Savior's victory.

Learn more about Equally:

https://brainly.com/question/29194324

#SPJ4


Related Questions

linear equations in one variable

Answers

Answer:

x = [tex]\frac{3}{5}[/tex]

Step-by-step explanation:

[tex]\frac{x+1}{3}[/tex] - [tex]\frac{x-1}{2}[/tex] = [tex]\frac{1+2x}{3}[/tex]

multiply through by 6 ( the LCM of 2 and 3 ) to clear the fractions

2(x + 1) - 3(x - 1) = 2(1 + 2x) ← distribute parenthesis on both sides

2x + 2 - 3x + 3 = 2 + 4x

- x + 5 = 2 + 4x ( subtract 4x from both sides )

- 5x + 5 = 2 ( subtract 5 from both sides )

- 5x = - 3 ( divide both sides by - 5 )

x = [tex]\frac{-3}{-5}[/tex] = [tex]\frac{3}{5}[/tex]

Let V and W be vector spaces, and let T: V W be a linear transformation. Given a subspace U of V, let T(U) denote the set of all images of the form T(x), where x is in U. Show that T(U) is a subspace of W. To show that T(U) is a subspace of W, first show that the zero vector of wis n TU. Choose the correct answer below. a. Since V s a subspace of U the zero vector of u ou is in V. Since T s inear T Ou .w, where is the zero vector of w.?oms T(U) b. Since U is a subspace of W, the zero vector of w, ow, is in U. Since T is linear, T(0w) = 0v, where 0v is the zero vector of V So 0w is in T(U). c. Since V is a subspace of U, the zero vector of V, 0v is in U. Since T is linear, T(0v-0w where o,. is the zero vector of W Som s in T(U). d. Since U is a subspace of V, the zero vector of V, 0y, is in U.Since T is linear, Toy)-ow where Ow is the zero vector of W. So Ow is in T(U)

Answers

The T(U) is a subspace of W.

Since U is a subspace of V, the zero vector of V, 0v, is in U. Since T is linear, T(0v) = 0w, where 0w is the zero vector of W. So 0w is in T(U). Therefore, T(U) is a subspace of W.

Learn more about Subspace

brainly.com/question/14983844

#SPJ11

Does someone mind helping me with this problem? Thank you!

Answers

the answer to the problem that you need to is 1024

d)
1456 divided by 25

Answers

Answer:

58.24

Step-by-step explanation:

1456 ÷ 25 = 58.24

1. how long is the hall which has a perimeter if 3480 cm and 300cm wide?
2. joe walks across the rotonda and travels 400meters, how many more meters will a car travel around it than the distance the pedestrian walk?
3.father will fence the rectangular yard with a length of 120m and a width of 100m,
how many meters of wire will her use for the fence?

Answers

Answer:

(3480 - 600)/2 = 1440cm

Step-by-step explanation:

three fair, standard six-faced dice of different colors are rolled. in how many ways can the dice be rolled such that the sum of the numbers rolled is 10? (mathematics teacher calendar problem)

Answers

There are a total of 27 combinations that give a sum of 10 when rolling three dice.

We have,

The possible outcomes in the sample space for rolling three dice:

S = {(1, 1, 1), (1, 1, 2), (1, 1, 3), (1, 1, 4), (1, 1, 5), (1, 1, 6),

(1, 2, 1), (1, 2, 2), (1, 2, 3), (1, 2, 4), (1, 2, 5), (1, 2, 6),

(1, 3, 1), (1, 3, 2), (1, 3, 3), (1, 3, 4), (1, 3, 5), (1, 3, 6),

(1, 4, 1), (1, 4, 2), (1, 4, 3), (1, 4, 4), (1, 4, 5), (1, 4, 6),

(1, 5, 1), (1, 5, 2), (1, 5, 3), (1, 5, 4), (1, 5, 5), (1, 5, 6),

(1, 6, 1), (1, 6, 2), (1, 6, 3), (1, 6, 4), (1, 6, 5), (1, 6, 6),

(2, 1, 1), (2, 1, 2), (2, 1, 3), (2, 1, 4), (2, 1, 5), (2, 1, 6),

(2, 2, 1), (2, 2, 2), (2, 2, 3), (2, 2, 4), (2, 2, 5), (2, 2, 6),

(2, 3, 1), (2, 3, 2), (2, 3, 3), (2, 3, 4), (2, 3, 5), (2, 3, 6),

(2, 4, 1), (2, 4, 2), (2, 4, 3), (2, 4, 4), (2, 4, 5), (2, 4, 6),

(2, 5, 1), (2, 5, 2), (2, 5, 3), (2, 5, 4), (2, 5, 5), (2, 5, 6),

(2, 6, 1), (2, 6, 2), (2, 6, 3), (2, 6, 4), (2, 6, 5), (2, 6, 6),

(3, 1, 1), (3, 1, 2), (3, 1, 3), (3, 1, 4), (3, 1, 5), (3, 1, 6),

(3, 2, 1), (3, 2, 2), (3, 2, 3), (3, 2, 4), (3, 2, 5), (3, 2, 6),

(3, 3, 1), (3, 3, 2), (3, 3, 3), (3, 3, 4), (3, 3, 5), (3, 3, 6),

(3, 4, 1), (3, 4, 2), (3, 4, 3), (3, 4, 4), (3, 4, 5), (3, 4, 6),

(3, 5, 1), (3, 5, 2), (3, 5, 3), (3, 5, 4), (3, 5, 5), (3, 5, 6),

(3, 6, 1), (3, 6, 2), (3, 6, 3), (3, 6, 4), (3, 6, 5), (3, 6, 6),

(4, 1, 1), (4, 1, 2), (4, 1, 3), (4, 1, 4), (4, 1, 5), (4, 1, 6),

(4, 2, 1), (4, 2, 2), (4, 2, 3), (4, 2, 4), (4, 2, 5), (4, 2, 6),

(4, 3, 1), (4, 3, 2), (4, 3, 3), (4, 3, 4), (4, 3, 5), (4, 3, 6),

(4, 4, 1), (4, 4, 2), (4, 4, 3), (4, 4, 4), (4, 4, 5), (4, 4, 6),

(4, 5, 1), (4, 5, 2), (4, 5, 3), (4, 5, 4), (4, 5, 5), (4, 5, 6),

(4, 6, 1), (4, 6, 2), (4, 6, 3), (4, 6, 4), (4, 6, 5), (4, 6, 6),

(5, 1, 1), (5, 1, 2), (5, 1, 3), (5, 1, 4), (5, 1, 5), (5, 1, 6),

(5, 2, 1), (5, 2, 2), (5, 2, 3), (5, 2, 4), (5, 2, 5), (5, 2, 6),

(5, 3, 1), (5, 3, 2), (5, 3, 3), (5, 3, 4), (5, 3, 5), (5, 3, 6),

(5, 4, 1), (5, 4, 2), (5, 4, 3), (5, 4, 4), (5, 4, 5), (5, 4, 6),

(5, 5, 1), (5, 5, 2), (5, 5, 3), (5, 5, 4), (5, 5, 5), (5, 5, 6),

(5, 6, 1), (5, 6, 2), (5, 6, 3), (5, 6, 4), (5, 6, 5), (5, 6, 6),

(6, 1, 1), (6, 1, 2), (6, 1, 3), (6, 1, 4), (6, 1, 5), (6, 1, 6),

(6, 2, 1), (6, 2, 2), (6, 2, 3), (6, 2, 4), (6, 2, 5), (6, 2, 6),

(6, 3, 1), (6, 3, 2), (6, 3, 3), (6, 3, 4), (6, 3, 5), (6, 3, 6),

(6, 4, 1), (6, 4, 2), (6, 4, 3), (6, 4, 4), (6, 4, 5), (6, 4, 6),

(6, 5, 1), (6, 5, 2), (6, 5, 3), (6, 5, 4), (6, 5, 5), (6, 5, 6),

(6, 6, 1), (6, 6, 2), (6, 6, 3), (6, 6, 4), (6, 6, 5), (6, 6, 6)}

Now,

The combination where the sum is 10 is 27.

ie.

{(1, 3, 6), (1, 4, 5), (1, 5, 4), (1, 6, 3), ........, (6, 1, 3), (6, 2, 2,), (6, 3, 1)}

Thus,

There are 27 ways of combination where the sum is 10.

Learn more about sample space here:

https://brainly.com/question/24273864

#SPJ12

You ride your bicycle 40 meters. How many complete revolutions does the front wheel make?

Answers

The distance that the front wheel travels in one revolution is equal to the circumference of the wheel. Let's assume that the diameter of the wheel is 0.7 meters, which is a typical diameter for a bicycle wheel.

The circumference of the wheel can be calculated as follows:

Circumference = π x Diameter
Circumference = 3.14 x 0.7 meters
Circumference = 2.198 meters

Therefore, the front wheel makes 18.2 complete revolutions (rounded to one decimal place) to travel a distance of 40 meters.

This can be calculated as follows:

Number of revolutions = Distance traveled / Circumference of wheel
Number of revolutions = 40 meters / 2.198 meters
Number of revolutions = 18.2 revolutions (rounded to one decimal place)

So, the front wheel makes 18.2 complete revolutions to travel a distance of 40 meters.

Amir and Brandon are sharing a cake they bought for 10 dollars. Half of
the cake is chocolate and half of the cake is vanilla. Amir likes chocolate
twice as much as vanilla. Brandon likes chocolate four times as much as
vanilla. They decide to use the divider-chooser method to share the cake. (a) Give a way Amir might split the cake if he’s the splitter. State which
piece Brandon would choose and how much it’s worth to him. (b) Give a way Brandon might split the cake if he’s the splitter. State
which piece Amir would choose and how much it’s worth to him

Answers

(a) If Amir is the splitter, he can divide the cake into two equal halves, offer Brandon the first choice, who will likely choose the chocolate half worth 6.67 dollars to him, and Amir will take the vanilla half worth 3.33 dollars to him.

(b) If Brandon is the splitter, he can divide the cake into two equal halves, offer Amir the first choice, who will likely choose the chocolate half worth 5 dollars to him, and Brandon will take the vanilla half worth 5 dollars to him.

(a) If Amir is the splitter, he can divide the cake into two equal halves, one chocolate and one vanilla. He can then offer Brandon the first choice of which half he wants. Since Brandon likes chocolate four times as much as vanilla, he will likely choose the chocolate half, which is worth 6.67 dollars to him (4/5 of the total value of the cake). Amir will then take the vanilla half, which is worth 3.33 dollars to him (1/5 of the total value of the cake).

(b) If Brandon is the splitter, he can divide the cake into two equal halves, one chocolate and one vanilla. He can then offer Amir the first choice of which half he wants. Since Amir likes chocolate twice as much as vanilla, he will likely choose the chocolate half, which is worth 5 dollars to him (1/2 of the total value of the cake). Brandon will then take the vanilla half, which is worth 5 dollars to him (1/2 of the total value of the cake)

Learn more about divide here

brainly.com/question/28866502

#SPJ4

A bag contains 8 green cubes, 12 black cubes and 16 white cubes. What is the ratio of green to black to white cubes in its simplest form?​

Answers

Answer:

Total number bags is 36

green cubes is 8white cubes is 16Black cubes is 12

1:2:3 the answer

This is the answer, hope it helps

The function h(t) = –16t(t – 2) + 24 models the height h, in feet, of a ball t seconds after it is thrown straight up into the air. What is the initial velocity and the initial height of the ball?

Answers

Answer

Initial velocity = 32 ft/s

Initial height = 24 ft.

Explanation

The function gives us the function that models the height, h, in feet for the ball as a function of time, t, in seconds.

h(t) = -16t (t - 2) + 24

We are then asked to find the initial velocity and the initial height of the ball.

This means we find the velocity and the height of the ball at t = 0

Velocity is given as the first derivative of the height function

v = (dh/dt)

h(t) = -16t (t - 2) + 24

h(t) = -16t² + 32t + 24

v = (dh/dt) = -32t + 32

When t = 0

v = -32t + 32 = -32 (0) + 32 = 0 + 32 = 32 ft/s

Initial velocity = 32 ft/s

For the initial height, t = 0

h(t) = -16t (t - 2) + 24

h(t) = -16t² + 32t + 24

h(0) = -16(0²) + 32(0) + 24

h(0) = 0 + 0 + 24

h(0) = 24 ft

Initial height = 24 ft.

Answer:

The initial velocity of the ball is 32 feet per second.

The initial height of the ball is 24 feet.

Step-by-step explanation:

Velocity is the rate of change of distance with respect to time.

Therefore, to find the equation for velocity, differentiate the height function with respect to time.

[tex]\begin{aligned} h(t) &= -16t(t - 2) + 24\\&= -16t^2+32t+24\\\\\implies v=h'(t)&=-32t+32\end{aligned}[/tex]

The initial velocity of the ball is its velocity when t = 0.

Therefore, at time t = 0, the velocity is:

[tex]\begin{aligned}\implies v=h'(0)&=-32(0)+32\\&=32\sf\;ft\;s^{-1}\end{aligned}[/tex]

Therefore, the initial velocity of the ball is 32 feet per second.

The initial height of the ball is the height when t = 0.

Therefore, at time t = 0, the height of the ball is:

[tex]\begin{aligned} \implies h(0) &= -16(0)(0 - 2) + 24\\&= 0+24\\&=24\sf\;ft\end{aligned}[/tex]

Therefore, the initial height of the ball is 24 feet.

f(x)=3x^2+12+11 in vertex form

Answers

Answer:

y = -3(x - 2)^2 + 1. Explanation: x-coordinate of vertex: x = -b/(2a) = -12/-6 = 2 y-coordintae of vertex: y(2) = -12 + 24 - 11 = 1

Step-by-step explanation:

Answer:x-coordinate of vertex:

x = -b/(2a) = -12/-6 = 2

y-coordinate of vertex:

y(2) = -12 + 24 - 11 = 1

Vertex form:

y = -3(x - 2)^2 + 1

Check.

Develop y to get back to standard form:

y = -3(x^2 - 4x + 4) + 1 = -3x^2 + 12x - 11.

Step-by-step explanation:

Rina is climbing a mountain. She has not


yet reached base camp. Write an inequality


to show the remaining distance, d, in feet


she must climb to reach the peak.

Answers

The inequality that shows the remaining distance Rina must climb to reach the peak is 0 < d < P

Let's assume that the distance from Rina's current position to the peak of the mountain is "P" feet and the distance from her current position to the base camp is "B" feet.

Then, the remaining distance, "d", that she must climb to reach the peak can be calculated as follows

d = P - B

Since Rina has not yet reached the base camp, the distance she has traveled so far is less than the distance to the base camp, which means:

B > 0

Substituting this inequality in the equation for "d", we get

d = P - B < P

Therefore, the inequality that shows the remaining distance Rina must climb to reach the peak is:

0 < d < P

Learn more about inequality here

brainly.com/question/30228778

#SPJ4

a rectangular prism has a height of 1/5 m and a square base with an area of 7 1/2 m^2. What is the volume of the rectangular prism?

Answers

The volume of the rectangular prism is approximately 0.2996 cubic meters.

What is rectangular prism and its volume?

Six rectangular faces that are congruent and parallel to one another make up the three-dimensional solid known as a rectangular prism. A rectangular cuboid is another name for it.

By multiplying the prism's length, width, and height, one may get the volume of a rectangular prism, which is the volume of the interior space of the prism.

Given that, area of the square base is 7 1/2 sq. m.

The side of the square base is thus,

√(7 1/2) ≈ 2.7386 m

The volume of the rectangular prism is given as:

Volume = length x width x height

Volume ≈ 2.7386 x 2.7386 x 1/5 m

Volume ≈ 0.2996 cubic meters.

Hence, the volume of the rectangular prism is approximately 0.2996 cubic meters.

Learn more about volume of prism here:

https://brainly.com/question/22023329

#SPJ1

Choose the correct answer.
When you get the sum of a data set and divide by the number of values collected, you get the
A)quantitative data
B)qualitative data
C)median
D)mean

Answers

A) it has sum big dog big bear
D)mean When you get the sum of a data set and divide by the number of values collected, you get the mean


1. Use algebraic methods to find where Yaseen's demand and supply functions intersect. What
does this point(s) represent in context of this problem? Show all your work.

2. Confirm your answer from question 7 by using Desmos to create a single graph that shows
both f(x) and g(x) with their domain restrictions. Provide a screenshot of your graph with the
intersection point(s) marked.

Answers

Therefore represented by the point of intersection, which is (10, 7). All products are sold at this price and quantity, clearing the market.

what is function ?

A function is a mathematical concept that links an input (usually denoted by the variable x) to an output (usually denoted by the variable y or f(x)) in a well-defined way. A function can be compared to a computer that processes inputs and outputs in accordance with rules or guidelines. Each input value (also known as the domain) in a function is connected to precisely one output value (also known as the range). For instance, the linear function f(x) = 2x multiplies the input value x by two to create the output value.

given

f(x) = -0.5x + 12

The supply role is also provided by:

g(x) = 0.5x + 2

We must put these two functions equal to one another and then solve for x to determine where these two functions intersect:

-0.5x + 12 = 0.5x + 2

By multiplying both parts by 0.5, we get:

12 = x + 2

x = 10

The position at which the supply and demand functions intersect is therefore (10, f(10)) or (10, g(10)). We can enter the value x = 10 into either of the following functions to obtain the appropriate y-coordinate:

f(10) = -0.5(10) + 12 = 7

g(10) = 0.5(10) + 2 = 7

To know more about function visit:

https://brainly.com/question/28193995

#SPJ1

What is the value of the expression?

1/2 ÷ 6

Answers

Answer:

0.25

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

To solve this expression, we need to remember that division should be done before multiplication or addition/subtraction.

So we first simplify the expression by dividing 1/2 by 6:

1/2 ÷ 6 = 1/2 × 1/6

Next, we multiply the two fractions by multiplying their numerators and denominators:

1/2 × 1/6 = (1 × 1)/(2 × 6) = 1/12

Therefore, the value of the expression 1/2 ÷ 6 is equal to 1/12.

Look at this series: 7, 10, 8, 11, 9, 12,. What number should come next?

Answers

If we look at the numbers we can see a pattern

7,10 is plus 3
10,8 is minus 2
8,11 is plus 3
11,9 is minus 2
9,12 plus 3
We Can asume that it will be a minus 2 next making the next number
10

Find the surface area of the solid

Answers

The solid has a surface area of about 401.92 cm2.

How can you figure out surface area?

A three-dimensional shape's surface area is the sum of all of its faces. The surface area of a shape can be calculated by finding the area of each face and combining them.

The surface areas of the cylinder and the hemisphere must be added to determine the solid's surface area.

The cylinder's surface area is equal to 2rh + 2r2, where r is the cylinder's radius and h is its height.

The hemisphere's surface area is equal to 2r2, where r is the hemisphere's radius.

As the cylinder's and hemisphere's radiuses are equal, we can sum their two surface areas as follows:

The solid's surface area is equal to 2rh plus 2r2 plus 2r2.

= 2πrh + 4πr²

Solid's surface area is equal to 2(4)(8) + 4(4)(2).

= 64π + 64π

= 128π

≈ 401.92 cm²

To know more about surface area visit:-
https://brainly.com/question/29298005

#SPJ1

Find the range of possible measures of X if the set of expressions represents measures of the sides of a triangle x, 4, 6

Answers

If the set of expressions represents measures of the sides of a triangle x, 4, 6 , the range of possible measures of x is 2 < x < 10.

To determine the range of possible measures of X if the set of expressions represents measures of the sides of a triangle x, 4, 6, we need to use the triangle inequality theorem. According to this theorem, in a triangle, the sum of the lengths of any two sides must be greater than the length of the third side.

Mathematically, this can be expressed as:

x + 4 > 6

x + 6 > 4

4 + 6 > x

Simplifying these inequalities, we get:

x > 2

x > -2

x < 10

The first two inequalities indicate that x must be greater than 2, since the sum of any two sides of a triangle must be greater than the third side. The third inequality indicates that x must be less than 10, since the longest side of a triangle cannot be greater than the sum of the other two sides.

This means that x can take any value between 2 and 10, but not including 2 or 10, in order for the set of expressions to represent the measures of the sides of a triangle.

To learn more about range click on,

https://brainly.com/question/26170058

#SPJ4

Need help with b, please show work

Answers

Step-by-step explanation:

remember, the sum of all angles in a triangle is always 180°.

the law of sine :

a/sin(A) = b/sin(B) = c/sin(C)

with a, b, c being the sides, and A, B, C being the three corresponding opposite angles.

so, the angle at Q is

180 = 48 + 48 + angle Q = 96 + angle Q

84° = angle Q

5mm/sin(48) = PR/sin(84)

PR = 5×sin(84)/sin(48) = 6.691306064... mm

The length of PR is approximately 10.33 mm.

what is isosceles triangle ?

An isosceles triangle is a triangle with at least two sides that have equal length, and thus two corresponding angles that are also equal in measure. The third side and angle of an isosceles triangle may or may not be of different length or measure. The two sides that are equal in length are called the legs, and the third side is called the base. The angle opposite the base is called the vertex angle, while the angles adjacent to the legs are called the base angles. In an isosceles triangle, the two base angles are equal in measure.

Since the sum of the angles in a triangle is 180 degrees, we can find the measure of angle PQR as follows:

PQR = 180 - QPR - QRP

PQR = 180 - 48 - 48

PQR = 84 degrees

Since angles QRP and QPR have the same measure, we know that sides OP and OR have equal length (they are opposite those angles). Therefore, triangle POR is an isosceles triangle.

To find the length of PR, we can use the Law of Cosines:

PR^2 = OP^2 + OR^2 - 2(OP)(OR)cos(POR)

Since OP and OR are equal in length, we can simplify this equation to:

PR^2 = 2(OP^2) - 2(OP^2)cos(POR)

We know that POR is 180 - PQR = 96 degrees. We also know that OP = OR, and that QP = 5 mm. Using the Law of Cosines, we can find the length of OP:

OP^2 = QP^2 + OR^2 - 2(QP)(OR)cos(QPR)

OP^2 = 5^2 + OR^2 - 2(5)(OR)cos(48)

OP^2 = OR^2 - 5ORcos(48) + 25

Since OP = OR, we can substitute OP for OR in the above equation:

OP^2 = OP^2 - 5OPcos(48) + 25

5OPcos(48) = 25

OP = 25/(5cos(48))

OP ≈ 6.25 mm

Now we can substitute this value into the equation we derived earlier to find PR:

PR^2 = 2(OP^2) - 2(OP^2)cos(POR)

PR^2 = 2(6.25^2) - 2(6.25^2)cos(96)

PR ≈ 10.33 mm

Therefore, the length of PR is approximately 10.33 mm.  

To know more about triangles visit :-

https://brainly.com/question/17335144

#SPJ1

60°
d. Opposite C:
e. Adjacent C:
B
90°
1. Consider the triangle ABC. Which side is being described by the following labels?
a. Hypotenuse:
b. Opposite A:
c. Adjacent A:
30°

Answers

Side BC is the hypotenuse of the right triangle ABC. Against A: The side that is opposed to angle A is side BC. Adjacent A: Side AB is the side that faces angle A. The side that is in opposition to angle C is side AB.

What is the right triangle ABC's hypotenuse?

The opposite side of any right-angled triangle, ABC, is referred to as the hypotenuse. Here, we adhere to the tradition that the side opposite angle A is designated with the letter a. Both sides opposing B and C are given the letters b and c, respectively.

If A and B make up the right triangle's legs, how do we solve for the hypotenuse, c?

When a and b if the lengths of the legs of a right triangle are and the hypotenuse's length is c, then the sum of the squares of the legs' lengths equals the square of the hypotenuse's length.

To know more about right triangle visit:-
https://brainly.com/question/6322314

#SPJ1

is the bottled water you are drinking really purified water? a study of various brands of bottled water conducted by the natural resources defense council found that 25% of bottled water is just tap water packaged in a bottle (scientific american, july 2003).

Answers

Yes, there is a chance that the bottled water you are drinking is just tap water packaged in a bottle. According to a study by the Natural Resources Defense Council, 25% of bottled water is just tap water that has been packaged in a bottle. [Scientific American, July 2003]

What is bottled water?

Bottled water is drinking water that has been packaged in bottles or containers for sale. Bottled water can come from a variety of sources, such as municipal supplies, springs, wells, and other sources. In some cases, bottled water is treated or purified to remove impurities and contaminants. However, not all bottled water is purified or treated, and some may be just tap water that has been packaged in a bottle.

What is purified water?

Purified water is water that has been treated to remove impurities and contaminants. Purified water can come from any source, including municipal supplies, wells, and other sources. Purification methods may include filtration, reverse osmosis, distillation, or other methods. Purified water is commonly used in medical and industrial applications, as well as in homes for drinking and cooking.

See more about bottled water at: https://brainly.com/question/30835167

#SPJ11

Estimating the within-group variance. Refer to the previous exercise. Here are the cell standard deviations and sample sizes for cooking enjoyment: Find the pooled estimate of the standard deviation for these data. Use the rule for examining standard deviations in ANOVA from Chapter 12 (page 560) to determine if it is reasonable to use a pooled standard deviation for the analysis of these data.

Answers

In the following question, among the given options, the statement is said to be, The pooled estimate of the standard deviation for the data given is √(54.14^2/10 + 24.26^2/10) = 22.74.

According to the rule for examining standard deviations in ANOVA from Chapter 12 (page 560), the within-group standard deviation should be no more than twice the size of the between-group standard deviation. In this case, the between-group standard deviation is 44.85 and the within-group standard deviation (22.74) is less than twice the size of the between-group standard deviation, so it is reasonable to use a pooled standard deviation for the analysis of these data.

For more such questions on deviation

https://brainly.com/question/475676

#SPJ11

A taxi service charges $2 for the first mile and then $1. 20 for every mile after that. The farthest the taxi will

travel is 25 miles.

If a represents the number of miles traveled, and y represents the total cost of the taxi ride, what is the most

appropriate domain for the situation?

Answers

The appropriate domain for the number of miles travelled by the taxi is found as: [0, 25]

Explain about the linear equation?

In a two-variable linear equation, x and y have a linear connection, meaning that the value of any one of the variables, y, relies upon that value of the other, x.

Cost for first mile of  taxi service  = $2.00

Additional cost = $1.20 per mile.

Peak distance = 25 miles.

a = number of miles traveled by taxi.

y = total cost of the taxi ride

The linear equation forms:

y = $1.20a + $2.00

When a = 0; y = $2.00

a = 25 ; y = $1.20*25 + $2.00 = 32

Thus, the appropriate domain for the number of miles travelled by the taxi is found as: [0, 25]

Know more about the linear equation

https://brainly.com/question/2030026

#SPJ1

The exponential probability distribution is used with: A. A discrete random variable B. A continuous random variable C. Any probability distribution with an exponential term D. An approximation of the binomial probability distribution

Answers

The exponential probability distribution is employed with a random variable that is continuous in nature.


What do you mean by exponential probability distribution ?

In the field of probability, a probability distribution refers to a mathematical function that gives the probabilities of various possible outcomes of an experiment. The exponential probability distribution is a probability distribution that models the time between events in a Poisson process, where events occur continuously and independently at a constant average rate. It is a continuous probability distribution, meaning that the random variable takes on values within a continuous range, as opposed to a discrete probability distribution, where the random variable takes on only a finite or countable set of values.

Explanation of the correct answer :
The exponential probability distribution is defined by a single parameter, [tex]\lambda[/tex] which represents the average rate of occurrence of events in the Poisson process.

The probability density function (pdf) of the exponential distribution is given by [tex]f(x) = \lambda e^{(-\lambda x)}[/tex], where x is the time between events. The cumulative distribution function (cdf) is given by [tex]F(x) = 1 - e^{-\lambda x}[/tex].

The exponential probability distribution is used in many applications, such as queuing theory, reliability theory, and finance. For example, it can be used to model the time between customer arrivals in a queue, the time between machine failures in a manufacturing process, or the time until default on a bond.

In summary, the exponential probability distribution is a continuous probability distribution that is used with a continuous random variable, specifically to model the time between events in a Poisson process.
Hence, option B is correct.

To know more about exponential probability visit :

brainly.com/question/10900747

#SPJ1

What is the solution to the equation 2.4m − 1.2 = −0.6m?

Answers

Answer:

0.4

Step-by-step explanation:

Subtract 2.4m on each side

-1.2 = -3.0m

divide by -3.0

you get 0.4

In a certain class of 40students, 90% passed ssce mathematics examinations and 75% passed English. If 2 students failed both mathematics and English, what percentage of students passed both examinations

Answers

30% percent of the students passed both Mathematics and English.

What is Percentage?

A rate, number, or amount in each hundred is known as a percentage

Let's use a Venn diagram to represent the information given in the problem. Let M be the set of students who passed Mathematics, E be the set of students who passed English, and F be the set of students who failed both.

We know that there are 40 students in the class, and 90% passed Mathematics, so the number of students who passed Mathematics is 0.9 × 40 = 36. Similarly, 75% passed English, so the number of students who passed English is 0.75 × 40 = 30.

We also know that 2 students failed both Mathematics and English, so we can label the F section with 2.

where the number in each section represents the number of students who passed the respective exam.

To find the percentage of students who passed both examinations (i.e., the intersection of M and E), we need to add the number of students in the M and E intersection to the F section, then subtract that from the total number of students (40), and finally divide by 40 to get the percentage. That is:

percentage of students who passed both exams = (M ∩ E + F) / 40 × 100%

= (28 + 2) / 40 × 100%

= 30%

Therefore, 30% of the students passed both Mathematics and English.

To learn more about Percentage, click on the link:

https://brainly.com/question/24877689

#SPJ1

I need to show my work please help

Answers

Answer:

x=15

Step-by-step explanation:

use the side splitter theorem

(x-6)/x = 3/5 (cross-multiply)

3x=5(x-6) distributive property

3x=5x-30

2x = 30

x = 15

What is the sum of the following equation? (2 points)

three tenths plus thirty-nine hundredths equal blank

A. thirty-six hundredths
B. forty-two hundredths
C. sixty-nine hundredths
D. ninety-six hundredths

Answers

Answer:

sixty nine hundredths

Step-by-step explanation:

three tenths can be expressed in decimal as 3/10

thirty nine hundredths can be expressed in decimal as 39/100

Therefore the sum of three tenths plus thirty nine hundredths equals

3/10 +39/100

We first find the l.c.m of the two fractions equals 100 so we have 100 as the denominator

then 100 divided by 10  multiplied by 3 +100 divided by 100 multiplied by 39 as illustrated below gives the answer

3/10 +39/100

=30+39/100

=69/100= sixty nine hundredths

Due today help pls!!!!

Answers

Answer:

32.1m

Step-by-step explanation:

[tex]2\pi r*(\frac{x}{360})=[/tex] arc length of sector of a circle

2 radii + arc length of a sector of a circle= perimeter of the sector

x=90 degrees

r=9

substitute values to find the arc length

[tex]2(9)*\pi *(\frac{90}{360} )= arc length\\arclength=14.1\\[/tex][tex]14.1+2(9)=32.1[/tex]

Other Questions
biology 11.5 assessment answer what are three types of barriers that can lead to reproductive isolation PLEASE HELP ASAP, 331 USER CENTERED DESIGN PRINCIPLES OF BIOMEDICAL SCIENCES!!The creators of the Gluc-O-Meter app have received feedback that users would like the app to track their sleep patterns. A design team has surveyed many users to determine the desired requirements for the apps new sleep pattern screen. It is up to you to create the design sketches for this screen.Features Needed on Sleep Pattern Screen:The user needs to be able to: Indicate that they want to log sleep from the previous night Enter the times they went to sleep and woke up See their average amount of sleep per week Change the display to see sleep patterns from other days Navigate to the other screens in the appImportant: Keep the UI simple. Complicated or crowded screens can be slow to use or prone to error. Your drawing does not have to be perfect. It should communicate the features of the app, not your drawing skills.Examples: 14,13,13. 5,16,14,15. 5,14. 5 which plot shows the distribution The Hubble Space Telescope orbits the Earth at an average altitude of 340 miles above the surface of the Earth. It completes one orbit in roughly 95 minutes. Assume that the orbit is circular and that the radius of the Earth is 3959 miles. 1. What fraction of a complete orbit does the telescope make in one hour? 2. Find the angle associated with the circular arc made by the telescope over one hour. 3. How fast is the telescope moving around the Earth in miles per hour? In a middle school library, there are currently 6 boys and 7 girls. If two students are selected at random what is the probability that both are boys? firms position products based on which of the following? (choose every correct answer.) multiple select question. a. demographics b. psychographics c. value symbols d. salient attributes the emergency departmen tnurse is performing an assessment who has sustained circumferential burns of both legs Peters, a suburban homeowner, decided to resurface with bricks the concrete area surrounding his pool. He purchased from Homeco, a local homeimprovement store, a concrete cutter manufactured by Conco, which had a blade manufactured by Bladeco. He then took the concrete cutter home and assembled it following the instructions provided by Conco.The blade that Peters purchased was clearly labeled "Wet." Although noinstructions or warnings came with the blade, Conco included several warnings throughout the instructions to the concrete cutter stating, "If using a wet blade, frequently water the blade and surface being cut to avoid risk of blade degradation." No other warnings relating to the blade were included with theconcrete cutter.Peters began cutting the concrete with the concrete cutter without using water.Less than five minutes into the job he noticed that the cutter was vibrating excessively. He turned the machine off by hitting the "kill switch" located near the blade at the bottom of the cutter, with his right foot. The cutter's handle did not have a "kill switch." After carefully examining the concrete cutter and blade,Peters became convinced that nothing was wrong and continued to operate it.Nevertheless, within seconds, the concrete cutter again began vibrating violently.As Peters reached with his right foot to hit the "kill switch" again, the blade broke into pieces, forced off the cutter's safety guard, spiraled into Peter's right foot and caused permanent injuries.On what theory or theories might Peters recover damages from and whatdefenses may reasonably be raised by: what does the next generation of townspeople attempt to do with col. sartoris' arrangement for miss emily's taxes? ) Predict the product for the following reaction. Assume you have an excess of potassium tert-butoxide. (CH3),COK Br how president roosevelt used his executive powers during world war ii? we've discussed in class the issue of how the different perception of standard and non-standard dialects is a social construct and not a linguistic reality. provide an example of how non-standard dialects are used as a proxy for the expression of discriminatory attitudes towards the speakers of those dialects. think about this issue and give examples. graph of 12x+6y=432 & 9x+3y=270 Mrs. Young has p goats and q cows on his farm. He has 23 fewer cows than goats. What are the missing values in the table?PLSSSS QUICK Monique and Tara each make an ice-cream sundae. Monique gets 2 scoops of Cherry ice-cream and 1 scoop of Mint Chocolate Chunk ice-cream for a total of 71 g of fat. Tara has 1 scoop of Cherry and 2 scoops of Mint Chocolate Chunk for a total of 61 g of fat. How many grams of fat does 1 scoop of each type of ice cream have? a homogeneous wire is bent into the shape shown. determine the x coordinate of its centroid by direct integration. express your answer in terms of a. Ten bags each contain a different number of marbles. The number of marbles in each bag ranges from 1 to 10. Five friends take two bags each. Amina got 5 marbles. Breanna got 7 marbles. Chyna got 9 marbles. Deion got 15 marbles. How many marbles did Emila get? A major cab company in Chicago has computed its mean fare from O'Hare Airport to the Drake Hotel to be $27.87, with a standard deviation of $3.50. Based on this information, complete the following statements about the distribution of the company's fares from O'Hare Airport to the Drake Hotel.(a) According to Chebyshev's theorem, at least __of the fares lie between 20.87 dollars and 34.87 dollars.(b) According to Chebyshev's theorem, at least 84% of the fares lie between ____ and ____. (Round your answer to 2 decimal places.)(c) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately 99.7% of the fares lie between _____ and ______.(d) Suppose that the distribution is bell-shaped. According to the empirical rule, approximately ____ of the fares lie between 20.87 dollars and 34.87 dollars. yasmin hamid is a first-year college student. knowing she will often research topics using her mobile phone and laptop, she wants a fast, secure browser that is also easy to use. evaluate and compare reviews of three browsers, at least one of them a mobile browser. consider chrome, microsoft edge, apple safari, mozilla firefox, opera, and others you might find in your research. recommend two browsers: one for when yasmin uses her laptop, and one for when she uses her mobile phone. discuss your experiences with these browsers and mention speed, security, and features in your recommendation. Q4. Convert these into proper vector notation:Westward velocity of 42 km/h. Position 6. 5 measured in m that is North of the reference point. Downward acceleration measured in m/s2 that has a magnitude of 1. 9.