3x + 1
8x – 24
Х
M
N
Ο Ν
Ο Χ
9
MN
MY
The length of XY is
HELP ME PLEASE

Answer:

√ is 10

Step-by-step explanation:

Answer:

63.057

Step-by-step explanation:

circumference= πd

Answer:

[tex] \boxed{ \boxed{ \bold{ \sf{63.05 cm}}}}[/tex]

Step-by-step explanation:

Given,

Circumference ( C ) = 198 cm

Diameter ( d ) = ?

Now, let's find the diameter of the circle :

We have,

[tex] \sf{c \: = \: \pi \: d}[/tex]

plug the values

⇒[tex] \sf{198 = 3.14 \: d}[/tex]

Swap the sides of the equation

⇒[tex] \sf{3.14 \: d \: = 198}[/tex]

Divide both sides of the equation by 3.14

⇒[tex] \sf{ \frac{3.14 \: d}{3.14} = \frac{198}{3.14} }[/tex]

Calculate

⇒[tex] \sf{d = 63.05}[/tex] cm

[tex] \underline{ \underline{ \sf{ \bold{ \blue{further \: more \: information}}}}}[/tex]

▪️[tex] \sf{ \bold{ Circumference}}[/tex]

⇒The perimeter of a circle is called it's circumference. It is the total length of the curved line of the circle.

▪️[tex] \sf{ \bold{ Radius}}[/tex]

⇒It is the line segment that joins the center of a circle and any point on its circumference.

▪️[tex] \sf{ \bold{Diameter}}[/tex]

⇒A line segment that passes through the centre of a circle and joins ant two points on its circumference is called the diameter of the circle. The length of a diameter is two times radius.

Hope I helped!

Best regards!!

Answer:

Height of the cliff = 13.66 m

Step-by-step explanation:

Let the height of the cliff is 'x' m and distance between the base of the cliff and the boat is 'y' m.

From right triangle AOC,

tan 30° = [tex]\frac{\text{Opposite triangle}}{\text{Adjacent side}}[/tex]

[tex]\frac{1}{\sqrt{3}}=\frac{x}{y}[/tex]

y = [tex]x\sqrt{3}[/tex] ------(1)

From right angle triangle BOC,

tan 45° = [tex]\frac{x}{y-10}[/tex]

[tex]1=\frac{x}{y-10}[/tex]

x = y - 10

y = x + 10 -------(2)

From equations (1) and (2),

[tex]x\sqrt{3}=x+10[/tex]

[tex]x(\sqrt{3}-1)=10[/tex]

[tex]x=\frac{10}{\sqrt{3}-1 }[/tex]

x = 13.66 m

Therefore, height of the cliff is 13.66 m.

Answer:

The answer is

Step-by-step explanation:

To make m the subject send n to the left side of the equation

That's

Divide both sides by 5

We have

Find the square root of both sides to make m stand alone

That's

We have the final answer as

Hope this helps you

Answer:

Step-by-step explanation:

r = 5m² - n

Add n to both sides

r + n = 5m² - n +n

r + n = 5m²

Divide both sides by 5

(r+n)/5 = 5m²/5

(r + n)/5 = m²

Take square root ,

[tex]\sqrt{\frac{r + n}{5}} =\sqrt{m^{2}} \\\\\sqrt{\frac{r + n}{5}}=m\\\\\\m=\sqrt{\frac{r + n}{5}}[/tex]

Answer:

-2 + 9i

Step-by-step explanation:

( 3 + 2i ) + ( -5 + 7i )

→ Remove brackets

3 + 2i +- 5 + 7i

→ Remember that the negative cancels out the plus

3 + 2i - 5 + 7i

→ Add the whole numbers together

-2 + 2i + 7i

→ Add the i values together

-2 + 9i

Answer:

[tex]\huge\boxed{-2 + 9i}[/tex]

Step-by-step explanation:

[tex]\sf (3+2i)+(-5+7i)\\Expanding \ Parenthsis\\3+2i -5 +7i\\Combining \ like \ terms\\3-5 + 2i+7i\\-2 + 9i[/tex]

This is the required answer in the form a + b i

===============================================

Explanation:

To go from term to term, we are multiplying by 2

-7 * 2 = -14

-14 * 2 = -28

-28 * 2 = -56

This means the common ratio is 2 and this sequence is geometric.

---------

Alternatively, you can divide each term by its prior term

-56/(-28) = 2

-28/(-14) = 2

-14/(-7) = 2

Each time we get the same result showing the common ratio is 2.

Answer:

Geometric

Step-by-step explanation:

It multiplies by two each time

Answer:

The 7th roots are : [tex]$ 1, \frac{2 \pi}{7}, \frac{4 \pi}{7}, \frac{6 \pi}{7}, \frac{8 \pi}{7}, \frac{10 \pi}{7}, \frac{12 \pi}{7}$[/tex]

Step-by-step explanation:

The roots of unity are evenly spread around the unit circle.      

The roots of unity can be find by using the relation

[tex]$ 1= 1 ( \cos 0 ^\circ +i \sin ^\circ )$[/tex]

[tex]$\sqrt[n]{1} = 1 [\cos (\frac{2k \pi}{n}})+ i \sin (\frac{2k \pi}{n}) ] $[/tex]

Now z be a polynomial.

[tex]$z^7=1 \Rightarrow z = 1^{\frac{1}{7}}$[/tex]

therefore, cos 0 = 1.

[tex]$ z = \cos (2k \pi)^{\frac{1}{7}}$[/tex]                [tex]$ (\cos \theta)^n = \cos n \theta $[/tex]

[tex]$ z = \cos \frac{2k \pi}{7} $[/tex]

Now, for k=0, z = 1

[tex]$ k=1 \Rightarrow z = \cos \frac{2 \pi}{7} = \cos 3 \frac{2 \pi}{7}+ i \sin \frac{2 \pi}{7}$[/tex]

[tex]$ k=2 \Rightarrow z = \cos \frac{4 \pi}{7} = \cos \frac{4 \pi}{7}+ i \sin \frac{4 \pi}{7}$[/tex]

[tex]$ k=3 \Rightarrow z = \cos \frac{6 \pi}{7} = \cos \frac{6 \pi}{7}+ i \sin \frac{6 \pi}{7}$[/tex]

[tex]$ k=4 \Rightarrow z = \cos \frac{8 \pi}{7} = \cos \frac{8 \pi}{7}+ i \sin \frac{8 \pi}{7}$[/tex]

[tex]$ k=5 \Rightarrow z = \cos \frac{10 \pi}{7} = \cos \frac{10 \pi}{7}+ i \sin \frac{10 \pi}{7}$[/tex]

[tex]$ k=6 \Rightarrow z = \cos \frac{12 \pi}{7} = \cos \frac{12 \pi}{7}+ i \sin \frac{12 \pi}{7}$[/tex]

[tex]$ k=7 \Rightarrow z = \cos \frac{14 \pi}{7} = \cos \frac{14 \pi}{7}+ i \sin \frac{14 \pi}{7}$[/tex]

Then the 7th roots are : [tex]$ 1, \frac{2 \pi}{7}, \frac{4 \pi}{7}, \frac{6 \pi}{7}, \frac{8 \pi}{7}, \frac{10 \pi}{7}, \frac{12 \pi}{7}$[/tex]

Answer:

In the problem, the sum of the two functions is 2x + 2

Step-by-step explanation:

For this problem, we have to add together f(x) and g(x).

f(x) = 9 - 3x

g(x) = 5x - 7

(f + g)(x) = (9 - 3x) + (5x - 7)

Combine like terms.

(f + g)(x) = 2x + 2

So, when you combine the two functions together, you will get 2x + 2.

The value of f(x)+g(x) according to the question given is; 2x + 2.

To evaluate the sum of functions f(x) and g(x); we have;

Therefore;

Read more on addition:

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Answer:

  maybe

Step-by-step explanation:

To use ASA, you need to show the side between the angles is congruent to the corresponding side. In ΔACB, you have shown that angles B and C are congruent to their counterparts. The side between angles B and C is BC.

To use ASA, you must show BC ≅ FE.

__

Not enough information is given here for us to tell how one might prove congruence of the triangles. Hence your approach may work, or it may not--depending on the given information.

Answer:

The question is not complete, here is a possible match to the complete question:

Here is Triangle A. Lin created a scaled copy of Triangle A with an area of 72 square units. What scale factor did Lin apply to the Triangle A to create the copy? Remember: A=1/2bh

a) 4

b) 8

c) 16

Answer:

Scale factor = 16

Step-by-step explanation:

From the diagram attached to this solution, the triangle was plotted on a graph sheet, and each grid on the graph represents 1 unit. hence the dimensions of Triangle A from the diagram is as follows:

Base = 3 units

Height = 3 units

Next, in order to determine the scale factor of the area of the triangle after scaling, let us calculate the area of the unscaled triangle.

Area of Triangle = 1/2 (base × height)

Area or Triangle = 0.5 × 3 × 3 = 4.5 square units

Therefore,

Area of unscaled triangle = 4.5 squared units

Area of scaled triangle = 72 squared units

since the area of the scaled triangle is larger than the unscaled triangle, the scale factor is simply the number of times by which the scaled triangle was enlarged, compared to the unscaled triangle. This can be calculated by dividing the scaled triangle by the unscaled triangle as follows:

Scale factor =(scaled triangle) ÷ (unscaled triangle)

Scale factor =  72 ÷ 4.5 = 16

Answer:

[tex]\huge\boxed{ x = 75 k}[/tex]

Step-by-step explanation:

The given ratio is:

=> 5 : 1

Given that the smallest one is 15k

So, Let's built a proportion:

=> 5 : 1 = x : 15   [Where x is the unknown one]

Product of Means = Product of Extremes

x = 5 * 15

=> x = 75 k

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{10 {x}^{2} - 8x + 8}}}}}[/tex]

Option A is the correct option

Step-by-step explanation:

[tex] \sf{8 {x}^{2} + x - 5 + (2 {x}^{2} - 9x + 13)}[/tex]

When there is a ( + ) in front of an expression in parentheses , there is no need to change the sign of each term.

That means, the expression remains the same.

Also, Remove the unnecessary bracket

⇒[tex] \sf{8 {x}^{2} + x - 5 + 2 {x}^{2} - 9x + 13}[/tex]

Collect like terms

⇒[tex] \sf{8 {x}^{2} + 2 {x}^{2} + x - 9x - 5 + 13}[/tex]

⇒[tex] \sf{10 {x}^{2} - 8x - 5 + 13}[/tex]

Calculate

⇒[tex] \sf{10 {x}^{2} - 8x + 8}[/tex]

Hope I helped!

Best regards!!

Answer:

A

Step-by-step explanation:

Answer:

The correct option is;

B. GT PT ET GV PV EV

Step-by-step explanation:

The given information we have;

The number mathematics topics Travis has to chose from tonight = 3 topics

The number of ways he can chose to study each topic = 2 ways

Therefore the number of different combo Travis can chose from is given as follows;

The number of combos = The number of topics × The number of ways

∴ The number of combos = 3 × 2 = 6 combos

Therefore, the possible combos are;

B. GT PT ET GV PV and EV which is the same as GT, GV, PT, PV, ET, and EV.

Answer:

(x - y) (x+y -1)

Step-by-step explanation:

See steps of factorization:

Answer:

10 weeks

Step-by-step explanation:

Answer:

c is the answer

Step-by-step explanation:

Answer:

D. 400 cu ft/

Step-by-step explanation:

1620 - 1180

= 440.

Answer:

10

Step-by-step explanation:

Remove parentheses.

|9+1|

Simplify  9+1  to 10.

|10|

simplify

10

Answer:

The number of pennies are 91 pennies

Step-by-step explanation:

The given parameters are

When we split the pennies in twos the number left = 1

When the pennies are split in 3s the number left = 1

When the pennies are split in 5s the number left = 1

When the pennies are split in 7 the number left = 0

Therefore, 7 is a factor of the number

Given that when the pennies are split in 5s the number left = 1, the number ends with a 1

We have the products of 7 ending with 1 from Excel as 21 and 91, 161...

We check 91 given 21 is directly divisible by 3 as follows;

91/2 = 45 remainder 1

91/3 = 30 remainder 1

91/5 = 18 remainder 1

91/7 = 13 remainder 0

Therefore, the number of pennies are 91 pennies.

Answer:

y = -3x + 13

Step-by-step explanation:

For slope-intercept form, you need the slope and the y-intercept.  To find the slope, you need to rearrange the given equation to slope-intercept form.

x - 3y = 9

-3y = -x + 9

y = 1/3x - 3

The slope for the given equation is 1/3.  The slope of a perpendicular line will be the negative reciprocal.  This means that the slope of the perpendicular line will be -3.

You can now solve for the y-intercept (b) using the slope (m) and the given point in slope-intercept form.

y = mx + b

1 = (-3)(4) + b

1 = -12 + b

13 = b

b = 13

Now that you have both the slope and y-intercept, you can find the equation.

y = -3x + 13

The equation of the line is y = -3x + 13

The equation of a line is an algebraic form of representing the set of points, which together form a line in a coordinate system.

The slope intercept form is given by:

y = mx + b

m = slope and b = y-intercept

We have,

A line perpendicular to line x - 3y = 9 and the line passes through the point (4, 1).

Make the line x - 3y = 9 in slope-intercept form.

-3y = 9 - x

y = (9 - x) / -3

y = (1/3)x - 3

The slope of the line x - 3y = 9 is:

m1=  1/3

Since the line required to find is perpendicular to the line x - 3y = 9

Let the required line slope be m2

m1 x m2 = -1

m2 = -1 / (1/3) = -3

The required line passes through the point (4, 1).

Let the required line be y = mx + b

we have,

1 = (-3)4 + b

1 = -12 + b

b = 13

We can write as:

y = -3x + 13

Thus the equation of the line is y = -3x + 13

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Answer:

The probability that a jar contains more than 466 g is 0.119.

Step-by-step explanation:

We are given that a jar of peanut butter contains a mean of 454 g with a standard deviation of 10.2 g.

Let X = Amount of peanut butter in a jar

The z-score probability distribution for the normal distribution is given by;

                                Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = population mean = 454 g

           [tex]\sigma[/tex] = standard deviation = 10.2 g

So, X ~ Normal([tex]\mu=454 , \sigma^{2} = 10.2^{2}[/tex])

Now, the probability that a jar contains more than 466 g is given by = P(X > 466 g)

            P(X > 466 g) = P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{466-454}{10.2}[/tex] ) = P(Z > 1.18) = 1 - P(Z [tex]\leq[/tex] 1.18)

                                                                  = 1 - 0.881 = 0.119

The above probability is calculated by looking at the value of x = 1.18 in the z table which has an area of 0.881.

Answer:

they are equivalent

Step-by-step explanation:

[tex]\frac{3}{6} = \frac{1}{2} (both \: can \: be \: divide \: by \: 3)[/tex]

[tex] \frac{4}{8} = \frac{1}{2} (both \: can \: be \: divide \: by \: 4)[/tex]

The two (2) fractions are equivalent.

In this exercise, you're required to determine whether or not given fractions are equivalent (equal). In order to do this, we would reduce the fractions to the lowest term.

Given the following fractions;

For Fraction A, we would divide both the numerator and the denominator by 3 because it's common to both them.

Fraction A = [tex]\frac{3}{6} = \frac{1}{2}[/tex]

Simplifying Fraction B, we have;

Fraction B = [tex]\frac{4}{8} = \frac{1}{2}[/tex]

Also, for two (2) fractions to be equivalent, their sums must be equal to one (1).

[tex]Fraction \;A + Fraction \;B = 1[/tex]

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

Therefore, we can deduce from the calculations that the two (2) fractions are equivalent.

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Answer:

212 m²

Step-by-step explanation:

Break it down into 3 rectangles.

10x8=80

4x13=52

16x5=80

80+52+80=212

Answer:

2.3 x 10^11.

Step-by-step explanation:

There are 11 digits after the first digit (2).

The answer is 2.3 x 10^11.

This is called scientific notation.

Answer: 1/4

Step-by-step explanation: In algebra, we use the word slope to describe how steep a line is and slope can be found using the ratio rise/run between any two points that are on that line.

So for the line you see here, let's use these two points to find its slope.

Let's go from left to right.

To get from the point that has the coordinates (0,1) to (4,2),

we rise 1 unit and run 4 units to the right and we end up the other point.

So the slope of this line is 1/4.

Answer:

------->

Step-by-step explanation:

corresponding parts - angles or sides in the same position on similar figures

congruent - having the same exact size and shape

similar figures - figures that have the same shape but not necessarily the same size

congruent figures - figures that have the same size and shape

scale factor - the ratio between the lengths of corresponding sides in similar figures

Answer: The number of dimes is:

Dimes = -(Nickels + Pennies) + 24.

Such that Nickels + Pennies < 24, and each quantity refers to the initial number of coins of the given type.

Step-by-step explanation:

Let's call N = number of nickels, D =  number of dimes, and  P = number of pennies.

The total number of coins is N + D + P

We know that the total value in nickels is:

N*$0.05

The total value in dimes is:

D*$0.10

And the total value on Pennies is:

P*$0.01

Then, the "mean" value of the coins will be equal to the total value of all the coins, divided the total number of coins.

$0.07 = (N*$0.05 + D*$0.10 + P*$0.01)/(N + D + P)

we can mutiply at both sides by the total number of coins, and we have:

$0.07*(N + D + P) = N*$0.05 + D*$0.10 + P*$0.01

Now, if we remove one nickel by five penies, we have:

$0.06 = ((N-1)*$0.05 + D*$0.10 + (P+5)*$0.01)/(N - 1 + D + P + 5)

Again, we multiply in both sides by the total number of coins and:

$0.06*(N - 1 + D + P + 5) = ((N-1)*$0.05 + D*$0.10 + (P+5)*$0.01)

Ok, now we have two equations:

$0.07*(N + D + P) = N*$0.05 + D*$0.10 + P*$0.01

$0.06*(N + D + P + 4) = ((N-1)*$0.05 + D*$0.10 + (P+5)*$0.01)

We can take the second equation and write the right side as:

$0.06*(N + D + P + 4) = ((N-1)*$0.05 + D*$0.10 + (P+5)*$0.01)

                                    = N*$0.05 + D*$0.10 + P*$0.01 - 1*$0.05 + 5*$0.01

                                    =  N*$0.05 + D*$0.10 + P*$0.01

Now, the two equations are:

$0.07*(N + D + P) = N*$0.05 + D*$0.10 + P*$0.01

$0.06*(N + D + P + 4) = N*$0.05 + D*$0.10 + P*$0.01

Then we have that:

$0.07*(N + D + P) = $0.06*(N + D + P + 4)

D*($0.07 - $0.06) = ($0.06 - $0.07)*(N + P)) + 4*$0.06

D*$0.01 = -$0.01(N + P) + 4*$0.06

D = (-$0.01(D + P) + 4*$0.06)/$0.01 = -(N + P) + 24

So the number of Dimes is related to the number of pennies and nickels that we have at the begginig.

Such that in both cases the number of dimes is equal:

D = -(N + P) + 24

Notice that N + P can not be larger or equal than 24, so we have the rule:

N + P < 24.

D

Answer:

9xx2401x=21609x

Step-by-step explanation: 3x3=9. 40x40=1600, 40x9=360x2 because there are 2 of the same problem because the number is the same. 9x9=81.

Now we add them up. 1600+720+81=2401. 2401x9=21609

But don't forget to add the x at the end or the answer is wrong!!!

Answer:

50 miles per hour =73.33 feet per second (the conversion rate)

now if Morris is travelling 3 feet per second less than Aneesha so, the speed of Morris is 70.33 feet per second;

if we convert this to Miles per hour;

70.33 feet per second= 48 miles per hour (approximately)  

so here the last last option is the right

48 miles per hour

Answer:

48 miles per hour

Step-by-step explanation:

Answer:

(-8)/27

Step-by-step explanation:

Simplify the following:

(-2)/(3 (2 + 1/4))

Put 2 + 1/4 over the common denominator 4. 2 + 1/4 = (4×2)/4 + 1/4:

(-2)/(3 (4×2)/4 + 1/4)

4×2 = 8:

(-2)/(3 (8/4 + 1/4))

8/4 + 1/4 = (8 + 1)/4:

(-2)/(3 (8 + 1)/4)

8 + 1 = 9:

((-2)/3)/(9/4)

Multiply the numerator by the reciprocal of the denominator, ((-2)/3)/(9/4) = (-2)/3×4/9:

(-2×4)/(3×9)

3×9 = 27:

(-2×4)/27

-2×4 = -8:

Answer: (-8)/27

Answer:

-8/27

Step-by-step explanation:

-2/3 ÷ 2  1/4

Change to an improper fraction

-2/3 ÷ ( 4*2+1)/4

-2/3 ÷9/4

Copy dot flip

-2/3 * 4/9

-8/27