if m<2, then m<1 is...

Answer:

y= 2/3x +5

Step-by-step explanation:

(0,5) is the y intercept and the slope is 2/3 so we can use the y intercept form

y = mx+b where m is the slope and b is the y intercept

y= 2/3x +5

Answer:

y= 2/3x+5

Step-by-step explanation:

Okay, to write the equation of a line you need two values. The y intercept and the slope. The y intercept has an x coordinate of zero, and lucky us, the point you were given has an x coordinate of zero so that's done. You were also given the slope, so you don't have to calculate it. Anyways, the formula of a line is written in slope intercept form usually, so y=mx+b. Just fill in the gaps, m= the slope and b=the y intercept. The slope is 2/3, and the y intercept is 5. So, inserting in the variables you get y=2/3x+5.

Hope that helps!

Step-by-step explanation:

First,

(A intersect B) = {1,2,4,5} intersect {1,3,5,7}

= {1,5}

Now,

A'n B = (A) - (A intersect B)

= {1,2,4,5} - {1,5}

= {2,4}

Answer:

.58 repeating 3

Step-by-step explanation:

7/12=.58 repeating 3

Answer:

WXY is an obtuse angle, YXZ is an acute angle, and WXZ is a straight line.

Step-by-step explanation:

WXY is greater than 90 degrees, YXZ is lesss than 90 degrees, and WXZ is a straight 180 degree line.

The required name for a special type of pair of angles shown is supplementary angles.

Orientation of the one line with respect to the horizontal or other respective line is known as a measure of orientation and this measure is known as the angle.

Here,
The figure, shown is pair of angles whose sum is equal to 180,
The by definitions of the angle where the sum is equal to 180° and adjacent angles are said to be supplymentary angles.

Thus, the required name for a special type of pair of angles shown is supplementary angles.

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Answer:

b/2-1 has a verbal phrase can be one minus the quotient of b and 2.

Answer:

1) -2x

2) 6x - 17

3) -16x

4) 3m - 5

5) 2m

6) 2x - 9

7) 9x

8) 6x + 8

Step-by-step explanation:

1) = x(7-9) = x(2) = 2x

2) x(-2+8) - 7 - 10 = x(6) - 17 = 6x - 17

3) x(-10-6) + 3 - 3 = x(-16) + 0 = 16x

4) m(2+1) - 6 + 1 = 3m - 5

5) m(10-8) = m(2) = 2m

6) x(1+1) - 5 - 4 = 2x - 9

7) x(4+5) = x(9) = 9x

8) x(7-1) + 3 + 5 = 6x + 8

Answer:

picked

Step-by-step explanation:

It is the only one that sounds correct.

Answer:

hi,

i think the answer can be picked

Step-by-step explanation:

picked is the answer

Answer:

A. 32 units

Step-by-step explanation:

First, we need to find all of the side lengths of triangle using distance formula:

Now, we can calculate length of PQ, QR and PR sides by using their vertices and above formula:

For perimeter we add up the length of all of its sides:

This is because the red and blue lines cross at (0,-2). We don't really need to worry about the y coordinate here. For this problem, all we care about is the x coordinate, which is x = 0.

When x = 0, the outputs of each function f(x) and g(x) are both the same value. So that's why we can say f(0) = g(0). It's the same as saying f(x) = g(x) has the solution x = 0.

Answer:

Step-by-step explanation:

[tex] \sf{x + 3x - 36}[/tex]

Here, we have to collect like terms.

_________________________________

▪️What do you mean by like terms ?

⇒Like terms are those which have the same base. While adding or subtracting like terms, we should add or subtract the coefficients of like terms.

_________________________________

Let's add the like terms :

Answer : 4x - 36

Hope I helped!

Best regards!

Answer:

If thrown up with the same speed, the ball will go highest in Mars, and also it would take the ball longest to reach the maximum and as well to return to the ground.

Step-by-step explanation:

Keep in mind that the gravity on Mars; surface is less (about just 38%) of the acceleration of gravity on Earth's surface. Then when we use the kinematic formulas:

[tex]v=v_0+a\,*\,t\\y-y_0=v_0\,* t + \frac{1}{2} a\,\,t^2[/tex]

the acceleration (which by the way is a negative number since acts opposite the initial velocity and displacement when we throw an object up on either planet.

Therefore, throwing the ball straight up makes the time for when the object stops going up and starts coming down (at the maximum height the object gets) the following:

[tex]v=v_0+a\,*\,t\\0=v_0-g\,*\,t\\t=\frac{v_0}{t}[/tex]

When we use this to replace the 't" in the displacement formula, we et:

[tex]y-y_0=v_0\,* t + \frac{1}{2} a\,\,t^2\\y-y_0=v_0\,(\frac{v_0}{g} )-\frac{g}{2} \,(\frac{v_0}{g} )^2\\y-y_0=\frac{1}{2} \frac{v_0^2}{g}[/tex]

This tells us that the smaller the value of "g", the highest the ball will go (g is in the denominator so a small value makes the quotient larger)

And we can also answer the question about time, since given the same initial velocity [tex]v_0[/tex] , the smaller the value of "g", the larger the value for the time to reach the maximum, and similarly to reach the ground when coming back down, since the acceleration is smaller (will take longer in Mars to cover the same distance)

Answer:

Step-by-step explanation:

From the question

P=2L+2W

where

L is the length

W is the width

To make W the subject move 2L to the left side of the equation

That's

2W = P - 2L

Divide both sides of 2 to make W stand alone

We have

[tex]W = \frac{P - 2L}{2} [/tex]

when

P = 70

L = 22

W is

[tex]W = \frac{70 - 2(22)}{2} \\ W = \frac{70 - 44}{2} \\ W = \frac{26}{2} [/tex]

We have the final answer as

Hope this helps you

Answer:

Width W = 13

Step-by-step explanation:

P = 2L + 2W

if the perimeter P = 70

and Length L = 22

find the Width W

P = 2L + 2W

70 = 2(22) + 2W

70 - 44 = 2W

26 = 2W

W = 26 / 2

W = 13

therefore,

the Width W = 13

check:

P = 2L + 2W

70 = 2(22) + 2(13)

70 = 44 + 26

70 = 70   --- OK

Answer:

let the shortest side be 'x' ft

length of second side = x + 6 ft

length of third side = 2(x+6) - 6 ft

perimeter of triangle = 72 feet

shortest side + second side + third side = 72 ft

x + x + 6 + 2(x+6) - 6 = 72

4x + 12 = 72

x = 15

length of shortest side = 15 ft

length of second side = 15 + 6 = 21 ft

length of third side = 2(15 + 6) - 6 = 36 ft

Answer:

301.189

Step-by-step explanation:

Given the table :

Source of Variation - - SS - - - df - - - MS - - - - F

Regression - - - - - -3177.17 - - -2 - - 1588.6

Residual - - - - - - - - ______ --17 - - -17.717

Total - - - - - - - - - - 3478.36 - - 19

Calculate the SSR, Sum of Square residual

The Sum of Square RESIDUAL (SSR), Mean Square Residual (MSR) and Degree of Freedom RESIDUAL (DFR) are related by the formular :

MSR = SSR / DFR

Hence,

SSR = MSR × DFR

Fr the table ;

MSR = 17.717 ; DFR = 17

SSR = (17.717 × 17)

SSR = 301.189

Answer:

(-3,-2) is the midpoint

Step-by-step explanation:

To find the midpoint

Add the x coordinates and divide by 2 to find the x coordinate of the midpoint

(-1+-5) /2 = -6/2 = -3

Add the y coordinates and divide by 2 to find the y coordinate of the midpoint

(-5+-9) /2 = -4/2 = -2

(-3,-2) is the midpoint

Step-by-step explanation:

To solve, we have to use the midpoint formula:

[tex]M=(\frac{x_{1}+x_{2} }{2} ,\frac{y_{1}+y_{2} }{2})[/tex]

Our points:

(-1, -5) (-5, 9)

Our x1 is -1, and our x2 is -5. Our y1 is -5, and our y2 is 9.

[tex]M=(\frac{-1+(-5) }{2} ,\frac{-5+9 }{2})[/tex]

[tex]M=(\frac{-6 }{2} ,\frac{4}{2})[/tex]

[tex]M=(-3 ,2)[/tex]

Answer: our midpoint: (-3, 2)

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Hi my lil bunny!

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[tex]\boxed{ a^2 b^2 + -a^2 + -b^2 + 1 + 4ab}[/tex]

Let's simplify step-by-step.

[tex]( a^2 - 1 ) ( b^2 -1) + 4ab[/tex]

Distribute:

[tex]=( a^2) (b^2) + (a^2) (-1) + ( -1) (b^2) + (-1) (-1) + 4ab[/tex]

[tex]= a^2 b^2 + -a^2 + -b^2 + 1 + 4ab[/tex]

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Have a great day/night!

❀*May*❀

Answer:

a²b² - a² - b² + 4ab + 1

Step-by-step explanation:

( a²- 1) ( b²- 1) + 4ab

(a²b² - a² - b² + 1) + 4ab

a²b² - a² - b² + 4ab + 1

Answer: 20, 40, 60, 80, 100,....

Step-by-step explanation:

Given that :

It is possible to create teams of 4 for a relay race with no student leftover

Also,

It is possible to create teams of 5 for dodgeball with no student left over from the same class

To deduce the possible number of students in the class, then the number of students should be a multiple of both 4 and 5

Multiples of 4 include = 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100,....

Multiples of 5 : 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80, 85, 90, 95, 100,....

Multiples common to both 4 and 5 : 20, 40, 60, 80, 100,....

Answer: 2(10+5)

Step-by-step explanation: half of 20 is 10. half of 10 is five and i put them both in parentheses. outside the parenthesis i placed 2 so it is multiplied to the inner set of numbers.

Answer: Approaches to 1.

Step-by-step explanation:

If there are only 3 dice used, then the only chance that the player has to win is when the 3 dice have the same outcome, 6.

The probability will be:

p = (1/6)^3 = 1/216.

Now, if we add one more dice, we still need at least 3 sixes to win, but the other dice can have any other value. so now the probabilities are:

dice 1---- outcome  = 6, prob = 1/6.

dice 2---- outcome  = 6, prob = 1/6.

dice 3---- outcome  = 6, prob = 1/6.

dice 4---- outcome  = any number, prob = 1.

The probability for this arrangement is still:

p = 1/216.

But now we have permutations!.

The dice that can be any number has 4 possible positions, so the actual probability will be:

P = 4*p = 4/216.

Now remember that if we have N elements, the total number of combinations of K elements ( N ≥ K) is:

[tex]C(N, K) = \frac{N!}{(N - K)!K!}[/tex]

if we add other dice, then we will have 5 dices, and 2 of them that can not be 6 that can take any position, then the number of combinations will be:

[tex]C(5, 2) = \frac{5!}{(5 - 2)!2!} = \frac{5*4}{2} = 10[/tex]

Then the probability will be:

P = 10*p = 10/216.

So we can start to see a pattern here, if we have N dices, we still only need 3 of them to be strictly 6, then we have (N - 3) dices that can be any number.

Then the probabilty of winning if you have N dices is:

P = C(N, N - 3)*p = C(N, N - 3)*(1/216)

Then as N increases, we will see that the probability tends to 1, (it actually grows larger than that, but remember that the probability is a number between 0 and 1, so the maximum is 1)

Why? well... if you roll a lot of dice, suppose 1000 of them, is really likely to have at least 3 sixes in there, so as the number of dice increases, also does the probability.

Answer:

5.09 units

Step-by-step explanation:

Given equation

[tex]y=2\ln x=f(x)[/tex] in the interval [tex]1\le x\le 4[/tex]

So we integrate [tex]y[/tex] in the given interaval

[tex]\int f(x)=2\int\limits^4_1 {\ln x}dx[/tex]

Let us integrate [tex]\ln x[/tex] first.

let

[tex]u=\ln x, dv=dx[/tex]

[tex]du=\dfrac{1}{x}, v=x[/tex]

[tex]\int\ln x dx=udv[/tex]

Using integration by parts we get

[tex]uv-\int vdu[/tex]

[tex]=x\ln x-\int x\dfrac{1}{x}dx[/tex]

[tex]=x\ln x-dx[/tex]

[tex]=x\ln x-x+C[/tex]

So here

[tex]\int f(x)=2\int\limits^4_1 {\ln x}dx\\ =2(x\ln x-x)_1^4\\ =2[(4\ln 4-4)-(1\ln 1-1)]\\ =2[4\ln 4-4+1]\\ =5.09\ units[/tex]

The area of the the region between the curve and horizontal axis is 5.09 units.

Answer:

y=18 gallons

Step-by-step explanation:

You can multiply how many hours he's been driving by the 2 gallons and subtract it from 18

Answer:

11 gallons

18=-2h h=3.5

Step-by-step explanation:

-2(3.5)=18

18-7=11, he has 11 gallons of gas left

I assumed you are referring to the Net (take away by the seller after removing their commissions).

Answer:

Selling price

Step-by-step explanation:

To determine what amount goes to the seller, we multiply the selling price of a commodity in question by the percentage (commissions) to the seller.

Note that the resulting amount is the value of the commission paid to the seller, the actual net is gotten by substracting the selling price from the commission paid.

Answer:

[tex]321_{10} = 101000001_{2}[/tex]

[tex]1023_{10} = 1111111111_2[/tex]

[tex]100632_{10} = 11000100100011000_{2}[/tex]

Step-by-step explanation:

Given

a) 321

b) 1023

c) 100632

Required

Convert to decimal

To convert each of these to binary, we have to divide the quotient by 2 and we take note of the remainder;

Solving (a)

321 / 2 = 160 R 1

160 / 2 = 80 R 0

80 / 2 = 40 R 0

40 / 2 = 20 R 0

20 / 2 = 10 R 0

10 / 2 = 5 R 0

5 / 2 = 2 R 1

2 / 2 = 1 R 0

1 / 2 = 0 R 1

Hence;

[tex]321_{10} = 101000001_{2}[/tex]

Solving (b)

1023 / 2 = 511 R 1

511 / 2 = 255 R 1

255 / 2 = 127 R 1

127 / 2 = 63 R 1

63 / 2 = 31 R 1

31 / 2 = 15 R 1

15 / 2 = 7 R 1

7 / 2 = 3 R 1

3 / 2 = 1 R 1

1 / 2 = 0 R 1

Hence;

[tex]1023_{10} = 1111111111_2[/tex]

Solving (c)

100632 / 2 = 50316 R 0

50316 / 2 = 25158 R 0

25158 / 2 = 12579 R 0

12579 / 2 = 6289 R 1

6289 / 2 = 3144 R 1

3144 / 2 = 1572 R 0

1572 / 2 = 786 R 0

786 / 2 = 393 R 0

393 / 2 = 196 R 1

196 / 2 = 98 R 0

98 / 2 = 49 R 0

49 / 2 = 24 R 1

24 / 2 = 12 R 0

12 / 2 = 6 R 0

6 / 2 = 3 R 0

3 / 2 = 1 R 1

1 / 2 = 0 R 1

Hence;

[tex]100632_{10} = 11000100100011000_{2}[/tex]

Answer:

In part A, 6 squares made up of 4 units represented an area of 24.

In part B, the prime factorization of 24 gave 24 = 2 ∙ 2 · 2 · 3, which is equal to 4 · 6.

The factor that is a perfect square, in this case 4, determines the size of squares needed for the visual model, and other factor, 6, determines the number of squares of that size.

Step-by-step explanation:

Answer:

Given fraction is 6/9 .

→What does fractions in simplest form means?

→ How to convert?

Now HCF of 6 and 9 is 3.

→ 6/9 = 6÷3/9÷3 = 2/3.

Hence the required answer is 2/3.

Answer:

[tex]\Large \boxed{\displaystyle \frac{2}{3}}[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{6}{9}[/tex]

Factor out 3 from the numerator and denominator.

[tex]\displaystyle \frac{3(2)}{3(3)}[/tex]

Cancel the common factors.

[tex]\displaystyle \frac{2}{3}[/tex]

Answer:

Step-by-step explanation:

f(x) = x² + 14x - 5

To find the reminder when f(x) is divided by x - 5 , substitute the value of x into the above formula

That's

x - 5 = 0

x = 5

So we have

f(5) = 5² + 14(5) - 8

f(5) = 25 + 70 - 8

f(5) = 95 - 8

We have the final answer as

Hope this helps you

Answer: 87

Step-by-step explanation: took the test hope this helps :)

Answer:

The diver is moving down, so he moved −20 feet. Start with 20 negative tiles and separate them into 5 equal groups. There are 4 negative tiles in each group, so he traveled at a rate of −4 feet per second.

Step-by-step explanation:

Answer:

4 feet per second

Step-by-step explanation:

We can create a proportion:

[tex]\frac{20}{5} = \frac{x}{1}[/tex]

Cross multiply:

[tex]20\cdot1=20\\\\20\div5=4[/tex]

So he's travelling at a rate of 4 feet per second.

Hope this helped!

Answer:

AC = 10 units

Step-by-step explanation:

From the picture attached,

Triangle ABC is a right triangle.

Opposite side of the right angle B = Hypotenuse (AC)

and the other two legs are AB and BC

Pythagoras Theorem states

(hypotenuse)² = (leg 1)² + (leg 2)²

AC² = AB² + BC²

AC² = (6)² + (8)²

AC² = 36 + 64

AC² = 100

AC = √100

AC = 10

Therefore, length of the hypotenuse (AC) = 10 units will be the answer.

Answer:

l=w=h=15

Step-by-step explanation:

Volume of a cube= l*w*h

where l=w=h

[tex]l = {}^{3} \sqrt{ v} \: \: \: l = {}^{3} \sqrt{3375} = 15 [/tex]

15*15*15=3375

Hope this helps ;) ❤❤❤

The measure of each side of the cube will be 15 inches.

The Volume of the cone is the amount of quantity, which is obtained in the 3-dimensional space. Volume is defined as the space occupied by an object in the three-Dimensions. All three parameters are required for the volume like length, width, and height of the cube or Cuboid

The cube has all the sides equal means that the length, width, and height of the cube will be the same. Let's suppose the length, width, and height of the cube is a.

The volume of a cube will be given by the formula:-

Volume = side³ = a³

a³ = 3375

a = ∛3375

a = ∛( 15 x 15 x 15 )

a = 15 cubic inches.

Therefore, the measure of each side of the cube will be 15 inches.

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Answer:

utv = 24° wtx=113°

Step-by-step explanation:

I solved in the picture

hope this helps ^-^