The rate of change is constant in each table. Find the rate of change. Explain what the rate of change means for the situation
A. 10; your car travels for 10 hours.
B. 260 your car travels 260 miles.
C.1/65; your car travels 65 miles every 1 hour.
D.65/1 Your car travels 65 every 1 hour

Answer:

slope = - 4

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = - 1, 22) and (x₂, y₂ ) = (1, 14) ← 2 ordered pairs from the table

m = [tex]\frac{14-22}{1-(-1)}[/tex] = [tex]\frac{-8}{2}[/tex] = - 4

Answer: 465 π

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:  

Volume of a cylinder (V): π x (diameter /2) ² x height  

Replacing with the values given and solving for v (Volume)  

V = π x (6/2)²x 50

V = 450π

And then for the bottom part:

Volume of a cone = 1/3 x π x (diameter/2)^2 x height  

Replacing with the values given:  

V = 1/3 π (6/2) ^2 (5) = 15π

Finally we add the volumes:

450π+15π = 465 π

In conclusion, the volume of the solid is 465π m3.  

Feel free to ask for more if needed or if you did not understand something  

Answer:

D

Step-by-step explanation:

f(x) has a horizontal asymptote of -4 while g(x) has horizontal asymptote of zero, in both functions, y is closer to infinity as x is closer to negative infinity,

A and B are definitely incorrect

while x gets closer to infinity, in f(x) y gets closer to -4, while in g(x) y gets closer to 0, thus they have a different end behavior as x approaches infinity

So, C is wrong, since it says that they have the same end behavior as x approaches infinity

Thus, D is correct

Answer:

(2,5)

Step-by-step explanation:

Choose values for  x  and substitute in to find the corresponding  y  values.

(2) - 2y = -8

2 = 2y - 8

10 = 2y

5 = y

(2,5)

Answer:

2

Step-by-step explanation:

It's 2 because the numbers go up by 2 each time the mean is identified meaning that the mean of each is 4.

Answer:

I got 2

Step-by-step explanation:

Answer:

((n-x)/n)*100

Step-by-step explanation:

The Answer is:

((n-x)/n)100

Answer:

9

Step-by-step explanation:

Take -14 minus -5

-14 - (-5)      Distribute the negative to -5

-14 + 5        Add

-9               Since distance can't be negative take the absolute value of -9

|-9| = 9

Answer:

the distance is 9

Step-by-step explanation:

its 9 because 14-5 = the distance of them on a number line

Answer:

3

Step-by-step explanation:

Alternate Interior Angles are a pair of angles on the inner side of each of those two lines but on opposite sides of the transversal. In this example, these are two pairs of Alternate Interior Angles: 2 and 3

Answer:

5.

Step-by-step explanation:

That would be |-1 - (-6)|

= |-5|

= 5.

Answer:

-22

Step-by-step explanation:

Which part of the function is valid when x = -6

The first part

h(-6) = 4x+2 and let x = -6

        =4(-6) +2

        = -24 +2

         =-22

Answer:

-22

Step-by-step explanation:

Answer:

1500 ft

Step-by-step explanation:

1 yd=3 ft

500 yd*3 ft/yd=1500 ft

Answer:

1500 ft

Step-by-step explanation:

Multiply 500 yds by the conversion factor derived from 1 yd = 3 ft:

500 yd      3 ft

----------- * ----------- = 1500 ft

     1           1 yd

Answer:

the answer is A

Step-by-step explanation:

i went but the all the other answers in and it was left to  A

Option A is the correct answer.

What is the cost of one item if the cost of m items is x?

The cost of one item is obtained by dividing the total cost of m items by the number of items.

Given

The total amount spent by Sal > $24,

cost of 3 tennis balls = $2.

Cost of n tennis balls

Divide the cost of three tennis balls by 3 to get the cost of one tennis ball, which is $2/3.

Let the number of balls bought by Sal be n, and P be the cost of n tennis balls.

Total amount spent by him, P = cost of one ball × number of balls bought = ($2/3) × n = $(2/3)n.

Obtain the inequality

Since the total amount spent by him > $24, using the above value of P we obtain,

$(2/3)n > $24.

The inequality to be used to find n is (2/3)n > 24.

Learn more about the amount calculation problem here

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Answer:

in 6.36004793262 seconds

Step-by-step explanation:

h(t) = –16t^2 + v*t + h

0=-16t^2 + 70*t+ 202

t=(-70 ± sqrt((70^(2)-4*(-16)*202))/(2*(-16))

t=(-70 ± sqrt(4900+64*202))/-32

t=(-70 ± sqrt(4900+12928))/-32

t=(-70 ± sqrt(17828))/-32

t=(-70 ± sqrt(2*2*4457))/-32

t=(-70 ± 2 sqrt(4457))/-32

t=(-70 + 2 sqrt(4457))/-32

t=-1.98504793262

t=(-70 - 2 sqrt(4457))/-32

t=6.36004793262

since we need the time it will fall to the ground after it was thrown and time can't be negative, answer is

in 6.36004793262 seconds

I don't know till what I am supposed to round, so I will leave it there.

Answer:

-200, -300, -450, -675

The geometric sequence which shows a pattern in which each term is 1.5 times the previous term is A = -200 , -300 , -450 , -675 ...

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

Let the geometric progression be represented as A

Now , the value of A is

A = -200 , -300 , -450 , -675 ...

The common ratio of the GP = second term / first term

On simplifying , we get

r = -300 / -200

r = 3/2

r = 1.5

Therefore , each term is 1.5 times the previous term

Hence , the GP is solved

To learn more about geometric progression click :

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Answer:

I think its x = 2 , -1 but i don't really know how to explain things sorry

Answer:

(a, 0), (0, b), (-a, 0), (0, - b)

Step-by-step explanation:

Since, all vertices of the rhombus lie in the x and y axes.

x - axis is given by a and y - axis is given by b.

Therefore, coordinates of vertices lying on x - axes will be (a, 0) & (-a, 0) and coordinates of vertices lying on y - axes will be (0, b) & (0, - b).

Answer:

C

Step-by-step explanation:

C is the only viable answer, because it it the only one that decreases as x approaches infinity. Exponential decay decreases, hence the decay part.

The graph of the unknown function C represents exponential decay.

The correct option is C.

An exponential function's curve is created by a pattern of data called exponential decay, which exhibits higher decreases over time.

The exponential decay function:

Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.

Given:

Two graphs of the unknown functions are given.

And when the value of x approaches to positive infinity,

the value of y decrease exponentially.

And from the above definition,

the graph is C.

Therefore, the graph is C.

To learn more about the exponential decay;

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Step-by-step explanation:

We have:

(125)^1/3

= (5^3)^1/3

= 5^(3*⅓)

= 5 Ans.

Answer:

x = 27

Step-by-step explanation:

4(x−9)=4(9+1/3x).

Divide each side by 4

(x−9)=(9+1/3x)

Subtract 1/3 x from each side

x - 1/3x -9 = 9+1/3x -1/3x

2/3x -9 = 9

Add 9 to each side

2/3x -9+9 = 9+9

2/3x = 18

Multiply each side by 3/2

3/2 * 2/3x = 18*3/2

x = 27

Answer:

27

Step-by-step explanation:

4(x−9)=4(9+1/3x)

4x-36=36+(4/3)*x

(12/3)*x-36=36+(4/3)*x

(8/3)*x=72

8x=216

x=27

Answer:

x < 6

Step-by-step explanation:

8x + 6 < 54

Subtract 6 from each side

8x+6-6 < 54-6

8x < 48

Divide each side by 8

8x/8 < 48/8

x < 6

I guess you have to put the amounts in the boxes based on your data :) hope that helped a little

I think it should go like

3|6

1|2

Answer:

A = 24 units^2

Step-by-step explanation:

The area of a triangle is given by

A = 1/2 bh

The base is 6 and the height is 8

A = 1/2(6) *8

A = 24 units^2

Answer:

Leah: 54km/h

Deborah: 50 km/h

Step-by-step explanation:

250+4x=270

4x=20

x=5

both drove 5 hours

Deborah:

250/5=50km/h

Leah:

270/5=54km/h

Answer:

Step 1

Step-by-step explanation:

he added 4 to the other side instead of taking away 4

Answer:

step 1

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Since the shape of both graphs is the parent parabola form, and g(x) is just shifted up 2 instead of 5, its equation is [tex]2-x^2[/tex], or answer choice A. Hope this helps!

Answer:

−2 − x

Step-by-step explanation:

Answer:

-2-x

Step-by-step explanation:

distribute the the like terms and separate the problem then solve it.

Answer:

  2/3

Step-by-step explanation:

Your model may show you that 1/4 = 2/8. Of course that will be 2 out of 3 of the 3/8 making up the other fraction of the same whole.

  1/4 = 2/3 of the fraction 3/8

Answer:

Option B.

Step-by-step explanation:

The given exponential equation is

[tex]y=ab^x[/tex]  ...(1)

It is given that the graph of above equation passes through points (−3, 24) and (−2, 12).

The graph passes through the point (-3,24), so substitute  x=-3 and y=24 in equation (1).

[tex]24=ab^{-3}[/tex]   ...(2)

The graph passes through the point (-2,12), so substitute  x=-2 and y=12 in equation (1).

[tex]12=ab^{-2}[/tex]   ...(3)

Divide equation (3) by equation (2).

[tex]\dfrac{12}{24}=\dfrac{ab^{-2}}{ab^{-3}}[/tex]

[tex]0.5=b[/tex]

Substitute b=0.5 in equation (2).

[tex]24=a(0.5)^{-3}[/tex]

[tex]24=\dfrac{a}{(0.5)^{3}}[/tex]

[tex]24=\dfrac{a}{0.125}[/tex]

[tex]24\times 0.125=a[/tex]

[tex]3=a[/tex]

Substitute a=3 and b=0.5 in equation (1).

[tex]y=3(0.5)^x[/tex]

Therefore, the correct option is B.

Answer:  31 bacteria per square centimiter.

Step-by-step explanation:

The correct number of bacteria in the question is 2,450.

Hi, to answer this question we have to apply the next formula:

Area of a circle = π x (diameter/2) ^2

Replacing with the values given:

A = π x (10/2) ^2

A = π x (5) ^2

A = π x 25 = 78.54 cm2

Next, we have to divide the number of bacteria (2,450) by the area of the dish  

2450 / 78.54 = 31.19 = 31 bacteria per square centimiter.

Feel free to ask for more if needed or if you did not understand something.