Match each expression to the scenario it represents.

The unit rate of change of d with respect to t is 8/3

The statement is given as:

increase of 3 units in t corresponds to an increase of 8 units in d.

This can be represented using the following ratio

t : d = 3 : 8

Express as fraction

t/d = 3/8

See attachment for the graph of t/d = 3/8

In (a), we have:

t/d = 3/8

Inverse both sides

d/t = 8/3

This means that:

Slope or Rate = 8/3

Hence, the unit rate of change of d with respect to t is 8/3

Read more about linear functions at:

https://brainly.com/question/4025726

#SPJ1

Answer:

To determine its end behavior, look at the leading term of the polynomial function. Because the power of the leading term is the highest, that term will grow significantly faster than the other terms as x gets very large or very small, so its behavior will dominate the graph.

Step-by-step explanation:

mark it as brainlist

It can be up to 20 feet taller so add 20

To the width:

88 2/3 + 20 = 108 2/3

Divide total height by the height of one story:

108 2/3 / 15 = 7.24

The building can have 7 stories.

b. 7 x 15 = 105 total feet

108 2/3 -105 = 3 2/3 feet below the restrictions

33 is fifteen less than k

---"Is" can be a key word in this statement, meaning equals

33 = k - 15

k = 48

Hope this helps!

Answer:

The 3rd semi-circle equals 31.

Step-by-step explanation:

Since the Pythagorean Theorem states that "The sum of the areas of the two squares on the legs (a and b) equals the area of the square on the hypotenuse (c)," we can find the answer of the 3rd semi-circle by finding the sum of each of the 2 smaller semi-circles and adding them together.

Answer:

[see answer below]

Step-by-step explanation:

"Perry saved 4 twenty-dollar bills, 2 ten-dollar bills, 3 dimes, and 2 pennies."

4 * 20 = 80

2 * 10 = 20

3 * 0.1 = 0.3

2 * 0.01 = 0.02

80 + 20 + 0.3 + 0.02 = $100.32

100.32 - 49.86 = 50.46

Hope this helps you.

Answer:

$50.46

Step-by-step explanation:

7. a

Given,

Diameter = 16 feet

So, radius = 16 feet/2 = 8 feet

Circumference = 2πr

So, circumference of this circle

= 2πr

= 2 × 3.14 × 8 feet

= 3.14 × 16 feet

= 50.24 feet

b.

Given,

Diameter = 16 feet

So, radius = 16 feet/2 = 8 feet

Area = πr²

So, area of this circle

= 3.14 × (8 feet)²

= 3.14 × 64 feet²

= 200.96 feet²

Answer:

Done

Step-by-step explanation:

Area - 201.06192983

Circumference - 50.2654824574

Answer:

Option A is correct

Step-by-step explanation:

6 feet 2 inches = 74 inches

74 inches = [tex]6 \frac{1}{6} [/tex]feet.

First one : y=1/3x+4.32

Second one: y=3x-2

Explanation:  try Desmos. its a magical machine

Answer:

see explanation

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (5, 6) and (x₂, y₂ ) = (- 1, 4)

m = [tex]\frac{4-6}{-1-5}[/tex] = [tex]\frac{-2}{-6}[/tex] = [tex]\frac{1}{3}[/tex] , then

y = [tex]\frac{1}{3}[/tex] x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (- 1, 4 ) , then

4 = - [tex]\frac{1}{3}[/tex] + c ⇒ c = [tex]\frac{12}{3}[/tex] + [tex]\frac{1}{3}[/tex] = [tex]\frac{13}{3}[/tex]

y = [tex]\frac{1}{3}[/tex] x + [tex]\frac{13}{3}[/tex] ← equation of line

-----------------------------------------------------------------------

The equation of a line in point- slope form is

y - b = m(x - a)

m is the slope and (a, b) a point on the line

Here m = 3 and (a, b) = (- 2, 0 ) , then

y - 0 = 3(x - (- 2) ) , that is

y = 3(x + 2)

y = 3x + 6 ← equation of line

Answer:

original: 2x4

scale factor: 8

new dimensions:

2x8=16

4x8=32

(To get the new dimensions all you have to do is multiply the sides by the scale factor)

Step-by-step explanation:

The new dimensions of the photograph is [tex]64 \ in^{2}[/tex]

The scale factor is a measure for similar figures, who look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii. The scale factor states the scale by which a figure is bigger or smaller than the original figure.

According to the question

[tex]S_{1} =2\times4=8[/tex]

[tex]S_{2} =8S_{1} =8\times8=64[/tex]

The new dimensions of the photograph is [tex]64 \ in^{2}[/tex]

Find out more information about scale factor here

https://brainly.com/question/2839518

#SPJ2

Answer:

I don't know if you have any questions or need any further information please contact me at the sun with the sun with the sun with the sun

Answer:

Blank1: (-1/10)

Blank2: 1

Blank3: 5

Step-by-step explanation:

First we can see that numerator is equal to 1 in the last equation, so the second missing value is 1. Looking at the middle equation we can differ that the denominator is 10. This means the missing number in the third equation is equal to ten, so a*2=10, where the answer "a" is the missing value. Solve the equation by dividing both sides by 2 leaving a=5. Final step is to make 1/5+b=1/10, where ''b" is the answer for the first blank. Solve the equation by subtracting (1/5) from (1/10) leaving b=(-1/10)

Answer:

-17

Step-by-step explanation:

x - (-z)

Subtracting a negative is like adding

x+z

x = -4 and z = -13

-4 + -13

-17

Answer:

[tex]-17[/tex]

Step-by-step explanation:

Step 1:  Evaluate the expression

[tex]x - (-z)[/tex]

[tex]-4 - (-(-13))[/tex]

[tex]-4 - (13)[/tex]

[tex]-4 - 13[/tex]

[tex]-17[/tex]

Answer:  [tex]-17[/tex]

So studying the sequence you could see that 4multiplying itself gives 16 and 5 by itself 25 , 6 by itself 36 , 7by itself 49 so by all means the next will be 8 by itself which is 64

Answer:

Hello,

Step-by-step explanation:

16=(1+3)²

25=(2+3)²

36=(3+3)²

49=(4+3)²

[tex]u_n=(n+3)^2\\[/tex]

4(x-8) = 4x-4*8

= 4x - 32

Answer:

4(x-8) = 4x-4*8

= 4x - 32

Step-by-step explanation:

Answer:

3+b=c

Step-by-step explanation:

Answer:

3+b=c

Step-by-step explanation:

Answer:

Answer is B

just do your work and proof the work and that will give u the right answer

Answer:

it is B

Step-by-step explanation:

it is just B man, trust

Answer:

0.3 miles above the ground

Answer: Grandstand: 360, General Admission: 230

Step-by-step explanation:

Use any variable you like but:

You know:

5 Grandstand tickets and 3 general admission tickets is 2490:

The price of 6 grandstand (g) tickets and 6 general admission tickets (a) is 3540

You want to find out: What is the price of each ticket. To do this either use substitution or elimination.

I will demonstrate elimination:

To do elimination, you want to cancel out one variable. This means you want to multiply each side of the equation by a number. I see  3a and 6a. This means multiply by -2. Again, you want to eliminate the variable.

Now, add the two equations together: Notice how you can line them up vertically to see how they can add together.

Now you can solve for the g (grandstand tickets):

You now know grand stand tickets cost 360. Take one of your original equations and solve for a (general admission tickets). To double check your work, they should satisfy both equations.

Therefore general admission tickets cost 230, and grandstand tickets cost 360!

Answer:

6 pi

Step-by-step explanation:

The arc length is 1/2 of the circumference

C = pi * d

So the arc length is 1/2 C

arc length= 1/2 ( pi *d)

                = 1/2 pi(12)

                = 6 pi

Answer:https://www.khanacademy.org/math/cc-seventh-grade-math/cc-7th-geometry/cc-7th-scale-drawings/v/scale-drawing-example-2

Step-by-step explanation:

this with help

Answer:

0

Step-by-step explanation:

99

Answer:

probably first one but i might be wrong

Step-by-step explanation:

if it has line under its filled circle and the direction the point is facing is where line goes

Answer:

1

Step-by-step explanation:

Answer:

75 miles miles an hour. (First one)

5 mph for the second one.

Step by Step:

1800%2F3 = u + v   (1)  is the equation for the flight with the wind.

                     (Here "u" is the airspeed of the airplane with NO wind,

                           "v" is the wind speed)

1800%2F4 = u - v   (2)  is the equation for the flight against the wind.

Simplify equations (1) and (2) and write them as a system:

u + v = 600,           (1')

u - v = 450.           (2')

Now add the two equations (1') and (2'). You will get

2u = 1050  --->  u = 1050%2F2 = 525 miles per hour.

Having this, you can easily determine "v" from (1'):  

v = 600 - 525 = 75 miles per hour.

-----------------------------

Second one will be 15 divided by 3 = 5mph

Answer:

look at the picuture

Step-by-step explanation:

Answer:

1:7

Step-by-step explanation:

The number of possible outcomes is 2*2*2 = 8

The number of ways of getting 3 tails is 1

The odds against - the ratio of the number of ways that an outcome cannot occur compared to in how many ways it can occur.

ways it can occur -1

ways it cannot occur - 8-1 = 7

1:7

Answer:

12 ounces

Step-by-step explanation:

[tex]3 \div 4 \\ = 0.75 [/tex]

[tex]0.75 \times 16 \\ = 12[/tex]

Answer:

12 ounces

Step-by-step explanation: