The table shows the ratio of caramel corn to cheddar corn in a bag. What is the constant of proportionality?

Lindbergh's Air Speed Charles Lindbergh estimated that at the start of his historic flight the practical economical air speed wa

Strike441 [17]

The function based on the information will be S = -0.005D + 95.

<h3>How to illustrate the function?</h3>

It should be noted that d is the distance from the starting point while S is the speed.

The points given are (0 95)( 4000, 75).

Slope = (75 - 95)(4000 - 0)

= 0.005

The equation will be:

S = -0.005D + 95

Learn more about functions on:

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6 0

1 year ago

What is the relationship between the slopes of two parallel lines?

artcher [175]

Answer:

C

Step-by-step explanation:

Parallel line slopes are always the same.

5 0

2 years ago

Read 2 more answers

A pyramid has a square base of length 8cm and a total surface area of 144cm². Find the volume of the pyramid. (Please use Pythag

Sveta_85 [38]

Answer:

$\displaystyle V_{ \text{pyramid}}= 64 \: {cm}^{3}$

Step-by-step explanation:

we are given surface area and the length of the square base

we want to figure out the Volume

to do so

we need to figure out slant length first

recall the formula of surface area

$\displaystyle A_{\text{surface}}=B+\dfrac{1}{2}\times P \times s$

where B stands for Base area

and P for Base Parimeter

so

$\sf\displaystyle \: 144=(8 \times 8)+\dfrac{1}{2}\times (8 \times 4) \times s$

now we need our algebraic skills to figure out s

simplify parentheses:

$\sf\displaystyle \: 64+\dfrac{1}{2}\times32\times s = 144$

reduce fraction:

$\sf\displaystyle \: 64+\dfrac{1}{ \cancel{ \: 2}}\times \cancel{32} \: ^{16} \times s = 144 \\ 64 + 16 \times s = 144$

simplify multiplication:

$\displaystyle \: 16s + 64 = 144$

cancel 64 from both sides;

$\displaystyle \: 16s = 80$

divide both sides by 16:

$\displaystyle \: \therefore \: s = 5$

now we'll use Pythagoras theorem to figure out height

according to the theorem

$\displaystyle \: {h}^{2} + (\frac{l}{2} {)}^{2} = {s}^{2}$

substitute the value of l and s:

$\displaystyle \: {h}^{2} + (\frac{8}{2} {)}^{2} = {5}^{2}$

simplify parentheses:

$\displaystyle \: {h}^{2} + (4 {)}^{2} = {5}^{2}$

simplify squares:

$\displaystyle \: {h}^{2} + 16 = 25$

cancel 16 from both sides:

$\displaystyle \: {h}^{2} = 9$

square root both sides:

$\displaystyle \: \therefore \: {h}^{} = 3$

recall the formula of a square pyramid

$\displaystyle V_{pyramid}=\dfrac{1}{3}\times A\times h$

where A stands for Base area (l²)

substitute the value of h and l:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times \{8 \times 8 \}\times 3$

simplify multiplication:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{3}\times 64\times 3$

reduce fraction:

$\sf\displaystyle V_{ \text{pyramid}}=\dfrac{1}{ \cancel{ 3 \: }}\times 64\times \cancel{ \: 3}$

hence,

$\sf\displaystyle V_{ \text{pyramid}}= 64 \: {cm}^{3}$

8 0

2 years ago

Select the graph of the solution. Click until the correct graph appears.<br> x ≥ 4

Mkey [24]

I think the correct answer from the choices listed above would be the second graph. The given inequality is given as x is greater than or equal to 4. So, the graph should include the value 4 then to the right of 4 in the number line. Hope this answers the question.

7 0

2 years ago

Read 2 more answers

The volume of Cylinder A is 189 ft and the

andrezito [222]

Answer:

27:8

Step-by-step explanation:

189/56 = 27/8

6 0

2 years ago