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3 years ago

12

the equation d= 2/5 t describes the distance d, in yards, an object travels in t minutes. How long does it take the object to tr

avel 1 4/5 yards?

1 answer:

uranmaximum [27]3 years ago

4 0

Answer:

t = 4.5

Step-by-step explanation:

1.8 = 0.4(t) solve for t

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Venn diagram ( attached image )

alexandr402 [8]

Assessing the given Venn diagram and the data related to it, we can answer the required question:

Q1. How many people were surveyed = 86.

Q2. What is the probability that a customer chosen at random:

a) takes salt P(S) = 46/85.

b) takes both salt and vinegar P(S ∩ V) = 13/85.

c) takes salt or vinegar or both P(S ∪ V) = 66/85.

The number of people who take salt chips n(S) = 46.

The number of people who take vinegar chips n(V) = 33.

The number of people who takes both n(S ∩ V) = 13.

The number of people who take neither n((S ∪ V)') = 19.

Therefore, the total number of people surveyed n(U) = n(S) + n(V) - n(S ∩ V) + n((S ∪ V)') = 46 + 33 - 13 + 19 = 85.

The number of people who takes salt or vinegar or both n(S ∪ V) = n(U) - n((S ∪ V)') = 85 - 19 = 66.

The probability that a customer chosen at random takes salt P(S) = n(S)/n(U) = 46/85.

The probability that a customer chosen at random takes both salt and vinegar P(S ∩ V) = n(S ∩ V)/n(U) = 13/85.

The probability that a customer chosen at random takes salt or vinegar or both P(S ∪ V) = n(S ∪ V)/n(U) = 66/85.

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7 0

2 years ago

Select the correct answer from each drop-down menu. if f(x)=x^2+2x-3 and g(x)=x^2-9, find (f/g)(4) and (f+g)(4).

Nataly_w [17]

Answer:

(f/g)(4) = 3

(f + g)(4) = 28

Step-by-step explanation:

(f/g) = $\frac{x^2+2x-3}{x^2-9}$

(f + g) = $2x^2 + 2x -12$

Simply plug in 4 for x in both equations to find you answer!

3 0

3 years ago

Stela's piano lesson starts at 4:30. The lesson is 50 minutes long. When does her lesson end?

Lorico [155]

The answer is at 5:20

7 0

3 years ago

Read 2 more answers

calvin and 4 of his friends want to share 4 pounds of nuts equally.write an expression to show the fraction of the nuts each fri

PilotLPTM [1.2K]

4/5

The 4 is how many pounds of nuts there are and dividing by 5 shows that you are sharing the nuts equally amongst the 5 friends.

5 0

3 years ago

What is the inverse of this function? f(x)=-1/2 square root of x+3, x > -3

yuradex [85]

The inverse function of $f(x) = -\frac 12\sqrt{x + 3}$ is $f^{-1}(x) = 4x^2- 3$

<h3>How to determine the inverse function?</h3>

The function is given as:

$f(x) = -\frac 12\sqrt{x + 3}$

Rewrite as;

$y = -\frac 12\sqrt{x + 3}$

Swap the positions of x and y

$x = -\frac 12\sqrt{y + 3}$

Multiply through by -2

$-2x = \sqrt{y + 3}$

Square both sides

4x^2 = y + 3

Subtract 3 from both sides

y = 4x^2 - 3

Express as an inverse function

$f^{-1}(x) = 4x^2- 3$

Hence, the inverse function of $f(x) = -\frac 12\sqrt{x + 3}$ is $f^{-1}(x) = 4x^2- 3$

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3 0

2 years ago