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3 years ago

What is the value of 2/3^-4

Mathematics

1 answer:

Reptile [31]3 years ago

8 0

Answer:

$\frac{16}{49}$

Step-by-step explanation:

To solve problems like this, we need to multiply the base , $\frac{2}{3}$ , the amount of times as the exponent, 4.

Essentially, the equation is $\frac{2}{3}$ x $\frac{2}{3}$ x $\frac{2}{3}$ x $\frac{2}{3}$ .

The product would be $\frac{16}{49}$ .

Now we can't forget that the exponent is a negative. But because the exponent is an even number, we don't need to worry about that.

Hope this helped :)

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The food service manager conducted a random survey of students to determine their preference for new lunch menu items. Which of

gogolik [260]

Answer:

Inferences A, B and C are correct.

Complete question, data and inferences:

Item Number of students

Pizza 6

Salad Bar 27

Pita Sandwiches 13

Burritos 24

The food service manager conducted a random survey of students to determine their preference for new lunch menu items. Which of these inferences can be drawn from the manager’s data? Select all that apply.

A. About twice as many students prefer salad bar as compared to pita sandwiches.

B. About three-fourths of students prefer either salad bar or burritos.

C. About half as many students prefer pita sandwiches as compared to burritos.

D. Burritos are the most preferred item.

E. Twice as many students prefer pizza as compared to pita sandwiches.

Source:

Question that can be found at quizizz dot com. We can't copy and paste the exact URL because brainly will block it.

Step-by-step explanation:

A. About twice as many students prefer salad bar as compared to pita sandwiches. True. Two times 13 is 26 and the number of students that prefer Salad Bar is 27.

B. About three-fourths of students prefer either salad bar or burritos. True. 51 students are the 73% (about three-fourths of the students surveyed) of the total students surveyed, 70.

C. About half as many students prefer pita sandwiches as compared to burritos. True. 13 is almost the half of 24.

D. Burritos are the most preferred item. False. Salad Bar is the most preferred item.

E. Twice as many students prefer pizza as compared to pita sandwiches. False. It's the opposite actually; twice as many students prefer pita sandwiches as compared to pizza.

4 0

3 years ago

A country is planning to decrease government spending in order to reduce the national debt. If the outlined changes are put into

SOVA2 [1]

Answer

Graph D represents the national debt of the country over the next years.

Solution-

The country's debt will decrease exponentially by one-third each year.

Current debt is $60 billion.

This problem can be treated as an exponential decay problem.

The general exponential decay function is,

$y=a(r)^{-x}$

Where,

a = initial value,

r = rate of change,

-ve sign of x represents the decrease in value of y as x increases.

Here, the rate of change is 3 as each year the debt becomes on third, and initial value of debt is $60, so

$y=60(3)^{-x}$

Plotting a graph taking number of year on x-axis and debt on y-axis, we can generate a graph for this function.

Putting different values of x, we can get the values of y. So the graph must have (0, 60), (1, 20), (2, 6.66), (3, 2.22), (4, 0.74), (5, 0.24) points on it.

Option B and C are incorrect, as they do not start from 60. (they don't have (0,60) on their curve)

Between option A and D, curve in D has all the points on it. So D is the correct graph.

5 0

3 years ago

Read 2 more answers

Find f(2) if f(x) = (x + 1)2. 1. 9 2. 6 3. 5

kolezko [41]

Answer: f(2) = 6

Step-by-step explanation: In this problem, we are given the function

f (x) = (x + 1) 2 and we are asked to find f(2). In other words, if we put an "x" into our function, we get a (x + 1) 2 out.

f we put a 2 into the function, we get f(2) = (2 + 1) 2 out. Now all we have to do is simplify on the right side.

2 + 1 gives us 3 and if we multiply 3 by 2, we get a product of 6.

Therefore, f(2) is 6.

7 0

3 years ago

What is the area of this figure

solmaris [256]

Answer:

Step-by-step explanation:

3(3) = 9

15-3=12

12(9)= 108

7(9)=63

ans : 183

4 0

2 years ago

What is the solution of the system? {5x−y=−21x+y=−3 Enter your answer in the boxes. ( , )

Firdavs [7]

Answer:

(-4,1)

Step-by-step explanation:

im pretty sure that is the answer, i will finish the test and tell you if it is right in the comments i guess lol

3 0

2 years ago