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3 years ago

What is 2 with an exponent of negative 2 equal to?

Mathematics

2 answers:

balu736 [363]3 years ago

6 0

Answer:

So since we have 2^-2 We can do 1/2^2 = 0.25

So if you have y^-x = 1/y^x

horrorfan [7]3 years ago

5 0

Answer:

1/4

Step-by-step explanation:

negative exponent rule says a ⁻ⁿ = 1/ aⁿ so:

2⁻² =1/2² = 1/4

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Find the volume of a cylinder with radius 5.7cm and height 10 cm, correct to 1 decimal place

Veseljchak [2.6K]

$\textit{volume of a cylinder}\\\\ V=\pi r^2 h~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=5.7\\ h=10 \end{cases}\implies \begin{array}{llll} V=\pi (5.7)^2(10)\implies V=324.9\pi \\\\\\ V\approx 1020.7 \end{array}$

8 0

2 years ago

kayden paddled a canoe to an island. the island is 8 miles from the shore. his trip to the island took two hours while paddling

Andrew [12]

Answer:

$2\text{ mph}$

Step-by-step explanation:

GIVEN: kayden paddled a canoe to an island. the island is $8$ miles from the shore. his trip to the island took two hours while paddling against the current. he paddles $6$ mph with no current.

TO FIND: what was the speed of the current.

SOLUTION:

distance of island from the shore $=8$ miles

total time taken by Kayden $=2$ hours

speed of Kayden in still water $=6\text{ mph}$

Let the speed of current be $x$

Speed of Kayden against current $=6-x\text{ mph}$

As,

$\text{Time}=\frac{\text{Distance}}{\text{speed}}$

$2=\frac{8}{6-x}$

$12-2x=8$

$x=2\text{ mph}$

Hence speed of current is $2\text{ mph}$

7 0

3 years ago

A random sample has been selected from a population. The point estimate = 78.65 and margin of error E = 8.24 for a 90% confidenc

fiasKO [112]

Answer:

90% confidence interval: (70.41,86.89)

Step-by-step explanation:

We are given the following in the question:

Point estimate = 78.65

Margin of error, E = 8.24

Confidence level = 90%

Significance level = 10%

Formula:

$\text{Point estimate} \pm \text{Margin of error}$

Putting the values, we get,

$z_{critical}\text{ at}~\alpha_{0.10} = \pm 1.64$

$78.65 \pm 8.24 = (70.41,86.89)$

(70.41,86.89) is the required 90% confidence interval.

5 0

3 years ago

A pizza parlor offers thin,thick,and traditional style pizza crust.You can get pepperoni,beef,mushrooms, olives,or peppers. You

WITCHER [35]

You need to understand the different kinds of categories in order to solve this problem.

There are:
types of crusts - 3
types of toppings - 5

You multiply these together (3 x 5)

Your answer should be 15

3 0

3 years ago

A rectangle was rearranged to form a parallelogram. How is the height of the parallelogram similar to and different from the wid

Daniel [21]

A parallelogram is just a rectangle with the sides angled, it’s pretty much the same as a rectangle and all your working out should be the same as a rectangle

5 0

3 years ago