Ask question

Ask question

All categories

2 years ago

11

Which exponent makes the statement true?

1 answer:

almond37 [142]2 years ago

8 0

Definition of negative exponent:

$a^{-n} = \dfrac{1}{a^n}$

Following the definition, we have:

$\dfrac{1}{5^9} = 5^{-9}$

Answer: -9

You might be interested in

Which is the slope of the line that passes through the points (2, 8) and (4, 6)?

kotegsom [21]

Slope: (y2-y1)/(x2-x1)
(6-8)/(4-2) = -2/2 = -1
The slope is -1

6 0

2 years ago

Read 2 more answers

Find M of angle ABC

pochemuha

Answer:

25

Step-by-step explanation:

$\sf Answer \begin{cases}\sf \rightarrowtail \:( 3x - 6) + (2x + 25) + (x + 11) = 180 \\ \sf \rightarrowtail \: 3x - 6 + 2x + 25 + x + 11 = 180 \\ \sf \rightarrowtail \: 3x + 2x + x - 6 + 25 + 11 = 180 \\ \sf \rightarrowtail \: 6x + 30 = 180 \\ \sf \rightarrowtail \: 6x = 180 - 30 \\ \sf \rightarrowtail \: 6x = 150 \\ \sf \rightarrowtail \: x = \frac{150}{6} \\ \sf \rightarrowtail \: x = 25\end{cases}$

5 0

2 years ago

Which of the following statements has the same truth value as the statement "If it is Friday, then Bruce has beans for supper."?

german

<span>If Bruce does not have beans for supper, then it is not Friday.</span>

6 0

3 years ago

A) Find the distance of line segment PR. Round answer to the nearest tenth. B) Find the distance around the park (perimeter).

juin [17]

Answer:

A. $PR = 80.6 yd$

B. Perimeter = 190.6 yd

Step-by-step explanation:

A. Distance between P(10, 50) and R(80, 10):

$PR = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

$PR = \sqrt{(80 - 10)^2 + (10 - 50)^2}$

$PR = \sqrt{(70)^2 + (-40)^2}$

$PR = \sqrt{4,900 + 1,600}$

$PR = \sqrt{6,500}$

$PR = 80.6 yd$ (nearest tenth)

B. Distance around the park = Perimeter = PR + PQ + QR

PR = 80.6 yd

PQ = |50 - 10| = 40 yd

QR = |80 - 10| = 70 yd

Perimeter = 80.6 + 40 + 70

Perimeter = 190.6 yd

7 0

2 years ago

How to find the surface area

Stolb23 [73]

Answer:

158 in²

Step-by-step explanation:

<u>Surface area</u>

A = 2·(l·w + l·h + w·h)

= 2·(3in·8in + 8in·5in + 3in·5in)

= 2·(24in² + 40in² + 15in²)

= 2·(79in²)

= 158 in²

al3xis

8 0

3 years ago