What number raised to the -2 exponent would equal 1/4?

8-10-((-2) +(-5) - 3-(-4))

Ket [755]

Answer:

$8 - 10 - (( - 2) + ( - 5) - 3 - ( - 4))$

$8 - 10 - ( - 2 - 5 - 3 + 4)$

$8 - 10 - ( - 10 + 4)$

$8 - 10 - ( - 6)$

$8 - 10 + 6$

$14 - 10$

$4$

Hope it helps you :)

3 0

2 years ago

You withdraw $40 each month from your savings account. Write an expression and evaluate that represents the change in your balan

RUDIKE [14]

I'm not sure I understand the question thoroughly but I'll try...

Let's make "x" the amount in the account.

$40 * 4 = $160.

After four months: x - $160

3 0

4 years ago

Hurry and respond with how you got it!

Sergeeva-Olga [200]

a = 6.2

Solution:

Given ABC is triangle.

AC = b = 8, BA = c = 11, ∠A = 32.2°

BC = a

To find the length of a:

Law of cosines:

$a^{2}=b^{2}+c^{2}-2 b c \cdot \cos A$

$a^{2}=8^2+11^{2}-2 \times 8 \times 11 \cdot \cos 32.2^\circ$

$a^{2}=64+121-174 \cdot \cos 32.2^\circ$

$a^{2}=185-174 (0.8461)$

$a^{2}=185-147.221$

$a^{2}=37.779$

Taking square root on both sides of the equation.

a = 6.1464

a = 6.2

The length of BC is 6.2.

5 0

3 years ago

Flori’s Flower shop contains fewer than 150 flowers. All the flowers are purple, yellow, red or white. The ratio of purple flowe

alexgriva [62]

Flori's Flower Shop have 48 white flowers, 40 red flowers, 30 yellow flowers and 15 purple flowers, whose sum equals 133 flowers, which is fewer than 150 flowers.

<h3>How to determine the quantity of flowers in a flower shop</h3>

Flori's Flower shop owns a quantity less than 150 flowers, in which there are four kinds of flowers according to color: (purple - p, yellow - y, red - r, white - w), each variable represents positive integers. Now we proceed to construct the system of equation that describes the situation:

z < 150 (1)

p + y + r + w = z (2)

p = y/2 (3)

y = 3 · r/4 (4)

r = 5 · w/6 (5)

By (1) and (3) in (2):

y/2 + y + r + w < 150

By (4):

3 · y/2 + r + w < 150

9 · r/8 + r + w < 150

17 · r/8 + w < 150

By (5):

85 · w/48 + w < 150

133 · w/48 < 150

133 · w < 7200

w < 54.135

Now we assume that w = 48, then we have the following solution for the flower shop: r = 40, y = 30, p = 15.

Flori's Flower Shop have 48 white flowers, 40 red flowers, 30 yellow flowers and 15 purple flowers, whose sum equals 133 flowers, which is fewer than 150 flowers. $\blacksquare$

To learn more on inequalities, we kindly invite to check this verified question: brainly.com/question/20383699

3 0

2 years ago

How many possible passwords can be made for a website that requires passwords to consist of 3 digits followed by 2 letters? (Not

Sedaia [141]

Answer is 676,000 possible passwords

xxx##

There are 10 possibilities for each digit placed and 26 possibilities for each letter placed.

10x10x10x26x26 = 676,000

7 0

3 years ago

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