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3 years ago

Find the area of the figure by subtraction.

Mathematics

1 answer:

Grace [21]3 years ago

5 0

I guess the only way to use subtraction is to take the total area of the grid and subtract it by the total area around the figure. So it since it is a 10 by 10 grid, it would be 100 (since 10*10=100) minus the area around the shape.

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Match each power of a power expression with its simplified expression.

VARVARA [1.3K]

Answer:

> $(4^6)^{-3}$ = $\frac{1}{4 ^ {18}}$

> $(4^{-3})^{-3}$ = $4 ^ 9$

> $(4^0)^{-9}$ = $4 ^0$

> $(-4^{-9})^2$ = $(-4) ^ {-18}$

Step-by-step explanation:

We have to expand the powers of each of them:

> $(4^6)^{-3}$ = $4^{(6 * -3)}$

= $4 ^ {-18}$

$(4^6)^{-3}$ = $\frac{1}{4 ^ {18}}$

> $(4^{-3})^{-3}$ = $4 ^ {(-3 * -3)}$

$(4^{-3})^{-3}$ = $4 ^ 9$

> $(4^0)^{-9}$ = $4 ^ {(0 * -9)}$

$(4^0)^{-9}$ = $4 ^0$

> $(-4^{-9})^2$ = $-4 ^ {( -9 * 2)}$

$(-4^{-9})^2$ = $-4 ^ {-18}$

8 0

3 years ago

Read 2 more answers

Water flows down the Mississippi River at about 1.2 miles per hour

Angelina_Jolie [31]

Answer:

Continuous

Step-by-step explanation:

The rate of flow of water down the river is referred to as its speed. Thus the speed changes with respect to the distance covered. Which implies that there is a direct relationship between the distance covered (in miles) by the water flow and time taken (in hours).

The relationship between hours and miles the water traveled is continuous.

6 0

2 years ago

if Paula wants the tops of the latter to reach exactly 8 feet up the building, what is x, the distance between the building and

cluponka [151]

Answer:

6 ft

Step-by-step explanation:

Since the distance between the bottom of the ladder and the wall forms a right angle that is across from the ladder, you can use the Pythagorean Theorem to solve for the value of 'x':

a² + b² = c², where 'a' and 'b' are the legs of the triangle and 'c' is the diagonal or hypotenuse.

Using 8 for 'a' and 10 for 'c':

8² + x² = 10²

64 + x² = 100

Subtract 64 from both sides:

64 - 64 + x² = 100 - 64 or x² = 36

Take the square root of both sides:

√x² = √36

x = 6 ft

5 0

3 years ago

If 15 baseballs weighs 75 ounces how many baseballs with 15 ounces

igor_vitrenko [27]

Answer:

Step-by-step explanation:

75/15=5

Bam

5 0

3 years ago

Monitors manufactured by TSI Electronics have life spans that have a normal distribution with a variance of 4,000,000 and a mean

In-s [12.5K]

Using the normal distribution, it is found that there is a 0.2776 = 27.76% probability that the life span of the monitor will be more than 20,179 hours.

<h3>Normal Probability Distribution</h3>

The z-score of a measure X of a normally distributed variable with mean $\mu$ and standard deviation $\sigma$ is given by:

$Z = \frac{X - \mu}{\sigma}$

The z-score measures how many standard deviations the measure is above or below the mean.

Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.

The mean and the standard deviation are given, respectively, by:

$\mu = 19000, \sigma = \sqrt{4000000} = 2000$

The probability that the life span of the monitor will be more than 20,179 hours is <u>one subtracted by the p-value of Z when X = 20179</u>, hence:

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{20179 - 19000}{2000}$

Z = 0.59.

Z = 0.59 has a p-value of 0.7224.

1 - 0.7224 = 0.2776.

0.2776 = 27.76% probability that the life span of the monitor will be more than 20,179 hours.

More can be learned about the normal distribution at brainly.com/question/24663213

#SPJ1

6 0

2 years ago