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3 years ago

Simplify the expression by combining like terms. 6xy - 2y + 8y + 7xy + 5xy

1 answer:

5 0

First, connect the numbers with the same variables. -2y + 8y = 6y. Now 6xy + 7xy + 5xy = 18xy. Final answer is 6y + 18xy.

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What is the volume of a hemisphere with a radius of 5.7 m, rounded to the nearest

Sindrei [870]

Answer: 387.9 m

Step-by-step explanation:

Volume of a Sphere:

V=\frac{4}{3}\pi r^3

πr

\text{radius} = 5.7

radius=5.7

meters

\text{Plug in:}

Plug in:

\frac{4}{3}\pi (5.7)^3

π(5.7)

775.734624395

Use calculator

\text{Volume of Hemisphere HALF of Volume of Sphere:}

Volume of Hemisphere HALF of Volume of Sphere:

\frac{775.734624395}{2}

775.734624395

Divide volume by 2

387.867312198

\approx 387.9\text{ m}^3

≈387.9 m

6 0

3 years ago

QUESTION 39.1 POINT

Levart [38]

Answer:

The Z-score when x = 76 is of -0.125, which tells you that x = 76 is 0.125 standard deviations to the left of the mean.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

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

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

X ~ N(77,8).

This means that $\mu = 77, \sigma = 8$

Z-score when X = 76:

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

$Z = \frac{76 - 77}{8}$

$Z = -0.125$

Negative means that its to the left of the mean.

The Z-score when x = 76 is of -0.125, which tells you that x = 76 is 0.125 standard deviations to the left of the mean.

3 0

3 years ago

Your friend invites you to go inline skating at Munson state park. you'd like to go but since you don't have skates or a helmet

Kaylis [27]

C=hx+sx+d

It's basically a spinoff of the y=mx+b formula except there are two x's in case you don't know exactly how many to buy or else you'd literally just add them all together. I hope this helps and gives you a better idea on how to solve it.

3 0

4 years ago

The table below contains values for a linear relationship. One value from the table is missing.

kifflom [539]

The missing value is -3.

Step-by-step explanation:

Step 1; First, we need to determine the equation relating the x to the y values in the table. y is the dependent value whereas x is the independent value i.e. the value of y depends on the value of x.

Step 2; If we multiply the value of x with -2 and add the resulting answer with 1 we get the value of y.

y = -2x + 1 is the equation that relates the values in the table.

Step 3; Now we substitute the values in the equation

For x = 3, y = -2(3) + 1 = -6 + 1 = -5,

For x = -1, y = -2(-1) + 1 = 2 + 1 = 3,

For x = 0, y = -2(0) + 1 = 0 + 1 = 1,

For x = 2, y = -2(2) + 1 = -4 + 1 = -3,

For x = 4, y = -2(4) + 1 = -8 + 1 = -7,

For x = 7, y = -2(7) + 1 = -14 + 1 = -13.

So the value of y when x = 2 is -3.

8 0

4 years ago

Which expression is equivalent to 8 x minus 12 y + 32?

ioda

Answer:

4(2x-3y+8)

Step-by-step explanation:

8x-12y+32

4(2x-3y+8)

3 0

3 years ago

Read 2 more answers