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2 years ago

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PLEASE HELP WILL MARK BRAINLYST IF CORRECT Explain how to use the orders of operation to simplify the following expression. [– 4

+ (6– 3)*8] −10

1 answer:

Gekata [30.6K]2 years ago

4 0

First do the the parenthesis: (6-3) = 3

Now you have [-4 + 3 * 8] -10

Next do multiplication: 3 *8 = 24

Now you have [-4 + 24]-10

Now do what is in brackets: -4 + 24 = 20

Now you have 20-10

Subtract 20-10 = 10

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Factoring Trinomals (a=1)<br>b^2 + 8b + 7

yulyashka [42]

$b^2+8b+7=b^2+b+7b+7=b(b+1)+7(b+1)\\\\=\boxed{(b+1)(b+7)}$

4 0

3 years ago

Each of the four sides of a swimming pool measures 12 m the pool is 6 m deep how much water will be needed to fill completely

Alex_Xolod [135]

The amount of water needed to fill the swimming pool completely is 864 cubic meters.

Given that each of the four sides of a swimming pool measures 12 m the pool is 6 m deep.

"Volume" is a mathematical quantity that indicates the amount of three-dimensional space occupied by an object or surrounding surface. Volume units are cubic units like m³, cm³, in³, etc.

As we know, the swimming pool is in cubic shape.

So, we will find the volume of cube using the formula V=l×b×h.

Here, l=12m, b=12m and h=m.

Now, we want to substitute the values in the formula, we get

V=12m×12m×6m

V=864m³

Hence, the amount of water needed to fill completely the swimming pool whose each of the four sides of a swimming pool measures 12 m the pool is 6 m deep is 864 cubic meters.

Learn more about the volume of cube from here brainly.com/question/1972490

#SPJ9

4 0

1 year ago

A personnel director in a particular state claims that the mean annual income is the same in one of the state's counties (Coun

Shalnov [3]

Answer:

a) The hypothesis that the mean annual income is the same could not be rejected. There is no enough evidence to claim they are different.

b) The critical values for this two-sided test are t=±1.711.

Step-by-step explanation:

<em>The question is incomplete:</em>

<em>(a) Identify the claim and state H0 and Ha. </em>

<em> Which is the correct claim below?</em>

<em>(b) Find the critical value(s) and identify the rejection region(s). </em>

<em> Enter the critical value(s) below.</em>

We have an hypothesis test on the difference of two means.

The null and alternative hypothesis are:

$H_0: \mu_a-\mu_b=0\\\\H_a: \mu_a-\mu_b\neq 0$

The claim of the alternative hypothesis is that the mean annual income is different in County A and County B.

The null hypothesis is that the mean annual income is equal in both counties.

The significance level is α=0.10.

The sample from County A has a mean of S40,400, a s.d. of $8,700 and a sample size of 18 residents.

The sample from County B has a mean of S39,200, a s.d. of $6,000 and a sample size of 8 residents.

The standard error of the difference of means is:

$\sigma_d=\sqrt{\frac{\sigma_a^2}{n_a}+\frac{\sigma_b^2}{n_b}}=\sqrt{\frac{8700^2}{18}+\frac{6000^2}{8}}=\sqrt{8705000}=2950$

The degrees of freedom are:

$df=n_a+n_b-2=18+8-2=24$

Then, the test statistic is:

$t=\frac{\Delta M-\Delta \mu}{\sigma_d} =\frac{(40,400-39,200)-0}{2950} =\frac{1200}{2950}=0.407$

For a statistic t=0.407, and df=24, the P-value is P=0.69. As the P-value is bigger than the significance level, the null hypothesis failed to be rejected.

If we would use the critial value approach, we would have to calculate the critical values for t, for df=24, two sided test and α=0.10.

The critical values, looking in a table, are t=1.711.

5 0

2 years ago

good evening! Can someone please answer this, ill give you brainliest and your earning 50 points. Would be very appreciated.

Sphinxa [80]

Answer:

<h3><u>Part (a)</u></h3>

From inspection of the diagram, the pattern is:

Step 1: 1² + 1

Step 2: 2² + 2

Step 3: 3² + 3

Let x = step number

Let y = total number of squares

Therefore, the equation that represents the relationship is:

y = x² + x

<h3><u>Part (b)</u></h3>

<u />

x² relates to the large square made up of small squares (top part of the image of each step)

x relates to the rectangle of small squares (bottom part of the image of each step)

y is the total number of small squares in the image of each step.

4 0

1 year ago

Read 2 more answers

what is the length of a hypotenuse triangle with two 45 degree angles, one 90 degree angle, and two side lengths of 3 times the

nordsb [41]

Answer:

4.24

Step-by-step explanation:

remember a² + b² = c²

(3*(sqrt(2))² + (3*(sqrt(2))² = 18

this would be c²

square root of this is c = 4.2426...

4 0

3 years ago