What value of w that makes the equation true 2/3(w+3) = 7

faust18 [17]

$6.\\\text{We know}\ 9=3^2.\ \text{Therefore}\\\\9^2=(3^2)^2\\\\\text{use}\ (a^n)^m=a^{nm}\\\\9^2=(3^2)^2=3^{2\cdot2}=3^4\\\\\boxed{3^4=9^2}\\=================$

$7.\\METHOD\ 1:\\\\\sqrt{7^4}=\sqrt{7^{2\cdot2}}\\\\\text{use}\ (a^n)^m=a^{nm}\\\\=\sqrt{(7^2)^2}\\\\\text{use}\ \sqrt{a^2}=a\ \text{for}\ a\geq0\\\\=\boxed{7^2}\\\\METHOD\ 2:\\\\\text{use}\ a^\frac{m}{n}=\sqrt[n]{a^m}\\\\\sqrt{7^4}=7^\frac{4}{2}=\boxed{7^2}\\=================$

$8.\\5^a\times5^b=5^{11}\\\\a)\\\text{use}\ a^n\times a^m=a^{n+m}\\\\5^a\times5^b=5^{a+b}\\\\5^{a+b}=5^{11}\Rightarrow a+b=11\\\\11\ \text{is odd. The sum of even and odd is odd. Therefore}\ a\ \text{and}\ b\ \text{can't be even.}\\--------------------\\\\b)\\5\ \text{solutions}\\\\11=5+6\\11=4+7\\11=3+8\\11=2+9\\11=1+10$

3 0

2 years ago

HEEEEEEEEEEEEEEEEEEEEEEEELPPPPPPPPPPPPPP

Rasek [7]

Answer:
slope = -9/2

Explanation:
The form of the slope-intercept equation is:
y = mx + c
where:
m is the slope
c is the y-intercept

The given is:
y = -9/2 x

Comparing the given with the general form, we will find that:
m is the slope = -9/2
c is the y-intercept = 0

Hope this helps :)
y = -9/2

7 0

2 years ago

Read 2 more answers

Give to examples of units that can be used on a graph

lbvjy [14]

<u>Metric: </u>

Distance: Centimeters (cm), Meters (m), Kilometers (km)

Weight: Milligrams (mg), Grams (g), Kilograms (kg)

Volume: Milliliters (mL), Liters (L)

<u>Customary: </u>

Distance: Inches (in), Feet (ft), Yards (yd), Miles (mi)

Weight: Ounces (oz), Pounds (lbs), Tons (T)

Volume: Cups (c), Pints (pt), Quarts (qt), Gallons (gal)

3 0

2 years ago

How to write 0.063 in scientific notation?

alexira [117]

6.3*10^(-2),

one digit only, then digits ...

3 0

2 years ago

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The standard deviation for actuary salaries has a standard deviation of $36,730 . You collect a simple random sample of n=36 sal

Yanka [14]

Using the z-distribution, it is found that the lower limit of the 95% confidence interval is of $99,002.

<h3>What is a z-distribution confidence interval?</h3>

The confidence interval is:

$\overline{x} \pm z\frac{\sigma}{\sqrt{n}}$

In which:

$\overline{x}$ is the sample mean.

z is the critical value.

n is the sample size.

$\sigma$ is the standard deviation for the population.

In this problem, we have a 95% confidence level, hence $\alpha = 0.95$ , z is the value of Z that has a p-value of $\frac{1+0.95}{2} = 0.975$ , so the critical value is z = 1.96.

The other parameters are given as follows:

$\overline{x} = 111000, \sigma = 36730, n = 36$

Hence, the lower bound of the interval is:

$\overline{x} - z\frac{\sigma}{\sqrt{n}} = 111000 - 1.96\frac{36730}{\sqrt{36}} = 99002$

The lower limit of the 95% confidence interval is of $99,002.

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

8 0

1 year ago