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Strike441 [17]
3 years ago
15

Simplify.

Mathematics
1 answer:
Hatshy [7]3 years ago
5 0
105 -3 1 (——— • ——) • — 10 10 2 <span>Step  2  :</span> 1 Divide -2 by — 2 <span>Equation at the end of step  2  :</span> 105 -3 (——— • ——) • -4 10 10 <span>Step  3  :</span> -3 Simplify —— 10 <span>Equation at the end of step  3  :</span> 105 -3 (——— • ——) • -4 10 10 <span>Step  4  :</span> 21 Simplify —— 2 <span>Equation at the end of step  4  :</span> 21 -3 (—— • ——) • -4 2 10 <span>Step  5  :</span>Final result : 63 —— = 12.60000 5 <span> 

hope this helps hope i am brainliest i need one more</span>
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22. Find the perimeter and area.
zmey [24]

Answer:

Part 22) The area is A=15a^3b^6\ units^2( and the perimeter is P=10a^2b^4+6ab^2\ unit

Part 24) The area is A=16m^3n\ units^2 and the perimeter is P=24mn\ units    

Part 26) The area is equal to A=9\pi x^6y^{2}\ units^2

Step-by-step explanation:

Part 22) Find the perimeter and area

step 1

The area of a rectangle is equal to

A=LW

we have

L=5(a^2)(b^4)\ units

W=3(a)(b^2)\ units

Remember that

When multiply exponents with the same base, adds the exponents and maintain the base

substitute in the formula

A=(5(a^2)(b^4))(3(a)(b^2))

A=15a^3b^6\ units^2

step 2

The perimeter of a rectangle is equal to

P=2(L+W)

we have

L=5(a^2)(b^4)\ units

W=3(a)(b^2)\ units  

substitute in the formula

P=2(5(a^2)(b^4)+3(a)(b^2))

P=10a^2b^4+6ab^2\ unit

Part 24) Find the perimeter and area

step 1

The area of triangle is equal to

A=\frac{1}{2}bh

where

b=8mn\ units

h=4m^2\ units

Remember that

When multiply exponents with the same base, adds the exponents and maintain the base

substitute the given values

A=\frac{1}{2}(8mn)(4m^2)

A=16m^3n\ units^2

step 2

Find the perimeter

I will assume that is an equilateral triangle (has three equal length sides)

The perimeter of an equilateral triangle is

P=3b

where

b=8mn\ units

substitute

P=3(8mn)

P=24mn\ units

Part 26) Find the area

The area of a circle is equal to

A=\pi r^{2}

where

r=3x^3y\ units

Remember the property

(a^{m})^{n}=a^{m*n}

substitute in the formula the given value

A=\pi (3x^3y)^{2}

A=9\pi x^6y^{2}\ units^2

6 0
3 years ago
Brainly do ur magic pls.?
jok3333 [9.3K]

1. 3y

multiplying 3 and y together gets 3y

2. y-5

5 less implies that we subtract 5 from y

3. y+7

adding 7 to y, self-explanatory

4. 9y

same thing as #1

5. \frac{y}{8}

quotient of implies division, since number y is listed first, y is the numerator

8 0
3 years ago
A researcher is conducting a study of charitable donations by surveying a simple random sample of households in a certain city.
nirvana33 [79]

Answer:

H0: p ≤ 0.50

Ha: p > 0.50

Step-by-step explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

For the case above;

Let p represent the proportion of households in the city that gave a charitable donation in the past year

The null hypothesis is that the proportion of households in the city that gave a charitable donation in the past year is not more that 0.50

H0: p ≤ 0.50

The alternative hypothesis is that the proportion of households in the city that gave a charitable donation in the past year is more that 0.50

Ha: p > 0.50

7 0
3 years ago
Rewrite the equation in slope-intercept form by solving for y. Find the slope and the y-intercept. 2x+y=2
Tanzania [10]

Answer:

y = 2x - 2

Step-by-step explanation:

2 x + y = 2

2x - 2 = y

8 0
3 years ago
A candidate for a US Representative seat from Indiana hires a polling firm to gauge her percentage of support among voters in he
mojhsa [17]

Answer:

(A) The minimum sample size required achieve the margin of error of 0.04 is 601.

(B) The minimum sample size required achieve a margin of error of 0.02 is 2401.

Step-by-step explanation:

Let us assume that the percentage of support for the candidate, among voters in her district, is 50%.

(A)

The margin of error, <em>MOE</em> = 0.04.

The formula for margin of error is:

MOE=z_{\alpha /2}\sqrt{\frac{p(1-p)}{n}}

The critical value of <em>z</em> for 95% confidence interval is: z_{\alpha/2}=1.96

Compute the minimum sample size required as follows:

MOE=z_{\alpha /2}\sqrt{\frac{p(1-p)}{n}}\\0.04=1.96\times \sqrt{\frac{0.50(1-0.50)}{n}}\\(\frac{0.04}{1.96})^{2} =\frac{0.50(1-0.50)}{n}\\n=600.25\approx 601

Thus, the minimum sample size required achieve the margin of error of 0.04 is 601.

(B)

The margin of error, <em>MOE</em> = 0.02.

The formula for margin of error is:

MOE=z_{\alpha /2}\sqrt{\frac{p(1-p)}{n}}

The critical value of <em>z</em> for 95% confidence interval is: z_{\alpha/2}=1.96

Compute the minimum sample size required as follows:

MOE=z_{\alpha /2}\sqrt{\frac{p(1-p)}{n}}\\0.02=1.96\times \sqrt{\frac{0.50(1-0.50)}{n}}\\(\frac{0.02}{1.96})^{2} =\frac{0.50(1-0.50)}{n}\\n=2401.00\approx 2401

Thus, the minimum sample size required achieve a margin of error of 0.02 is 2401.

8 0
3 years ago
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