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2 years ago

11

Umm pls help me ik how to do it but not sure on this specific one

1 answer:

Lapatulllka [165]2 years ago

8 0

9514 1404 393

Answer:

-8, +9

Step-by-step explanation:

You need factors of (6)(-12) = -72 that have a sum of +1.

From your knowledge of multiplication tables, you know that 72 = 8·9. Then -72 = (-8)(9), and those two factors have a sum of +1.

6x^2 +x -12

= 6x^2 +9x -8x -12

= 3x(2x +3) -4(2x +3)

= (3x -4)(2x +3)

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Find the missing side of this right<br> triangle.<br> Х<br> 6<br> 10

Alik [6]

X² = 10² + 6²
X² = 100 + 36
X² = 136
X = √136

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2 years ago

What are the steps for using a compass and straightedge to construct a square? Drag and drop the steps in order from start to

denis-greek [22]

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3 years ago

Read 2 more answers

4/3y=48<br><br>solve for y<br><br>simplify answer as much as posible

Helga [31]

<h2>If you mean :</h2>

$\frac{4}{3y} = 48 \\$

Inverse both sides

$\frac{3y}{4} = \frac{1}{48} \\$

Multiply both sides by 4

$4 \times \frac{3y}{4} = 4 \times \frac{1}{48} \\$

$3y = \frac{4}{48} \\$

$3y = \frac{4 \times 1}{4 \times 12} \\$

$3y = \frac{1}{12} \\$

Divide both sides by 3

$3y \div 3 = \frac{1}{12} \div 3 \\$

$y = \frac{1}{12} \times \frac{1}{3} \\$

$y = \frac{1}{36} \\$

_____________________________________________

<h2>If u mean : </h2>

$\frac{4}{3} y = 48 \\$

Multiply both sides by the 3

$3 \times \frac{4}{3} y = 3 \times 48 \\$

$4y = 3 \times 48$

Divide both sides by 4

$4y \div 4 = 3 \times 48 \div 4$

$y = \frac{48 \times 3}{4} \\$

$y = \frac{4 \times 12 \times 3}{4 \times 1} \\$

$y = 12 \times 3$

$y = 36$

6 0

2 years ago

An environmental engineer is tasked with determining whether a power plant cooling system is heating the water it uses more than

Tpy6a [65]

Answer:

1

The correct option is b

2

The correct option is h

Step-by-step explanation:

From the question we are told that

The sample size is n = 15

The difference in population proportion is $d = 6$

Generally the sample mean of the input temperature is

$\= x_1 = \frac{\sum x_i }{n}$

=> $\= x_1 = \frac{57.6 + 68.9 + \cdots +60.4 }{15}$

=> $\= x_1 = 62.57$

Generally the sample mean of the output temperature is

$\= x_2 = \frac{\sum x_i }{n}$

=> $\= x_2 = \frac{65.1 + 74.4 + \cdots +67.3 }{15}$

=> $\= x_2 = 55.97$

Generally the difference of the sample mean of the input temperature and that of the output temperature is

$\= d = \= x_1 - \= x_2$

=> $\= d = 62.57 -55.97$

=> $\= d = 6.6$

Generally the standard deviation is mathematically represented as

$s_d = \sqrt{\frac{\sum(d_1 - \= d )^2}{n} }$

=> $s_d = \sqrt{\frac{([57.6- 65.1]- 6.6)^2+ ([68.9 - 74.4]- 6.6)^2 + \cdots + ([60.4 - 67.3]- 6.6)^2 }{15} }$

=> $s_d = 1.732 [/texGenerally the test statistics is mathematically represented as [tex]t = \frac{ d - \= d }{ \frac{s_d}{\sqrt{n} } }$

=> $t = \frac{ 6-6.6 }{ \frac{1.732}{\sqrt{15} } }$

=> $t = 1.3417$

Generally the degree of freedom is mathematically represented as

$df = n - 1$

=> $df = 15 - 1$

=> $df = 14$

Generally the probability of t obtained from the t - distribution table at a degree of freedom of $df = 14$ is

$P(t >1.3417 ) = 0.10052569$

Generally the p-value is mathematically represented as

$p-value = 2 * P(t > 1.3417)$

=> $p-value = 2 * 0.10052569$

=> $p-value = 0.201$

From the values obtained we see that $p-value > \alpha$ hence

The decision rule is

Fail to reject the null hypothesis

The conclusion is

The cooling system changes the temperature of the water by 6 degrees.

8 0

3 years ago

What is the constant of proportionality for the relationship shown in the table? x 2 4 6 8 y 1 2 3 4

Tamiku [17]

Answer:

$k = \frac{1}{2}$

Step-by-step explanation:

Given

x 2 4 6 8

y 1 2 3 4

Required

Determine the constant of proportionality (k)

The relationship between x and y is:

$y = kx$

When y = 1, x = 2;

So, we have:

$1 = k * 2$

$2 * k = 1$

Make k the subject

$k = \frac{1}{2}$

Hence, the constant of proportionality is 1/2

7 0

2 years ago