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2 years ago

Complete the function table for each equation

Mathematics

1 answer:

I am Lyosha [343]2 years ago

7 0

Answer:

y=-32, 0, -16, -4, 16

Step-by-step explanation:

y=4(-6)-8= -32

y=4(2)-8 = 0

y=4(-2)-8 = -16

y=4(1) -8 = -4

y=4(6) -8= 16

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Given the right angle triangle shown here, calculate:

charle [14.2K]

Answer:

see explanation

Step-by-step explanation:

(1)

(a)

sin(a) = $\frac{opposite}{hypotenuse}$ = $\frac{15}{17}$

(b)

cos(a) = $\frac{adjacent}{hypotenuse}$ = $\frac{8}{17}$

(c)

tan(a) = $\frac{opposite}{adjacent}$ = $\frac{15}{8}$

----------------------------------------------------

(2)

(a)

sin(b) = $\frac{opposite}{hypotenuse}$ = $\frac{8}{17}$

(b)

cos(b) = $\frac{adjacent}{hypotenuse}$ = $\frac{15}{17}$

(c)

tan(b) = $\frac{opposite}{adjacent}$ = $\frac{8}{15}$

5 0

3 years ago

Read 2 more answers

In 2006, 95% of new cars in the US came with a spare tire. In 2017, 72% came with a spare tire.

MArishka [77]

Using the Central Limit Theorem, it is found that:

The mean is 0.23.

The standard deviation is $s = \sqrt{\frac{0.95(0.05)}{250} + \frac{0.72(0.28)}{250}}$ .

<h3>Central Limit Theorem</h3>

It states that for a <u>proportion p in a sample of size n</u>, the sampling distribution of sample proportions has mean $p$ and standard deviation $s = \sqrt{\frac{p(1 - p)}{n}}$

When two variables are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.

In 2006, 95% of new cars in the US came with a spare tire, with a sample of 250, hence:

$p_1 = 0.95, s_1 = \sqrt{\frac{0.95(0.05)}{250}}$

In 2017, 72% of new cars in the US came with a spare tire, with a sample of 250, hence:

$p_2 = 0.72, s_2 = \sqrt{\frac{0.72(0.28)}{250}}$

Hence, for the distribution of differences:

$p = p_1 - p_2 = 0.95 - 0.72 = 0.23$

$s = \sqrt{s_1^2 + s_2^2} = \sqrt{\frac{0.95(0.05)}{250} + \frac{0.72(0.28)}{250}}$

To learn more about the Central Limit Theorem, you can take a look at brainly.com/question/16695444

7 0

2 years ago

In triangle ABC, if an exterior angle drawn at vertex C

Lorico [155]

Answer:

Part 1) Option D. must be an acute angle

Part 2) m∠A=70°

Step-by-step explanation:

Part 1) In triangle ABC, if an exterior angle drawn at vertex C measures 45, then angle B...

we know that

An exterior angle of a triangle is equal to the sum of the opposite interior angles

The measure of an exterior angle at C is equal to the sum of the interior angles at A and B

we have that

45°=m∠A+m∠B

therefore

m∠B < 90°

Angle B must be an acute angle

Part 2)

we know that

An exterior angle of a triangle is equal to the sum of the opposite interior angles

The measure of an exterior angle at B is equal to the sum of the interior angles at A and C

m∠A+m∠C=2m∠C+5

m∠C=m∠A-5 ----> equation A

m∠C=65° ----> equation B

substitute equation B in equation A

65°=m∠A-5

m∠A=(65+5)°=70°

3 0

3 years ago

The set of blue lines in the graph below are parallel lines. If the lines are translated, 4 units to the right and 3 units down,

EastWind [94]

Answer:

A(0,-3) B (5,0) C(0,-7)D(5,-4)

Step-by-step explanation:

8 0

3 years ago

What is the dividend yield on Stock A that sells at

stira [4]

Answer:

5.3%

Step-by-step explanation:

The annual dividend is 4 times the quarterly dividend, so is $0.80 per share. The yield is the ratio of that to the share price:

yield = $0.80/$15.00 ≈ 0.05333... ≈ 5.3%

The dividend yield is 5.3%.

6 0

2 years ago