Michael travels 172 miles in 4 hours. Find the unit rate.

Answer:

B

Step-by-step explanation:

Im almost sure it B but if not then its for sure D.

The equation that represents the function g(x) is [tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex].

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.

The function is given as

[tex]f(x)=9cos(x-\frac{\pi }{2} )+3[/tex]

The function f(x) is first translated [tex]\frac{\pi }{6}[/tex] units left.

The rule of translation is:

[tex](x,y)=(x+\frac{\pi }{6},y)[/tex]

So, we have:

[tex]f'(x)=9cos(x+\frac{\pi }{6} -\frac{\pi }{2} )+3[/tex]

Take LCM

[tex]f'(x)=9cos(x+\frac{\pi-3\pi }{6} )+3[/tex]

[tex]f'(x)=9cos(x-\frac{2\pi }{6} )+3[/tex]

[tex]f'(x)=9cos(x-\frac{\pi }{3} )+3[/tex]

Next, translate f'(x) 4 units up.

The rule of this translation is:

[tex](x,y)=(x,y+4)[/tex]

So, we have:

[tex]g(x)=9cos(x-\frac{\pi }{3} )+3+4[/tex]

[tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex]

Hence, the equation that represents the function g(x) is [tex]g(x)=9cos(x-\frac{\pi }{3} )+7[/tex].

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Answer:

x=0

Step-by-step explanation:

Regroup terms:

3x=0

Divide both sides by 3:

3x divided by 3 = x

0 divided by 3 = 0

x=0

Answer: They are equal.

Step-by-step explanation:

34 1/2 equals 34.5 in decimal form

34.5 equals 34 1/2 in fractional form

(.5 equals 1/2)

Answer:

1.91

Step-by-step explanation:

Duncan had 3.8 and used 1.89 obviously we can't subtract right now so we have to add a 0 to 3.8 so it would 3.80 - 1.89 = 1.91

The addition of the functions f(x) and g(x) will be (f+ g)(x) = x² – 2x – 13. Then the correct option is A.

Functions are found all across mathematics and are required for the creation of complex relationships.

If f(x) = 2x – 5 and g(x) = x² – 4x – 8.

Then the function (f+ g)(x) will be

(f+ g)(x) = f(x) + g(x)

(f+ g)(x) = 2x – 5 + x² – 4x – 8

(f+ g)(x) = x² – 2x – 13

Then the correct option is A.

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Answer: She got 30 questions right and 6 questions wrong.

Step-by-step explanation:

Let x = Number of correct questions, y = Number of wrong questions

As Award for each correct answer = +3 points and Award for each wrong answer = -1 point.

Total score = 3x-1y

If Marjorie omitted 4 of the 40 questions, then she did 40-4=36 questions.

Now, x+y = 36 (1)

and 3x-y =84   (2)  (as she scored 84)

Adding (1) and (2), we get

4x = 120

Divide both sides by 4, we get

x= 30

y = 36-30=6

hence, she got 30 questions right and 6 questions wrong.

Answer:

Sure! Can you tell me the digits of pi?

Step-by-step explanation:

Answer:

25%

Step-by-step explanation:

Discount:

  $100 * .25 = $25

New Price:

  $100 - $25 = $75

Answer:

562

Step-by-step explanation:

Plug in the values of x, y, and z provided.

(5(5)-1)^2-2(7)

Solve.

(25-1)^2-14

(24)^2-14

576-14

562

Answer: 562

Step-by-step explanation:

(5x+y)^2-2z

first put in the known values. (5(5)+(-1))^2-2(7)

(25+-1)^2-14

Second, do 25+-1=24

(24)^2-14

Third, do 24 squared

576-14

Subtract

562

Answer:

54

Step-by-step explanation:

First let's replace the values x and y.

4y + 2x + 30 will become (4 * 5) + (2 * 2) + 30

Then we do order of operations.

(4 * 5) is 20..

20 + (2 * 2) + 30

Then we do (2 * 2) which is just four.

20 + 4 + 30

Lastly we add it all up.

24 + 30 = 54

I hope this helps, I hope it's not wrong, but I don't think it is.

Answer:-2.3

Step-by-step explanation:

-8 + 4.5 = -3.5

-3.5 -(-1.2)= -2.3

Answer:

Its D

Step-by-step explanation:

Answer:

i will help in a bit

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

EDG 2021

credits to the owner:lisboa, another brainly expert

Answer:  The answer for 1. is B For 2 its c and for 3 its D

also I LOVE MY HERO ACEDAMEIA

Step-by-step explanation:

Answer:

19/24 pounds

Step-by-step explanation:

To find the total number of pounds, we should add 3/8 and 5/12. They both have different denominators, so we have to find the least common multiple between 12 and 8. The least common multiple between 12 and 8 is 24. 12 should be multiplied by 2 to get 24 (5 too) and 8 should be multiplied by 3 to get 24 (3 too).

[tex] \frac{3}{8} + \frac{5}{12} [/tex]

[tex] \frac{3 \times 3}{8 \times 3} + \frac{5 \times 2}{12 \times 2} [/tex]

[tex] \frac{9}{24} + \frac{10}{24} [/tex]

[tex] \frac{19}{24} [/tex]

Answer:

0.42 & -0.85

Step-by-step explanation:

Answer:

9 and 16       hope this helps.

Step-by-step explanation:

Answer:

ok I did it two ways and got different answers

Step-by-step explanation:

addition

42^2 +69^2= x^2

1,764 +4,761=x^2

1,764 + 4,761= 6,525

Square root of 6,525 is 80.77 or 15/29

subtracting

4,761 -1,764= 2,997

Square root of 2,997 is 54.74 or 9/37

hope one of these are right, good luck

Answer:

two trillion nine hundred forty-six billion five hundred million

The company produced 2946.5 billion milliliters.

Multiplication is a mathematical arithmetic operation.

The process of adding the same number many times is repeated addition.

Multiplication is a repeated addition.

Example - 2 × 3 means 2 is added three times, or 3 is added 2 times.

Given:

Last year,

a company that makes apple juice produced 8.3 billion bottles of apple juice.

And 355 milliliters of juice occupied by each bottle.

then the company produced,

= 355 x 8.3 billion milliliters,

= 2946.5 billion milliliters.

Therefore, 2946.5 billion milliliters.

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Answer:

Use slope formula

Step-by-step explanation:

To calculate the slope, you can use the slope formula which is the change in the height compared to the change in the width. Using ordered pairs, this is the change in the y-values divided by the change in the x-values or the rise divided by the run.

Answer:

d = 10 inches

Step-by-step explanation:

It is given that,

The length, breadth and the height of a rectangular box is 8 inches×10 inches ×6 inches

We need to find the length of its longest diagonal.

In a rectangle, 6 inches will act as perpendicular and 8 inches will be base. The diagonal can be calculated using Pythagoras theorem as follows :

[tex]d=\sqrt{8^2+6^2} \\\\=\sqrt{64+36}\\\\=10\ \text{inches}[/tex]

So, the length of its diagonal is 10 inches.

Step-by-step explanation:

The “fun size” of a Snickers bar is supposed to weigh 20 grams. Because the penalty for selling Snickers candy bars that weigh less than 20 grams is so severe, the manufacturer calibrates the machine so that the mean weight is 20.2 grams. The quality control manager at the candy company is concerned that the candy produced does not weigh 20.2 grams. She obtains a random sample of 64 candy bars and weighs them. She finds that the mean weight of this sample is 20.05 grams with standard deviation 0.72. By answering the following questions, test the claim that the Snickers bars have a mean weight less than 20.2 grams at the level of α = 0.01.

1. Select from the following list all the requirements that are met in this problem scenario for this test: (circle your choice(s))

a. The population is approximately normal.

b. The population standard deviation is known.

c. The sample taken is a random sample.

d. The population standard deviation is unknown. e

. The degrees of freedom is 0.01.

f. The sample size is greater than 30.

2. Which of the following statements is correct?

a) Parameters describe sample characteristics.

b) Statistics describe population characteristics.

c) We use statistics to estimate the value of parameters.

d) We use parameters to estimate the value of statistics

Expert Answer

The percent of Snickers bars which have a mass more than 21.5 grams is equal to 2.28%.

To find the percentage of Snickers bars with a mass more than 21.5 grams,

use the concept of standard normal distribution.

Calculate the z-score for 21.5 grams.

The z-score is a measure of how many standard deviations a particular value is away from the mean. It can be calculated using the formula:

z = (x - μ) / σ

where x is the value we want to find the z-score for, μ is the mean, and σ is the standard deviation.

Here

x = 21.5 grams

μ = 20.1 grams (mean)

σ = 0.7 grams (standard deviation)

z = (21.5 - 20.1) / 0.7

z = 1.4 / 0.7

z = 2

The percentage of values greater than the z-score in the standard normal distribution calculator.

The percentage of values greater than 2 standard deviations from the mean is approximately 2.28%.

Therefore, approximately 2.28 percent of Snickers bars have a mass more than 21.5 grams.

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Answer:

The correct answers are B, C, and E.

Step-by-step explanation:

Answer:

b c e

Step-by-step explanation:

Answer:

I'm guessing you're solving for X so

X=  17/2

Step-by-step explanation:

Answer:

Option (D)

Step-by-step explanation:

From the figure attached,

Since, ΔABD and ΔECD are the similar triangles,

Their corresponding sides will be proportional.

[tex]\frac{AB}{EC}=\frac{BD}{CD}[/tex]

[tex]\frac{h}{6}=\frac{(x+10)}{10}[/tex]

10h = 6(x + 10)

Since, the person is standing 35 feet from a street light,

x = 35 feet

By substituting the value of x in the equation,

10h = 6(35 + 10)

10h = 270

h = 27 ft

Therefore, height of the street light will be 27 feet.

Option (D) is the answer.