A cosine function has a period of 4, a maximum value of 20, and a minimum value of 0. The function is not a reflection of its parent function over the x-axis.

Which function could be the function described?

a. f(x)=10cos(2x)−10
b. f(x)=−10cos(π/2x)+10
c. f(x)=10cos(π/2x)+10
d. f(x)=−10cos(2x)+10

Answer:

38.5

Step-by-step explanation:

The formula for the area of the circle is [tex]\pi rx^{2} \\[/tex].

Since you have the diameter and you're told to use 3.14 as pi, all you need to do is to substitute.

The diameter is also 2 times the size of the radius so you divide 7 by 2.

So [tex](3.14)(3.5)^{2} = 38.5[/tex]

Answer:

4

Step-by-step explanation:

Nickels are 5 cents a piece so you will multiple 11 by 5 to find how much Alan has in nickels. Then subtract that from the total of 95 to get your answer.

11 × 5 = 55

95 - 54 = 40

Since dimes are worth 10 cents you divide 40 by 10 and that is how many dimes Alan has.

40/10=4

Answer:

19

Step-by-step explanation:

3(x-9)= 3x-27

3x-27=30

3x=57

x=19

Answer:

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Answer:

Thank you Do you Have a question Or?

Answer:

Step-by-step explanation:

Based on the data gathered on that certain day, I would say NO, the store does not need to change its staffing. The data shows that the percentages calculated by the store are extremely close to the actual percentage of people that arrived at those given hours throughout the day. The problem with this solution is that it does not take into account special circumstances, such as specific days, events, holidays, new popular items, etc. All of these can drastically affect the number of people that enter the store at a given time.

1. The retail store should not change its staffing arrangement.

2. Changing the staffing arrangement may not favor the retail store.

Data and Calculations:

                                             8:00 am &   12:00 pm &   4:00 pm &   8:00 pm &

                                              12:00 pm       4:00 pm      8:00 pm      midnight

Expected % of customers        32%             21%              35%                12%

Actual number of customers  214               198              276                  134

Total Number of customers = 822 (214 + 198 + 276 + 134)

Actual % of customers            26%             24%             34%                 16%

Difference between expected percentage of

 customers and actual           6%                3%                1%                  -4%

Variation                                 0.36%           0.09%         0.01%            0.16%

Sum of variation = 0.62%

Standard Deviation = 0.787

Thus, based on the standard deviation, the store should not change its staffing.

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Answer:

0.871

Step-by-step explanation:

a. Solve the formula for r.

V = C (1 + r)²

dividing both sides by C, we have

V/C = (1 + r)²

(1 + r)² = V/C

taking square root of both sides, we have

√(1 + r)² = √(V/C)

1 + r = √(V/C)

r = √(V/C) - 1

b. Lew bought a condo 20 years ago for $50,000, and the current value of the condo is $175,000. Assuming the same

rate each year, what has the annual rate of appreciation been? Round your answer to the nearest half a percent.

Since r  = √(V/C) - 1 and V = $ 175,000 and C = $ 50,000

Substituting the values of the variables into the equation for r, we have

r  = √($ 175,000/$ 50,000) - 1

r  = √3.5 - 1

r = 1.871 - 1

r = 0.8708

r ≅ 0.871

Answer: y= -4 divided by 3 • x (-1)

Step-by-step explanation:

✨photo math✨

Answer:

1/3

Step-by-step explanation:

2 divided by 6 is 1/3 and 1/3 times 6 is 2

9514 1404 393

Answer:

  (a)  m = 2

Step-by-step explanation:

The formula tells you the slope is ...

  m = (18 -10)/(5 -1) = 8/4

  m = 2

Answer:

4.8 miles

Step-by-step explanation:

have a good day!

Answer:

4.8 Miles

Step-by-step explanation:

Answer:

$87025

Step-by-step explanation:

Net worth is assests minus liabilities

Answer:

1 cubic centimeter is the volume

Step-by-step explanation:

the surface area is 6

6 = 6a^2

1 = a^2

1 = a

L  * W * H = ?

1 x 1 x 1 = 1

1 is the volume

have a good day!

Answer:

$1600

Step-by-step explanation:

Interest = Principal x Rate x Time

I = 4000 x .08 x 5

I = 1600

Answer:

78.75min

Step-by-step explanation:

t=S/v

105km/80km/hr

=1.3125hr

1.3125hr =78.75min

Answer:

<1=62

<2=83

<3=35 this is the answer of this question

Answer:

Permutation without repetition

Step-by-step explanation:

The order of the cards matter, which makes it a permutation, but since none of the cards are exactly the same, repetition isn't allowed/possible

The problem is of the type permutation without repetition.

What is permutation and combination?

Permutation and combination are the methods used in counting how many outcomes are possible in various situations. Permutations is used in the case of arrangements and combinations is used in the case of selections.

In the given scenario, the order of cards is a priority therefore, permutation will use.

Also, the cards are not repeating in the scenario.

Therefore, the sequence is permutation without repetition.

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Answer:

sam is 30 and harry is 10

Step-by-step explanation:

hope you liked my answer .

Answer: Sam is 30 years old, and Harry is 10 years old.

Step-by-step explanation:

9514 1404 393

Answer:

  y = -3x

Step-by-step explanation:

The slope formula gives the slope of the segment between the given points.

  m = (y2 -y1)/(x2 -x1)

  m = (-3 -(-5))/(2 -(-4)) = 2/6 = 1/3

The slope of the perpendicular line is the opposite reciprocal of this, so is ...

  m' = -1/(1/3) = -3

A perpendicular line is ...

  y = -3x

Answer: k^3=1

Step-by-step explanation:

Answer:k^3=1

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

10 times 8 = 80

80 times 3 = 240

Answer:

A

Step-by-step explanation:

length times width times height  will give you volume

Answer:

0.5319 = 53.19% probability that the young man is taller than the young woman by more than 5 inches

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Subtraction between normal variables:

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

Distribution of the difference in height between men and woman:

Applying the concept above:

[tex]\mu = 69.3 - 64 = 5.3[/tex]

[tex]\sigma = \sqrt{2.7^2 + 2.8^2} = 3.89[/tex]

What is the probability that the young man is taller than the young woman by more than 5 inches?

Probability of the difference being more than 5 inches, that is, 1 subtracted by the pvalue of Z when X = 5.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{5 - 5.3}{3.89}[/tex]

[tex]Z = -0.08[/tex]

[tex]Z = -0.08[/tex] has a pvalue of 0.4681

1 - 0.4681 = 0.5319

0.5319 = 53.19% probability that the young man is taller than the young woman by more than 5 inches

Answer:

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JUST KIDNG HERES THE ANSWERS BELOW.

7

15

-5

1

4

Step-by-step explanation:

Answer: b that is too easy

Step-by-step explanation:

By DeMoivre's theorem,

(3 (cos(5π/6) + i sin(5π/6)))⁴ = 3⁴ (cos(4×5π/6) + i sin(4×5π/6))

… = 81 (cos(20π/6) + i sin(20π/6))

… = 81 (cos(10π/3) + i sin(10π/3))

… = 81 (cos(-2π/3) + i sin(-2π/3))

… = 81 (cos(2π/3) - i sin(2π/3))

… = 81 (-1/2 + √3/2 i )

… = -81/2 + 81√3/2 i

Answer:

a) a + b

Step-by-step explanation:

The value of the exterior angle x will be (a+b).

The angle made by the two lines of the figure which lie on the outside of the closed figure is called the exterior angle.

The exterior angle is the sum of the two opposite internal angles of any figure.

The exterior angle in the given figure will be equal to x = a+b the sum of the two opposite interior angles.

Therefore the value of the exterior angle x will be (a+b).

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Answer: No

Step-by-step explanation: a rectangle can be a parallelogram because it qualifies to be a parallelogram however a parallelogram can’t be a rectangle because a rectangle has all 90 degree angles and that opposite sides can be equal and parallelograms come in different forms