What cosine function represents an amplitude of 2, a period of 2π, a horizontal shift of π, and a vertical shift of −1? (6 points) a f(x) = −1 cos πx + 2 b f(x) = −1 cos (x − π) + 2 c f(x) = 2 cos (x − π) − 1 d f(x) = 2 cos πx − 1

Answer:

C

Step-by-step explanation:

P is an independent variable, therefore making M a dependent variable.

B and D are not it.

When plugging in P in choice A, M has a different answer than in the list.

A is not it.

When pluggin in P in choice C, M has the same answers as in the list.

C is the answer

Answer:

here is the exact value of x=16

Answer:

6√17 units

Step-by-step explanation:

A property of rectangles is that their opposite sides are equal in length.

Hence, to find the perimeter :

Finding AB by applying distance formula :

Finding BC :

Perimeter :

Answer:

see below

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

V = 4/3 pi ( 14)^3

V =3658.666666pi

Using 3.14 for pi

V =11488.21333 cm^3

Using the pi button

V =11494.04032cm^3

Step-by-step explanation:

Volume of sphere----> 4/3π r³

4/3 x 22/7 x 14³. r=14(given)

4. x 22. x 14³

3. 7

4 x 22 x 14x14x2

3

88. x 196 x 2

3

88 x 392

3

34496

3

11498.6 answer

hope this helps you

have a nice day

Answer:

A= -4t+43

B=-2t+33

Snowman A is taller than snowman B when t < 5 hours

Answer:

Half

Step-by-step explanation:

by dividing in half, it shows both sides are equal/symmetric

hope this helps:)

Answer:

[tex]\huge\boxed{\textbf{Two\ identical\ halves}}[/tex]

Step-by-step explanation:

Symmetry:

Line of symmetry:

[tex]\rule[225]{225}{2}[/tex]

Answer:

a

Step-by-step explanation:

Answer:

  the graph

Step-by-step explanation:

The statement "*Remember ..." tells you how to identify the functional relations.

__

In the top diagram, each x-value maps to more than one y-value. Effectively, that means x is repeating (not a function).

In the set of ordered pairs, the value 3 shows up as an x-value more than once. It repeats (not a function).

In the graph, each value of x is shown as corresponding to exactly one value of y. The graph shows y as a function of x.

On the mapping one

0 has two ranges i.e 0 and 12

Where as in the graph

Graph represents a function

Answer:

D = √193 units

or

D = 13.892 units

Step-by-step explanation:

Given:

(7, 4) and (-5, -3)

Calculate the distance

Solution:

[tex] \rm \: Distance (D) = \sqrt{( x_{2} - x_{1}) {}^{2} + (y_{2} - y_{1) {}^{2} }} [/tex]

Now, substitute the values given:

[tex] \rm \: D = \sqrt{ \{( - 5) - 7 \}^{2} + \{( - 3) - 4 {}^{} \} {}^{2} } [/tex]

[tex] \rm \: D = \sqrt{ \{12 \}^{2} + \{( - 3) - 4 {}^{} \} {}^{2} } [/tex]

[tex] \rm \: D = \sqrt{ 144 + \{( - 3) - 4 {}^{} \} {}^{2} } [/tex]

[tex]\rm D = \sqrt{144 + \{ 7\}{}^{2} } [/tex]

[tex] \rm \: D = \sqrt{144 + 49} [/tex]

[tex] \boxed{\rm \: D = \sqrt{193}} [/tex]

[tex] \boxed{\rm \: D =13 .892}[/tex]

Thus, Distance between the two given points will be √193 or √13.892 units.

Answer:

[tex]\bf \sqrt{193}[/tex] units or 13.9 units is the distance.

Explanation:

[tex]\sf Distance \ between \ two \ points = \sqrt{(x_2 - x_1)^2 +(y_2 - y_1)^2}[/tex]

Given points: (7, 4) and (-5, -3)

Identify following:

[tex]\sf x_2= 7[/tex], [tex]\sf x_1 = -5[/tex], [tex]\sf y_2 =4[/tex], [tex]\sf y_1 =-3[/tex]

Find distance:

[tex]\rightarrow \sf \sqrt{(7 - (-5))^2 + (4 - (-3))^2} \quad = \quad \sqrt{144+49} \quad = \quad \sqrt{193} \quad \approx \ 13.9[/tex]

The stem and leaf plot represents the numbers 15, 18, 46, 50, 50, 50, 50, 57. To find the mean, add these up (336) and divide by the number of data points (8). The mean is 42.

Work Shown:

4(10b-4)

4*10b - 4*4

40b - 16

I multiplied the outer term 4 by each term inside. Refer to the distribution property (aka distributive property).

Answer:

40b - 16

Step-by-step explanation:

4 (10b - 4)

= (4*10b) - (4*4) [distributive property]

= 40b - 16

Hope it helps ⚜

Answer:

30%

Step-by-step explanation:

Do 6,000 minus 2,820 which we get 3,180. The 3 is in 30% so 30 is your answer with the percentage sign.

Answer:

y=3/3x+3/2

Step-by-step explanation:

(-5,-6)(1,3)

x1y1 x2y2

y2-y1/x2-x1

m=3/2

b=3/2

Answer:

42 in^2

Step-by-step explanation:

The given is a parallelogram and to calculate the area of a parallelogram we multiply its height and base

The height here is given as 6in and base is 7in

7*6 = 42, the area is presented in square units so the answer is 42 in^2

We can find the equation that represent the equation of ellipse we can identify by the major axis and minor axis, and center.

An ellipse is a locus of a point that moves in a plane such that the sum of its distances from the two points called focus adds up to a constant. It is taken from the cone by cutting it at an angle.

We have equation of ellipse:

[tex]\rm \dfrac {y^2}{25}+\dfrac{x^2}{4}=1[/tex]

[tex]\rm \dfrac {y^2}{5^2}+\dfrac{x^2}{2^2}=1[/tex]

Here a = 5, and b = 2

Major axis is 2a = 2(5) = 10

Minor axis is b = 2(2) = 4

Here a graph is not given, if

Thus, we can find the equation that represent the equation of ellipse we can identify by the major axis and minor axis, and center.

Learn more about the ellipse here:

https://brainly.com/question/19507943

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Answer:

59 degrees

Step-by-step explanation:

180 - 126 = 54

6x-1 + 5x + 17 +54 =180

11x + 70 = 180

11x = 180 -70

11x = 110

x =10

Therefore

6(10) - 1 = 59 degrees

Considering the hypothesis tested and the p-value of the test, the correct option is given by:

There is sufficient evidence that there is a difference in mean cholesterol level when using medicine X and medicine Y.

At the null hypothesis, it is tested if there is no difference between the cholesterol levels, that is:

H₀:Hₓ-H

At the alternative hypothesis it is tested if there is a difference, hence:

H₀:Hₓ-H≠0

The p-value is of 0.003 < 0.01, hence we reject the null hypothesis and conclude that there has was a difference, hence the correct option is given by:

There is sufficient evidence that there is a difference in mean cholesterol level when using medicine X and medicine Y.

More can be learned about hypothesis tests at brainly.com/question/26454209

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Answer:

Step-by-step explanation:

#hope it helps!

Answered by ReyvREYV111

Answer:

76/26

Step-by-step explanation:

Answer: 120 students

Step-by-step explanation:

multiply 40 by 300 then divide by 100 = 120

Answer:

1017.36 m²

Step-by-step explanation:

Info:

Diameter: 36m

π: 3.14

---

If the formula for area of circle is: A = πr², and the radius is 18 (half of 36)

Then to find the area, we just multiply π with 18².

18 x 18 = 324.

324 x 3.14 = 1017.36

The area of the circle is 1017.36 m²

Hi Student!

The first step to most problems is to determine the important information that is provided in the given problem statement.  In this problem we can see that we are given a diameter of a circle which is 36 meters.  Another important thing that we can determine is that the question is asking for us to find the area of the circle using 3.14 for π.

Now that we have collected our important information we can move onto the next step which isn't to find the area yet.  First, we need to determine what the radius of our circle is.

Determine the radius

Now, we can finally plug in our values into the area of a circle equation and solve.  The only thing that we need to find the area is the radius which we determined from the previous step.

Plug in the values

Expand the exponent

Multiply the final two numbers

Therefore, the area of a circle with a diameter of 36 meters is 1017.36 meters squared.

The equation that he can use to find n, the number of gallons of water he should remove is; (3.52)/(22 - n) = 24/100

Let us first find the amount of ammonia in 22 gallons of 16% ammonia solution.

This gives;

Amount = 16% * 22 gal

Amount = 3.52 gal

Now, the amount of ammonia remains the same after the water evaporates, but the total amount of solution will reduce by the amount of water that evaporates.

Amount of ammonia = 3.52 gal

Amount of water that remains = 22 - n

Desired concentration = 24% = 24/100

Thus, the equation is;

(3.52)/(22 - n) = 24/100

Read more about Chemical Quantities at; https://brainly.com/question/26150306

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Answer:

y = x - 8

Step-by-step explanation:

I plugged iin for the values and checks out.

Hope this helps!

Answer:3x^3-4x^2+7x-12+10/x+2

Step-by-step explanation:

Answer:

x1 ~ -1.8
x2 ~  1.30

Step-by-step explanation:

[tex]\frac{x(x(x+1)(3x-1)+2)-14}{x+2}[/tex]

Answer:

x means 2 and y means -2

Step-by-step explanation:

Answer: 25 nickels

10 dimes

Step-by-step explanation:

Answer:

32

Step-by-step explanation:

ok if it was a normal rectangle =

8 x 6

but the middle part takes 4 from the middle

since there are 2 rectangle

4/2 = 2

since there are lines

6 x 2 = 12 + another 12 since the rectangle on the bottom is the same as the top

24 + ...

6 - 4

2 x 4 = 8

24 + 8 =

32