Please explain step by step.

Answer:

The amplitude is 3

Step-by-step explanation:

Given

The right function is:

[tex]y = 3 \cos(\frac{1}{2}x)[/tex]

Required

The amplitude

A sine function is represented as:

[tex]y =A \cos(Bx + C) + D[/tex]

Where

[tex]Amplitude = |A|[/tex]

By comparing:

[tex]y = 3 \cos(\frac{1}{2}x)[/tex] and [tex]y =A \cos(Bx + C) + D[/tex]

[tex]A= 3[/tex]

So:

[tex]Amplitude = |3|[/tex]

[tex]Amplitude = 3[/tex]

Hence, the amplitude is 3

The school has a total of 360 students. The number of students that would attend this year is 357.

A percentage is a minimum number or ratio that is measured by a fraction of 100.

The percentage of students in the school that attended the talent show for the years 2008 to 2013 is shown

2008: 86%

2009: 89%

2010: 93%

2011: 85%

2012: 92%

2013: 95%

Number of students that would attend this year

= percentage of students that attended in 2013 x total number of students

[tex]= \frac{94}{100} \times 380\\= 357.2[/tex]

Thus, 357 to the nearest whole number.

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Answer:

Step-by-step explanation:

all you have to do is * 7 by 5 and divide by 2

9514 1404 393

Answer:

Step-by-step explanation:

Let c represent the number of pounds of cashews in the mix. Then 40-c is the number of pounds of peanuts. The total cost of the mix is ...

  10c +2(40 -c) = 7(40)

  8c +80 = 280 . . . . simplify

  c +10 = 35 . . . . . . . divide by 8

  c = 25 . . . . . . . . . . subtract 10

  40-c = 40-25 = 15 . . . . pounds of peanuts

25 pounds of cashews and 15 pounds of peanuts should be used in the mix.

Answer:

answers steps below and attached for the 5 points

Step-by-step explanation:

y = x² + 10x + 24

x² + 10x + 24 = 0

(x+4) (x+6) = 0

x = -4 or x = -6        .... Roots: (-4 , 0) and (-6 , 0)

y = (x² + 10x + 25) - 1 = (x+5)² - 1             ... y = (x-h)² + k    (h,k) is vertex

vertex: (-5,-1)

Answer:

4 pounds of flour does not equal 6 pounds of flour

or

4 pounds of concrete is lighter than 6 pounds of concrete

Step-by-step explanation:

Answer:

3/4 or 0.75

Step-by-step explanation:

Answer:

I am sorry but I don't know answer

Answer: its C because 30 is greater than 3

Step-by-step explanation:

Answer:

x/3+y/2

Step-by-step explanation:

Hello, to find the equivalent expression in this equation, you would first distribute the 1/6 to 2x+3y like this:

2x(1/6)+3y(1/6)

Then, you multiply and you would get x/3+y/2. And that would be the answer.

Answer:

um... 12

Step-by-step explanation:

<3

The value of f(3) is given as 14.

A function y = f(x) can be defined as a one to one relation between sets X and Y. The set X is called the domain and Y is called the range of the function.

The given function is as below,

f(x) = 4x + 2

In order to find the value of f(3) substitute x = 3 in the function as,

f(3) = 4 × 3 + 2

     = 12 + 2

     = 14

Hence, the value of the function f(x) at x = 3 is 14.

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Answer:

1/(x+6)

Step-by-step explanation:

I'm assuming you want me to factorize

x^2+4x-12 would factorize into (x-2) and (x+6)

Therefore, the numerator (x-2) would cancel with the part of the numerator (x-2) leaving 1/(x+6)

In 2009- She paid $1900

She paid 16% more in 2010

16/100*1900=304

She paid $304 extra

$1900+$304

=$2204

Answer: In 2010 Tanvi paid $2204

Answer:

The area is 9 unit squared

Step-by-step explanation:

Given

The right parameters are:

[tex]Base = 2[/tex]

[tex]Height = 9[/tex]

Required

The area of the triangle

This is calculated as:

[tex]Area = 0.5 * Base * Height[/tex]

So, we have:

[tex]Area = 0.5 * 2 * 9[/tex]

[tex]Area = 9[/tex]

Hence, the area is 9 unit squared

the answer is A which is 1900 ml

Answer:

10m+10

Step-by-step explanation:

5x2=10

5x2m=10m

10m+10

Answer:

$3.75

Step-by-step explanation:

The board is 7 and a half feet long. It costs 0.5 per foot.

Therefore we can just multiply the two to find the total cost:

0.5 x 7.5 = $3.75

Hope this helped!

answer is 9

Change the sign of the exponent by rewriting the base as its reciprocal

3^2

raise 3 to the power of 2

you get 9

The area of shaded region is 100 square centimeters.

An area is the amount of space taken up by a 2D shape or surface. The area of a shape is the number of unit squares required to completely cover it.

For the given situation,

The diagram shows the rectangle. In rectangle, some region is shaded and some region is left. The unshaded region is in the shape of the right triangle.

The area of shaded region = Area of rectangle - Area of triangle

The dimension for rectangle,

Length = 10 cm

Width = 14

The formula of area of rectangle = (length)(width)

The dimension for triangle,

Base = 10 cm

Height = 14 - 6

⇒ Height = 8 cm

The formula of area of triangle = 1/2 (base)(height)

On substituting the above values,

Thus area of shaded region = [tex](10)(14)-\frac{1}{2} (10)(8)[/tex]

⇒ [tex]140-40[/tex]

⇒ [tex]100[/tex]

Hence we can conclude that the area of shaded region is 100 square centimeters.

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Answer: 36%

Step-by-step explanation: A simple way to figure out is to do 32/50 times 2. This makes it 64/100. 100 minus 64 is 36 which is the percent on how much free throws she mised

Answer:

answer is will be A(x) is linear, but P (x) is not

The function P(x) = 2[(f + g)(x)] will be linear but A(x) = (f º g)(x) will not be linear.

A function is a relation between a dependent and independent variable. We can write the examples of functions as -

y = f(x) = ax + b

y = f(x, y, z) = ax + by + cz

Given is to that a rectangle has a length represented by the function f(x) and a width represented by g(x).

For the function -

P(x) = 2[(f + g)(x)]

We can see that two linear functions are added. So the resulting function will be a linear function.

and

For the function -

A(x) = (f º g)(x)

We can see that the function g(x) act as a domain for the function f(x). This will no longer make the function f(x) linear. So, it will not be linear.

Therefore, the function P(x) = 2[(f + g)(x)] will be linear but A(x) = (f º g)(x) will not be linear.

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Answer:

the graph that represents 3×+→7 it is graph b

Answer:

100times

Step-by-step explanation:

theoretically it would be a 50/50 so I would expect them to match 50% of the time or 100 times

Answer:

672 sq. inches

Step-by-step explanation:

total surface area:

[tex]2\times ( \frac{1}{2} \times 7 \times 24 ) + (7 \times 9) +(24 \times 9)+(25 \times 9)\\= 672[/tex]

Answer:

Answer is A l and ll

Step-by-step explanation:

Hannah has been researching sales of garden supplies. She wants to show the pattern that sales follow over the course of a year. The line graph is most effective for the sales. The correct option is (D).

An individual data point is connected by a line in a line graph, sometimes referred to as a line plot or a line chart. A line graph shows numerical values over a predetermined period of time.

here, we have,

Line graphs have two axes that are graphically represented as x and y, respectively (x,y).

There are three types of line graph which are as follows:

Multiple line graph.

Simple line graph.

Compound line graph.

Hence, Hannah has been researching sales of garden supplies. She wants to show the pattern that sales follow over the course of a year. The line graph is most effective for the sales.

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Complete question:

Hannah has been researching sales of garden supplies. She wants to show the pattern that sales follow over the course of a year. Which type of graphic would be most effective?

A. Bar chart

B. Pie chart

C. Flow chart

D. Line graph

Answer:

20.99+ 10.29n s 100

Step-by-step explanation:

Well your variable is the number of pants she wants to buy, so on top of the shirt she bought it would  20.99 + 10.29n, but you wouldn't put 100$ at the end of the sentence because for all you know she could have gone past 100 dollars. Hope this helps! Also, if we are counting this from 100 it is better to just subtract 20.99 from 100 and divide by 10.29.

Answer:

The total hotdogs are 8 and total bag of chips are 4 and altogether is 12

Step-by-step explanation:

1 brother gets 2 hot dogs and 1 bag of chips

. To find the total hot dogs multiply 2 by 4 and you will get 8

. To find the total chips multiply 4 from 1 and the answer is obviously 4

To find the total together add 4 and 8 you will get 12

HOPE THIS HELPS :)

Answer: hifcnvhkbkjhbjlljn

Step-by-step explanation:

Answer:

8 dollars

Step-by-step explanation:

If you divide 72 by 9, youll get an even number of 8.