What steps transform the graph y = x2 to y = x2 + 8

Answer:

Step-by-step explanation:

Circumference is= to diameter * Pi

[tex]6\pi = 6*3.14=18.84\\15\pi=15*3.14=47.1[/tex]

For the ones that are radius, double it, then pi

[tex]21*2\pi = 42\pi =42*3.14=131.88\\6.7*2\pi=13.4\pi =13.4*3.14=47.076[/tex]

The cosine function is the trigonometric function, so it is known as the periodic function.

The period of the given function is π/5. The option 4 is the correct option.

What is the period of the cosine function?

The cosine function is the trigonometric function, hence it is known as the periodic function.

The period of a function is the total interval in which the function repeats itself over and over again the of the function for a complete cycle. If,

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

Then the period of the cosine function can be given as,

[tex]I=\dfrac{2\pi}{|B|}[/tex]

Given information-

The given function in the problem is,

[tex]f(x)=\cos(10x)[/tex]

The above function is the cosine function. Let a cosine function of in with values of [tex]x[/tex] 0 to 2π.

Now the period of the periodic function is the interval of [tex]x[/tex] values in which the the cycle of graph repeats itself in both directions.

Compare the given function with above equation we get,

[tex]B=10[/tex]

Thus the period of the [tex]\cos (10x)[/tex] is,

[tex]I=\dfrac{2\pi}{|10|}\\I=\dfrac{\pi}{|5|}\\I=\dfrac{\pi}{5}\\[/tex]

Hence the period of the given function is π/5. Thus the option 4 is the correct option.

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Answer:

○ [tex]\displaystyle \frac{\pi}{5}[/tex]

Explanation:

[tex]\displaystyle \boxed{f(x) = sin\:(10x + \frac{\pi}{2})} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-\frac{\pi}{20}} \hookrightarrow \frac{-\frac{\pi}{2}}{10} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\frac{\pi}{5}} \hookrightarrow \frac{2}{10}\pi \\ Amplitude \hookrightarrow 1[/tex]

OR

[tex]\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 0 \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{\frac{\pi}{5}} \hookrightarrow \frac{2}{10}\pi \\ Amplitude \hookrightarrow 1[/tex]

From the information above, you have your answer.

I am delighted to assist you at any time.

The standard form for linear equations in two variables is Ax+By=C. For example, 2x+3y=5 is a linear equation in standard form. When an equation is given in this form, it's pretty easy to find both intercepts (x and y). This form is also very useful when solving systems of two linear equations.

Answer:C

Step-by-step explanation:

I am not that sure.. but I think the answer is C.

Answer:

10.61 cm

Step-by-step explanation:

From the question,

The volume of the rectangular piece of metal = Volume of the 45 cylindrical plates.

Volume of a cuboid = 45×volume of a cylinder

lwh = 45×πr²h..................... Equation 1

Where l = length of the rectangular piece of metal, w = width of the rectangular piece of metal, h = height of the rectangular piece of metal, r = radius of the cylindrical plates, h = thickness of the cylindrical plates.

make h the subject of the equation

h = lwh/(45πr²).................... Equation 2

Given: l = 12 cm, w = 18 cm, h = 10 cm. r = 1.2 cm

Constant: π = 3.142.

Substitute these values into equation 2

h = (12×18×10)/(45×3.142×1.2²)

h = 2160/203.60

h = 10.61 cm.

Answer:

The first one is mean absolute deviation and the second one is did not improve

Step-by-step explanation:

I took the test

The MAD is greater for this year’s 100-meter dash, which suggests that all 30 students did not improve equally.

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

The given table is:

                  Mean     MAD

Last Year    16.2 s     1.2

This Year    14.7 s      1.9

Looking at this table we can see that this year, the meantime is smaller than the one from last year, so the runners are faster on average.

The mean absolute deviation is bigger, but the change in the mean is bigger.

difference of the mean   16.2 - 14.7 = 1.5

difference of the MAD  1.9 - 1.2 = 0.7

This means that the average speed of the runners increased since last year,

and the fact that the MAD increased means that not all the runners increased their speed at the same rate, so now the speeds of the different runners are not as alike as last year.

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Answer: yes

Step-by-step explanation:

Answer:

w 2 x 6

Step-by-step explanation:

Answer:

Well, since your question is asking how to simplify and not the actual answer itself, all we have to do is first simplify 7^6=117,649. Now we just take that number and make it 117,649^2. I hope im correct with the way i set up the equation even though the number is absurdly large

Step-by-step explanation:

Answer: (7⁶)² = 7¹²

Step-by-step explanation:

All you have to do is multiply the exponents here and keep the 7. So, your final answer is 7¹².

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Answer:

175 miles

Step-by-step explanation:

3.5 has 2 miles in it so it has 100 then it has another 1 to make It 3 and half of 2 is ahh it's hard to explain but there's the anwser

Answer:

The average yearly drop in enrollment is 12.

Step-by-step explanation:

The average refers to the central value in a group of numbers and with the information provided, you can find the average by dividing the number of students that dropped out of the school by the number of years over which that ocurred:

number of students= 60

number of years= 5

60/5=12

According to this, the answer is that the average yearly drop in enrollment is 12.

Answer:

8

Step-by-step explanation:

Answer:

The answer is 48.12, I didn't used calculator

Answer: [tex]432\ in.^3[/tex]

Step-by-step explanation:

Given

The dimension of a rectangular prism is [tex]12\times 6\times 10\ in.^3[/tex]

Water is filled [tex]4\ in.[/tex] from the top i.e. [tex]10-4=6\ in.[/tex] high

base area for the water is the same i.e.  [tex]12\ in.\times 6\ in.[/tex]

The volume of rectangular prism is [tex]l\times b\times h[/tex]

The volume of water in the vase is given by

[tex]\Rightarrow V=12\times 6\times 6=432\ in.^3[/tex]

Answer:

just do the exam

Step-by-step explanation:

Answer:

173,949 lb

Step-by-step explanation:

Volume of a sphere:

[tex] V_{sphere} = \dfrac{4}{3}\pi r^3 [/tex]

A hemisphere is half of a sphere, so its volume is half of the volume of a sphere with the same diameter. Also, radius = diameter/2.

[tex] V_{hemisphere} = \dfrac{2}{3}\pi (\dfrac{d}{2})^3 [/tex]

[tex] V_{hemisphere} = \dfrac{2}{3} \times 3.14159 \times (\dfrac{22~ft}{2})^3 [/tex]

[tex] V_{hemisphere} = 2787.639~ft^3 [/tex]

Now we use the density of water to find the weight of the water contained in the tank.

weight = volume * density

weight = 2787.639 ft^3 * 62.4 lb/ft^3

weight = 173,949 lb

Answer:

1/3

Step-by-step explanation:

120/360 = 12/36 = 2/6 = 1/3

Answer:

283

Step-by-step explanation:

Answer:

hahaha

Step-by-step explanation:

you said that you will give brainliest to the first person to answer not the first person to get it right

Answer:

9x/4 + 30 + 5x/4

Step-by-step explanation:

[tex]9x/4 +30 +5x/5[/tex]

The simplification of the expression (9/4x + 6) - (- 5/4x - 24) will be 3.5x + 30.

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The expression is given below.

⇒ (9/4x + 6) - (- 5/4x - 24)

Simplify the expression, then we have

⇒ (9/4x + 6) - (- 5/4x - 24)

⇒ (9/4)x + 6 + (5/4)x + 24

⇒ (14/4)x + 30

⇒ 3.5x + 30

The simplification of the expression (9/4x + 6) - (- 5/4x - 24) will be 3.5x + 30.

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Answer:

A=P×(1+r÷100)t

A=3000×108÷100×108÷100

A=17496÷2

A=3499.2

Step-by-step explanation:

Answer:

C.

Step-by-step explanation:

4 to the power of 2 is 16

6 to the power of 2 is 36

Add them up and it's 52

10 the power of 2 is 100

100 does not equal 52 so therefore it is not a right triangle

Answer:

16 boys

Step-by-step explanation:

Lets go with easy example:

20% of 100 students means 20 students: what is done there

[tex]\frac{20}{100}*100=20[/tex]

Lets do the same with 80 students as well

[tex]\frac{20}{100}*80=16[/tex]

Answer:

16

Step-by-step explanation:

[tex]\frac{20}{100} x \frac{x}{80} =16[/tex]

or do

80 x 0.20=16

both works

Answer: um..

Step-by-step explanation:

Answer:

arc LM = 119°

Step-by-step explanation:

KL = LM

arc KL = arc LM

2(arc LM) = 360° - 122° = 238°

arc LM = 119°

Answer: 6b+7n+5y+11

Good luck!

Answer:

1/ 125

Step-by-step explanation:

Answer:

Step-by-step explanation:

(53)−3. First, distribute the -3 in the exponent to the numerator and the denominator. (5−33−3) Because both of the exponents are negative=(35)3=27125

Answer:

Rounded to the nearest dollar, Bob saved $677 by buying the carpet on Wednesday.

Step-by-step explanation:

Since on Tuesday, Bob brought home an oriental carpet on approval and the price in the store was 9900 Turkish Lira, but Bob was going to pay in dollars and, on Tuesday, one dollar was worth 4.5 Turkish Lira but on Wednesday, the Turkish Lira was devalued such that one dollar was now worth 6.5 Turkish Lira, with which Bob then bought the rug on Wednesday, paying the price of 9900 Turkish Lira with dollars at the new rate, to determine to the nearest dollar, how much did he save due to the devaluation the following calculation must be performed:

(9,900 / 4.5) - (9,900 / 6.5) = X

2,200 - 1,523.07 = X

676.92 = X

So, rounded to the nearest dollar, Bob saved $ 677 by buying the carpet on Wednesday.

Answer:

B

Step-by-step explanation:

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Factoring ac + ad + bc + bd by grouping gives (a + b)(c + d)

An equation is an expression that shows the relationship between two or more numbers and variables.

Factorization by grouping means grouping the terms with common factors before factoring.

Given the equation:

ac + ad + bc + bd

Factorizing by grouping:

= a(c + d) + b(c + d)

= (a + b)(c + d)

Factoring ac + ad + bc + bd by grouping gives (a + b)(c + d)

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