30 POINTS


The equation h= -161 + 56t models the height h, in feet, of a golf ball t seconds after it was hit. Find the values of t for which h = 0. Explain the meaning of the solutions.

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]

Answer:

L = 5a + 2

Step-by-step explanation:

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:

6x-10

Step-by-step explanation:

2(3x-5)

2*3x   2*-5

6x-10

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.

Learn more about the period of the function here;

https://brainly.com/question/4599903

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.

Answer: the answer will be a

Step-by-step explanation:

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Let's solve your equation step-by-step.

4x + x + 5 − 9 + x = −3 − 7 + x

Step 1: Simplify both sides of the equation.

4x + x + 5 − 9 + x = −3 − 7 + x

4x + x + 5 + −9 + x = −3 + −7 + x

( 4x + x + x ) + ( 5 + −9 ) = ( x ) + ( −3 + −7 )

( Combine Like Terms )

6x + −4 = x + −10

6x − 4 = x − 10

Step 2: Subtract x from both sides.

6x − 4 − x = x − 10 − x

5x − 4 = −10

Step 3: Add 4 to both sides.

5x − 4 + 4 = −10 + 4

5x = −6

Step 4: Divide both sides by 5.

5x / 5 = −6 / 5

x= −6 / 5

Answer:

x= −6 / 5

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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.

More about the simplification link is given below.

https://brainly.com/question/12616840

#SPJ2

Answer:

A=P×(1+r÷100)t

A=3000×108÷100×108÷100

A=17496÷2

A=3499.2

Step-by-step explanation:

Answer: um..

Step-by-step explanation:

Answer:

The answer is 48.12, I didn't used calculator

Answer:

w 2 x 6

Step-by-step explanation:

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:

13.8

Step-by-step explanation:

tan Q = opposite    =     40

            adjacent             x

Tan 71  = 40               x tan 71 = 40

  x tan 71  =    40  

     tan 71      tan 71

x =  40   = 13.7731 = 13.8 (rounded to the nearest tenth)

     tan 71

Answer:

$93.75

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: [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 to this question is 3001pi

Answer:

8

Step-by-step explanation:

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer = 4

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Answer:C

Step-by-step explanation:

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

Answer:

283

Step-by-step explanation:

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

Good luck!

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:

56 degrees

Step-by-step explanation:

Hello there!

Remember the sum of the angles in a triangle is equal to 180

so to find the missing angle we subtract the given angles from 180

180 - 34 - 90 = 56

so we can conclude that the measure of the missing angle is 56 degrees

Note: the little square at the bottom left of the triangle indicates that the angle is a right angle. The measure of a right angle is 90 degrees so thats where the 90 came from

Answer:

hope it help you

Answer: yes

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

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

Answer:

arc LM = 119°

Step-by-step explanation:

KL = LM

arc KL = arc LM

2(arc LM) = 360° - 122° = 238°

arc LM = 119°

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.