3. The height in feet of a thrown football is modeled by the equation
f(t) = 6 + 30t – 16t?, where time t is measured in seconds.
a. What does the constant 6 mean in this situation?
b. What does the 30t mean in this situation?
c. How do you think the squared term - 16t2 affects the value of the function f?
What does this term reveal about the situation?

If h⁻¹(x) is the inverse of h(x), then by definition of inverse function,

h(h⁻¹(x)) = x

Given that h(x) = 6∛(2x + 5) - 1, we have

h(h⁻¹(x)) = 6∛(2 h⁻¹(x) + 5) - 1 = x

Solve for h⁻¹(x) :

6∛(2 h⁻¹(x) + 5) - 1 = x

6∛(2 h⁻¹(x) + 5) = x + 1

∛(2 h⁻¹(x) + 5) = (x + 1)/6

[∛(2 h⁻¹(x) + 5)]³ = [(x + 1)/6]³

2 h⁻¹(x) + 5 = (x + 1)³/216

2 h⁻¹(x) = (x + 1)³/216 - 5

h⁻¹(x) = (x + 1)³/432 - 5/2

Answer:

Trigonometric functions are used in obtaining unknown angles and distances from known or measured angles in geometric figures. Trigonometry developed from a need to compute angles and distances in such fields as astronomy, mapmaking, surveying, and artillery range finding.

Answer:

.5357

Step-by-step explanation:

Follow PEMDAS

Multiplication (M) comes before division (D)

Therefore, solve the multiplication expressions first:

2 * 3 * 5 = 30

and

7 * 8 = 56

Now Division:

30 / 56 = .5357

The percentage of youth that are category 10 to 12 is the quotient of  their frequency to the total frequency

55% of the actors are 10 to 12 years old

From the complete question, we have the following parameters

The percentage of youth in the age category 10 - 12 is then calculated as:

Percentage = Frequency of age category 10 - 12/Total frequency

This gives

Percentage = 22/40

Evaluate the quotient

Percentage = 55%

Hence, 55% of the actors are 10 to 12 years old

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Answer:

30

Step-by-step explanation:

You can do 36*100=3600 and do 3600/120. This is a very simple way to get 30 out of 100

Answer: $30

Step-by-step explanation: If she saves $36 when she earns $120, then she saves *amount =36/120 ×100

Amount saved with $100 earning is $30

Answer:

sorry i'm having an exam and its rlly hard so i'm looking for answers myself

Step-by-step explanation:

...

hope it helps

the answer is

0.62% of the adult pandas weight over 250 pounds

Z score is used to determine by how many standard deviations the raw score is above or below the mean. It is given by:

z = (raw score - mean)  / standard deviation

Given mean of 200 pounds and a standard deviation of 20 pounds.

For x > 250 pounds:

z = (250 - 200) / 20 = 2.5

P(z > 2.5) = 1 - P(z < 2.5) = 1 - 0.9938 = 0.62%

0.62% of the adult pandas weight over 250 pounds

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The best description of the resulting three-dimensional figure when the considered figure is revolved is: A cylinder with height 24 cm.

When a figure is revolved around some fixed axis, the whole three dimensional solid formed from the area that it swaps out is called solid of revolution.

Since no image is specified, we will work on the image attached below.

We can visualize and imagine that the horizontal line is still and just rotating on its place. The rectangle will revolve around, and therefore will swap out a cylindrical shape.

Since the length of the rectangle is 24 cm, and it is rotated on its length, so that will serve as height of the formed cylinder.

Thus, the best description of the resulting three-dimensional figure when the considered figure is revolved is: A cylinder with height 24 cm.

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Answer:

No 9.

[tex]120 \: \times \frac{5}{100} [/tex]

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

If there is only ONE output for each INPUT it can be a function

From top

Y   N  Y Y N Y

b) look at the second one  

      put in 30   days   out put = april jun aug nov    one input 4 outputs

          so it is not a function

Answer:

325 or 325/1

Step-by-step explanation:

The formula for slope is:

y1 - y2/x1 - x2

Plugging the numbers in gives you:

40 - 690/0-2

Do subtraction first:

-650/-2

Two negatives make a positive and simplifying the fraction gives you:

325 or 325/1

Whichever makes you happier

(Also, remember that slope is rise/run, which is why it is y/x not the other way around(When graphing you go left/right then up/down))

Hope this helps you :)

Answer:

C.

Step-by-step explanation:

Hope this helped!

Answer:

u didnt put the anwsers but its 80% percent now can i have brainliest pls ty

Step-by-step explanation:

From the calculations, the number of whole trees that can be sold at $75,000 is 21 trees.

Density is defined a the mass per unit volume. Now we have the following;

Diameter = 50 cm or 0.5 m

height = 10 meters

volume = ?

Density of the cylinder = 380 Kg/m^3

Now;

We can get the volume from;

V = πr^2h

V = 3.142 * (0.5/2)^2 * 10

V = 1.96m^3

From;

D = m/V

m = DV

m = 1.96m^3 * 380 Kg/m^3

m = 744.8 Kg

If 1 Kg of wood is sold at $4. 75

744.8 Kg is sold at 744.8 Kg  *  $4. 75/  1 Kg

= $3537.8

Number of whole trees to be sold at $75,000=  $75,000/$3537.8

= 21 trees

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Answer:

I got x= 57 degree

Step-by-step explanation:

Steps in the photo-

Answer:

57 degree

Step-by-step explanation:

Like what he said.

Answer:

See below

Step-by-step explanation:

Circumference = pi * d =  18 pi inches

Area = pi r^2     = pi * 9^2 = 81 pi  in^2

The data in the table is an illustration of a quadratic equation, and the quadratic equation that models the data is (d) y = -0.15x² + 2x + 5.5

A quadratic model is represented as:

y = ax² + bx + c

Using the point (x,y) = (0,5.5);

We have:

a(0)² + b(0) + c = 5.5

This gives

c = 5.5

Substitute c = 5.5 in y = ax² + bx + c

y = ax² + bx + 5.5

Using the point (x,y) = (1,7.35);

We have:

a(1)² + b(1) + 5.5 = 7.35

This gives

a + b + 5.5 = 7.35

Subtract 5.5 from both sides

a + b = 1.85

Using the point (x,y) = (2, 8.9);

We have:

a(2)² + b(2) + 5.5 = 8.9

This gives

4a + 2b + 5.5 = 8.9

Subtract 5.5 from both sides

4a + 2b = 3.4

Divide through by 2

2a + b = 1.7

Subtract a + b = 1.85 from 2a + b = 1.7

2a - a + b - b = 1.7 - 1.85

This gives

a = -0.15

Substitute a = -0.15 in 2a + b = 1.7

-2 * 0.15 + b = 1.7

This gives

-0.3 + b = 1.7

Add 0.3 to both sides

b = 2

Substitute a = -0.15 and b = 2 in y = ax² + bx + 5.5

y = -0.15x² + 2x + 5.5

Hence, the quadratic equation that models the data in the table is (d) y = -0.15x² + 2x + 5.5

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#SPJ1

Answer:

Step-by-step explanation:

Let the required number be 'n'.

Then, we need to find what the value of n is.

According to the question,

Multiply both sides by 1/7.

Answer: Answer:  Third option is correct.

Step-by-step explanation: Step-by-step explanation:

Since we have given that

Number of heads = 56

Number of tails = 44

Total number of flips = 100

So, Probability of getting head is given by

Theoretical probability of getting head is given by

There is a difference of

0.54-0.50=0.04 = 4%

Hence, the experimental probability is 4% higher than the theoretical probability.

Therefore, Third option is correct.

Answer:

The experimental probability is 4% lower than the theoretical probability.

Step-by-step explanation:

because i took this before and got it right

#b

Attached

#a

So

General equation of parabola

let's note the changes

Answer:

Transformation of f(x) to g(x):

(see attachment for graphs)

Step-by-step explanation:

Translations

For a > 0

[tex]f(x+a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units left}[/tex]

[tex]f(x-a) \implies f(x) \: \textsf{translated}\:a\:\textsf{units right}[/tex]

[tex]f(x)+a \implies f(x) \: \textsf{translated}\:a\:\textsf{units up}[/tex]

[tex]f(x)-a \implies f(x) \: \textsf{translated}\:a\:\textsf{units down}[/tex]

[tex]y=a\!\:f(x) \implies f(x) \: \textsf{stretched parallel to the y-axis (vertically) by a factor of}\:a[/tex]

[tex]y=f(ax) \implies f(x) \: \textsf{stretched parallel to the x-axis (horizontally) by a factor of} \: \dfrac{1}{a}[/tex]

Parent function:

[tex]f(x)=x^2[/tex]

Translated 2 units to the right:

[tex]\implies f(x-2)=(x-2)^2[/tex]

Stretched vertically by a factor of 2:

[tex]\implies 2f(x-2)=2(x-2)^2[/tex]

Translated 1 unit up:

[tex]\implies 2f(x-2)+1=2(x-2)^2+1[/tex]

Therefore, the transformation of f(x) to g(x) is:

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Answer:

3 hope it helps

2

Hope it helps.

Do comment if you have any query.

[tex]\huge\color{pink}\boxed{\colorbox{Black}{♔︎Answer♔︎}}[/tex]

C

Answer: C. The interquartile range of the distances for the bus drivers is 5 miles less than the interquartile range of the distances for the teachers.

well, if its base has a diameter of 12, that means its radius is half that, or 6.

[tex]\textit{volume of a cone}\\\\ V=\cfrac{\pi r^2 h}{3}~~ \begin{cases} r=radius\\ h=height\\[-0.5em] \hrulefill\\ r=6\\ V=1086 \end{cases}\implies 1086=\cfrac{\pi (6)^2 h}{3}\implies 3528=36\pi h \\\\\\ \cfrac{3528}{36\pi }=h\implies 31.19\approx h[/tex]

Answer:

Step-by-step explanation:

If triangle equilateral, then h = 3 × 4√3 = 12√3

If side of triangle is "x" , then length of the base is

x² - ( [tex]\frac{x}{2}[/tex] )² = ( 4√3 )²

4x² - x² = 192

x² = 64

x = 8

[tex]A_{triangle}[/tex] = 8 × 12√3 = 96√3

Answer:

x = -0.8

Step-by-step explanation:

-25x - 2 = 18
-25x -2 - 2 = 18 - 2
-25x = 16
-25x/-25 = 16/-25
x = -0.8

Answer:x=4/5

Step-by-step explanation: First you add two to both sides to cancel out the -2.Next you simplify and add the numbers.Finally, you divide both sides and simplify.

Using proportions, it is found that since 43% of the total amount is 129, 300 students were surveyed in total.

A proportion is a fraction of a total amount.

In this problem, since 57% of the students surveyed said their favorite color was blue, hence 100 - 57 = 43% said it was red, and this amount is of 129 students, hence:

0.43n = 129

n = 129/0.43.

n = 300.

300 students were surveyed in total.

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