The quadratic function
d=-9x² + 40 models a
skateboarder's distance, in
feet, from the bottom of a hill
x seconds after the skateboarder
starts moving down the hill.
After how many seconds is the
skateboarder 4 ft from the
bottom of the hill?

A) 3s B) 4s C) 2s D) 3.5s

Please help!! Also if you could explain that would be great! Tysm!

Answers

Answer 1

Answer:

C

Step-by-step explanation:

equate d to 4 and solve for t , that is

- 9x² + 40 = 4 ( subtract 40 from both sides )

- 9x² = - 36 ( divide both sides by - 9 )

x² = 4 ( take square root of both sides )

x = [tex]\sqrt{4}[/tex] = 2

It takes 2 seconds for the skateboarder to be 4m from bottom of hill


Related Questions

Book on Language made From Pi or π

Answers

Answer:

Step-by-step explanation:

The angle of elevation to a nearby tree from a point on the ground is measured to be 54^{\circ} ∘ . How tall is the tree if the point on the ground is 89 feet from the tree? Round your answer to the nearest hundredth of a foot if necessary.

Answers

The height of the tree to the nearest hundredth is 122.49 feet

Application of SOH CAH TOA

These are used to determine the sides and angle of a right triangle

Given

Angle of elevation= 54 degrees

Base distance = 89 feet

Required

Height of tree

Using the SOH CAH TOA

tan 54 = H/89

H = 89tan54

H = 122.49

Hence the height of the tree to the nearest hundredth is 122.49 feet

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how do i solve 8(2-6v) + 19 = -61

Answers

Answer:

v=2

Step-by-step explanation:

Which organisms reproduce through a...se...xu...al reproduction? (Select all that apply.)
starfish


yeast


fungi


bacteria

PICK MORE THAN ONE and no links please 1+1

Answers

Answer:

bacteria and fungi

Step-by-step explanation:

Single organism makes an exact copy of itself

Bacteria, some plants and fungi, few animals (sponges)

Offspring are identical to parent

3^x+3^x =54 what's the value of x ?​

Answers

Answer:

x = 3

Step-by-step explanation:

if you need an explanation let me know

Answer:

x = 3

Step-by-step explanation:

Given:

[tex] \implies \rm 3 {}^{x} + {3}^{x} = 54[/tex]

To Find:

Value of x

Solution:

We could re-write 3^x+3^x as:

[We factored here]

[tex] \implies \: 2(3 {}^{x} ) = 54[/tex]

Divide both sides by 2

[tex] \implies \cfrac{2(3 {}^{x}) }{2} = \cfrac{54}{2} [/tex]

[tex] \implies \: 3 {}^{x} = 27[/tex]

Take logarithm on both sides

[tex] \implies \: \log(3 {}^{x} ) = \log(27)[/tex]

[tex] \implies \: x \times \log(3) = \rm \: log \: (27)[/tex]

[tex] \implies \: x = \cfrac{ \log(27)}{ \log \:(3)} [/tex]

[tex] \implies \boxed{x = 3}[/tex]

Hence, x = 3 .


What is the force, in N, when a pressure of 22 N/m² is exerted on an area of 750 cm²?

Answers

Answer:

1.65 N

Step-by-step explanation:

Step 1: convert cm^2 to m^2

1 cm^2 = 0.0001 m^2

750 cm^2 = 0.075 m^2

Step 2: multiply pressure by area

F = P*A = 22 N/m^2 * 0.075 m^2 = 1.65 N

The first term of a geometric sequence is 2, and the 4th term is 250. Find the 2 terms between the first and the 4th term.

Answers

Answer:

second term: 10

third term: 50

Step-by-step explanation:

The equation for any geometric sequence is [tex]a_{n} = a_{1} *r^{n-1}[/tex] where n is the term number you want to find, [tex]a_{1}[/tex] is the first term in the sequence, and [tex]r[/tex] is the common ratio. The equation for this sequence specifically uses 5 as its common ratio, so the equation is [tex]a_{n} =2*5^{n-1}[/tex]

[tex]a_{1} = 2*5^{1-1}=2*5^{0} =2*1=2[/tex]

[tex]a_{2} = 2*5^{2-1}=2*5^{1} =2*5=10[/tex]

[tex]a_{3} = 2*5^{3-1}=2*5^{2} =2*25=50[/tex]

[tex]a_{4} = 2*5^{4-1}=2*5^{3} =2*125=250[/tex]

2-53. a message is released at 1930 hours greenwich mean time on 2 january 1991. what is the correctly stated date-time group (dtg) assigned to the me

Answers

Step-by-step explanation:

. In Figure 5.144, of ΔABC, where

m(∠C) = 30, m(∠ABD) = 5x,

m(∠A) = 4x. Find m(∠ABC) in

degrees.

Lindsay sketches a right triangle with lengths f, g, and h as shown. She uses the Pythagorean Theorem to write the equation f2 + g2 = h2 to represent the triangle. How can Lindsay correct her error? Explain your reasoning.

Answers

Answer:

hope you can understand

Consider a circle whose equation is x2 + y2 – 2x – 8 = 0. Which statements are true? Select three options.

Answers

Answer:

Step-by-step explanation:

some one please help me slove this I can't figure it out I will give Brainliest answer to who ever answer frist... ​

Answers

keeping in mind that twin sides stemming from a common vertex make twin angles at the "base", Check the picture below.

help me, please i need your help

Answers

The answer to each question in the image is given below:

y - 0.32y  =  0.68yy + 0.32y  =  1.32yy +  [tex]\frac{2}{5}[/tex]y   =  [tex]\frac{7}{5}y[/tex]y - [tex]\frac{2}{5}y[/tex]  =  [tex]\frac{3}{5}y[/tex]  

Meaning of equivalent equations.

An equivalent equation can be defined as an equation that has the same meaning and also has the same answer with another equation or with an equation it is said to be equivalent with.

The above equation are equivalent to each other meaning they can be used to derive each other.

In conclusion, the list above is the right pairs of equivalent equations.

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Peter takes 7 minutes and 30 seconds to run 1 mile. How many miles can he run in 15 minutes?
miles

Answers

Answer:

2 miles

Step-by-step explanation:

Peter takes 7 minutes and 30 seconds per mile.

7 times 2 is 14 minutes.

30 seconds times 2 is 1 minute.

If you add these 2 values together you get 15 minutes.

So we need to times the miles by 2 to get 2 miles.

I hope this helps, have a lovely day.

Find the period and amplitude of the function.
y=5cos2O

Answers

Answer:

period pi and amplitude 5

A tub of water is emptied at a rate of 3 gallons per minute. The equation y –12 = –3(x – 1) models the amount of water remaining, where x is time (in minutes) and y is the amount of water left (in gallons). Analyze the work shown below to determine the initial amount of water.

1. Solve for the y-variable.

y – 12 = –3(x – 1)

y – 12 = –3x + 3

y = –3x +15

2. Write the equation using function notation.

f(x) = –3x +15

The tub started with
gallons of water.

Answers

The initial amount of the water is 15 gallons

Linear functions

These are functions that has a leading degree of 1. Given the equation that represents the amount of water remaining after x minutes;

y - 12 = -3(x- 1)

y -12 = -3x + 3

y = -3x +3 + 12

y = -3x + 15

In order to determine the initial amount of water, we will substitute x =0 into the function

y = -3(0) + 15

y = 15

Hence the initial amount of the water is 15 gallons

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Answer:

15

Step-by-step explanation:

simplify 4^(3)*4^(5)


A. 16^8

B. 4^8

C. 4^15

D. 16 * 15

Answers

Answer:

B. 4^8

Step-by-step explanation:

The indices of the base 4 can be added while multiplying i.e. 3+5=8 but the base remains the same.

Answer:

B

Step-by-step explanation:

Because in powers we just add so it will be 4^3+5

=4^8

Solve for x.
x/12 = -4​

Answers

Answer:

[tex] \frac{x}{12} = - 4[/tex]

[tex] \frac{x}{12} = \frac { - 4}{1} [/tex]

[tex]x \times 1 = 12 \times - 4[/tex]

[tex]x = - 48[/tex]

value of x is -48

Answer:

x=-48.

Step-by-step explanation:

To find x we should multiply both sides, by 12:

[tex]\sf \cfrac{x}{12}\times12=\-4\times12[/tex]

                                       ↪

The 12s cancel on the left:

[tex]x=-4\times12[/tex]

After multiplying we obtain [tex]\sf x=-48[/tex]. Which is our answer.

Hope that this helped you! Have a good day ahead.

Best Wishes!

[tex]\star\bigstar\underline{\underline{\overline{\overline{\text{Reach far. Aim high. Dream big.}}}}}\bigstar\star[/tex]

◆◆-Greetings!-◈◈

--

Combine the like terms to create an equivalent expression:−3z−z

Answers

Answer:

-4z

Step-by-step explanation:

Hi student! Let me help you out.

_____________________

Note that, -3z and -z are like terms. This means we can combine them right off the bat, which gives us [tex]\mathrm{-4z}[/tex].

[tex]\mathrm{-3z-z=-4z}[/tex]. -4z is our final answer.

Hope that this helped you! have a good day ahead.

Best Wishes!

[tex]\star\bigstar\underline{\underline{\overline{\overline{\textsf{Reach far. AIm high. Dream big.}}}}}\bigstar\star[/tex]

◈◈-Greetings!-◆◆

___________________

Answer:

-4z

Step-by-step explanation:

-3z-z

On combining like terms,

= -4z

Here,the terms are -3z and -z, where - and - combines and + is the result,so we need to add the expression.

Whoever answers correctly gets BRAINLIESTand 100 points

A rectangular prism with a length of 3.8 meters and a width of 1.5 meters has a volume of 16.53 cubic meters.

What is the height of the prism?

2.9 m

6.525 m

11.23 m

21.83 m

Answers

Answer:

2.9 meters.

Step-by-step explanation:

First we multiply the length, 3.8, by the width, 1.5, to get the base, 5.7 (this step is not entirely necessary, but makes it much easier).  Then we divide the volume, 16.53, by the base, 5.7, to get the height, 2.9 meters.

Answer:

i think its 21.83 i may be wrong but im pretty sure its 21.83

Step-by-step explanation:

Explain why cos(−3π4)=cos(5π4).

Answers

Answer:

See below

Step-by-step explanation:

Think about what happens when you rotate around a circle [tex]-\frac{3\pi}{4}[/tex] radians. This means that you are going clockwise [tex]-\frac{3\pi}{4}[/tex] radians.

Likewise, if you went [tex]\frac{5\pi}{4}[/tex] radians counterclockwise, you'd end up in the same place, so the cosine values must be the same.

To remain healthy, a person needs at least 8 hours of sleep. A company wants to know if their employees get enough sleep. A random sample of 24 employees revealed that the average number of hours of sleep an employee gets is 6.7 with standard deviation of 2.3. What should be the test statistic?

Answers

Answer:

how many hours a week the employees are working?

Step-by-step explanation:

I could be wrong but that's my fault if it's wrong sorry

Andre took 6 kicks and made 4 goals: 4/6
Tom wants to take more than 20 kicks and make an equivalent fraction to Andre.
what are two possible fractions of goals Tom can make

Answers

I believe it’s 16/24 and 20/30

what is the value of the digit 5in the number 734.95?​

Answers

Answer:

0.05

explanation

value means total value

so it's 5*0.01

=0.05

If a rectangle’s perimeter is 86 units and the width is 15 units, what is the length in units?

Answers

Answer:

I think the answer would be 28

can i have help with this

Answers

Answer:

x^32

Step-by-step explanation:

A fraction bar is a division symbol. When you are dividing, you can subtract the exponents.

x^56 / x^24

= x ^ (56-24)

= x^32

Answer:

x^32

Step-by-step explanation:

a^m/a^n = a^(m-n)

so, x^56/x^24 = x^(56-24) = x^32

-286 divided by 457.6

Answers

-286/457.6 = -5/8 = -0.625

The table below shows the value of Henry's car at the end for each of the first 3 years after it is purchased. The values form a geometric
sequence.
Year
Value
dollars)
18000
116200
14580
(in
What will be the approximate value of the car at the end of the 10th year?
O
A. $6,974
B. $8,610
C. $11,810
D. $7,748

Answers

Using a geometric sequence, it is found that the approximate value of the car at the end of the 10th year will be given by:

A. $6,974.

What is a geometric sequence?

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

[tex]a_n = a_1q^{n-1}[/tex]

In which [tex]a_1[/tex] is the first term.

In this problem, the first term and the common ratio are given, respectively, by:

[tex]a_1 = 18000, q = \frac{16200}{18000} = 0.9[/tex]

Hence the equation is:

[tex]a_n = 18000(0.9)^{n-1}[/tex]

At the end of the 10th year, the value will be of:

[tex]a_{10} = 18000(0.9)^{10-1} = 6974[/tex]

Hence option A is correct.

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Please help Fast! Need answer by 1:00 pm

Answers

Answer is 30

Multiply top of bottom of each fraction to get 30 on the bottom

So 2m/5•6 and 2m/6•5

A restaurant bill is £132
A 10% service charge is included in the bill.
How much is the service charge?

Answers

Answer:

1.1x= 132

Step-by-step explanation:

Which equations represent circles that have a diameter of 12 units and a center that lies on the y-axis? Select two options.

x2 + (y – 3)2 = 36
x2 + (y – 5)2 = 6
(x – 4)² + y² = 36
(x + 6)² + y² = 144
x2 + (y + 8)2 = 36

Answers

A correct answer is option A which is x² + (y – 3)² = 36 is the equation of the circle that has a diameter of 12 units and a center that lies on the y-axis.

What is a circle?

A circle is a two-dimensional geometry on the plane having a center point and the circular line is drawn equidistant from the center point.

The general form of the equation of a circle is given as:-

( x - h )² + ( y - k )² = r²

By comparing the given equation we can see the following results:-

x² + (y – 3)² = 36

( x - ( 0 ))² + ( y - 3 )² = 6²

We can see that the coordinate of the center are ( 0, 3 ) and the radius is 6 so the diameter is 12.

Therefore the correct answer is option A which is x² + (y – 3)² = 36 is the equation of the circle that has a diameter of 12 units and a center that lies on the y-axis.

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Answer:

A and E (first and last, ending in "=36")

x2 + (y – 3)2 = 36

x2 + (y + 8)2 = 36

Step-by-step explanation:

just took the quiz

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