The drop that rider's experience on Dr. Doom's Free Fall can be modeled by the quadratic function LaTeX: h\left(t\right)=-9.8t^2-5t+39h ( t ) = − 9.8 t 2 − 5 t + 39 where h is height in meters and t in time in seconds. What is the starting height of the riders?

Answers

Answer 1

Answer:

The starting height of the raiders is 39 meters.

Step-by-step explanation:

Physically speaking, a free fall motion is an uniformly accelerated motion due to gravity. Mathematically, speaking the equation of motion for the height of an object under free fall is a second order polynomial (quadratic function).

Let [tex]h(t) = -9.8\cdot t^{2}-5\cdot t + 39[/tex] be the height of the riders, in meters, the starting height is the height evaluated at [tex]t = 0\,s.[/tex] Hence, we proceed to the determined the required data by direct evaluation:

[tex]h(0) = -9.8\cdot (0)^{2}-5\cdot (0) +39[/tex]

[tex]h(0) = 39[/tex]

The starting height of the raiders is 39 meters above the ground.


Related Questions

Tara is the costume manager for a large theater company she has 15 different hats, including 6 berets what’s is the probability that a randomly chosen hat from taras inventory will be a berets

Answers

Answer:

2/5

Step-by-step explanation:

probability it is  a beret = total number of berets / total number of hats

6/15

To transform to the simplest form. divide both the numerator and the denominator by 3

2/5

PLZZZZ HELP RN ASAPPP

Answers

Answer:

mean=21, median= 14

Step-by-step explanation:

I hope this helps.

Answer:

Median = 14

Mean = 20

Step By Step Explanation:

HELP PLZ ILL MAKE BRAINLIEST AND GIVE ALOT OF POINTS-

Answers

Answer:

d = - [tex]\frac{9}{13}[/tex]

Step-by-step explanation:

Given

13d + 8 = - 1 ( subtract 8 from both sides )

13d = - 9 ( divide both sides by 13 )

d = - [tex]\frac{9}{13}[/tex]

Answer:

d = -9/13

Step-by-step explanation:

Given ,

13d + 8 = -1

=> 13d = -1 - 8

=> 13d = -9

[tex] = > d = \frac{ - 9}{13} [/tex]

Hence,

The value of d = -9/13 (Ans)

Every summer I drive to San Diego. It is 700 km to get there. If I average 100 km/hr, how much time will I spend driving?

Answers

Answer: 7 hours

Step-by-step explanation: Driving one kilometer per hour, all you have to do is divide 700/100 to get your answer which is seven.

Write the log equation as an exponential equation. You do not need to solve for x.
log(x+2) (4x) = 3x + 2

Please answer ASAP

Answers

Answer:

Step-by-step explanation:

(2x) (4x)= 8x = 3x+2

i think but i dont know if this is an exponential equation

y'all I'm crying...help ​

Answers

Answer:

Below in bold.

Step-by-step explanation:

C1 = 180 - C2

= 180 -  (170-2x)

= 10 + 2x

So B3 = 10+2x (alternate angles).

and B2 = 90 - B3

= 90 - (10 + 2x)

= 80 - 2x.

What are the solution(s) of -1/2X+4= X+ 1?

O-1 and 8
О 1 and 4
O 2
O 3

Answers

Answer:

X = 2

Step-by-step explanation:

-1/2X+4= X+ 1

Add 1/2X to each side

-1/2X+ 1/2 X+4= X+ 1 + 1/2 X

4 = 3/2 X +1

Subtract 1 from each side

4-1 = 3/2 X +1-1

3 = 3/2 X

Multiply each side by 2/3 to isolate x

3 * 2/3 = 3/2 X * 2/3

2 =X

What is the equation of line AB if A(0,5) and B(5,25)?​

Answers

Answer:

y=4x+5

Step-by-step explanation:

hey, hope this helps and is right :)

Does it matter which equation you use to plug the value of y into?
Yes or No

Answers

Answer:

Nope, as long as the y value is correct it won´t matter in the slightest.

Step-by-step explanation:

Hope this helps! Have an Amazing day!!

Step-by-step explanation:

No we can use x in the equation.

<1 and <2 are complementary angles.the measure of <1 is 10
the Measure of <2 is 4c

Answers

Answer:

c = 20

Step-by-step explanation:

You have not really asked a question.

I will assume you are asking about the value of c.

The measure of angle 1 is 10 (assuming degrees!), so the measure of angle 2 is 80.  (Complementary angles have measures that sum to 90.)

The measure of angle 2 is also described as 4c, so 4c = 80.  That makes c = 20.

What type of polynomial is this? 6x + 3​

Answers

Answer:

Binomial

Step-by-step explanation:

A binomial has two terms. Each term consists of a coefficient, and a variable with an exponent. We can see the two terms:

6x (the exponent would be 1) + 3 (the variable and exponent would be x to the 0. Any variable to the power of 0 is equal to 1, which is why it's not shown)

JL is a common tangent to circles M and K at point J. If angle MLK measures
619, what is the length of radius MJ? Round to the nearest hundredth. (Hint:
Show that triangles LMJ and LKJ are right triangles, and then use right triangle
trigonometry to solving for missing sides of the right triangles.) (10 points)

pls help

Answers

Answer:

MJ = 6.5

Step-by-step explanation:

Tangent lines to a circle are perpendicular to the radius.

tan 68° = JL/3

2.4751 = JL/3

JL = 7.4253

∠JLK = 90° - 68° = 22°

∠MLJ = 61° - 22° = 39°

sin 61° = MJ/7.4253

MJ = 7.4253(0.8746) =  6.5

The length of radius MJ is 5.99 units

How to calculate the radius MJ?

Start by calculating the length JL using the following tangent ratio

tan(68°) = JL/3

Make JL the subject

JL = 3 * tan(68°)

Evaluate the product

JL = 7.4

From the figure, the measure of angle MLJ is:

∠MLJ = MLK - JLK

Where:

∠JLK = 90° - 68° = 22°

So, we have:

∠MLJ = 61 - 22

∠MLJ = 39

The radius MJ is then calculated using the following tangent ratio

tan(39) = MJ/JL

This gives

tan(39) = MJ/7.4

Make MJ the subject

MJ = 7.4 * tan(39)

Evaluate

MJ = 5.99

Hence, the length of radius MJ is 5.99 units

Read more about line of tangents at:

https://brainly.com/question/6617153

Hi so i have a question that is..... A pool is in the shape of a right rectangular prism and has a volume of 192 cubic feet. The area of the base of the pool is 32 square feet. Could anyone help me?

Answers

Answer:

h = 6 feet

Step-by-step explanation:

Given that,

The volume of a right rectangular prism = 192 cubic feet

The area of the base of the pool is 32 square feet.

We need to find the height of the prism. We know that the volume of a right rectangular prism is given by :

[tex]V=lbh[/tex]

We have, V = 192 cubic feet, lb = 32 sq feet

So,

[tex]h=\dfrac{V}{lb}\\\\h=\dfrac{192}{32}\\\\=6\ feet[/tex]

So, the height of the prism is equal to 6 feet.

Ana made one container of berry juice and served it to her friends at a picnic. The container served 8 people. What would be a reasonable amount of juice in the container?
A. 0.5 liter
B. 1 liters
C. 2 liters
D. 18 liters

Answers

Answer:

azsxdfghjmk,l,kjhgfd

Step-by-step explanation:

X = 10
3.2 + 5y = 20
What is the solution (x, y) of the system of equations?

Answers

I can’t see the question

Show work please! Herald is keeping track of eagles. To do so, he put tags on 25 eagles and released them.
Later, he catches 120 eagles; 16 eagles were tagged. Find the best estimate for the Eagle
population?

Answers

Answer:

188

Step-by-step explanation:

16/120=0.133

0.133 times 100=13.3%

this means 25 eagles is only 13.3% of the population

therefore 25/0.13=188

Factor the expression completely.
15x2 - 40x-15

Answers

Answer:

630

Step-by-step explanation:

15×2=30

40×(-15)=-600

30-(-600)=630

40 POINTS!! RIGHT ANSWERS ONLY PLEASE!!

The number of absences for one week for all students at a high school were compiled, and the probability distribution below was created. What is the probability in any given week that a randomly selected student will be absent more than 4 days?


Probability Distribution
Days Absent: X 0 1 2 3 4 5
Probability: P(X) 0.78 0.14 0.03 0.01 0 0.04


A
0.25

B)0.04

C)0.004

D)0.05

Answers

Three rare coins with diameters of 7/8 inch, 3/4 inch, and 5/8 inch are mounted in a rectangular frame, as shown in the diagram below. What is the perimeter of the frame if the coins fit exactly?

c) 4−4/5= 2

d) –4 + 3 ( 2 – x) = –8

e) 8 – ( 5 – 9x ) = 7( 1 – x )

f) –5 – 3( x + 1 ) = –( –4x + 1)

g) 4−6/9= 1/3+ x

Powodzenia ☺​

Answers

Step-by-step explanation:

I will skip question c as there is no subject to solve.

d)

[tex] - 4 + 3(2 - x) = - 8 \\ - 4 + 6 - 3x = - 8 \\ 2 - 3x = - 8 \\ - 3x = - 8 - 2 \\ - 3x = - 10 \\ x = 10 \div 3 \\ = \frac{10}{3} \: or3 \frac{1}{3} [/tex]

e)

[tex]8 - (5 - 9x) = 7(1 - x) \\ 8 - 5 + 9x = 7 - 7x \\ 3 + 9x = 7 - 7x \\ 3 + 9x + 7x = 7 \\ 16x = 7 - 3 \\ 16x = 4 \\ x = 4 \div 16 \\ = \frac{1}{4} [/tex]

[tex] - 5 - 3(x + 1) = - ( - 4x + 1) \\ - 5 - 3x - 3 = 4x - 1 \\ - 8 - 3x = 4x - 1 \\ - 8 - 3x - 4x = - 1 \\ - 7x = - 1 + 8 \\ - 7x = 7 \\ x = 7 \div - 7 \\ = - 1[/tex]

g)

[tex]4 - \frac{6}{9} = \frac{1}{3} + x \\ 4 - \frac{2}{3} = \frac{1}{3} + x \\ x + \frac{1}{3} = 4 - \frac{2}{3} \\ x = 4 - \frac{2}{3} - \frac{1}{3} \\ = 4 - 1 \\ = 3[/tex]

Arrange the following
numbers in order from least
to greatest.
96,432; 94,632; 96,342

Answers

Answer:

94,96,96,342,432,632

Step-by-step explanation:

Least to greatest

Please say the answer as fast possible with working. It would be so kind if you sended this early

Answers

Answer: 2. 2

3. 110,121,132

4.22,110

5.4.5

Step-by-step explanation:

2. 20-12=8, 8divided by 4=2

3. 363 divided by 3=121(this is the avg of the consecutive multiples so one multiple must be 11 above and another 11 below

4.66 divided by 3=22, 22x 2 and 22 x 5

5.2 x2=4, 13-4=9, 9 divided by 2 is 4.5

Help how do I solve for x and y when they are they on the same corresponding side

Answers

Answer:

y = 33.94 mm

x = 19.80 mm

Step-by-step explanation:

Because AC = CB, then ∠ABC = 45°

cos ∠ABC = 24/y

cos 45° = 0.7071 = 24/y

y = 33.94 mm

EF/BC = x/y

14/24 = x/33.94

24x = 475.16

x = 19.80 mm

Rian is packing toys in boxes. Each box is 3 inches by 4 inches by 6 inches. Each toy takes up 65% of the volume of the box, and the rest of the volume of the box is filled with foam packing beads. What is the volume, in cubic inches, of the foam packing beads used to fill each box

Answers

9514 1404 393

Answer:

  25.2 in³

Step-by-step explanation:

The volume of the box is ...

  V = LWH

  V = (3 in)(4 in)(6 in) = 72 in³

__

65% of the box is filled with a toy, so the remaining 100% -65% = 35% is filled with packing beads. The volume of packing beads required is ...

  0.35 × 72 in³ = 25.2 in³

25.2 in³ of foam packing beads are used to fill each box.

The boiling temperature (in degrees Celsius) of platinum is 199 more than four times the boiling temperature $z$ (in degrees Celsius) of zinc.
a. Write an expression that represents the boiling temperature (in degrees Celsius) of platinum.
b. The boiling temperature of zinc is 907 degrees Celsius. What is the boiling temperature of platinum?

Answers

Answer: THIS IS SO HARD!

Step-by-step explanation:

The required boiling temperature of platinum is 3,739 degrees Celsius.

What is simplification?

Simplification involves applying rules of arithmetic and algebra to remove unnecessary terms, factors, or operations from an expression. The goal is to obtain an expression that is easier to work with, manipulate, or solve.

Here,
a. Let's start by defining a variable for the boiling temperature of zinc, which we'll call z.

According to the problem statement, the boiling temperature of platinum is 199 more than four times the boiling temperature of zinc. In other words,

Boiling temperature of platinum = 4z + 199

So the expression that represents the boiling temperature of platinum in degrees Celsius is:

4z+199

b. The problem tells us that the boiling temperature of zinc is 907 degrees Celsius. So we can substitute this value for z in our expression:

4z+199 = 4(907)+199 = 3,739

Therefore, the boiling temperature of platinum is 3,739 degrees Celsius.

Learn more about simplification here:

https://brainly.com/question/12501526

#SPJ2

help please

1. Which function is exponential? Write the function
(Exponential form is y=a(b)^x)
2.Which function is linear? Write the function
( linear y=mx+b)

Answers

Answer:

Easy way to distinguish:

Linear function forms a AP and exponential function forms a GP

We see f(x) is series of:

8, 14, 20, 26, 32This is a AP with common difference of 6 and the first term of 8

g(x) is series of:

4, 12, 36, 108, 324This is a GP with common ratio of 3 and the first term of 4

1. g(x) is exponential function:

g(x) =4*3ˣ

2. f(x) is linear function:

f(x) = 6x + 8

A sequence is defined by the recursive rule a1 = -16, an = 1.5an-1. What is the fourth term in the sequence?​

Answers

Answer:

a(4) = 1.5(-36) = -54

Step-by-step explanation:

a(1) = -16 is given.

a(n) = 1.5*a(n-1).  

a(2) = 1.5(-16) = -24

a(3) = 1.5(-24) = - 36

a(4) = 1.5(-36) = -54

[tex]\huge{\mathbb{\tt { QUESTION:}}}[/tex]

A sequence is defined by the recursive rule a1 = -16, an = 1.5an-1. What is the fourth term in the sequence?

[tex]\huge{\mathbb{\tt {ANSWER:}}}[/tex]

[tex] \{\boxed{\boxed{\tt {a(4) = 1.5(36) = -54 }}}[/tex]

[tex]\huge{\mathbb{\tt {EXPLANATION:}}}[/tex]

[tex]a(1) = - 16 \\ a(n) = 1.5 \times a(n - 1) \\ a(2) = 1.5( - 16) = - 24 \\ a(3) = 1.5( - 24) = - 36 [/tex]

[tex] \{\boxed{\boxed{\tt {a(4) = 1.5(36) = -54 }}}[/tex]

#CarryOnLearning

#LetsEnjoyTheSummer

X x K i m 0 2 x X

A circle has a radius of 16 units. What is the area in square units of the circle in terms of pi

Answers

Step-by-step explanation:

area= (pi)r^2

a = (pi)×16^2

a= 256pi square units

EMERGENCY PLS HELP: Calculate the volume.

Answers

Answer:

[tex]525\pi[/tex]

Step-by-step explanation:

Volume of a cylinder is given by the function [tex]v=\pi r^{2}h[/tex]

where v is volume, r is radius and h is height.

In order to find the radius we just divide the diameter in half and get

[tex]\frac{10}{2} =5=r[/tex]

now we just plug the values in the formula

[tex]v=\pi r^{2}h\\=\pi (5^{2})(21)\\=\pi (25)(21)\\=525\pi[/tex]

Answer:

Volume of a cylinder: V = π (r^2) h

Step-by-step explanation:

First, find your radius and your height.

H = 21

D = 10

R = 1/2 d = 5

Then plug them into the equation: V = π (r^2) h

V = π (5^2) 21

V = π (25) 21

V = π (25 x 21)

V = π (525)

V = 525π

Help! Need sober answer
....​

Answers

[tex]\huge{\mathbb{\tt{ANSWER↓}}}[/tex]

1. Find the permutation of the word LOVE taken 2 letters at a time.

ANSWER IS C.12

--------------------------------------------------------------------------------

2. If 3 girls enter a jeepney in which there are 7 vacant seats, how many ways are there for them to be seated?

ANSWER IS B.210

--------------------------------------------------------------------------------

3. How many combinations can be made from the letters of the word MOTHER taken 4 at a time.

ANSWER IS A.15

#CarryOnLearning

#JustEnjoyTheSummer

→XxKim02xX

The figure shows five polygons: ABCDE, FGHIJ
, KLMNO, PQRST, and UVWXY.
Polygon
cannot be mapped onto the others by similarity transformations.

Answers

Answer:

PQRST

Step-by-step explanation:

This one cannot be be mapped by similarity transformations as its dimensions/proportions don't match those of the others.

Answer:

PQRST

Step-by-step explanation:

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