An Olympic diver is competing for a metal. His height in meters above the water can be modeled by the function
f (x)= -4.9x^2+9.8x+14.7f(x)=−4.9x +9.8x+14.7
where is is the time in seconds after he begins the dive.

After how many seconds does he reach the water?


What domain makes sense for this scenario?

Answers

Answer 1

Answer:

-4.9x²+75x=-4.9x+50x+38

75x=50x+38

25x=38

x=1.52

1.52 -4.9(1.52)²+75(1.52)=102.67904≈102.7 meters

Double check: -4.9(1.52)²+50(1.52)+38=102.67904≈102.7. Yes.

102.7 meter.

Step-by-step explanation:


Related Questions

If a leaky faucet drips one ounce of water per minute approximately how many gallons per day is that

Answers

Answer:

Step-by-step explanation:

1hr=60mins

24hrs in a day

1hr=60oz

60oz x 24hrs =1440 oz

1440oz = 11.25gal

PLEASE MARK BRAILIEST

A drag racer has two parachutes, a main and a backup, that are designed to bring the vehicle to a stop (combined with the brakes) after the end of a run. Suppose that the main chute deploys with probability 0 . 95, and that if the main fails to deploy, the backup deploys with probability 0.999.

Required:
a. What is the probability that one of the two parachutes deploys?
b. What is the probability that the backup parachutes deploys?

Answers

Answer:

a. 0.99995 = 99.995% probability that one of the two parachutes deploys

b.0.04995 = 4.995% probability that the backup parachutes deploys

Step-by-step explanation:

a. What is the probability that one of the two parachutes deploys?

Either the first deploys(with probability 95%), or the first does not deploy(probability 5%) and the second does(probability 99.9%). So

[tex]p = 0.95 + 0.05*0.999 = 0.99995[/tex]

0.99995 = 99.995% probability that one of the two parachutes deploys

b. What is the probability that the backup parachutes deploys?

The first does not deploy(probability 5%) and the second does(probability 99.9%). So

[tex]p = 0.05*0.999 = 0.04995[/tex]

0.04995 = 4.995% probability that the backup parachutes deploys

Mia cycled 12 miles over two days.
She cycled 7 miles on one day.
How many miles did she cycle on the other day?

 19 miles?
7 miles?
5 miles?
12 miles?​

Answers

She cycled 5 miles on the second day
5 miles I think because

here’s the other one

Answers

Answer:

it is A

Step-by-step explanation:

What is the vertex for y=x^2-3+2

Answers

Answer:

-1

explanation:

because I used a graphing calculator

What is x>5 graph algebra

Answers

Answer:

Step-by-step explanation:

Find the value of X.

Answers

All 3 sides of the triangle are the same, which means all 3 inside angles are the same. Each inside angle is 60 degrees.

We now have 3x = 60

Divide both sides by 3:

x = 60/3

x = 20

Answer:

As in the given figure, all the sides are equal i.e., 5 units

It is a equilateral triangle.

In equilateral triangle all the angles are 60°.

[tex]3x = 60 \\ x = \frac{60}{3} \\ \boxed{x = 20}[/tex]

20 is the right answer.

A pizza shop sells three sizes of pizza, and they track how often each size gets ordered along with how much they profit from each size. Let X represent the shop's profit on a randomly selected pizza. Here's the probability distribution of XXX along with summary statistics:

Small Medium Large
X= Profit($) 4 8 12
P(X) 0.18 0.50 0.32
Mean μx= $8.56
Standard Deviation σx ≈ 2.77

The company is going to run a promotion where customers get $2 off any size pizza. Assume that the promotion will not change the probability that corresponds to each size. Let Y represent their profit on a randomly selected pizza with this promotion. What are the mean and standard deviation of Y?

Answers

Answer:

μy = $6.56 ; σy = 2.77

Step-by-step explanation:

Given the data :

Mean μx= $8.56

Standard Deviation σx ≈ 2.77

Profit, Y on pizza with current promo :

Price off on pizza = $2

Y = x - 2

μx = E(x) = $8.56

μy = μ(x - 2)

μy = μx - $2

μy = $8.56 - $2

μy = $6.56

For the standard deviation of y

σx ≈ 2.77

σy = σ(x - 2)

σy = σx - 2

Constants are treated as 0 for standard deviation

σy = 2.77

Consider the figure below:
20
16
6
Determine the length of TZ.
Do not include spaces, units, or commas in your response.
Enter answer here. Do not include spaces or units.

Answers

Answer:

TZ = 24

Step-by-step explanation:

Similar Triangles

If two triangles are similar, then:

* All the corresponding side lengths are proportional by the same scale factor

* All the internal angles are congruent.

The image provided in the question has two similar triangles TYZ and TWX. We have completed the shape with a variable p =TZ, whose value will be determined by applying the first similarity condition above.

The ratio between the heights is 20:16, and the proportion between the bases is (6+p):p, thus:

[tex]\displaystyle \frac{6+p}{p}=\frac{20}{16}=\frac{5}{4}[/tex]

Cross-multiplying denominators:

4(6 + p) = 5p

24 + 4p = 5p

Solving for p:

p = 24

Then, TZ = 24

HELP IOLL MARK U BRAINLIEST I SWEAR

Answers

Answer:

You aren't posting pictures

Step-by-step explanation:

What is the slope of a line that is perpendicular to the line shown on the graph?​

Answers

The answer is C. 1/2

Hope this helps!

One-third x + one-sixth y = 2. When x is 3, 1 x + StartFraction 3 Over 6 EndFraction y = 6. One-half x + three-fourths y = negative 3. When x is negative 2, negative 1 x minus StartFraction 6 Over 4 EndFraction = 6. Negative 1 y = 12.
Continue solving the system of equations.

What is the solution to the system?

(
,
)

Answers

Answer:

(12, -12)

Step-by-Step:

I got it right on Edge 2021

Answer:

its 12,-

12

Step-by-step explanation:

How do you write 3% as a fraction

Answers

Answer: 3/100

Step-by-step explanation:

Answer:

3/100

Step-by-step explanation:

Lin runs 5 laps around a track in 8 minutes.
a. How many minutes does it take to run 1 lap?
How many laps did Lin run in 1 minute?


Please hurry up(btw you will get the brainliest)‍♂️

Answers

Answer:

To run one lap Lin takes 1.6 minutes.

Step-by-step explanation:

To find this answer you would do 8 divided by 5. Always remember when dividing time goes first unless the instructions / directions / your teacher says differently. So, when you do 8 divided by 5 the answer you get is 1.6, and there is your answer. Also to check your answer you can do 1.6 times 5, and you get 8, so you know that 1.6 is the correct answer.

Find the missing angle m

Answers

Answer:

m∠BAC=135°

Step-by-step explanation:

360- 84=276

276-141=135

Hope this helps!

Please mark me brainliest if you can. :)

How to Simplify (7x+2)+(x+8)-2x

Answers

Answer:

Step-by-step explanation:

The answer to this should be 2(3x+5)

The simplified answer of this is 6x+10

I hope I helped you out.

Answer:

P: ()

E: 5^4 (example)

M:x

D: ÷

A:+

S:-

Copy the proof on paper, mark the given diagram, fill in the blanks to fill in the proof

Statement Reason
1.
LA ≅ ?? Given

Given
2.
TA ≅ ??? Reflex Prop.

3. ∠LAT≅∠ ??? ???

4. △LAT≅△ ??? ???

Answers

Answer:

I don't know all of these, but I do know some.

Step-by-step explanation:

1. LA ≅ SA Given

2. I'm sorry I don't know this

3. ∠LAT≅∠ SAT and Def of angle bisector for the reason.

4. △LAT≅△ TAS and I believe it's SAS for the reason.

Answer:

Answers in explanation

Step-by-step explanation:

LA ≅ SA              |  Given

TA ≅ TA              |  Reflexive Property

∠LAT ≅ ∠SAT    |  Definition of angle bisector

△LAT ≅ △SAT   |  SAS

10. The community garden has 4
acres. Each garden plot is 1/3 of an
acre. How many garden plots are
there in the garden?
6th grade math

Answers

Answer:

12

Step-by-step explanation:

In four acres there are 3 gardens so you just have to multiply 4x3=12

12 garden plots

because 1/3+1/3+1/3 makes a whole. Count until you get 4 whole and you should end up with 12.

Help me please! I am in desperate need

Answers

Answer:

C. The coefficients of [tex]x^ay^b[/tex] and [tex]x^by^a[/tex] are equal.

Step-by-step explanation:

The binomial theorem is given as:

[tex](x+y)^n=\sum_{k=0}^{n} \binom{n}{k}x^{n-k}y^k[/tex]

[tex]n-k+k=n[/tex], and the coefficient of these terms are represented by [tex]\binom{n}{k}[/tex].

*Note [tex]\binom{n}{k}=\binom{n}{n-k}=\frac{n!}{k!(n-k)!}[/tex]

Therefore the coefficients of [tex]x^ay^b[/tex] and [tex]x^by^a[/tex] are equal.

Find the measure of angle B
(9x+2) (5x-4)

Answers

Answer:

119

Step-by-step explanation:

[tex]due \: to \: Corresponding \: angles \\ (5x - 4) + (9x + 2) = 180 \\ 14x = 182 \\ x = 13 \\ \\ 9.13 + 2 = b \\ b = 119[/tex]

Answer:

In the given figure, we know that (angle B+angle C)=180°.

[tex](9x + 2) + (5x - 4) = 180 \\ 14x - 2 = 180 \\ 14x = 182 \\ \boxed{x = 13}[/tex]

Angle B = (9x+2) = (9×13+2) = (117+2) = 119°.

HELP!
What is the scale factor !

Answers

Answer:

A scale factor is usually a decimal which scales, or multiplies, some quantity. In the equation y = Cx, C is the scale factor for x. C is also the coefficient of x, and may be called the constant of proportionality of y to x.

Select all of the following tables which represent y as a function of x.

Answers

Answer:

the second and third one

Step-by-step explanation:

two y's that are the same can't have 2 outcomes

PRE CALC HELP!!! 100 PTS AND BRAINLIEST
(the one I chose isn't correct I just accidentally pressed it)

Answers

Hello!

[tex]\large\boxed{\frac{\pi }{4} < x < \frac{5\pi }{4}}[/tex]

To begin, we can solve the inequality:

sin(x) > cos(x)

Divide both sides by cos(x):

sin(x) / cos(x) > 1

tan(x) > 1

x > π/4

However, we can also solve it the other way to produce the end to the interval:

sin(x) > cos(x)

1 > cot(x)

x < 5π/4

Therefore, sin(x) > cos(x) on the interval π/4 < x < 5π/4.

Answer:

π/4 < x < 5π/4.

QUICK HELP GIVING BRAINLIEST AWAY

Answers

Answer:

-6

Step-by-step explanation:

8 - 2 = 6

But, its has - in it so with that being said, its    -8 minus -2 = -6

Answer:

-6

Step-by-step explanation:

hope this helps!

answer quick will give 20 points

Answers

Answer:

1

Step-by-step explanation:

the answer is the correct soulotion to what x and y repersent. (sorry for bad grammar, english isnt my first language)

Answer:

The correct answer to your question I believe is 1

Step-by-step explanation:

So yes the first person is correct :) Hope I helped though. Have a great day! Bye! You got this!

what is the the y intercept of the function f(x)=-2/9X+1/3?​

Answers

Answer:

1/3

Step-by-step explanation:

the y-intercept is when x=0, so, if x was 0, y is1/3

plz brainliestt

Answer:

It is 1/3

Step-by-step explanation:

hope it helps ^^

A rectangle has a length that is three times the width . The perimeter of the rectangle is 40 feet.what is the area of the rectangle

Answers

Answer:

The area is 15 feet

Step-by-step explanation:

So you are going to need two different equations-

l = w(3)

2l + 2w = 40

Insert the first equation into the second-

2(3w) + 2w = 40

Simplify this equation-

6w + 2w = 40

8w = 40

Divide both sides by 5

w = 5

Solve first equation

l = 5(3)

l = 15

Then find the area-

5 x 15 = 75

In an hyperbola, the fixed points that have a constant difference in distance from the center are called _

A. Asymptotes
B. Centers
C. Foci
D. Vertices

Please select the best answer from the choices provided

OA
OB
OC
OD

Answers

Answer is C. Foci...

The correct answer is C. Foci.

A hyperbola is defined as the flat open curve resulting from the intersection of a right circular cone from a plane not parallel to any of its origins. The line joining the foci of the hyperbola is called the base line.

The perpendicular to the middle of the baseline is called the center line. It becomes apparent that all points of the center line are equidistant from the foci.

Learn more in https://brainly.com/question/15697124

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

Scale factor = 1.5

Step-by-step explanation:

Formula for the scale factor,

Scale factor = [tex]\frac{\text{Measure of one side of the Image}}{\text{Measure of one side of the preimage}}[/tex]

In this question, image is triangle Y and preimage is triangle X.

Scale factor of X to Y = [tex]\frac{15}{10}[/tex]

                                    = 1.5

Therefore, scale factor = 1.5 is the answer.

Please help and thank you

Answers

Answer:

in lowest term it's

Step-by-step explanation:

10/33

Answer:

10 : 33

Step-by-step explanation:

Both 20 and 66 are multiples of 2.

20 = 2 x 10

66 = 2 x 33

So, this ratio becomes 2 x 10: 2 x 33

Dividing both sides by 2 gives us 10:33, which can't be simplified further.

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