A competitive cliff diver jumps into
water 81 feet below. The distance d that the diver falls
in t seconds is given by the equation d = 16t^2. How
long does it take the diver to hit the water?

Answers

Answer 1

Answer:

2.25 seconds

Step-by-step explanation

[tex]d=16t^{2}[/tex]

[tex]d=81 feet\\t=?[/tex]

Because you know what distance equals you can plug it into the equation

[tex]81=16t^{2}[/tex]

From there you can solve by dividing the 16 over and then square rooting.

[tex]\frac{81}{16}=t^{2}[/tex]

[tex]5.0625=t^{2}[/tex]

You take the square-root to get rid of [tex]t^{2}[/tex]

[tex]\sqrt{5.0625} =\sqrt{t}^{2}[/tex]

[tex]t=2.25[/tex]


Related Questions

Find a fraction with a demominator of 30 that is equivalent to 1/3

Answers

Answer:

10/30

Step-by-step explanation:

First, multiply the denominator by 10 to make 30.

Then, since we multiplied the denominator, we multiply the numerator. 1 x 10= 10

Therefore the answer is 10/30.

Which of the following variables is most likely to be used as quantitative?
Choose the correct answer below.
ZIP code
Country of birth
Flash drive capacity
Car manufacturer

Answers

Flash drive capacity. Quantitative means the quantity(the amount) of something.

Big chickens: A report from a poultry industry news Web site stated that the weights of broilers (commercially raised chickens) are approximately normally distributed with mean 1376 grams and standard deviation 183 grams. Use the TI-84 PLUS calculator and round your answers to at least two decimal places. (a) Find the 24th percentile of the weights. (b) Find the 86th percentile of the weights. (c) Find the second quartile of the weights. (d) A chicken farmer wants to provide a money-back guarantee that his broilers will weigh at least a certain amount. What weight should he guarantee so that he will have to give his customers' money back only 1% of the time

Answers

Answer:

i think its b

Step-by-step explanation:

which expression has the same value as 5 - 3x when x = 4

Answers

Answer:

1.75x?

Step-by-step explanation:

I'm not sure if it has to be multiple numbers

Pls help !!!! Due today

Answers

Answer:

Im not so sure but i think its the 3rd option 168cm^2

Step-by-step explanation:

Solve for x
15 points for prize

Answers

×=20°

Hope this helps :)

Evaluate the expression if y = -4. | 2/y + 1/2 (y+6)

DO NOT SEND ANY LINKS.

Answers

Answer: look at the picture

Step-by-step explanation: Hope this help :D

Answer:

0.5

Step-by-step explanation:

If y = -4, then we must replace every variable y with the number 4. So, let's do that.

2/-4 + 1/2*(-4 + 6)

All we have to do now, is simplify. Parenthesis first...

2/-4 + 1/2*2

We can replace the 1/2*2 with 2/2 because they are the same thing.

2/-4 + 2/2

Now, solve from left to right.

-0.5 + 1 = 0.5

Therefore, the answer is equal to 0.5. Hope this helps!

HELP LOOK AT PHOTO PLEASE

Answers

Answer:

y=60

Step-by-step explanation:

1) Find x

All the interior angles of a triangle add up to 180 degrees. Knowing this, we can construct the following equation:

[tex]180=x+35+25\\180=x+60[/tex]

Subtract 60 from both sides

[tex]180-60=x+60-60\\120=x[/tex]

2) Find y

A straight line has an angle measure of 180 degrees as well. Knowing this, we can construct the following equation:

[tex]180=x+y\\180=120+y[/tex]

Subtract 120 from both sides of the equation

[tex]180-120=y+120-120\\60=y[/tex]

There is also a second way to solve for y: An exterior angle of a triangle is equal to the sum of the opposite interior angles. y, in this case, would be the exterior angle and 35 and 25 degrees would measure the opposite interior angles. To solve for y, we just add 35 and 25, getting us 60 degrees.

I hope this helps!

Helpppppppp details in picture

Answers

The correct answer is 10 to the 4.

If x varies inversely as y and x=16 when y=5, find x when y=20.

Answers

9514 1404 393

Answer:

  x = 4

Step-by-step explanation:

The inverse variation means that when y goes up by a factor of 20/5 = 4, the value of x goes down by the same factor.

  x = 16/4

  x = 4

The variables x and y are related proportionally. When x = 8 and y = 20. Find y when x = 68.

Answers

Answer:

y = 170

Step-by-step explanation:

68/8 = 8.5

8.5*20 = 170

Answer:

170

Steps:

given: when x = 8 , y = 20

if x = 68

then y = (68 × 20)/8 = 1360/8 = 170

if Mike Burns 220 calories in 20 minutes and 275 calories is in 25 minutes 385 calories in 35 minutes how much calories did he burn in 29 minutes​

Answers

Answer:

319 calories

Step-by-step explanation:

Steps to answering this question :

Determine the amount of calories burnt per minute Multiply the answer gotten in the above step by 29 minutes to determine the total calories burnt in 29 minutes

Calories burnt per minute = total calories / minutes

220 / 20 = 11 calories

275 / 25 = 11 calories

385 / 35 = 11 calories

11 calories is burnt per minute

Total calories burnt in 29 minutes = calories burnt per minute x 29 minutes

11 x 29 = 319 calories

319

for brainliest please help

Answers

The value of x in given figure is 100°

What do you mean by the term Angle ?

An angle is a geometric figure formed by two rays or lines that share a common endpoint, called the vertex. The rays or lines are called the sides of the angle, and they can be measured in degrees or radians.

An angle can be classified as acute, right, obtuse, or straight, depending on its measure. An acute angle is less than 90 degrees, a right angle is exactly 90 degrees, an obtuse angle is greater than 90 degrees but less than 180 degrees, and a straight angle is exactly 180 degrees.

According to question

In ΔABC ,

∠ C is 100°

So,the value of x is also 100°( by vertically opposite angle)

Learn more about Right angle here

https://brainly.com/question/7116550

#SPJ1

bing + us ????? need help ples asap

Answers

Bing + us = Bingus. That's all

Answer:

it's very hard lol

Bing+us

=Bingus

Step-by-step explanation:

oh my gawd... hope it's ryt

thanks lol

What slope of the points (9,7) and (3,3)

Answers

Answer:

6/4

Step-by-step explanation:

Answer:

slope

=

21

16

Explanation:

to calculate the slope m use the

gradient formula

x

m

=

y

2

y

1

x

2

x

1

let

(

x

1

,

y

1

)

=

(

7

,

11

)

and

(

x

2

,

y

2

)

=

(

9

,

10

)

m

=

10

11

9

(

7

)

=

21

16

=

21

16

Step-by-step explanation:

16
Which one of the following
sets of three lengths will form
a triangle
A. 3, 4, and a
B. 3, 5, and a
C. 3, 6, and a
D. 3, 7, and a

Answers

Answer:

A .........................

Use the models above to explain why a 5×2/3 equals 10×1/3

Answers

Answer:

I kind of need the models to help with this one

The graph of a linear function is shown on the coordinate grid.
What is they y-intercept of the graph of the linear function?

Answers

Answer:

y=-6

Step-by-step explanation:

just look at the bottom and yahhhh

If the second of three consecutive integers is subtracted from 135, the result is the sum of the first and third. What are the integers?

Answers

Answer:

44, 45, and 46

Step-by-step explanation:

135-(x+1)=x+(x+2)

135-(x+1)=2x+2

135=3x+3

132=3x

x=44

So the first number is 44

Then just add 1 and 2 to get 45 and 46 as the second and third number.

1. Determine P(green) and P(orange for the spinner. Write the probabilities as fractions, decimals and percents.

Answers

Answer:

A) P(Green) = 1/8, 0.125, 0r 12.5%

P(Orange) = 1/2, 0.5, or 50%

B) P(Not Yellow) = 3/4, 0.75, or 75%

Step-by-step explanation:

A) P(Green) = 1/8, 0.125, 0r 12.5%

P(Orange) = 1/2, 0.5, or 50%

B) P(Not Yellow) = 3/4, 0.75, or 75%

Find the degree of the polynomial – 3x + x² +3.​

Answers

Answer:

Step-by-step explanation:

Degree means highest exponent.  got it?

I believe the answer is: 2

Hope this helps :)

The radius of a circle is changing at the rate of 1/π inches per second. At what rate, in square inches per second, is the circle’s area changing when the radius is 5 inches?

Answers

Answer:

formula for the area A of a circle in terms of its radius r:

    A = πr2

It is important to remember that both r, and hence, A are functions of time, t.  Take the derivative of both sides with respect to t and obtain

    dA/dt = 2πr(dr/dt)

Note that we are using implicit differentiation here, since A and r are (implicit) functions of t.  Now we can find the required answers.

r = 5 inches.

Substitute r = 5 and dr/dt = 3 to get

    dA/dt = 2π5·3 = 30π ≅ 95.25

(the units are in2/min.)

r = 22 inches

    dA/dt = 2π22·3 = 132π ≅ 414.69

Hope that helps.

What is the length of FG?
(Picture of Question Below!)
I WILL GIVE OUT BRAINLIEST IF CORRECT!

A. 1.2
B. 3
C. 3.6
D. 4 (NOT 4)
E. 6

Answers

Answer:

3.6,I dont know if I'm right but I'm pretty sure

how many square feet is in a acre

Answers

43,560 is the answer
43560 square feet in an acre

Which of these is a statistical question? I accidentally clicked an clicked an answer, but I want to know which one is the right one.

Answers

Step-by-step explanation:

I think A is the answer to your question

Jonathan went shopping for a new pair of pants. Sales tax where he lives is 4.75%. The price of the pair of pants is $20. Find the total price including tax. Round to the nearest cent.

Answers

Answer:

20.95$

Step-by-step explanation:

To find the total price we need to find 4.75% of the 20 and to do that we need  to multply 20 with 4.75 and divide it by 100

20 × 4.75 ÷ 100 = 0.95

20$ + 0.95$ = 20.95$

Advertising expenses are a significant component of the cost of goods sold. Listed below is a frequency distribution showing the advertising expenditures for 75 manufacturing companies located in the Southwest. The mean expense is $50.93 million and the standard deviation is $10.80 million. Is it reasonable to conclude the sample data are from a population that follows a normal probability distribution? Advertising Expense ($ Million) Number of Companies 25 up to 35 4 35 up to 45 19 45 up to 55 27 55 up to 65 16 65 up to 75 9 Total 75

Answers

Answer:

Step-by-step explanation:

The table can be computed as:

Advertising Expenses ($ million)     Number of companies

25 up to 35                                                    4

35 up to 45                                                    19

45 up to 55                                                    27

55 up to 65                                                    16

65 up to 75                                                     9

TOTAL                                                            75

Let's find the probabilities first:

[tex]P(25 - 35) = P \Big(\dfrac{25-50.93}{10.80}<z< \dfrac{35-50.93}{10.80}\Big) \\ \\ =P \Big(\dfrac{-25.93}{10.80}<z< \dfrac{-15.93}{10.80}\Big) \\ \\ =P(-2.4009<z<-1.475) \\ \\ =(0.0694 -0.0082) \\ \\ =0.0612[/tex]

For 35 up to 45

[tex]P(35 - 45) = P \Big(\dfrac{35-50.93}{10.80}<z< \dfrac{45-50.93}{10.80}\Big)=P \Big(\dfrac{-15.93}{10.80}<z< \dfrac{-5.93}{10.80}\Big) \\ \\ =P(-1.475<z<-0.5491) \\ \\ =(0.2912 -0.0694) \\ \\ =0.2218[/tex]

For 45 up to 55

[tex]P(45 - 55) = P \Big(\dfrac{45-50.93}{10.80}<z< \dfrac{55-50.93}{10.80}\Big)=P \Big(\dfrac{-5.93}{10.80}<z< \dfrac{4.07}{10.80}\Big) \\ \\ =P(-0.5491<z<0.3769) \\ \\ =(0.6480 -0.2912) \\ \\ =0.3568[/tex]

For 55 up to 65

[tex]P(55 - 65) = P \Big(\dfrac{55-50.93}{10.80}<z< \dfrac{65-50.93}{10.80}\Big)=P \Big(\dfrac{4.07}{10.80}<z< \dfrac{14.07}{10.80}\Big) \\ \\=P(0.3768<z<1.3028) \\ \\ =(0.9032-0.6480) \\ \\ =0.2552[/tex]

For 65 up to 75

[tex]P(65 - 75) = P \Big(\dfrac{65-50.93}{10.80}<z< \dfrac{75-50.93}{10.80}\Big)=P \Big(\dfrac{14.07}{10.80}<z< \dfrac{24.07}{10.80}\Big) \\ \\ =P(1.3028<z<2.2287) \\ \\=(0.9871-0.9032) \\ \\ =0.0839[/tex]

Chi-Square Table can be computed as follows:

Expense   No of   Probabilities(P)  Expe                [tex](O-E)^2[/tex]   [tex]\dfrac{(O-E)^2}{E}[/tex]

             compa                                 cted E (n*p)

             nies (O)  

25-35           4      0.0612    75*0.0612 = 4.59        0.3481       0.0758

35-45           19     0.2218   75*0.2218 = 16.635     5.5932       0.3362

45-55           27     0.3568   75*0.3568 = 26.76     0.0576      0.021

55-65           16      0.2552   75*0.2552 = 19.14      9.8596      0.5151

65-75           9      0.0839     75*0.0839 = 6.2925   7.331         1.1650

                                                                                           [tex]\sum \dfrac{(O-E)^2}{E}= 2.0492[/tex]                                                                                                      

Using the Chi-square formula:

[tex]X^2 = \dfrac{(O-E)^2}{E} \\ \\ Chi-square \ X^2 = 2.0942[/tex]

Null hypothesis:

[tex]H_o: \text{The population of advertising expenses follows a normal distribution}[/tex]

Alternative hypothesis:  

[tex]H_a: \text{The population of advertising expenses does not follows a normal distribution}[/tex]

Assume that:

[tex]\alpha = 0.02[/tex]

degree of freedom:

= n-1

= 5 -1

= 4

Critical value from [tex]X^2 = 11.667[/tex]

Decision rule: To reject [tex]H_o \ if \ X^2[/tex]  test statistics is greater than [tex]X^2[/tex] tabulated.

Conclusion: Since [tex]X^2 = 2.0942[/tex] is less than critical value 11.667. Then we fail to reject [tex]H_o[/tex]

factoring review 2 terms 1-8

Answers

Answer:

ok

Step-by-step explanation:

whats the question?

Question 1 of 10
What is the solution to this equation?
9x - 4(x - 2) = x + 20
A. X = 3
B. X = 7
C. X = -7
D. X = -3

Answers

Step-by-step explanation:

daddgeyeyeyeye daddd daddy safdad papap

A. x=3
9(3)-4(3-2)=3+23
23=23

5. Which of the following is an
example of corresponding
angles?
A. <8 and <4
B. <5 and <7
C. <1 and <7
D. <3 and <5

Answers

I believe that’s it’s either B or d
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