4.5.36
A smoke jumper jumps from a plane that is 1500 ft above the ground. The function h= -16? + 1500 gives the jumper's height hin feet during the free fall att seconds
a. How long is the jumper in free fall if the parachute opens at 1000 ft?
b. How long is the jumper in free fall if the parachute opens at 940 ft?
c. What is a reasonable domain and range for the function h? no

4.5.36A Smoke Jumper Jumps From A Plane That Is 1500 Ft Above The Ground. The Function H= -16? + 1500

Answers

Answer 1

Answer:

Step-by-step explanation:

Given function is h(t) = -16t² + 1500

a). For h(t) = 1000 feet,

   1000 = -16t² + 1500

   1000 - 1500 = -16t² + 1500 - 1500

   -500 = -16t²

    t² = [tex]\frac{500}{16}[/tex]

    t = [tex]\sqrt{31.25}[/tex]

    t = 5.59 sec

b). For h(t) = 940 feet,

   940 = -16t² + 1500

   940 - 1500 = -16t² + 1500 - 1500

   -16t² = -560

   t² = [tex]\frac{-560}{-16}[/tex]

   t = [tex]\sqrt{35}[/tex]

   t = 5.92 sec

c). For domain and range of the function,

  When the jumper comes down to the ground,

   h = 0

   0 =-16t² + 1500

   t² = [tex]\frac{1500}{16}[/tex]

   t = [tex]\sqrt{93.75}[/tex]

   t = 9.68 sec

  Since, x-values on the graph vary from x = 0 to x = 9.68,

  Domain : [0, 9.68]

  Vertex of the quadratic function: (0, 1500)

  Since, coefficient of the highest degree term is negative, parabola will open downwards.

  Therefore, y-values of the function will vary in the interval y = 0 to y = 1500

  Range: [0, 1500]  


Related Questions

you want 75,000 in your savings account 12 years from now and you are prepared to make equal annaul deposits into the account at the end of the year. if the account pays 6.8 percent interest, what amount must you deposit each year

Answers

Answer:

Annual deposit= $3,474.39

Explanation:

Giving the following information:

You want to have $60,000 in your savings account 12 years from now, and you’re prepared to make equal annual deposits into the account at the end of each year. The account pays 6.4 percent interest.

FV= {A*[(1+i)^n-1]}/i

A= annual deposit

Isolating A:

A= (FV*i)/{[(1+i)^n]-1}

A= (60,000*0.064)/[(1.064^12)-1]= $3,474.39

plz mark brainly

f(x) = -x -5, solve for x when f(x) = -6

Answers

Answer:

x = 1

Step-by-step explanation:

Jamel has 2 and 2/5 of string. Jamel needs 1/5 of a foot of string to sew a button to a shirt. What is the greatest amount of buttons he can sew onto the shirt with the rest of the string he has?

Answers

Answer:

it's 12

Step-by-step explanation:

2 and 2/5 divide by 1/5 is 12

Answer:

12

Step-by-step explanation:

I had this question on my test and the correct answer was 12

Use this expression to name each item. 7m3 + 6r2 – 3r - 8

Answers

Answer:

In the given expression [tex]7m^3 + 6r^2 - 3r - 8[/tex]

Variables = m, r

Coefficients = 7, 6 and -3

constant= -8

Step-by-step explanation:

We are given the expression [tex]7m^3 + 6r^2 - 3r - 8[/tex]

We need to give variable, coefficients and constant.

Variable: The value of variable may change. It can be represented by x, y or any other letter

Coefficients: A numerical or constant quality that is placed with the variable. For example in 4x, 4 is coefficient

Constant: It is fixed value. It cannot be changed.

So, in the given expression [tex]7m^3 + 6r^2 - 3r - 8[/tex]

Variables = m, r

Coefficients = 7, 6 and -3

constant= -8

Segment CD has point E located on it such that CE:ED = 3:5. If the endpoints are located at C(5, -6) and D(11,18) then what are the coordinates of E ?

Answers

Answer:

E(29/4,3)

Step-by-step explanation:

Given that,

Segment CD has point E located on it such that CE:ED = 3:5

The coordinates of C and D are (5, -6) and (11,18) respectively.

We need to find the coordinates of E. Let the coordinates are (x,y). Using section formula to find it as follows :

[tex](x,y)=(\dfrac{m_1x_2+m_2x_1}{m_1+m_2},\dfrac{m_1y_2+m_2y_1}{m_1+m_2})\\\\(x,y)=(\dfrac{3(11)+5(5)}{3+5},\dfrac{3(18)+5(-6)}{3+5})\\\\=\dfrac{29}{4},3[/tex]

So, the coordinates of E are (29/4,3).

so i have this question that says I was at a grocery store and my total is 35.25 but I get to the register and find out it is 25% off. what would be my final total?

Answers

25% off of 35.25 would be $26.4375

3+(-2)-(-3)-(5)+(-1)-(-7)=

Answers

Answer:

-1

Step-by-step explanation:

did math on caculator

The table below
A
3. Circle A has been enlarged to create circle
shows the circumference of both circles.
Circumference
Circle Circumference (inches)
2
5
A
6
A
15
O
1.5
Based on the information in the table, what scale factor was used
9
A
to create circle
?
O
2.5
CLEAR ALL

Answers

Answer:

[tex]Scale\ Factor = 1.5[/tex]

Step-by-step explanation:

See attachment for proper presentation of question.

From the attachment, we have:

[tex]A = 7[/tex]

[tex]A' = 10.5[/tex]

Required

Determine the scale factor

To solve this, simply divide the circumference of A' by that of A.

This gives the scale factor used

i.e.

[tex]Scale\ Factor = \frac{A'}{A}[/tex]

Substitute values for A and A'

[tex]Scale\ Factor = \frac{10.5}{7}[/tex]

[tex]Scale\ Factor = 1.5[/tex]

Hence, the scale factor used is 1.5

Additional Note:

If the given parameters had been the area of A and A', you'll need to first solve for the radius of both circles.

Then determine the scale factor by A'/A

Suppose that shoe sizes of American women have a bell-shaped distribution with a mean of 8.06 and a standard deviation of 1.52. Using the empirical rule, what percentage of American women have shoe sizes that are less than 9.58? Please do not round your answer.

Answers

Answer:

84%

Step-by-step explanation:

The Empirical rule formula states that:

68% of data falls within 1 standard deviations from the mean - between μ – σ and μ + σ

95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .

99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .

Mean = 8.06

Standard deviation = 1.52

Using the empirical rule, what percentage of American women have shoe sizes that are less than 9.58? Please do not round your answer.

Using the first rule if Empirical formula

68% of data falls within 1 standard deviations from the mean - between μ – σ and μ + σ

μ + σ

= 8.06 + 1.52 = 9.58

This satisfies one side of the distribution, hence:

100 - 68%

= 32%

P(x >9.58) = 32%/2 = 16%

Hence,the percentage of American women have shoe sizes that are less than 9.58 is

P(x < 9.58) = 100 - 16%

= 84 %

Which would be the best concluding sentence?
Tom wrote this paragraph:
Eating at Joe's Pizza Place is a delightful experience.
The food is freshly prepared right there in the
kitchen. Joe uses only the
freshest ingredients and
makes his own tomato sauce. He even makes
homemade sausage.
O Joe's wife, Emma, has decorated the restaurant
with great care.
O A mural on the wall shows Joe making his tomato
sauce at the Pizza Place.
O Joe also keeps a close eye on the servers and
makes sure customers are happy.
O Anyone who enjoys great food should plan a visit to
Joe's Pizza Place.
lol

Answers

the last one seems to be the best

Answer:

D

Step-by-step explanation:

can someone help me with this

Answers

Answer:

31°

Step-by-step explanation:

If ∠dab=55° and ∠cab=24° and ∠cab+∠dac=∠dab then all you need to do is subtract 55° and 24° to get 31°

Can y’all determine the measure of angle a

Answers

Answer:si

Step-by-step explanation:

How many fewer boys’ shoes were 19 cm long than 22 cm long?

Answers

Answer:

6 boys

Step-by-step explanation:

I had a quizlet

. Solve for x.
10xy=W

Answers

Answer:

x=W/10y

Step-by-step explanation:

PLSSSSSS HELPPPPPPPPPPPPPP I HAVE BEEN STUCK ON THIS PROBLEM IN MY HOMEWORK
Write the expression as a square of a monomial:

[tex]100x^{2} *0.36y^{4}[/tex]

Answers

100 is the answer I believe

Janice had an unpaid balance of $2358.19 on her credit card statement at the beginning of January. She made a payment of $80.00 during the month, and made purchases of $99.50. If the interest rate on Janice's credit card was 4% per month on the unpaid balance, find her finance charge and the new balance on February1.

Answers

Answer:

$2,639.19

Step-by-step explanation:

Her balance at the end of the month is

$2358.19 - $80.00 + $99.50 = $2537.69

So the finance charge is 2537.69 * 0.04% = $101.50

and her new balance is $101.50 + $2537.69 = $2639.19

6. f(x) = (x + 2). g(X) = (X+3) Find (fºg)(x)

Answers

Answer:

(f o g)(x) = x + 5

General Formulas and Concepts:

Algebra I

Combining Like Terms

Algebra II

Function Composition

Step-by-step explanation:

Step 1: Define

f(x) = x + 2

g(x) = x + 3

(f o g)(x) = f(g(x))

Step 2: Find

Substitute:                         (f o g)(x) = (x + 3) + 2Combine like terms:         (f o g)(x) = x + 5

Answer:

f(x+3)=x+5

Goodluck to you

How high would the rent have to be to qualify as an outlier

Answers

Answer:

1500+

Step-by-step explanation:

The following is a set of hypotheses, some information from one or more samples, and a standard error from a randomization distribution. Test H0 : p=0.28 vs Ha : p<0.28 when the sample has n=800, and p^=0.217 with SE=0.01.

Required:
Find the value of the standardized z-test statistic.

Answers

Answer:

Z = -6.3

Step-by-step explanation:

Given that:

[tex]\mathbf{H_o :p= 0.28}[/tex]

[tex]\mathbf{H_o :p < 0.28}[/tex]

Since the alternative hypothesis is less than 0.28, then this is a left-tailed hypothesis.

Sample sixe n = 800

[tex]\hat p[/tex] = 0.217

The standard error [tex]S.E(p) = \sqrt{\dfrac{p(1-p)}{n}}[/tex]

[tex]S.E(p) = \sqrt{\dfrac{0.28(1-0.28)}{800}}[/tex]

[tex]S.E(p) \simeq0.015[/tex]

Since this is a single proportional test, the test statistics can be computed as:

[tex]Z = \dfrac{\hat p - p}{\sqrt{\dfrac{p(1-p)}{n}}}[/tex]

[tex]Z = \dfrac{0.217- 0.28}{0.01}[/tex]

Z = -6.3

solve with steps please?​

Answers

Answer:

Step-by-step explanation:

m∠1 = x

m∠2 = 3x

m∠3 = ( [tex]\frac{1}{3}[/tex] )(3x) = x

x + 3x +x = 180°

x = 36°

m∠1 = 36°

m∠2 = 108°

m∠3 = 36°

What is the slope-intercept form of a line that contains the point (0,3) and a slope =-2?

PLZ HELPP MEEE!!

Answers

Answer:

C.

Step-by-step explanation:

-2 is in front of x so thats gonna be the slope

and +3 is the y-intercept

4x + 11y = 7
4x + 3y = -1

Answers

Answer:

x= - 1

y= 1

Step-by-step explanation:

qwertyuiopsknzvzbjzjjs

cions: 5

3. Raymond is reproducing his favorite painting. The original painting is 48 inches

long and 36 inches wide. If Raymond's canvas is 36 inches long, how wide will it

need to be for the reproduction to be proportional to the original?

18 inches

48 inches

24 inches

27 inches

Answers

La la la la ma ma ma aka boo aka lala al aka aka a la aka lala la aka aka aka la aka aka aka la ka aka aka aka aka aka aka aka aka la aka aka aka aka aka aka aka aka aka a aka aka

How many is 3+7??staijsvsvsgsusidvsvsuoshsgsusisishsbvsss

Answers

Answer:

10

Step-by-step explanation:

the sum of 8.23, 7.96 and 17.65​

Answers

Answer:

इएइहेइएबे!!न्बेओएहेजेने

Will you always be able to use rigid transformations to verify that two shapes are congruent or not congruent? If yes, why is that the case? If not, why not? ( plz answer its a big grade plzzz thx you to whoever helps)

Answers

Answer:

Yes

Step-by-step explanation:

Evaluate the expression 3.14(a2 + ab) when a = 4 and b = 2. (Input decimals only, such as 12.71, as the answer

Answers

Answer:

3.14((4^2)+(4)(2))

3.14(16+8)

3.14(24)

=75.36

You just want to plug in the values of a and b into the equation and solve using order of operations. Hope this helps!

Step-by-step explanation:

What equation shows how to use equivalent fractions to evaluate 2/5 + 3/4

Answers

Answer:

Step-by-step explanation:

Exact form: 23/20

Decimal form: 1.15

HELP PLEASE ASAP
Which of the following is not equivalent to the following expression 2x^2 -16

Answers

Answer:

Option C. 2(x + 8)

Step-by-step explanation:

To know which option is the correct answer, let us simplify each expression given in the options to know which will not result to 2x² – 16. This is illustrated below:

For Option A:

2x² + 4x – 4x – 16

= 2x² – 16

For Option B:

2(x² – 8)

Clear bracket

2x² – 16

For Option C:

2(x + 8)

Clear bracket

2x + 8

For Option D:

(4x² – 32) /2

4x²/2 – 32/2

2x² – 16

From the above illustration, option C did not result to 2x² – 16.

Therefore, option C is the answer to the question.

i need to learncmy 9 year old how to multiply ​

Answers

Answer:

Step-by-step explanation:

get them some multiplication charts and use some examples like oreos or any type of cookies.

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