Part D: Write an equation that would represent the

number of seconds it took the skydiver to reach a

height of 400 meters and use the equation to solve for

that time.

Part E: What is an appropriate domain for the

situation

A 0
B. 0
C. Sy s 44.7

DO Sy 5 760

Answers

Answer 1

Answer:

The answer is below

Step-by-step explanation:

The question is not complete, the complete question is:

A skydiver is 760 meters above the ground when he opens  his parachute. After opening the parachute, he descends  at a constant speed of 17 meters per second.

a) A function gives a relationship between two variables (an independent and dependent variable). The dependent variable is dependent on other variables  (output) while the independent variable is not dependent on other variables (input).

Let x be the number of seconds after the parachute is opened and y be the height of the parachute above the ground. Hence the equation that models the situation is:

y = 760 - 17x

At a height of 400 m, the number of seconds is:

y = 760 - 17x

400 = 760 - 17x

17x = 760 - 400

17x = 360

x = 21.2

x ≅ 21 seconds

It takes 21 seconds to reach a height of 400 m

b) Domain is the set of all independent variables. In this case the independent variable is the time (x)

The minimum time is at y = 760

y= 760 - 17x

760 = 760 - 17x

17x = 0

x = 0

The maximum time is at y = 0

y= 760 - 17x

0 = 760 - 17x

17x = 760

x = 44.7

Hence the domain = 0 ≤ x ≤ 44.7


Related Questions

factor of 6x^3+6 which of the followinv is a factor of

Answers

Answer:

₹6₹-2626366266283+3;04645458488465449-4%76+

Step-by-step explanation:

x Chromosome g xa gd gs46736_--636_-'H

HEHEHDGEGE

6363;

63-

Will vote brainiest!!!! Please hurryy!!!!!! Have a great day!!!!! Hikgjorh

Answers

Answer:

a = - 1.1

Step-by-step explanation:

The condition for a single variable function f(x) to be decreasing is f'(x) < 0.

f(x) = 4/x^2 - 6x + 9

Then, differentiating with respect to x on both sides we get,

f(x) = 4(-2)(1/x^3) - 6 < 0

-8/x^3  - 6 < 0

8/x^3 + 6 > 0

{Dividing both sides with - 1 and hence the inequality sign changes}

8/x^3 > -6

8 > - 6x³ {Multiplying both sides with x³}

6x³ > - 8 {Interchanging the sides}

x^3 > -8/6

⇒ x > - 1.1

So,  a = - 1.1

Answer:

  a = 3

Step-by-step explanation:

The function can be written as ...

  f(x) = 4/(x -3)^2

This has a vertical asymptote at x=3 and will be decreasing for all values of x to the right of that -- on the interval (3, ∞).

  a = 3

Find the cardinal number of the set
C = {x|x € N, 30 < x < 56 and x is divisible by 6},

Answers

Answer: 4

=====================================================

Explanation:

We're given the following

[tex]C = \{ x | x \in \mathbb{N}, \ 30 < x < 56, \ \text{ x is divisible by 6}\}[/tex]

which means that we have a set of natural numbers between 30 and 56, excluding both endpoints, and the set of numbers are also multiples of 6.

So looking at the multiples of 6 that are between 30 and 56 leads us to

{30, 36, 42, 48, 54}

but we cross off 30 as we want x to be larger than that, so we get this updated final list

{36, 42, 48, 54}

There are four items in this final list so the cardinality of the set described is 4. The cardinality is just the number of items in a given set.

What are some combinations you can buy for lunch?

How much are you spending on your choice

Answers

Answer:

You can spend all of the money by getting 1 sandwich and 2 things of chips

Step-by-step explanation:

1 sandwich =4$

1 bag of chips =3$

4 + 3 =7

7+ 3= 10

5. Box A contains one white ball and two red balls. Box B contains one white ball and three red balls. A ball is picked at random from box A and put into box B and mixed around. A ball is then picked at random from box B. What is the probability that this final pick is white

Answers

Answer: 7/12

Step-by-step explanation:

given data:

Box A

white ball = 1

red ball = 2

total ball = 3.

Box B

white ball = 1

red ball = 3

total ball = 4

Probability of picking a white ball as the final pick.

= 1/3 + 1/4

get the LCM = 12

= 4*1 + 1*3 /12

= 4 + 3 /12

= 7/12

The quotient of a number and
four is two

Answers

Answer:

x/4=2

Since it's not said, the number represent a variable which we'll write as "x". The word "is" means "equals".

Evaluate if x = 2 and y = -4: x³ + y² *

Answers

Answer:

=24

Step-by-step explanation:

Evaluate for x=2,y=−4

23+(−4)2

23+(−4)2

plz answer this i will marku pleeeeeeeeeezz​

Answers

Answer:

x= 105 also because it's a z angle

y= 180-105

=75

x=z which is 105, because they are alternative angles.

The given angle of 105 and angle z are consecutive interior angles and need to equal 180 degrees.

Z = 180-105 = 75 degrees

Angle z and angle c are vertical angles and are identical so angle x also equals 75 degrees

Angle y and 105 are supplementary angles and when added equal 180

Angle y is 180-105 = 75

X, y and z are all 75 degrees

I need to finish this to once again leave my zoom class because literally its been 10 minutes after the bell is supposed to ring

Answers

Answer: 40 laps per hour

Step-by-step explanation:

1 hour x 5 days = 5 hours

5 hours x 12 weeks = 60 hours

Now do 2,400 laps divided by 60 hours and you get 40 laps per hour

I need know what is x .

Answers

Answer:

x is 4

Step-by-step explanation:

21x+6 = 90

21x=84

x=4

Answer:

21 x +6 =90⁰( Alternate exterior angles)

=) 21x =84

=) x =84/21 = 4

Jan has 18 cards. Ray gives her v cards. Jan now has less
than 30 cards.
Which best describes Jan's cards?
a
y + 18 < 30

1 – 18 > 30
c
V - 18 < 30
Od
v + 18 > 30
Question 4 25 points)

Answers

Answer:

A. V + 18 < 30

Step-by-step explanation:

First of all, less than is the sign that points to the left,

Secondly, I'm guessing that y is actually V,

Before Ray gave Jan cards, she had 18,

so it is 18 plus V (the number of cards Ray gave her),

SO,

V + 18 < 30

Molly has $45 in her wallet, which is 3 times as much money as her brother has.

Answers

Answer:

Her brother has $15

Step-by-step explanation:

How come Molly has $45 which is as 3 times as much money as her brother has, we divide 45 by 3 which gives us $15.

(I don't really know what your question is but I hope this helped.)

Can someone please answer this equation?

Answers

Answer:

4

Step-by-step explanation:

4

which of these results from a decrease in the price of dvds?
a increase in demand
b decrease in quantity demand
c decrease in demand
d increase in quantity demand

Answers

Answer:

D.

Step-by-step explanation:

D.Increase in quantity demand..

one real world example of when we use rates and unit rates is _________.

Answers

In Sporting Events

Step-by-step explanation:

When comparing quantities you simplify which is your change fr the money you gave or your Tip you gave.

Answer:

Economics!

Step-by-step explanation:

I'll keep it brief, I'm in a class.

Say you're gain a certain amount of money, and losing some as well.

Find the difference, you got your rate, so you just graph it!

Stay Safe!

Multiply, Express your answer in simplest form. 5/8 x 24​

Answers

Answer: 15

120/8 = 60/4 = 15

Answer:

15

Step-by-step explanation:

Please help me thank you

Answers

Answer:

(-3,2)

Step-by-step explanation:

Brackets cannot be mixed with other types of punctuation like these { }, [ ]. Once you use a bracket, you have to close the sentence or equation with a closed bracket. Ex: (Like this) Maths equation: 3 x (4/5) + 19=

Gold mines in northern Nevada produce an average of 3.2 grams of gold per short ton (2,000 pounds) of ore. The value of gold is usually reported in troy ounces (ozt), and a troy ounce is equal to 31.1 grams (g). On average, how many troy ounces of gold are extracted from one short ton of Nevada ore

Answers

Answer:

0.1028938

Step-by-step explanation:

Given the following :

Average gold production in Northern Nevada =3.2 grams per short ton (2000 pounds)

Value of gold is measured in Troy ounces (ozt)

1 Troy ounces = 31.1 grams(g)

Number of Troy ounces of gold extracted from one short ton of Nevada ore ; let the number be t:

1 ozt = 31.1 g

t = 3.2 g

Cross multiply :

31.1 × t = 3.2 × 1

31.1t = 3.2

t = 3.2 / 31.1

t = 0.1028938 ozt

Hence, On average, 0.1028938 ozt of gold is extracted from one short ton of Nevada ore

T(d) is a function that relates the number of tickets sold for a movie to the number of days since the movie was released.
The average rate of change in TQ) for the interval d = 4 and d = 10 is 0. Which statement must be true?
O The same number of tickets was sold on the fourth day and tenth day.
O No tickets were sold on the fourth day and tenth day.
O Fewer tickets were sold on the fourth day than on the tenth day.
More tickets were sold on the fourth day than on the tenth day.

Answers

Answer: The same number of tickets was sold on the fourth day and tenth day.

Step-by-step explanation:

Given: [tex]T(d)[/tex] is a function that relates the number of tickets sold for a movie to the number of days 'd' since the movie was released.

Also, the  average rate of change in T(d) for the interval d = 4 and d = 10 is 0.

Since the average rate determines the rate of change in the dependent variable (T(d)) with respect to the independent variable (d).

It means that there is no change from 4th day to 10th day in the number tickets sold.

Hence, the correct option is "The same number of tickets was sold on the fourth day and tenth day."

Answer:

A

Step-by-step explanation:

Which represents the solution set of the inequality 6x-9​

Answers

Answer:

3(2x-3)

Step-by-step explanation:

6x-9 Common factor is 3

6x/3 = 2x

-9/3 = -3

3(2x - 3)

-3/4x <12

show step by step

Answers

Answer: x<-1/4

Step-by-step explanation:

Given

-3/x<12

Multiply x on both sides

-3/x · x<12 · x

-3<12x

Divide 12 on both sides

-3 / 12 < 12x / 12

-1/4<x

BRAINLIEST TO THE FIRST PERSON TO ANSWER!!Maria solved an equation as shown below.

3 (x + 6) = 5 (x minus 4). 3 x + 18 = 5 x minus 20. 38 = 2 x. 19 = x.

What is the solution to Maria’s equation?
19
38
no solution
infinitely many solutions

Answers

Answer:

19

Step-by-step explanation:

3(x + 6) = 5(x - 4)

Distribute on both sides.

3x + 18 = 5x - 20

Subtract 3x from both sides. Add 20 to both sides.

38 = 2x

Divide both sides by 2.

19 = x

Maria followed the steps shown above and solved the equation correctly.

The solution is x = 19.

Answer: x = 19

Answer:

A. 19

Have a great day :D

3x-24=5x what’s the answer

Answers

Answer:

x = -12

Step-by-step explanation:

3x-24=5x

3x-5x=24 (move x's to same side by adding 24, and subtract 5x)

-2x = 24 (combine like variables, 3x-5x)

x = -12 (divide by -2)

Divide $9000 in the Ratio 3:1:6.

Answers

Answer:

The ratio of monthly income to the savings in a family is 5 : 4 If the savings be $9000, find the income and the expenses.

2. What should be added to the ratio 5 : 11, so that the ratio becomes 3 : 4?

3. Two numbers are in the ratio 7 : 5. If 2 is subtracted from each of them, the ratio becomes 3 : 2. Find the numbers.

4. Two numbers are in the ratio 3 : 7. If their sum is 710, find the numbers.

What is 90.125 written in expanded form? A. 9 × 10 + 1 × 1 + 2 × 1 10 + 5 × 1 100 B. 9 × 1 + 1 × 1 10 + 2 × 1 100 + 5 × 1 1 , 000 C. 9 × 10 + 1 × 1 10 + 2 × 1 100 + 5 × 1 1 , 000 D. 9 × 1 + 1 × 1 100 + 2 × 1 1 , 000 + 5 × 1 10 , 000

Answers

Using digit concepts, it is found that, in expanded form:

[tex]90.125 = 9 \times 10^1 + 0 \times 10^0 + 1 \times 10^{-1} + 2 \times 10^{-2} + 5 \times 10^{-3}[/tex]

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

Each number can be divided into an integer part and a decimal part. For 90.125, the integer part is 90 and the decimal part is 0.125.In the integer part, starting from the last digit, each is multiplied by the "next" power of 10, thus:

[tex]90 = 0 \times 10^{0} + 9 \times 10^{1} = 9 \times 10^{1} + 0 \times 10^{0}[/tex]

For the decimal part, starting from the first decimal digit, the same logic applies, using negative powers of 10 starting at -1, thus:

[tex].125 = 1 \times 10^{-1} + 2 \times 10^{-2} + 5 \times 10^{-3}[/tex]

Combining the integer and decimal parts, we get that the number in expanded form is:

[tex]90.125 = 9 \times 10^1 + 0 \times 10^0 + 1 \times 10^{-1} + 2 \times 10^{-2} + 5 \times 10^{-3}[/tex]

A similar problem is given at https://brainly.com/question/17574571

Answer:

B is right

Step-by-step explanation:

Stephanie has 3.5 bags of soil to put in her garden. Each bag of aoil will cover 125.3 ft2. How many square feet will stephanie be able to cover if she uses all these bags of soil?

Answers

Answer:

438.55 ft²

Step-by-step explanation:

1 bag = 125.3 ft²

3.5 bags = 125.3 • 3.5 ft²

= 438.55 ft²

Answer:

Step-by-step explanation:

125.3*3.5

438.55

solve 3(3x - 6) = 18

Answers

Steps to solve:

3(3x - 6) = 18

~Distribute left side

9x - 18 = 18

~Add 18 to both sides

9x = 36

~Divide 9 to both sides

x = 4

Best of Luck!

Answer:

x = 4

Step-by-step explanation:

Let's work on isolating (3x - 6).  Start by dividing both sides of 3(3x - 6) = 18 by 3, obtaining:

3x - 6 = 6.

Next, add 6 to both sides:

3x = 12

Finally, divide both sides by 3:

x = 4

given f(x)=9+2x find f(3)

Answers

Answer:

15.

Step-by-step explanation:

f(x)=9+2x

x = 3, so f(3) = 9 + 2(3)

= 15.

f(0) = 2 and f(2) = 4

Answers

Answer:

Use the slope formula and slope-intercept form  

y

=

m

x

+

b

to find the equation.

f

(

x

)

=

3

x

1

Step-by-step explanation:

Answer:

Since we get '2' as an output when we input '0'

So, the function must be increasing the value of x by 2

We see that happen in the second case as well, as our input is incremented by 2

Hence, we can say that

f(x) = x + 2

Kindly Mark Brainly, Thanks

use grids to find the factor pairs for 48

Answers

Answer:

1 x 48, 2 x 24, 3 x 16, 4 x 12, or 6 x 8. Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24,

Step-by-step explanation:

u need to find the highest common factor

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