In a freefall skydive, a skydiver begins at an altitude of 10,000 feet. during a freefall, the skydiver drops toward earth towards earth at a rate of 175 ft per second. the height of the skydiver from the ground can be modeled using the function H(t)=10,000-175t.
What is the domain of the function for this situation?

In A Freefall Skydive, A Skydiver Begins At An Altitude Of 10,000 Feet. During A Freefall, The Skydiver

Answers

Answer 1

Answer:

{[tex]t|0\leq t\leq 50[/tex]}

Step-by-step explanation:

We are given that

In a freefall skydive, a skydiver begins at an altitude during free fall =10,000 feet

The skydiver drops towards earth at a rate=175 ft/s

The height of the skydiver from the ground can be modeled using the function

[tex]H(t)=10000-175t[/tex]

We have to find the domain of the function for this situation.

When t=0

Then ,[tex]H(0)=10,000 feet[/tex]

From given graph we can see that the value of t  lies  from 0 to 50.

Therefore, the domain of the function for this situation is given by

{[tex]t|0\leq t\leq 50[/tex]}


Related Questions

Can you help me with these questions

Answers

Answer:

7) Unfilled dot at 5 with a line going right

8) A filled dot at 8 with a line going right

9) Unfilled dot at 22 with a line going left

10) A filled dot 13 with a line going left

11) x < 9

12) x > 14

13) x ≤ 11

14) x ≥ 7

Step-by-step explanation:

> means greater than

≥ means greater than or equal to

< means less than

≤ means less than or equal to

If something is greater than the given number then the variable increases in value and will be on the right side of the number line

If something is less than the given number then the variable decreases in value and will be on the left side of the number line

If a variable is < or > the dot is unfilled because it does not include that number

If a variable is ≤ or ≥ the dot is filled because it includes the given number

Please help!!! Will give brainliest!

Answers

Answer:hhhhhhhhhbbbbb

Step-by-step explanation:

44444444

(3/5x + 4) + (1/5x -1)

Answers

Answer:

4/5x+3

Step-by-step explanation:

remove the useless parenthesis, then calculate the x sum then the normal numbers sum

The volume of a cube is 571.787 cubic inches. What is the length of each side of the cube?

Answers

Answer:

8.8in

Step-by-step explanation:

cube 571.787

answer pls with a detailed explanation

Answers

Answer:

SA = 225 cm²

Step-by-step explanation:

The given pyramid dimensions are;

The length of the rectangular base of the pyramid, l = 12 cm

The width of the base, w = 6 cm

The area of the rectangular base, Aₐ = 12 cm × 6 cm = 72 cm²

The height of one of the triangles forming the side of the pyramid, h₁ = 8 cm

The base length of the above triangle, b₁ = 12 cm

The area of the above triangle, A₁ = (1/2)×12 cm × 8 cm = 48 cm²

The height of the other of the triangles forming the other side of the pyramid, h₂ = 9.5 cm

The base length of the above triangle, b₂ = 6 cm

The area of the above triangle, A = (1/2) × 9.5 cm × 6 cm = 28.5 cm²

The surface area of the pyramid, SA = Aₐ + 2 × A₁ + 2 × A₂

Therefore;

SA = 72 cm² + 2 × 48 cm² + 2 × 28.5 cm² = 225 cm²

SA = 225 cm²

find f(3) if f(x) = -4x + 1?

Answers

Answer:

f (3) equals -11

Step-by-step explanation:

f (x) = -4x + 1

For f(3), just substitute 3 in the place of x:-

f (3) = -4 x 3 + 1

f (3) = -12 + 1

f (3) = -11

Answer:

-11

Step-by-step explanation:

where x is out -3 so it would look like

-4(3)+1

which is -11

you do -4 * 3 first which = -12 than add one you will get -11

I need correct answers asap, if you have Inst4gr4m and you're good at math and can help me with 28 m0re questions, I'll be so much more than thankful ​

Answers

Answer:

6 hours

Step-by-step explanation:

Research is 5%, Games is 25%, so the diffrence is 20%

20%  of 30 hours = 30 x2/10 = 6 hours

Tremaine played 6 hours more video games than research.

Answer:

F

Step-by-step explanation:

We can use a proportions to solve this problem:

time of researches (in percentages 100% is used to indicate the total)

5 : 100 = x : 30

x = (5 * 30)/ 100 = 1.5

time of games

25 : 100 = x : 30

x = (25 * 30)/100 = 7.5

7.5 - 1.5 = 6 hours

An art teacher bought a pack of 96 drawing sheets.She kept aside 12 sheets for later use and distributed the remaining equally among 6 students. How many sheets did each student get?

Answers

Answer:

14

Step-by-step explanation:

First, find out how many she had to distribute

96 - 12 = 84

Now divide 84 by the number of students

84/6=14

When you do all of that math you should have a answer of 14

WHich of the following has the steepest slope?
a. y = -4x + 1
b. y = 2x + 3
c. y = x+6
d. y = -3x - 4

Answers

Answer: Choice A)  

y = -4x+1

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

Explanation:

The general format of a linear equation can be written as y = mx+b

m = slope

b = y intercept

The steepest slope is the value of m that is furthest away from zero. If m > 0, then we're looking for the largest value of m or value to the right of 0. If m < 0, then we're trying to get as left as possible.

Of the choices we have, choice A has the m value furthest from 0. If you want, you can make each slope positive and then compare to see which slope is largest.

please help meeeeeeeeeeeee

Answers

Answer:

First Problem: 9

Second Problem: Not, Is, Is, Not, Not

Third Problem: n = 18

Step-by-step explanation:

First Problem: [tex]3^{6+4}/3^{8}[/tex] =3^2 = 9

Second Problem: 11^24

Third Problem: 7^30/7^12=7^n

At the start of a fair, there are 500 tickets inside the tombola drum. There are 75 winning tickets available. What is the probability that a)The first ticket taken out of the drum is a winning ticket? b)The second ticket taken out of the drum is also a winning ticket (HOTS)

Answers

Answer:

A 4 digit PIN is selected. What is the probability that there are no repeated digits?

There are 10 possible values for each digit of the PIN (namely: 0, 1, 2, 3, 4, 5, 6, 7, 8, 9), so there are 10 × 10 × 10 × 10 = 104 = 10000 total possible PINs.

To have no repeated digits, all four digits would have to be different, which is selecting without replacement. We could either compute 10 × 9 × 8 × 7, or notice that this is the same as the permutation 10P4 = 5040.

The probability of no repeated digits is the number of 4 digit PINs with no repeated digits divided by the total number of 4 digit PINs. This probability is

¿Qué es un binomio al cuadrado perfecto?

Answers

Un binomio al cuadrado es una suma algebraica que se suma por sí misma, es decir, si tenemos el binomio a + b, el cuadrado de ese binomio es (a + b) (a + b) y se expresa como (a + b)2. ... Se le llama cuadrado perfecto, porque el resultado de su raíz cuadrada siempre es un binomio.

A researcher reports an F-ratio with df between = 3 and df within = 40 from an independent-measures ANOVA. How many treatment conditions were compared in the experiment?

Answers

There were 4 treatment conditions compared in the experiment.

When using independent-measures ANOVA (Analysis of Variance), the F-ratio is determined by contrasting the variability within and between treatment conditions.

The ratio of these two variances is known as the F-ratio.

Degrees of freedom (df) within a treatment condition are denoted as df within, and df between denotes the df between treatment conditions.

The formula for calculating the F-ratio is:

F = (Variance between groups) / (Variance within groups)

Given that the df between = 3 and df within = 40, we can use this information to find the number of treatment conditions (groups) compared in the experiment.

The number of treatment conditions (groups) can be calculated using the formula:

Number of groups = df between + 1

Therefore, in this case:

Number of groups = 3 + 1 = 4

So, there were 4 treatment conditions compared in the experiment.

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Solve for r.
0.5(r +2.75) = 3

Answers

Answer:

r = 3.25

Step-by-step explanation:

Start by eliminating the decimal fraction 0.5:  2(0.5)(r + 2.75) = 2(3) = 6

Then we have r + 2.75 = 6.

Isolate r by  subtracting 2.75 from both sides.  This leaves us with

r = 6 - 2.75 = 3.25.

r = 3.25

Alex and payton each have a favorite pancake recipe. Alexs recipe uses 7 1/2 cups of flour for 5 batches, paytons recipe uses 3/4s cup of flour more per batch than alexs recipe ises for batch. What expression can be used to determine the number of cups of flour used to make z batches of paytons pancake recipe

Answers

Answer:

9/4z cups

Step-by-step explanation:

Alex recipe uses 7 1/2 cups of flour for 5 batches

Cups of flour per batch = 7 1/2 cups ÷ 5 batches

= 15/2 ÷ 5

= 15/2 × 1/5

= (15*1)/(2*5)

= 15/10

Alex recipe per batch= 3/2 cups of flour per batch

paytons recipe uses 3/4 cup of flour more per batch than alexs recipe

Payton's recipe per batch = Alex recipe per batch + 3/4 cups

= 3/2 + 3/4

= (6+3)/4

= 9/4 cups of flour

Payton's recipe per batch = 9/4 cups of flour

What expression can be used to determine the number of cups of flour used to make z batches of paytons pancake recipe

Payton's recipe for z batches = Payton's recipe per batch * number of batches

= 9/4 cups * z batches

= 9/4z cups

Payton's recipe for z batches = 9/4z cups

Can somebody please please pleaseeee answer this? thank you so much you mean the world to me

Answers

Both tests have outliers because outliers are the parts that aren’t with the rest of the chart in this case the outlier in the first chart would be 50 and in the second one it would be 40 :)

Use long division to find the quotient below.
(2x3 + x2 + 25) /(2x+5)

Answers

Answer:

x^2               -2x              +5

Step-by-step explanation:

x^2               -2x              +5

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

2x + 5  /    2x^3      +     x^2       +    0x         + 25

              -(2x^3      +   5x^2)

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

                                   -4x^2       +    0x        

                                 -( -4x^2      -    10x )

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

                                                          10x           + 25

                                                        -(10x            + 25)

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

                                                                                  0

The desired quotient is x^2               -2x              +5

             

Please help!!
I'll give brainlist!

Answers

Step-by-step explanation:

Perpendicular : means two lines meet at 90°

1) angle B = 90° - 50°

= 40°

2) Angle D = 90° - 30°

= 70°

Which equations have no real solution but have two complex solutions? A 3x>2-5=-8 b 2x>2=6x-5 c 12x=9x>2 +4 d -x>2 - 10x =34

Answers

Answer:

[tex]3x^2-5x=-8[/tex]

[tex]2x^2=6x-5[/tex]

[tex]-x^2-10x=34[/tex]

Step-by-step explanation:

The equations are:

[tex]3x^2-5x=-8[/tex]

[tex]2x^2=6x-5[/tex]

[tex]12x=9x^2+4[/tex]

[tex]-x^2-10x=34[/tex]

(a) [tex]3x^2-5x=-8[/tex]

Add 8 to both sides

[tex]3x^2 - 5x + 8 =0[/tex]

To do this, we simply calculate the discriminant (d) using:

[tex]d =b^2 - 4ac[/tex]

If [tex]d < 0[/tex]

Then it has complex roots

Where: [tex]a = 3; b = -5; c = 8[/tex]

[tex]d = (-5)^2 - 4 * 3 * 8[/tex]

[tex]d = 25 - 96[/tex]

[tex]d = -71[/tex]

[tex]-71 < 0[/tex] --- complex root

(b) [tex]2x^2=6x-5[/tex]

Equate to 0

[tex]2x^2 - 6x + 5 = 0[/tex]

[tex]d =b^2 - 4ac[/tex]

[tex]d = (-6)^2 - 4 * 2 * 5[/tex]

[tex]d = 36 - 40[/tex]

[tex]d =-4[/tex]

[tex]-4 < 0[/tex] --- complex root

(c) [tex]12x=9x^2+4[/tex]

Equate to 0

[tex]9x^2 - 12x + 4 = 0[/tex]

[tex]d =b^2 - 4ac[/tex]

[tex]d = (-12)^2 - 4 * 9 * 4[/tex]

[tex]d = 144 - 144[/tex]

[tex]d = 0[/tex] ---- real roots

(d) [tex]-x^2-10x=34[/tex]

Equate to 0

[tex]-x^2 - 10x - 34 = 0[/tex]

[tex]d =b^2 - 4ac[/tex]

[tex]d = (-10)^2 - 4 * (-1) * (-34)[/tex]

[tex]d = 100 - 136[/tex]

[tex]d = - 36[/tex]

[tex]-36 < 0[/tex] ---- complex root

Factor the expression 35x – 7.
A) -7(5x – 1)
B) -7(5x + 1)
C) 7(5x + 1)
D) 7(5x – 1)

Answers

Answer:

D) 7(5x-1)

Step-by-step explanation:

35x -7

7*5x -7*1

7(5x-1)

Answer:

D) 7(5x-1)

Step-by-step explanation:

35x-7

7(5x-1)

Help me find answer ASAP please

Answers

Answer:

C

Step-by-step explanation:

thanks to the given informations we can say that the right triangle is half of an equilater one.

the height of the triangle can be find by multiplying the smallest leg with √3

so

x√3 = 8

x = 8/√3

that can be expressed as 8√3/3

83

3

Step-by-step explanation:

This triangle is 30-60-60 and to get side 8 is equal to x√3

Show all work. Write the equation of the line in slope intercept form (-5, -5) & (-1, 3)

Answers

Answer:

y=2x+14

Step-by-step explanation:

m=3-(-5)=2

   -1-(-5)

so the slope is 2

to write the equation

y-y1=m(x-x1)

we will take the mid

-5+(-1)=-6

-5+3=2

y-2=2(x-(-6))

y-2=2x+12

y=2x+14

Answer:

y  =2x + 5

Step-by-step explanation:

y2 - y1 / x2 - x1

3 - (-5) / -1 - (-5)

8 / 4

2

y = 2x + b

3 = 2(-1) + b

3 = -2 + b

b = 5

2hours to 1day as a ratio in its simplest form​

Answers

Answer:

Step-by-step explanation:

convert 1 day into hours

1 day=24 hour

2/24

=1/12

1 day = 24 hours

So,

2 hours : 1 day

2 hours : 24 hours

1 : 12

4(x-11)=19 solve for x

Answers

Answer:

x = 63/4  or 15 3/4

Step-by-step explanation:

4(x-11)=19

Distribute

4x -44 =  19

Add 44 to each side

4x-44+44 = 19+44

4x = 63

Divide by 4

4x/4 = 63/4

x =15 3/4

Answer:

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]4(x - 11) = 19 \\ 4x - 44 = 19 \\ 4x = 19 + 44 \\ 4x = 63 \\ x = \frac{63}{4} \\ x = 15.75[/tex]

The value of x is 63/4 (in fraction form) OR 15.75 (in decimal form).

ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ

# ꧁❣ RainbowSalt2²2² ࿐

(trigonometry) solve for x

Answers

Answer:

x°=40.7°

Step-by-step explanation:

Sin(x°)=15/23

x°=Sin^-1(15/23)=40.7°

A parabola with the equation y=a(x-b)^2+c has a minimum of (-2,1) and a y-intercept of 5. What are the values of a, b and c? What are the x-intercepts?

Answers

Answer: 3^15

Step-by-step explanation: carry the one to the 5 divide by the third and multiply the fractions , find the mean ( average ) of the mode and square that to find your a b and c values

A part of the city of New Orleans is 6 feet below sea level. We can use "-6 feet" to describe its
elevation, and "|-6 feet" to describe its vertical distance from sea level. In the context of
elevation, what would each of the following numbers describe?
a.
25 feet
b.
125 feet
I
C.
-8 feet
d.
1-80 feet
The elevation of a city is different from sea level by 10 feet. Name the two elevations that the

Answers

Answer:

[-8]

Step-by-step explanation:

An absolute value of |x| {modulus of x} is the value of a real number x. The option A and C represents elevation, while B and D represents vertical distance from sea level.

What is an Absolute Value?

An absolute value of |x| {modulus of x} is the value of a real number x, the value we get is always a non-negative number, for example, |-5| will give 5, also, |5| will give 5 as well.

Given that you can use "-6 feet" to describe its elevation, and "|-6 feet|" to describe its vertical distance from sea level. Therefore, each of the number will describe the following things.

A. 25 feet → 25 feet above sea level

B. |25| feet → 25 feet from sea level

C. -8 feet → 8 feet below sea level

D. |-8| feet → 8 feet from sea level

Hence, The option A and C represents elevation, while B and D represents vertical distance from sea level.

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the coordiantes of three vertices of a square are (4,14), (10,14), and (4,8). what are the coordinates of the missing vertex

Answers

Answer:

(10, 8)

Step-by-step explanation:

The missing vertex can be found by plotting the given coordiantes on a graph.

Susan has 4 chickens, and over the past two weeks, she has gotten 3 eggs per day. What is the experimental probability that she will get 3 eggs tomorrow?

Answers

Answer:

[tex]Pr(egg) = \frac{3}{14}[/tex]

Step-by-step explanation:

Given

[tex]Days = 14[/tex] --- 2 weeks

[tex]Eggs = 3[/tex] --- daily

Required

The experimental probability of getting 3 eggs tomorrow

This is calculated as:

[tex]Pr(egg) = \frac{Eggs}{Days}[/tex]

Substitute values for eggs and days

[tex]Pr(egg) = \frac{3}{14}[/tex]

A table of values of a linear function is shown below.


Find the slope and y-intercept of the function's graph, and find the equation for the function.

Answers

slope: -3
y-intercept: (0,-7)
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