The function y = -16x2 + 1500 gives a parachute jumper's height y in feet
after "X" seconds for a jump from 1500 feet. How long is free fall if the
parachute opens at 1100 feet?

Answers

Answer 1

Answer:

Step-by-step explanation:

so the question is asking about the time from 1500 feet to 1100 feet.  How long did they fall, w/o a parachute.    aka   "freefall"   so,   at 1500 feet the jumper is really at time zero.   so, plug in to the formula

1100 = -16[tex]x^{2}[/tex] +1500  

( x represents seconds so i'll change it to t so we know it's time )  

1100 = -16[tex]t^{2}[/tex] + 1500

now we can solve for t  , to see how long the jumper falls

-400 = - 16[tex]t^{2}[/tex]      ( subtracting 1500 from both sides of equation )

25 = [tex]t^{2}[/tex]      ( dividing both sides by  -16 )

oh.. look at how nice that turns out.. :)

[tex]\sqrt{25}[/tex] = t  ( take the square root on both sides )

5 = t    

the jumper fell for 5 seconds to get to 1100 feet  


Related Questions

What is the constant of proportionality for the relationship between 12 laps 1/2 hr

Answers

Answer:

24

Step-by-step explanation:

12 per half hour means 24 per hour

solve for x , y , right answers plss !!!!

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Answer:

3 5 6 2 8

Step-by-step explanation:

Somebody help me please

Answers

yes it's correct............

What’s the rise over run pleas???

Answers

9514 1404 393

Answer:

  -1/5

Step-by-step explanation:

To find the ratio of rise to run on a graph, it is convenient to start by looking for points where the graph crosses the intersection of grid lines. This lets you read the exact coordinates of the points, without any guessing.

In the attachment, the grid crossings we chose are circled.

The "rise" is the vertical distance between the points. If the right point is lower, the "rise" is negative.

The "run" is the horizontal distance between the points.

The reason for choosing grid crossings is that it then becomes fairly easy to count the grid lines between the points, vertically and horizontally.

On this graph, the "rise" is -1 for a "run" of 5. Then the slope, or ratio of rise to run, is ...

  m = rise/run = -1/5 . . . . . . slope of the line

What are the next few terms after the following sequence? 1, 1/2, 1/3, 1/4

Answers

Answer:

1/5, 1/6, 1/7, 1/8,1/9, 1/10,1/11,1/12

you want to download some new songs on your mp3 player.Each song will use about 4.3MB of space.There is 7.8GB of free storage space on your mp3 player.At most how many songs can you download?

Answers

Answer:

1857

Step-by-step explanation:

7.8= 7987.2mb

4.3=0gb

Will give BRAINLIEST!!!! No spam pls :)

(Pic is provided)

1. Why is segment B'C' on the same line as its corresponding side, segment BC?

2. Explain how you know that segment A'C' is parallel to its corresponding side, segment AC.



3. What relationship does angle ACB have with its corresponding angle A'C'B'? Explain or show your reasoning.

Answers

1. They are congruent which is why it’s on the same line
2. It is parallel as they both are like train tracks, parallel to one another.
3. They’re congruent triangles.
4. They are congruent triangles so the angles are the same.
Can I still get brainliest answer?

Write the equation of a line, in slope-intercept form, that has a slope of m=9 and passes through the point (4, 31)

Answers

Answer:

9x-y = 5

Step-by-step explanation:

Equation of line in slope intercept form:

y-y1 = m*(x-x1), m=9, (x1,y1)=(4,31)

y-31 = 9*(x-4)

y-31 = 9x-36

9x-y = 36-31

9x-y = 5

Help with this pretty please Will mark brainlest​

Answers

C. -3,-3 is the correct answer

O A. All real numbers
O B. y> 0
O c. y> 4
O D. y>4

Answers

Answer:

A

Step-by-step explanation:

cause an exponent and be any number

!!! WILL GIVE BRAINIEST
Barry put all of the tiles shown below into a bag, then randomly pulled out one round one and one square one. What is the probability that Barry drew two red tiles?

I know the answer is 1/80 but how do you get there?

Answers

there are 60 squares in total.
there are 9 red squares in total.
etc

if you divide the number of events by the number of possibilities, you get probability!

Answer:

its B

Step-by-step explanation:

trust me i just got it

A teacher gave a test with 50 questions, each worth the same number of points. Donovan got 39 out of 50 questions right. Marci's score was 10 percentage points higher than Donovan's. How many more questions did Marci answer correctly?

Answers

Answer:

49 all you have to do is add 10 to 39

You need 3 sticks of butter for every 24 cookies you bake.how much will you get for 5 stick of butter

Answers

Answer:192 cookies

Step-by-step explanation:

8•24=192

Anybody good in math ?

Answers

Answer:

[tex]y=-0.3(x-2)^2+2[/tex]

Step-by-step explanation:

We know that the parabola faces downard, and hence must have a negative first term, so that eliminates the first and third options.

The vertex of the parabola has an x-value of 2, so it must be of the form [tex]a(x-3)^2+c[/tex].

Combining these, we have that the answer is [tex]\boxed{y=-0.3(x-2)^2+2}[/tex]

please someone help. Giving brainliest!!!!!! :)

Answers

Answer:

PLEASE BRAINLIEST

Step-by-step explanation:

400-2a =332

400-332 =2a

2a=68

a=34

What are the combining like terms ?

Answers

Answer:

2r+1

Step-by-step explanation:

-5r-8+9+7r= (-5r+7r)+(-8+9)

Solve:

2r+1

Hope this helps!

Answer:

[tex]2r+1[/tex]

Step-by-step explanation:

[tex]-5r-8+9+7r[/tex]

Combine like terms:

[tex]-5r+7r-8+9[/tex][tex]-8+9=1[/tex][tex]-5r+7r=2r[/tex][tex]2r+1[/tex]

________________________

ANSWER FOR BRAINLIEST
Given A(-6, -2) & B(-5,1)
Find AB
Find the midpoint of AB

Answers

Answer:

Question 5 options: (4, 4) (1, 1) (3, 1) (10, 4)

Step-by-step explanation:

Answer:

hope it helps.....................

How to determine values of a,b and c

Answers

(i) The graph of f is symmetric about the y-axis - this is another way of saying f is an even function, which means

[tex]f(x) = f(-x) \iff \dfrac{ax+b}{x^2-c} = \dfrac{-ax+b}{x^2-c}[/tex]

The denominator remains unchanged, so

ax + b = -ax + b

Solve for a :

ax = -ax

2ax = 0

a = 0

(The alternative is that x = 0, but if that were the case then there would be infinitely many choices for a.)

So

[tex]f(x) = \dfrac{b}{x^2-c}[/tex]

(ii) Since

[tex]\displaystyle \lim_{x\to2^+}f(x) = +\infty[/tex]

it follows that x - 2 must be a factor of the denominator. If that's true, then

x ² - c = (x - 2) (x - r )

for some other root r of x ² - c. Expanding the right side gives

x ² - c = x ² - (2 + r )x + 2r

so that

-(2 + r ) = 0   ===>   r = -2

2r = -c   ===>   -c = -4   ===>   c = 4

and so

[tex]f(x) = \dfrac{b}{x^2-4}[/tex]

(iii) Finally, we're given that f ' (1) = -2. Differentiating f gives

[tex]f'(x) = -\dfrac{2bx}{(x^2-4)^2}[/tex]

so that

[tex]f'(1) = -\dfrac{2b}{(1^2-4)^2} = -\dfrac{2b}{9}[/tex]

Then

-2b/9 = -2   ===>   b = 9

and we find that

[tex]f(x) = \dfrac{9}{x^2-4}[/tex]

14−{6+2[−1(8−12)]2} What is the value of the expression? Enter your answer in the box.

Answers

Answer:

-24

Step-by-step explanation:

I took the test

Answer:

-24

Step-by-step explanation:

this is correct, i took the test in k12

help
Sam’s mom bought some apples:

4 bags of 10 apples,

5 bags of 20 apples,

12 bags of 30 apples,

How many apples did Sam’s mom buy?

Answers

Answer:

500

Step-by-step explanation:

4 times 10 equal 40

5 times 20 equals 100

12 times 30 equals 360

360

+ 100

40

________

500

Twenty decreased by 2 times a
number is the same as 10 less
than 3 times the number.

Answers

Answer:

6

Step-by-step explanation:

solve (x - 4)^2 = 5


A. x = -4 ± √5

B. x = 9 and x = - 1

C. x = 5 ± √4

D. x = 4 ± √5

Answers

The answer should be C.


Hope this helps

f(x)=2x^2-3x+7 evaluate f(-2)

Answers

Answer:

Step-by-step explanation:

Find two linear functions p(x) and q(x) such that (p (f(q(x)))) (x) = x^2 for any x is a member of R?

Let  p(x)=kpx+dp  and  q(x)=kqx+dq  than

f(q(x))=−2(kqx+dq)2+3(kqx+dq)−7=−2(kqx)2−4kqx−2d2q+3kqx+3dq−7=−2(kqx)2−kqx−2d2q+3dq−7  

p(f(q(x))=−2kp(kqx)2−kpkqx−2kpd2p+3kpdq−7  

(p(f(q(x)))(x)=−2kpk2qx3−kpkqx2−x(2kpd2p−3kpdq+7)  

So you want:

−2kpk2q=0  

and

kpkq=−1  

and

2kpd2p−3kpdq+7=0  

Now I amfraid this doesn’t work as  −2kpk2q=0  that either  kp  or  kq  is zero but than their product can’t be anything but  0  not  −1 .

Answer: there are no such linear functions.

Could someone please help answer this, thank you, will give brainliest, plz no spam (home work help) thanks!

Answers

Answer:

this is my answer

a< -12

hope it helps

Katie bought 4 sweaters that each cost the same amount and 1 skirt that cost $20. The items she bought cost a total of $160 before tax was added. What was the cost of each sweat?

Answers

Answer:

$35

Step-by-step explanation:

first we need to find the amount of money the sweaters cost alone.

so we first subtract the total (160) - the skirt price (20) which is 140

now we divide it by 4 to find the price of each seater, as they all cost the same.

so 140 divided by 4 = 35

answer: $35

jamie is filling up her swimming pool. She already had 10 gallons in it. She opened the hose to fill it up the rest of the pool at 20 gallons per hour
A.) Write a function for given scenario.
B.)Would the graph be continuous or discrete?

Answers

A.) 20x+10
B.) continuous

Two numbers multiply to be -40 and add to be 3. What are the numbers?

Answers

Answer:

The numbers are (x,y)=(-5,8) or (8,-5)

Step-by-step explanation:

Let two numbers be x and y,

We have,

x+y=3

x=3-y---(i)

Now,

xy=-40

(3-y)y=-40 [From (i)]

3y-y^2=-40

y^2-3y-40=0

Factoring,

(y + 5) (y - 8)=0

Either,

y+5=0        or,      y-8=0

y=-5                      y=8

When y=-5,

x=3-y

3--5

3+5

8

When y=8,

x=3-y

3-8

-5

11. There are a total of 30 puzzle pieces. Three
out of 5 are red, the remaining are black. How
many puzzle pieces are black?

Answers

Answer: 2

Step-by-step explanation:

5-3=2

30-5=15

If three out of the five are red and there are a total of 30 puzzle pieces then the number of black puzzle pieces will be 12.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

We'll apply division by Splitting into equal halves or groups, the division may be used to decide how to distribute a dish of cookies evenly among a group.

it is given that there are a total of 30 puzzle pieces three out of 5 are red, and the remaining are black.

From the given condition,

(3/5) of total puzzle pieces = Number of red puzzle pieces

(3/5) × 30 = Number of red puzzle pieces

Number of red puzzle pieces = 18

Total puzzle pieces = Red puzzle pieces + Black puzzle pieces

30 = 18 + Black puzzle pieces

Black puzzle pieces = 30-18

Black puzzle pieces =12

Thus, if three out of the five are red and there are a total of 30 puzzle pieces then the number of black puzzle pieces will be 12.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ5

PLEASE HELP MEE
Hamish buys a new car for 520000
The car depreciates in value by 19% each year.
Work out the value of the car at the end of 3 years.
Give your answer to the nearest $.

Answers

Answer:

$223,600

Step-by-step explanation:

1. Multiply 520000 by 0.19 and get an answer of 98800. This is how much by which the car depreciates every year.

2. Now multiply 98800 by 3 (years). Now your answer would be 296400.

3. Now minus the depreciated value from the original value which is 520000-296400=223600.

Not sure about the answer but I hope this helped a bit

Answer:

$3,567.00

Step-by-step explanation:

Here is how I got it!

First, you will have to borrow the 520,000 from the word problem.

Next, multiply 520,000 with 0.19 with the power of 3

[tex]520,000*0.19^3=n[/tex]

The 3 is the number of years, n is the nearest $ answer.

--

First, do [tex]0.19^3[/tex]

[tex]0.19*0.19*0.19=0.006859[/tex]

(Again, that's a crazy number!)

--

With 0.006859, multiply it with 520,000

[tex]520,000*0.006859=3566.68[/tex]

3566.68 is technically (in money) $3,566.68 (with .68 being sixty-eight cents).

--

Finally, it states to answer to the nearest $.

Just round up the .68 to 1 dollar which will just add one more dollar to 3,566

[tex]3,566.32[/tex] ⇒ [tex]3,567.00[/tex] (since .32 is below .50, you can't round it UP)

Add you $ symbol

With the result being: $3,567.00

let f(x)=-2x-7 and g(x)=-4x+3 find (f°g)(-5)

Answers

Answer:

-53

Step-by-step explanation:

f°g = f(g(x))     Remember this because this notation is less confusing for you.

Step 1. Plug g(x) in all values of x in the function f(x).

f(g(x)) = -2(-4x+3) -7

Step 2. Distribute the -2

-2(-4x+3) = 8x -6

f(g(x)) = 8x-6-7

Step 3. Simplify by subtracting -6 - 7

f(g(x)) = 8x-13

Step 4. Plug in -5 for x

8(-5) - 13 = -40 - 13 = -53

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