Debbie launched a toy rocket off a hill next to Lake Lakewood. The height h of the rocket in feet above the surface of the lake can be modeled by h = 340 + 100 t − 16 t 2 h=340+100t−16t 2 , where t is the time in seconds after the launch

Answers

Answer 1

Answer:

t = 8.69 s

Step-by-step explanation:

The height h of the rocket in feet above the surface of the lake can be modeled by :

[tex]h=340+100t-16t^2[/tex]

Let we need to find the time to reach the ground. When it reach the ground, h = 0

[tex]340+100t-16t^2=0[/tex]

We need to find the value of t.

t = 8.69 s and -2.45 s

Neglecting negative value,

t = 8.69 s

Hence, it will take 8.69 s to reach the ground.


Related Questions

A line passes through the point (4,5) and has a slope of -5/4
Write an equation in slope-intercept form for this line

Answers

equation: y = -5/4x + 10
i took this test and studied this unit!!

f(x) = -222 +7
Find f(-5)

Answers

Lets solve for d.

f(x) = - 222 + 7, Find f(-5)

Step 1.

-35df2 in -222 = fx

Step 2.

-35df2 in divided by -35df2 in = fx+222 divided by -35&2 in.

d = -fx-222 divided by 35f2 in

Answer:

d= - fx-222

       ———-

       35f2 in

There are 150 shops in a mall, 30% of them sell clothes. How many shops do NOT sell clothes

Answers

Answer:

105 Shops did not sell clothes.

Step-by-step explanation:

45
150-30%=45
I hope this helps

What value of k will make the expressions equivalent?
A. -42
B. -34
C. 16
D. 114

Answers

Answer a

Step-by-step explanation:

what is the reciprocal of 1/2​

Answers

2/1 a reciprocal is just the fraction flipped

The distance between two points is 6√5. One endpoint is (4,−3). It is known that the y-coordinate of the other endpoint is 7.

What is the x-coordinate of this endpoint?

Answers

(2,-4)snhfbdjsnsndusma

The product of the roots of 2x^2 - 7x + N = 0 is -5. Find N.

Answers

Let a and b be the roots of 2x² - 7x + N. Then

2x² - 7x + N = 2 (x - a) (x - b)

2x² - 7x + N = 2x² - 2 (a + b) x + 2ab

so that

2 (a + b) = 7

2ab = N

The product of the roots is ab = -5, so

N = 2 • (-5) = -10


Y-3 = -(x-2)
in slope intercept form. PLEASE SHOW THE WORK.

Answers

Answer:

Y = -x + 5

Step-by-step explanation:

Y - 3 = -(x-2)  -distribute

y - 3 = -x + 2  -add 3

y = -x + 5

Hope this helps. Pls give brainliest.

The radius of the Ferris wheel is shown. Which is the circumference of the Ferris
wheel, rounded to the nearest foot?

Answers

The answer is c=250 feet because the circumference is twice the radio us I’m pretty sure.

Answer:

C=250

Step-by-step explanation:

the number of the axes of symmetry in an equilateral triangle​

Answers

That’s what I found
Hope this helps at least a little bit :)

What are the factors of -24 that have a sum of 5?

Answers

Answer:

Step-by-step explanation:

5 Easy as 1-2-3

5 is a prime number.

Prime factorization: 5 is prime.

The exponent of prime number 5 is 1. Adding 1 to that exponent we get (1 + 1) = 2. Therefore 5 has exactly 2 factors.

Factors of 5: 1, 5.

Factor pairs: 5 = 1 x 5.

5 has no square factors that allow its square root to be simplified. √5 ≈ 2.236.

Triangle ABC is an obtuse triangle with the obtuse angle at vertex B. Angle A must be

less than 90°.
greater than 90°.
congruent to angle B.
congruent to angle C

Answers

Answer:

"less than 90°."

Step-by-step explanation:

This is because an obtuse triangle can be defined as "An obtuse triangle (or obtuse-angled triangle) is a triangle with one obtuse angle (greater than 90°) and two acute angles." Therefore, there can only be ONE obtuse angle. Therefore, with the obtuse angle being at vertex B, there cannot be another one at vertex A.

How many squares are in view on the front, side, and top?
There are

squares in view on the front. There are

squares in view on the side. There are

squares in view on the top.fill in the blanks.plz dont waste my points

Answers

Answer:

1. =18

2. =3

3.  =10

4. =6

Step-by-step explanation:

Pretty sure I'm right

You are standing on top of a 50 foot cliff over looking a pond. The angle of depression from you to the pond is 47 degrees. How far is the horizontal distance from the pond. Round your answer to the nearest tenth

Answers

Answer: 97

Step-by-step explanation: hope this is right.

Select the correct answer from each drop-down menu.
4
3
2
1
-65
3
1
2
3
4 5 6
-
-2
3
4
5
5
The point that is the reflection of Dacross the x-axis and the yaxis is point v. and the coordinates of this point are
reflection of point Lacross x-axis is point v. and the coordinates of this point are
. The
Deset
mentum. All rights reserved

Answers

Answer:

uh, this is very confusing....is there anyway that you could word it differently?

1. If RU = 16, UT = 20, and SR = 16, what is the perimeter of SUT?
Figure:
Please answer ASAP!

Answers

Answer:

72

Step-by-step explanation:

If SR and RU have the same length, a right angle, and a shared side, we know that they are congruent triangles using SAS (Side Angle Side). Our equation to find the perimeter would be SR + RU + UT + TS or 16 + 16 + 20 + 20(using our knowledge of the congruent triangles) = 72.

The Perimeter of SUT is 72 units.

What is Pythagoras theorem?

According to the Pythagoras theorem, the square of the hypotenuse of a triangle, which has a straight angle of 90 degrees, equals the sum of the squares of the other two sides.

Given:

RU = 16, UT = 20, and SR = 16

Now, Using Pythagoras theorem

UT² = RT² + RU²

20²= RT² + 16²

RT² = 400- 256

RT² = 144

RT= 12

And, ST=20

Now, Perimeter of SUT

= 16 + 16 + 20 +20

= 72

Learn more about Pythagoras theorem here:

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Another car dealership sells a truck for the wholesale price of $12,000. During a special sales event, the dealership offers a 10% discount off of the price. After the discount, how much will a customer pay for this vehicle? Show your work.

Answers

Answer:

$10,800

Step-by-step explanation:

Given that:

Wholesale price of the truck = $12,000

At the special sales event, the discount offered on the price = 10% of the wholesale price

Therefore the discount can be calculated as follows:

10% of Wholesale price

Wholesale price is given as $12,000.

[tex]\Rightarrow \dfrac{10}{100} \times 12000\\\Rightarrow \bold{\$1200}[/tex]

Now, we have to find the price to be paid by customer after the discount being offered due to the special sales event.

Discounted price = Wholesale price - Discounted offered due to special sales event.

Discounted price = $12000 - $1200 = $10,800

Therefore, the answer is:

$10,800

Grant has $58 in a savings account. He plans on depositing $30 into the
account each month and not taking any money out of the account. Which
function rule will give the total amount T that he has in the account
after n months?

Answers

Answer

I believe it is the first answer

Step-by-step explanation:

You would have to multiply 30 by however many months he deposits money to find how much he has in he account at that time

Hope this helps

The function rule of the total amount T in the account after n months is

T = 30n + 58.

Option A is the correct answer.

What is an expression?

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

Amount in the account = $58

Amount deposited each month = $30

The total amount after n months.

T = 58 + 30n

Thus,

The T = 30n + 58 is the total amount in the account after n months.

Learn more about expressions here:

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The fraction bars represent which equation?

Answers

3/4 divided by 1/8
Which makes the answer 6☺️

Answer:6

Step-by-step explanation:

Ree

CHECK ALL ANSWERS THAT APPLY*
A toy rocket is launched vertically upward from a 8 foot platform with an
initial velocity of 120 feet per second. Its height h at time t seconds after
launch is given by the equation h(t) = -16t^2 + 120t + 8. How many seconds
until the rocket is 40 feet? (There may be more than one answer)
A) 0.28
B) 0.94
C) 3.17
D) 4.62
E) 5.98
F) 6.44
G) 7.22
H) 8.17

Answers

Answer:

We get t= 7.22 and t=0.28

The correct options are Option A and Option G

Step-by-step explanation:

The height h of toy rocket at time t seconds after  launch is given by the equation [tex]h(t) = -16t^2 + 120t + 8[/tex]

We need to find how many seconds  until the rocket is 40 feet?

We are given height of rocket h(t) = 40 feet

and we need to find time t

Using the equation [tex]h(t) = -16t^2 + 120t + 8[/tex] we can find time t

We have h(t)=40

[tex]h(t) = -16t^2 + 120t + 8\\Put\:h(t)=40\\40= -16t^2 + 120t + 8\\16t^2-120t-8+40=0\\16t^2-120t+32=0[/tex]

Now, we will solve the quadratic equation using quadratic formula: [tex]t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

We have a =16, b=-120 and c=32

Putting values and finding t

[tex]t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\t=\frac{-(-120)\pm\sqrt{(-120)^2-4(16)(32)}}{2(16)}\\t=\frac{120\pm\sqrt{14400-2048}}{32}\\t=\frac{120\pm\sqrt{12352}}{32}\\t=\frac{120\pm111.12}{32}\\t=\frac{120+111.12}{32}, t=\frac{120-111.12}{32}\\t=7.22\:,\:t=0.28[/tex]

So, we get t= 7.22 and t=0.28

The correct options are Option A and Option G

Help me please...thank you

Answers

I think the answer is 5! I hope this helps!!

what do i point on the graph ?

Answers

Answer:

so there is a y and a x axis the x axis is on the bottem and the y axis is on the left

Anyone got an answer

also it doesn't gimme the option of making this 5pts :(

Answers

Answer:

Step-by-step explanation:

Each of the squares has trinomials that factor. x^2 - 14x + 49 = (x - 7)^2

When you take the square root (to get the side length) you get x - 7. So the length of each square is x - 7) = 0;..........x=7 That's the answer to a.

The answer to b is the same. The width =7

It's a square both sides have to be equal.  

The length of the rectangle when the two squares are put together is 7 +7 = 14.

Answer: Question a = 7..... Question b = 7 ......... Question C = 14

Solve problem in photo 8th math

Answers

Answer:

31

Step-by-step explanation:

Answer:

31

Step-by-step explanation:

A newspaper editor tracked the number of new subscribers to the newspaper each week in the table below.

What was the average rate of change in the number of new subscribers between weeks 4 and 6?

Answers

Answer:

The answer is 89

Step-by-step explanation:

You take 557 from the 6 weeks and subtract it with 379 from the 4th week.

557-379=178

178 divided by 2 equal 89.

89 is the answer.

Which r-value suggests a weak positive correlation? A. r = 0.17454 B. r = −0.17454 C. r = 0.98264 D. r = −0.98264

Answers

Answer:

A.) r = 0.17454

Step-by-step explanation:

Got it right on my text

Answer:

A.) r = 0.17454

Write the equation of the line fully simplified slope-intercept form.

Answers

Answer:

Step-by-step explanation:

y = mx + b  <-- slope intercept form

Looking at the line from point (0,-5) to (3,0)

The slope (mx), rise over run

Rises 5 (in the positive direction, up) and runs 3 (in the positive direction, right)

the slope being 5/3

Then the b being your y-intercept

-5 will be your b because the line crosses the y axis at (0,-5) but the y-intercept is -5

Overall: y = [tex]\frac{5}{3}[/tex] x + (-5)

or

y = 5/3 x - 5

I will give out brainliest tell me the reason 2
NO SPAMMING IF U DO ILL REPORT U OFF BRAINLY
Ok

Answers

Answer:

D bc you keep going up by 60m/1hr

Step-by-step explanation:

late answer, for the people who came across it looking for the answer. its d! <3

Rewrite the sum of 75+18 as a product of a number and another sum

Answers

Answer:

(2)(9) + 75 = 75+18

Step-by-step explanation:

(2)(9) + 75 = 75+18

The expression written as a product of a number and another sum is 3(25 + 8)

Given the expression 75 + 18, we are to write as a product of a number and another sum.

First we need to find the GCF of 75 and 18

75 = 3 * 25

18 = 3 * 6

Since 3 is common to both D+GCF, we can factor it out from the expression to have:

75 + 18 = 3(25 + 8)

Hence the expression written as a product of a number and another sum is 3(25 + 8)

Learn more here: https://brainly.com/question/219464

Can You Help Me With This Question

Answers

Answer:

Step-by-step explanation:

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