An object is dropped from a height of 288 feet. The equation, - 16t ^ 2 + 288t = h(t) represents the height, hof the object after tseconds. How long does it take the object to the ground?

0 seconds
16 seconds
18 seconds
88 seconds

Answers

Answer 1

18 seconds

Step-by-step explanation:

The object will reach the ground when its height h(t) = 0. Therefore, we can write

[tex]h(t) = 288t - 16t^2 = 0 \Rightarrow 16t^2 = 288t[/tex]

Solving for t, we get

[tex]16t = 288 \Rightarrow t = 18\:\text{s}[/tex]


Related Questions

a bird is flying 1200 feet above the see level. at a particular point it is directly above a fish floating at 400 feet below the see level .by how much the bird must descend its flight to be as far as from the see level,as the fish is​

Answers

200 feet ur welcome :)

Answer:

Ok the answer is 200 feet

Please help me answer it please no links or you will be reported

Answers

Answer:

what answer

Step-by-step explanation:

?????????????

Someone pleases answer!

Answers

Answer:

Both are 65 degrees

Step-by-step explanation:

because you have parrallel lines, 2 would be the same as 65

Because 1 is on the opposite of 2, it would be the same

Evan swims 321 laps in a month. He swims for 22 days in the month, How
many laps does he swim each day? Write your answer as a mixed number,
14 laps
14 13/22 laps
15 5/22 laps
14 7/22 laps

Answers

Answer:

Step-by-step explanation:

321

Marking as brainliest! Great the similarity statement!

Answers

Answer

1. ΔABC ≅ ΔEFG

2. ΔMKL ≅ ΔVKU

3. ΔMLN ≅ ΔNCD (With this one I couldn't fully read the letter in the middle. I couldn't tell if it was an N or a B so just swap it for the right letter. <3)

4. ΔFGH ≅ ΔRHQ

5. ΔUVL ≅ ΔMNL

6. ΔQRS ≅ ΔVUT

Step-by-step explanation:

hope this helps. . .<3

good luck! UwU

Identify the initial amount a and the rate of growth r (as a percent) of the exponential function f(t) = 1500(1.074)t. Evaluate the
function when t=5. Round your answer to the nearest tenth.
A=
R=%
When t=5, f(5)=

Answers

The initial amount is the first number = 1500

Rate of growth is inside the parentheses and is added to 1, the rate of growth is 7.4%

Replace t with 5 and solve

1500(1.074) ^5 = $2143.45

Answer:

The growth rate is 7.4% and the initial amount is 1500. The answer when t=5 is 2143.45.

Step-by-step explanation:

Assuming this is actually supposed to be written as 1500*(1.074)^t, then this equation follows the standard growth form y = A(1+r)^t where A represents the initial amount, r represents the rate as a decimal, and t represents time. This means that 1500 (A) would be the initial amount, and if you subtract 1 from what's inside the paratheses, you will get the r rate as a decimal. To get this as a percent, simply multiply it by 100, so you will get 7.4% as your growth rate.

To find what the answer would be when t = 5, just plug in 5 for the value of t in the equation.

f(5) = 1500*(1.074^5)

f(5) = 1500*(1.42896)

f(5) = 2143.45

There are 26 3rd graders in 32 4th graders going on a field trip each van can carry 10 students how many students will be in each van

Answers

Answer:

There will be 10 students in each van, and only 8 in one van

Step-by-step explanation:

26 + 32 = 58

A pattern has 6 blue triangles to every 42 yellow triangles. What is the ratio in lowest form of yellow triangles to blue triangles?

Answers

7 to 1 is the answer

Answer:

7:1

Step-by-step explanation:

The original ratio was 6:42. To simplify this, we can find the greatest common factor for 6 and 42 by listing out their factors.

6: 1, 2, 3, 6

42: 1, 2, 3, 6, 7, 14, 21, 42

6 is the greatest common factor they share. We now need to divide each side by this number. This leaves us with 1:7. Since they want us to write the ratio in yellow triangles to blue triangles instead of blue triangles to yellow, we just need to flip the ratio to 7:1.

Which of the accounts below are considered accrued expenses?

Answers

Answer:

Accrued expenses are those liabilities that have built up over time and are due to be paid. Accrued expenses are considered to be current liabilities because the payment is usually due within one year of the date of the transaction. Accounts payable are current liabilities that will be paid in the near future.

Answer:

Wages expense, Interest expense

Step-by-step explanation:

The area under the graph line
made with the x-axis represents
the change in position of the
object on a velocity versus time
graph. (5 points)

Answers

The statement is true: the area under the graph line made with the x-axis

represents the change in position of the object on a velocity versus time

graph.

Reasons:

[tex]\displaystyle Velocity = \frac{Dislacement}{Time}[/tex]

The area under the velocity time graph is given by the integration of the function for the velocity over the time interval.

A constant velocity is an horizontal line and the integration of a constant with time, gives the product of time and the constant, which is area under the rectangular graph.

Therefore, the area under the graph line made with the x-axis represents the change in position of the object on a velocity versus time graph.

Learn more here:

https://brainly.com/question/18910091

Answer: True

Step-by-step explanation:

which inequality is true when the value of H is -14 I'ma post a picture​

Answers

Answer:

h + 10 > - 9.5 is the correct answer

If f(3) = 24, what is f-1 (24)?

Answers

Answer:

f=25

Step-by-step explanation:

24+1=25

25-1=24

how many times does 32 go into 7500​

Answers

Answer:

yy

Step-by-step explanation:

Answer:

234.375

Step-by-step explanation:

divide 7500 by 32, and you'll get the number of times 32 goes into 7500.

7500 ÷ 32 = 234.375

and if the question is asking for whole numbers it would be just 234 times (and a 3/8)

A runner is 7/8 mile from the finish line. If she can travel 3/8 mile per minute, how long will it take her to finish the race?​

Answers

Answer:

2 1/3 minutes

Step-by-step explanation:

Distance:

d = 7/8 mile

Speed:

s = 3/8 mpm

Time:

t = d/st = 7/8 : 3/8 = 7/8 * 8/3 = 7/3 = 2 1/3 min

Answer:

Step-by-step explanation:

What is the discriminant of the polynomial below?
4x2 - 20x+ 25
O A. -360
O B. o
O C. 300
O D. -20

Answers

Answer:

B. 0

Step-by-step explanation:

ax² + bx + 1 = 0

discriminant = b² - 4ac

4x² - 20x + 25

a = 4

b = -20

c = 25

b² - 4ac = (-20)² - 4(4)(25) = 400 - 400 = 0

Answer: B. 0

Javier is working in a lab testing bacteria populations. After starting out with a population of 378 bacteria, he observes the change in population and notices that the population doubles every 36 minutes. Find the equation for the population P in terms of time t in minutes. Round values to three decimal places.

Answers

This can be represented by the exponential function:

[tex]P=378(2)^\frac{t}{36}[/tex]

An exponential function is in the form:

y = abˣ

where y, x are variables, a is the initial value of y and b is the factor.

Let P represent the population of the bacteria after t minutes.

Since the bacteria starts with a population of 378, hence a = 378. The bacteria doubles every 36 minutes, This can be represented by:

[tex]P=378(2)^\frac{t}{36}[/tex]

Find out more at: https://brainly.com/question/12490064

2.
Which of the following describes the parabola with the equation y = x2 + 2x + 1?

A. The axis of symmetry is x = −1 and the vertex is (−1, 0).

B. The axis of symmetry is x = 0 and the vertex is (0, 1).

C. The axis of symmetry is x = 1 and the vertex is (1, 4).

D. The axis of symmetry is x = 1 and the vertex is (1, 2).

Answers

Answer:

The answer is A. The axis of symmetry is x= -1 and the vertex is (-1,0)

Step-by-step explanation:

Answer: x=1

A. The axis of symmetry is x = −1 and the vertex is (−1, 0).

Step-by-step explanation:  graph{x^2+2x+1 [-10, 10, -5, 5]}

Explanation:

This is a quadratic equation so it makes a Parabola on a graph.

Information:

x-intercept: (1,0)

y-intercept: (0,1)

vertex: (1,0)

line of symmetry: x=1

...............................................................................................................................................

The answer is option a via completing the square

y= x^2+2x+1

y= (x+1)^2+1

so it will have an aos of -1 and a vertex of (-1,0)

...............................................................................................................................................

it will have an aos of -1 and a vertex of (-1,0)

Step-by-step explanation:

made a 100%

If √(0.09×0.09×x) = 0.09 × 0.09×√z, then the value of x/y is____.​

Answers

Given that-

√(0.09×0.09×x) = 0.09×0.09×√z

On squaring both sides then

⇛[√(0.09×0.09×x) ]² = (0.09×0.09×√z)²

⇛ 0.09×0.09×x= (0.09)²×(0.09)²×(√z)²

⇛ (0.09)² × x = (0.09)²×(0.09)²×z

⇛ (0.09)² × x/z = (0.09)²×(0.09)²

⇛x/z = (0.09)²×(0.09)²/(0.09)²

⇛x/z = (0.09)²

⇛x/z = 0.09×0.09

⇛x/z = 0.0081

Answer:- Hence the value of x/z will be 0.0081 r respectively.

If 1 + 2 = 1, 2 + 3 = 2, 3 + 4 = 3, 4 + 5 = 4, … 50 + 51 = 50 and 51 +
1 = 51, then what is the sum of 1, 2, 3, … , 51?

Answers

Answer: 1326

Step-by-step explanation: There is no factorial for addition however the formula n (n+1)/2 works for this where n is the last number of your addition (in this case 51).

Would appreciate brainly <3

Help help help help please please

Answers

you would move each coordinate 6 left and 1 up

A(2,5)
B(0,2)
C(-1,3)

hope this helps!

how many 3/4 are in 11/4

Answers

Answer:

11

1

11 over 1

Step-by-step explanation:

Someone help me on PART B:

Answers

Step-by-step explanation:

given expression,

4(3x - 1) - 2(6 + 2x)

given,

x = 12.5

so q/q

→ 4[3(12.5) - 1] - 2[6 + 2(12.5)]

→ 4(37.5 - 1) - 2(6 + 25)

→ 4 × 36.5 - 2 × 31

→ 146 - 62

→ 84

therefore, 84 articles store received last Thursday.

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE.

Answer:

84

Step-by-step explanation:

GIVING OUT BRAINLIEST

Answers

Answer:

y = 700x - 8

Step-by-step explanation:

You have 10 pounds of aquafaba. You need 6 oz to make one serving of consomme. How many servings can you make? Whole servings only - round down rather than using partial servings.

Answers

Using the principle of proportional relationship, the number of whole serving that can be made is 26.

Recall :

1 pound = 16 oz

Total amount of aquafaba in ounces :

16 × 10 = 160 oz

Amount of aquafaba required per serving of consomme :

1 serving = 6 oz

x servings = 160 oz

Cross multiply

6x = 160

Divide both sides by 6

x = 160/6

x = 26.667

Hence, the amount of whole serving that can be made is 26.

Learn more : https://brainly.com/question/25678498

Hi everyone, I'm having trouble with this question and I'm not sure how to do it/where to start. Does anyone have a solution to it? It will help me with my future problems on this topic!

Answers

This is quite an interesting problem. I am not sure how high you are in math, but I am going to use calculus I techniques to solve it. First, we need to model an equation. Let P be the total profit and x be every time you increase the cost by $10. If you think about it hard enough you come up with the equation

[tex]P(x)=(200-5x)(250+10x)[/tex]

(200-5x) is the amount of plots you will be able to sell, and (250+10x) is the amount you charge for. So, at x =0

[tex]P(0)=(200-5(0))(250+10(0))=(200)(250)=$50,000[/tex]

This is the initial condition where if we sell 200 plots at $250/plot.

So, this equation makes sense.

Now, let's maximize using the first derivative of the function.

Let's get it into an easily differentiable form.

[tex]P(x)=(200-5x)(250+10x)=-50x^2+2000x-1250x+50000\\=-50x^2+750x+50000[/tex]

From here, differentiate the problem.

[tex]P'(x)=-100x+750[/tex]

Now, set it equal to zero and solve for x.

[tex]P'(x)=-100x+750=0\\x=7.5[/tex]

This a critical point of the function. Let's plug back into the original equation to see what it gives us.

[tex]P(7.5)=(200-5(7.5))(250+10(7.5))=(162.5)(325)=52,812.50[/tex]

You cant sell half a plot, so we need to see what happens if we sell 162 plots and 163 plots, and then compare which one gives us more money.

In order to sell 162 plots

[tex]200-5x=162\\x=7.6[/tex]Plug back into P(x) to see the profit

[tex]P(7.6)=(200-5(7.6))(250+10(7.6))=(162)(326)=52,812[/tex]

Now, do the same for 163 plots

[tex]200-5x=163\\x=7.4\\P(7.4)=(200-5(7.4))(250+10(7.4))=(163)(324)=52,812[/tex]

As we can see, they are the same. So, you can charge either $324 or $326 in rent. But, if your teacher is not looking for a logical answer and you can somehow sell half a plot, you can charge $325 in rent for the maximum profit.

An animal park has lions,tiger an zebras.2/5 of the animals are lions and 3/10 of the animals are zebras. what percentage are tigers?​

Answers

Answer:

3/10

Step-by-step explanation:

You have to make them the same fraction.

2/5 = 4/10

3/10 =3/10

3/10 + 4/10 = 7/10

10/10 - 10/10 =3/10

3/10 is the amount of tigers.

Due to normality, the formula for computing z is the same for a single data value, as it is
for an average of the data values for a sample group.

True or false ?

Answers

Using the Central Limit Theorem, the statement is false, as for the averages of  the data values for a sample group, the standard error is [tex]s = \frac{\sigma}{\sqrt{n}}[/tex], hence, the formula is:

[tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

While for a single value, it is:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

In a normal distribution with mean and standard deviation , the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

It measures how many standard deviations the measure is from the mean.  After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of X. By the Central Limit Theorem, the sampling distribution of sample means of size n has standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

Hence, the formulas are different, and for an average of the data values for a sample group it is:

[tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

A similar problem is given at https://brainly.com/question/24663213

I need answers ASAP

Answers

Answer:

Simplifying

6r + r + -5r = 0

Combine like terms: 6r + r = 7r

7r + -5r = 0

Combine like terms: 7r + -5r = 2r

2r = 0

Solving

2r = 0

Solving for variable 'r'.

Move all terms containing r to the left, all other terms to the right.

Divide each side by '2'.

r = 0

Simplifying

r = 0

7r-5r < this is the answer

6r+r=7r

consider the system of equations. which shows an equivalent system of equations?
see attatched

Answers

Answer:

A.

Step-by-step explanation:

All choices show the first original equation.

Each choice shows a different second equation.

Take the second original equation:

6x + 5y = 30

Multiply both sides by -5.

-30x - 25y = -150

Answer: A.

Solve the equation 3x - 2(x + 1) = 2x - 7

Answers

Answer:

X=5

Step-by-step explanation:

Collect like terms then move the terms. Then collect liked terms. Calculate and Chang signs

Answer:

X = 5

Remember, x has a hidden one behind it, so it would be 1x

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

Use the distributive property to multiply −2 by x+1.

3x−2x−2=2x−7

Combine 3x and −2x to get x

x−2=2x−7

Subtract 2x from both sides

x−2−2x=−7

Combine x and −2x to get −x

−x−2=−7

Add 2 to both sides

−x=−7+2

Add −7 and 2 to get −5

−x=−5

multiply both sides by -1

x=5

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