The height of a firework shot upward from the ground with the initial velocity of 10meters per second is represented by the function h(t) = - 16t2 + 4t How long did it take the firework to reach the ground

Answers

Answer 1

Answer:

0.375 seconds

Step-by-step explanation:

In simple terms, to find the time it took to reach the ground, we need to find t from the equation.

If we differentiate h with respect to t we will get the velocity with which the fireworks is moving at.

[tex]h(t) = - 16t^2 + 4t.\\dh/dt =-32t +4[/tex]

We can now equate this to its velocity and solve for t

10 = -32t +4

t = 0.1875 ( time cannot be negative in value, so we ignore the negative sign)

Therefore, the time it took the fireworks to reach the ground is = 2 x 0.1875= 0.375 seconds.

(We need to account for the fact that the fireworks went up and came down)


Related Questions

i suck at this math stuff please help

Answers

Answer:

Its the second one

Step-by-step explanation:

second option shows exponential growth

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!!



A 10-ft ladder leans against the side of a house. The bottom of the ladder is 7 from the side of the house. How high is the top of the ladder from the ground?
If necessary, round your answer to the nearest tenth

Answers

12.2 i’m pretty sure i hope it helped

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

help please? 1.9x10⁵/2.5x10⁻⁹

Answers

Answer:

6.33...

Step-by-step explanation:

1.9x10^5 = 190 000

2.5x10^-9 = 0.000000003

190 000/0.000000003 = 6.333....

Answer:

7.6 ✕ 10^13

Step-by-step explanation

Enter the solution (x ,y) to the system of equations shown.
y=-6
y=4x+12

Answers

Answer:

x=-4.5

Step-by-step explanation:

y= -6

y= 4x+12

-6 = 4x+12

-6 = 4x+12

-12 -12

_________

-18 = 4x

----- ------

4 4

-4.5 = x

please simplify

5×3−8÷2×3

Answers

Answer:

Use PEMDAS

Step-by-step explanation:

answer is 7/6 i think

i am not 100% sure

The answer would be 3! You can find this using PEMDAs, aka order of operations. Hope this helps!!

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.

Which ordered pairs represent the following transformation?
translation: 3 units right and 4 units up
Z(-4,-3), 1(-2,-2), V(-2,-4)
Z'(1,1), l'(1,5), V'(1,0)
O Z'(-1,1), l'(1,2), V'(1,0)
Z'(-1,-1), I'(4,2), V (1,0)
O Z'(-7,0), l'(6,7), V'(0,0)


I’ll GIVE BRAINLIEST!!!!

Answers

Answer:

yes

Step-by-step explanation:

it is the second one. z(1,1), I(1,5), V(1,0)

Solve plzzz
simplify​

Answers

Answer:

this is the answer do follow me for more answer

Answer:

[tex]\huge\boxed{\sf \frac{-16}{147} }[/tex]

Step-by-step explanation:

Multiplicative Inverse of [tex]\sf 3\frac{1}{2} (\frac{7}{2} )[/tex] = [tex]\sf \frac{2}{7}[/tex]

Multiplicative inverse of any number is the reciprocal of that number.

Additive inverse of [tex]\sf 2\frac{5}{8}(\frac{21}{8} )[/tex] = [tex]\sf -\frac{21}{8}[/tex]

Additive Inverse of any number is the number that has the opposite sign.

Solution:

[tex]\sf \frac{2}{7} / - \frac{21}{8} \\\\\frac{2}{7} * - \frac{8}{21} \\\\= \frac{2*(-8)}{7*21} \\\\= \frac{-16}{147} \\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

A. Figure 1
B. Figure 2
C. Figure 3
D. Figure 4

Answers

Answer:

Maybe figure 2

Step-by-step explanation:

If it is correct then

Plz plz mark me brainlist

Be happy

ndkfkfkfkvmvmkflflkclf

Answers

Answer:

sdhsjahdsjahdkjsa

Step-by-step explanation:

Write the equation of the line passing through the points (28,4) and (-4,-4).

Answers

Can you put a picture of the question plis so I can answered

Answer:

The general equation of a straight line is y = mx + c, where m is the gradient, and y = c is the value where the line cuts the y-axis. This number c is called the intercept on the y-axis. The equation of a straight line with gradient m and intercept c on the y-axis is y = mx + c.

solve it using these steps , you will get the answer

Step-by-step explanation:

Please help I don’t understand

Answers

Answer:

Step-by-step explanation:

when you draw a line through both it show that the are parallel and will never touch.

Answer:

simple

Step-by-step explanation:

i can't give the answer  but a hint is that AC is the same as dot A and Dot C you see on the image and EF is dot E and dot F on the image too.

show how both are paralell(lines never meet).

What steps are needed to plot another point on this graph of equivalent ratios?

Answers

it’s the first one as your answer

What is 10% of 70?

14
0.7
78
7

Answers

Answer:

7 is the answer :> mark brainliest <3

the answer is 7 (mark the other person with the crown or whatever it’s called)


2. A line has a slope of 5

Answers

Answer:

Step-by-step explanation:

Confused ‍♀️??

Answer:

I need more information

Step-by-step explanation:

A line has a slope of 5

whats the question??????????

Help please answer question 1 and 2

Answers

Answer:

here..

Step-by-step explanation:

1. LM, MN. and HF in that order.

1 pt2. L, G, N in that order

2. WX, XY, UV, VS in that order

and 2 pt2. W, X, U, V in that order

Question 8 (5 points)
(02.07 MC)
In the figure shown, what is the measure of angle x? (5 points)

150 degrees
110 degrees
105 degrees
100 degrees

Answers

Given:

Consider the below figure attached with this question.

To find:

The value of x.

Solution:

According to the exterior angle theorem, the exterior angle of a triangle is equal to the sum of two opposite interior angles.

In triangle ABC, using exterior angle theorem, we get

[tex]\angle ACD=\angle ABC+\angle BAC[/tex]

[tex]x=75^\circ +30^\circ [/tex]

[tex]x=105^\circ [/tex]

The value of x is 105 degrees.

Therefore, the correct option is C.

Which facts could be applied to simplify this expression? Check all that apply.

5 x + 3 y + (negative x) + 6 z

Answers

Answer:

The answer is B, C, and D. Like terms are terms with all the same variable, so 5x and -x are like terms.

C is correct. If we add -x to 5x, we get 4x. The other numbers remain unchanged because they have no like terms.

D is correct. Applying the rule of like terms, which is that like terms are numbers with the same variable, only add together numbers with the same variable.

( PLEASE ANSWER FOR 100 POINTS AND, BRAINLIEST ) (If you just put random letters just to get points, I'll delete your comment and report you.) (Please ANSWER!)

1.) Decide whether circumference or area would be needed to calculate it. Explain why!!! You do not need to solve it just state if it is circumference or area and why! The total number of equally-sized tiles on a circular floor.

2.) Decide whether circumference or area would be needed to calculate it. Explain why!!! You do not need to solve it just state if it is circumference or area and why! The amount of oil it takes to cover the bottom of a frying pan.

3.) Decide whether circumference or area would be needed to calculate it. Explain why!!! You do not need to solve it just state if it is circumference or area and why! The distance your car will go with one turn of the wheel.

Answers

Answer:

1. area, 2. area, 3. circumference

I'm not 100% sure but I think that's it

PLEASE look at the photo of my computer to see the problem

Answers

Answer:

the answer is 2+2i√3

Step-by-step explanation:

hope this helps

Answer:

2 + 2i[tex]\sqrt{3}[/tex]

Step-by-step explanation:

note that [tex]\sqrt{-1}[/tex] = i

Given

[tex]\sqrt{4}[/tex] + [tex]\sqrt{-12}[/tex]

= 2 + [tex]\sqrt{4(3)(-1)}[/tex]

= 2 + ([tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex] × [tex]\sqrt{-1}[/tex] )

= 2 + 2i[tex]\sqrt{3}[/tex]

i need some help please

Answers

Answer:

the answer is c 10 chicken and 32 cow

Identify the x-intercept and the y-intercept of the graph of 6x + 15y = −30.
A. x-intercept: 2; y-intercept: 5
B. x-intercept: −2; y-intercept: −5
C. x-intercept: 5; y-intercept: 2
D. x-intercept: −5; y-intercept: −2

Answers

Answer:

D

Step-by-step explanation:

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?

stion
Factor the difference of squares.
x2 - 400
The factored form of x2 - 400 is

Answers

Answer:

The factored form of x²-400 is (x+20)(x-20).

Step-by-step explanation:

Given the expression

[tex]x^2\:-\:400[/tex]

As the square of 20 is 400. Therefore, rewrite 400 as 20²

⇒ [tex]x^2-20^2[/tex]

[tex]\mathrm{Apply\:Difference\:of\:Two\:Squares\:Formula:\:}x^2-y^2=\left(x+y\right)\left(x-y\right)[/tex]

Thus, the expression becomes

[tex]x^2-20^2=\left(x+20\right)\left(x-20\right)[/tex]

Thus, the factored form of x²-400 is (x+20)(x-20).

Bob says that when he multiplies (x+3) (x-3) he gets x^2-6x-9 is he correct explain

Answers

(x+3)(x-3)
x*x=x^2
x*-3=-3x
3*x=3x
3*-3=-9

where’s where he most likely messed up
x^2-3x+3x-9

the correct answer is x^-9

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

Dasher wrapped 16 of the 54 presents for Christmas.
Please represent how many presents his contribution was as a fraction and as a percent.

Answers

9/27 and 30%

Step-by-step explanation:

16/ 54 then reduced to 9/27

to find percent divide 16/54 to get 0.296 then round that to 0.30 multiple by 100 to change to percent which is also just moving decimal over 2 places so 30%

i need help with this fast

Answers

AE = CE (given)
AB = CD (given)
E is the midpoint of BD (given)
BE = ED (if a point is a midpoint then it splits the segments into two congruent parts)
Triangles are equal/congruent ( By SSS)
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