A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation. Using this equation, find out the time at which the rocket will reach its max, to the nearest 100th of a second.
y=-16x^2+174x+78
equation

Answers

Answer 1

Answer:

551.06feet

Step-by-step explanation:

Given the equation

y=-16x^2+174x+78

At maximum height, dy/dx = 0

dy/dx = -32x + 174

0 = -32x+174

32x = 174

x = 174/32

x = 5.4375

GEt the maximum height

y=-16x^2+174x+78

y=-16(5.4375)^2+174(5.4375)+78

y = -473.0625 + 946.125 + 78

y = 551.0625

Hence the maximum height is 551.06feet to the nearest hundredth


Related Questions

Please help me with this

Answers

The answer is C your welcome

A shot put throwing area is composed of a throwing circle and a sector of a larger concentric circle. The standard measurements for the diameter of the throwing circle, the radius of the sector, and the central angle of the sector are shown in the diagram below. What is the area of the composite figure? Use a problem-solving model. No answer provided . 193.69 b. 190.36 C 3.58 d. 181.21

Answers

Answer:

193.69

Step-by-step explanation:

Alexis is trying to run a certain number of miles by the end of the month. If Alexis is 40% of the way to achieving her goal and she has already run 12 miles, how many miles is she trying to run by the end of the month?

Answers

Alexis has to run 30 miles overall






Karen and her friends decided to have a water balloon fight! They got 20 water balloons and used 6 liters of water to fill them all equally. How much water was in each balloon?

Answers

Answer:

Amount of water in each balloon = 300 milliliter

Step-by-step explanation:

Given:

Amount of water used in balloon = 6 liter

Number of water balloon  = 20 balloon

Find:

Amount of water in each balloon

Computation:

Amount of water used in balloon = 6 x 1000

Amount of water used in balloon = 6,000 milliliter

Amount of water in each balloon = Amount of water used in balloon / Number of water balloon

Amount of water in each balloon = 6,000 / 20

Amount of water in each balloon = 300 milliliter

can someone answer this w²+7w-18

Answers

Answer:

Using the "AC Method" I got (w - 2) (w + 9)

Step-by-step explanation:

Answer:

(w−2)(w+ 9)

Step-by-step explanation:

Grouping

Step 1:

Use the sum-product pattern

w²  + 7 − 18

w² + 9 − 2 −18

Step 2:

Common factor from the two pairs

w²+ 9 − 2 − 18w

( w+ 9) − 2( w+ 9)

Step 3:

Rewrite in factored form

(w + 9) − 2( w+ 9)

(w−2)(w+9)

i need help plzzzzzzzzzzzzzzzzzz what is 1/3(250)25.4=??????

Answers

Answer:

2116.6_

Step-by-step explanation:

Which of the following lists is in order from least to greatest?
A. -2, 5, 4, 3^2
B. -2, 4, 3^2,5
C. 5,4, 3^2, -2
D. -2, 3^2, 4, 5

Answers

Answer:

Are you sure the question is right?

What are the values for X-ray satisfy the equation

X^2 - 5(x) - 14 = 0

A. -2 and 9
B. -2 and -9
C. 2
D. 2 and -7
E. -2 and 7

Answers

Answer:

It's D

Step-by-step explanation:

you just look at the end it's says -14. u have to see what numbers should multiply in order to get negative 14, you can use -2 and 7, or -7 and 2, but you have to see what numbers from the -14 will add up -5 because u have five in there, therfore -7+2 equals -5.* This only happens if you have 1 behind the x^2.

What is the surface area of this figure?

Answers

Answer:

800 cm squared

Step-by-step explanation:

10 x 15 x 4 = 600 + 10 x 10 x 2 = 200

600 + 200 = 800

?????? Cos ?? I don’t know the difference between cos and tan fully yet , but ASAP help here

Answers

The answer is M

Step-by-step explanation:

Cosine: this is the length of the side right next to the angle divided by the longest side/ hypotenuse.

Tan: this is the length of the side opposite of the angle divided by the side directly adjacent/ next to the angle.

In this case, cosine would be 6/10 which Is also 3/5. the angle right next to 6 is Angle M

Given the function f(x) = 0.65x + 117, what
s the x-value of the zero?

Answers

Answer:

x = -180

Step-by-step explanation:

0 = 0.65x + 117

-117 = 65x/100

cross-multiply to solve for 'x':

65x = -11700

x = -11700/65

x = -180

A factory made 100 packs of gum. 80% of the packs contained mint-flavored gum. How many packs of mint gum did the factory make?

Answers

Answer:

80 packs

Step-by-step explanation:

Find 80% of 100 which is 80

Answer:

80

Step-by-step explanation:

100 x 0.8 (the percentage) = 80

what is the answer

?

Answers

In 2 hours, the train will cover 120 miles, in 4 hours, the train will cover 240 miles. The train covered 120 more miles in 4 hours than it did in 2 hours.

Edward took a survey of his classmates to see how many pets each student has. The dot plot shows the results of his survey ll. 0 1 2 3 4 Number of Pets Part A How many people did Edward survey? Part B What is the mean number of pets?​

Answers

Answer:

i. 5 people

ii. Mean number of pets = 2

Step-by-step explanation:

i. From the information given in the question, the number of people surveyed by Edward is 5.

The first person has no pet, the second has 1 pet, the third has 2 pets, the fourth has 3 pets and the fifth has 4 pets.

ii. The mean number of pets is the average number of pets among the people.

The mean number of pets = [tex]\frac{sum of the number of pets}{number of people}[/tex]

                                     = [tex]\frac{0 + 1 + 2 + 3 + 4}{5}[/tex]

                                     = [tex]\frac{10}{5}[/tex]

mean number of pets  = 2

The mean number of pets is 2.

Solve for the missing side. Your answer should be in simplest radical form.
HELPP ME ASAP PLS ):

Answers

Answer:

4√4123

Step-by-step explanation:

please i need help with the answers this is due later on today

Answers

Answer:

384, 216, 290, 192, 384

1446, 1 roll

Step-by-step explanation:

For rectangular boxes, calculate the sum of each side, then multiply it by two.

Box 1: 2(18 x 5) + 2(18 x 4) + 2(5 x 4) = 364

Box 3: 2(11 x 8) + 2(8 x 3) + 2(3 x 11) = 290

Box 5 is a cube (all sides equal), so you can find 1 side's area and multiply it by 6.

Box 5: 6(8 x 8) = 384

For triangular boxes, calculate the edges, then find the triangular area using area = 0.5(base x height).

Box 2: (15 x 3) + (9 x 3) + (12 x 3) + 2(0.5)(9 x 12) = 216

Box 4: 2(13 x 2) + (10 x 2) + 2(0.5)(10 x 12) = 192

Total: 364 + 290 + 384 + 216 + 192 = 1446

Rolls of wrapping paper:

Area of 1 roll = 30 x 60 = 1800

Since 1446 is less than 1800, you only need 1 roll of wrapping paper.

The person above me got everything correct so brainliest them

Write each ratio in simplest terms.
a) There were 10 pizzas for 15 people.
c) There are 20 quarters in $5.00.
e) There were 12 doughnuts for 6 people.
g) There are 40 dimes in $4.00.
i) There are 600 s in 10 min.
b) There are 72 h in 3 days.
d) At the banquet 40 people sat at 5 tables.
f) There are 60 girls for every 80 boys.
h) There are 500 cm in 5 m.
j) There are 60 nickels in $3.00.

Answers

a) 2:3

c) 4:1

e) 2:1

g) 10:1

i) 60:1

b) 24: 1

d) 8:1

f) 3:4

h) 100:1

j) 20:1

Step-by-step explanation:

a) 10:15 then divide each by 5 bc its a common denominator

c) 20:5 then divide each by 5 bc its a common denominator

e) 12:6 then divide each by 6 bc its a common denominator

g) 40:4 then divide each by 4 bc its a common denominator

i) 600:10 then divide each by 10 bc its a common denominator

b) 72:3 then divide each by 3 bc its a common denominator

d) 40:5 then divide each by 5 bc its a common denominator

f) 60:80 then divide each by 20 bc its a common denominator

h) 500:5 then divide each by 5 bc its a common denominator

j) 60:3 then divide each by 3 bc its a common denominator

What is the value of h(−3) when h(x)= 6x2 − 2x + 12?
72
342
48
−36
−306

Answers

Step-by-step explanation:

h(-3)=6×2 - 2(-3) + 12

12+6+12

=30

A person can pay $11 for a membership to the history museum and then go to the museum
for just $1 per visit. What is the maximum number of visits a member of the history
museum can make for a total cost of $100?

Answers

Answer:

89 if you pay 11$ to go to the museum for Justin 1$

Step-by-step explanation:

100 - 11 = 89.

If you are given the hypotenuse and an adjacent
side, which trig function should you use?

Answers

Answer:

cosine

Step-by-step explanation:

Answer:

cosine

Step-by-step explanation:

cosine = adjacent / hypotenuse

Si los dos triángulos ABC y DFE son proporcionales, ¿Cuál será la longitud del lado DE del triángulo DFE?

Answers

Answer:

La respuesta esta abajo

Step-by-step explanation:

Un triángulo es un polígono con tres lados y tres ángulos.

Se dice que dos triángulos son proporcionales si la razón de sus lados correspondientes está en la misma proporción.

de la pregunta, el lado AB es proporcional a DF, AC es proporcional a DE y BC es proporcional a FE

Por lo tanto, dado que ambos triángulos son proporcionales, entonces:

DE / DF = AC / AB

x / 10 = 21/15

x = (21/15) * 10 = 14

help I don’t know the answer

Answers

Report this clown who put the first answer he’s trying to get your ip

Explain how to factor the following:
16x^2 – 40x – 24

Answers

Answer: (x-3)(2x+1)(8)

Step-by-step explanation: First factor out the 8 to get (8)(2x^2-5x-3). So now we have what number multiply out to -6 (ab) and add up to -5. -2 and -3 work out so we manipulate the equation like (8)(2x²-2x-3x-3). Factor out 2x in the first term and -3 in the second and keep going.

can you help me with this please

Answers

Answer:

part a is a and c

part b is sine

Step-by-step explanation:

I hope this helped :)

2. Find the surface area of the cone in terms of pi.

A. 33pi ft
B. 60pi ft
C. 53pi ft
D. 47pi ft

Answers

Answer:

I think the answer is C. 53pi ft

Step-by-step explanation:

SOMEONE PLEASE HELP ME !! THANK YOU

answer has to be in simplest radical form!

find v

Answers


Gxgchccuvugugucuccuug vuvuguufuffifufiufufufufkvjg

Solve the problem.
The locations, given in polar coordinates, of two ships are (7 mi, 44°) and (8 mi, 104°). Find the
distance between the two ships.
A=3601 mi
B=10.63 mi
C=7.55 mi
D=4.00 mi

Answers

Answer is the B Sure let’s gooo

Which option shows the measure of the unknown angle,x and how to find it

Answers

Answer:

E) 37

Step-by-step explanation:

The total measurement for the angle ABC is 90 as it is a right angle.

Add your known angles together and substract from 90 to get your unknown.

90 - 21 - 32 = 37

Answer:

E. Subtract 21 and 32 from 90, x=37

Step-by-step explanation:

Since there are 90 degrees in a right angle, we can find the missing angle by adding the two angles we have together and then subtracting the sum from 90.

Here is a list of numbers:
-5, -15, -10, 5, 14, 5, -18, 11, -4
State the median.

Answers

Answer:

4

Step-by-step explanation:

-18, -15, -10, -5, 4, 5, 5, 11, 14

There are 9 terms. So the one in the middle is the median.

-18, -15, -10, -5, 4, 5, 5, 11, 14

 1      2    3   4   5  6  7  8  9

So 4 is the median.

---

hope it helps

A science club chose to test the pH balance of different foods. They measured the pH balance of 7 different foods and arranged their data from least to greatest. The pH balances were 2, 3, 4, 5, 6, 7, and 8. The mean pH balance of the foods measured was 5.

What is the ​MAD​ (mean absolute deviation) rounded to the nearest tenth?


0.7

1.7

2.4

2.0

Answers

Answer:

2.4 hope this helps u...

the correct answer is 2.4
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