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 the
time that the rocket will hit the ground, to the nearest 100th of second.
y = -16x2 + 247x + 141

Answers

Answer 1

Answer: 15,99s

when the rocket hit the ground => y = 0

=> -16x² + 247x + 141 = 0 (*)

a = - 16      b = 247     c = 141

Δ = b² - 4ac = 247² + 16.4.141 = 70033 > 0 => (*) has 2 solutions

=> x = [tex]\frac{247-\sqrt{70033} }{32}=-0,55(removed)[/tex]

or x = [tex]\frac{247+\sqrt{70033} }{32}=15,99(s)[/tex]

Step-by-step explanation:


Related Questions

WHAT IS A TAPE DIAGRAM AND WHAT DOES IT LOOK LIKE?

Answers

Answer:

A rectangular visual model resembling a piece of tape with divisions used to assist mathematical calculations. Also known as a divided bar model, fraction strip, length model or strip diagram. In mathematics education, it is used to solve word problems.

Step-by-step explanation:

Answer:

Tape diagrams are visual models that use rectangles to represent the parts of a ratio.

Here's what it looks like

Z-5=8 what is the answer

Answers

Answer:

z = 13

hope it helps ;))

Help please! Thanks!

Answers

Answer:

50

Step-by-step explanation:

120 +angle1 = 180  angle 1 is 60   70+60+angle2 should be equals 180 so 2 is 50 degree

1 is 60 degree 3 is 80 degree 4 is 100 degree 2 is 50 degree

60+40 +angle3 = 180 angle3 is 80  

3+4 should be equal 180 3 is 80 180-80= 100 4 is 100

Will give brainliest if correct

A student has grades​ 84, 91,​ 78, and 74. He will have one more test. If they are all weighted​ equally, what must he earn in order to average at least an 83 for the​ course, so he can earn a​ B?

Enter his minimum test grade. ___

Answers

Answer:

88

Step-by-step explanation:

Find the unit rate. Round your answer to the nearest hundredth.
3500 calories for 6 servings of pie

Answers

3500cals/6 servings

583 1/3 cals per serving.

583 calories per serving.

The speed of a train increases from 650 km/hr to 800 km/hr in 5 hours. What is its acceleration?

Answers

Answer:

\overline{a} = \frac{v - v_0}{t} = \frac{\Delta v}{\Delta t}

Step-by-step explanation

i do not really understand but use this formula

= average acceleration

v = final velocity

v_0 = starting velocity

t = elapsed time

I need 5 lines that have a positive slope

Answers

Answer:

y=5x+3

y=2x-6

y=(2/3)x+8

y=100x-15

y=10x-2990

Step-by-step explanation:

The equation of a line is y=mx+b, where m is the slope and b is the intercept. As long as m is positive and you plug something in for b, it can be used to answer your question.

f (x) = 2x3 + x2 - 7x + 1 has

Answers

Answer: (x + 2) • (x - 1) • (2x - 3)

Step-by-step explanation:

Write an equivalent multiplication expression. Then, find the quotient in its simplest form. Use a model to support your response. 1 4 ÷ 2 and 2 3 ÷ 6

Answers

Step-by-step explanation:

Let the integers be a, b and c. To model the expression generally;

[tex]\dfrac{a}{b} \div c = \dfrac{a}{b} \times \dfrac{1}{c}\\= \dfrac{a}{bc}[/tex]

Using the model to solve the following expression given

a)  [tex]\dfrac{1}{4} \div 2[/tex]

[tex]= \dfrac{1}{4} \times \dfrac{1}{2}\\= \dfrac{1}{4*2}\\= \dfrac{1}{8}[/tex]

b)

[tex]= \frac{2}{3} \div 6 \\= \dfrac{2}{3} \times \dfrac{1}{6}\\= \dfrac{2}{3*6}\\\\= \dfrac{2}{18}\\= \dfrac{2}{9}[/tex]

Questlon 2 of 10
The amount of time between interest payments is known as:
A. simple interest.
B. interest.
C. principal.
D. period
SUBMIT

Answers

Answer: D) Period

You could refer to this as the time period. Usually the time period is in months. So you make monthly interest payments, often with the principal mixed in somewhat.

A firefighter needs to lean a ladder against a wall of a building to reach a window. How far away from the base of the building should he/she place the foot of the ladder? Ladder is 25 feet long, window is 23.8 feet high in the building.

Answers

Answer:

7.7 feet

Step-by-step explanation:

Let the distance from the base of the building to the foot of the ladder be represented by x. Ladder is 25 feet long, while window is 23.8 feet high.

The length of the ladder, the height of the window and the distance from base of building to foot of ladder describes a right angled triangle.

Thus, applying the Pythagoras theorem;

[tex](25)^{2}[/tex] = [tex](23.8)^{2}[/tex] + [tex]x^{2}[/tex]

625 = 566.44 + [tex]x^{2}[/tex]

625 - 566.44 = [tex]x^{2}[/tex]

58.56 = [tex]x^{2}[/tex]

⇒ x = [tex]\sqrt{58.56}[/tex]

      = 7.653

The foot of the ladder should be placed 7.7 feet away from the base of the building.

(x+2/3)=(2x-4/2)
what is x equal to?

Answers

x + 2/3 = 2x - 4/2
2/3 + 4/2 = 2x - x
2 + 2/3 = x
8/3 = x

I hope this helps!

Express each ratio as a fraction in the simplest form
12 blue cars out of 48 cars

Answers

The ratio in simplest form is 1/4

The ratio is 12/48 and yo I just have to simplify it

Can you pls mark brainleist

CAN SOMEONE HELP ME

Answers

Answer is 4/5
Hope this helped

Find 6,650/35. please help me i tried using calculator but it put 0.19

Answers

Answer:

113

i did it in the caculater and this is what showed.

Answer:

That's odd, the actual answer is 6650 / 35 = 190

Good luck! Hope this helped :)

A slug travels 3 centimeters in 3 minutes. A snail travels 6 centimeters in 6 minutes. Both travel at constant speeds. Mai says, “The snail was traveling faster because it went a greater distance.” Do you agree with Mai's reasoning

Answers

Answer:

No

Step-by-step explanation:

If you find the rate, they are the same.

3 minutes/3= 1 minute

3cm/3= 1 cm

Slug= 1 cm per minute

6 minutes/6= 1 minute

6cm/6= 1 cm

Snail= 1 cm per minute

If a 150-pound teenager eats 5.5 pounds of food per day, is that proportional to a 250-pound panda eating 40 pounds of bamboo a day? Explain your answer.

Answers

Answer: No It's not proportional as the constant of proportionality for both of them.are different.

Step-by-step explanation:

For the first part of the question, a 150-pound teenager eats 5.5 pounds of food per day, we've to calculate the constant of proportionality. This will be:

y = kx

150 = 5.5k

k = 27.27

For the second part of the question, a 250-pound panda eats 40 pounds of bamboo a day. we've to calculate the constant of proportionality. This will be:

y = kx

250 = 40k

k = 250/40

k = 6.25

This shows that the 150-pound teenager eats 5.5 pounds of food per day, is not proportional to a 250-pound panda eating 40 pounds of bamboo a day because th e value of k are different.

what is the nearest integer of 3^ square root 74

Answers

Answer:

74

Step-by-step explanation:

Chelsea is budgeting for her trip to the mall. She
does not want to spend any more than $140. If
she wants to buy a dress that costs $28.50 and
I some shirts that cost $20.75 each, how many
shirts can she buy? Use the inequality to help
solve the problem.
140 > 28.50 + 20.75x

Answers

Answer:

Chelsea can buy 5 shirts.

Step-by-step explanation:

Subtract 28.50 from 140. This is because subtraction is the inverse of addition, so it will cancel out. 111.50 > 20.75xDivide both sides by 20.75. Division is the inverse of multiplication. 5.3734939759 > x

You can't split shirts when buying them, so Chelsea can buy 5 shirts.

$12.50 for 5 ounces Write a unit rate for the situation.

Answers

Answer:

$2.50 per ounce

Step-by-step explanation:

12.50÷5= 2.50

Answer:

$2.50c

Step-by-step explanation:

a softball with a mass of 0.20 kg is thrown with a net force of 80 N. What is the acceleration of the softball as it begins to move to the nearest m/s squared.

Answers

Answer:

divide it

Step-by-step explanation:

Step-by-step explanation:

Mass of Ball- 0.20KG

Force applied-80N

F= m×a

M=f÷a

M= 80÷0.20

Answwer= 400 m/s(sq)

How far 75% of 2000 km trip

Answers

Answer:

1,500

Step-by-step explanation:

Hope I helped

Compare data set A and data set B.
Set A: mean = 79.6, standard deviation = 9.8
Set B: mean = 79.6, standard deviation = 2.3

Answers

Answer:

Set A: mean = 79.6, standard deviation = 9.8

Step-by-step explanation:

Set A has a larger spread of data.

If Set A: mean = 79.6, standard deviation = 9.8 and Set B: mean = 79.6, standard deviation = 2.3 then set A has  larger spread of data compared to set A.

What is Statistics?

Statistics is the study and manipulation of data, including ways to gather, review, analyze, and draw conclusions from data.

Given,

Set A:

mean = 79.6,

standard deviation = 9.8

Set B:

mean = 79.6,

standard deviation = 2.3

As we compare both set A and set B the mean of set A and set B are same whereas set A has more standard deviation than set B.

As Standard deviation is an important measure of spread or dispersion.

if the standard deviation is small, then this tells us that the results are close to the mean, whereas if the standard deviation is large, then the results are more spread out.

Set A has a larger spread of data.

Hence Set A has larger spread of data compared to set A.

To learn more on Statistics click:

https://brainly.com/question/29342780

#SPJ2

HELP PLEASE!!! STATISTICS

Answers

Answer:

its b

Step-by-step explanation:

its b i for some reason got it right

Create a 5th degree trinomial that has a constant term of 3.

Answers

Answer:

[tex]4x^5\:+\:9x^2\:+\:3[/tex] is a trinomial having three terms, with degree 5 and the constant term '3'.

Step-by-step explanation:

Considering the trinomial

[tex]4x^5\:+\:9x^2\:+\:3[/tex]

As the polynomial contains 3 terms, so it is a trinomial.

As the highest power of the variable 'x' is 5, so the degree of this polynomial is 5.

Any term with no variable is called a constant term. so, 3 is a term with no variable. Therefore, the constant term is 3.

Therefore, [tex]4x^5\:+\:9x^2\:+\:3[/tex] is a trinomial having three terms, with degree 5 and the constant term '3'.

Mia bought 8 copies of the same book. She spent $32.
What was the cost of one book?

Answers

Answer:

rhe cost of one book was $4. 32/8=4

Step-by-step explanation:

32÷8=4 so mia spent 4 dollars

What is the value of 6(2b-4) when b =5

Answers

6(2(5)-4)= 6(10-4)= 6(6)=36 so your answer is 36

Answer:

Step-by-step explanation:

6(2b-4)  sub 5 for b

6(2(5)-4)

6(10-4)

60-24

36

Monica weighed 135 pounds before she started a 3 week diet for her cruise. She lost 18 pounds in the first 2 weeks then gained 5 pounds back the last week. Choose the answer below that correctly identifies how much Monica weighed when she left for her cruise.
A.
112 pounds
B.
104 pounds
C.
140 pounds
D.
122 pounds

Answers

Answer:

D.

Step-by-step explanation:

135 - 18 = 117 + 5 = 122

Answer:

D. 122 pounds

Step-by-step explanation:

135-18=117

117+5=122

Given m|n, find the value of x.

(8x+6) (9x-30)

Answers

Step-by-step explanation:

(8x+6) (9x-30)

=72x²-240x+54x-180

=72x²-186-180

Answer:

(8x+6) (9x-30)

=72x²-240x+54x-180

=72x²-186-180

Step-by-step explanation:

A football team loses 6 yards on its first play. On the next play, the team gains 3 yards.
Which inequality(ies) compare(s) the yardage values correctly? Select ALL that apply.
0 -6> 3
0 -6<3
0 -6<-3
O 3<6
♡ 3-6
? 3<.6

Answers

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