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=-16x^2+147x+80

Answers

Answer 1

Answer:

t = 9.7 seconds

Step-by-step explanation:

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 as :

[tex]y=-16x^2+147x+80[/tex]

We need to find the time that the rocket will hit the ground, to the nearest 100th of second.

When the rocket hit the ground, So,

[tex]-16x^2+147x+80=0\\\\x=-0.515\ s\ and\ 9.70\ s[/tex]

Neglecting negative tim,

t = 9.7 s

Hence, it will hit the ground at 9.7 seconds.


Related Questions

Find angle M and angle J of the isosceles trapezoid

Answers

angle J would be 118 degrees and angle M would be 62 degrees. this is because it’s an isosceles trapezoid and corresponding angles are the same.

To win the game, the team must score at least 8 goals. What inequality represents the number of goals, g, the team must score

Answers

So, on  solving the provided question, we can say that  to form a inequality - x * y > 8

What is inequality?

An inequality in mathematics is a relationship between two expressions or values that is not equal. Thus, imbalance leads to inequality. An inequality creates the link between two values that are not equal in mathematics. Egality is distinct from inequality. When two values are not equal, most commonly use the not equal sign (). Different inequalities are used to contrast values, no matter how little or large. Many simple inequalities may be resolved by modifying the two sides until the variables are all that remain. But a number of things contribute to inequality: Negative values on both sides are divided or added. Trade off the left and right.

here to form a inequality-

let x = goals by each player

y = no. of players

x * y > 8

To know more about inequality visit:

https://brainly.com/question/29914203

#SPJ4

HELP!! PLZZZZZZZZZZZZZZZZZZZZZZZ!!!

Answers

Answer:

x (greater than or equal to) -53 *The last bubbled option*

Step-by-step explanation:

correct answer gets brainlest
Select all of the expressions that could represent 19x50 using
distributive property

1. 19(25x2)
2. 19+25+25
3. (19x25) + (19x25)
4. 19x50
5. 19x25x25
6. (10x50) + (9x50)

Answers

Answer:

1. 19(25x2)

Step-by-step explanation:

19 x 25 = 475

475 x 2 = 950

19(25x2)
= 19(50)

19 x 50

(10x50) + (9x50)

number 1 and 4 and 6

A 40-liter fish tank is being filled with a faucet at a constant rate of 2 liters per minute. Before the faucet is turned on, the fish tank has a volume of 3 liters. The volume of water V in the fish tank is a function of time t. Time is measured in minutes and volume of water is measured in liters. Use the equation to complete the function table.

Answers

The volume of water in the fish tank for the given time value is 0, 5, 7, 9, 11, and 13 liters.

The equation V = 3 + 2t expresses a time function, which represents the volume of fish tank as a function of time. It means that after t time, volume V is given by the equation. In the given table. t = 0,1,2,3,4,5. Hence, the volume can be determined by substituting the value of t in the equation.

When t = 0

V = 3 + 2(0) = 3 liter

When t = 1

V = 3 + 2(1) = 5 liter

When t = 2

V = 3 + 2(2) = 7 liter

When t = 3

V = 3 + 2(3) = 9 liter

When t = 4

V = 3 + 2(4) = 11 liter

When t = 5

V = 3 + 2(5) = 13 liter

Note: The question is incomplete. The complete question probably is: A 40-liter fish tank is being filled with a faucet at a constant rate of 2 liters per minute. Before the faucet is turned on, the fish tank has a volume of 3 liters. The volume of water V in the fish tank is a function of time t. Time is measured in minutes and volume of water is measured in liters. Use the equation V = 3 + 2t to complete the function table.

Learn more about Time function:

https://brainly.com/question/4025726

#SPJ4

Solve for X. The question is what does X equal. This is a grade 7 math question.

Answers

well what you do is

Answer:

Step-by-step explanation:

Multiply both sides by - 21

-21 x x/-21 + 15 = 13 x -21

x + 15 = - 273

x = - 273 - 15

x = - 288

Help, please
Or else I will send the rock to your house

Answers

Answer:

Hi

The answers is

W=36 ÷ 4

what number is in the same ratio to 64 as 5 is to 8​

Answers

Answer: 102.4

Given ratio 5:8

Let's assume the answer to be x

5÷8 should be equal to 64÷x

∴ x= (64×8) ÷ 5

=102.4

The number that has the same ratio to 64 as 5:8 is gotten as; 40

How to Calculate Ratio?

We have the ratio 5:8.

Now, we want to find the number that has the same ratio to 64 as 5:8. Thus, we will use proportion to get this;

x/64 = 5/8

Cross multiply to get;

x = 64 * 5/8

x = 40

How do you verify that a dilation is a similarity transformation?

Answers

A transformation that alters the size of a figure is called a dilation (similarity transformation). It needs a scale factor of k and a central point. Depending on the value of k, the dilatation is either an enlargement or a decrease. The dilation is an enlargement if |k|>1.

If two figures have the same shape but different sizes, they are said to be comparable. A stiff motion combined with a rescaling constitutes a similarity transformation. In other words, a similarity transformation can change shape without changing location or size.

A dilation is a transformation that yields a different-sized picture with the same general shape as the original. Enlargements are dilations that result in a bigger picture. Reduction is the name for a dilatation that shrinks the picture. The initial figure is stretched or contracted by a dilatation.

For more questions on rotation and dilation

https://brainly.com/question/28558697

#SPJ4

WOMENA NGO provides transport refund to every member who attend a seminar as below. a Trainer of trainers (TOT) is given 40% of the money, a Trainer is given 30% of the money,a student lead and other participants share the remaining percentage equally.As a learner,using the knowledge of angles,drawing figures and percentages, draw a pie chart that would help the organization distribute the Transport refund. (Use radius of 4cm)​

Answers

Therefore , the solution to the given question of percentage comes out to be 7.89.

What is a percentage?

A% is a number that represents the percentage of 100 that it is, and it can also be stated as a decimal or a fraction. To convert a percentage to a fraction, place 100 in the denominator and the percentage number in the numerator.

Here,

Given : 40% of the money, a Trainer is given

30% of the money ,a student lead

Find the discount

40 * .15 = 6

Take this from the original price

0.30* 6.3 =1.89

The sale price is 6 + 1.89 =7.89

Therefore , the solution to the given question of percentage comes out to be 7.89.

To know more about percentage , visit

brainly.com/question/20260562

#SPJ1

what is the equation for this graph pls help me and pls make sure it’s right:))

Answers

Answer:

y = 5x + 4

Step-by-step explanation:

First I found the slope by using the the definition that slope is rise/run so I saw that the y value went up from 4 to 9 which is 5 units and then the x value went up one in that same time. This means that the slope is 5/1. Then I found the y intercept by seeing where x = 0. On the graph you can see the line touches the y - axis at a value of 4 which means that the y - intercept is 4. Plugging these values into the y = mx + b equation you get y = 5x + 4.

Answer:

y = 5x + 4

Step-by-step explanation:

Slope-intercept form uses the formula y = mx + b where m is the slope and b is the y-intercept.

The slope is 5, because from one point to another, you go up 5 and over one (5/1)

So you can substitute the slope into the formula:

y = (5)x + b

The y intercept is 4 because that is where the line crosses the y axis.

So substitute that:

y = (5)x + (4)

y = 5x + 4

Express the following in exponential notation: (-4) x ... x (-4) 11 times

Answers

Given:

The expression is:

[tex](-4)\times ...\times (-4) (11\text{ times})[/tex]

To find:

The exponential notation for the given expression.

Solution:

We know that

[tex]a\times a\times ...\times a(n\text{ times})=a^n[/tex]         ...(i)

We have,

[tex](-4)\times ...\times (-4) (11\text{ times})[/tex]

Using (i), the given expression can be written as:

[tex](-4)\times ...\times (-4) (11\text{ times})=(-4)^{11}[/tex]

Therefore, the exponential notation of the given expression is [tex](-4)^{11}[/tex].

HELP THIS IS MY LAST PROBLEM

Answers

The percentage markup the store made before selling those speakers

are 136.33%.

What is the percentage?

A percentage is a value per hundredth. Percentages can be converted into decimals and fractions by dividing the percentage value by a hundred.

Given, A store bought a set of speakers for $82.86 and sold them for

$195.82.

So, The amount of profit is $(195.82 - 82.86).

= $112.96.

Now, The markup percentage can be obtained by the concept of the percentage change.

Now to obtain percentage change we'll divide the net amount change by the original amount and multiply it by 100% which is,

= (112.96/82.86)×100%.

= 136.33%.

learn more about percentages here :

https://brainly.com/question/24159063

#SPJ1

Which best describes the required locus? all points in a plane equidistant from two given points in the plane.
A. two circles with the same radius, one around each point

B. a line on either side of the line through the points, both parallel to the line through the points and equally distant from it

C. the line that is a perpendicular bisector of the segment connecting the two points

D. the line that has the given points as endpoints

Answers

Answer:

C.

Step-by-step explanation:

The line that is a perpendicular bisector of the segment connecting the two points.

Answer:

C. The line that is a perpendicular bisector of the segment connecting the two points

Step-by-step explanation:

I took the test and got it right.

select all pairs of vertical angles (ANSWER ASAP)

Answers

Angle 1 and 3
Angle 2 and 4
Vertical angles are opposite angles

At a certain university, the average attendance at basketball games has been 2,925. This year the attendance for the first 15 games has been 2,515 with a standard deviation of 585. The athletic director claims that the attendance is the same as last year. If what are the critical values for this two-tailed t test

Answers

The absolute value of the test t-score is less than the absolute value of the critical t-score, there is not enough evidence to say that the population mean has changed.

population mean assumed to be 2925

sample mean = 2515

standard deviation of sample = 585.

sample size = 15

t-score is indicated because the standard deviation is taken from the sample rather than from the population.

t-score = (x - m) / s

x is the raw score

m is the raw mean of the population

s = standard deviation of sample/sqrt (sample size) = 585/sqrt(15) = 151.6217 rounded to 4 decimal places.

degrees of freedom = 15 minus 1 = 14.

t-score = (2515 - 2925)/151.6217 = -2.7123 rounded to 4 decimal places.

you need to know the confidence level.

at a 95% confidence level, the two-tailed critical t-score with 14 degrees of freedom = plus or minus 1.7613 rounded to 4 decimal places.

since the absolute value of the test t-score is less than the absolute value of the critical t-score, there is not enough evidence to say that the population mean has changed.

To know more about population mean visit: brainly.com/question/19538277

#SPJ4

Read the attachment below.

Answers

Answer:

The answer is choice c

Step-by-step explanation:

What scale factor was used to create the dilation below centered at point C?

Answers

Answer:

  -2

Step-by-step explanation:

You want to know the dilation scale factor that gives triangle A'B'C from triangle ABC.

Scale factor

We notice that point A' is 4 units down and 2 units right of C, whereas A is 2 units up and 1 unit left of C. The ratio of these distances is the scale factor.

If up and right are positive, then ...

  k = (A' -C)/(A -C) = (2, -4)/(-1, 2) = -2

The dilation scale factor is -2.

HELP!
What is the distance between points (6, -9) and (-3, 4)?​

Answers

Answer:

4 or [tex]\sqrt{250}[/tex]

Step-by-step explanation:

I used M a t h w a y. it's really helpful. Good luck.

#SPJ1
Two numbers have a sum of 21 and a difference of 6. What are these two numbers?

Answers

If the sum of 21 and a difference of 6 then the numbers are 27/2 and 15/2.

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Let, The two numbers be a and b.

Therefore, (a + b) = 21 and (a - b) = 6.

Adding these two equations, The variable 'b' will cancel out and we'll have

2a = 27.

a = 27/2.

And, 27/2 + b = 21.

b = 21 - 27/2.

b = (42 - 27)/2.

b = 15/2.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ1

Please answer correctly !!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

86.2

Step-by-step explanation:

What word describes the genotype TT?

Answers

Answer: It's a homozygous dominant genotype.

Step-by-step explanation: Two capital letters or two lowercase letters are homozygous.

A Find the value of the expression.
6/11 x 5/8
Please reduce your answer!

Answers

Answer:

You would multiply across and then simplify ur answer. So you would do 6*5 which is 30 and then do 11*8 which is 88.  30/88 reduced is 15/44

Hope this helped  

[tex]\dfrac{6}{11} \times\dfrac{5}{8}[/tex]

When multiplying fractions, you have to multiply the numerator by numerator and the denominator by denominator.

[tex]\dfrac{6\time}{11} \times\dfrac{5}{8}[/tex]

[tex]\dfrac{6\times5}{11\times8}[/tex]

[tex]=\dfrac{30}{88}[/tex]

Reduce to simplest form:

[tex]\dfrac{30\div2}{88\div2}[/tex]

[tex]=\fbox{$\dfrac{15}{44} $}[/tex]

Eric lost 65 dollars from his pocket.
Write a signed number to represent this change.

Answers

i am a little confused on the question but i believe the answer is -65 because he lost $65

What is the volume of the figure?

Answers

Answer:

yes

Step-by-step explanation:

maybe

Evaluate C=2 pi r for r=8
A. C=10 pi
B. C=16 pi
C. C=28 pi
D. C=16

Answers

Answer:

If `r` and `R` and the respective radii of the smaller and the bigger semi-circles then the area of the shaded portion in the given figure is: (FIGURE) `pir^2\ s qdotu n i t s` (b) `piR^2-pir^2\ s qdotu n i t s` (c) `piR^2+pir^2\ s qdotu n i t s` (d) `piR^2\ s qdotu n i t s`

Step-by-step explanation:

Answer:C

Step-by-step explanation:Because I did this

What is 37/6 - 5.25 I really need this answer ASAP

Answers

Answer:

11/12

Step-by-step explanation:

If a bag contains 16 red, 4 yellow, 20 blue, and 8 white balloons, what is the part-to-whole ratio of red balloons to all balloons?
A) 1:3
B) 1:4
C) 1:5
D) 1:6

Answers

Answer:

A

Step-by-step explanation:

There are 16 red balloons to 48 total. The ratio is 16:48. Simplified, it’s 1:3

Which graph best represents the equation x^2 + (y - 1)^2 = 3?


Answers

Answer:

smallest circle. last option

Step-by-step explanation:

The bottom one on the far right

A large consumer goods company ran a television advertisement for one of its soap products. On the basis of a survey that was conducted, probabilities were assigned to the following events. The probabilities assigned were , , and a. If an individual recalls seeing the advertisement, what is the probability that the individual purchased the product (to 1 decimals)

Answers

0.30 is the probability that the individual purchased the product

What is probability?

A probability is a number that expresses the possibility or likelihood that a specific event will take place. Probabilities can be stated as proportions with a range of 0 to 1, or as percentages with a range of 0% to 100%.

The proportion between the total number of conceivable outcomes and the number of outcomes in a comprehensive collection of equally probable alternatives that result in a particular occurrence.

Example: When flipping a coin, there are only two possible outcomes: either it will land on its head or on its tail.

Let, B = individual purchased the product

S = individuals recalls seeing the advertisement.

Here, P(B) = 0.20

P(S) = 0.40

P(B ∩ S) = 0.12

Thus, P(B | S) = P(B ∩ S) / P(S)

= 0.12/0.40

= 0.30

P(B) = 0.20 < P(B | S) =0.30

Yes, thus the probability that an individual will purchase the product will increase if the individual sees the advertisement first.  

To know more about probability refer to:

brainly.com/question/24756209

#SPJ4

The complete question is as follows:

Other Questions
Write a decimal ;twenty three hundredths what do you think mexico and central park are like Which of the following are possible examples of sampling distributions? (Select all that apply.) O all mean trout lengths in a sampled lake O mean trout lengths based on samples of size 5 O heights of college students at a sampled university O average SAT score of a sample of high school studentsO average male height based on samples of size 30 X Is Nicaragua rich or poor country? PLEASE FAST WILL GIVE BRANILYA 12-foot tall tent pole is secured to the ground using a piece of rope 15 feet long from the top of the tent pole to the ground. If the tent pole makes a 90-degree angle with the ground, determine the number of feet along the ground from the tent pole to the rope. 3 feet 9 feet 19 feet 81 feet Which word is a synonym for the word inquisitive?A. pushyB. curiousC. amiableD. observant jeff is accused of shoplifting at a department store he is arrested goes to trial and is found not guilty the district attorney however after the trail is given new videotape evidence that jeff did in fact shoplift jeff is brought to trial again for the same act of shoplifting If an owner of real property dies without leaving a will and with no legal heirs, what will generally happen to the property what does Communism means 1 Identify Unscramble the letters below to find some landforms that result from the movement of tectonic plates and related forces.FTIR ELALYVNALIVCCO LIDNASUFATL-CLBOK OMTANNIUCOVNALCI UPAATELDOLEDF TNUMANIO Angie is working on solving the exponential equation 23x = 6; however, she is not quite sure where to start. Using complete sentences, describe to Angie how to solve this equation.Hint: Use the change of base formula: log base b of y equals log y over log b. Express the following terms in the exponential form: (2a) 4 Albert has 225 strawberry plants that he wants to plant in a square formation in evenly spaced rows. How many strawberry plants should he plant in each row? How do you tell if a word is a gerund or a verb? Are 3x-2 and 3x2 reciprocals? Explain. how does the hybridization of the sulfur atom change in the series SF2, SF4, SF6?O sp, sp^3, sp^3 d^2 O sp^3, sp^3 d^2, sp^3 d^2 O sp^3, sp^3, sp^3 d^2 O sp, sp^3 d, sp^3 d^2 O sp^3, sp^3 d, sp^3 d^2 I need serious help !! im not sure if the first one right but i need help Rachelle's car would not start. To find the problem she decided to go alphabetically through the repair checklist of all possible reasons the car will not start. Rashelle's strategy best demonstrates if the slope of a line is 3 ,then the slope of a parallel line is 4 4 3true or false?