On some other planet, Thor stands on a bridge and throws his hammer at his brother Loki, who is at ground level. The hammer’s height h (in meters above the ground), t seconds after Thor threw it, is modeled by:

On Some Other Planet, Thor Stands On A Bridge And Throws His Hammer At His Brother Loki, Who Is At Ground
On Some Other Planet, Thor Stands On A Bridge And Throws His Hammer At His Brother Loki, Who Is At Ground
On Some Other Planet, Thor Stands On A Bridge And Throws His Hammer At His Brother Loki, Who Is At Ground
On Some Other Planet, Thor Stands On A Bridge And Throws His Hammer At His Brother Loki, Who Is At Ground
On Some Other Planet, Thor Stands On A Bridge And Throws His Hammer At His Brother Loki, Who Is At Ground

Answers

Answer 1

Answer:

h(0) = 3600

t=60 when it hits the ground

max height at 4050

at 15 seconds

Step-by-step explanation:

h(t) = -2t^2 + 60t +3600

When it is thrown is t=0

h(0) = -2(0) +60(0) +3600 = 3600

When it hits the ground is h(t) =0

0 =  -2t^2 + 60t +3600

Factor out -2

0 = -2 (t^2 -30t -1800)

Divide by -2

0 = (t^2 -30t -1800)

Factor.  What 2 numbers multiply to -1800 and add to -30

0 = (t+30) (t-60)

Using the zero product property

t+30 = 0   t-60 =0

t = -30     t = 60

Since we do not have negative time

t=60

The maximum occurs halfway between the zeros

(-30+60)/2 = 30/2 = 15

Put this into the function to find the maximum value

h(15) = -2(15)^2 + 60(15) +3600

       = -2 (225) +900+3600

       =4050

Answer 2

Answer:

Thrown at: 3600

Ground after: 60

Max height: 4050

After: 15

Step-by-step explanation:

h(t) = -2t² + 60t + 3600

h(0) = 3600

-2t² + 60t + 3600 = 0

t² - 30t - 1800 = 0

t² - 60t + 30t - 1800 = 0

t(t - 60) + 30(t - 60) = 0

(t - 60)(t + 30) = 0

t = 60, -30(not possible)

h(t) = -2t² + 60t + 3600

-2(t² - 30t) + 3600

-2(t² - 2(t)(15) + 15² - 15²) + 3600

-2[(t - 15)² - 225] + 3600

-2(t - 15)² + 450 + 3600

-2(t - 15)² + 4050


Related Questions

A ladder is leaning against the side of a 10 meter house if the base of the ladder is 3 meter away from house how tall is the ladder?







Answers

Answer:

Depth A trough is 12 feet long and 3 feet across the top (see figure). ... 3 8 25. Moving Ladder A ladder 25 feet long is leaning against the wall of a house (see figure). The base of the ladder is pulled away from the wall at a rate of 2 feet per second. ... Construction A construction worker pulls a five-meter plank up the side of a ...

Step-by-step explanation:

13 meters Becuase ten plus three is equal to 13

The list of all factors for 32 is 1,2,4,8, and 32.
True or False

Answers

Answer:

False

Step-by-step explanation:

The list of all the factors of 32 is 1, 2, 4, 8, 16, and 32

False u missed one it is 16

The expression (5 + 3) - (3 + 7) is a
sum.
product.
difference.

Answers

The answer would be Sum

Answer:

DIFFERENCE

Step-by-step explanation:

It is a difference because you are subtracting or finding the difference between 5+3 and 3+7.

Easy Question, Easy Points

Topic: Volume

Focus on question 12

Answers

Answer:

V = 0.6 m.

Step-by-step explanation:

Volume = l x w x h

in this case if you input the cube's values its volume = 1 m and 1 - 0.4 = 0.6m

Please mark as brainliest :)

Answer:

V=.6m

Step-by-step explanation:

Please mark as brainliest

Allan is ordering a set of rational numbers that includes positive values, negative values , fractions , and decimal numbers . How can he order them ?

Answers

Answer:

Allan can order them from least to greatest.

Step-by-step explanation:

Answer:

First, Allan should write the fractions as decimals by dividing the numerator by the denominator. Then he can plot the points on the number line. Reading the plotted points from left to right gives the points in order, from least to greatest.

Step-by-step explanation:

The speed of a boat in still water is 24 mph. It goes 15 miles downstream and comes back in 80 minutes. What is the speed of the stream? *

Answers

Final answer:

The problem involves calculating the speed of the current in a river using the given data: the speed of a boat in still water, the distance traveled downstream and upstream, and the total time taken. An application of the concept of relative speed helps solve the problem by setting up an equation reflecting the speeds during the downstream and upstream runs, then solving for the speed of the current.

Explanation:

The problem demonstrates an application of relative speed in the context of a boat moving in a stream. Let's denote the speed of the boat by 'b', the speed of the stream by 's', the time taken to move downstream by 't1', and the time taken to move upstream by 't2'. The speed of the boat in still water is given as 24 mph.

When moving downstream, the boat and the stream are going in the same direction, so their speeds add up: the actual speed will be b+s (24 mph + s). On the other hand, when moving upstream, the boat is going against the stream, so the actual speed is b-s (24 mph - s).

The total time taken to go 15 miles downstream and return is 80 minutes or 4/3 hours. Therefore, using the formula for time (time = distance/speed), we can set up the following equation: 15/(24+s) + 15/(24-s) = 4/3

Solving this equation will give us the value of 's', which represents the speed of the stream.

Learn more about Relative speed here:

https://brainly.com/question/14362959

#SPJ12

The speed of the stream is 6mph.

To find the speed of the stream, we can use the concept of relative speed.

When the boat is going downstream (with the current), the effective speed is increased by the speed of the stream. So, the effective speed downstream is v + s

When the boat is going upstream (against the current), the effective speed is decreased by the speed of the stream. So, the effective speed upstream is V- s

1. Time taken downstream

[tex]\[ t_d = \frac{\text{Distance}}{\text{Speed}} = \frac{15}{v + s} \][/tex]

2. Time taken upstream

[tex]\[ t_u = \frac{\text{Distance}}{\text{Speed}} = \frac{15}{v - s} \][/tex]

3. Total time for the round trip

  The total time taken for the round trip is the sum of the time taken downstream and upstream.

[tex]\[ \frac{15}{v + s} + \frac{15}{v - s} = \frac{80}{60} \] (converted minutes to hours)[/tex]

Now, let's substitute v = 24 into the equations and solve for \( s \), the speed of the stream.

Once we have s  we can find the speed of the stream.

[tex]\[ \frac{15}{24 + s} + \frac{15}{24 - s} = \frac{4}{3} \][/tex]

Multiplying both sides of the equation by ( (24 + s)(24 - s) to clear the denominators:

[tex]\[ 15(24 - s) + 15(24 + s) = \frac{4}{3}(24 + s)(24 - s) \][/tex]

Taking the square root of both sides:

s= 6

Therefore, the speed of the stream is 6 mph.

The list of multiples for 6 is infinite.
True or False?

Answers

Answer:

True

Step-by-step explanation:

As there are infinite numbers, the list of multiples are also infinite.

Multiples of 6 : 6, 12 , 18 , 24 ..............

Answer:

True; yes.

Step-by-step explanation:

Think about it, what does etc, etc mean? It means repetitive-a pattern, in a sort of way. So here are some multiples of 6:

6,12,18,24,30,36,42,48,54,60,66,72,78,84,90,96,102,108,114,120,126,132,138,144,150,156,162,168,174,180,186,192,198,204,210,216,222,228,234,240,246,252,258,264,270,276,282,288,294,  etc.

As you can see, all I'm doing is adding 6 to every step I go. So when you say there is an infinite number, then these multiples are going to be infinite.

PLEASE HELP

Figure ABCD is reflected across the y-axis.


What are the coordinates of A' , B' , C' , and D' ?


Enter your answer in each box.

Answers

The coordinate for A, B, C, and D: (Current coordinates)

A: (-1, 4)

B: (-5, 8)

C: (-5, 4)

D: (-4, 2)

Once we reflect acorss the y-axis the coordinates become:

A': (1, 4)

B': (5, 8)

C': (5, 4)

D': (4, 2)

In this situation the coordinates just become positive.

I hope this helps!

YO PLEASEEE HELP ASAP !!!!
What is the factored form of this quadratic trinomial?
x2 − x − 42

A. (x + 6)(x − 7)
B. (x + 14)(x − 3)
C. (x − 6)(x + 7)
D. (x − 14)(x + 3)

Answers

Answer:

The answer is A. (x+6)(x−7)

Step-by-step explanation:

I used a calculator.

Answer:

other person is right...

Step-by-step explanation:

its right on plato/edmentum though.

c=4h+9f +4p solve for F

Answers

Answer:

the answer to your question will be f = c/9 - 4h/9 - 4p/9

Step-by-step explanation:

as much as I would like to, I'm really not that great at explaining things

Alexa is planning to drive across the United States in her car. She started making a table to represent the proportional relationship between gallons of gas and miles driven. The table shows how far she can travel for each gallon of gas that she uses.

What is the constant of proportionality?
miles per gallon

Answers

Answer:

28

Step-by-step explanation:

Answer:

28

Step-by-step explanation:

find the area of the kite.

area = _[tex]m^{2}[/tex]

Answers

Answer:

24 m^2

Step-by-step explanation:

The area of a kite is the product of the diagonals divided by 2.

If the diagonals have lengths a and b, then area = ab/2

area = ab/2

a = horizontal diagonal = 2 m + 6 m = 8 m

b = vertical diagonal = 3 m + 3 m = 6 m

area = (8 m)(6 m)/2 = (48 m^2)/2 = 24 m^2

Which Venn diagram is NOT correct?

Answers

There is no picture how do I help

What is Mara has 7 cups of green paint and a container filled with 64 fluid ounces of yellow paint which color of paint does Mara have a lot of explain your reasoning

Answers

Answer: Mara has a lot of yellow paint

Step-by-step explanation:

Mara has less green paint because 7 cups is the same as 56 fluid ounces and 56 is less than 64 (yellow paint)

Final answer:

Mara has 56 fluid ounces of green paint and 64 fluid ounces of yellow paint. Therefore, Mara has more yellow paint. The calculations involve converting units of measure for an accurate comparison.

Explanation:

To answer your question accurately, it would be necessary to convert the measurements to the same unit. Given that 1 cup is approximately 8 fluid ounces, Mara's 7 cups of green paint convert to 56 fluid ounces (7 cups * 8 ounces/cup).

Comparing this to the 64 fluid ounces of yellow paint, we find that Mara has more yellow paint.

The comparison was made by first converting the quantity of green paint from cups to fluid ounces for a direct, accurate comparison between the two quantities of paint. This kind of problem is a great example of why understanding units of measure is important in mathematics and in everyday life.

Learn more about Unit Conversion here:

https://brainly.com/question/32030244

#SPJ2

Can someone please help me on this?

Answers

Answer:

D just did it your welcome

Step-by-step explanation:

The answer would be D . I had the same question on my test before

Florist ran 1.2 miles and walked 4.8 laps around the path at the park for a total distance of 3.6 miles. which shows the correct equation and value of x, the distance of 1 lap around the path at the park?

Answers

Answer:

.9167 miles per lap

Step-by-step explanation:

3.6 miles total-1.2 miles walked= 4.4 miles in laps

4.4 miles=4.8 laps

we are solving for miles per lap, so we divide 4.4m/4.8l

Answer:

The correct answer is D.

Step-by-step explanation:

No solution 4x+2=4x+

Answers

Answer:

Any positive number will make this true.

Some answers it can be:

4x=2=4x+5

4x+2=4x+3

Which functions have real zeros at 1 and 4? Check all that apply.

Answers

Answer:

B, D

Step-by-step explanation:

These are the correct answers.

Answer:

B. f(x) = x2 – 5x + 4

D. f(x) = –2x2 + 10x – 8

Step-by-step explanation:

guy above me is right

What is the probability that the product of two dice is greater than
15 on two separate rolls?

Answers

Answer:

25/324

Step-by-step explanation:

Make a table of possible products:

[tex]\left[\begin{array}{ccccccc}&1&2&3&4&5&6\\1&1&2&3&4&5&6\\2&2&4&6&8&10&12\\3&3&6&9&12&15&18\\4&4&8&12&16&20&24\\5&5&10&15&20&25&30\\6&6&12&18&24&30&36\end{array}\right][/tex]

Of the 36 results, 10 are greater than 15.

The probability the product is greater than 15 on a single roll is 10/36 = 5/18.

The probability the product is greater than 15 on two rolls is (5/18)² = 25/324.

1. The buzz about coffee A recent study of over 400,000 older people in eight states asked participants whether or not they drank coffee and followed them for 13 years. The researchers found that coffee drinkers tend to live longer than non-coffee drinkers.
a. What is the statistical question that the researchers were trying to answer? b. Identify the population and the sample.
c. Is this an observational study or an experiment? Explain.

Answers

Answer:

a. The correlation between drinking coffee and longevity among older people

b. The population is the entire population of older people

The sample is the over 400,000 older people from eight states

c. It is an observational study

Step-by-step explanation:

a. A statistical question is a question that results in different answers from different respondents. Here the statistical question the researchers are trying to answer is if there is a correlation between drinking coffee and longevity among older people

b. The population is the entire population of older people and the sample is the over 400,000 older people from eight states  

c. An observational study is one in which the researchers sought or collect data based on what is obtainable and make conclusions based on the sought or obtained data. An experiment is one in which the effects of inputs from the researchers on a group is recorded

From the description of the question, therefore, the study is observational.

Final answer:

The researchers were trying to determine if coffee drinkers live longer than non-coffee drinkers. The population studied was older people in eight states, with a sample size of 400,000 participants. The study was an observational study that followed participants for 13 years.

Explanation:

a. The statistical question that the researchers were trying to answer is whether coffee drinkers live longer than non-coffee drinkers.

b. The population in this study is older people in eight states, while the sample is the 400,000 participants who were involved in the study.

c. This study is an observational study because the researchers observed the participants' coffee consumption and followed them for 13 years without intervening or manipulating any variables.

Learn more about Coffee and longevity here:

https://brainly.com/question/34700362

#SPJ3

What is the probability that a data value in a normal distribution is between a z-score of -0.28 and a z-score of 0.64? Round your answer to the nearest tenth of a percent. A. 90.9% B. 58.1% C. 34.9% D. 73.3%

Answers

Answer:

[tex]P(-0.28 <Z< 0.64) = P(Z<0.64) -P(Z<-0.28)[/tex]

[tex]P(Z<0.64) =0.739[/tex]

[tex]P(Z<-0.28) =0.390[/tex]

And with the difference we got: 0.739-0.390 = 0.349

And if we convert the probability to % we got 0.349*100 = 34.9%. And the best answer would be:

C. 34.9%

Step-by-step explanation:

For this case we want this probability:

[tex] P(-0.28 <Z< 0.64)[/tex]

And we can find this probability using the normal standard distribution and with the following difference:

[tex]P(-0.28 <Z< 0.64) = P(Z<0.64) -P(Z<-0.28)[/tex]

If we find the individual probabilities we got:

[tex]P(Z<0.64) =0.739[/tex]

[tex]P(Z<-0.28) =0.390[/tex]

And with the difference we got: 0.739-0.390 = 0.349

And if we convert the probability to % we got 0.349*100 = 34.9%. And the best answer would be:

C. 34.9%

The probability of a value falling between z-scores of -0.28 and 0.64 in a normal distribution is found by taking the cumulative area under the standard normal curve for each z-score and calculating their difference, which results in approximately 34.9% after rounding. Thus, the correct answer to the student's question is option C) 34.9%.

The question addresses the calculation of probabilities for specific ranges of z-scores in a normal distribution. To find the probability that a data value is between a z-score of -0.28 and a z-score of 0.64, we need to look at the standard normal distribution table or use a statistical software that provides the cumulative area up to these z-scores.

The probability of a value being less than z = 0.64 is P(Z < 0.64). According to the z-table, this probability is approximately 0.7389. Similarly, the probability of a value being greater than z = -0.28 (which is equivalent to less than due to symmetry) can be found as 1 - P(Z < -0.28), which, when referred to a z-table, gives a value of about 0.6103. Therefore, the total probability of a value being between z = -0.28 and z = 0.64 is the difference between these two probabilities, 0.7389 - (1 - 0.6103) = 0.3492 or 34.92%.

However, this value needs to be rounded to the nearest tenth of a percent, which yields 34.9%. So the correct answer is C. 34.9%.

PLEASE HELP
Answer as a decimal with four decimal places
2.5x0.3 =
(0.3 is a repeating fraction)

Answers

Answer: 0.8333

Step-by-step explanation:

the solid below is made from 1 yard cubes. find it's surface area​

Answers

Answer:

surface area = 28 yard²

Step-by-step explanation:

given data

1 unit length of cube = 1 yd

solution

As given image shown that rectangular solid has length 5 units, width 2 units, and height 2 units.

so we get here surface area that is we get by area of each of its faces

we can see three face are

A front = L × W  = 2 × 2 = 4

A side = L × W  = 5 × 2 = 10

A top = L × W = 5 × 2 = 10

so here

surface area = ( front + back ) + ( left side + right side ) + ( top + bottom )   ................1

surface area = ( 2 × front ) + ( 2 × left side ) + ( 2 × top )

surface area = ( 2 × 4 ) + ( 2 × 10 ) + ( 2 × 10 )

surface area = 8 + 20 + 20

surface area = 28 yard²

I only need e f g done!!! WIll give brainliest!!

Answers

Answer:

E) the new price is going to be $3.92

  Work: 3.50 × 12 / 100 = 0.42

             3.50 + 0.42 = 3.92

F) Dont understand what this one is asking

G) You would save 1.03$ with the 10% off.

  Work: 10.3 x 10 / 100

              103 / 100

             $1.03

hope this helps

Solve : 6=m-7/8
HELP!!!

Answers

Answer:

Step-by-step explanation:

[tex]6=m-\frac{7}{8}\\\\6+\frac{7}{8}=m\\\\\frac{6*8}{1*8}+\frac{7}{8}=m\\\\\frac{48}{8}+\frac{7}{8}=m\\\\\frac{55}{8}=m\\\\m=\frac{55}{8}[/tex]

solve for A A/20 = 7

Answers

Answer:

A = 140

Step-by-step explanation:

Answer:

in my opinion the answer is A=140

Step-by-step explanation:

y = 200 + 350x , y = 3x When x = 7, which equation has the greater value?

Answers

Answer:

y=200+350x

Step-by-step explanation:

3*7=21

200+350*7=2450

Find the surface area.
24 yd
15 yd
15 yd
+13 yd
15 yd

Answers

The surface area of the figure in square yards is 1275 square yards

Surface area of a prism

The surface area of a figure is the tota sum of all the area of the faces.

For the given diagram, it consist of 2 triangles and 3 rectangles

Area of the figure = 3(24 * 15) + (13* 15)

Surfacea area = 3(360) + 195
Surface area = 1080 + 195

Surface area = 1275 square yards

Hence the surface area of the figure in square yards is 1275 square yards

Learn more on surface area of prism here: https://brainly.com/question/1297098

The expression x2 – 12x + 36 factors to (x - )^2

Answers

Answer:

(x-6)^2

Step-by-step explanation:

x^2-12x+36

=(x-6)(x-6)

=(x-6)^2

Please help me on this question ASAP :)

Answers

Answer:

x=12, y=4

x=3, y=1

x=18, y=6

Step-by-step explanation:

To solve for x in the given table, you can plug in the values x into the rule and solve for y.

Other Questions
Which graph shows a system of equations with exactly one solution? Can somebody please tell me the answer to this Blacks debated about which tactics to use to end segregation. Audrey's parents tried legal measures. In 1959, they sued the city of Birmingham to integrate its public parks. They won that case, but in 1962, the city closed all of its parks, swimming pools, playgrounds, and golf courses white as well as black to avoid having to integrate. The city even filled the holes on the putting greens with concrete.Weve Got a Job,Cynthia LevinsonWhat was the effect of Audreys parents suing the city to integrate public parks?The city did as the courts directed.The city let blacks into the parks.The city closed all the parks.The city sold all the parks. su prctica ha provocado cambios en la naturaleza, algnos de cules son irreversible PLEASEE HELPPP MEEEEsolve for xANSWER CHOICESa= 7b= 6c= 2d= 4 How many moles of SnF will be produced along with 48 grams of H? * Which of the following slopes show that the set of points C(1, 1), D(3, -4), E(5, 8) are not collinear? 1/3, -5/3, -2/5 1/2, 3, 5 -1, 1/2, -3/5 6, -5/2, 7/4 Please select the word from the list that best fits the definitionRosita esescritora de su escuela. Escribe muy bien.el msla menosla mejorel peor 8. How did Burnsides aggressive moves lead to failure?A. He was unable to keep command of his troops.B. He kept attacking an impenetrable front.C. He attacked from all sides and could not take the city.D. He was removed from command for his actions. The following is a strand of DNA:C-T-A-G-C-T-A-T-A-C-G-A-C-Tlist the complementary DNA strand that would be made from this strand in DNA replication Pls someone explain to me how to do these problems and step by step explanation pls "Son las doce." answers which Spanish question?O Cuntas personas hay en la clase de espaol?O Qu hora es?Cuntos exmenes hay en la clase de espaol?O A qu hora es? Help me So the question is Enter the value for X that makes the equation -2x + 10 + 4x = 70 true Eff scored a 23/25 on his math test, Maria scored 21/24 on her math test and Jake scored 17/20 on his math test. Who had the highest score? Explain how you know. complete the identity sin(2) sin(4) cos(2) cos(4) = ? Sara works as a lab research assistant at Marsh Labs, which conducts trials for cosmetic products such as sprays, dyes, ointments, soaps, and the like. She joined the firm right out of college and has been working there for almost two years now. Which of the following, if true, would weaken the argument that Sara is experiencing cognitive dissonance? A. She feels that this field of work does not allow her to utilize her full potential. B. She does not wear makeup as she is aware of the ingredients that go into making these products. C. She believes that research and testing are an integral part of providing consumers with safe products. D. She recently attended a presentation on the harmful effects of certain chemicals used in cosmetics. E. None of the above what is 4a^2 +1/4a^2 if 2a+1/2a = 8 The following headline appeared in a 1998 newspaper,"House approves articles charging (the president) with Perjury; Obstruction"Based on the headline, which legislative process is being represented? What is 4.5a+7+3.5a+2 What is 18.706 rounded to the nearest hundredth Steam Workshop Downloader