The height above the surface of the Earth​ (in meters) of a rock thrown into the air at 10​ m/s after x seconds is given by f(x)=−9.8x2+10x+1.5. On the surface of the​ moon, the height is given by g(x)=−1.6x2+10x+1.5. How much higher does the rock travel on the moon than on​ Earth? The rock travels about __ ​meter(s) higher on the moon than on Earth.

Answers

Answer 1

Answer:

Rock travels about 8.2x²meters higher on the moon than on the Earth.

Step-by-step explanation:

Expression showing the height of a rock thrown into the air at Earth is,

f(x) = -9.8x² + 10x + 1.5

Similarly, expression showing the height of rock thrown on the moon is,

g(x) = -1.6x² + 10x + 1.5

Difference in the height of the rock thrown on moon = g(x) - f(x)

= (-1.6x² + 10x + 1.5) - ( -9.8x² + 10x + 1.5)

= -1.6x² + 9.8x² + 10x - 10x + 1.5 - 1.5

= 8.2x²

Therefore, rock travels about 8.2x²meters higher on the moon than on the Earth.


Related Questions

A business has weekly profits of $5,000, $1,700, $2,000, $2,500, $5,000, and $3,000. Why is using the mode to describe the data set misleading?

Answers

Answer: IT JUST IS

Step-by-step explanation:

Please answer correctly !!!!!!!!!!!!!!! Will mark brainliest !!!!!!!!!!!!!!!!

Answers

Answer:

c

Step-by-step explanation:

97 degrees. Any angle between 90 and 180 degrees is classified as obtuse

Answer:

If the angle right before cde is the actual mesuarment then your answer is 78 if thats not the  measurment then your answer is 97

Step-by-step explanation:

Suppose y varies directly as x, and y = 7 when x = 2. Find x when y = 21.

Answers

Answer:

Step-by-step explanation:

y = k x X

7 = k x 2

7/2 = k...............1

hence y = 7/2x (substituting eq 1)

y = 21

therefore, x = 2y/7

x = 2 x 21

         7

x = 2 x 3

x = 6    

The required value of x is 6, when y =21 and y directly varies as x.

What is proportion?

A mathematical comparison of two numbers is called a proportion. According to proportion, two sets of provided numbers are said to be directly proportional to one another if they increase or decrease in the same ratio.

Given that,

y directly varies as x,

Implies that,

y ∝ x

or y = k x         (1)

When x = 2 and y = 7, from equation (1)

7 = k × 2

k = 7 / 2

To find the value of x when y = 21,

Substitute values of k = 7 /2 and y = 21 in equation (1),

21 = (7 / 2) × x

3 × 2 = x

x = 6

The value of x when y = 21, is 6.

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Find the value of x in this
equation
(6x + 1) - 3x = (2x - 1)
Help pls ASAP

Answers

Answer:

x = -2

Step-by-step explanation:

evaluate each expression ​

Answers

Answer:

Step-by-step explanation:

6) 4

7) 28

1/2+6 over 3 = x-3 over 2
what is the awser PLZ HELP!!!!!!!!!!!!!!!!!!!!!!!!!

I WILL REPORT U IF U PUT SOMETHING SILLY

Answers

Answer:

x = 7 1/3

Step-by-step explanation:

First, add 1/2 and 6

1/2 + 12/2 = 13/2 = 6 1/2

Our equation now:

13/2 over 3 - x - 3 over 2 = 0

Next, divide 13/2 by 3

13/2 divided by 3 = 13/6

Our equation now:

13/6 over 3 - (x - 3) over 2 = 0

Now, find common denominators and simplify

13/6 - ((x - 3) times 3) over 6 = 0

22 - 3x over 6 = 0

Multiply by six on both sides

22 - 3x = 0

Subtract 22 from both sides

-3x = -22

Divide by -1

3x = 22

Divide both sides of the equation by 3

x = 22/3

x = 7 1/3

Hope this helps!

Solve for x
14x = 5(2x – 4) – 12

Answers

The answer is
X = - 8

Answer:

x=3

Step-by-step explanation:

14x= 5(2x-4) - 12

14x= 10x - 20 - 12

14x= 10x -8

24x= 8

x= 3

round 2.52 to the nearest tenth

Answers

Answer:

2.5

Step-by-step explanation:

Answer:

2.50

Step-by-step explanation:

the tenths place is right after the ones place and before the hundreths place.

in 2.52, 5 is in the tenth's place. It's value is 5/10. The number in the hundreths place is 2, 2 is less than 5 so we round down. 2.52 becomes 2.50

Andy invests £12 000 in a variable rate compound interest account.
The interest is
2% for the first year
3.5% for the second year
5% for the third year

Work out the value of Andy's investment at the end of 3 years.​

Answers

One year later :

[tex]12000 + 12 000 \times \frac{2}{100} = \\ [/tex]

[tex]12000 + 120 \times 2 = [/tex]

[tex]12000 + 240 = 12240[/tex]

That's for first year.

_________________________________

One year later :

[tex]12240 + 12240 \times \frac{3.5}{100} = \\ [/tex]

[tex]12240 + 122.4 \times 3.5 = [/tex]

[tex]12240 + 428.40 = [/tex]

[tex]12668.4[/tex]

That's for second year.

_________________________________

[tex]12668.4 + 12668.4 \times \frac{5}{100} = \\ [/tex]

[tex]12668.4 + 126.684 \times 5 = [/tex]

[tex]12668.4 + 633.42 = [/tex]

[tex]13301.82[/tex]

_________________________________

I think this is the correct answer...

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

HELP PLZ!!!!!!!!!!!! 30POINTS!!!!!!!!

Answers

Answer:

A

Step-by-step explanation:

just watch and go with the flow

True/False: Every positive number has a positive and a negative square root.

Answers

Answer:

True, explanation, lets hope I had a good math teacher lol

Solve 3/5 + 2/5 write The answer in simplest form HURRY PLEASE

Answers

Answer:

Your answer is 1

Step-by-step explanation:

Describe the graph of the inequality x > -1.

Answers

Answer:

See below

Step-by-step explanation:

Given

Inequality x > -1

This inequality covers the interval greater than  - 1

( - 1, + oo)

Its graph covers the space to the right from the point -1

The vertical line  - 1 is a dotted line as - 1 is nor included

oven temperture rose 3 degrees in 1/6 of a minute how much will it heat up in a minute

Answers

Answer:

18

Step-by-step explanation:

6 times 3=18

Answer:

18 degrees

Step-by-step explanation:

If it rose 3 degrees in 1/6 of a minute you just have to multiply 3*6=18

Because if 1/6=3     6/6=18

12 is 90% of what number? Round to the tenth is necessary.

Answers

Answer:

12 is 90% of 13.33.

Step-by-step explanation:

help me pleaseeee i’m gonna fail math and leave a step by step of u can

Answers

Answer:

I think it is D.

Step-by-step explanation:

152-43=109

Answer:

C

Step-by-step explanation:

angle DEC=180-152=28

AB//DEF --> angle A=angle DEC = 28 (alternate angle)

angle B=angle D=43

angle DCE=180-43-28=109

angle ACB= angle DCE = 109 (vertical angle)

angle ACD=180-109 = 71

angle BCE-angle ACD = 71 (vertical angle)

A motorboat heads upstream a distance of 24 miles on the Guadalupe River, whose current is flowing at 3 miles/hour. Which expression can represent the total time it takes to complete a round-trip up and back, where b is the speed of the boat in miles/hour?

Answers

Answer:

24/b-3 + 24/b+3

Step-by-step explanation:

For PLATO users!!!!

This expression represents the total time, Time = [tex]\frac{24}{b-3} + \frac{24}{b+3}[/tex]

What is distance?

Distance is defined as the product of the speed and time.

Given,

b = the speed of the boat in miles/hour

let,  effective speed upstream = (b+3)

effective speed downstream = (b-3)

∵Time = distance/ speed

Given that, upstream a distance of 24 miles

Time = [tex]\frac{24}{b-3} + \frac{24}{b+3}[/tex]

This expression represents the total time it takes to complete a round-trip up and back.

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x-y=11 2x+y=19 elimantion

Answers

Answer:

x=20/3 y=17/3

Step-by-step explanation:

1. x-y=1

2. 2x+y=19

The first equation can be rewritten as 2x-2y=2

We can then subtract the second equation from this:

2x-2y=2

2x+y=19

-3y=-17

y=17/3

Plug this into to solve for x:

x-17/3=1

x=17/3+1

x=20/3

Answer:X=20/3 y=17/3

GIVING BRAINLIEST AND MORE

Answers

Answer:

11×3= 33

33 is the sum of what 11 times 3 equals.

Nathalie has some quarters, dimes, and nickels. The ratio of the number of quarters to the number of dimes to the number of nickels that she has is $9:3:1$. The total value of these coins is $18.20. How many coins does Nathalie have?

Answers

Answer:

the answer is 91

Step-by-step explanation:

One group of 9 quarters, 3 dimes, and 1 nickel has the value of $9 \times 25 + 3 times 10 + 5=26 cents or 2.60 in total.

Since the coins she has are in this same ratio 9:3:1, we can split her coins up into groups of 9 quarters, 3 dimes, and 1 nickel, with each group having a value of 2.60

Because the total value of her coins is 18.20and 18.20\2.60=7, she has 7 of these groups of coins.

Each of these group contains 13 coins, so she has 7 times 13 = 91 coins in total.

Each of these group contains 13 coins, so she has total 91 coins.

What are nickles, dimes, quarters and cents?

A dollar is further divided into some majorly used parts as:

A cent = 100th part of a dollar = $1/100 = $0.01

A nickle= 20th part of a dollar = $1/20 = $0.05

A dime = 10th part of a dollar = $1/10 = $0.10

A quarter = 4th part of a dollar = $1/4 = $0.25

One group of nine quarters, 3 dimes, and 1 nickel has the value of $9

25 + 3 times 10 + 5=26 cents or 2.60 in total.

Since the coins Nathalie has are in this same ratio 9:3:1, thus we can split her coins up into groups of 9 quarters, 3 dimes, and 1 nickel, with each group having a value of 2.60

Due to the total value of her coins is 18.20

18.20/2.60=7,

Hence, she has 7 of these groups of coins.

Each of these group contains 13 coins, so she has total ;

7 x 13 = 91 coins

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I WILL MAKE YOU BRAINLESS WHOEVER HAS THE BEST EXPLAINATION
Simplify the expression. 1.7 – 2.7 – 1.34 + 4.9 – 1.48
explain im lost

Answers

Answer:

0.08

Step-by-step explanation:

1.7 – 2.7 – 1.34 + 4.9 – 1.48

 2.7

- 1.7       (subtract 1.7 from 2.7)

--------

-1.0      [2.7 is greater than 1.7 and 2.7 is negative(in the ques) , therefore  1.0 is negative]

-1.0-1.34

we know that  (-) (-) is (+)

therefore add -1.34 with -1.0

   1.34

+  1.0

-----------

  -2.34 [since 1.34 is greater and it is negative]

-2.34+4.9

we know that (-)(+) is (-)

therefore subtract -2.34 from 4.9

  4.90  ← (we put zero so that we can subtract without getting confused)

-  2.34

------------

  1.56 [1.56 is positive because 4.9 is greater and it is positive]

1.56-1.48

here, digit before the decimal point is same but  after decimal point .56 is greater than .48  therefore subtract 1.48 from 1.56

  1.56

-  1.48

-----------

  0.08

therefore,  1.7 – 2.7 – 1.34 + 4.9 – 1.48 = 0.08

hope it helps you!

Find the next 3 numbers in the pattern. Answer must be written in decimal form.
5.9, 5.6, 5.3, 5.0,

Answers

Answer:

4.7, 4.4, 4.1

Step-by-step explanation:

Find the pattern in the given numbers. Each number is .3 less than the previous number so you would keep subtracting .3 each time.

Answer:

Easy. 4.7,4.4,4.1. You're just subtracting .3.

Step-by-step explanation:


A calculator screen shows a number in scientific notation as 1.04E10. Write this number in standard form.

Answers

Answer:10400000000

Step-by-step explanation:

The standard form of a number is a way of writing the number in a form of a  decimal number, between 1.0 and 10.0, multiplied by a power of 10.

The standard form of the number 1.04E10 is 1.04 x [tex]10^{10}[/tex].

What is a standard form of a number?

The standard form of a number is a way of writing the number in a form of a  decimal number, between 1.0 and 10.0, multiplied by a power of 10.

We have,

1.04E10

This is in a scientific notation.

E10  = [tex]10^{10}[/tex]

So,

1.04E10  = 1.04 x [tex]10^{10}[/tex]

Thus the standard form of the number 1.04E10 is 1.04 x [tex]10^{10}[/tex].

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PLEASEEEEEEEEEEE HELP ME!!! WHAT IS 800,000 IN scientific notataion

Answers

Your answer would be 8 • 10^5

Eight multiply by 10 power 5

Step-by-step explanation:

Because it's in thousands so we right 10 and then number of zero is power

For example

400000

4 ✖ 10 power of 5

Find two points on the x-axis that are 13 units from (2, 12).​

Answers

5 Are you good in geometry I can do this fort you if do my question about geometry

Sarah wants to buy new pillows for her room. Which store offers the Best Buy on pillows? A- 3 pillows for $40, B-4 pillows for $50, C- 2 pillows for $19, or D- 1 pillow for $11

Answers

Answer:

C. each pillow costs 9.5$ each.

Select the correct answer,
Which value of p makes this equation true?
1+1
o p=1
p=0
p=1
The equation has no solution
Submit
Pe
6

Answers

Answer:

p=‒1

Step-by-step explanation:

the answer is p=‒1

because ‒1+1/3=‒1+1/4

0/3 =0/4

0=0

i hope this helps you

Answer:

the answer is p=‒1

because ‒1+1/3=‒1+1/4

0/3 =0/4

0=0

Step-by-step explanation:

70 Points question!!!! Answer ASAP
sec pi/3=2=

Answers

Answer:

pi/6

Step-by-step explanation:

take away the "=" and pretend its a parenthesis and    combined  

the two, the answer would be pi/6.

Answer:

2

Step-by-step explanation:

To Find :-

sec ( π / 3 ) sec ( 180°/3) sec 60° 2

What’s 0.5 divided by 808.0

Answers

Answer:

LoOk At ThE CaLcUlAtOr

Step-by-step explanation:

Fraction form:  1/1616

The Answer is 1616

(Use a Calculator)

Please help really low grade and a test, I need help and I only have 1 attept left!
This is my first question
Which of the following lines is perpendicular to the line 2x - y = 4?
y = -2x - 12
y = 1/2x + 12
y = -1/2x + 12
y = 2x + 12

Answers

Answer:

a

Step-by-step explanation:

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