MATHEMATICS HIGH SCHOOL

A 25 kg rock , is raised to the top of a hill 10 m high. What is the Potential Energy of the rock ?

Answers

Answer 1
Answer:

Answer:

2450 J

Step-by-step explanation:

mass(m)=25kg

height(h)=10m

gravity(g)=9.8

now,

PE=mgh

=25×10×9.8

=2450J

ANS

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F(x)=-x+4 and g(x)=-2x-3 solve for f(g(x)) x=2

Answers

input
f(g(x))=-(g(x))+4=
g(x)=-2x-3
so
if x=2
f(g(2))=-(g(2))+4
g(2)=-2(2)-3=-4-3=-7

f(g(2))=-(-7)+4=7+4=11

f(g(2))=11

4.5ft is what circumference of a circle

Answers

Formula for the circumference of a circle is
1). 2 • 3.14 (pi) • r
Or
2) d • 3.14
In this case I'm using #1
Plug in the numbers

2 • 3.14 • 4.5= 28.26

In a study of homeowners, 500 were randomly chosen. It was found that 23% of the people did not have a mortgage and owned their homes outright. Determine whether 23% is a statistic or a parameter.A.
It is a parameter because the value describes a characteristic of a population.

B.
It is a statistic because the value describes a characteristic of a sample.

C.
It is a parameter because the value describes a characteristic of a sample.

D.
It is a statistic because the value describes a characteristic of a population.

Answers

A statistic describes the characteristics of a sample while a parameter describes the characteristics of a population.

Here, the population is home owners while the selected 500 home owners is a sample.

It was observed that 23% of the selected 500 home owners (SAMPLE) .....

Hence, 23% is a statistic because it describes a caharacteristic of a sample.

Answer: B

Answer:

B.

It is a statistic because the value describes a characteristic of a sample.

If we divide the polynomial x4 + 4x3 + 2x2 + x + 4 by x2 + 3x, what will be the remainder?

Answers

Hello,

x^4+4x^3+2x²+x+4=(x²+3x)*(x²+x-1) + 4x+4

Remainder=4x+4

Liam wants to buy a bicycle that costs $290.00. His parents say Liam must raise 40% of the money himself. How much money must Liam raise?

Answers

Answer:

Liam must raise $116 .

Step-by-step explanation:

Formula

Percentage = (Part\ value* 100)/(Total\ value)

As given

Liam wants to buy a bicycle that costs $290.00.

His parents say Liam must raise 40% of the money himself.

Percentage = 40%

Total value = $290

Putting in the formula

40 = (Part\ value* 100)/(290)

Part\ value = (40* 290)/(100)

Part\ value = (11600)/(100)

Part value = $116

Therefore the Liam must raise $116 .
40/100 * $290.00 is $116.00

Simplify p(p - q) - q(q - p).

Answers

p(p - q) - q(q - p).    Multiply out.

p*p - p*q - q*q + q*p.         

Note because of the minus before the bracket, the minus inside the bracket changes to +

p² - pq -q² + pq

p² - q² + pq - pq

p² - q² + 0

p² - q²

= p² - q²

I hope this helps.
p^2-pq-q^2+pq=
p^2-q^2=
(p+q)(p-q)=
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