MATHEMATICS HIGH SCHOOL

To convert a fraction into a decimal number, divide the denominator by the numerator. a. True
b. False

Answers

Answer 1
Answer:

Answer:

Option b. False

Step-by-step explanation:

we know that

A fraction is the quotient between the numerator and denominator.

To convert a fraction into a decimal number, divide the numerator by the denominator

so

The statement is False
Answer 2
Answer:

Answer:

true

Step-by-step explanation:

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The slope of the line passing through the points (2, 7) and (-4, 8) is -6 -1/2 -1/6
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The amount of money in Malik's bank account 3 years ago was $1,000. This year his balance is $1,900

Answers

For TTM!!

Hope it helps!
Each year his balance has increased by 300 dollars. 3 x $300 = $900
I assume this is the answer you are looking for.

Is this correct? The answer I picked was the only one that had no limit. If I did it correctly the other choices limit was zero.

Answers

Step-by-step explanation:

These are all examples of p-series:

∑(1 / nᵖ), where p>0.

If p > 1, the series converges.  If 0 < p ≤ 1, the series diverges.

First option:

∑(1/n⁵)

Here, p = 5.  Since 5 > 1, the series converges.

Second option:

∑((√n+3)/n³)

∑((√n)/n³) + ∑(3/n³)

∑(1/n^2.5) + 3 ∑(1/n³)

In the first sum, p = 2.5.  In the second sum, p = 3.  Both are greater than 1, so the series converges.

Third option:

∑((n−4)/(n⁴√n))

∑(1/(n³√n)) − ∑(4/(n⁴√n))

∑(1/n^3.5) − 4 ∑(1/n^4.5)

In the first sum, p = 3.5.  In the second sum, p = 4.5.  Both are greater than 1, so the series converges.

Fourth option:

∑(1/∛n)

∑(1/n^⅓)

Here, p = ⅓.  This is less than 1, so the series diverges.

Note: if a series is converging, then the limit is 0.

However, if the limit of a series is 0, it does not necessarily mean that series is converging.

Here, the limit of all 4 options is 0.  However, the fourth option is a diverging series.

Factor the GCF: −6m2 + 18m − 36.−6(m2 − 3m + 6)
−1(6m2 − 18m + 36)
−6m(m2 − 3m + 6)
−6(m2 + 3m − 6)

Answers

The first option is the right one.

You have to find the greates common divisor of the coefficientes, which is -6 and then divide each momomial with lead to: -6 (m^2 + -3m + 6).

You can verifiy the result by multiplying -6 times the polynomial inside the parenthesis, using the distributive property.

Answer:

The first one is the right one i just took the test

Step-by-step explanation:

A wise man once said, "500 reduced by 4 times my age is 204." What is his age? ( This question is pulled right from the book and the teacher expects me to show steps...please answer with work Thanks.)

Answers

Here's my work:(don't copy the side explanations into yours)

How do I solve for x in the equation 5^x=3125? Also in 5^x=1/125, 9^x=243, 4^x=1/32, and 3*2^x=96?

Answers

remember
if x^m=x^n and x=x, m=n
also
x^-m=1/(x^m)
(x^m)^n=x^(mn)

try to match bases

5^x=3125
5^x=5^5
x=5

5^x=1/125
1/125=1/(5^3)=5^-3
5^x=5^-3
x=-3


9^x=234
3^(2x)=3^5
2x=5
x=2.5


4^x=1/32
1/32=1/(2^5)=2^-5
2^(2x)=2^-5
2x=-5
x=-2.5


3*2^x=96
first divide both sides by 3
2^x=32
2^x=2^5
x=5




5^x=3125
x=5

5^x=1/125
x=-3


9^x=234
x=2.5

4^x=1/32
x=-2.5

3*2^x=96
x=5

5^x=1/125

Take log of both sides

log(5^x)=log(1/125)

x*(log(5))= log(1/125)

x= log(1/125)/ log(25)

x=-3


9^x= 243

Take log of both sides


log(9^x)= log(243)

x*(log(9))= log(243)

x= log(243)/ log(9)

x= 2.5


4^x= 1/32

Take log of

log(4^x)=log(1/32)

x*(log(4))=log(1/32)

x= log(1/32)/log(4)

x= -2.5


3*2^x=96

Divide both sides by 3 so we can make it more simply

3(2^x)/3= 96/3

2^x= 32

Take log of

log(2^X)=log(32)

x(log(2))= log(32)

x= log(32)/log(2)

x=5


As you can see, I only used a simple way for all of them.


I hope that's help:0

H(x) = –x + 5. Which could you change to move the graph down 3 units

Answers

Answer:
(x) = -x + 2
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