MATHEMATICS COLLEGE

Evaluate each expression for the given value(s) of the variables(s).

Answers

Answer 1

Answer:

9. $(1)/(10,000) = 0.0001$

10. $(1)/(81)$

Step-by-step explanation:

9. $x^(-4)$

Evaluate when x = 10.

Substitute x = 10 into the expression

$10^(-4)$

Apply the negative exponent rule ( $a^(-n) = (1)/(a^n)$ )

Thus:

$= (1)/(10^4)$

$= (1)/(10^4) = (1)/(10,000) = 0.0001$

10. $2a^(-1)b^(-3)$

Evaluate when a = 6 and b = 3

Substitute

$(2*6^(-1))(3^(-3))$

Apply the negative exponent rule

$(2*(1)/(6))((1)/(3^3))$

$((2)/(6))((1)/(27))$

$(2*1)/(6*27)$

$(1)/(81)$

Answer 2

Answer:

$\huge{ \mathfrak{ \underline{ Answer }\: \: ✓ }}$

Question : 9

plugging the value of x as 10, we get

$\longrightarrow\: \: x {}^( - 4)$

$\longrightarrow\: 10 {}^( - 4)$

$\longrightarrow \frac{1}{10 {}^(4) }$

$\longrightarrow(1)/(10000)$

$\longrightarrow0.0001$

Question : 10

plugging the value of

aas 6
b as 3

$\longrightarrow2 {a}^( - 1) b {}^( - 3)$

$\longrightarrow2 * 6 {}^( - 1) * 3 {}^( - 3)$

$\longrightarrow (2)/(6 * 27)$

$\longrightarrow (2)/(162)$

$\longrightarrow (1)/(81)$

_____________________________

$\n \n \mathrm{ ☠ \: TeeNForeveR \:☠ }$

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Graph the image of the given triangle after the transformation that has the rule (x, y)→(−x, −y)

Answers

Firstly, we will find corner points

A=(-2,5)

B=(6,7)

C=(7,4)

the transformation that has the rule (x, y)→(−x, −y)

x---->-x

We will multiply x-values by -1

A=(-2*-1,5)=(2,5)

B=(6*-1,7)=(-6,7)

C=(7*-1,4)=(-7,4)

y---->-y

We will multiply y-values by -1

A=(2,5*-1)=(2,-5)

B=(-6,7*-1)=(-6,-7)

C=(-7,4*-1)=(-7,-4)

now, we can draw points and find graph

we get

Consider an investment of $6000 that earns 4.5% interest. How long would it take for the investment to reach 1500 if the interest is compounded monthly?

Answers

Answer:

20.4 years

Step-by-step explanation:

The future value formula is ...

FV = P(1 +r/n)^(nt)

where P is the principal invested (6000), n is the number of times per year compounding occurs (12), r is the interest rate (.045), and t is the number of years.

Perhaps you're interested in a future value of $15,000 (not 1500). Then we can find t from ...

15000 = 6000(1 +.045/12)^(12t)

2.5 = 1.00375^(12t) . . . . . divide by 6000

log(2.5) = 12t·log(1.00375) . . . . . take logarithms

log(2.5)/(12log(1.00375)) = t ≈ 20.4

It will take 20.4 years for the investment to reach $15,000.

tammy is 5 years younger than doris . in 4 years doris will be twice as old as tammy. how old is tammy now

Answers

Answer:

Tammy is currently 1, and Doris is 6 in 4 years, Tammy will be 5 and Doris will be 10

Step-by-step explanation:

T=D-5

1+4=5

6+4=10

In the final round of a TV game show, contestants have a chance to increase their current winnings of $1 million to $2 million. If they are wrong, their prize is decreased to $500,000. A contestant thinks his guess will be right 50 percent of the time. Should he play

Answers

Answer:

The contestant should not play.

Step-by-step explanation:

As per the given question, their current winning is $1 million.

The probability of the guessing to be true is 50% = $(50)/(100) = (1)/(2)$ .

There is also a possibility of 50% to be wrong, which can reduced the winning amount to $500,000 that is the half of the current amount.

Hence, the contestant should not play.

HEY PLEASE HELP ME ON THIS. LOOK AT THE PHOTO TO SEE THE QUESTIONS 13 THROUGH 16. PLEASE AND THANK YOU .btw this lesson is *Simplify Algebraic Expressions*

Answers

Answer:

13) 6a + 2

14) 6x + 9h +3

15) 10y - 3

16) a) 12C + 7b + 24

b) 12(4) + 7(3) + 24=$93

Please help me 80% of what number is 16 What is the part?
What is the total?
What is the percent?
What is the answer?

Answers

Answer:

80 percent of 16 is 12.8 I'm sorry but that's all I know

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