Determine the value of the expression 4^3 × 4^-6 .A) -12
B)-1/12
C)64
D)1/64

Answers

Answer 1

Answer: $\bf 4^3-4^(-6)\implies 4^(3-6)\implies 4^(-3)\n\n-----------------------------\n\nnow\quad recall\implies a^{-{ n}} \implies \cfrac{1}{a^( n)}\qquad \qquad\cfrac{1}{a^( n)}\implies a^{-{ n}}\n\n-----------------------------\n\n4^(-3)\implies \cfrac{1}{4^3}\implies \cfrac{1}{64}$

Answer 2

Answer:

Answer:

1/64

Step-by-step explanation:

i got this on usatestprep.

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Every year Aiden uses income from his job to pay for 80% of his college tuition. Next year’s tuition will be $590 more than this year’s, and Aiden will have to pay $3,064. How much is this year’s tuition? A) $2,474 B) $2,774 C) $2,824 D) $2,924

Answers

The answer is A. $2,474

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

If Jamie has five dollars and purchases a soda for one dollar and fifteen cents, how much change does Jamie get back

Answers

$3.85, because if you subtract $5 from $1.15 that will equals $3.85

230.071 in expanded form

Answers

200+30+0+0.70+0.01

Hope it's right

Answer:

Expanded Notation Form:

200

+ 30

+ 0

+ 0.0

+ 0.07

+ 0.001

Expanded Factors Form:

2 × 100

+ 3 × 10

+ 0 × 1

+ 0 × 0.1

+ 7 × 0.01

+ 1 × 0.001

Expanded Exponential Form:

2 × 102

+ 3 × 101

+ 0 × 100

+ 0 × 10-1

+ 7 × 10-2

+ 1 × 10-3

Word Form:

two hundred thirty and seventy-one thousandths

Step-by-step explanation:

Which is greater, five ones and eight tenths or fifty-eight tenths

Answers

both the fractions 5 ones and 8 tenths and 58/10 are equal

Suppose that the adult population is 4 million, the number of unemployed is 0.25 million, and the labor-force participation rate is 75%. What is the unemployment rate? a. 8.3% b. 18.75% c. 6.25% d. 9.1%

Answers

Answer:

a. 8.3%

Step-by-step explanation:

Unemployment rate is the percentage of unemployed people amongst those who are available for work (labour force participation) not just the entire population.

So firstly we find the people who are available for work from the total population = $(75)/(100) * 4 000 000 = 3 000 000$

Then we find the unemployment rate:

$(number of unemployed people)/(number of people available to work)*100 = (250000)/(3000000)*100 = 8.3%$

Final answer:

The unemployment rate is calculated by dividing the number of unemployed individuals by the total labor force, not the total adult population. In the scenario given, the unemployment rate is 8.3%.

Explanation:

The question asks for the calculation of the unemployment rate given an adult population of 4 million, 0.25 million unemployed, and a labor-force participation rate of 75%. It's essential to note that the unemployment rate is calculated as the number of unemployed people divided by the people in the labor force, not the total adult population.

In this case, considering the labor-force participation rate is 75%, we need to first calculate the total labor force. 75% of the adult population equals 3 million individuals (0.75 * 4 million). After that, the unemployment rate can be calculated by dividing the number of unemployed individuals by the labor force and then multiplied by 100 to get it in percentage terms. This results in (0.25 million / 3 million) * 100 = 8.3%

So, the answer is a. 8.3% is the unemployment rate.