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maksim [4K]
2 years ago
13

Simplify: {(-8)^-4 ÷ 2^-8}^2

Mathematics
2 answers:
Aleksandr-060686 [28]2 years ago
8 0

Answer:

ok so first we have to do whats in the brackets then we have to do to exponits so first

(-0.00024414062divided by 0.00390625)^2

-0.06249999872^2

-0.00390624984

Hope This Helps!!!

ASHA 777 [7]2 years ago
4 0

Step-by-step explanation:

{( - 8}^{4}  \div {2}^{ - 8})^{2}  \\  \ \\ ( {2}^{12}  \div  {2}^{ - 8} 2 \\  \\ ( {2}^{20} \: )^{2}  \\  \\  {2}^{40}

<u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u><u> </u> OR

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What is the height of a rectangular prism that has a volume of 280 cubic meters,a length of 8 meters, and a width of 7 meters? S
lyudmila [28]
When looking at a rectangular prism, we know that Volume = length * width * height

If we are given that the volume of the prism is 280 cubic meters (m^3), the length is 8 meters, and the width is 7 meters, we can fill in our equation.

280 = 8 * 7 * height
280 = 56 * height

Because we are solving for the height, we divide both sides by 56

280/56 = height

height = 5 meters

8 0
4 years ago
Jamie invests $1,200 in an account that earns 3% interest. Assuming continuous compounding, how much is in his account after 7 y
goblinko [34]

Answer:

The amount in account after 7 years of investment is $1478.4

Step-by-step explanation:

Given as :

The principal invested in account by Jamie = p = $1200

The rate of interest = r = 3% compounded annually

The Time period of investment = t=  7 years

Let The Amount in Jamie account = $ A

<u>For continuous compounding</u>

Amount = Principal × e^{r \times time}

Or, A = p × e^{r \times time}

Or, A = $1200 × e^{0.03 \times 7}

Or, A = $1200 × 2.71^{0.03 \times 7}

Or, A = $1200 × 1.232

∴  A = $1478.4

So, The amount after continuous compounding = A = $1478.4

Hence , The amount in account after 7 years of investment is $1478.4    Answer

5 0
4 years ago
The sweater department ran a sale last week and sold 95% of the sweaters that were on sale. 38 sweaters were sold. How many swea
almond37 [142]

Answer: 40.

Step-by-step explanation:

Given : The sweater department ran a sale last week and sold 95% of the sweaters that were on sale.

95% can be written as 0.95  [ by dividing 100 ]

Also, the number of sweaters sold = 38

Let x be the number of sweaters were on sale.

Then , we have the following equation :_

0.95x=38\\\\\Rightarrow\ x=\dfrac{38}{0.95}=\dfrac{3800}{95}=40

Hence, 40 sweaters were on sale.

6 0
4 years ago
Solve for the unknown variable. 3^x=(1/3)^x+3
BabaBlast [244]

The equation is undefined where the denominator equals 0, the argument of an even indexed radical is less than 0, or the argument of a logarithm is less than or equal to 0.

Defined on all real numbers

3 0
3 years ago
Read 2 more answers
Software to detect fraud in consumer phone cards tracks the number of metropolitan areas where calls originate each day. It is f
DIA [1.3K]

Answer:

the probability that the user is fraudulent is 0.00299133

Step-by-step explanation:

Let be the events be:

G: The user generates calls from two or more areas.

NG: The user does NOT generate calls from two or more areas.

L: The user is legitimate.

F: The user is fraudulent.

The probabilities established in the statement are:

P (G | L) = 0.01//P (G | F) = 0.30//P (F) = 0.0001//P (L) = 0.9999//

With these values, the probability that a user is fraudulent, if it has originated calls from two or more areas is:

P (F|G) = \frac{P(F\bigcap G)}{P(G)} = \frac{P(F)P(G|F)}{P(G)} = \frac{P(F)P(G|F)}{P(F)P(G|F)+P(L)P(G|L)}

\frac{(0.0001)(0.30)}{(0.0001)(0.30)+(0.9999)(0.01)} = 0.00299133

4 0
3 years ago
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