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Troyanec [42]
3 years ago
8

Can someone help me figure this out?

Mathematics
1 answer:
Lyrx [107]3 years ago
3 0

Answer:


Step-by-step explanation:

Let's look at what 10^100 and 100^10 are as numbers without exponents.

Ten raised to a positive integer exponent is a 1 followed by the number of zeros the exponent tells you. For example, 10^2 is 100, or 1 followed by 2 zeros, just like the exponent 2 tells you. 10^5 is 1 followed by 5 zeros, or 100,000. A googol is 10^100 which is a 1 followed by 100 zeros.

Let's use rules of exponents to understand what 100^10 is.

100^10 = (10^2)^10

To raise a power to a power, multiply powers.

100^10 = (10^2)^10 = 10^20

We know what 10^20 means. It is a 1 followed by 20 zeros.

A googol, 10^100, is a 1 followed by 100 zeros.

100^10 is the same as 10^20 or 1 followed by 20 zeros.

A googol is much, much greater than 100^10.

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The figure shows the dimensions of a metal sign. The shaded part of the sign is painted blue.
Sonja [21]

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

we have here 2 triangles : the larger, outer shaded one, and the smaller, inner white one.

to get the area of the shaded part, we need to calculate the area of the large triangle and subtract the area of the smaller triangle.

large area :

12 × 15 / 2 = 6 × 15 = 90 ft²

small area :

8 × 10 / 2 = 4 × 10 = 40 ft²

the shaded area is

90 - 40 = 50 ft²

4 0
2 years ago
given the equation y-5=5x determine whether the points (2,12) and (-2,-5) are a solution on the graph
Flura [38]
(x,y)
sub points to see if we get true statemtn

(2,12)
x=2 and y=12

12-5=5(2)
7=10
false
no, (2,12) is not a point


(-2,-5)
x=-2
y=-5

-5-5=5(-2)
-10=-10
true
(-2,-5) is a soltuion

(-2,-5) is the only solution given that works
6 0
3 years ago
Productivity: My candy bar company made 100 million bars last year, sold for $1 each. I also paid [L] people last year, with an
Murljashka [212]

Answer:

5

Step-by-step explanation:

Productivity: My candy bar company made 100 million bars last year, sold for $1 each. I also paid [L] people last year, with an average salary of $100K last year. I have overhead cost of $10M. What was my TOTAL productivity (no units, rounded to 2 decimal places)?

Solution:

Total productivity is the average of labour and capital productivity weighted and adjusted to price fluctuations. It is the ratio of total output to the total input. The total productivity is given by the formula:

Total productivity = total output / total input

Total output = Revenue = number of bars sold * price per bar

Total output = 100 million * $1 = $100 million

Total input = Total salary + overhead cost

Total salary = number of people * average salary = 100 *$100000 = $10 million

overhead cost = $10 million

Total input = $10 million + $10 million = $20 million

Total productivity = total output / total input = $100 million / $20 million

Total productivity = 5

7 0
2 years ago
Harrison and Sherrie are making decisions about their bank accounts. Harrison wants to deposit $200 as a principle amount, with
DedPeter [7]

Answer:

Harrison earns: $208.14

Sherrie earns: $216.57

Step-by-step explanation:

Sherrie earns more money than Harrison in 2 years.

5 0
2 years ago
A quality control expert at Glotech computers wants to test their new monitors. The production manager claims they have a mean l
Mariana [72]

Answer:

Step-by-step explanation:

Hello!

X: the lifespan of a new computer monitor of Glotech.

The average life is μ= 85 months and the variance δ²= 64

And a sample of 122 monitors was taken.

You need to calculate the probability that the sample mean is greater than 86.6 months.

Assuming that the variable has a normal distribution X~N(μ;δ²), then the distribution of the sample mean is X[bar]~N(μ;δ²/n)

To calculate this probability you have to work using the sampling distribution and the following formula Z= (X[bar]-μ)/δ/√n ~N(0;1)

P(X[bar]>86.6)= 1 - P(X[bar]≤86.6)

1 - P(Z≤(86.6-85)/(8/√122))= 1 - P(Z≤2.21)= 1 - 0.98645= 0.013355

The probability of the sample mean is greater than 0.013355

I hope this helps!

7 0
3 years ago
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