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Artyom0805 [142]
3 years ago
15

5?10 5 5, dot, 10, start superscript, 5, end superscript is how many times as large as 1\cdot10^51?10 5 1, dot, 10, start supers

cript, 5, end superscript?
Mathematics
1 answer:
max2010maxim [7]3 years ago
4 0

Answer:

  5 times as large

Step-by-step explanation:

The ratio of the two numbers tells you how many times as large one is as the other:

\dfrac{5\cdot 10^5}{1\cdot 10^5}=\dfrac{5}{1}\cdot\dfrac{10^5}{10^5}=5

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Answer: 9m^{2}

Step-by-step explanation:

3m × 3m = 9m

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A fence on a hill uses vertical posts L and M to hold parallel rails N and P. If m∠1 = 115, then what is the measure of ∠16?
kiruha [24]

Step-by-step explanation:

Given information:

A fence on a hill uses vertical posts L and M to hold parallel rails N and P

The diagram is attached below

Here lines N  and P are parallel lines

Transversal line for parallel lines N  and P is line L

Calculation:

angle 1  and angle 16 are consecutive exterior angles

If parallel lines are cut by a transversal then consecutive exterior angles are supplementary

So measurement of angle 16 = 65 degrees

4 0
3 years ago
20. Sofia paid $11.80 for a pen, a marker, and a binder. The marker cost $0.80 more than the pen. The binder cost 4 times as muc
7nadin3 [17]

Answer:

$1.30

Step-by-step explanation:

Let x = the cost of the pencil

Let x + .80 = the cost of the pen

Let 4(x + .80) = the cost of the binder

x + x + .80 + 4(x + .80) = 11.80

2x + .80 + 4x + 3.20 = 11.80

6x + 4.00 = 11.80

6x = 7.80

x = $1.30

x + .80 = $2.10

4(x + .80) = $8.40

7 0
1 year ago
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An investment made in the stock market decreased at a rate of 2.2% per year for 10 years. What is the current value of
never [62]

Answer:

$800,500 (nearest dollar)

Step-by-step explanation:

The given scenario can be modeled as an <u>exponential equation</u>.

<u>General form of an exponential function</u>:

 f(x)=ab^x

where:

  • a is the initial value (y-intercept)
  • b is the base (growth/decay factor) in decimal form
  • x is the independent variable
  • y is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

The initial value (a) is the value of the investment.

Therefore, a = 1,000,000.

If the investment <u>decreases</u> by 2.2% each year, then it will be 97.8% of the previous year.

Therefore, b = 97.8% = 0.978.

Substitute these values into the formula to create a general equation for the scenario:

f(x)=1000000(0.978)^x

(where x is the time, in years).

To find the value of the investment after 10 years, substitute x = 10 into the formula:

\implies f(10)=1000000(0.978)^{10}=800500.1586

Therefore, the value of the investment after 10 years is $800,500 (nearest dollar).

Learn more about exponential functions here:

brainly.com/question/27949445

brainly.com/question/27955470

3 0
1 year ago
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