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Paladinen [302]
2 years ago
9

What is 0.514 written as a power of 10? 514 x 102 514 x 103 514 x 10-3

Mathematics
2 answers:
vovikov84 [41]2 years ago
8 0
0\underbrace{.514}_{3\to}=514\cdot10^{-3}
nika2105 [10]2 years ago
8 0

Answer:

=514\times10^{-3}

Step-by-step explanation:

The given number which needs to be written in power of 10 is 0.514

There are three digits after the decimal point. Hence, when we eliminate decimal, we need to divide the number by 1000

0.514=\frac{514}{1000}

Now, we can write 1000=10^3

=\frac{514}{10^3}

Now, we can use the exponent rule \frac{1}{x^a}=x^{-a}

=514\times10^{-3}

Thus, the number as a power of 10 is

=514\times10^{-3}

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The parabola y=x^2y=x 2 y, equals, x, start superscript, 2, end superscript is reflected across the xxx-axis and then scaled ver
kramer

ANSWER

The equation of the new parabola is

y =  - 5 {x}^{2}

EXPLANATION

The given parabola has equation:

y =  {x}^{2}

If this parabola is reflected in the x-axis, its equation becomes :

y =  -  {x}^{2}

When this parabola is scaled vertically by a factor of 5, the equation becomes,

y =  - 5 {x}^{2}

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2 years ago
Interpret the graph to determine the statement the manager at a building supply store can use to help a customer determine how m
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Answer:

Each gallon of primer will cover a maximum of 200 square feet

Step-by-step explanation:

The x-axis of the graph is the area to paint in square feet.  The y-axis of the graph is the number of gallons of primer needed.

We can see that 1 gallon of primer covers from 0 to 200 feet; 2 gallons of primer covers from 200 to 400 feet; etc.

This tells us that each gallon of primer covers a maximum of 200 square feet.

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2 years ago
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One year ago, Lindsey deposited $250 into a savings account. Her balance is now $253. Two years ago, Jenn deposited $250 into a
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Answer:

Jenn simple interest was 1.5% annually making Jenns account have the highest interest rate.

Step-by-step explanation:

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Based on the information below, choose the correct answer.
Arte-miy333 [17]
The dollar amount of each monthly payment is interest
7,865.87÷120=65.55

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(7,865.87÷27,865.87)×100=28.2%
5 0
2 years ago
Find the 4th term (x-y)^12
maria [59]

Answer:

The fourth term of the expansion is -220 * x^9 * y^3

Step-by-step explanation:

Question:

Find the fourth term in (x-y)^12

Solution:

Notation: "n choose k", or combination of k objects from n objects,

C(n,k) = n! / ( k! (n-k)! )

For example, C(12,4) = 12! / (4! 8!) = 495

Using the binomial expansion formula

(a+b)^n

= C(n,0)a^n + C(n,1)a^(n-1)b + C(n,2)a^(n-2)b^2 + C(n,3)a^(n-3)b^3 + C(n,4)a^(n-4)b^4 +....+C(n,n)b^n

For (x-y)^12, n=12, k=3, a=x, b=-y, and the fourth term is

C(n,3)a^(n-3)b^3

=C(12,3) * x^(12-3) * (-y)^(3)

= 220*x^9*(-y)^3

= -220 * x^9 * y^3

3 0
2 years ago
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