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11Alexandr11 [23.1K]
3 years ago
10

Write the standard number 393,200 in scientific notation.

Mathematics
1 answer:
liq [111]3 years ago
8 0

3.932 × 10^5

First you want to count how many zeros are in there 2 ok then count the 932 because the 3 hundred thousand is going to stay as a regular digit then when you have a scientific notation you need it to be a power of 10 so ten is always going to be the coefficient for the decimal basically.

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The pair of points (6,y) and (10,-1) lie on a line with a slope 1(over)4. What is the value of y?
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The formula for Slope is m = \frac{y_2 - y_1}{x_2 - x_1} where m is the slope and the x's and y's are your given coordinates. So, plug the given information into the formula and solve for y.

m = \frac{y_2 - y_1}{x_2 - x_1}   Plug in the given values
\frac{1}{4} = \frac{-1 - y}{10 - 6}   Cross multiply
10 - 6 = -4 - 4y   Subtract
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Check your answer by plugging -2 back into the equation with the other values.

[<span>tex] \frac{1}{4} [/tex] = \frac{-1 - (-2)}{10 - 6}   Simplify the double negative
</span><span>\frac{1}{4} = \frac{-1 + 2}{10 - 6}   Simplify the numerator and denominator
</span><span>\frac{1}{4} = \frac{1}{4}
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Since both sides equal each other, y = -2.
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Danny wants to buy a truck in 4 years. He is going to put away $2,500.00 into his savings account that will pay him 6.75% intere
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Answer:

b $3,272.43

Step-by-step explanation:

A = p(1+r/n)^nt

Where

A= future value

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r= interest rate = 6.75% = 0.0675

n = number of periods = 12

t = time = 4 years

A = p(1+r/n)^nt

= 2500(1+0.0675/12)^12*4

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= 2500(1.005625)^48

= 2500(1.3089737859257)

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Approximately

A= $3272.43

He will have $3272.43 to give as down payment in 4 years

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Using the following equation, find the center and radius of the circle. You must show all work and calculations to receive credi
adoni [48]

Answer:

r = 4

The center is:

(2, -4)

Step-by-step explanation:

We have the following equation

x^2 - 4x + y^2 + 8y = -4

The general equation of a circle has the following form

(x-h)^2 + (y-k)^2 = r^2

Where r is the radius and the point (h, k) is the center of the circle

To transform the given equation in the general equation of a circumference we must use the method of square completions

Step 1

(x^2 - 4x) + (y^2 + 8y) = -4

<u>Step 2</u>

<u> </u>Add and subtract (\frac{b}{2})^2 For an equation of the form

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<u>Step 4 Simplify</u>

(x-2)^2 + (y+4)^2= -4+16+4

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Finally

r = 4

The center is:

(2, -4)

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