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3 years ago

Round 1.49882 nearest to the nearest given place thousandths

1 answer:

7 0

Okie doke. So, we are rounding this number to the nearest thousandths place, which is three digits behind the decimal. The rules for rounding are if the number is 5 or more in the digit behind it, the number goes up. If it is 4 or less, the number goes back. In other words, we depend on the digit right of the digit we are rounding to in order to see what we do. The number we are rounding is 1.49882. The 8 is in the thousandths place and the 8 is to the right of that, which is the ten thousandths place. Because 8 is greater than 5, the number rounds up. So the number rounded to the nearest thousandth is 1.500.

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Complete the square 2m2−3m=−50

rusak2 [61]

Answer:

Completing the square answer

$\left(m - \frac{3}{4}\right)^2 = - \frac{391}{16}$

Solution set

$m = \frac{3}{4} + \frac{\sqrt[]{391}i}{4} = 0.75 + 4.94343 \, i$

$m = \frac{3}{4} - \frac{\sqrt[]{391}i}{4}$ = $0.75 - 4.94343 \, i$

Step-by-step explanation:

Assuming the question is correctly interpreted as 2m2 = 2m², here is how to proceed

We have $2m^2 - 3m =-50$

Divide by 2 on both sides

$m^2 - \frac{3}{2}m = - 25$

Take half of the coefficient of $x$ and square it

$\left[ - \frac{3}{2} \cdot \frac{1}{2} \right]^2 = \frac{9}{16}$

Add the result to both sides

$m^2 - \frac{3}{2}m + \frac{9}{16} = - 25 + \frac{9}{16}$

$m^2 - \frac{3}{2}m + \frac{9}{16}$ can be re-written as a perfect square

$\left(m - \frac{3}{4}\right)^2$

The RHS becomes

$- 25 + \frac{9}{16} = \frac{(-25)(16) + 9}{9} = \frac{-391}{16}$

Therefore,

$\left(m - \frac{3}{4}\right)^2 = - \frac{391}{16}$

Take the square root of both side

$m - \frac{3}{4} = \pm \sqrt[]{ - \frac{391}{16}}$

Simplify

$m - \frac{3}{4} = \pm \frac{\sqrt[]{391}i}{4}$

Adding $\frac{3}{4}$ both sides

$m = \frac{3}{4} + \frac{\sqrt[]{391}i}{4}$

This gives the two solutions

$m= \frac{3}{4} + \frac{\sqrt[]{391}i}{4}$ and

$m = \frac{3}{4} - \frac{\sqrt[]{391}i}{4}$

which becomes

$m = 0.75 + 4.94343 \, i$ and

$m = 0.75 - 4.94343 \, i$

4 0

8 months ago

The graph shows the relationship between the number of minutes Maria spent jogging on a treadmill and the distance she jogged.

alina1380 [7]

Answer:

0.1 miles per minute

Step-by-step explanation:

The line goes through (0, 0), so Maria's speed is the ratio of miles to minutes:

(4.5 mi)/(45 min) = 0.1 mi/min

4 0

2 years ago

5. Part A: Show another way to find the slope of the line that passes through the points listed in the table. Your way must be d

Digiron [165]

Answer:

The slope-intercept form

y = mx + b

Here m is the slope and b is y-intercept

When b= 0

y = mx

and

m = y/x

In this case Avery's method works

When b≠0

m = (y -b)/x

In this case Avery's method brings wrong outcome

6 0

2 years ago

Read 2 more answers

Banks provide a number of services including all of the following except __________.

olchik [2.2K]

Answer:

A. Payday Lending

Explanation:

Payday Lending is common for small lending companies and not banks. They assist clients who have a minimal amount of salary to borrow a small amount of money with a high interest. The amount of money he can borrow will depend on the amount of salary he receives per month. The client will not be required to give any form of collateral for the borrowed money, thus, the client is said to be high-risk. However, he will have to return the money over a short period of time with an interest rate that is high. Though it is easy to get a loan with this kind of service, you have to make sure that you are employed.

Banks prefer to offer loans to people who have a steady income and a certain amount of salary. 

7 0

2 years ago

Which expression is equivalent to y x 48?

Nostrana [21]

Answer: (y*40)+(y*8)

Step-by-step explanation:

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1 year ago