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Lena [83]
3 years ago
6

If n denotes a number to the left of 0 on the number line such that the square of n is less than 1/100, then the reciprocal of n

must be _______.
A. less than -10B. between -1 and -1/10C. between -1/10 and 0D. between 0 and -1/10E. greater than 10
Mathematics
1 answer:
andriy [413]3 years ago
6 0

Answer: E. Greater than 10

Step-by-step explanation:

First, know that number to the left of a number line are negative and the square of any negative number will be positive and a perfect square.

Since the square of the unknown number is less than 1/100 i.e 0.01 then the possible unknown number 'n' can be -0.01 itself, of which the square of -0.01 will give us 0.0001 (1/10,000) i.e a value less than 0.01.

The reciprocal of 1/10000 is 10,000 which is a value greater than 10.

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What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point
kiruha [24]
This is going to be an long answer, so I'm putting the answer first. y=3x-7

First, you have to find the equation of the line given. You can use point slope form for that. You can see that the slope is -1/3, and it goes through (2,2). So, the equation would be
y-2=-1/3(x-2)
Which simplifies to
y=-1/3x+8/3

Now, we can get on to finding the actual answer. The slope of a line perpendicular would be the negative reciprocal of the original slope. That just means you flip it and multiply it by -1. So, the slope of the new line is 3. Now you can use point slope form again and make an equation, which is
y+1=3(x-2)
Which simplifies to
y=3x-7

Please don't ask me why the slope is the negative reciprocal, or how they came up with the formula for the point slope form. I DON'T KNOW. If you want to know so bad you would give up chick-fil-A for the rest of your life, there's always google.
5 0
3 years ago
Read 2 more answers
If 50 apples cost $25, then 75 apples would cost how much?
NikAS [45]

Answer:

$37.5

Step-by-step explanation:

we can look at this problem using rates:

50=$25

25=$12.5

so we can add $12.5 to $25 because 50+25=75 so our answer, 12.5+25=37.5

$37.5

4 0
2 years ago
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What is 68 less than 5 times a number is equal to the number?
uysha [10]

The number here is will be represented as under -

Let the number be x.

Thus, the 5 times the number will be = 5x.

Now, it says, the number is 68 less than 5 times a number.

The equation so formed will be -

5x - 68 = x

4x = 68

x = 68.

Thus, the number will be 17.

Let us re-check the number,

(5 × 17) - 68 = 17

85 - 68 = 17

<em><u>17 = 17. Thus, the number will be 17.</u></em>

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2 years ago
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Someone plz help me
IRINA_888 [86]

Answer:

Which question do you want us to do?

4 0
2 years ago
Rent-a-car rents compact cars for a fixed amount per day plus a fixed amount for each mile driven Benito rented a car for 6 days
sdas [7]
If charge per day =x
and charge per mile =y

6x + 550y = 337
3x + 350y = 185

multiple the second equation by 2
6x+700y=370
subtract the first equation from this equation
150y=33
y=0.22

Now we plug the y back in to one of the initial equations to get the value of x

3x+350(0.22)=185
x=36

Charge per day is $36 and charge per mile is $0.22
4 0
3 years ago
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