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alukav5142 [94]
3 years ago
12

) On a number line, what is the distance between -5 and -3? Respond in terms of absolute value.

Mathematics
2 answers:
gavmur [86]3 years ago
7 0

Answer:

2

Step-by-step explanation:

There are 2 units of distance separating -5 and -3.

galben [10]3 years ago
5 0
An absolute value of 2 units
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NO LINKS!! Please help me with these notes. Part 1a​
erik [133]

Answers:

When we evaluate a logarithm, we are finding the exponent, or <u>    power   </u>  x, that the  <u>   base   </u> b, needs to be raised so that it equals the <u>  argument   </u> m. The power is also known as the exponent.

5^2 = 25 \to \log_5(25) = 2

The value of b must be <u>   positive    </u> and not equal to <u>   1   </u>

The value of m must be <u>   positive   </u>

If 0 < m < 1, then x < 0

A <u>   logarithmic  </u>    <u>   equation  </u> is an equation with a variable that includes one or more logarithms.

===============================================

Explanation:

Logarithms, or log for short, basically undo what exponents do.

When going from 5^2 = 25 to \log_5(25) = 2, we have isolated the exponent.

More generally, we have b^x = m turn into \log_b(m) = x

When using the change of base formula, notice how

\log_b(m) = \frac{\log(m)}{\log(b)}

If b = 1, then log(b) = log(1) = 0, meaning we have a division by zero error. So this is why b \ne 1

We need b > 0 as well because the domain of y = log(x) is the set of positive real numbers. So this is why m > 0 also.

5 0
2 years ago
Consider the equation q= 4 +0.8p.<br> What value of q would make the equation true when p<br> is 7?
NARA [144]

Answer:

9.6

Step-by-step explanation:

q=4+0.8(7)

6 0
2 years ago
the diameters of Douglas firs grown at a Christmas tree farm are normally distributed with a mean of 4 inches and a standard dev
aksik [14]

Answer:

Proportion of the trees will have diameters between 2 and 6 inches = 0.8164

Step-by-step explanation:

Given -

Mean (\nu )  = 4

Standard deviation (\sigma  ) = 1.5

Let X be the diameter of tree

proportion of the trees will have diameters between 2 and 6 inches =

P(2<  X<  6)   =  P(\frac{2 - 4 }{1.5}< \frac{X - \nu }{\sigma}<  \frac{6 - 4 }{1.5})

                         = P(\frac{-2 }{1.5}< Z<  \frac{2 }{1.5})     Put  [Z = \frac{X - \nu }{\sigma}]

                         =  P(-1.33< Z<  1.33)

                          = (Z<  1.33) - (Z<  -1.33)

                          = .9082 - .0918

                           = 0.8164

6 0
3 years ago
Oakley charged $795 to his credit card last month. What is the first minimum payment he must make? (2 points)$25.00
DaniilM [7]

Answer:

$31.80

Step-by-step explanation:

<u><em>The complete question is</em></u>

Use the details of Oakley's new credit card to answer the question that follows. APR 11.9% compounded monthly Grace Period 28 days Minimum Payment 4% of the remaining balance or $25, whichever is higher Oakley charged $795 to his credit card last month. What is the first minimum payment he must make?

step 1

Find out the 4% of the balance of $795

0.04(795)=\$31.80

so

\$31.80 >\$25

This amount is higher than $25,

therefore

The first minimum payment he must make is $31.80

4 0
2 years ago
The decimal 0.4444 is an example of what kind of number
Slav-nsk [51]
That would be a decimal!
5 0
2 years ago
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