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lina2011 [118]
3 years ago
9

Evaluate the logarithm log(5)1 (5) is base

Mathematics
1 answer:
marta [7]3 years ago
8 0
Answer: 0

log (5) 1
log b n = e
b^e = n
5^x = 1
x = 0
5^0 = 1 (any number to the power of 0 equals 1)
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the diameter of a piston for an automobile is 3 11/16in with tolerence of 1/64in. find the upper and lower limits of the pistons
padilas [110]

Upper Tolerance

Remark

The 11/16 is the only thing that will be affected. The three won't go up or down when we add 1/64 so we should just work with the 11/16. We need only add 11/16 and 1/64 together to see what the upper range is. Later on we can add 3 into the mix.

Solution

<u>Upper Limit</u>

\dfrac{11}{16} +  \dfrac{1}{64}

Now change the 11/16 into 64. Multiply numerator and denominator or 11/16 by 4

\dfrac{11*4}{16*4} +  \dfrac{1}{64}

\dfrac{11*4}{16*4} +  \dfrac{1}{64} Which results in

\dfrac{44}{64} +  \dfrac{1}{64}

With a final result for the fractions of 45/64

So the upper tolerance = 3 45/64

<u>Lower Tolerance</u>

Just follow the same steps as you did for the upper tolerance except you subtract 1/64 like this.

\dfrac{11}{16} - \dfrac{1}{64}

Your answer should be 3 and 43/64


4 0
3 years ago
Identify the hypothesis and conclusion of this conditional statement: If two lines intersect at right angles, then the two lines
Sedaia [141]

Answer: b

<u>Step-by-step explanation:</u>

NOTE:

  • Hypothesis: "if" part of the sentence
  • Conclusion: "then" part of the sentence

hypothesis : If <u>two lines intersect at right angles</u>

conclusion: then <u>the two lines are perpendicular</u>

6 0
3 years ago
NEED HELP ASAP!!! What is the interquartile range of the data set? Enter the answer in the box. Key: 1|5 means 15 A stem-and-lea
monitta
To find the interquartile range, you will list the data that is presented in the stem and leaf plot.

Find the median of the data (30.5)

Find the median of the lower half and the median of the upper half.

Subtract these two values.

The data are <u>20</u>, 25, 30, 30, 31, 40, 41, <u>49</u>.
                            27.5                40.5
40.5-27.5 = 13

The interquartile range is 13.
3 0
3 years ago
Read 2 more answers
What is AB? in the right triangle shown, AC = BC = 2
saul85 [17]

Answer:

2.83

Step-by-step explanation:

using the pythagorean theorem, AB=\sqrt{AC^2+BC^2}=\sqrt{2^2+2^2}≈2.83

6 0
3 years ago
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Solve the following probability problem. Give the answer in a
Lesechka [4]

Step-by-step explanation:

The probability of not selecting green or yellow marble is equal to the probability of selecting red and blue marble

n(S) =17

n(A)=5 (red)

n(B)=6 (blue)

answer is 5+6/17

=11/17

8 0
3 years ago
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