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andriy [413]
3 years ago
14

Evaluate the given expression if k=-845|k+10|-|4k|. BRAINLIEST!!

Mathematics
1 answer:
garri49 [273]3 years ago
3 0
The answer is -2 simplified
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Angle BAC measures 56. What is the measure of angle BDC?
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Answer: Like the angles BAC (56°) and BDC has the same arc BC in the circumference, these angles must be congruent, then angle BDC must be equal to 56°.

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When do you need to use two number lines to compare two fractions
OLEGan [10]
Depends on the fraction to determine your answer
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Tom's weight = 500 pounds
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Answer:

88% of his weight remains

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2 years ago
A table titled Number of Dogs Adopted has entries 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9. The total is 13
saw5 [17]

Answer:

1) Mean = 6.28

2) Median = 7

3) Mode = 8

4) Range = 6

Step-by-step explanation:

We need to find Mean, Median, Mode and Range of data given in tables.

1) Mean

The formula used to calculate mean is: Mean=\frac{Sum\:of\:all\:data\:points}{Number\:of\:data\:points}

The data given is: 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9

Sum of all data points = 132

Number of data points = 21

Finding mean:

Mean=\frac{Sum\:of\:all\:data\:points}{Number\:of\:data\:points}\\Mean=\frac{132}{21}\\Mean=6.28

So, Mean = 6.28

2) Median

The formula used to calculate median is: Median=\frac{n+1}{2}\:th\: term because we have n = odd

Number of data points n = 21

Putting values and finding the position of median term

Median=\frac{n+1}{2}\:th\: term\\Median=\frac{21+1}{2}\:th\: term\\Median=\frac{22}{2}\:th\: term\\Median=11\:th\:term

So, in the given data : 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9

The 11 th term is 7

So, Median = 7

3) Mode

The mode is the most repetitive value of data set.

In the given data set: 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9

The most repetitive value is 8

So, Mode = 8

4) Range

The range can be calculated using formula: Range=Maximum\:Value-Minimum\:Value

In the given data set: 3, 3, 4, 4, 4, 5, 5, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 9, 9

Maximum value = 9

Minimum value = 3

So, the range is:

Range=Maximum\:Value-Minimum\:Value\\Range=9-3\\Range =6

So, Range = 6

3 0
3 years ago
Read 2 more answers
Solve the system <br> -2y+5z=-3<br> y=-5x-4z-5<br> x=4z+4
kow [346]
-2y + 5z = -3
y = -5x - 4z - 5
x = 4z + 4

-2(-5(4z + 4) - 4z - 5) + 5z = -3
-2(-20z - 20 - 4z - 5) + 5z = -3
-2(-20z - 4z - 20 - 5) + 5z = -3
                    -2(-24z - 25) = -3
                          48z + 50 = -3
                          <u>       - 50  - 50</u>
                                 <u>48z</u> = <u>-53</u>
                                  48      48
                                     z = -1⁵/₄₈
x = 4(-1⁵/₄₈) + 4
x = -4⁵/₁₂ + 4
x = ⁵/₁₂

y = -5(⁵/₁₂) - 4(-1⁵/₄₈) - 5
y = -2¹/₂ + 4⁵/₁₂ - 5
y = 1¹¹/₁₂ - 5
y = -3¹/₂

(x, y, z) = (⁵/₁₂, -3¹/₂, -1⁵/₄₈)
6 0
3 years ago
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