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Drupady [299]
3 years ago
12

What is the slope of the line through (11, 10) and (12, 5)?

Mathematics
1 answer:
Vanyuwa [196]3 years ago
6 0

The answer is -5, use rise over run.

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Part B.<br> What is the volume of each cubic block?
monitta

Answer:

1 / 36 ft³

Step-by-step explanation:

Length = 1/2 ft

Width = 1/6 ft

Height = 1/3 ft

The volume of the tank can be obtained using the relation :

Volume = Length * width * height

Volume = (1/2 * 1/6 * 1/3) ft³

Volume = 1 / 36 ft³

6 0
3 years ago
A company provides a monthly pension to its employees. A person retiring at 62 retires and receives a full monthly pension. If t
IRISSAK [1]

Answer:

  • <em><u>The reduction is 8.6%</u></em>

Explanation:

Call F the full monthly pension of a person retiring at 62.

If a person continues to work the pension grows at a rate of 6% per year, compounded monthly, so use the compounded growing formula:

  • Pension=F(1+r/12)^{12t}

Where r = 6 / 100 = 0.06, and t = number of years after retirement.

<u>For retirement at 65.5</u>:

  • t = 65.5 - 62 = 3.5

  • Pension=F(1+0.06/12)^{12\times 3.5}=1.233F

<u>For retirement at 67</u>:

  • t = 67 - 62 = 5

  • Pension=F(1+0.06/12)^{12\times 5}=1.349F

<u>Percent reduction of people who retire at 65.5 compared to what they would receive at 67</u>:

  • (1.349F-1.233F)\times 100/(1.349F)=8.6\%
8 0
3 years ago
Draw the image of the following segment after a dilation centered at the origin with a scale factor of 2/3
Irina18 [472]

Answer:

Step-by-step explanation:

Let the ends of the given segment are A and B.

Coordinates of A → (8, 6)

Coordinates of B → (12, 12)

If a point (x, y) is dilated by a scale factor 'k' about the origin, rule to be followed,

(x, y) → (kx, ky)

If k = \frac{2}{3}

(x, y) → (\frac{2}{3}x, \frac{2}{3}y)

By this rule coordinates of the image points of A and B will be,

A(8, 6) → A'(\frac{2\times 8}{3},\frac{2\times 6}{3})

           → A'(5.3, 4)

B(12, 12) → B'(\frac{12\times 2}{3}, \frac{12\times 2}{3})

             → B'(8, 8)

Now we can get the image of segment AB after dilation by a scale factor of \frac{2}{3}.

5 0
2 years ago
WHEN ADDING THE NUMBERS 5.7 + 2.31 EXPLAIN HOW YOU WOULD LINE UP THE NUMBERS VERTICALLY ONE ON TOP OF THE OTHER.IN ORDER TO SLOV
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4 0
3 years ago
At Cindy’s birthday each guest will get two-third of a medium sized pizza. There will be 9 people at the party, including Cindy.
Ipatiy [6.2K]

Answer:

6

Step-by-step explanation:

9 x 2/3 = 6

8 0
2 years ago
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