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scoray [572]
3 years ago
10

Use the Distributive Property to write an equivalent 2(9 + 5k)

Mathematics
1 answer:
Svet_ta [14]3 years ago
6 0

Answer:

18+10k

Step-by-step explanation:

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HELP!!!<br> HALP MEEEEEEEE
goldfiish [28.3K]

Answer:

Bryce's unit rate in miles around the track is 3 rate per mile . Now, as we know the formula for speed i.e. So, Bryce's unit rate in miles around the track is 3 rate per mile .

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3 years ago
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In the diagram below, triangle ABC is drawn with altitude BD. If AD = 30 and AC = 36, determine the length of AB rounded to the
denis-greek [22]

9514 1404 393

Answer:

  32.9

Step-by-step explanation:

The ratio of long side to hypotenuse is the same for all of the triangles in the figure.

  AD/AB = AB/AC

  AB^2 = AD·AC = 30·36

  AB = 6√30 ≈ 32.863

To the nearest tenth, AB ≈ 32.9.

5 0
3 years ago
The length of the base of a rectangular prism is given as x + 4, and the width of the base is x +2. The height of the rectangula
lutik1710 [3]

Answer:

  V(x) = (x +4)(x +2)(2x +11)

Step-by-step explanation:

For length L = (x+4), the height is ...

  2L +3 = 2(x+4) +3

  = 2x +8 +3

  = 2x +11

The volume is the product of length, width, and height, so is ...

  V = (x +4)(x +2)(2x +11)

8 0
3 years ago
For which value of x is ABCD a kite?
Anit [1.1K]

Answer:

83

Step-by-step explanation:

x+7+90

x=83

5 0
2 years ago
How can i calculate the growth rate of the values below
Grace [21]

Answer:

  12%

Step-by-step explanation:

The equation for the growth is ...

  f(t) = (initial value)×(growth multiplier per period)^(number of periods)

where the growth multiplier is often expressed as a percentage added to 1:

  multiplier = 1+r

  growth rate = r

__

This equation has two unknowns:

  • initial value
  • growth multiplier

In order to find these, you can make use of two of the supplied data points. I like to choose the ones that are farthest apart, as they tend to average out any errors due to rounding.

Clearly, the table tells you the initial value is 210. If you don't believe, you can put the numbers in the equation to see that:

  f(0) = (initial value)×(growth multiplier)^0

  210 = (initial value)×1

  (initial value) = 210

__

Using the last data point, we get ...

  f(7) = 210×(growth multiplier)^7

  464 = 210×(growth multiplier)^7 . . . . . . . . . fill in table value

  2.209524 = (growth multiplier)^7 . . . . . . .  divide by 210

You can solve this a couple of ways. My calculator is able to take the 7th root, so I can use it to find ...

  \sqrt[7]{2.209524}=\text{(growth multiplier)}\\1.119916\approx \text{(growth multiplier)}

Alternatively, you can use the 1/7 power:

  2.209524^(1/7) = (growth multiplier)

Another way to solve this is to use logarithms:

  log(2.209524) = 7×log(growth multiplier) . . . . . take the log

  log(2.209524)/7 = log(growth multiplier) . . . . . divide by 7

  0.04918553 ≈ log(growth multiplier)

  growth multiplier = 10^0.04918553 ≈ 1.11992 . . . . take the antilog

So, our growth multiplier is ...

  1 + r ≈ 1.11992

  r ≈ .11992 ≈ 12.0%

The rate of growth is about 12% in each period.

_____

Collapsing all of that to a single calculation:

  growth rate = (464/210)^(1/(7-0)) -1 ≈ 12.0%

8 0
3 years ago
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