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harina [27]
3 years ago
10

Let log P/N=8 and log M/N=5 What is the relationship between P and M?

Mathematics
1 answer:
Radda [10]3 years ago
8 0
Want to use some of the algebra rules of log's:

log(a)-log(b)= log(a/b),

so log(P/N) - log(M/N) = log( P/N:M/N) = log(P/M),

Then: 8-5 = log(P/M), log(P/M)=3.

If log here means natural logarithm (base e), then P/M = e^3,

If log here means basis 10, decimal logarithm, then P/M = 10^3 = 1000.
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The answer is 180cubic2 (square)
7 0
3 years ago
Help me I need help I need help
Licemer1 [7]

Answer:

\Huge\boxed{131.88}

Step-by-step explanation:

Hello There!

First thing we want to do is find the formula for circumference of a circle

C = 2(3.14)r

where r = radius

we are given the diameter so we have to convert that into radius to do so we just divide by 2

42/2=21 so the radius equals 21 inches

now we just plug in 21 for r in the formula

C = 2(3.14)21\\2*3.14=6.28\\6.28*21=131.88\\C=131.88

So we can conclude that the circumference of the circle is 131.88 inches

3 0
2 years ago
The table includes points on a quadratic function used to model the shape of a hole for one support beam at a new building site.
erastovalidia [21]

The hole is 8 feet deep at ground level ⇒ 3rd answer

Step-by-step explanation:

The form of the quadratic function is y = ax² + bx + c, where

  • a is the coefficient of x²
  • b is the coefficient of x
  • c is the y-intercept (at x = 0)

The vertex point of the quadratic is (h , k), where h=\frac{-b}{2a}

and k is the value of y when x = h

The table:

→  x  :  -2   ,  0  ,  2

→  y  :  -6   , -8  ,  -6

∵ x represents distance from hole's center in feet

∵ y represents the depth from level ground

∴ The quadratic function is y = ax² + bx + c

∵ c is the value of y at x = 0 ⇒ y-intercept

- From the table at x = 0 ⇒ y = -8

∴ c = -8

- Substitute its value in the function model

∴ y = ax² + bx - 8

- To find the values of a and b substitute x and y in the model by

   the coordinates of the point in the table

∵ x = -2 and y = -6

∴ -6 = a(-2)² + b(-2) - 8

∴ -6 = 4a - 2b - 8

- Add 8 to both sides

∴ 2 = 4a - 2b

- Switch the two sides

∴ 4a - 2b = 2 ⇒ (1)

∵ x = 2 and y = -6

∴ -6 = a(2)² + b(2) - 8

∴ -6 = 4a + 2b - 8

- Add 8 to both sides

∴ 2 = 4a + 2b

- Switch the two sides

∴ 4a + 2b = 2 ⇒ (2)

Now we have a system of equation to solve it

Add equations(1) and (2) to eliminate b

∵ 8a = 4

- Divide both sides by 8

∴ a = 0.5

- Substitute value of a in equation (1) or to to find b

∵ 4(0.5) + 2b = 2

∴ 2 + 2b = 2

- Subtract 2 from both sides

∴ 2b = 0

- Divide both sides by 2

∴ b = 0

Substitute the values of a and b in the function model

∴ y = 0.5x² + (0)x - 8

∴ y = 0.5x² - 8

∵ y represents the depth from level ground

∵ The vertex of the function model is (h , k)

∴ The deep of the hole at ground level is the value of k

∵ h=\frac{-b}{2a}

∴ h=\frac{-(0)}{2(0.5)}

∴ h = 0

∵ k is the value of y when x = h

- From the table at x = 0 ⇒ y = -8

∴ k = -8

- Ignore the sign (-) because the k represents the depth of the

  hole in feet

∴ The deep of the hole at ground level is 8 feet

The hole is 8 feet deep at ground level

Learn more:

You can learn more about the quadratic function in brainly.com/question/1332667

#LearnwithBrainly

4 0
3 years ago
Find the interest due on &1,400 at 9% for 270 days
Dimas [21]
Answer:
Interest = $93.205

Explanation:
Interest can be calculated as follows:
I = Prt
where:
I is the interest we want to canlculate
P is the principle amount = $1400
r is the interest rate in decimal = 9% = 0.09
t is the time in years = 270/365

Substitute with the givens in the above equation to get the value of the interest as follows:
I = 1400 * 0.09 * (270/365)
I = $93.205

Hope this helps :)
6 0
3 years ago
Stephanie can type around 70 words per minute. She has less than a week to type her final research paper. If the paper has to be
svetlana [45]
350*15 is 5250. That is the total words needed to reach her assignment paper goal. Since there are 60 minutes in an hour we would need to figure out how many words she can type per hour. 60*70 is 4200. Then we divide 5250 by 4200. We get 1.25. Soooo our final answer would be 1 hour and 15 minutes need to be set aside to type her assignment. I really hope this is correct it makes sense to me. If not i am truly sorry.
8 0
3 years ago
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