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lesantik [10]
3 years ago
9

If f(1) = 1 and f(n) = 3f(n − 1) then find the value of f (6).​

Mathematics
1 answer:
Mice21 [21]3 years ago
4 0

Answer:

1

Step-by-step explanation:

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What is the equation of a vertical ellipse with a major axis= 20 and a minor axis = 14?​
Sunny_sXe [5.5K]

\bold{\text{Answer:  b.}\quad \dfrac{y^2}{100}+\dfrac{x^2}{49}=1}

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

The ellipse is vertical so y has the biggest radius.

Major axis (y) = 20 so the y-radius is 20/2 = 10

Minor axis (x) = 14 so the x-radius is 14/2 = 7

The equation of an ellipse is:   \dfrac{(x-h)^2}{a^2}+\dfrac{(y-k)^2}{b^2}=1   where

  • (h, k) is the center of the ellipse
  • a is the x-radius
  • b is the y-radius

Given: a = 7, b = 10

Assume: (h, k) = (0, 0)

\dfrac{(x-0)^2}{7^2}+\dfrac{(y-0)^2}{10^2}=1\\\\\\\dfrac{x^2}{49}+\dfrac{y^2}{100}=1\\\\\\\longrightarrow \dfrac{y^2}{100}+\dfrac{x^2}{49}=1

6 0
2 years ago
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KengaRu [80]

Answer: There’s a .35 % chance that the marble will be green. When drawing all 3, the chance is .04%

Step-by-step explanation:

8 0
3 years ago
PLEASE HELP ME FAST! IF GIVEN GOOD ANSWERS WILL MARK AS BRAINLIEST!
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Answer:

Step-by-step explanation:

1. Given that the local ice cream shop is deciding whether or not to hire a new worker. The shop must pay the worker hourly and cover a daily cost for insurance. The cost to pay an hourly worker for one day is represented by the function y=10x+30 where x=hours.

We find that this is of the form y = mx + B where

m = 10 and B = 30

Hence slope = m = 10

Answer is 10,

and it represents the rate of change of y for a unit change in x.

2. The answer is the third option "No; the data doesn't suggest a causation, and many people are healthy who don't exercise." Correlation is two data set that are linked or connected together so in this case it would be a correlation because all of the data is close and connected to each other.

3. The answer is "Correlation, because time of day doesn't cause a person to run faster or slower ".

That's the correct answer because causation would mean there is a cause and effect and in the question, there is no cause. It can't be the last one because there is enough information. It also can't be the third one because there is a relationship since he shown he runs faster in the evening. Also I took the test and it was right!

4 0
3 years ago
Find the solution of this system of equations.
german
16+ 44 so I =60 hdndmoaoaoajebdbvdjjssksk
8 0
3 years ago
Area of a regular hexagon with an apothem of 15 cm
Anton [14]

Answer:

area = 779.4 cm²

Step-by-step explanation:

divide it into 6 equal equilateral triangles. Each corner of a triangle will be 60°.

tan 60° = 15/x

1.7321 = 15/x

x = 8.66 (this is one-half of the base of the triangle)

base = 17.32 cm

area of one triangle = 1/2(17.32)(15) = 129.9 cm²

129.9(6) = 779.4 cm²   (because 6 triangles make up the hexagon)

8 0
2 years ago
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