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Nina [5.8K]
2 years ago
10

Question 3 (2 points)

Mathematics
1 answer:
vlada-n [284]2 years ago
8 0
Area = 314.16

circumference = 62.83
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Out of 1,100 discs tested, 13 are defective. Estimate the number of defective discs in a batch of 41,000.
Luba_88 [7]
13/1,100 = x/ 41,000 (in English, this reads 13 out of 1,100 equals x out of 41,000) * by 41,000 and you get 41,000 x 13/1,100 = x
which is about 485

8 0
3 years ago
F(x) =?. Vertex is (2,-4) the other given point is (1,-2)
dalvyx [7]
Given the vertex, (2, -4) as the minimum point, and that it is an upward-facing parabola that passes point (1, -2):

We could substitute these values into the vertex form of the quadratic function,

f(x) = a(x - h)^2 + k

where:

(h,k) is the vertex

The axis of symmetry is the vertical line x = 2

The value of “a” determines whether the graph opens up or down, and makes the parent function wider or narrower.

The value of “h” determines how far left or right the parent function is translated.

The value of “k” determines how far up or down the parent function is translated.


Now that we’ve established these definitions, we can substitute the given values into the vertex form:

f(x) = a(x - 2)^2 - 4

In order to determine the value of “a”, we must substitute the values of the other given point, (1, -2) into the equation:

f(x) = a(x - 2)^2 - 4

-2 = a(1 - 2)^2 - 4

-2 = a(-1)^2 - 4
-2 = a - 4

Add 4 to both sides to solve for “a”

-2 + 4 = a - 4 + 4
2 = a

Now that we have the value of a = 2, we can establish our quadratic function in vertex form:

f(x) = 2(x - 2)^2 - 4


I’m also including a screenshot of the graph of the function we came up with.


Please mark my answers as the Brainliest if you find my explanations helpful :)

5 0
3 years ago
Which of the following predictions is most likely true
Sunny_sXe [5.5K]
Your answer is D because 10*2 is 20 and 6*2 is 12 so 12 out of the next 20 customers will purchase a sandwich.
5 0
3 years ago
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Find the final amount for a $1000 investment at 6% interest compounded continuously for 20 years
yarga [219]

Answer:$3207

Step-by-step explanation

A=p(1+r/100)^n

A=1000×(1+6/100)^20

A=1000×(1.06)^20

A=1000×3.207

A=$3207

3 0
3 years ago
Cynthia ran 4 laps in 40 min.   What is the rate of number of laps to minutes?
fomenos
1 lap to ten minutes or 1:10 due to the fact that it takes ten minutes to run one lap. hope this helps, have a nice day :)
7 0
3 years ago
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