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Marysya12 [62]
3 years ago
10

If π is rounded to a whole number, what is a reasonable estimate for the circumference of a circle with a diameter of 9 cm?

Mathematics
1 answer:
mel-nik [20]3 years ago
8 0
Pi rounded to a whole number would equal three. Circumference equals 2pi*r. The radius in this case is half of the diameter, so 4.5 cm. 2 times pi, or three equals 6 times 4.5 is 27
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F(x) = 4x^2 - 3x + 2kx + 1 
dybincka [34]
f(x)=4x^2-3x+2kx+1=4x^2+(2k-3)x+1\\\\a=4;\ b=2k-3;\ c=1\\\\function\ has\ two\ zeros\ when\ \Delta=b^2-4ac > 0\\\\\Delta=(2k-3)^2-4\cdot4\cdot1=4k^2-12k+9-16=4k^2-12k-7 > 0\\\\a_k=4;\ b_k=-12;\ c_k=-7\\\\\Delta_k=(-12)^2-4\cdot4\cdot(-7)=144+112=256\\\\k_1=\frac{-b_k-\sqrt{\Delta_k}}{2a_k};\ k_2=\frac{-b_k+\sqrt{\Delta_k}}{2a_k}

\sqrt{\Delta_k}=\sqrt{256}=16\\\\k_1=\frac{12-16}{2\cdot4}=\frac{-4}{8}=-\frac{1}{2};\ k_2=\frac{12+16}{2\cdot4}=\frac{28}{8}=\frac{7}{2}\\\\a_k=4 > 0\ (up\ parabola\ arms-see\ the\ picture)\\\\Answer:k\in(-\infty;-\frac{1}{2})\ \cup\ (\frac{7}{2};\ \infty)

6 0
3 years ago
3v+4(v-2)= -29 solve for v​
Lesechka [4]

Answer:

v = -3

Step-by-step explanation:

1) Expand.

3v + 4v - 8 = -29

2) Simplify 3v + 4v - 8 to 7v - 8.

7v - 8 = -29

3) Add 8 to both sides.

7v = -29 + 8

4) Simplify -29 + 8 to -21.

7v = -21

5) Divide both sides by 7.

v = -21/7

6) Simplify 21/7 to 3.

v = -3

4 0
2 years ago
About 2% of children in the United States are allergic to peanuts. Choose three children at random and let the random variable X
VMariaS [17]
For the answer to the question above asking w<span>hat is the conditional probability that exactly two of the children will be allergic to peanuts, given that at least one of the three children suffers from this allergy?
The answer to the question above is 0.0012. I hope this helps</span>
3 0
3 years ago
Jesse has a 13.47-ounce bar of gold. He cuts 1.55 ounces off to make a piece of jewelry. How much gold is left in the bar?
telo118 [61]

Answer:

11.92 Ounces.

8 0
3 years ago
Question 5
Tcecarenko [31]

Answer:

The COP is 0.5

Step-by-step explanation:

First we must find the slopes.

12.50/25 = 0.5

17.50/35 = 0.5

The COP is 0.5

8 0
3 years ago
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