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olga_2 [115]
3 years ago
8

Which ordered pair is a solution to the equation?

Mathematics
1 answer:
Nimfa-mama [501]3 years ago
4 0

Answer:

C both

Step-by-step explanation:

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Find the area of the region that lies inside the first curve and outside the second curve. r = 6 − 6 sin θ, r = 6
yan [13]
Each curve completes one loop over the interval 0\le t\le2\pi. Find the intersections of the curves within this interval.

6-6\sin\theta=6\implies 1-\sin\theta=1\implies \sin\theta=0\implies \theta=0,\theta=\pi

The region of interest has an area given by the double integral

\displaystyle\int_\pi^{2\pi}\int_6^{6-6\sin\theta}r\,\mathrm dr\,\mathrm d\theta

equivalent to the single integral

\displaystyle\frac12\int_\pi^{2\pi}\bigg((6-6\sin\theta)^2-6^2\bigg)\,\mathrm d\theta

which evaluates to 9\pi+72.

8 0
3 years ago
How do u make 3/4 in a mix number as a whole number or decimal?
KengaRu [80]
In decimal form it's .75 and that's all you can make it
7 0
3 years ago
List price List price: Divide 7434 items between four people, A,B,C and D in the proportions: 3:6:8:4. How many items do B and D
Dafna1 [17]

Answer:

B  2124

D 1416

Step-by-step explanation:

Take the ratio

A    B    C      D      Total

3     6     8    4         21            (3+6+8+4 = 21)

B gets 6 out of every 21 items

Take that fraction times the total items

6/21 * 7434 = 2124

D gets 4 out of every 21 items

Take that fraction times the total items

4/21 * 7434 = 1416

3 0
4 years ago
Read 2 more answers
The population of Earth is estimated to be 7.4 billion people, or 7,400,000,000. What is this number in scientific notation?
Nitella [24]

Answer:

7.4 x 10 to the 9th power

Step-by-step explanation:

At the end of numbers, there is a decimal point. when writing in function notation, you bring the point to the left or to the right depending on if it is a negative or a positive number

in this problem, you are dealing with a positive number, so bring the decimal point to the left. count how many numbers it takes to get in between, in this number, 7 and 4. it takes 9 spaces to the left. now the decimal point has been moved, your number goes from 7,400,000,000 to 7.4 x 10 to the 9th power(7.4 x 10^9)

7 0
3 years ago
When registering their cars, owners must identify the color that covers the largest portion of the vehicle. In one region, the p
Maslowich

<u>Question Completion</u>

(a)In this region, are the events "silver" and "black" mutually exclusive:? Choose 1 answer

(A) Yes  (B) No

(b) Find the probability that a randomly selected car from this region is mainly silver OR mainly black.  P (silver OR black)=

Answer:

(a)Yes

(b)0.41

Step-by-step explanation:

(a) The events silver and black are mutually exclusive. Although a car's color can consist of both silver and black, its main color can only be either silver or black. It cannot be both

(b)In probability theory, given two mutually exclusive events A and B.

P(A or B)=P(A)+(B)

Therefore:

P (silver OR black)= P(silver) + P(black)

= 0.22 + 0.19

= 0.41

5 0
3 years ago
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