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SVETLANKA909090 [29]
2 years ago
8

50 POINTS AND MARKED BRAINLIEST IF U DO THIS ASAP! LOOK AT PICTURE

Mathematics
1 answer:
amm18122 years ago
8 0

Answer:

Diagram 2, 12 foul balls

Step-by-step explanation:

12/3=4

12-4=8

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Evaluate the following integral using trigonometric substitution.
wariber [46]

Answer:

Step-by-step explanation:

1. Given the integral function \int\limits {\sqrt{a^{2} -x^{2} } } \, dx, using trigonometric substitution, the substitution that will be most helpful in this case is substituting x as asin \theta i.e x = a sin\theta.

All integrals in the form \int\limits {\sqrt{a^{2} -x^{2} } } \, dx are always evaluated using the substitute given where 'a' is any constant.

From the given integral, \int\limits {7\sqrt{49-x^{2} } } \, dx = \int\limits {7\sqrt{7^{2} -x^{2} } } \, dx where a = 7 in this case.

The substitute will therefore be   x = 7 sin\theta

2.) Given x = 7 sin\theta

\frac{dx}{d \theta} = 7cos \theta

cross multiplying

dx = 7cos\theta d\theta

3.) Rewriting the given integral using the substiution will result into;

\int\limits {7\sqrt{49-x^{2} } } \, dx \\= \int\limits {7\sqrt{7^{2} -x^{2} } } \, dx\\= \int\limits {7\sqrt{7^{2} -(7sin\theta)^{2} } } \, dx\\= \int\limits {7\sqrt{7^{2} -49sin^{2}\theta  } } \, dx\\= \int\limits {7\sqrt{49(1-sin^{2}\theta)}   } } \, dx\\= \int\limits {7\sqrt{49(cos^{2}\theta)}   } } \, dx\\since\ dx = 7cos\theta d\theta\\= \int\limits {7\sqrt{49(cos^{2}\theta)}   } } \, 7cos\theta d\theta\\= \int\limits {7\{7(cos\theta)}   }}} \, 7cos\theta d\theta\\

= \int\limits343 cos^{2}  \theta \, d\theta

8 0
3 years ago
Is 12/4 equal to 3/12
kotegsom [21]

Answer:

No, it is not.

Step-by-step explanation:

The decimal value of 12/4 is 3

The decimal value of 3/12 is 0.25

8 0
3 years ago
The diameter of a bacteria colony that doubles every hour is represented by the graph below. What is the diameter of the bacteri
SOVA2 [1]

For this case we have a function of the form:

y = A * (b) ^ x

Where,

A: initial population of bacteria

b: growth rate

x: number of hours

Since the diameter is double every hour, then:

b = 2

We must now look for the value of A.

To do this, we evaluate an ordered pair of the graph:

For (1, 2):

2 = A * (2) ^ 1

Clearing A we have:

2 = A * 2

A = \frac{2}{2}\\A = 1

Then, the function is given by:

y = 1 * (2) ^ x

For after 9 hours we have:

y = 1 * (2) ^ 9\\y = 512

Answer:

the diameter of the bacteria after 9 hours is:

y = 512

6 0
3 years ago
16+24/8-6 is equal to________
Yuliya22 [10]

Answer: The answer is 28. Hope this helps:)

8 0
3 years ago
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What is a good math skill grade? in apex, like a number.​
Lelu [443]

Answer:

60%

Step-by-step explanation: Apologies if incorrect

7 0
3 years ago
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