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3 years ago

From the intersection for the following sets.

Mathematics

1 answer:

zaharov [31]3 years ago

3 0

Since x is intersecting y, it will be XnY =(0, 10)

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How do you do this question?

mihalych1998 [28]

Answer:

C) π/6

Step-by-step explanation:

The area under the curve from x=-π/2 to x=k is 3 times the area under the curve from x=k to x=π/2.

$\int\limits^k_{-\frac{\pi }{2}} {cos\ x} \, dx = 3\int\limits^{\frac{\pi }{2}}_k {cos\ x} \, dx\\sin\ x\ |^{k}_{-\frac{\pi }{2}} = 3\ sin\ x\ |^{\frac{\pi }{2}}_k\\(sin\ k - (-1)) = 3\ (1 - sin\ k)\\sin\ k + 1 = 3 - 3\ sin\ k\\4\ sin\ k = 2\\sin\ k = \frac{1}{2}\\k = \frac{\pi}{6}$

Graph: desmos.com/calculator/mezlen9hb4

3 0

3 years ago

What is the nth term of the sequence? 4, 2, 0, –2, ..

tatuchka [14]

' n ' the 'n'th term

1    4
2    2
3    0
4 -2 .

In general, the 'n'th term of the sequence is A(n) = 6 - 2n .

3 0

3 years ago

What is the approximate diameter of a tire that will make 775 complete rotations in one mile? (Note: there are 5280 feet

GalinKa [24]

Answer:

About 2.17 feet.

Step-by-step explanation:

Let d represent the diameter of the tire.

Then the circumference of the tire will be:

$C=d\pi$

So, the tire will travel dπ miles after one rotation.

After 775 rotations, the total miles traveled should be 5280 feet. Thus:

$775(d\pi)=5280$

Solve for d:

$\displaystyle d=\frac{5280}{775\pi}$

Approximate:

$d=2.1686...\approx2.17$

The circumference of the tire should be about 2.17 feet.

5 0

2 years ago

64. Denise wants to burn at least 5000 calories a week through running. Based on her running speed, she estimates that she can b

Rudiy27

An inequality that represents Denise's goal in terms of the number of hours spent running 'h'

$550h\leq 5000$

Given :

Denise wants to burn at least 5000 calories a week through running.

she can burn 550 calories per hour

Let 'h' be the number of hours spent

In 1 hour she can burn 550 calories

In 'h' hours she can burn 550h calories

Given that she want to burn atleast 5000 calories in a week

Burn atleast 5000 calories means <=5000 calories

So , the inequality that represents Denise's goal is

calories burn in h hours <= 5000 calories

$550h\leq 5000$

Learn more : brainly.com/question/381815

5 0

2 years ago

Which function has no horizontal asymptote? F (x) = StartFraction 2 x minus 1 Over 3 x squared EndFraction f (x) = StartFraction

yanalaym [24]

Answer:

$f(x)=\frac{2x^2}{3x-1}$

Step-by-step explanation:

The function $f(x)=\frac{2x-1}{3x}$ has a horizontal asymptote which is $y=\frac{2}{3}$

The function $f(x)=\frac{x-1}{3x}$ has a horizontal asymptote which is $y=\frac{1}{3}$

The function $f(x)=\frac{2x^2}{3x-1}$ has no horizontal asymptote because the numerator has a degree which is higher than the degree of the denominator,

The function $f(x)=\frac{3x^2}{x^2-1}$ has a horizontal asymptote which is $y=3$

3 0

3 years ago

Read 2 more answers