Find the solution for x in the equation ^3√2 + 6 = -3

Antonina needs to have worked at least 909090 volunteer hours to graduate. She has already volunteered with a housing organizati

Veseljchak [2.6K]

An inequality can be formed by simply translating the problem statement to numerical expressions.

From the problem we know that $3w$ added with $52$ hours should be equal or greater than $90$ (helpful insight from the keyword "at least"). Therefore, it's inequality would look like:

$3w+52>=90$ (>= is used instead of ≥ for constraints in formatting)

The inequality above best models the situation.

8 0

3 years ago

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The graph of an inverse trigonometric function passes through the point (1, pi/2). Which of the following could be the equation

rodikova [14]

Answer: C) $y=sin^-1 x$

Step-by-step explanation:

Since, the graph of an inverse trigonometric function will pass through the point $(1,\frac{\pi}{2})$ ,

If this point satisfies the function,

For the function $y=cos^{-1} x$

If x = 1

$y=cos^{-1}1=0$

Thus, $(1,\frac{\pi}{2})$ is not satisfying function $y=cos^{-1} x$ ,

⇒ The graph of $y=cos^{-1} x$ is not passing through the point $(1,\frac{\pi}{2})$

For the function $y=cot^{-1}x$

If x = 1

$y=cot^{-1}1=\frac{\pi}{4}$

Thus, $(1,\frac{\pi}{2})$ is not satisfying function $y=cot^{-1}x$ ,

⇒ The graph of $y=cot^{-1}x$ is not passing through the point $(1,\frac{\pi}{2})$

For the function $y=sin^{-1} x$

If x = 1

$y=sin^{-1}1=\frac{\pi}{2}$

Thus, $(1,\frac{\pi}{2})$ is satisfying function $y=sin^{-1} x$ ,

⇒ The graph of $y=sin^{-1} x$ is passing through the point $(1,\frac{\pi}{2})$ .

For the function $y=tan^{-1}x$

If x = 1

$y=tan^{-1}1=\frac{\pi}{4}$

Thus, $(1,\frac{\pi}{2})$ is not satisfying function $y=cos^{-1} x$ ,

⇒ The graph of $y=tan^{-1} x$ is not passing through the point $(1,\frac{\pi}{2})$ .

Hence, Option C is correct.

3 0

3 years ago

A dog is tied to a leash on a tree and the leash is 10 meters long. There is a bone 15 meters away but the dog easily gets the b

Alex17521 [72]

Answer:

One way the dog can easily reach the bone is given by the relationship between the dog, the tree, and the bone

The dog can easily reach the bone when the tree is between the the dog and the bone, and the dog was more than 5 meters behind the tree

Therefore the distance the dog can reach in the direction of the bone from its position behind the tree is more than 15 meters and the dog can easily get the bone while the leash is not harmed

Step-by-step explanation:

3 0

3 years ago

F(x) = 2x + 6, and g(x) = x2 + 6, find (g ○ f)(1)

vova2212 [387]

The correct answer is
g(f(1))
Plug 1 into the f function.
f(1) = 2(1) + 6
f(1) = 8
Now evaluate g(8)
g(8) = 8^2 + 6
g(8) = 70

Hope this helps!

So in short your answer is 70

8 0

3 years ago

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What is the least common denominator of 2/5 and 3/10 and 9/11

Basile [38]

Answer:

110

Step-by-step explanation:

2/5 = 44/110

3/10 = 33/110

9/11 = 90/110

4 0

4 years ago