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Varvara68 [4.7K]
3 years ago
12

Evaluate arccsc square root of 2

Mathematics
1 answer:
leonid [27]3 years ago
8 0
Sin⁻¹ √2 = 1/√2 = 1(√2) / (√2)(√2) = √2/2
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Let f(x)=3x-6 and g(x)=x-2 find f(g(5))-ie. (f • g)(5) and its domain
Molodets [167]

Solution for f(g(5)):


The notation f(g(5)) or (f • g)(5) means that we first plug 5 into the function g(x), simplify, then plug the answer that we got to f(x). We will do this step-by-step:


Step 1: Plugging 5 to g(x)

g(5)=5-2=3


Step 2: Plugging the answer to f(x)

f(3)=3(3)-6=9-6=3


ANSWER: f(g(5)) is equal to 3.


Domain:


For the function f(g(x)), we can find the domain by analyzing the domains of each individual functions separately and excluding certain values depending on the restrictions from the outermost function.


However, since both functions have all real numbers as its domain, we will not need to do any exclusion anymore.


ANSWER: The domain of the function is all real numbers.

3 0
3 years ago
A scuba diver reaches an elevation of -78 feet, which is a depth of 78 feet.
gavmur [86]

Answer:

true

Step-by-step explanation:

depth is how far down you are from the surface

6 0
3 years ago
For the graph 2x - 3y - 7 = 0 <br> determine the coordinates of the axes intercepts.
Sliva [168]

Answer:

X intercept: (7/2, 0)

Y intercept: (0, -7/3)

Step-by-step explanation: Add 7 to both sides. We get 2x-3y=7

Now, plug in zero for y, and we are left with 2x = 7 (the y cancels.) Dividing by 2 leaves us 7/2, and (0, 7/2)

Now starting back to 2x-3y=7

Plug in zero for x, and we are legt with -3y = 7 (the x cancels.) Divide by -3, and we get -7/3 and (-7/3, 0)

8 0
2 years ago
The height of a sunflower is normally distributed with a mean of 14.2 feet and a standard deviation of 2.15. What is the probabi
tekilochka [14]

Answer:

0.153

Step-by-step explanation:

Chjmk

In this question, we are asked to calculate the probability of selecting a sunflower greater than a particular height.

What to do in this case is to first find the z-score based on this information given.

Mathematically,

Z-score = x- mean/standard deviation

Here, z-score will have a value of;

(16.4-14.2)/2.15 = 1.023

Therefore,

P(height >16.4ft) = P(Zscore >1.023) = 1-Fz(1.023) = 0.153

4 0
3 years ago
Shing brought 4 quiches for a party. Each quiche has 8 slices. There are 8 other people at the party. Everyone at the same numbe
noname [10]

Answer:

That would be 3

Step-by-step explanation:

(4*8)/9

6 0
3 years ago
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