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sineoko [7]
3 years ago
8

PLEAS HELPHELP

Mathematics
1 answer:
Amiraneli [1.4K]3 years ago
8 0

Answer:

f (g (pi / 2)) = 0

Step-by-step explanation:

We have the following functions:

f (x) = sin x

g (x) = cos x

The first thing we must do in this case is the composition of functions:

f (g (x))

By making the composition we have:

f (g (x)) = sin (cos x)

We evaluate for x = pi / 2:

f (g (pi / 2)) = sin (cos (pi / 2))

f (g (pi / 2)) = sin (0)

f (g (pi / 2)) = 0

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Suppose a bag of marbles has 4 green, 2 red, 5 yellow, 1 brown, and 7 blue marbles. What is the probability of picking a red mar
swat32

Assuming that each marble can be picked with equal probability, we notice that there is a total of

4+2+5+1+7 = 19

marbles, of which 2 are red.

So, the probability of picking a red marble is

\dfrac{2}{19}

In fact, as in any other case of (finite) equidistribution, we used the formula

P(\text{event}) = \dfrac{\text{number of favourable cases}}{\text{number of all possible cases}}

4 0
3 years ago
Please help me with this problem! <br> If you could please graph it that would be awesome!
tangare [24]

The graph of the function is drawn. The open circle at -1 and 4 for -2x + 3.

The complete question is attached below.

<h3>What is a piecewise function?</h3>

The function that is transformed into the number of pieces is known as piecewise function.

The piecewise function is given below.

f(x)=\left\{\begin{matrix}3x-5 & x\leq -1 \\\\-2x+3 & -1 < x < 4 \\\\2 & x\geq 4 \\\end{matrix}\right.

The graph of the function is drawn.

The open circle at -1 and 4 for -2x + 3.

More about the piecewise function link is given below.

brainly.com/question/12561612

#SPJ1

5 0
2 years ago
Find (4/5+3/6-5/12) ÷ 2/3​
slavikrds [6]

Answer:

1/2 + 2/3 + 5/4 = 29/ 12 = 2 5/  12  ≅ 2.4166667

Step-by-step explanation:

Add: 1/ 2  + 2/ 3  = 1 · 3/ 2 · 3  + 2 · 2/ 3 · 2  = 3/ 6  + 4/ 6  = 3 + 4/ 6  = 7/ 6

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(2, 3) = 6. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 3 = 6. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - one half plus two thirds = seven sixths.

Add: the result of step No. 1 + 5/ 4  = 7/ 6  + 5/ 4  = 7 · 2/ 6 · 2  + 5 · 3/ 4 · 3  = 14/ 12  + 15/ 12  = 14 + 15/ 12 = 29/ 12

For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of both denominators - LCM(6, 4) = 12. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 6 × 4 = 24. In the next intermediate step, the fraction result cannot be further simplified by canceling.

In words - seven sixths plus five quarters = twenty-nine twelfths.

<em>hope it helps...</em>

<em>correct me if I'm wrong...</em>

7 0
3 years ago
You are buying 12-packs of Mountain Dew for $\text{4.50}4.50 each and have a gift card worth $77. The function m\left(x\right)=4
poizon [28]

Answer:

$191

Step-by-step explanation:

The function is given by :

m(x) = 4.50x-7 ...(1)

Where

m(x) is the total cost if you buy x 12 packs of Mountain Dew.

We need to find the cost you pay to buy 44 12-packs of Mountain Dew

Put x = 44 in equation (1), we get :

m(x) = 4.50(44)-7

m(x) = 198-7

m(x) = $191

Hene, the cost for 44 12- packs of Mountain Dew is $191.

7 0
3 years ago
Assume that the cheetah travels an average of 40 mph to go from its resting place to a rock near a river. On the return trip to
Eduardwww [97]

Answer:

9.55 minutes

Step-by-step explanation:

x hours to go to the river

0.25-x hours to come back, since 15 minutes is 0.25 hr.

to the river 40 mph * x hours =40x miles

from the river 70 mph (0.25-x) hours=17.5-70x

those two are equal

40x=17.5-70x

110x=17.5

x=17.5/110=0.159 hours

9.55 minutes

3 0
3 years ago
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