All categories

2 years ago

Please HELP!!!! will give brainliest!!

Mathematics

1 answer:

Temka [501]2 years ago

6 0

Answer:

Original equation:

y = a sin(b(θ -c)) + d

a = vertical dilation (stretch) of the amplitude

b = horizontal compression (shrink) of the period

c = horizontal shift (left/right)

d = vertical shift (up/down)

Your function is:

y = 3 sin(3θ + π) - 2

First, put it into the general from by factoring out the three in the argument of the sine:

y = 3 sin(3(θ + π/3)) - 2

a = vertical (amplitude) dilation = 3

b = horizontal (period) compression = 2π/period = 3

c = horizontal shift = π/3 to the left

d = vertical shift = -2

You might be interested in

Customers experiencing technical difficulty with their Internet cable hookup may call an 800 number for technical support. Itake

Paladinen [302]

Answer:

(A) The percent of the problems takes more than 5 minutes to resolve is 60.87%.

(B) The problem solving time will be 50% as long as the difference between the two end points is 5.75.

(D) Mean = 6.25 minutes, Standard deviation = 3.32 minutes

Step-by-step explanation:

Let the random variable X represent the time it takes the technician to resolve the problem.

The random variable X follows an Uniform distribution with parameters a = 0.50 minutes and b = 12 minutes.

The probability density function of X is:

$f_{X}(x)=\frac{1}{b-a};\ a$

(A)

Compute the probability that the problems takes more than 5 minutes to resolve as follows:

$P(X>5)=\int\limits^{12}_{5}{\frac{1}{12-0.50}}\, dx$

$=\frac{1}{11.50}\cdot \int\limits^{12}_{5}{1}\, dx \\\\=\frac{1}{11.50}\cdot [x]\limits^{12}_{5}\\\\=\frac{1}{11.50}\cdot [12-5]\\\\=\frac{7}{11.50}\\\\=0.608696\\\\\approx 0.6087$

Thus, the percent of the problems takes more than 5 minutes to resolve is 60.87%.

(B)

Let the middle 50% of the problem-solving times be between u and v.

Then,

P (u < X < v) = 0.50

$\int\limits^{v}_{u}{\frac{1}{12-0.50}}\, dx=0.50\\\\\frac{1}{11.50}\cdot \int\limits^{v}_{u}{1}\, dx=0.50\\\\\frac{v-u}{11.50}=0.50\\\\(v-u)=5.75$

Thus, the problem solving time will be 50% as long as the difference between the two end points is 5.75.

(C)

The interval in which the technician can solve the problem is 30 seconds to 12 minutes.

So, the values of a and b in minutes is:

a = 30 seconds = 0.50 minutes

b = 12 minutes.

(D)

The mean time is:

$\mu=\frac{a+b}{2}=\frac{0.50+12}{2}=6.25\ \text{minutes}$

The standard deviation of the time is:

$\sigma=\sqrt{\frac{(b-a)^{2}}{12}}=\sqrt{\frac{(12-0.50)^{2}}{12}}=3.3197\approx 3.32\ \text{minutes}$

5 0

3 years ago

What is 98% more then 1170

Bogdan [553]

More than means increase, so you have to increase 1170 by 98%.

1170×98=114660
114660÷100=1146.6
1170+1146.6=2316.6

answer=2316.6

8 0

3 years ago

Read 2 more answers

The slope of the line below is-2. Which of the following is the point-slope form of the line?

DENIUS [597]

Answer:

The correct answer is D. y + 8 = -2(x-4)

Step-by-step explanation:

6 0

3 years ago

What is the result of adding these two equation? 5x-9y=1 -7x+2y=-5

SCORPION-xisa [38]

The result of adding the given equations is 2x+7y=4.

Step-by-step explanation:

Given equations are;

5x-9y=1 Eqn 1

-7x+2y=-5 Eqn 2

Adding Eqn 1 and 2

$(5x-9y)+(-7x+2y)=1+(-5)\\5x-9y-7x+2y=1-5$

Arranging alike terms;

$5x-7x-9y+2y=-4\\-2x-7y=-4$

Dividing each term by -1

$\frac{-2x}{-1}+\frac{-7y}{-1}=\frac{-4}{-1}\\2x+7y=4$

The result of adding the given equations is 2x+7y=4.

Keywords: addition, linear equations

Learn more about addition at:

#LearnwithBrainly

4 0

3 years ago

Please help me with this answer

aivan3 [116]

It should be 56.
each time they are adding an odd number
55+1 = 56
56+3= 59
59+5= 64
64+7= 71
71+9= 80
80+11=91
So; the answer is: 56

6 0

4 years ago

Read 2 more answers