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3 years ago

Choose correct graph with following function

Mathematics

1 answer:

anyanavicka [17]3 years ago

6 0

Answer:

Step-by-step explanation:

From the function, y = cos (3x)

Inputting values of x (horizontal axis), x = pi

y = cos (3 × pi)

= -1 ( remember you are dealing with values in radians not degree)

So now graph 1 and 3 have the same values. So inputting, x = pi/2 into the function, y = cos (3x)

= cos ((3 × pi)/2)

= 0

View the correct graph below.

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Graph y+6 = 4/5 (x+3 using the point and slope given in the equation.

egoroff_w [7]

Answer:

Slope: 4/5

Point: (-3|-6)

4 0

3 years ago

Write a real world problem that can be represented by 10x + 40 = 100.

NISA [10]

10x + 40 = 100

A restaurant owner sells each plate of rice for 10 dollars plus an additional 40 dollars for the entrance. Mack goes to that restaurant and pays 100 dollars in total. How much plates of rice did he order?<span />

8 0

2 years ago

Read 2 more answers

On a cold January morning the radiator fluid in kurls car is-15 degrees Fahrenheit with the engine running the temperature rises

In-s [12.5K]

Answer:

22 minutes

Step-by-step explanation:

40--15 =40+15=55

55/2.5=22

4 0

2 years ago

The number of patients treated at Dr. Artin’s dentist office each day was recorded for nine days. These are the data: 6, 6, 6, 5

klemol [59]

Answer:

D) 5.6, 6, 6, 1

Step-by-step explanation:

Before we start solving this problem, we need to first rearrange the provided data from smallest to greatest, so we get:

5, 5, 5, 5, 6, 6, 6, 6, 6

now we can find the mean. The mean is nothing but the average of the provided values, so we need to add them and then divide them into the total amount of data:

$mean=\frac{5+5+5+5+6+6+6+6+6}{9}=5.6$

next, in an odd number of data, the median is the middle number when written in order. In this case the middle number (the one in the position 5) is 6, so:

median=6

the mode will tell you what is the value that has the greatest number of occurrencies. This is the number that appears the most on our list.

Mode=6

and the range is the difference between the greatest value and the smallest value:

Range=6-5=1

so the answer is D.

6 0

3 years ago

Approximate the change in the volume of a sphere when its radius changes from r= 5ft to r= 5.1ft (v(r)= 3/4 pi r^3)?

leva [86]

Answer:

18.03 cubic feet

Step-by-step explanation:

Hello,

Step 1

find the volume of the sphere when radius= 5 ft

$v(r)= \frac{3}{4} \pi r^3\\v(5)= \frac{3}{4}\pi (5\ ft)^3\\v(5)= \frac{3}{4}\pi *125\ ft^{3} \\v(5)=294.52\ cubic\ feet\\$

Step 2

find the volume of the sphere when radius= 5.1 ft

$v(r)= \frac{3}{4}\pi r^3\\v(5.1)= \frac{3}{4} \pi (5.1\ ft)^3\\v(5.1)= \frac{3}{4}\pi *132.651\ ft^{3} \\v(5.1)=312.551\ cubic\ feet\\\\$

Step 3

Compare the Volumes to find the change

$\frac{v(r_{2})}{v(r_{1})} =\frac{312.551}{294.52} =1.06$

the volumen of the sphere with radius = 5.1 is 1.06 times bigger than the first one(r=5)

Now, find the change

$change= {v(r_{2})-{v(r_{1})}} \\change=312.551\ cubic\ feet\ -294.52 cubic feet \\ change=18.031\ cubic\ feet$

change=18.03 cubic feet

Have a great day.

4 0

2 years ago