The function f(x) = 40sin(0.1x + 12) + 50 represents the number of items, f(x), made in a factory each day for x days. The data used to generate the function was collected over 90 days.

Graph the model, and then use the graph to determine on which day each event occurred.

The first day production exceeds 70 items is day


The last day in the first cycle that production exceeds 70 items is day
.

Answer:  80 miles

Step-by-step explanation:

10mph + 30mph = 40 mph

Distance = Speed × time

D = 40m/h × 2 h

D = 80 m

Answer:

-1

Step-by-step explanation:

The midpoint of AB is (-5, 1).

To find the midpoint of a line segment AB, we average the x-coordinates of the two endpoints and the y-coordinates of the two endpoints.

Given that A has coordinates (-3, 8) and B has coordinates (-7, -6), we calculate the midpoint as follows:

x-coordinate of midpoint = (x-coordinate of A + x-coordinate of B) / 2

                     = (-3 + -7) / 2

                     = -10 / 2

                     = -5

y-coordinate of midpoint = (y-coordinate of A + y-coordinate of B) / 2

                     = (8 + -6) / 2

                     = 2 / 2

                     = 1

Therefore, the midpoint of AB is (-5, 1), where -5 is the x-coordinate and 1 is the y-coordinate. This means that the midpoint is equidistant from points A and B, dividing the line segment AB into two equal parts.

For more Questions on the midpoint

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Answer:You can have 3 tables of 15 people at each table, 15 tables of 3 people at each table, 5 tables of 9 people at each table, or 9 tables of 5 people at each table.

Hope this helps!

Step-by-step explanation:

Answer:

5 2/3

Step-by-step explanation:

So because it is a mixed number that means you want to have a whole plus a fraction. You keep the 5 as the whole and because 2/3=.666666. You add them together making 5 2/3.

Answer:

13 dollars per hour ! ^^

Step-by-step explanation:

According to the proportional relationship shown by the graph, the rate of change is of 13 dollars per hour.

A proportional relationship is a function in which the output variable is given by the input variable multiplied by a constant of proportionality, that is:

y = kx

In which k is the constant of proportionality, which is also the rate of change.

Considering the graph, the rate of change, in dollars per hour, is given by:

k = 65/5 = 26/2 = 13.

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Answer:

y= [tex]\frac{2}{3}[/tex]

Step-by-step explanation:

change them to improper fractions

2 1/2= 5/2    1 2/3=5/3

divide y from 5/3:

[tex]\frac{5}{2} y=\frac{5}{3}[/tex]

mutiply each side by 2/5

y=10/15=2/3

here is your answer. change them to improper fractions

2 1/2= 5/2    1 2/3=5/3

divide y from 5/3:

mutiply each side by 2/5

y=10/15=2/3

Answer:

$150

Step-by-step explanation:

1 adult ($41) + 2 children ($35+$35) + 1 senior citizen ($39)

[tex]2x^3+4x^2+2x\\\\GCF = 2x\\\\2x(\frac{2x^3}{2x}+\frac{4x^2}{2x}+\frac{2x}{2x})\\\\2x(x^2+2x+1)\\\\2x(x^2+2(x)(1)+1^2)\\\\2x(x+1)^2[/tex]

Hope this helps, have a blessed and wonderful day!  

Answer:

C. 2x(x + 1)2

the next one is

Find the roots of the polynomial function f(x) = 2x3 + 4x2 + 2x ?

C. x = 0, x = –1 with multiplicity 2

Step-by-step explanation:

did review on edg2020

Answer:

l = [tex]\frac{P - 2w}{2}[/tex]

Step-by-step explanation:

2l + 2w = P

     2l =  P - 2w

      l = [tex]\frac{P - 2w}{2}[/tex]

Answer:

x=1

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:he team advisor randomly chooses 4 students to debate in the next competition. How many different ways can a team that includes Joseph, Malena, Carlos, and Abby be chosen? ... If two angles are congruent, then they are vertical angles.

Step-by-step explanation:

Answer:D

Step-by-step explanation:s aThe function is always increasing because wether the value of x increases or decreases, the value of f(x) is increasing as well

Answer:

Got my points back

Step-by-step explanation:

Answer:

The term 10E represents the total number of points earned from 10 extended-response questions.

Step-by-step explanation:

Have a good day :p

Answer:

time = 120 minutes

= 120 min

= 02:00:00

= 2 hours, 0 minutes, 0 seconds

Answer: 2

Step-by-step explanation:

Negatives cancel out positives

Answer:

y= 3h

Step-by-step explanation:

make y the subject of the formular

Answer:

1. 20 pounds

2. $11

Step-by-step explanation:

To set this up, you have to use a system of equations. It would look like this, where [tex]p[/tex] is pounds and [tex]t[/tex] is total cost:

UPS: [tex]t=7+0.20p[/tex]

FedEx: [tex]t=5+0.30p[/tex]

In order to solve a system of equations you must either a.) graph it, or b.) set them equal to each other.

If you graph it, the answer is where the two lines intersect.

If you set them equal to each other, solve it.

I will set them equal to each other in this:

[tex]7+0.20p=5+0.30p[/tex]

The first step in a problem like this, where there's the same variable on both sides, is to subtract the smaller variable from both sides. In this case, it is  [tex]0.20x[/tex]. That would turn the equation into:

[tex]7=5+0.10p[/tex]

After that, you must solve it like a regular two-step equation.

Start by subtracting 5 from both sides:

[tex]2=0.10p[/tex]

Now, you must divide both sides by [tex]0.10[/tex].

[tex]\frac{2}{0.10}=\frac{0.10p}{0.10}[/tex]

That would give us:

[tex]20=p[/tex]

This means that in order for the prices to be the same, the package must be 20 pounds.

Now in order to find the total cost, you must plug 20 into one of the equations. It doesn't matter which, since they both equal the same. I will plug it into the FedEx equation:

[tex]t=5+0.30(20)[/tex]

Now you can just use a calculator and solve that or do it by hand. Multiply 0.30 by 20, to get 6, then add 5, which equals 11.

You should get: [tex]t=11[/tex].

This means that the total cost, when the costs are the same for both FedEx and UPS, is $11.

Answer:

it's 80.

Step-by-step explanation:

120-40= 80

....

Answer: 80

Step-by-step explanation:

hope this helps

Answer:

what does f or x mean

Step-by-step explanation:

Answer:

i just did this in class a week ago and i think it was option c

Step-by-step explanation:

Answer:

-28

Step-by-step explanation:

In order to find h(-6) plug in -6 for any "x" in the equation.

So the equation will be h(-6)=5(-6)+2

I just plugged this into my calculator

Hope this is correct and helps! :)

Answer:

The answer is B

Step-by-step explanation:

The equation equals 2970 and the answer B also equals 2970.

Answer:

3

Step-by-step explanation:

M and O are similar but not congurent is

Answer:

The right one would be D

Step-by-step explanation:

Answer:

2x^2 + 10x

Step-by-step explanation:

Answer:

2x^2+10x

Step-by-step explanation:

Answer:-32

Step-by-step explanation:

8x4=32 add a negative sign