Mathematics College

Slick Slack is a downloadable app that can be used to automatically generate excuses for being late to work based on the weather, traffic conditions, and the employer's line of business. One week after its release, 6,040 copies of Slick Slack were downloaded. After 5 weeks, 13,090 copies had been downloaded. Let x represent the number of weeks since Slick Slack was released, and y represent the number of copies that had been downloaded. Use the marginal change and the fact that 1 week after its release 5840 copies of Slick Slack were downloaded to determine the y intercept in the equation y = a + bx.
a) (x,y) =____.
b) write the equation in the form y = a + bx for the number of copies downloaded x weeks after its release.

Answers

Answer 1

Answer:

[tex](x_1,y_1) = (1,5840)[/tex]

[tex](x_2,y_2) = (2,13090)[/tex]

[tex]y = 1812.5x + 4027.5[/tex]

[tex]y_0 = 4027.5[/tex] --- y intercept

Step-by-step explanation:

Given:

x = weeks; y = copies

The right parameters are:

After 1 week, 5840 copies were downloaded

After 5 weeks, 13090 copies were downloaded

So, the (x,y) forms are:

[tex](x_1,y_1) = (1,5840)[/tex]

[tex](x_2,y_2) = (5,13090)[/tex]

Next, we calculate the slope (m) using:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{13090 - 5840}{5 - 1}[/tex]

[tex]m = \frac{7250}{4}[/tex]

[tex]m = 1812.5[/tex]

The equation is then calculated using:

[tex]y = m(x - x_1) + y_1[/tex]

[tex]y = 1812.5(x - 1) + 5840[/tex]

[tex]y = 1812.5x - 1812.5 + 5840[/tex]

[tex]y = 1812.5x + 4027.5[/tex]

To calculate the y intercept, substitute 0 for x

[tex]y_0 = 1812.5*0 + 4027.5[/tex]

[tex]y_0 = 0 + 4027.5[/tex]

[tex]y_0 = 4027.5[/tex]

Related Questions

I need help with the questions I circle only.

Answers

Answer:

3:12

4:36

Step-by-step explanation:

( pls dont report me let me kno if it wrong and i will fix it

Not SUV= 12

I didn’t get the last one

A company has a maximum advertising budget of $100,000 for the year. It
will be using two different platforms of advertising: online ads and billboards. Each online ad purchased will cost $15,000 for the year, and each billboard will cost $10,000 for the year. The company will not spend more than 60% of its overall budget on one of the platforms.Given that x represents the number of online ads purchased and y represents the number of billboards purchased, create a system of inequalities modeling the scenario. Select all that apply.

Answers

Answer:

Step-by-step explanation:

What percent of 84 is 42

Answers

Sorry if I’m wrong but i believe it’s 50.

12+x=46
what is the answer to x?

Answers

Answer:

x=34

Step-by-step explanation:

Use slopes and y-intercepts to determine if the lines 4x−3y=6 and y=43x−1 are parallel.

Answers

Answer:

Since they have the same slope, they are parallel.

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope. If two lines are parallel, they have the same slope.

4x−3y=6

Placing into the above format:

[tex]3y = 4x - 6[/tex]

[tex]y = \frac{4x - 6}{3}[/tex]

[tex]y = \frac{4x}{3} - 2[/tex]

The slope [tex]m = \frac{4}{3}[/tex]

y=4/3x−1

The slope is [tex]m = \frac{4}{3}[/tex]

Since they have the same slope, they are parallel.

Evaluate 4a^0 where a = -2

Answers

Answer:

[tex]4a^0 = 4 \times 1 = 4[/tex]

4
Explanation:
4(-2)^0= 4(1)= 4

Damian took out a car loan for $10,500 that has a 0% APR for the first 12
months and will be paid off with monthly payments over 3 years. For how
many months will Damian be charged interest?

A. 24 months
B. 48 months
C. 36 months
D. 12 months

Answers

Answer: 24 Months

Step-by-step explanation:

3/5+1/4

Give your answer as a fraction in its simplest form



Answers

Answer:

5.25/5 i think

Step-by-step explanation:

3/5 = 8/10 and 1/4 = 2.5/10

So if I do 8/10 + 2.5 / 10.

My reply is 10.5/10

And if I reduce as max, my reply is: 5.25 / 5

A process manufactures ball bearings with diameters that are normally distributed with mean 25.14 mm and standard deviation 0.08 mm. NOTE: This is a multi-part question. Once an answer is submitted, you will be unable to return to this part. A particular ball bearing has a diameter of 25.2 mm. What percentile is its diameter on

Answers

Answer:

The diameter is in the 77th percentile.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

25.14 mm and standard deviation 0.08 mm.

This means that [tex]\mu = 25.14, \sigma = 0.08[/tex]

A particular ball bearing has a diameter of 25.2 mm. What percentile is its diameter on?

This is the pvalue of Z when X = 25.2. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{25.2 - 25.14}{0.08}[/tex]

[tex]Z = 0.75[/tex]

[tex]Z = 0.75[/tex] has a pvalue of 0.77.

The diameter is in the 77th percentile.

If Q1=5 and Q3=15, what is the Interquartile range (IQR) and what does it tell you about the data?​

Answers

It would be 15-5=10 that is because you subtract q3-q1

hey so i need help on my khan so please please please help

Answers

Answer:

Step-by-step explanation:

First one to answer this gets BRAINLIEST no cap. (Look at the pic)

Answers

Answer:

36.

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

The formula to solve this is a+b)/2*h

4+5=9

9/2=4.5

4.5*8= 36

5 1/3 + (2 2/3 + 1 1/3)

Answers

answer: 9 and 1/3!! brainliest are appreciated

Question 2
There are 8 students in a discussion section: 3 boys and 5 girls.
If the teacher picks a group of 1 at random, what is the probability that everyone in the
group is a boy?
3/8
1/3
110
Submit answer
Exit
wl
Chin

Answers

Answer:

3/8

Step-by-step explanation:

this is because there are 8 students in all and only three of them are boys

A private beach is 6/7 mile in length and 1/4 mile in width. What is the area of the private beach? (Don't forget to simplify)Immersive Reader
(20 Points)

Answers

6/28 is the answer

6x1=6
7x4=28
Hence 6/28 is the area

Can anyone help me with my homework

Answers

GFBH is the code

1 is -3,-2 which is G
2 is 3,4 which is F
3 is 2,0 which is B
4 is 1,-3 which is H

PLS HELP I WILL GIVE BRAINLYEST

Answers

Answer:

hey

Step-by-step explanation:

pls help me then i help u

In AIJK, i = 270 cm, j = 170 cm and _K=122°. Find the area of AIJK, to the
nearest square centimeter.

Answers

9514 1404 393

Answer:

  19,463 cm²

Step-by-step explanation:

The area is given by the formula ...

  A = (1/2)ij·sin(K)

Filling in the values, we find the area to be ...

  A = (1/2)(270 cm)(170 cm)·sin(122°) ≈ 19,463 cm²

circle A is defined as (x+5)^2+(y-6)^2=16, and circle B is defined as (x+3)^2+(y+2)^2=9. which transformation of circle A shows that circle B is similar

Answers

Answer: the answer is D “The center of circle A is translated left 2 and up 8, and the radius is enlarged by a scale factor of 4/3.”

Step-by-step explanation:

A rectangle with an area of 61 units” is dilated by a scale factor of ;. Find the area of
the rectangle after dilation. Round your answer to the nearest lenth, if necessary.

Answers

Answer:

34 units

Step-by-step explanation:

I decided that one side is 61 units and the other is 1 unit, since that would make the area 61 units.

Then I multiplied 61 by 3/4, which equals a new length of 45.75 units, and I also multiplied 1 by 3/4, which equals a new length of 0.75 units.

Finally, I solve for the area of the rectangle:

45.75 x 0.75 ≈ 34 units (rounded to the nearest whole number)

The sum of three consecutive positive numbers is 147. Find the product of the greatest and the
smallest number.

Answers

Answer:

any how there are three consecutive positive numbers

Rewrite the number in Standard form
6 x 10^8

Answers

Answer:

10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 100,000,000 x 6 = 600,000,000.

Answer:

600000000

Step-by-step explanation:

10^8=100000000

6×100000000=600000000

hope this helps

Find the value of k that makes the function continuous

Answers

Answer:

13/3

OR

4.33333

Step-by-step explanation:

For this function to be continuous, the second function must have the value of the limit as x approaches 3 of the first function.

To find [tex]\lim_{x \to 3} \frac{2x^2-3-15}{x-3}[/tex] we have to factor the top of the fraction

2x^2 - 3 -15

2x^2 - 18

2* (x^2 - 9)

2 * (x + 3) (x - 3)

this is perfect because this cancels out the x - 3 on the bottom

so the function become f(x) = 2 * (x + 3)

When 3 is plugged in it becomes 2 * (3 + 3) = 2 * 6 = 12

Now if you plug in 3 to the second function and make it equal to 12, you can find the value of k.

k*(3) - 1 = 12

k*3 = 13

k = 13/3

k = 4.33

What is the correct order of operations? *
PEMDAS
O MDPASE
ASPEMD
PASEMD

HELPPPPPPP

Answers

Answer:

PAMDAS

Step-by-step explanation:

PEMDAS

hope it helps !

A line has a slope of 2 and y-intercept of -3/4 . Which if the following is an equation of the line ?

Answers

Answer:   y = 2x - 3/4

Step-by-step explanation:

y = mx + b where m is the slope, and b is the y-intercept.

y = 2x - 3/4

Find the unit rate.. If a family travels in their mini-van for 465 miles and uses 15 gallons of gas what is the mileage per gallon?
10 points

Answers

465 miles 15 galons
x miles 1 gallon
x=465•1/15
x=465/15
x=31
Rate is 31 mirage per gallon

Please answer this question:

1.)
[tex] {3}^{n + 2} + \: ({3}^{n + 3} - \: {3}^{n + 1})[/tex]
2.)
[tex] \frac{( {25}^{ - 1} + ( {25}^{ - 2})}{( {625}^{0} + ( {25}^{ - 2} )}[/tex]
hope you can help me. thank you in advance. I'll give the brainliest. ​

Answers

Answer:

[tex] {3}^{n + 2} + \: ({3}^{n + 3} - \: {3}^{n + 1} ) \\{ 3 }^{n + 2} + {3}^{n + 1} ({3}^{2} + 1) \\ {3}^{n + 2} + {3}^{n + 1} (9 + 1) \\ {3}^{n + 1} (3 + 10) \\ {3}^{n + 1} 30 \\ {3}^{n} \times 3 \times 30 = 90 \times {3}^{n}[/tex]

second one 13/313

Which equation is true for the value x = 15?

Answers

Answer:

2x-15=15

where x=15

2(15)-15=15

30-15=15

Answer:

2x-15=15

where x=15

2(15)-15=15

30-15=15

Find the value of x 116 degrees and 33 degrees

Answers

Answer:

x = 31 degrees

Step-by-step explanation:

This is a triangle because there are 3 angles so they all add up to 180 degrees.

116 + 33 + x + 180   Add 116 and 33

149 + x = 180    subtract both sides by 149

x = 31

URGENT PLZ HELP

Solve for x. Assume that lines which appear to be diameters are actual diameters.

Answers

Answer:

Step-by-step explanation:

This is a central angel so the degree of the angle is equal to the degree of the arc which is 111.

X+114=111

add negative -114 to each side to get X alone.

-114+X+114= 111+-114

X=-3 .   Answer negative 3

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