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denis-greek [22]

2 years ago

7

When converting from inches to feet, the measurement in inches, m, of an object varies directly with its measurement in feet, f,

with the constant of variation being 12.What is the equation relating these two quantities?

1 answer:

djyliett [7]2 years ago

5 0

12f=m
It can also be m/12=f, but since it is asking for inches to feet the first one is better

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Johann fits a linear model to a set of data. The line of best fit has the equation y=0.331986x+5.33286. The scatter plot with th

Rasek [7]

Answer:

6.33

Step-by-step explanation:

Here, we are asked to give a residual value at x = 3

This mean we are to predict the value of y at the point x= 3

To do this, what we need to do is to input the value x = 3 into the line of best fit equation.

The line of best fit equation according to the question is;

y=0.331986x+5.33286

Substituting x here, we have

y = 0.331986(3) + 5.33286

y = 0.995958 + 5.33286 = 6.328818

Question asks to give answer to the nearest hundredth and that is 6.33

5 0

1 year ago

The community center has a pottery class each month. Each student pays $15 for the class and $27 for materials. This month the

pav-90 [236]

Answer:

17

Step-by-step explanation:

$15+$27=$42

$712 divided by $42 is 17 meaning there are 17 kids in the class.

4 0

2 years ago

Evaluate the integral. 17 sin2(x) cos3(x) dx step 1 since 17 sin2(x) cos3(x) dx has an odd power of of cos(x), we will convert a

lord [1]

To evaluate 17 int (sin^2 (x) cos^3(x))
From Trig identity. Cos^2(x) + sin^2(x) =1. Cos^2(x) = 1 - sin^2 (x)
Cos^3(x) = cosx * (1 - sin^2 (x)) = cosx - cosxsin^2x
So we have 17 int (sin^2x(cosx - cosxsin^2x))
int (sin^2x(cosx)dx - int (sin^4xcosx)dx. ----------(1)
Let u = sinx then du = cosxdx
Substituting into (1) we have
int (u^2du) - int (u^4du)
u^3/3 - u^5/5
Substitute value for u we have
(sinx)^3/3 - (sinx)^5/5
Hence we have 17 [ sin^3x/3 - sin^5x/5]

7 0

1 year ago

The article points out that caffeine in reasonable amounts of coffee does not appear to be a problem, but "the research is typic

ale4655 [162]

The first one is 500
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6 0

2 years ago

Read 2 more answers

Four people at pia’s pottery shop each make 29 mugs and 18 pottery bowls three people at Jason’s craft shop each make the same n

BartSMP [9]

The seven people made 383 objects in all

Step-by-step explanation:

The given is:

Four people at pia’s pottery shop each make 29 mugs and 18 pottery bowls
Three people at Jason’s craft shop each make the same number of mugs and twice as many pottery bowls

We need to find how many objects the seven people made in all

∵ Four people at pia’s pottery shop each make 29 mugs

∵ Three people at Jason’s craft shop each make the same

number of mugs

∴ Seven people in the two shops made 29 mugs each

∴ The total number of mugs = 7 × 29

∴ The total number of mugs = 203

∵ Four people at pia’s pottery shop each make 18 pottery bowls

∵ Three people at Jason’s craft shop each make twice as

many pottery bowls

- Multiply the number of bowls by 2

∴ Three people at Jason’s craft shop each make 2 × 18 = 36

pottery bowls

∴ The total number of pottery bowls = (4 × 18) + (3 × 36)

∴ The total number of pottery bowls = 72 + 108

∴ The total number of pottery bowls = 180

Now add the total number of mugs and the total number of pottery bowls to find the total number of objects the seven people made

∵ The total number of mugs is 203

∵ The total number of pottery bowls is 180

∴ The total number of objects = 203 + 180

∴ The total number of objects = 383

The seven people made 383 objects in all

Learn more;

You can learn more about the word problems in brainly.com/question/10557938

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1 year ago