MATHEMATICS COLLEGE

Use the numbers from 1 to 9 to fill in the blanks to get the smallest possible answer.

Answers

Answer 1

Answer:

Answer: first blank: 1

second blank: 9

third blank: -7

fourth blank: 2

1x-9=-7

x=2

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If f(x) = 7 sin x + 10 cos x,

Answers

Answer:

7+1x=8, 8+10 =x18 is your answer

Inverse Function In Exercise,analytically show that the functions are inverse functions.Then use the graphing utility to show this graphically.f(x) = e^x - 1
g(x) = In(x + 1)

Answers

Step-by-step explanation:

We need to show whether

$f^(-1)(x) = g(x)$

$g^(-1)(x) = f(x)$

so we'll do either one of them,

we'll convert f(x) to f^-1(x) and lets see if it looks like g(x).

$f(x) = e^x - 1$

we can also write it as:

$y = e^x - 1$

now all we have to do is to make x the subject of the equation.

$y+1 = e^x$

$ln((y+1)) = x$

$x=ln((y+1))$

now we'll interchange the variables

$y=ln((x+1))$

this is the inverse of f(x)

$f^(-1)(x)=ln((x+1))$

and it does equal to g(x)

$g(x)=ln((x+1))$

Hence, both functions are inverse of each other!

This can be shown graphically too:

we can see that both functions are reflections of each other about the line y=x.

People who eat lots of fruits and vegetables have lower rates of colon cancer than those who eat little of these foods. Fruits and vegetables are rich in "antioxidants" such as vitamins A, C, and E. Will taking antioxidants help prevent colon cancer? A medical experiment studied this question with 864 people who were at risk of colon cancer. The subjects were divided into four groups: daily beta-carotene, daily vitamins C and E, all three vitamins every day, or daily placebo. After four years, the researchers were surprised to find no significant difference in colon cancer among the groups(a) What are the explanatory and response variables in this experiment?(b) Outline the design of the experiment. Use your judgment in choosing the group sizes.(c) The study was double-blind. What does this mean?(d) What does "no significant difference" mean in describing the outcome of the study?(e) Suggest some lurking variables that could explain why people who eat lots of fruits and vegetables have lower rates of colon cancer. The experiment suggests that these variables, rather than the antioxidants, may be responsible for the observed benefits of fruits and vegetables.

Answers

Answer:

Step-by-step explanation:

(a). The explanatory variables are the antioxidant group, the response variable is the result of the rate of colon cancer

(b)The design of the experiment is stratified Random sampling. I'll suggest there divided into equal group of 216 each.

(c). Double blind is when the people subjected to the experiment are not in the know if they're given placebo or the real antioxidant

(d) No significant difference mean, there is no convincing relationship that those that engage in using antioxidant have reduced colon cancer rate.

(e) Awareness of its history in family, age also.

Evaluate a2 + b2 + c2 for a = -5, b = -2, and c = 3.

Answers

Step-by-step explanation:

(-5)² + (-2)² + 3²

= 25 + 4 + 9

= 38

Please answer and explain ILL MARK BRAINLIEST

Answers

Answer:

a) x²-x-6

b) 2x²-11x+12

c) x²-4

Step-by-step explanation:

See image!

The two key parts of regression equation involve the______ and the y'________ a. slope; axis
b. asymptote; axis
c. asymptote; intercept
d. slope; intercept

Answers

Answer:

d. slope; intercept

Step-by-step explanation:

A regression equation is represented in the form :

y = mx + c (linear regression)

Where y = predicted variable

m = slope of regression line

x = independent variable

c = intercept (where the regression line crosses the y axis).

For a multiple regression equation where there are more than one independent, then we have multiple slopes

y = c + m1x1 + m2x2 +...mnxn

Hence, the slope. And intercept are the two key part of a regression equation which enables us to make prediction and correlation about the dependent and independent variables.

Answer:

Step-by-step explanation:

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A circle has a diameter of 12 units, and its center lies on the x-axis. What could be the equation of the circle? Check all that apply.(x – 12)2 + y2 = 12(x – 6)² + y² = 36x² + y² = 12x² + y² = 144(x + 6)² + y² = 36(x + 12)² + y² = 144

Which expression represents the phrase " the difference of 18 and 12"?

diane draws abtuse, isoscules triangle with one of the angle mesuring 35. what i sthe messer of teh obtuse triangle