MATHEMATICS COLLEGE

Simplify 8X +7 - 2X -4

Answers

Answer 1

Answer:

Answer:

6x + 3

Step-by-step explanation:

8x - 2x + 7 -4

Answer 2

Answer:

Lookattheattachedpicture

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Medical records indicate that people with more education tend to live longer; the correlation is 0.48. The slope of the linear model that predicts lifespan from years of education suggests that on average people tend to live 0.8 extra years for each additional year of education they have. The slope of the line that would predict years of education from lifespan is

Answers

Answer:

0.288

Step-by-step explanation:

Given that :

Correlation (R) = 0.48

Slope of linear model which predicts Lifespan from years of education (m) = 0.8

To determine the value of slope of the model which predicts years of eductauoon from lifespan:

The square of the regression Coefficient is multiplied by the inverse of the slope of linear model which predicts Lifespan from years of education

Hence,

(R² * 1/m)

0.48² * 1/0.8

0.2304 * 1.25

= 0.288

Final answer:

The slope of the line that predicts years of education from lifespan is 1.25.

Explanation:

The slope of the line that predicts years of education from lifespan can be determined by taking the reciprocal of the slope that predicts lifespan from years of education. In this case, the slope of the line that predicts years of education from lifespan would be 1 divided by 0.8, which equals 1.25.

Learn more about Linear Models here:

brainly.com/question/34379385

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An artist creates a cone shaped sculpture for an art exhibit. If the sculpture is 8 feet tall and has a base with a circumference of 21.352 feet, what is the volume of the sculpture? Use 3.14 for Pi

Answers

Answer:

Volume, $V=96.79\ \text{feet}^3$

Step-by-step explanation:

An artist creates a cone shaped sculpture for an art exhibit.

Height of sculpture is 8 feets

The circumference of base of the cone is 21.352 feet.

The base of a con is circular shaped. So,

$2\pi r= 21.352$

r is radius of cone

$r= (21.352)/(2* 3.14) \n\nr=3.4\ ft$

The volume of cone shaped sculpture is given by :

$V=(1)/(3)\pi r^2 h\n\nV=(1)/(3)* 3.14* (3.4)^2 * 8\n\nV=96.79\ \text{feet}^3$

So, the volume of the sculpture is $96.79\ \text{feet}^3$ .

In a rally race the lead car is ahead by 1 1⁄2 hours. If the lead car is going 60 mph and the second place car is going 70 mph and starts 1 1⁄2 hours after the lead car, how long will it take to overtake the leader?

Answers

Let t hours be the time the second car is driving untill it overtakes the first car. The nfirst car is $t-1(1)/(2)$ hours on the road.

If the lead car is going 60 mph, then for the $t-1(1)/(2)$ hours it will go the distance

$60\cdot(t-1(1)/(2))\ m.$

If the second place car is going 70 mph, then for the hours it will go the distance

$70\cdot t\ m.$

These distances are equal, then

$60(t-1(1)/(2))=70t,\n \n60t-60\cdot (3)/(2)=70t,\n \n10t=90,\n \nt=9\ hours.$

Answer: 9 hours

Seven and thirty twp hundreths plus two and one tenth times two and seven tenths minus 18a

Answers

Answer: Write the expression as:

" 70 $(32)/(100)$ +
2 $(1)/(10)$ * 2 $\frac{7}{10$ − 18a " ;
______________________________________________________
or; write as:
______________________________________________________
" 70.32 + (2.1) * (2.7) − 18a " ;
______________________________________________________

To simplify:
______________________________________________________

Using "PEDMAS" (the "order of operations") ;

the "multiplication" comes first;

So: → "(2.1) * (2.7) = 5.67 " .

And rewrite:
______________________________________________________
" 70.32 + 5.67 − 18a " .

Now: " 70.32 + 5.67 = 75.99 " ;

So, we can the final simplified expression as:
______________________________________________________
" 75.99 − 18a " ;

or; write as: " 75 $(99)/(100)$ − 18a " .
______________________________________________________

Point A is located at (-2, 2), and point M is located at (1,0). If point M is the midpoint of AB, find the location of point B.O(-0.5, 1)

O (4,-2)

O(-5,4)

O(-1,1)

Answers

Answer:

B. $B = (4,-2)$

Step-by-step explanation:

GIven that $A = (-2, 2)$ and $M = (1, 0)$ , and that point M is the midpoint of AB, the midpoint can be determined as a vectorial sum of A and B. That is:

$M = (1)/(2)\cdot A + (1)/(2)\cdot B$

The location of B is now determined after algebraic handling:

$(1)/(2)\cdot B = M - (1)/(2)\cdot A$

$B = 2\cdot M -A$

Then:

$B = 2\cdot (1,0)-(-2,2)$

$B = (2\cdot 1, 2\cdot 0)-(-2,2)$

$B = (2,0) -(-2,2)$

$B = (4,-2)$

Which corresponds to option B.

The coordinate of point B will be (4, -2). Then the correct option is B.

What is coordinate geometry?

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Point A is located at (-2, 2), and point M is located at (1,0).

If point M is the midpoint of AB.

Then the location of point B will be

We know that the mid section formula

$\rm (x, y) = \left ( (x_1+x_2)/(2), (y_1+y_2)/(2) \right)$