All categories

4 years ago

Simplifying the equation

Mathematics

1 answer:

TEA [102]4 years ago

4 0

1. x^15
2. m^40
3. v^7/2
4. k^4
5. 1/x^14
6. 1/r^3/2
7. b^25
8. h^2
9. m^3n^1/7
10. x^12
11. 1/g^37
12. 1/100m^6
13. j^6/216
14. 1/125f^3
15. 3z^1/2
16. 1/100m^6
17. j^6/216
18.1/81d^20
19. 1
20. g^1/2 r^3
21. 16a^11
22. m^16n^21
23. 1
24. 1/y^10x^6
25. 343s^10/t^17/2
26.n^17/2 /m^10/2
27. 729/b^24c^9
28. 20y^2/x^33

You might be interested in

Find the regression equation, letting the first variable be the predictor (x) variable. Using the listed lemon/crash data, wh

Norma-Jean [14]

Answer:

The equation of regression is

$y = 16.522 - 0.00279 \cdot x$

The predicted crash fatality rate is 15.057 for 525 metric tons of lemon import.

Step-by-step explanation:

We are given the following lemon/crash data,

Lemon Imports = 226 264 366 470 539

Crash Fatality Rate = 16 15.7 15.4 15.3 15

The regression equation is given by

$y = a + b \cdot x$

where x is the lemon imports in metric tons and y is the fatality rate per 100,000 people.

The constants b is the slope and a is the y-intercept of the regression line and are given by

$a = \frac{\sum Y \times \sum X^2 - \sum X \times \sum XY }{n \times \sum X^2 - (\sum X)^2}$

$b = \frac{n \times \sum XY - \sum X \times \sum Y }{n \times \sum X^2 - (\sum X)^2}$

Using Excel to find $\sum X, \sum Y, \sum XY, \sum X^2$

$\sum X$ = 1865

$\sum Y$ = 77.4

$\sum XY$ = 28673.2

$\sum X^2$ = 766149

So the constants a and b are

$a = \frac{77.4 \times 766149 - 1865 \times 28673.2 }{5 \times 766149 - (1865)^2}$

$a = 16.522$

$b = \frac{5 \times 28673.2 - 1865 \times 77.4 }{5 \times 766149 - (1865)^2}$

$b = -0.00279$

Therefore, the equation of regression is

$y = a + b \cdot x \\\\y = 16.522 - 0.00279 \cdot x$

The best predicted crash fatality rate for a year in which there are 525 metric tons of lemon imports is given by

$y = 16.522 - 0.00279 \cdot (525) \\\\y = 16.522 - 1.465 \\\\y = 15.057$

The predicted crash fatality rate of 15.057 for 525 metric tons of lemon import seems to be satisfactory since it lies between the crash fatality rate of 15 to 15.3 for lemon imports of 539 to 470.

8 0

3 years ago

Given<br>2<br>f (x) = -5x^2 – 8x + 3 and g(x) = -3x^2<br>+ 7x + 11,<br>find (f +g) (x)

denis23 [38]

Answer:

$\boxed{\sf \ \ \ (f+g)(x)=-8x^2-x+14 \ \ \ }$

Step-by-step explanation:

Hello,

$f(x)=-5x^2-8x+3 \ and\\g(x)=-3x^2+7x+11 \ so\\(f+g)(x)=f(x)+g(x)=-5x^2-8x+3-3x^2+7x+11\\=-8x^2-x+14$

hope this helps

do not hesitate if you have any question

7 0

3 years ago

The area of a circle

Mnenie [13.5K]

Answer:

area of the circle = 36π cm²

But area of a circle = πr²

Which means,

πr² = 36π

r² = 36π/π

r² = 36

r = √36 = 6 cm

Radius = 6 cm

6 0

3 years ago

PLEASE HELP WILL MARK BRAINLIEST IF CORRECT!!

bulgar [2K]

Answer: 40 ft

Step-by-step explanation: 40ft .use pythagoras theorem taking 50ft as your hypotenuse and 30ft as your adjacent

8 0

3 years ago

Read 2 more answers

Please help me it would mean a lot

SVEN [57.7K]

Problem 10

<h3>Answer: 80 degrees</h3>

Work Shown: 80-0 = 80

You subtract the values on the protractor where the two angle arms line up.

============================================

Problem 11

<h3>Answer: 45 degrees</h3>

Work Shown: 45-0 = 45

Same idea as problem 10

============================================

Problem 12

<h3>Answer: 83 degrees</h3>

Work Shown: 128-45 = 83

Same idea as the others. The arm TS isn't fully on 130 degrees, and it's a bit short of it. It looks to be about 128 degrees or so.

============================================

Problem 13

<h3>Answer: 35 degrees</h3>

Explanation: Luis forgot to subtract the value of each arm of the angle. So he should have done 80-45 = 35. The answer would be 80 degrees if arm TQ was at 0 degrees (so 80-0 = 80), but instead TQ is at 45 degrees.

6 0

3 years ago