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4 years ago

12

Solve this problem.

1 answer:

Vesna [10]4 years ago

6 0

Each interior angle = 540/5= 108

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Use cubic regression to find a function that fits the following points.

olasank [31]

Answer:

The cubic regression that fits the points $(x,y) =(-2,-16)$ , $(x,y) = (1,5)$ , $(x,y) = (3, 59)$ and $(x,y) =(6,440)$ is $y =2\cdot x^{3}+x+2$ .

Step-by-step explanation:

A cubic polynomial is a polynomial that has the following form:

$y = a\cdot x^{3}+b\cdot x^{2}+c\cdot x + d$ (1)

Where:

$x$ - Independent variable, dimensionless.

$y$ - Dependent variable, dimensionless.

$a$ , $b$ , $c$ , $d$ - Coefficients, dimensionless.

We construct the following system of equations to determine the coefficients of the cubic regression:

$(x,y) =(-2,-16)$

$-8\cdot a +4\cdot b -2\cdot c + d = -16$ (1)

$(x,y) = (1,5)$

$a+b+c+d= 5$ (2)

$(x,y) = (3, 59)$

$27\cdot a + 9\cdot b + 3\cdot c + d = 59$ (3)

$(x,y) =(6,440)$

$216\cdot a + 36\cdot b + 6\cdot c + d = 440$ (4)

The solution of the system of linear equations is:

$a = 2$ , $b = 0$ , $c = 1$ , $d = 2$

The cubic regression that fits the points $(x,y) =(-2,-16)$ , $(x,y) = (1,5)$ , $(x,y) = (3, 59)$ and $(x,y) =(6,440)$ is $y =2\cdot x^{3}+x+2$ .

7 0

3 years ago

20 POINTS!!!!!! Answer 1-16 Hurry no work just answer needed

Mamont248 [21]

1. Alternate angle

2. Alternate exterior angle

3. Corresponding angle

4. Vertical angle

5. Consecutive angle

6. Alternate exterior angle

7. x = 110°

8. x = 70°

9. x = 60°

10. x = 130°

11. x = 53°

12. x = 60°

13. x = 30°

14. x = 65°

15. x = 24°

16. x = 174°

<em>hope this helps....</em>

6 0

3 years ago

GEOMETRY HELP? Circle O is shown below. What is the measure of BAC?

Firdavs [7]

B. You need to add 73 and 73

4 0

3 years ago

Read 2 more answers

Last year, Heather had $20,000 to invest. She invested some of it in an account that paid 6% simple interest per year, and she i

Ket [755]

Answer:

The money invested in the account 1 was $8,000 and in the account 2 was 12,000.

Step-by-step explanation:

In this case we can formulate a system of equations that could find the amount invested in each account, this is:

Money invested in the account 1 is A

Money invested in the account 2 is B

Eq. 1: $A+B=20,000$

Eq. 2: $\frac{6}{100} *A+\frac{8}{100} *B=1,440$

Replacing the equation 1 in 2, this is:

$\frac{6}{100} *(20,000-B)+\frac{8}{100} *B=1,440$

$1,200-0.06B+0.08B=1,440$

$0.02B=1,440-1,200$

$B=\frac{240}{0.02}$

$B=12,000$

Now, we can find A:

$A=20,000-B$

$A=20,000-12,000$

$A=8,000$

The money invested in the account 1 was $8,000 and in the account 2 was 12,000.

5 0

3 years ago

after receiving a discount of 14.5% of the original price. I paid $6156. how much was the order before the discount

joja [24]

Answer:

6156/0.855 = $7200

Step-by-step explanation:

8 0

4 years ago

Read 2 more answers