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ZanzabumX [31]
2 years ago
8

What is the answer explain please

Mathematics
1 answer:
eduard2 years ago
6 0

Answer:

Pattern B

<h3> Explain:  </h3>

A quadratic relationship is characterized by constant second differences.

<em><u>Pattern A </u></em>

Sequence: 0, 2, 4, 6

First Differences: 2, 2, 2 . . . . constant indicates a 1st-degree (linear, arithmetic) sequence

__________________________________________________________

<em><u>Pattern B</u></em>

Sequence: 1, 2, 5, 10

First Differences: 1, 3, 5

Second Differences: 2, 2 . . . . constant indicates a 2nd-degree (quadratic) sequence

__________________________________________________________

<em><u>Pattern C</u></em>

Sequence: 1, 3, 9, 27

First Differences: 2, 6, 18

Second Differences: 4, 12 . . . . each set of differences has a common ratio, indicating an exponential (geometric) sequence

__________________________________________________________

Pattern B shows a geometric relationship between step number and dot count.

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If 8^{y}=18^{y+2} what is the value of y?
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Answer:

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Step-by-step explanation:

both 8^-8 and 16^-8+2 equal 5.9605

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Solve the equation 7 − 2x = 19.
Karolina [17]

Answer:

-6

Step-by-step explanation:

firstly arrange whole equation,

-2x+7=19

Now, Transpose 7 to RHS (right hand side)

-2x=19-7

-2x=12

Further, seperate coefficient -2 from x

and transpose it to RHS and divide them

x=12/-2

Hence, x= -6

8 0
3 years ago
Perform the given operation and simplify.<br> (m-2)(m*2+2m-3)
dedylja [7]

Answer:

=4m^2−11m+6

Step-by-step explanation:

Given algebraic expression:

(m-2)(m•2+2m-3)

To:

Simplify

Solution:

(m−2)(m(2)+2m−3)

=(m)(m(2))+(m)(2m)+(m)(−3)+(−2)(m(2))+(−2)(2m)+(−2(−3)

=2m^2+2m^2−3m−4m−4m+6

=4m^2−11m+6

6 0
2 years ago
A professor at Givens College is interested in the relationship between hours spent studying and total points earned in a course
ra1l [238]

Answer:

1. y = 0.437798+0.829539X

2. there is a significant effect

3. 7.523

4. 41.914

5. no

6. 0.8777

Step-by-step explanation:

1.

from the regression output we have

intercept = 0.437798

slope = 0.829539

the regression line would therefore be =

y = 0.437798 + 0.829539X

2.

h0 = regression is not significant

h1: regression is significant

alpha = 0.05

p value = 0.0001

we compare p-value with alpha

0.0001<0.05

we therefore reject H0 and conclude that hours spent studying have significant effect on total points.

3.

To get standard error of estimate:

mean sum of squared error = MSE

MSE = 56.5974

= √56.5974

= 7.523

4.

points of a student who spent 50 hours studying. we calculate this from the regression line

y = 0.437798 + 0.829539X

x = 50

y = 0.437798 + 0.829539(50)

y = 41.914

5.

no I would not be comfortable using estimate regression equation to predict his point of a student spent 120 hours studying. this value is out of range of the predictor values (independent variables)

6. to get r² (r squared)

r² = SSR/SST

SSR = 3249.72

SST = 3702.5

r² = 3249.72/3702.5

= 0.8777

7.

we are supposed to solve question 7 from question 8. but no question 8 was given. hence no solution

4 0
3 years ago
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