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2 years ago

If a sequence is 0,1,1,2,3,5 what is the 11th number in the sequence?

Mathematics

1 answer:

AnnyKZ [126]2 years ago

6 0

Answer:

Step-by-step explanation:

This is the Fibonacci sequence! Filling out the rest of the numbers, 55 is the 11th number in this sequence.

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Consider the figure below. Line FG is parallel to line JK.

Svet_ta [14]

Answer:

A. a = 10

B. m<FNT = 120°

C. m<KTU = 60°

Step-by-step explanation:

A. (7a + 50)° and (14a - 20)° are corresponding angles. Therefore:

(7a + 50)° = (14a - 20)°

Use this equation to find the value of a

7a + 50 = 14a - 20

Combine like terms

7a - 14a = - 50 - 20

-7a = -70

Divide both sides by -7

-7a/-7 = -70/-7

a = 10

B. m<FNT = (14a - 20)° (alternate interior angles are congruent)

Plug in the value of a

m<FNT = 14(10) - 20

m<FNT = 140 - 20

m<FNT = 120°

C. m<KTU + (14a - 20)° = 180° (linear pair)

Plug in the value of a

m<KTU + 14(10) - 20 = 180

m<KTU + 120 = 180

m<KTU + 120 - 120 = 180 - 120

m<KTU = 60°

6 0

3 years ago

A simple linear regression analysis was conducted to predict the Exam 3 score of students in STA 2023 based on their Exam 1 scor

Katena32 [7]

Answer:

Option A) As the Exam 1 score increases by 1 point, the student's Exam 3 grade will increase, on average, by 0.4845 points.

Step-by-step explanation:

We are given the following in the equation:

A simple linear regression analysis was conducted to predict the Exam 3 score of students in STA 2023 based on their Exam 1 score.

Thus, Exam 3 score becomes the dependent variable and exam 1 score is the independent variable.

The regression equation is given by:

$\hat{y} = 50.57+0.4845x$

Comparing the equation to a linear equation:

$y = mx + c$

m = 0.4845

c = 50.57

Where m is the slope and tells the rate of change and c is the y intercept that is the value of y when x is 0.

When, there is a increase in x, we can write:

$\hat{y}(x) = 50.57+0.4845x\\\hat{y}(x+1) = 50.57+0.4845(x+1)\\\hat{y}(x+1) - \hat{y}(x) = 50.57+0.4845(x+1)-(50.57+0.4845x)\\\hat{y}(x+1) - \hat{y}(x) = 0.4845$

Thus, the slope of equation can be interpreted as:

Option A) As the Exam 1 score increases by 1 point, the student's Exam 3 grade will increase, on average, by 0.4845 points.

5 0

3 years ago

How do you identify the center and radius of each . Then sketch the graph.

lana [24]

All is in the file. The graph and formulas.

3 0

3 years ago

Find (f+g)(x). f(x)=-3x+2 and g(x)=x^3

hodyreva [135]

Answer:

$\large\boxed{(f-g)(x)=x^3-3x+2}$

Step-by-step explanation:

$(f+g)(x)=f(x)+g(x)\\\\\text{We have}\ f(x)=-3x+2\ \text{and}\ g(x)=x^3.\\\\\text{Substitute:}\\\\(f+g)(x)=(-3x+2)+(x^3)=x^3-3x+2$

4 0

3 years ago

What is 56•80 equal

bazaltina [42]

Answer:

56*80=4480

Step-by-step explanation:

3 0

3 years ago