5. Use inductive reasoning to find the next term in the sequence 0, 1, 1, 2, 3, 5, 8 … HELP PLEASE!!!

Answers

Answer 1
Answer: 0, 1, 1, 2, 3, 5, 8, ... \ (Fibonacci\ sequence)\n\na_1=0,\na_2=1\na_n=a_(n-1)+a_(n-2)\ \ \ \Rightarrow\ \ \ a_8=a_7+a_6=7+5=13
Answer 2
Answer: the next three terms are 13,21,34

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A bank pays 5% interest compounded annually. What principal will grow to $12,000 in 10 years.
Which inequality will have a dashed boundary line with a shaded area above its graph? 7x − y ≤ 3 x − y ≤ 4 2x − 9y > 2 4x + 7y > 3
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What is 23.791 rounded to the nearest tenth?
A photographer is printing a photograph for a client. The ratio of the photograph’s width to its length is 8:10. The client wants a smaller version of the photograph printed, but the ratio of the width to the length needs to stay the same. If the length of the printed photograph is 5 inches, what should the width be?3 inches 4 inches 6 inches 7 inches 8 inches

How do i figure this out?

Answers

Answer:

Slope of function A is greater than slope of function B

Step-by-step explanation:

You calculate the gradient (slope) of function B. That is, change in y divided by change in x.

Take point (0, 1) and (2, 5) from the graph of function B.

change in y = 4

change in x = 2

gradient = 2

b(x) = 2x + 1

Therefore the function B has a lesser slope than function A

The equation of a circle is (x+10)^2+(y-4)^2=100 What is the center and radius of the circle.
1.) Center-10,4); Radius: 10
2.) Center: (-10,4); Radius: 10,000
3.) Center10,-4);Radius: 10
4.) Center10,-4);Radius: 10,000

Answers

Answer:

Correct option is:

1.) Center: (-10,4); Radius: 10

Step-by-step explanation:

The equation of the circle centered at (a,b) and radius r is:

(x-a)^2+(y-b)^2=r^2

Here, we are given a equation:

(x+10)^2+(y-4)^2=100

On comparing this equation with the above equation, we get

a= -10

b=4

and r=10

Hence, Center of circle= (-10,4)

and Radius=10

Hence, Correct option is:

1.) Center: (-10,4); Radius: 10

Hello,

Answer 1
Center=(-10,4)
radius=10

Solve 4^2x=7 by graphing

Answers

Answer:

0.702 is the solution of this function.

Step-by-step explanation:

We have

           4^(2x)=7\n\n4^(2x)-7=0

Let us plot y=4^(2x)-7 when y value of this function is zero then that is the solution of 4^(2x)=7

Refer the figure given, we have at x = 0.702 y value is zero that is 0.702 is the solution of this function.

         

I can't solve that by graphing but I'll try logarithms:
log(7)4 = 2x
log(7)/log(4) = 2x
1.403 = 2x
x = 0.702

jens motorboat travels at a speed of 15mph in still water, the river flows at a speed of 2pmh, how long will it take jen to travel 20mi upstream? 20mi downstream?

Answers

The speed of the motorboat travelling up stream will be 13mph, therefore it will take 20/13 hours to travel 20 miles upstream. This is about 1 and a half hours. The speed of the motorboat travelling downstream will be 17mph, therefore it will take 20/17 hours to travel 20 miles downstream. This is about 1 hour 10 minutes.

Mai bought a television for $325. The tax rate is 8%. Which proportion can be used to find the amount of tax Mai will pay?

A.8/325=x/100

B.8/325=100/x

C.8/100=325/3

D.8/100=x/325

Answers

the answer is
A. 8/225 = x/100

13. Find the exact value of sin 30 ° - sin 45 ° cos 45 ° .a. 0
b. 1/2
c. 1
d. 2

Answers

sin30^o-sin45^ocos45^o\n\nsin30^o=(1)/(2)\n\nsin45^o=cos45^o=(\sqrt2)/(2)\n\nsin30^o-sin45^ocos45^o=(1)/(2)-(\sqrt2)/(2)\cdot(\sqrt2)/(2)=(1)/(2)-(2)/(4)=(1)/(2)-(1)/(2)=0\n\nAnswer:a.
sin30  1/2
sin45*cos45=1/2
=>  1/2  -  1/2 = 0