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charle [14.2K]
3 years ago
5

What is the 17th term in the geometric sequence? 4,8,16,32,64

Mathematics
1 answer:
Ksivusya [100]3 years ago
7 0
You just multiply by 2 as you can see
4×2=8
8×2=16 and so on
64×2=128 therefore 128 is the answer
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Juan rides his bike with a constant speed of 20 km/h. How long will he take to travel a distance of 30 kilometers?
Fudgin [204]
Given:
unit rate: 20km/h

Speed = distance / time
20kmh = 30km / time
time = 20kmh / 30km
time = 2/3 hrs or 40 minutes

2/3 hrs * 60mins/hr = (2*60)/3 = 120/3 = 40 minutes

4 0
3 years ago
Read 2 more answers
Use the identity (x+y)(x2−xy+y2)=x3+y3 to find the sum of two numbers if the product of the numbers is 10, the sum of the square
professor190 [17]

Answer:

The sum of two numbers is 7.

Step-by-step explanation:

Given : the product of the numbers is 10, the sum of the squares of the numbers is 29, and the sum of the cubes of the numbers is 133.

Using identity (x+y)(x^2-xy+y^2)=x^3+y^3 and given details, we have to find the sum of two numbers.

Since, given that the product of the numbers is 10 that is xy=10

Also, given the sum of the squares of the numbers is 29 that is x^2+y^2=29

and the sum of the cubes of the numbers is 133 that is x^3+y^3=133

Using, the given identity (x+y)(x^2-xy+y^2)=x^3+y^3,

Substitute, the given values, we have,

(x+y)(29-10)=133

Simplify , we get,

(x+y)(19)=133

Divide both side by 19, we have,

(x+y)=7

Thus, the sum of two numbers is 7.

7 0
4 years ago
Read 2 more answers
For f(x) = 2x+1 and g(x) = x+14, find (gof)(x).
Goryan [66]

Answer: OPTION B

Step-by-step explanation:

You can observe that the exercise provides you two Linear functions.

The first Linear function is the function f(x). This is:

f(x) = 2x+1

And the other Linear function is the function g(x):

g(x) = x+14

In order to find (gof)(x), you need to follow these steps shown below:

<u>Step 1</u>:

You must substitute the function f(x) into the function g(x); this means that the function f(x) will be in the place of the variable "x" of the function g(x); as you can observe below:

(gof)(x) = (2x+1)+14

<u>Step 2</u>:

Finally you must combine the like terms (You can notice that the like terms are 1 and 14; then you must add them). Therefore, you get that  (gof)(x) is:

(gof)(x) = 2x+1+14\\\\(gof)(x) = 2x+15

5 0
3 years ago
The price of a flight was increased by 3% to £650. What was the price before the increase?
Masja [62]
The answer is 630.5. What you’d need to do to solve the problem is multiply 3% (0.03) by 650 and you’d end up getting 19.5. Subtract the number you got (19.5) from 650, and you’ll end up with your answer.
7 0
3 years ago
Enter the repeating digit<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B9%7D%7B11%7D%20" id="TexFormula1" title=" \frac{9}{1
ololo11 [35]

Answer:

Step-by-step explanation:

\frac{9}{11}=0 .818181....

     __  

= 0.81

5 0
3 years ago
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