All categories

3 years ago

What is the 25th term of the following sequence? 17, 24, 31, 38.......

Mathematics

1 answer:

WITCHER [35]3 years ago

7 0

Answer:185

Step-by-step explanation:

If you subtract 31 from 38 you get seven and the pattern continues the entire way through. If you do 17 + 7 x 3 =38. So assuming 17 is the first number you do 17 + 7 x 24

You might be interested in

Assume you know that a hot-air balloon is currently inflated with a certain amount of air and that the amount is a percent of th

Gemiola [76]

Answer:

Percent air is calculated as:

Percent air = Current amount/Total amount *100

Solve for total amount of air:

Total amount = Current amount / Percent air * 100

Substitute the values in hand to get the answer

3 0

2 years ago

Which is an exponential growth function f(x)=6(0.25)x f(x)=0.25(5.25)x

Vikki [24]

Answer: Second Option

$f(x)=0.25(5.25)^x$

Step-by-step explanation:

The exponential growth functions have the following form:

$f(x) = a(b)^x$

Where a is the main coefficient, b is the base and x is the exponent.

For this type of functions the base b must always be greater than 1. Otherwise it would be an exponential decay function

Among the options given, the only function whose base is greater than 1 is the second option:

$f(x)=0.25(5.25)^x$

6 0

3 years ago

Read 2 more answers

Find the difference between8/15 and 2/3 Show all calculations in your final answer.

kherson [118]

Answer:

$\frac{8}{15}-\left(\frac{-2}{3}\right)=\frac{6}{5}$

Step-by-step explanation:

Let the value of a number 'a' be = 8/15

Let the value of a number 'b' be = 2/3

The difference between the two numbers can be calculated by subtracting the numbers

$a-b=\frac{8}{15}-\left(\frac{-2}{3}\right)$

$\mathrm{Remove\:parentheses}:\quad \left(a\right)=a$

$=\frac{8}{15}-\frac{-2}{3}$

$\mathrm{Apply\:the\:fraction\:rule}:\quad \frac{-a}{b}=-\frac{a}{b}$

$=\frac{8}{15}-\left(-\frac{2}{3}\right)$

$\mathrm{Apply\:rule}\:-\left(-a\right)=a$

$=\frac{8}{15}+\frac{2}{3}$

$\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}$

$=\frac{8+10}{15}$

$=\frac{18}{15}$

$\mathrm{Cancel\:the\:common\:factor:}\:3$

$=\frac{6}{5}$

Thus,

$\frac{8}{15}-\left(\frac{-2}{3}\right)=\frac{6}{5}$

3 0

2 years ago

What is the volume of the sphere shown below with a radius of 3?

garri49 [273]

Answer: 113.1

Step-by-step explanation: v=4/3(pie)r^3=4/3•(pie)•3^3= 113.09734

3 0

2 years ago

What is an equivalent expression to 3(4m-2)-2(m+5)

Pavel [41]

Answer:

10m - 16

It's basically the same thing but simplified to make it easier to solve.

Step-by-step explanation:

3(4m-2)-2(m+5)

Distribution

12m-6-2m-10

Combining Like Terms

10m-16

8 0

2 years ago