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2 years ago

For the given functions f and g, find the requested function.

Mathematics

1 answer:

Sonja [21]2 years ago

3 0

Answer:

its 1

Step-by-step explanation:

i just know

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use the explicit formula an = a1 + (n - 1) * d to find the 500th term of the sequence below. 24,30,36,42,48,... A. 3018 B. 3042

marishachu [46]

Answer:

Option A.

Step-by-step explanation:

The given sequence is

24, 30, 36, 42, 48, ...

It is an AP. Here,

First term = 24

Common difference = 30-24 = 6

The given explicit formula for nth term is

$a_n=a_1+(n-1)d$

where, $a_1$ is first term, d is common difference.

Substitute $a_1=24, d=6 \text{ and }n=500$ in the above formula.

$a_{500}=24+(500-1)(6)$

$a_{500}=24+(499)(6)$

$a_{500}=24+2994$

$a_{500}=3018$

The 500th term of the sequence is 3018.

Therefore, the correct option is A.

3 0

3 years ago

What is the volume of a cylinder with the base radius of 10 units and a height of nine units?

Otrada [13]

Answer:

$V = 2827.43\ units^3$ or $V = 900\pi\ units^3$

Step-by-step explanation:

The volume of a cylinder is calculated by the following formula

$V = \pi r^2 *h$

Where r is the radius of the cylinder and h is the height

In this case we know that the radius r of the base is:

$r=10\ units$

and

$h=9\ units$

So the Volume is:

$V = \pi (10)^2 *9$

$V = 900\pi\ units^3$

$V = 2827.43\ units^3$

7 0

4 years ago

Read 2 more answers

How Do I solve this

stiv31 [10]

Answer:

add and multiply

Step-by-step explanation:

add them up and get your answer

then multiply that answer by 5

6 0

3 years ago

Determine whether the triangles can be proved similar. If they are similar, write a similarity statement. If they are not simila

Ierofanga [76]

Answer: $\triangle XYZ \sim \triangle GFH$ by AA.

Step-by-step explanation:

Finding the third angle in triangle XYZ,

$m\angle YXZ=180^{\circ}-77^{\circ}-48^{\circ}=55^{\circ}$ ,

Thus, $\triangle XYZ \sim \triangle GFH$ by AA.

3 0

2 years ago

P is directly proportional to u.

nata0808 [166]

Answer:

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Step-by-step explanation:

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4 0

3 years ago

Read 2 more answers