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3 years ago

How do you work out 3^2+2^3 indices

Mathematics

1 answer:

Bingel [31]3 years ago

4 0

3^2 +2^3

9+2^3

9+8

Answer : 17

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Using the diagram below, identify the relationship of the pair of angles and find the value of x.

ziro4ka [17]

Answer:

The angles are supplementary to each other (their sum is 180 degrees)

x = 62°

Step-by-step explanation:

(2x+10) + 46 = 180

subtract 56 from each side

2x = 124

divide both sides by 2

x = 62°

5 0

3 years ago

What is the ratio of the number of 8 nickels to the number of 10 dimes?

MakcuM [25]

Answer:

2/5

Step-by-step explanation:

start by 8*5 then 10 times 10 then simplify

4 0

2 years ago

Read 2 more answers

D^2(y)/(dx^2)-16*k*y=9.6e^(4x) + 30e^x

MA_775_DIABLO [31]

The solution depends on the value of $k$ . To make things simple, assume $k>0$ . The homogeneous part of the equation is

$\dfrac{\mathrm d^2y}{\mathrm dx^2}-16ky=0$

and has characteristic equation

$r^2-16k=0\implies r=\pm4\sqrt k$

which admits the characteristic solution $y_c=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}$ .

For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be $y_p=ae^{4x}+be^x$ . Then

$\dfrac{\mathrm d^2y_p}{\mathrm dx^2}=16ae^{4x}+be^x$

So you have

$16ae^{4x}+be^x-16k(ae^{4x}+be^x)=9.6e^{4x}+30e^x$
$(16a-16ka)e^{4x}+(b-16kb)e^x=9.6e^{4x}+30e^x$

This means

$16a(1-k)=9.6\implies a=\dfrac3{5(1-k)}$
$b(1-16k)=30\implies b=\dfrac{30}{1-16k}$

and so the general solution would be

$y=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}+\dfrac3{5(1-k)}e^{4x}+\dfrac{30}{1-16k}e^x$

8 0

2 years ago

(0.053) (0.578)<br> Multiply the numbers

Crazy boy [7]

Answer:

If you multiply the numbers you will get

0.030634

5 0

2 years ago

Anita plans to give her husband 3 shirts for his birthday. She narrows the search to 3 shirts from a selection of 17 shirts at D

Lunna [17]

Using the combination formula, it is found that she can select the shirts in 775,200 ways.

The order in which the shirt are chosen is not important, hence, the <em>combination formula</em> is used to solve this question.

Combination formula:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by:

$C_{n,x} = \frac{n!}{x!(n-x)!}$

In this problem:

3 shirts from a set of 17.

Then, 3 shirts from a set of 20.

They are independent, hence, to find the total, we multiply both combinations.

$T = C_{17,3} \times C_{20,3} = \frac{17!}{3!14!} \times \frac{20!}{3!17!} = 680 \times 1140 = 775200$

She can select the shirts in 775,200 ways.

To learn more about the combination formula, you can check brainly.com/question/25821700

5 0

2 years ago