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3 years ago

Find the domain and range of radical function

Mathematics

1 answer:

Tju [1.3M]3 years ago

8 0

The radical function is 3√x + 1.

Since the cubic root of zero is zero, 0 would be x.

Add zero and one, which gives you 1. 1 is y.

You get (0,1)

Since this is a positive radical, it would be going to the top right.

So, the domain is x ≥ 0

the range is y ≥ 1

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Ethan spends 4 dimes on a plastic crab and then Sophia buys a pink flamingo pen for 1 quarter how much money do they spend in al

slega [8]

Answer:

10+10+10+10+25= 65 cents

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2 years ago

As used in line 50, "reason" most nearly means

mr_godi [17]

Correct option is C. As used in line 50, "reason" most nearly means intellect.

<h3>Line from the passage - </h3>

Line 50: ...unless freedom strengthens her reason till she comprehends her duty, and sees in what manner it is connected with her real good?

<h3>This question is based on paragraph from Mary Wollstonecraft, A Vindication of the Rights of Woman. Originally published in 1792, which is given below -</h3>

" That half the human race is excluded by the other half from any participation in government; that they are native by birth but foreign by law in the very land Line where they were born; and that they are

5 property-owners yet have no direct influence or representation: are all political phenomena apparently impossible to explain on abstract

"Contending for the rights of woman, my main argument is built on this simple principle, that if she be not prepared by education to become the companion of man, she will stop the progress of 45 knowledge and virtue; for truth must be common to all, or it will be inefficacious with respect to its influence on general practice.

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open before you when you observed, "that to see one half of the human race excluded by the other from all participation of government, was a political phenomenon that, according to abstract principles, it 65 was impossible to explain." If so, on what does your."

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3 0

2 years ago

Find the 97th term of the arithmetic sequence

kozerog [31]

<h2>Answer:</h2><h2>The 97th term in the series is 409</h2>

Step-by-step explanation:

The given sequence is 25, 29, 33, ....

The sequence represents arithmetic progression

In an AP, the first term is a1 = 25

The difference between two terms, d = 29 - 25 = 4

To find the 97th term,

By formula, $a_{n} = a_{1} + (n - 1) d$

Substituting the values in the above equation, we get

$a_{97} = 25 + (97 - 1) 4$

= 25 + (96 * 4)

= 25 + 384

= 409

The 97 th term in the given sequence is 409.

3 0

3 years ago

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

3 years ago

How many liters are in 120 kiloliters

Natali [406]

6 is your answer, hope it helped

8 0

3 years ago

Read 2 more answers