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3 years ago

Explain in words how to find -4 times -1.5 on a number line in words

1 answer:

5 0

Since both numbers are negative we know that the product will be positive and when something is time 1.5 that is the same as a 50% increase so that is adding half of the original number (4) so the final answer is 6 (4+(half of 4))=6

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The width of a rectangle is the length minus 3 units.The area of the rectangle is 10 units. What is the width, in units, of the

labwork [276]

Answer:

2 units

Step-by-step explanation:

It's because the only whole number factor pair to 10 is 2x5 and luckily, it turned out that 5-3=2, so there are no decimals or fractions.

5 0

2 years ago

Find the general solution to 3y′′+12y=0. Give your answer as y=... . In your answer, use c1 and c2 to denote arbitrary constants

lozanna [386]

Answer:

$y(x)=c_1e^{2ix}+c_2e^{-2ix}$

Step-by-step explanation:

You have the following differential equation:

$3y''+12y=0$ (1)

In order to find the solution to the equation, you can use the method of the characteristic polynomial.

The characteristic polynomial of the given differential equation is:

$3m^2+12=0\\\\m^2=-\frac{12}{3}=-4\\\\m_{1,2}=\pm2\sqrt{-1}=\pm2i$

The solution of the differential equation is:

$y(x)=c_1e^{m_1x}+c_2e^{m_2x}$ (2)

where m1 and m2 are the roots of the characteristic polynomial.

You replace the values obtained for m1 and m2 in the equation (2). Then, the solution to the differential equation is:

$y(x)=c_1e^{2ix}+c_2e^{-2ix}$

4 0

3 years ago

What is the domain of the relation?

Tresset [83]

Answer:

Domain: 3, 6, 8, 9, 7

Step-by-step explanation:

Domain: 3, 6, 8, 9, 7

(Domain, Range)

The domain of a function or relation is the set of all possible independent values the relation can take.

Hope this helps :)

6 0

3 years ago

Read 2 more answers

X 12 = 6 10 give your answer as an improper fraction in its simplest form.

Alika [10]

Answer:

41/6

Step-by-step explanation:

Take the root of both sides and solve.

3 0

2 years ago

Question set 2: Many species of terrestrial tree frogs that hibernate at or near the ground surface can survive prolonged exposu

joja [24]

Answer:

0.86

Step-by-step explanation:

The z-score we need to make the comparison is given by

$\bf z=\frac{-2.05-(-2)}{\sigma/\sqrt{n}}$

where

$\bf \sigma$ = the standard deviation established in the study

n = the sample size

$\bf z=\frac{-2.05-(-2)}{0.3/\sqrt{42}}=-1.0801$

and for the Normal distribution N(0,1) we want to find

By using a spreadsheet or the table attached, we find that

P(X > -1.0801) = 0.86

(See picture attached)

7 0

3 years ago