Brandon stated that 0.66 and are equivalent. Do you agree? Explain why or why not. 2

olganol [36]

Answer: $3 \times 10^{13}$

Explanation:

Highlight the first digit on the very left (2). The 7 right next to it means we'll round that 2 up to a 3. Every other digit becomes a zero.

The number 27,895,168,401,112 rounds to 30,000,000,000,000 which is the number 30 trillion.

It converts to the scientific notation $3 \times 10^{13}$ because we basically start with 3.0 and move the decimal point 13 spots to the right to arrive at 30 trillion as shown above.

8 0

3 years ago

Write down all the prime numbers between 15 and 25

Tju [1.3M]

17,19,23 are the prime numbers

8 0

3 years ago

Read 2 more answers

First make a substitution and then use integration by parts to evaluate the integral. (Use C for the constant of integration.) x

e-lub [12.9K]

Answer:

$(\frac{x^{2}-25}{2})ln(5+x)-\frac{x^{2}}{4}+\frac{5x}{2}+C$

Step-by-step explanation:

Ok, so we start by setting the integral up. The integral we need to solve is:

$\int x ln(5+x)dx$

so according to the instructions of the problem, we need to start by using some substitution. The substitution will be done as follows:

U=5+x

du=dx

x=U-5

so when substituting the integral will look like this:

$\int (U-5) ln(U)dU$

now we can go ahead and integrate by parts, remember the integration by parts formula looks like this:

$\int (pq')=pq-\int qp'$

so we must define p, q, p' and q':

p=ln U

$p'=\frac{1}{U}dU$

$q=\frac{U^{2}}{2}-5U$

q'=U-5

and now we plug these into the formula:

$\int (U-5)lnUdU=(\frac{U^{2}}{2}-5U)lnU-\int \frac{\frac{U^{2}}{2}-5U}{U}dU$

Which simplifies to:

$\int (U-5)lnUdU=(\frac{U^{2}}{2}-5U)lnU-\int (\frac{U}{2}-5)dU$

Which solves to:

$\int (U-5)lnUdU=(\frac{U^{2}}{2}-5U)lnU-\frac{U^{2}}{4}+5U+C$

so we can substitute U back, so we get:

$\int xln(x+5)dU=(\frac{(x+5)^{2}}{2}-5(x+5))ln(x+5)-\frac{(x+5)^{2}}{4}+5(x+5)+C$

and now we can simplify:

$\int xln(x+5)dU=(\frac{x^{2}}{2}+5x+\frac{25}{2}-25-5x)ln(5+x)-\frac{x^{2}+10x+25}{4}+25+5x+C$

$\int xln(x+5)dU=(\frac{x^{2}-25}{2})ln(5+x)-\frac{x^{2}}{4}-\frac{5x}{2}-\frac{25}{4}+25+5x+C$

$\int xln(x+5)dU=(\frac{x^{2}-25}{2})ln(5+x)-\frac{x^{2}}{4}+\frac{5x}{2}+C$

notice how all the constants were combined into one big constant C.

7 0

3 years ago

Which equation models the problem below if c represents the number of babies whose eyes are closed? There are 12 babies in a pho

Pavel [41]

The correct answer is: 9 + c = 12

Further explanation:

Given

c = number of babies whose eyes are closed

So,

If the total number of babies are 12 then the sum of babies with eyes closed and eyes opened should be equal to 12.

As c is the number of babies with eyes closed and 9 is the number of babies with eyes opened then,

$9+c = 12$

The equation can be used to find the number of babies whose eyes are open

$9+c-9 = 12 -9\\c = 3$

Three babies have their eyes closed in the photograph.

Keywords: Linear equations, Word problems

Learn more about linear equations at:

#LearnwithBrainly

5 0

3 years ago

Instructions

Anuta_ua [19.1K]

Step-by-step explanation:

Drag the empty jar to the lake to get a water sample

2. Fill two beakers with 600 ml water from the jar

3. Put the “1” and “2” labels on each beaker

Take the pH meter to Beaker 1 and record the pH and description in Table A

Take the pH meter to Beaker 2 and record the pH and description in Table B

Add 1 unit of each base (soap, alkaline batteries, baking soda) to Beaker 2 and record the pH and description in Table B, and clear

This means that my hypothesis at the beginning was correct, more of m/s means KE will increase proportionally because they are all linear. I found it surprising when the bean bag height went over the water bottle drop mark.

4. To conclude, my hypothesis matched my data. The data values went up when more mass or speed was added. This means if I were in a situation where I needed more kinetic energy for something, I would know to increase mass or the speed of the object giving it energy.

The reason that this hypothesis is correct is when you have more mass, you have more energy. So, when you drop let's say a baseball, it isn’t that heavy so it would only launch the bean bag so far. But a bowling ball is very heavy and has lots of energy when falling because of that, it would make the bean bag go very high.

To make this experiment better, I would use a smoother material for the lever so energy wouldn’t be lost by friction from wood rubbing together. Also, maybe a scanner or video camera to more accurately record how far the bean bag went. All of these would help the lab get more precise results, maybe they could be used in a future lab.

7 0

3 years ago

Read 2 more answers

Brandon stated that 0.66 and are equivalent. Do you agree? Explain why or why not. 2​

Brandon stated that 0.66 and are equivalent. Do you agree? Explain why or why not. 2