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3 years ago

2x squared times x squared

1 answer:

6 0

2x^2 • x^2 = 2x^4
First, multiply the terms with the same base by adding their exponents
2x^2+2

Then, add the numbers
2x^4

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Solve the inequality and enter the solution as an inequality <br><br><br> X-7<1

enot [183]

Answer: x < 8

Step-by-step explanation:

5 0

3 years ago

Pumping stations deliver oil at the rate modeled by the function D, given by d of t equals the quotient of 5 times t and the qua

goblinko [34]

<h2>Hello!</h2>

The answer is: There is a total of 5.797 gallons pumped during the given period.

To solve this equation, we need to integrate the function at the given period (from t=0 to t=4)

The given function is:

$D(t)=\frac{5t}{1+3t}$

So, the integral will be:

$\int\limits^4_0 {\frac{5t}{1+3t}} \ dx$

So, integrating we have:

$\int\limits^4_0 {\frac{5t}{1+3t}} \ dt=5\int\limits^4_0 {\frac{t}{1+3t}} \ dx$

Performing a change of variable, we have:

$1+t=u\\du=1+3t=3dt\\x=\frac{u-1}{3}$

Then, substituting, we have:

$\frac{5}{3}*\frac{1}{3}\int\limits^4_0 {\frac{u-1}{u}} \ du=\frac{5}{9} \int\limits^4_0 {\frac{u-1}{u}} \ du\\\\\frac{5}{9} \int\limits^4_0 {\frac{u-1}{u}} \ du=\frac{5}{9} \int\limits^4_0 {\frac{u}{u} -\frac{1}{u } \ du$

$\frac{5}{9} \int\limits^4_0 {(\frac{u}{u} -\frac{1}{u } )\ du=\frac{5}{9} \int\limits^4_0 {(1 -\frac{1}{u } )$

$\frac{5}{9} \int\limits^4_0 {(1 -\frac{1}{u })\ du=\frac{5}{9} \int\limits^4_0 {(1 )\ du- \frac{5}{9} \int\limits^4_0 {(\frac{1}{u })\ du$

$\frac{5}{9} \int\limits^4_0 {(1 )\ du- \frac{5}{9} \int\limits^4_0 {(\frac{1}{u })\ du=\frac{5}{9} (u-lnu)/[0,4]$

Reverting the change of variable, we have:

$\frac{5}{9} (u-lnu)/[0,4]=\frac{5}{9}((1+3t)-ln(1+3t))/[0,4]$

Then, evaluating we have:

$\frac{5}{9}((1+3t)-ln(1+3t))[0,4]=(\frac{5}{9}((1+3(4)-ln(1+3(4)))-(\frac{5}{9}((1+3(0)-ln(1+3(0)))=\frac{5}{9}(10.435)-\frac{5}{9}(1)=5.797$

So, there is a total of 5.797 gallons pumped during the given period.

Have a nice day!

4 0

4 years ago

You are having a dinner catered. You pay a rental fee of $150 for the dining hall, and you pay the caterer $10 for each person w

Verdich [7]

Answer:

$13

Step-by-step explanation:

For 50 people it will cost you 150 + 50(10) or 500

150 +500 = 650 Divide that among 50 people and you get a cost of $13 a person.

5 0

2 years ago

carlos won 83 lollipops playing the bean bag toss at his schools game night. Later, he gave three to each of his friends. Write

Troyanec [42]

Let y= how many lollipops he has left
Let x= how many friends he has
$y=83-3x$

6 0

3 years ago

Read 2 more answers

The length of a rectangle is 1 foot more than twice the width. If the perimeter is 38

beks73 [17]

Step-by-step explanation:

the answer is in the picture above

6 0

3 years ago