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3 years ago

Which list is in descending order?

Mathematics

2 answers:

Kaylis [27]3 years ago

8 0

Answer:

THE FIRST ONE

Step-by-step explanation:

im sure of it if not the go for b or d

Alja [10]3 years ago

6 0

The answer is B because if you convert all of them to decimals you get it in that order.

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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

3 years ago

A group of friends were working on a student film that had a budget of $1300. They used $546 of their budget on props. What perc

Katarina [22]

To find percentage: divide the given value by the total and multiply by 100

546/1300 x 100 = 42%

5 0

2 years ago

How are the two angles below related? A) Drawing not to scale. B) complementary .C) supplementary. D) adjacent. E) vertical

mamaluj [8]

Answer:

Option C) supplementary

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

If two angles are supplementary, then their sum is equal to 180 degrees

In this problem

The measure of angles are

60° and 120°

Their sum is equal to

60° + 120°=180°

therefore

The two angles are supplementary

4 0

3 years ago

PLEASE HELP ME SOLVE THIS QUESTION ASAPPPPPPPPPPP

AveGali [126]

Answer:

Step-by-step explanation:

Volume of the pyramid :

$V=\dfrac{x^2*h}{3} =554.9\\\\x^2*h=554.9*3\\\\h=15.1\\\\x^2*15.1=554.9*3\\\\x^2=\dfrac{554.9*3}{15.1} \\\\x=\sqrt{\dfrac{1664,7}{15.1} } \\\\x=\sqrt{110,24503311258278145695364238411...} \\\\x=10,499763478887644993681148554978...\approx{10.50}$

8 0

3 years ago

Beth won 59 lollipops playing ring toss at her school's game night. Later, she gave three lollipops

JulsSmile [24]

59= 3x +2

57=3x

19=x

Which means she has 19 friends.

7 0

3 years ago