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3 years ago

Help#2 and if u can see #1 too

Mathematics

2 answers:

densk [106]3 years ago

8 0

1.) C: 14<span>°F
2.) B: -22</span><span>°F</span>

lora16 [44]3 years ago

3 0

For Number 1 it would be:
C. 14°f

For Number it would be:
B. -22°f

I hope this Helps! :)

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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

N Squared - N = 90<br> N =?

mariarad [96]

N^2 - n = 90
n^2 - n - 90 = 0
(n - 10)(n + 9) = 0

n - 10 = 0
n = 10

n + 9 = 0
n = -9

answer is : n = 10 and n = -9

3 0

2 years ago

A number t multiplied by -4 is at least -2 over 5

harina [27]

Answer:

t≤ 8/5

Step-by-step explanation:

-4t≥-2/5 (at last means greater than or equal to }

multiplying by -1

when we multiply or divide by negative number sign of inequality changes

4t≤2/5

t≤4(2/5)

t≤ 8/5

3 0

3 years ago

Im in dyer need of how to solve these problems

melisa1 [442]

#4)
{ A}
Triangle ABC is congruent to triangle YXZ. How do I know this?
Look at the angles and adjacent (bottom) line.
Because Angle A and Angle Y are both equal to (what I believe says) 78 degrees, they are equal.
Next, Angle B is equal to Angle X because it is the angle that connects the adjacent (bottom) line and the hypotenuse (top line). Even though they have no measurements or tick marks, it's the process of elimination.
Finally, Angle C and Angle Z. We know that these are equal do to their degree similarity of (what I think is) 65.

{B} Triangle ABC is congruent to Triangle RSQ. How do I know this?
Because Angle A is congruent to the only other angle there, Angle R.
Next, B and S are congruent. If you think of them as angles, then you can see that "angle" b is connected to the leg of AB and BC. AC has one tick mark, as does RS. BC has no tick or anything to note it's congruence. So because Point be is stick in between a leg with one tick and one leg with no tick, look for the similarity in triangle RSQ. The similarity showing as S. You should understand enough now to know how I got how C and P are congruent.

#5) Sadly I cannot read the diagram they provide, so I cannot help with it.

#6) The length of BC: ? The length of XZ: ? Measure of Angle BZX: 55 degrees.

5 0

3 years ago

Please help me with this

mariarad [96]

Answer:

Easy, 15

Step-by-step explanation:

5 0

3 years ago