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fiasKO [112]
2 years ago
10

A pharmacist put 2.415 ounces of vitamin pills into bottles. She put 0.023 ounces of vitamin

Mathematics
2 answers:
noname [10]2 years ago
7 0
105 bottles should be the right answer!!
Lelu [443]2 years ago
4 0

Answer: 105 bottles

Step-by-step explanation: You divide the amount used and how much was in each one. :)

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! EASY & CORRECT ANSWER GETS BRAINLIST!
baherus [9]

Answer:

11 = Y+5

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
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.

<h2>Why?</h2>

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
Help please this is due tonight
Keith_Richards [23]
ANSWER:
x=5

ok so
2x+3=4x-7
+7 +7
2x+10=4x
-2x -2x
10=2x
--- ----
2 2

x= 5
8 0
3 years ago
Order from least to greatest 1/8,-3/16,-1/4,1/32,5/32,-1/16
jasenka [17]

Answer

-1/4

-3/16

-1/16

1/32

1/8

5/32

3 0
3 years ago
Use a graphing calculator to solve the system of linear equations. 2.1x+4.2y=14.7 −5.7x−1.9y=−11.4
tia_tia [17]

I used my calculator and got x=1 y=3

solve for y to put them in your calculator

2.1x+4.2y=14.7

y = (14.7 -2.1x)/4.2


−5.7x−1.9y=−11.4

y=(-11.4 +5.7x)/(-1.9)

then using the ploting tool I plotted them and found where they intersected

3 0
3 years ago
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