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Mnenie [13.5K]
3 years ago
10

I WILL GIVE BRAINLYEST iF YOU ANSWER CORRECTLY 6÷3+9^2-4

Mathematics
2 answers:
Natali [406]3 years ago
7 0

Answer:

79

Step-by-step explanation:

i am 100% sure that it's correct

avanturin [10]3 years ago
4 0

Answer:

the answer is 79

Step-by-step explanation:

hope this helps

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A tank contains 30 lb of salt dissolved in 300 gallons of water. a brine solution is pumped into the tank at a rate of 3 gal/min
sesenic [268]
A'(t)=(\text{flow rate in})(\text{inflow concentration})-(\text{flow rate out})(\text{outflow concentration})
\implies A'(t)=\dfrac{3\text{ gal}}{1\text{ min}}\cdot\left(2+\sin\dfrac t4\right)\dfrac{\text{lb}}{\text{gal}}-\dfrac{3\text{ gal}}{1\text{ min}}\cdot\dfrac{A(t)\text{ lb}}{300+(3-3)t\text{ gal}}
A'(t)+\dfrac1{100}A(t)=6+3\sin\dfrac t4

We're given that A(0)=30. Multiply both sides by the integrating factor e^{t/100}, then

e^{t/100}A'(t)+\dfrac1{100}e^{t/100}A(t)=6e^{t/100}+3e^{t/100}\sin\dfrac t4
\left(e^{t/100}A(t)\right)'=6e^{t/100}+3e^{t/100}\sin\dfrac t4
e^{t/100}A(t)=600e^{t/100}-\dfrac{150}{313}e^{t/100}\left(25\cos\dfrac t4-\sin\dfrac t4\right)+C
A(t)=600-\dfrac{150}{313}\left(25\cos\dfrac t4-\sin\dfrac t4\right)+Ce^{-t/100}

Given that A(0)=30, we have

30=600-\dfrac{150}{313}\cdot25+C\implies C=-\dfrac{174660}{313}\approx-558.02

so the amount of salt in the tank at time t is

A(t)\approx600-\dfrac{150}{313}\left(25\cos\dfrac t4-\sin\dfrac t4\right)-558.02e^{-t/100}
3 0
3 years ago
Given the following coordinates for triangle ABC: A(1, 1), B(4,1) and C(1,7),
AfilCa [17]

Answer:

C

Step-by-step explanation:

6 0
3 years ago
Please help I will mark BRAINLIST
Ann [662]
Mean=8.1 (add all numbers and divide by how many there r)
Median=9.25 (place all numbers in a chronological line and find the middle value)
Mode=9.2 (value that appears the most)
Range=10.5 (10.5-0)
4 0
3 years ago
Read 2 more answers
For which value of x is the equation 4x + 24 = 8x + 2x true?
andrew-mc [135]

Answer:

x=4

Step-by-step explanation:

4x+24=8x+2x

We'll combine the 8x and the 2x on the right side.

4x+24=10x

Now, we'll subtract 4x from both sides.

24=6x

Divide both sides by 6.

4=x

Ta-da!

8 0
3 years ago
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What is the result when the following equation is solved?
amm1812

Answer:

Step-by-step explanation:

4/5x = 1

4x = 5

x = 5/4

solution is c

8 0
4 years ago
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