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

Mathematics

2 answers:

Natali [406]3 years ago

7 0

Answer:

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:

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)

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3 years ago

Read 2 more answers

For which value of x is the equation 4x + 24 = 8x + 2x true?

andrew-mc [135]

Answer:

$x=4$