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3 years ago

What is 6.48 round to the nearest tenth

Mathematics

1 answer:

lawyer [7]3 years ago

8 0

Answer:

6.5

Step-by-step explanation:

To round 6.48 to nearest tenth means to round the numbers so you only have one digit in the fractional part.

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Can someone pls help lol I rlly do need help on this :)

Fittoniya [83]

Answer:

a+51=90

a+51+90=180

Step-by-step explanation:

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3 years ago

If your dogs heart rate is 90 times per minute how many times would it beat in an hour?

Inga [223]

Answer:5400

Step-by-step explanation: 1 hour is 60 minutes, so 90 * 60 = 5400

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3 years ago

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What is the first number in 6523÷7?

BabaBlast [244]

931 is the frst number and the rest ar decimals ie 931.857142.......

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3 years ago

Choose the appropriate algebraic expression from the following verbal phrase: The quotient of y and the sum of x and 5.

bearhunter [10]

1/y + (x+5) Hope this helps!

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3 years ago

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