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3 years ago

27. Jennifer wants to simplify the expression (8x - 2). Which is an equivalent expression

Mathematics

2 answers:

Andrews [41]3 years ago

7 0

A 2x-8 that’swhat I thinks

DerKrebs [107]3 years ago

4 0

It's 2x-8 i had this in math yesterday

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Water is added to a cylindrical tank of radius 5 m and height of 10 m at a rate of 100 L/min. Find the rate of change of the wat

nirvana33 [79]

Answer:

$V = \pi r^2 h$

For this case we know that $r=5m$ represent the radius, $h = 10m$ the height and the rate given is:

$\frac{dV}{dt}= \frac{100 L}{min}$

$Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}$

And replacing we got:

$\frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}$

And that represent $0.127 \frac{cm}{min}$

Step-by-step explanation:

For a tank similar to a cylinder the volume is given by:

$V = \pi r^2 h$

For this case we know that $r=5m$ represent the radius, $h = 10m$ the height and the rate given is:

$\frac{dV}{dt}= \frac{100 L}{min}$

For this case we want to find the rate of change of the water level when h =6m so then we can derivate the formula for the volume and we got:

$\frac{dV}{dt}= \pi r^2 \frac{dh}{dt}$

And solving for $\frac{dh}{dt}$ we got:

$\frac{dh}{dt}= \frac{\frac{dV}{dt}}{\pi r^2}$

We need to convert the rate given into m^3/min and we got:

$Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}$

And replacing we got:

$\frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}$

And that represent $0.127 \frac{cm}{min}$

5 0

3 years ago

Wei has $150.00 to make a garland using 60-cent balloons. He wants to purchase 100 blue balloons and some number of white balloo

DaniilM [7]

$149.60 that's what he will have left

6 0

2 years ago

Worth 2 marks and I need it urgently pls

melisa1 [442]

4c6d3 x 3c4d

4 x 3=12
12c
you add the powers so 6+4=10
12c10
d3 x d=d3
12c10d3

that is the answer i think

4 0

3 years ago

Jessica has -$15 dollars in her bank account. Jonathan has less money than Jessica in his bank account. Which value could repres

Radda [10]

Answer:

x∠15 or 15 is greater than x The x being the amount of money Jonathan has in his bank account.

Step-by-step explanation:

Sorry if this is not what you are looking for.

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3 years ago

Which of the following is true about the expression 5 × 1/4

Pepsi [2]

5 * 1/4

5/1 * 1/4

5/4

The expression results in an improper fraction.

4 0

3 years ago