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3 years ago

What is 6x-2y=30 equal to and what is its x intercept

1 answer:

3 0

You can divide it on 2 and it will still be the same
3x-y=15 is equal to 6x-2y=30
So; the answer is: 3x-y=15
its x intercept dividing on 3.

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If a factory continuously dumps pollutants into a river at the rate of the quotient of the square root of t and 45 tons per day,

julsineya [31]

<h2>Hello!</h2>

The answer is:

The first option, the amount dumped after 5 days is 0.166 tons.

To solve the problem, we need to integrate the given expression and evaluate using the given time.

So, integrating we have:

$\int\limits^5_0 {\frac{\sqrt{t} }{45} } \, dt=\int\limits^5_0 {\frac{1}{45} (t)^{\frac{1}{2} } } \, dt\\\\\int\limits^5_0 {\frac{1}{45} (t)^{\frac{1}{2} } } \ dt=\frac{1}{45}\int\limits^5_0 {t^{\frac{1}{2} } } } \ dt\\\\\frac{1}{45}\int\limits^5_0 {t^{\frac{1}{2} } } } \ dt=(\frac{1}{45}*\frac{t^{\frac{1}{2}+1} }{\frac{1}{2} +1})/t(5)-t(0)\\\\(\frac{1}{45}*\frac{t^{\frac{1}{2}+1} }{\frac{1}{2} +1})/t(5)-t(0)=(\frac{1}{45}*\frac{t^{\frac{3}{2}} }{\frac{3}{2}})/t(5)-t(0)$

$(\frac{1}{45}*\frac{t^{\frac{3}{2}} }{\frac{3}{2}})/t(5)-t(0)=(\frac{1}{45}*\frac{2}{3}*t^{\frac{3}{2} })/t(5)-t(0)\\\\(\frac{1}{45}*\frac{2}{3}*t^{\frac{3}{2} })/t(5)-t(0)=(\frac{2}{135}*t^{\frac{3}{2}})/t(5)-t(0)\\\\(\frac{2}{135}*t^{\frac{3}{2}})/t(5)-t(0)=(\frac{2}{135}*5^{\frac{3}{2}})-(\frac{2}{135}*0^{\frac{3}{2}})\\\\(\frac{2}{135}*5^{\frac{3}{2}})-(\frac{2}{135}*0^{\frac{3}{2}})=\frac{2}{135}*11.18-0=0.1656=0.166$

Hence, we have that the amount dumped after 5 days is 0.166 tons.

Have a nice day!

5 0

3 years ago

Total health care costs in the United States in 2003 were $2,000,000,000,000. Express this number in scientific notation.

Elan Coil [88]

2^12 power please give me stars and points

5 0

3 years ago

Select the correct answer.<br> Identify the axis of symmetry of the function graphed below.

Nady [450]

Answer:

D. x = -1.

Step-by-step explanation:

I have attached an explanation to your problem. Please see the attachment below.

3 0

3 years ago

Read 2 more answers

Neighborhood block:

katen-ka-za [31]

Answer:

<u>The width of the neighborhood block is 0.05 or 1/20 miles</u>

Step-by-step explanation:

1. Let's review the information given to us to answer the question correctly:

Number of times Bijan run around the neighborhood block = 20

Total distance Bijan run = 8 miles

Length of the block = 3/20 = 0.15 miles

2. Use the formula for the perimeter of the neighborhood block and the reciprocal to find the width w of the city block.

Let's find the perimeter of the neighborhood block and the width, this way:

A. Rule of Three Direct for find the perimeter:

Laps Distance

20 8 miles

1 x miles

x * 20 = 8

20x = 8

x = 8/20

x = 2/5 or 0.4 miles

B. Formula of the perimeter to find the width

Perimeter = 2 Length + 2 Width

Replacing with the real values we know:

0.4 = 2 * 0.15 + 2w

0.4 = 0.3 + 2w

0.4 - 0.3 = 2w

0.1 = 2w

w = 0.1/2

w = 0.05 miles

<u>The width of the neighborhood block is 0.05 or 1/20 miles</u>

8 0

3 years ago

Read 2 more answers

Identify the kind of sample that is described

ELEN [110]

Answer:

Cluster sampling

Step-by-step explanation:

Choosing groups and sampling whole group.

5 0

2 years ago