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2 years ago

Find the slope (m) and y-intercept (b) of each representation be

Mathematics

1 answer:

scoray [572]2 years ago

5 0

Answer:

m= -2

b = 3

Step-by-step explanation:

Take two points from line.

(0,3) and (1,1)

now slope(m) = (1-3)/(1-0)

m = -2

now

y = mx+b

or, 3 = -2×0+b

or, 3 = 0+b

so, b = 3

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A silo is not the shape of a cone. The silo is 8 meters tall and it's base has a diameter of 3 meters. Soybeans cost $414 per cu

Gnom [1K]

Answer:

$7803.72

Step-by-step explanation:

We have been given that a silo is in the shape of a cone. The silo is 8 meters tall and it's base has a diameter of 3 meters. Soybeans cost $414 per cubic meter. We are asked to find the total cost to fill the silo with soybeans.

First of all, we will find the volume of silo using volume of cone formula.

$\text{Volume of cone}=\frac{1}{3}\pi r^2 h$ , where,

r = radius

h = Height

We know that radius is half the diameter, so radius of silo would be $r=\frac{3}{2}=1.5$ .

$\text{Volume of cone}=\frac{1}{3}\pi (1.5\text{ m})^2 (8)\text{ m}$

$\text{Volume of cone}=\frac{1}{3}\pi\times 2.25\text{ m}^2 (8)\text{ m}$

$\text{Volume of cone}=\pi\times 0.75\text{ m}^2 (8)\text{ m}$

$\text{Volume of cone}=\pi\times 6\text{ m}^3$

$\text{Volume of cone}=18.8495559\text{ m}^3$

Now we will multiply total volume by $414 to find total cost.\

$\text{Total cost of soybeans}=\$414 \times 18.8495559$

$\text{Total cost of soybeans}=\$7803.7161426$

$\text{Total cost of soybeans}\approx \$7803.72$

Therefore, it will cost $7803.72 to fill the silo with soybeans.

5 0

2 years ago

P2 + 14p + 40 written as a binomial

BartSMP [9]

P² + 14p + 40
= p² + 10p + 4p + 40
= p(p+10) + 4(p+10)
= (p+10)(p+4)

7 0

3 years ago

Please HELP!<br><br> 1) Enter 6/12 in simplest form.<br><br> 2) Enter 18/21 in simplest form.

scoray [572]

1) 1/2

2) 3/7
that is the answer

6 0

3 years ago

Read 2 more answers

How do you round to the nearest ten thousandth?

Airida [17]

Answer:

You round the number closest to it like.

Step-by-step explanation:

Lets say

1.2045

Sinces its 5 round the four.

Hope this helps

8 0

3 years ago

Read 2 more answers

What is the first step needed to solve 3 over 4 multiplied by x minus 3 equals negative 18?

NemiM [27]

My answer would be to add 3 to both sides

8 0

3 years ago