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Novay_Z [31]
2 years ago
9

Solve 4|x + 5| + 8 = 24.

Mathematics
1 answer:
KIM [24]2 years ago
6 0
Your answer would be C
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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
3 years ago
Suppose that poaching reduces the population of an endangered animal by 6​% per year. Further suppose that when the population o
artcher [175]

If poaching reduces the population of an endangered animal by 6% and the criteria of population extinction is 20 with present population 1500 then it will take 3.62 years to reach to the mark of extinction.

Given Poaching reduces the population of endangered animals by 6% per year. The criteria of population extinction is 20. Present population being 1500.

Number of years taken by the population of endangered animals to reach to 20 mark can be calculated as under:

20=1500*(1-0.06)^{n}

20=1500*0.94^{n}

20/1500=0.94^{n}

0.133=0.94^{n}

take log both sides

log(0.133)=log0.94^{n}-------1

log(0.133)=nlog (0.94)

put the values log values:

log(0.133)=-0.8761

log(0.94)=-0.0268

Taking 1

-0.8761=n*(-0.0268)

n=0.8761/0.0268

n=3.269

Hence to reach level of 20 the population takes 3.2 years.

Learn more about logarithm at brainly.com/question/25710806

#SPJ10

8 0
1 year ago
They building in the city has a rectangular base. The length of the base measures 60 ft less than twice the width. The perimeter
wariber [46]

Answer: the length of the base is 290ft

The width of the base is 175 ft

Step-by-step explanation:

The base of the building is rectangular in shape.

Let L represent the length of the base of the building.

Let W represent the width of the base of the building.

The length of the base measures 60 ft less than twice the width. This means that

L = 2W - 60 - - - - - - - - -1

The perimeter of a rectangle is expressed as 2(length + width).

The perimeter of this base is 930ft. It means that

2(L + W) = 930

L + W = 930/2 = 465- - - - - - 2

Substituting equation 1 into equation 2 , it becomes

2W - 60 + W = 465

3W = 465 + 60 = 525

W = 525/3 = 175

L = 465 - W = 465 - 175

L = 290

4 0
3 years ago
Can someone PLEASE help me with this question?
disa [49]

9514 1404 393

Answer:

  11

Step-by-step explanation:

The future value of the account is given by the formula ...

  A = P(1 +r/12)^(12t) . . . . principal P invested at rate r for t years

Solving for t, we find ...

  A/P = (1 +r/12)^(12t) . . . . . . . . . . . divide by P

  log(A/P) = 12t·log(1 +r/12) . . . . . . take logs

Divide by the coefficient of t, then fill in the numbers.

  t = log(A/P)/(12·log(1 +r/12)) = log(202800/93000)/(12·log(1 +.068/12))

  t ≈ 11.497

It will take about 11 years for the account balance to reach the desired amount.

4 0
2 years ago
Simplify the following math expression: 5+4(6-3)+4/2
lesantik [10]

Answer:

29

you have to solve the brackets first(6-3=3)

Then solve the division (4/2=2)

lastly the addition (5+4=9)

so we have 9×3=27

27+2=29.

3 0
2 years ago
Read 2 more answers
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