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o-na [289]
3 years ago
15

A shipping container will be used to transport several 150-kilogram crates across the country by rail. The greatest weight that

can be loaded into the container is 23000 kilograms. Other shipments weighing 13700 kilograms have already been loaded into the container. Use the drop-down menu below to write an inequality representing cc, the total number of 150-kilogram crates that can be loaded into the shipping container.
Mathematics
1 answer:
Sphinxa [80]3 years ago
8 0

Answer:

150c + 13,700 < 23,000

Step-by-step explanation:

Greatest weight that can be loaded into the container = 23,000 kilograms

Weight of each crate = 150 kilogram

Weight of other shipment = 13,700 kilograms

c = total number of 150-kilogram crates that can be loaded

This can be represented by the inequality:

150c + 13,700 < 23,000

That is, Weight of each crate multiplied by total number of 150-kilogram crates that can be loaded Plus Weight of other shipment less than greatest weight that can be loaded into the container

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A sphere has a radius of 6 inches. What is the volume of the sphere in terms of π? V = π in.3
Harrizon [31]

Answer: 288pi in3

Step-by-step explanation:

Volume of a sphere= 4/3pir^3

R=6inches

V=4/3pir^3

V=4/3pi(6^3)

V=4/3pi(216)

V=864pi/3

V=288pi in^3

5 0
3 years ago
Read 2 more answers
Use the given information to write the equation of the parabola.
m_a_m_a [10]

Answer:

x² = -2y

Step-by-step explanation:

The focus is p away from the vertex, and so is the directrix.

To find the equation of the parabola, we must first determine if the parabola is horizontal or vertical.

  • Horizontal parabola [Standard form]: (y – k)² = 4p(x – h)
  • Vertical parabola [Standard form]: (x – h)² = 4p(y – k)

If the parabola is vertical, the directrix, and focus will have the same x value but different y value compared to the vertex (h, k). You can also tell if the directrix in in the form y = k – p, and if the focus is in the form (h, k + p).

Likewise, if the parabola is horizontal, the directrix, and focus will have the same y value but different x value compared to the vertex (h,k) . You can also tell if the directrix is in the form x = h – p, and if the focus is in the form (h + p, k).

For this problem, given that the vertex is at the origin (0,0), and that the focus is at the point (0, -½).

You can tell that the x value is the same for the vertex, and focus so this must be a vertical parabola. Because this is a vertical parabola, we can use the form mentioned as earlier (x – h)² = 4p(y – k).

If h = 0, and k = 0, the p value must be the difference between the k of the vertex, and the k of the focus: -½ - 0 → -½.

Now we can just plug in our known information to derive the equation!

h = 0, k = 0, p = -½ → (x - h)² = 4p(y - k) →

(x - 0)² = 4(-½)(y - 0) → x² = -2(y - 0) →

x² = -2y.

Also p = 1/4a, if you are wondering.

So because this is a vertical parabola, x² = -2y is generally the same as y = -1/2x² in standard quadratic form. I just like to think of the horizontal parabola as an inverse quadratic because it is like reflecting over the line y = x.

8 0
3 years ago
Read 2 more answers
Sammy Sales had the following receipts for his tree trimming business for the first six months of the year. What is the average
fredd [130]

average =  \frac{sum \:  \: of \:  \:all \:  \:  obeservations}{no. \:  \: of \: observaions}

=  \frac{1205 + 1450 + 1530 + 1655 + 1610 + 1710}{6}

=  \frac{9160}{6}

=  1526.66

___________________________________________

1526.66 is the average of his sales for this period.

6 0
3 years ago
What is (6 + 3e)4 - 5e and 3(x - 5) + 7(x + 2) ?
Dafna11 [192]

idk lol use photomath

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3 years ago
4% of what days is 56 days
leva [86]
The answer would be 14 because 4x__=56 ? 4 x14 =56
6 0
3 years ago
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