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masha68 [24]
3 years ago
10

The Sugar Sweet Company is going to transport its sugar to market. It will cost $5250 to rent trucks, and it will cost an additi

onal $175 for each ton of sugar transported. Let C represent the total cost (in dollars), and let S represent the amount of sugar (in tons) transported. Write an equation relating C to S, and then graph your equation using the axes below.

Mathematics
1 answer:
jarptica [38.1K]3 years ago
7 0
C(s)=175s+5250

So to graph this you only need two points because it is a linear function and the velocity is constant.

When s=0, c=5250, so you have the point (0, 5250).  The you can just use the next point, (1, 5425).  Now you can connect the two dots and extend as far upward and to the right as necessary.  Do not go to the left and down as negative s values have no meaning to this real world problem as sugar cannot be negatively shipped :P
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I would really appreciate help with the following, along with work shown so I can understand how these were solved.
Alja [10]

First, you have to know the double angle formula:

sin 2A  =  2 sin A cos A

cos 2A  =  cos² A − sin² A  =  2 cos² A − 1  =  1 − 2 sin² A

tan 2A<span> = 2 tan </span>A<span> / (1 − tan² </span>A)


Next, find the other leg: 17^2-15^=64, √64 is 8, so the unknown leg length is 8.

sinα=15/17, cosα=8/17, tanα=15/8

sinβ=8/17, cosβ15/17, tanβ=8/15

Plug these values in the above formula, you'll have your answers.


For the half angles, know the half-angle formula:

sin(B/2) = ± √<span>(1 − cos B)/2</span>

cos(B/2) = ± √<span>(1 + cos B)/2</span>

tan(B/2)  =  (1 − cos B) / sin B<span>  =  sin </span>B<span> / (1 + cos </span>B)

refer to this website for details:

<span>https://brownmath.com/twt/double.htm
</span>


For the power reduction formula, please search for it. I tried to copy and paste here, but it wouldn't paste. 

for number 4, factor the quadratic equation into (cscx-8)(cscx+1)=0

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6 0
3 years ago
On Sunday, Sheldon bought 4 1/2 kg of plant food. He used 1 2/3 kg on his strawberry plants and used 1/4 kg for his tomato plant
VladimirAG [237]

Answer:

a) 2\frac{7}{12} kg of plant food did Sheldon have left.

b) She need is \frac{43}{12} kg and she don't have enough to left.

Step-by-step explanation:

Given : On Sunday, Sheldon bought 4\frac{1}{2} kg of plant food. He used 1\frac{2}{3} kg on his strawberry plants and used \frac{1}{4} kg for his tomato plants.

To find :

a) How many kilograms of plant food did Sheldon have left? Write one or more equations to show how you reached your answer.

Solution :

Sheldon bought plant food 4\frac{1}{2}=\frac{9}{2} kg.

He used strawberry plants 1\frac{2}{3}=\frac{5}{3} kg.

He used tomato plants \frac{1}{4} kg

Kilograms of plant food did Sheldon have left is given by,

L=\frac{9}{2}-(\frac{5}{3}+\frac{1}{4})

L=\frac{9}{2}-\frac{23}{12}

L=\frac{54-23}{12}

L=\frac{31}{12}

L=2\frac{7}{12}

Therefore, 2\frac{7}{12} kg of plant food did Sheldon have left.

b) Sheldon wants to feed his strawberry plants 2 more times and his tomato plants one more time. He will use the same amounts of plant food as before. How much plant food will he need? Does he have enough left to do so?

Solution :

Sheldon wants to feed his strawberry plants 2 more times.

i.e. Strawberry plants used is 2(\frac{5}{3})=\frac{10}{3} kg.

His tomato plants one more time i.e. \frac{1}{4} kg.

Total plant she need is \frac{10}{3}+\frac{1}{4}=\frac{43}{12}

As \frac{31}{12}

No she don't have enough to left.

4 0
3 years ago
Given the dilation rule Do,1/3 (, y)
bearhunter [10]

Answer:

D: (0,3)

Step-by-step explanation:

3 0
3 years ago
Please find the surface area of each figure to the nearest tenth? Please show the work too...
MrRa [10]
The first one is 31.875 and the second is 12 I don't know how to explain to get it. Sorry
7 0
3 years ago
An article retails for 27.50. The city sales tax is 6%, and the federal excise tax is 8%. How much does the article cost altoget
-Dominant- [34]
Cost of the article = $27.50
Amount of city sales tax = (27.50 x 6%) = $1.65
Amount of excise tax = (27.50 x 8%) = $2.20
From my knowledge, we pay city sales tax and federal excise tax when we buy something, so the total cost would be $31.35
5 0
3 years ago
Read 2 more answers
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