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Bumek [7]
3 years ago
10

A truck whose bed is 2.5m long,1.5m, and 1.0 m high is delivering sand for a sand sculpture competition.About how many trips mus

t the truck make to deliver 7m of sand
Mathematics
1 answer:
serg [7]3 years ago
5 0

The volume of the bed of the truck is 2.5 x 1.5 x 1.0 = 3.75 cubic meters.

total trips = 7 / 3.75 = 1.87, round up to 2.

They will need to make 2 trips.

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Step-by-step explanation:

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Given function is

f(x)=\left\{\begin{matrix}3x+k & x\leq -4 \\ kx^2-5 & x> -4\end{matrix}\right.

now we need to find the value of k such that function f(x) continuous everywhere.

We know that any function f(x) is continuous at point x=a if left hand limit and right hand limits at the point x=a are equal.

So we just need to find both left and right hand limits then set equal to each other to find the value of k

To find the left hand limit (LHD) we plug x=-4 into 3x+k

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Now set both equal

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16k-5=-12+k

16k-k=-12+5

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k=-\frac{7}{15}

k=-0.47

<u>Hence final answer is -0.47.</u>




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