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lianna [129]
2 years ago
8

Cal's go cart has a gas tank with the dimensions shown below. He uses a gas can that holds 111 liter of gas, to fill the go cart

tank. 111 liter = 1000\text{ cm}^31000 cm 3 1000, start text, space, c, m, end text, cubed
Mathematics
2 answers:
Advocard [28]2 years ago
7 0

Answer:

8

Step-by-step explanation:

Soloha48 [4]2 years ago
4 0

Answer:

8

Step-by-step explanation:i got it wrong to see what the answer was :)

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Noah is helping to collect the entry fees at his school's sports game. Student entry costs $2.75 each and adult entry costs $5.2
Doss [256]

Answer:

sry i dont know the answer, but i hope u find one! happy holidays!

Step-by-step explanation:

5 0
3 years ago
The cost, C, to produce b baseball bats per day is modeled by the function C(b) = 0.06b2 – 7.2b + 390. What number of bats shoul
kozerog [31]

Check the picture below, that's just an example of a parabola opening upwards.

so the cost equation C(b), which is a quadratic with a positive leading term's coefficient, has the graph of a parabola like the one in the picture, so the cost goes down and down and down, reaches the vertex or namely the minimum, and then goes back up.

bearing in mind that the quantity will be on the x-axis and the cost amount is over the y-axis, what are the coordinates of the vertex of this parabola?  namely, at what cost for how many bats?

\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ C(b) = \stackrel{\stackrel{a}{\downarrow }}{0.06}b^2\stackrel{\stackrel{b}{\downarrow }}{-7.2}b\stackrel{\stackrel{c}{\downarrow }}{+390} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)

\bf \left( -\cfrac{-7.2}{2(0.06)}~~,~~390-\cfrac{(-7.2)^2}{4(0.06)} \right)\implies (60~~,~~390-216) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ ~\hfill (\stackrel{\textit{number of bats}}{60}~~,~~\stackrel{\textit{total cost}}{174})~\hfill

6 0
3 years ago
Kevin buys four folding chlairs. Beach chair costs $13.50. the sales tax is 6.5%. what is the amount of sales tax for Kevin's pu
frozen [14]

Answer:

Amount of sales tax = $3.51

Step-by-step explanation:

$13.50 x 4 = $54

convert 6.5% to 0.065 ===> 6.5/100 = 0.065

$54 x 0.065 = $3.51

4 0
3 years ago
Pls help. It would mean a lot :)))
FromTheMoon [43]

Answer: 15

Step-by-step explanation:

20/8=2.5

6*2.5=15

6 0
2 years ago
Given the set points K+1:(-1,8),(1,0) and (2,5), find the quadratic polynomial interpolate
Sauron [17]

Answer:

The interpolating polynomial is p(x) = 1-4x+3x^2.

Step-by-step explanation:

We want to find a quadratic polynomial p(x) such that p(-1)=8, p(1)=0 and p(2)=5. In order to do this let us write p(x) = a_0+a_1x+a_3x^2.

Now, evaluating the polynomial in the points -1, 1 and 2 we get

\begin{cases} 8 = p(-1) &= a_0-a_1+a_2\\ 0 = p(1) &= a_0+a_1+a_2\\ 5 = p(2) &= a_0+2a_1+4a_2\end{cases}

This relations give us a linear system of equations:

\begin{cases} 8 &= a_0-a_1+a_2\\ 0 &= a_0+a_1+a_2\\ 5&= a_0+2a_1+4a_2\end{cases}

where the a_0, a_1 and a_2 are the unknowns.

The augmented matrix of the system is

\begin{pmatrix}1 & -1 & 1 & 8\\ 1 & 1 & 1 & 0\\ 1 & 2 & 4 & 5\end{pmatrix}

In this matrix it is easy to eliminate the 1's of the first column and get

\begin{pmatrix} 1 & -1 & 1 & 8\\ 0 & 2 & 0 & -8\\ 0 & 3 & 3 & -3\end{pmatrix}

From this matrix we can find the values of each unknown. Notice that the second row gives us 2a_2=-8 that yields a_1=-4.

Then, the third row means 3a_1+3a_2=-3 that gives -12+3a_2=-3. So, a_2=3.

Finally, the first row is a_0-a_1+a_2=8 and substituting is a_0+7=8 that yields a_0=1.

Therefore, the interpolating polynomial is

p(x) = 1-4x+3x^2.

8 0
3 years ago
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