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SashulF
22 days ago
7

Which statement about the lines below is true?

Mathematics
1 answer:
tester [8.8K]22 days ago
4 0
I affirm that all of these statements are correct.
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John needs 13 bottles of water from the store. john can only carry 3 at a time. what's the minimum number of trips john needs to
Inessa [9000]
The smallest number of trips he must make is 5. Since he can carry only 3 bottles per trip, 5 trips would allow him to transport 15 bottles.
Though it might seem like 4 trips could suffice, as 4 times 3 is 12, that's one bottle short of 13.
Hence, an additional trip is needed to carry the last bottle, totaling 5 trips.
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1 month ago
A church has 8 bells in its bell tower. Before each church service 5 bells are rung in sequence. No bell is rung more than once.
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Utilize the! operation to determine the count of combinations.

8!/5! = 40,320/120 = 336
8 0
1 month ago
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How much profit was generated by the sales of gold label and black label combined?
lawyer [9240]
The profit produced by combining sales of gold label and black label equals the total of their individual profits. From the table \begin{array}{ccc}&\text{Number of bottles sold}&\text{Average profit (per bottle)}\\\text{Gold label}&1,000&\$2.75\end{array} you find the gold label's profit 1,000\cdot \$2.75=\$2,750. and similarly from another table \begin{array}{ccc}&\text{Number of bottles sold}&\text{Average profit (per bottle)}\\\text{Black label}&2,000&\$1.50\end{array} find the black label's profit 2,000\cdot \$1.50=\$3,000.. Adding these yields \$2,750+\$3,000=\$5,750.. Thus, option 5 is the correct choice.
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The profit function P(x), revenue function, R(x), and cost function, C(x), are related by the equation P(x) = R(x) – C(x). Andre
Svet_ta [9500]

Answer: 8x - 1200

Step-by-step explanation: I solved the problem

3 0
14 days ago
Let P be a point not on the line L that passes through the points Q and R. The distance d from the point P to the line L is d =
AnnZ [9099]

Answer:

The distance from the point (0,1,1) to the specified line is zero.

Step-by-step explanation:

Considering the parametric equations of the line,

x=2t, y=5-2t, z=1+t

In order to calculate the distance from (0,1,1), we must remove t from the equations above, such that

y=5-2t=5-x\implies x+y=5=4+1=4+z-t=4+z-\frac{1}{2}x

\implies 3x+2y-2z-8=0\hfill (1)

whose direction ratios are (l,m,n)=(3,2,-2) and the distance from point (a,b,c)=(0,1,1) is defined as

\frac{al+bm+cn}{\sqrt{l62+m^2+n^2}}=\frac{(3\times 0)+(2\times 1)+(-2)(1)}{\sqrt{3^2+2^2+(-2)^2}}=\frac{0+2-2}{\sqrt{17}}=0

The distance between the point (0,1,1) and (1) amounts to zero. Therefore, the point (0,1,1) is located on the line (1).

8 0
13 days ago
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