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1 year ago

Hadley paddled a canoe 2/3 mile in 1/4 hour. How fast did Hadley paddle in miles per hour ?

Mathematics

1 answer:

Vitek1552 [10]1 year ago

5 0

Answer:2 2/3 miles per hour

Step-by-step explanation:to get one mile you multiply 1/4 by 4 and to keep 1/4 and 2/3 proportional you also have to multiply 2/3 by 4

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The Naturally Made Bath and Body store pays $550 a month for rent and utilities. The average cost for its products to be manufac

Oksi-84 [34.3K]

The break-even point occurs when the cost function equals the revenue function: 550 + 3.00x = 5.50x
Naturally Made needs to sell 220 products to break even
The cost or revenue when it sells the break-even number of products will be $1,210

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1 year ago

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Approximate the area under the curve y = x² from x = 2 to x = 5 using a Right Endpoint approximation with 6 subdivisions.

Tanzania [10]

Answer:

$\text{Area}\,=36.75$

Step-by-step explanation:

Using right estimation point simply means to form a bunch of rectangles between the two limits, x =2 and x = 5. and add the areas of all those rectangles.

There must be 6 subdivisions between 2 and 5. so, to do that:

$\Delta{x}=\dfrac{5-2}{6}=0.5$

the length of each subdivision is 0.5 units. That also means that the 6 rectangles in between the limits will each have the base length of 0.5 units.

So the endpoints of each subdivision from 3 to 5 will be:

$\begin{tabular}{|c|c|c|c|c|}3&3.5&4&4.5&5\\\end{tabular}$

By right endpoint approx, we mean that the height of the rectangles will be determined by the right endpoint of each subdivision, that is, it must be equal to the function value of the first limit.

$\begin{tabular}{|c|c|c|}subdivision&$x$&height($y=x^2$)&3 to 3.5&3.5&12.25&3.5 to 4&4&16&4 to 4.5&4.5&20.25&4.5 to 5&5&25\end$

Note that we have used the right-end-point of the subdivision to determine the height the rectangles.

All that's left to do now is to simply calculate the areas of the each of the rectangles. And add them up.

the base of each of the rectangle is $\Delta{x}=0.5$

and the height is determined in the table above.

$\text{Area}\,=(0.5\times12.25)+(0.5\times16)+(0.5\times20.25)+(0.5\times25)$

$\text{Area}\,=0.5(12.25+16+20.25+25)$

$\text{Area}\,=36.75$

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1 year ago

The intersection of two planes can be a point.

gregori [183]

No

If two planes intersect each other, the intersection will always be a line. where r 0 r_0 r0 is a point on the line and v is the vector result of the cross product of the normal vectors of the two planes.

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1 year ago

A 12-foot ladder is leaning against a wall. The distance from the base of the wall to the base of the ladder is feet. Given this

kolbaska11 [484]

A Right Angled Triangle is formed.
The ladder represents the longest length in the triangle as it is the Hypotenuse.

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1 year ago

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The following comparative stem-and-leaf plot represents the ages (in years) of the members of two professional basketball teams.

allochka39001 [22]

Team A Team B
8 9 | 1 | 9
0 0 5 9 | 2 | 2 8 8 9
1 2 4 4 | 3 | 0 0 4 5 8 9
0 1 | 4 | 0

Ages of Team A: 18, 19, 20, 20, 25, 29, 31, 32, 34, 34, 40, 41
Ages of Team B: 19, 22, 28, 28, 29, 30, 30, 34, 35, 38, 39, 40

The youngest player is 18 = Team A
The oldest player is 41 = Team A

B. The youngest player is on Team A, and the oldest player is on Team A.

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2 years ago

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