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larisa86 [58]
2 years ago
10

You are considering buying one of two brands of barbecue grills. Brand F costs $650 and will last for about fifteen year

Mathematics
1 answer:
melamori03 [73]2 years ago
5 0

Answer:

the anser is b

Step-by-step explanation:

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Xavier is working two summer jobs, making $14 per hour lifeguarding and $15 per hour tutoring. Xavier must earn at least $170 th
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1 year ago
Alana and two of her friends evenly split the cost of a meal. They determine that each person owes $14.68. How much was the enti
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Answer:

44.04 bucks

Step-by-step explanation:

14.68 times 3 because 1 plus 2 is 3 friends. And 14.68 is how much they EACH paid.

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A cargo ship left port A and is headed across the ocean to shipping port B. After one month, the ship stopped at a refueling sta
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D

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The line 3y+x=25 is a normal to the curve y=x2-5x+k.find the value of constant k.
ladessa [460]

Answer:

k = 11.

Step-by-step explanation:

y = x^2 - 5x + k

dy/dx = 2x - 5 = the slope of the tangent to the curve

The slope of the normal = -1/(2x - 5)

The line  3y + x =25 is normal to the curve so finding its slope:

3y = 25 - x

y = -1/3 x + 25/3 <------- Slope is -1/3

So at the point of intersection with the curve, if the line is normal to the curve:

-1/3 = -1 / (2x - 5)

2x - 5 = 3  giving x = 4.

Substituting for x in y = x^2 - 5x + k:

When x = 4, y =  (4)^2 - 5*4 + k  

y = 16 - 20 + k

so y = k - 4.

From the equation y = -1/3 x + 25/3,  at x = 4

y = (-1/3)*4 + 25/3 = 21/3 = 7.

So y = k - 4 = 7

k = 7 + 4 = 11.

6 0
2 years ago
To estimate the height of a building, a stone is dropped from the top of the building into a pool of water at ground level. The
kupik [55]

Answer:

The height of the building is 153.664 meter.

Step-by-step explanation:

Consider the provided function.

s(t) = 4.9t^2 + v_0 t + s_0

Here t represents the time v₀ represents the initial velocity, s₀ represents the initial height and s(t) represents the height after t seconds.

It is given that the splash is seen 5.6 seconds after the stone is dropped.

That means after 5.6 seconds height s(t) = 0, Also the initial velocity of the stone is 0.

Substitute respective values in the above function.

0 = 4.9(5.6)^2 +5.6(0)+ s_0

0 = 4.9(31.36)+ s_0

s_0=-153.664

As height can't be a negative number so the value of s₀ is 153.664.

Hence, the height of the building is 153.664 meter.

7 0
2 years ago
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