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julia-pushkina [17]
3 years ago
7

What is the distance, in feet, from where debbie and andy are standing to the coral reef?

Mathematics
1 answer:
Gnoma [55]3 years ago
8 0
36 feet + 9 feet
= 45 feet

You are correct! The distance from where Debbie and Andy are standing to the coral reef is 45 feet in total.
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A home gardener estimates that 24 apple trees will have an average yield of 104 apples per tree. But because of the size of the
d1i1m1o1n [39]

Answer:

The farmer should plant 14 additional trees, for maximum yield.

Step-by-step explanation:

Given

Trees = 24

Yield = 104

x \to additional\ trees

So, we have:

Trees = 24 + x

Yield = 104 - 2x

Required

The additional trees to be planted for maximum yield

The function is:

f(x) = Trees * Yield

f(x) = (24 + x) * (104 - 2x)

Open bracket

f(x) = 24 * 104 + 104x - 24 * 2x - x * 2x

f(x) = 2796 + 104x - 48x - 2x^2

f(x) = 2796 + 56x - 2x^2

Rewrite as:

f(x) = - 2x^2 + 56x + 2796

Differentiate

f'(x) = -4x + 56

Equate f'(x) = -4x + 56 to 0 and solve for x to get the maximum of x

-4x + 56 = 0

-4x =- 56

Divide by -4

x =14

The farmer should plant 14 additional trees, for maximum yield.

5 0
3 years ago
Are they congruent? How do you know?
pogonyaev

Answer:

Yes, if you translate either plane, they will end up in the exact location.

5 0
3 years ago
The Length of a rectangle is 5 centimeters less than twice its width . The perimeter of the rectangle is 80cm. What are the dime
borishaifa [10]
Perimeter is the sum of all a shapes sides.

with that in mind, we know a rectangle has four sides. with 2 pairs being the same.

The length as told is, 5 centimeters less than two times the width. Two times the width would be 2w and five less than that would be minus five. so the length is 2w - 5

now to find the perimeter we do two times the width + two times the length.

2w + 2(2w -5) = 80.
Distribute: 2w + 4w - 10 = 80
Add ten to both sides and combine the 2w & 4w:
6w = 90
Divide both sides by 6: w = 15.

with this we know the width is 15. to find length plug in 15 to the 2w - 5 equation.

2(15) - 5 = 30 - 5 = 25.

Slap on the units and width = 15 cm, length = 25 cm


7 0
3 years ago
NEED HELP ASAP. please do not answer if you won’t help. If three resistors with resistances R1,R2,R3, are connected in parallel
ANEK [815]
1/(1/R1 + 1/R2 + 1/R3)
= 1/ (R2R3 + R1R3 + R1R2)/R1R2R3
= R1R2R3/ (R2R3 + R1R3 + R1R2)
3 0
3 years ago
Suppose f(x) and g(x) are differentiable functions satisfying f(1) = f′(1) = 2. Let
just olya [345]

Answer:

1777777777888876332222233

3 0
1 year ago
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