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ad-work [718]
3 years ago
8

The water level of a reservoir is 340 feet and that it is receding at a rate of 0.5 foot per day. In how many days will the wate

r level be 26 feet?
Mathematics
1 answer:
NeTakaya3 years ago
5 0

Answer:

16 days

Step-by-step explanation:

the answer to your question is https://www.algebra.com/algebra/homework/word/evaluation/Evaluation_Word_Problems.faq.question.550994.amp

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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
5 x {3 x [9 - (4 + 1)]} + 20 ÷ 4 x 2 =
adell [148]
To solve a problem like this, we need to start with the innermost parenthesis. Doing that, we get to 4+1, evaluating it giving us 5. This turns our expression into 5 x {3 x [9 - 5]} + 20 ÷ 4 x 2.



Now, the innermost parenthesis is 9-5. Evaluating that gives us 4. Our expression is now 5 x {3 x 4} + 20 ÷ 4 x 2.



Once again, we go to the innermost parenthesis and evaluate whatever is there. This turns our expression into <span>5 x 12 + 20 ÷ 4 x 2.



Now, we can simply use order of operations to compute that the value of the expression is equal to 70. </span>
7 0
3 years ago
Read 2 more answers
Marcia has a licorice rope that is 28 inches long. She wants to cut it into 3,-inch pieces to share with friends. How many piece
diamong [38]

Answer:

9 pieces

Step-by-step explanation:

28 inches rope cut into 3-inch pieces

  • 28/3 = 9 1/3

There is no matching answer choice, if given numbers are correct then the answer is 9 full pieces

---------

<u>Note:</u>

  • The close answer choice is 8
  • 28/8 = 3 1/2 or 3.5
  • So if cut into 3.5 inch pieces then it is 8 full pieces
  • just in case it was typo 3 instead of 3.5
8 0
3 years ago
Read 2 more answers
Solve the system of equations
Llana [10]
Because both answers equal y, we can set them equal to each other. So, -8x=-5x-9. Add five over to get -3x=-9. Divide and x=3. Then plug 3 in to solve for y. -8(3)=24. The ordered pair is (3,24).
5 0
3 years ago
Which relation is a function?
Doss [256]

Answer:

B

Step-by-step explanation:

All functions have y with a power of 1.

option B. is the only one where y has a power of 1.

5 0
3 years ago
Read 2 more answers
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