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kipiarov [429]
3 years ago
15

Jim and his dad are building a rectangular flower bed. They have a total of 35 feet of landscaping timber to use, and they want

to use all of it. However, they are not sure what width and length they want the flower bed to be. In this activity, you will write a function in which the width of the flower bed, w, is the input, and the length, l, is the output. The perimeter of a rectangle is given by the equation 2l + 2w = p. Part A Jim and his dad want to find the length of the garden once they decide its width. Use function notation to write a function that represents its length in terms of the width.
Mathematics
2 answers:
Akimi4 [234]3 years ago
6 0
The perimeter is 35 hope it helps
Mama L [17]3 years ago
4 0
The perimeter is 35.  If we were to change the width, which is one of the dimensions of the flower bed, The perimeter will change.  This means that perimeter will no longer be 35.  So in order to keep the perimeter as it is, if we change one dimension, we must also change the other. Let's solve for the length, using the formula to see how much the length changes from. p = 2l + 2w 35 = 2l + 2(15) 35 = 2l + 30 5 = 2l 2.5 = l  We must increase the length from 2.5 feet.  This is because decreasing one dimension will decrease the perimeter.  But if we increase the other dimension as well, it will restore the perimeter to where is was initially.
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Ghella [55]

Answer:

Check the explanation

Step-by-step explanation:

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7 0
3 years ago
Apopulation grows from its initial levelof 22,000 at a continuous growth rcte of 7.1% per year.a) Write a function to model the
solong [7]

Answer:

a) P(t) = 22000(1.071)^{t}

b) The population increases 7.1% each year.

Step-by-step explanation:

The continuous population growth model is given by:

P(t) = P_{0}(1+r)^{t}

In which P(t) is the population after t years, P_{0} is the initial population and r is the growth rate.

In this problem, we have that:

A population grows from its initial levelof 22,000 at a continuous growth rcte of 7.1% per year.

This means that P_{0} = 22000, r = 0.071

a) Write a function to model the population increase.

P(t) = 22000(1 + 0.071)~{t}

P(t) = 22000(1.071)^{t}

b) By what percent does the populaiion increase each year?

r = 0.071

So the population increases 7.1% each year.

6 0
3 years ago
PQR has two known interior angles of 34°, and 80°. △RST has two known interior angles of 24°, and 90°. What can be determined ab
Shalnov [3]

Answer:

△PQR and △RST are not similar.

Step-by-step explanation:

In triangle △PQR, two known interior angles are 34° and 80°. So the measure of third angle is

180-34-80=66

In triangle △RST, two known interior angles are 24° and 90°.

180-24-90=66

Two triangles are similar if their corresponding angles are same and the corresponding sides are proportional.

Since the angles of △PQR and △RST are not same, therefore we can say that the △PQR and △RST are not similar.

8 0
3 years ago
Drag each pair of equations to show if the system has no solutions, one solution, or infinitely many solutions.
Vsevolod [243]

Remark

Please number your pairs of equations going from left to right. The pair on the extreme left is (1) and the pair on the extreme right is (5).


(1)

If you multiply to top member of the pair by 2, you will get the bottom equation of the pair. What that tells you is that there are many (infinite) numbers of solutions.

(y = 3x + 4) * 2 remove the brackets.

2y = 6x + 8 Exactly the same equation as the bottom one = infinite solutions.


(2)

If the slopes are the same (both are -1) and the y intercepts are different (0,-2) and (0,-6) then the lines are parallel (they never meet) and have no solutions.


(3)

If the slopes are different, there is one solution. (9 and 1) There is one solution.


(4)

Four gives 1 solution as well at 0,0. That is because the slopes are different.


(5)

trick question. the slopes are quite different. one is 0 and the other is undefined. They meet at one point.(-6,-3). I solution.

4 0
4 years ago
Guys, I need the answer, please
Nuetrik [128]

Answer:

6.28

Step-by-step explanation:

Find the diameter by multiplying the radius by 2, then multiply the diameter by Pi, which in your case is 3.14

R times 2= diameter

D time Pi= area

Area = 6.28

Please mark Brainliest

3 0
2 years ago
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