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Bond [772]
4 years ago
9

Write the linear inequality shown in the.The gray represents the shaded region.

Mathematics
1 answer:
Alina [70]4 years ago
6 0
It is the second one
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What is the average of 64, 69, 73
larisa86 [58]
Add up the numbers and divide by how many there are
(64 + 69 + 73) / 3 = 206/3 = 68.66
3 0
4 years ago
A. Work of 5 Joules is done in stretching a spring from its natural length to 16 cm beyond its natural length. What is the force
kirza4 [7]

Answer:

(a) 62.5 N

(b) 694.4 N/m

(c) 41.7 N

Step-by-step explanation:

Work done in stretching a spring is

W = \frac{1}{2}Fe=\frac{1}{2}ke^2 since F=ke

F is the applied force, E is the elongation and k is the spring constant.

(a) Here, e = 16 cm = 0.16 m

W = \frac{1}{2}Fe

F = \dfrac{2W}{e} = \dfrac{2\times5}{0.16}=62.5\text{ N}

(b) Here, e = 12 cm = 0.12 m

W =\frac{1}{2}ke^2

k=\dfrac{2W}{e^2}=\dfrac{2\times5}{0.12^2}=694.4\text{ N/m}

(c) The restoring force is the same as the applied force.

F = \dfrac{2W}{e} = \dfrac{2\times5}{0.12}=41.7\text{ N}

4 0
4 years ago
A tree is 4 1/2 feet tall, it is expected to grow by 1 3/4 feet per year at this rate how long will it take for the tree to have
Levart [38]

Answer:

Approximately

n = 21 years

Step-by-step explanation:

Original height of the tree = 4 1/2 feet

Final height of the tree = 40 feet

Common difference = 1 3/4 feet per year

The data shows the question is an arithmetic progression

Tn = a + (n-1) d

Tn = 40

a = 4 1/2

d = 1 3/4

n = ?

Tn = a + (n-1) d

40 = 4 1/2 + ( n - 1) 1 3/4

40 = 9/2 + (n - 1) 7/4

40 = 9/2 + 7/4n - 7/4

40 = 18-7/4 + 7/4n

40 = 11/4 + 7/4n

40 - 11/4 = 7/4n

160-11/4 = 7/4n

149/4 = 7/4n

Divide both sides by 7/4

n = 149/4 ÷ 7/4

= 149/4× 4/7

= 149/7

n = 21.29 years

Approximately

n = 21 years

8 0
3 years ago
Prove that the point [1,2] is equidistance from the point [4,-2], [5,-1] and [-2,6] ​
fgiga [73]

Step-by-step explanation:

Proof: equidistance means at an equal distance from two points

so: Take the distance formula and then plug the values in and compare.

3 0
2 years ago
Divide. 71 ÷ 6 Enter your answer by filling in the boxes. __R__
Andru [333]
Possible answer: 11r8?
3 0
2 years ago
Read 2 more answers
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