Answer:
120 sq. in
Step-by-step explanation:
perimeter = 44 inches
length is half the width + 7
a = length
b = width
a + a + b + b = 44
a + b = 22
a + b/2 = 7
b + b/2 + 7 = 22
b + b/2 = 15
2b + b = 30
a = 12
b= 10
area = a x b
area = 120 square inches
The simplification of the expression 5(6 ÷ 2² × 3 - 1) using the proper order of operation is 3.75
<h3>Simplification</h3>
5(6 ÷ 2² × 3 - 1)
Bodmas
- B - Bracket
- O - of
- D - division
- M - Multiplication
- A - Addition
- S - Subtraction
= 5(6 ÷ 4 × 3 - 1)
= 5(6 ÷ 4 × 2)
= 5(6 ÷ 8)
= 5(0.75)
= 3.75
Learn more about simplification:
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Since the whole thing is 24x+8, it is divided in 2 parts so both of those must be equal to the whole one. You get:
14x-2+70=24x+8
10x=60
x=6
Full Question
A 10 kilogram object suspended from the end of a vertically hanging spring stretches the spring 9.8 centimeters. At time t = 0, the resulting mass—spring system is disturbed from its rest state by the force F (t) = 20 cos(8t). The force F (t) is expressed in Newtons and is positive in the downward direction, and time is measured in seconds.
Determine the spring constant k.
Answer:
Spring Constant = 1000Nm^-1
Step-by-step explanation:
Given
Mass = 10kg
Spring Extension = 9.8cm
Spring Constant K = Force/Extension
Force = Mass * Acceleration
Force = 10 * 9.8 = 9.8N
Spring Extension = 9.8 cm = 9.8 /100 = 0.098 m
Spring constant = 98 / 0.098
Spring Constant = 1000Nm^-1
Answer:
40 black bears
Step-by-step explanation:
Hope it helps.
5 per sample
8 samples
5 x 8 = 40 black bears
