Adding odd numbers will only give you an even sum if the amount of numbers you added is an even number.
For example,
25 is an odd number. If you add 25, 2 times (2 is an even number) you will get 50 (an even number). If you add 25, 4 times (4 is an even number) you will get 100 (still, an even number)
However, if you add 25, 3 times (an odd number) you will get 75 (an odd number). If you add 25, 5 times (an odd number) you will get 125 (still an odd number).
Hopefully, that helped (: Sorry if I confused you lol
The tension on each segment of the clothesline is : 110 N
<u>Given data : </u>
mass of object = 100 n = 10 kg
Horizontal distance of clothesline = 4 m
middle of clothesline sag s by : 1m
<h3 /><h3>Determine the tension on each segment of clothesline</h3>
<u>First step</u> : calculate the horizontal angle made by the sagging
β = arctan ( 1 m / 2m ) ----- ( 1 )
= arctan ( 0.5 )
≈ 26.57°
Note : Tension in th y axis ( Ty ) = Tsinβ
Therefore :
Tension on each segment can be calculated using the formula below
2Tsinβ - mg = 0
solve for T
T = mg / 2sinβ
= ( 10 * 9.8 ) / 2 * sin 26.57°
= 98 / 0.89
= 110 N
Hence we can conclude that the tension on each segment of the clothesline is : 110 N
Learn more about Tension calculations : brainly.com/question/24994188
If a perfectly competitive business firm is a price taker, then: A. pressure from competing firms will force acceptance of the prevailing market price.
<h3>What is a perfectly competitive market?</h3>
A perfectly competitive market can be defined as a type of market that is typically characterized by many buyers and sellers of homogeneous products, and there is free entry and exit in the market.
<h3>What is a
price taker?</h3>
A price taker can be defined as a business firm that is operating in a perfectly competitive market and is generally required to take the prevailing market price for its homogeneous product.
In this context, we can infer and logically deduce that pressure from other competing business firms would force acceptance of the prevailing market price when a perfectly competitive business firm is a price taker.
Read more on price here: brainly.com/question/11898489
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Complete Question:
If a perfectly competitive firm is a price taker, then
A. pressure from competing firms will force acceptance of the prevailing market price.
B. it must be a relatively small player compared to its competitors in the overall market.
C. it can increase or decrease its output without affecting overall quantity supplied in the market.
D. quality differences will be very perceptible and will play a major role in purchasers' decisions.
(A) The supply function generally is considered to have positive slope. Qa has positive slope. Qb has negative slope, so is probably the demand function.
supply function: Qa
demand function: Qb
(B) The equilibrium price is the price that makes supply equal to demand.
Qa = Qb
50 +p = 200 -4p
5p = 150
p = 30
The equilibrium price is 30.
(C) The price elasticity of supply is computed as
Es = (dQa/dp)·(P/Qa) = 1·p/(50+p)
Es = p/(50+p)
At p=30, the numerical value is Es = 30/80 = 3/8. Qualitatively, the supply is inelastic.
