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BigorU [14]
3 years ago
7

For a moving object, the force acting on the object varies directly with the object's acceleration. When a force of 15 N acts on

a certain object, the acceleration of the object is 5 /ms2. If the acceleration of the object becomes 9 /ms2, what is the force?
Mathematics
1 answer:
netineya [11]3 years ago
5 0

Answer:

27 N

Step-by-step explanation:

Since force varies directly with acceleration, we can introduce a constant, k, and write  F=ka

When force is 15, acceleration is 5, so plug it into the equation and solve for k:

F=ka\\15=k(5)\\k=\frac{15}{5}\\k=3

Now, to find force, we use a = 9 and k = 3, so

F=ka\\F=(3)(9)\\F=27

The force is 27 N

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The option that is the best buy is option 3.

<h3>What is the best buy? </h3>

The best buy is the option that has the lowest average cost. Average cost is the total cost of the bottles divided by the number of bottles.

Average cost = total cost / number of bottles

Option 1: $8.75 / 5 = $1.75

Option 2: $5.97 / 3 = $1.99

Option 3: $6.36 / 4 = $1.59

Option 4: $12.60 / 7 = $1.80

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6 0
2 years ago
Find the circumference need help
marta [7]

Answer:

56.52

Step-by-step explanation:

c=2pir

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C=56.52

5 0
3 years ago
Answer correctly and fast please.
Morgarella [4.7K]

Answer:

the answer is 7

Step-by-step explanation:

the right angle is 90°

90-55=35

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5 0
2 years ago
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Isaac wants the equation below to have no solution when the missing number is placed in the box.
MatroZZZ [7]

Answer: 4

Step-by-step explanation: To have an equation with no solution you have to get something like 0=1 meaning you have to remove all the variables. In this equation you would distribute to get xy+2y+2x=2x+12+4x where y is the missing number. then combining like terms you get xy+2x+2y=6x+12. Subtracting 2x from both sides you get xy+2y=4x+12. Now to get the variables gone y has to be 4 so that the variables to cancel out. By plugging in 4 you can see this works; 4x+8=4x+12 and by subtracting 4x from both sides you get 8=12 which is not true meaning there is no solution.

8 0
3 years ago
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Please answer with clear instructions so that i can apply this to other questions.
kvv77 [185]

Answer:

10 terms

Step-by-step explanation:

equate the sum formula to 55 and solve for n

\frac{1}{2} n(n + 1) = 55 ( multiply both sides by 2 to clear the fraction )

n(n + 1) = 110 ← distribute parenthesis on left side

n² + n = 110 ( subtract 110 from both sides )

n² + n - 110 = 0 ← in standard form

Consider the factors of the constant term (- 110) which sum to give the coefficient of the n- term (+ 1)

the factors are + 11 and - 10 , since

11 × - 10 = - 110 and 11 - 10 = + 1 , then

(n + 11)(n - 10) = 0 ← in factored form

equate each factor to zero and solve for n

n + 11 = 0 ⇒ n = - 11

n - 10 = 0 ⇒ n = 10

However, n > 0 , then n = 10

number of terms which sum to 55 is 10

7 0
2 years ago
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