An object with a mass of 6.3 kg has a mass of 7.1newtons applied to it, what is the resulting acceleration of the object

Answers

Answer 1

Answer: Since, a = F (net) / m (net)
Therefore a = 7.1 / 6.3 = 1.13 m/sec^2

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A dart hits the small circular target shown below at a random point. Find the probability that the dart lands in the shaded circular region. The radius of the target is 8 cm, and the radius of the shaded region is 3 cm.Use the value 3.14 for π. Round your answer to the nearest hundredth.
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Select one of the factors of 3x2 + 4x − 4. (x + 4) (3x + 2) (3x − 2) (x − 2)
Please help with these.

Quick Algebra questions please :) 1). Which values best approximate the solutions of -4x^2+11x+2=0?
A). 1.5 and 2.9
B). -0.2 and 2.9
C). 2 and 2.9
D). -0.2 and 2

2). What is the solution set of 4x^2-3=11x?
A). {-3/4,1}
B). {1/4,-3}
C). {-1/4,3}
D). {3/4,-1}

3). What would the graph of g(x)=-(x+2)^2+5 look like?

Answers

1. -4x² + 11x + 2 = 0
   x = -(11) ± √((11)² - 4(-4)(2))
   2(-4)
   x = -11 ± √(121 + 32)
   -8
   x = -11 ± √(153)
      -8
   x = -11 ± 3√(17)
   -8
   x = -11 ± 3(4.1)
      -8
     x = -11 ± 12.3
      -8
   x = -11 + 12.3 or x = -11 - 12.3
      -8    -8
   x = 1.3 or    x = -23.3
   -8     -8
   x = -0.1625    or x = 2.9125
   x ≈ -0.2    or x ≈ 2.9

The answer is B.

2. 4x² - 3 = 11x
    4x² - 11x - 3 = 0
    x = -(-11) ± √((-11)² - 4(4)(-3))
   2(4)
    x = 11 ± √(121 + 48)
      8
    x = 11 ± √(169)
   8
    x = 11 ± 13
       8
    x = 11 + 13 or x = 11 - 13
      8    8
    x = 24    or   x = -2
       8 8
   x = 3 or    x = -0.25

The answer is C.

3. g(x) = -1(x + 2)² + 5
    g(x) = -1(x + 2)(x + 2) + 5
    g(x) = -1(x(x + 2) + 2(x + 2)) + 5
    g(x) = -1(x(x) + x(2) + 2(x) + 2(2)) + 5
    g(x) = -1(x² + 2x + 2x + 4) + 5
    g(x) = -1(x² + 4x + 4) + 5
    g(x) = -1(x²) - 1(4x) - 1(4) + 5
    g(x) = -x² - 4x - 4 + 5
    g(x) = -x² - 4x + 1

Which is a factored form of 8x^3+1?

Answers

in factor form (2x+1)(4x^2-2x+1)

Find the probability. Round to nearest tenth.

Answers

Answer:

Probability: (About) 0.8

Step-by-step explanation:

~ Provided that point X is randomly plotted on the line segment JM, we must calulculate the probability with which it lands on KM the first time ( implied ) ~

1. We know that the line segment JM, by the Partition Postulate ⇒ JK + KL + LM. With that being said JM = 3 + 7 + 4 = 14 units

2. Now line segment KM, by the Partition Postulate ⇒ KL + LM. With the assigned values, we can tell that KM = 7 + 4 = 11 units

3. If we were to determine the porbability that X lands on the line segment KM, considering the first try it would be KM/JM ⇒ Probability: 11/14

What is the degree of the polynomial 3xy^2z−2z^5+2/3y^2z^4 ?

Answers

Answer:

6 is the answer

Answer:

Step-by-step explanation:

A company makes and sells charm bracelets. The cost of producing x bracelets is represented by the functionC(x) = 180 + 8x. The revenue earned from selling x bracelets is represented by the function R(x) = 20x.
Write and simplify a function P that represents the profit made from selling x bracelets.
How many bracelets must the company sell to break even?

Keep answer simple

Answers

Answer:

the company must sell 15 bracelets to break even.

Step-by-step explanation:

To find the profit made from selling x bracelets, we need to subtract the cost of producing x bracelets from the revenue earned from selling x bracelets.

The cost of producing x bracelets is given by the function C(x) = 180 + 8x.

The revenue earned from selling x bracelets is given by the function R(x) = 20x.

To find the profit, we subtract the cost from the revenue: P(x) = R(x) - C(x).

Substituting the given functions:

P(x) = 20x - (180 + 8x).

To simplify the expression, we combine like terms:

P(x) = 20x - 180 - 8x.

Simplifying further, we combine the x terms and the constant terms:

P(x) = 12x - 180.

So, the function P(x) represents the profit made from selling x bracelets: P(x) = 12x - 180.

To find the number of bracelets the company must sell to break even, we set the profit (P(x)) equal to zero, since profit is zero at the break-even point:

12x - 180 = 0.

Adding 180 to both sides of the equation:

12x = 180.

Dividing both sides by 12:

x = 15.

What type of angle is <CEB?