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Alex777 [14]
1 year ago
15

The equation K = mv2 represents the energy an object has based on its motion. The kinetic energy, K, is based on the mass of the

object, m, and the velocity of the object, v. Lashandra is given K and v for 10 different objects. In order to make solving more efficient, she solves the equation for m : m = . After attempting to determine the mass of a few objects, Lashandra realizes there must be something wrong with her formula. What is Lashandra’s error? She should have multiplied by 2 instead of dividing by 2. She should have multiplied by instead of dividing by 2. She should have used the square root to move the squared term to the other side of the equation. She should have squared the K when moving the v2 to the other side of the equation.
Mathematics
2 answers:
docker41 [41]1 year ago
6 0
<span>The answer is She should have multiplied by 2 instead of dividing by 2.
First one.</span>
stealth61 [152]1 year ago
4 0

Answer:

She should have multiplied by 2 instead of dividing by 2.

Step-by-step explanation:

Note: The given equation is incorrect and second equation is missing.

Consider the given equation is

k=\dfrac{1}{2}mv^2         ...(i)

The formula find by Lashandra is

m=\dfrac{k}{2v^2}

We need to find the Lashandra’s error.

Multiply both sides by 2 in equation (i).

2k=mv^2

Divide both sides by v^2.

\dfrac{2k}{v^2}=m

It means, the formula find by Lashandra is incorrect. She should have multiplied by 2 instead of dividing by 2.

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Each week, Allen earns $70 for every shift he works at the diner and $12 for every dog-walking job. He uses the expression 70x +
Gwar [14]

Answer:

  A. coefficients: 70, 12; variables: x, y.

  B. 2 terms: 70x, 12y; separated by an addition symbol

  C. 70x

Step-by-step explanation:

We will answer the questions in the context of this problem. In other problems, the meaning of "coefficient", "variable", and "term" may be different.

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A. The coefficients are the numbers; the variables are the letters. Then the coefficients are 70 and 12; the variables are x and y.

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B. Each product is a term. Terms are separated by the + sign. There are two terms in this expression, one on either side of the + sign. When an expression is written with no parentheses, the terms are separated by + or - signs. (Often, we think of the minus sign as being part of the coefficient of the term. Then we can say terms are separated by + signs. 10x + (-32y), for example.)

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C. When you match the coefficients to the numbers in the problem statement, you see that the number matching the earnings at the diner is <em>$70 per shift</em>. If we assume that x represents the number of shifts worked at the diner, then the term 70x will represent the total earned from the diner. It is the product of the earnings per shift and the number of shifts.

4 0
1 year ago
Which of the following functions describes the sequence 4, –2, 1, –12, 14, . . .? A. f(1) = 4, f(n + 1) = –2f(n) for n ≥ 1 B. f(
AlekseyPX

Answer: D. f(1) = 4,\ \ f(n+1)=\dfrac{-1}{2}f(n)

Step-by-step explanation:

The given sequence:  4, -2,1,\dfrac{-1}{2},\dfrac14,....

Here, first term: f(1)=4

Second term: f(2)=-2

Third term : f(3)=\dfrac{-1}{2}

It can be observed that it is neither increasing nor decreasing sequence but having the common ratio.

Common ratio: r=\dfrac{f(2)}{f(1)}=\dfrac{-2}{4}=\dfrac{-1}{2}

So, f(n+1)=\dfrac{-1}{2}f(n)  [as in G.P. nth term= a_{n+1}=ar^n]

Hence, correct option is D. f(1) = 4,\ \ f(n+1)=\dfrac{-1}{2}f(n)

5 0
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cricket20 [7]
The volume of a prism is the product of the area of a the base and its height. Given the volume of the prism as 15x2 + x + 2 and the height as x2, the base can be expressed using this expressions. Volume = base x height. By substitution, <span>15x2 + x + 2  = (base) x (x2). Thus the answer is, base = (15x2 + x + 2)/x2 or base = 15 + (1/x) + (2/x2).</span>
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