What is the image of (4,2) ?

The amount of energy it takes to run a race is most likely to be a function of

Lana71 [14]

The amount of energy it takes to run a race is most likely to be a function of the; D: Length of the Race

<h3>How to find amount of energy?</h3>

We want to basically find the factor that influences the amount of energy expended by a sprinter.

Now, formula for potential energy is;

P = mgd

where;

m is mass

g is acceleration due to gravity

d is distance covered

Now, the only option that falls into the input that affects energy expended is the distance covered. This is true because the more the distance covered, the higher the energy expended.

Read more about Amount of Energy at; brainly.com/question/13439286

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7 0

2 years ago

The first difference of a sequence is the arithmetic sequence

ad-work [718]

Answer:

a). 1, 3, 5, 7, 9, 11

b). 4, 6, 8, 10, 12, 14

c). 28, 30, 32, 34, 36, 38

Step-by-step explanation:

Solution for question (a):

The first difference of a sequence is the arithmetic sequence;

2, 4, 6, 8, 10

As clearly shown, the common difference (d) is 2.

This sequence, above, is an arithmetic sequence.

If the first term of an arithmetic sequence (AP) is 1, then the first six terms would be:

1, 3, 5, 7, 9, 11

Solution for question (b):

If the sum of the first two terms of an AP is ten,

Lets say the first term is x and the second term is x + 2 then;

x + (x + 2) = 10

2x = 10 - 2

x = 4

So the first term is 4 and the six terms of the AP are:

4, 6, 8, 10, 12, 14

Solution for question (c):

If the fifth term of an AP is 36 then,

To find the nth term in an AP we use the formula;

$T_{n} = a + (n - 1)d$ (where $T_{n}$ is the nth term, $a$ is the first term and $d$ is the common difference).

36 = a + (5 - 1)2

36 = a + 8

a = 36 - 8 = 28

So the first term is 28 and the first terms are;

28, 30, 32, 34, 36, 38

3 0

3 years ago

Calculate the premiums for the following insurance policies. Mary pays $417.25 for automobile insurance, of which $32 is for com

jek_recluse [69]

Answer: $609.88

Explanation:

Since Mary has two accidents in one year, we will use the note in the problem to compute for the new annual premium.

Using the note in the problem, we have the following steps:

- Subtract $32 from the original premium:

Result = $417.25 - $32 = $385.25

- Then, get 150% of the resulting number in the previous step. First, convert 150% to decimal. So, 150% = 1.5

Result = 150% of $385.25 = 1.5 × $385.25 = $577.875

- Finally to get the new premium, we add $32 to the resulting number in the previous step:

New Premium = $577.875 + $32 = $609.875

Since there is no half cents that exists today, we round-off the new premium to the nearest cent. Hence, the new premium is $609.88.

6 0

3 years ago

Read 2 more answers

Solve the system of equations. x + y + z = 9 -2x +y+2z =3 x - 4y - z = 2

kow [346]

Answer: x = 4 , y = − 1 , z = 6

Step-by-step explanation: m.athway

8 0

3 years ago

$67.50 with 8% sales tax

inna [77]

Answer:

The answer is 73.05

Step-by-step explanation:

To find the answer simply multiply 67.50 by 0.08 and then add that to 67.50

and since we are talking about dollars round to the nearest cent

6 0

3 years ago