MATHEMATICS HIGH SCHOOL

The function C (1)31+ 2 is the cost to order a lip gloss L,including the flat rate shipping charge. Which of the for
represents the cost of purchasing 5 lip glosses? (1 point)

C (5)=5
1=5
C (5)
C (1) = 5

Answers

Answer 1
Answer:

Answer:

Therefore, the cost of purchasing 5 lip glosses, as represented by the function C(5), is 41.

Step-by-step explanation:

To find the cost of purchasing 5 lip glosses, we need to use the given function C(1) = 31 + 2, which represents the cost of ordering one lip gloss including the flat rate shipping charge. To find the cost of purchasing 5 lip glosses, we can substitute 5 for the variable in the function: C(5) = 31 + 2 * 5 C(5) = 31 + 10 C(5) = 41

Answer 2
Answer:

Final answer:

The cost of purchasing 5 lip glosses represented in the function C(1)=31+2 is evaluated as C(5)=31+2*5, which equals 41 units.

Explanation:

This question involves the mathematical concept of functions, specifically, simple linear functions. In this example, we have the function C(1)=31+2, which informs us that the cost to order one lip gloss, denoted as 'L', is '31 plus twice the number of lip glosses ordered'

To answer the question 'What represents the cost of purchasing 5 lip glosses?', we substitute the number of lip glosses we want to buy (5) into our function. So instead of evaluating C(1), we evaluate C(5)=31+2*5, following the same structure of '31 plus twice the number of lip glosses ordered'. The solution to this would be C(5)=41, meaning it would cost 41 units (the currency isn't stated) for 5 lip glosses.

Learn more about Mathematics Functions here:

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Find common denominators for three sevens and one and half

Answers

3/7 and 1 1/2

Now look at the two denominators: 7 and 2.

Because 7 and 2 are relatively prime, their least common multiple is:
7*2= 14

Therefore, 14 is a common denominator for 3/7 and 1 1/2.

Hope this helps~
3/7 and 1/2    14 is the common denominator    at the end it is   6/14  and 7/14

7. (1 point) A fighter plane, which can shoot a laser beam straight ahead, travels along the path ~r(t) = 5 − t, 21 − t 2 , 3 − t 3 27 Show that there is precisely one time t at which the pilot can hit a target located at the origin.

Answers

Answer:

At t = 3, pilot can hit the target located at the origin.

Step-by-step explanation:

We have been given displacement vector:

r(t) = 5 - t, 21 - t², 3-t³/27

so, in this case r(t) and r'(t) should be in the parallel but opposite direction.

In order to get r'(t) we need to differentiate r(t).

r(t) = 5 - t, 21 - t², 3-t³/27

r'(t) = -1, -2t, -t²/9

Now perform the cross product among these two r(t) and r'(t).

r'(t) x r(t) = \left[\begin{array}{ccc}i&j&k\n-1&-2t&(-t^(2) )/(9) \n5-t&21-t^(2) &3-(t^(3) )/(27) \end{array}\right]

            = i ((-6t + (2t^(4) )/(27) )+ ( (21t^(2) )/(9) - (t^(2) )/(9) )) -j ((-3 + (t^(3) )/(27) + (5t^(2) )/(9) - (t^(2) )/(9) )) + k ((-21 + t^(2)  + 10t -2t^(2)))

           = ((-t^(4) )/(27) + (7t^(2) )/(3) - 6t )i + ((2t^(3) )/(27) - (5t^(2) )/(9) +3) j + (-t² + 10t -21)k

In order to find the value of t, we need to put

(-t^(4) )/(27) + (7t^(2) )/(3) - 6t = 0

-t² + 10t -21 = 0

So, after solving for t, we will get

- ( t-3) (t-7) = 0

t = 3 or t = 7

In this case, only t = 3 satisfies the other two equations as well. t=7 is not satisfying. So take t =3 as the time. and for further assurance, we need to check are our vectors r(t) and r'(t) opposite at t = 3 or not. Let's check it out.

r(3) = 5-3, 21 - 3²,  3 - 3³/27

r (3) = 2, 12, 2

r'(3) = -1, -2(3) , -3²/9

r'(3) = -1, -6 -1

Here, we can easily see that, r(3) = -2 r'(3) which is opposite and hence it is proved that, at exactly t = 3, pilot can hit a target located at the origin.

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Answers

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120 inches is greater that 100 inches.

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Answers

Answer:

the largest is:   C^2+D^2

Step-by-step explanation:

We are given the expression C>D>0.

As C and D represent two different school populations. This means that C and D will be natural numbers.

C+D<2×(C+D)

Also C^2+D^2>C^2-D^2.

the largest among these expressions is  C^2+D^2
The question or the problem wants to choose among the following expression is the largest, base on the data presented in the problem, the possible answer among the following choices is C2+D2. I hope you are satisfied with my answer and feel free to ask for more 

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Answers

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Answers

Answer:

Step-by-step explanation:

Givens

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Solution

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