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Harrizon [31]
3 years ago
10

How would you write 87 as a Roman numeral?

Mathematics
1 answer:
ddd [48]3 years ago
7 0

Answer:

LXXXVII

Step-by-step explanation:

L=50 X=10 V=5 I=1

So basically you need to figure out what adds up to the 87. so use L, or 50. now XXX=30. so now you have 80 so we still have 7 left over, so we can write 7 I's or a 5, (V) and two I's. We should use the V and the I. So we take one V, or 5. and two I's which together is 7. which leads us too LXXXVII. also always remember to have the biggest number first, in this case the L (50).

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Tom, Larry, Roberta, and John enjoy roller Coasters. Whenever a new roller Coaster opens near their town,
vazorg [7]

Answer:

  • <u>a) degree 3</u>
  • <u>b) 3 times</u>
  • <u>c) cubic</u>

<u></u>

Explanation:

The function that represents the first drop of the roller coaster is:

       h(t)=t^3-12t^2+35t,

where t is the  time in seconds and h is the height in feet.

<u></u>

<u>a) What is the degree of the function?</u>

The degree of a polynomial is the highest power of the variable, t. Thus, the degree of the function is 3.

<u>b) According to the degree of the function, how many times should the roller coaster hit the ground?</u>

The number of complex roots of a polynomial is equal to the degree of the polynomial. Thus, in this case this polynomial has 3 roots. Each root represents the value of the polynomial that makes it equal to zero, this is:

     t^3-12t^2+35t=0

Thus, since the polynomial function represents the height of the, the value zero represents when the roller coaster hits the ground.

To learn if the three roots are real numbers you can solve the equation, which may be done by factoring the polynomial.

Take t out as common factor:

  • t(t² - 12t + 35)

Find two numbers that add up -12 and its product is 35. Those are -7 and -5. Hence, use the factors t - 12 and t - 5:

  • t ( t - 12) (t - 5) = 0  This is the factored form of the polynomial

Whose solutions are t =0, t = 12, and t = 5. Three real numbers.

Hence, the roller coaster hits the ground three times: first at start, then  at 5 seconds, and finally at 12 seconds.

<u>c) Will the roller coaster be in the form of a linear, quadratic, cubic or quartic graph?</u>

It will be in the form of a cubic graph, becasue a linear graph corresponds to a polynomial of degree 1, a quadratic graph corresponds to a polynomial of degree 2, a cubic graph corresponds to a polynomial of degree 3, and a quartic graph corresponds to a polynomial of degree 4.

5 0
3 years ago
Please help, this is really important if you could show work that would be amazing :))
lara31 [8.8K]

Step-by-step explanation:

step 1. x = 70° (alternate interior angles)

step 2. y = 90° (same side interior angles).

5 0
3 years ago
A sphere has a diameter of 8 cm. Which statements about the sphere are true? Check all that apply.
Inessa [10]

The answers are the first, third, and last. I took the test.

4 0
3 years ago
Read 2 more answers
Find ln 5.1 to the nearest thousandth
LenKa [72]

Answer:

5.1.

Step-by-step explanation:

5.1 = 5.1000. You would then round down to find the nearest thousandth, which is 5.1.

Hope this helps!

8 0
3 years ago
and what the length of the ramp between the building is _______ feet. (round to the nearest tenth of a foot)
nirvana33 [79]

Answer:

i. think. its. c.

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