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Tom [10]
3 years ago
12

Which of the following is true about the age of rock layers and the age of the Earth? A. All rock layers are older than the Eart

h. B. The Earth is older than any rock layer. C. The bottom layer in a sequence of rock layers is older than the Earth. D. The top layer in a sequence of rock layers is older than the Earth.
Mathematics
1 answer:
aleksandrvk [35]3 years ago
8 0
Hello there.

<span>Which of the following is true about the age of rock layers and the age of the Earth?

Answer: </span><span>The Earth is older than any rock layer.</span>
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Isaiah decides to launch a model rocket to demonstrate parabolic motion. Given x stands for time and y stands for height in feet
mina [271]

The parabolic motion is an illustration of a quadratic function

The equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31

<h3>How to model the function?</h3>

Given that:

x stands for time and y stands for height in feet

So, we have the following coordinate points

(x,y) = (5,0), (11,0) and (10,80)

A parabolic motion is represented as:

y =ax^2 + bx + c

At (5,0), we have:

25a + 5b + c = 0

c= -25a - 5b

At (11,0), we have:

121a + 11b + c = 0

Substitute c= -25a - 5b

121a + 11b -25a - 5b = 0

Simpify

96a + 6b = 0

At (10,80), we have:

100a + 10b + c = 80

Substitute c= -25a - 5b

100a + 10b - 25a -5b = 80

75a -5b = 80

Divide through by 5

15a -b = 16

Make b the subject

b = 15a + 16

Substitute b = 15a + 16 in 96a + 6b = 0

96a + 6(15a + 16) = 0

Expand

96a + 90a + 96 = 0

This gives

186a = -96

Solve for a

a = -16/31

Recall that:

b = 15a + 16

So, we have:

b = -15 * 16/31 + 16

b =-240/31 + 16

Take LCM

b =(-240 + 31 * 16)/31

[tex]b =256/31

Also, we have:

c= -25a - 5b

This gives

c= 25*16/31 - 5 * 256/31

Take LCM

c= -880/31

Recall that:

y =ax^2 + bx + c

This gives

y = -16/31x^2 + 256/31x - 880/31

Hence, the equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31

Read more about parabolic motion at:

brainly.com/question/1130127

7 0
2 years ago
Solve the inequality 1+5(x-8)&lt;2-(x+5)
Dominik [7]

Answer:

The answer is x<6 I hope this helps

Step-by-step explanation:

5 0
3 years ago
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Wat is the position of 7 in the number 876,543
galina1969 [7]
The position of the 7 is in the ten thousandths place.
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3 years ago
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Sally, Sue and Joe were measured in gym class. Sally was 65 3/4 inches. Sue was 65 7/8 inches. Joe was 65 1/2 inches. Who was th
qaws [65]

Answer:

Sue was the tallest.

Step-by-step explanation:

Sally = 65 3/4 --> 65 6/8

<h2>Sue = <u>65 7/8</u></h2>

Joe = 65 1/2 --> 65 4/8

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I NEED HELP QUICKLY!! Find the sum of the first 42 terms of the sequences (12, 16, 20, ....)
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Answer:

B

Step-by-step explanation:

Note the common difference between consecutive terms of the sequence.

d = 16 - 12 = 20 - 16 = 4

This indicates the sequence is arithmetic with sum to n terms

S_{n} = \frac{n}{2} [2a₁ + (n - 1)d ]

where a₁ is the first term and d the common difference

Here a₁ = 12 and d = 4, thus

S_{42} = \frac{42}{2} [ (2 × 12) + (41 × 4) ]

                          = 21( 24 + 164) = 21 × 188 = 3948 → B

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3 years ago
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