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victus00 [196]
3 years ago
9

Which of the following represents a solution to the equation d3 - 343?

Mathematics
1 answer:
Levart [38]3 years ago
3 0
I don’t see any multiple choice but d3 -343 is factored as (d-7)(d^2+7d+49)
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An engineer is trying to design a runway for an airport. He knows that airplanes have the ability to accelerate at 3.3 m/s ^ 2 a
chubhunter [2.5K]

Answer:

The proposed 1600 meters runway length is not long enough

Step-by-step explanation:

The given parameters are;

The amount by which a plane can accelerate = 3.3 m/s²

The time it takes for a plane to lift off the ground = 35 seconds

The length of the runway on the blueprint = 1,600 meters

Therefore, from the equation of motion for distance traveled, s, acceleration, a, and time taken, t, we have;

s = u·t + 1/2·a·t²

Where;

u = The initial velocity

t = 35 seconds

a = 3.3 m/s²

Given that all planes will start motion from rest, we have;

u = 0 m/s

Therefore;

s = 0 × 35 + 1/2 × 3.3 × 35² = 2021.25 meters

Which indicates that the length of the runway a plane would need for take off should be at least 2021.25 meters long, therefore, the blueprint's 1600 meters runway length is not long enough.

7 0
3 years ago
Pls help me with this question! ​
Sveta_85 [38]

Step-by-step explanation:

<u>The inequality represents:</u>

h is less than or equal to 46.

<u>Values included;</u>

  • 46
  • Values less than 46.

I apologize for the line being uneven.

7 0
2 years ago
The first term of a sequence is 35 and the difference between the terms is always 8. a) Determine the nth term of the sequence.
s2008m [1.1K]

Answer:

<h3>              aₙ = 8n + 27</h3>

Step-by-step explanation:

a_1=35\\d=8\\\\a_n=a_1+d(n-1)\\\\a_n=35+8(n-1)\\a_n=35+8n-8\\a_n=8n+27

8 0
3 years ago
If RS = 17, ST = x + 6, and RT = 3x - 5, What is ST.
tigry1 [53]

Answer:

ST = 20

Step-by-step explanation:

Line segment RS and segment ST must add up to line segment RT

Step 1: Define

RS = 17

ST = x + 6

RT = 3x - 5

Step 2: Set up equation

mRS + mST = mRT

17 + x + 6 = 3x - 5

Step 3: Solve for <em>x</em>

x + 23 = 3x - 5

23 = 2x - 5

28 = 2x

x = 14

Step 3: Find mST

ST = x + 6

ST = 14 + 6

ST = 20

3 0
3 years ago
For a field trip 11 students rode in cars and the rest filled eight buses. Which equation below will help you find how many stud
Helen [10]

Answer:

8x + 11= 315

Step-by-step explanation:

Let x = the number of students in a bus

There are 8 buses

8x is the number of students in buses

There are 11 students in cars

Add this together to get all the students, which is 315

8x + 11= 315

6 0
3 years ago
Read 2 more answers
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