An aircraft carrier left Port 35 traveling north five hours before a container ship. The container ship traveled in the opposite direction going 8 km/h faster than the aircraft carrier for seven hours after which time the ships were 303 km apart. What was the aircraft carrier's speed?

Answers

Answer 1

Answer:

21.75 km/h

Step-by-step explanation:

Let's call the aircraft carrier speed 'x', so the speed of the container ship is 'x+8'

The distance travelled can be found with the product of the speed and the time travelled: d = v * t

The aircraft carrier travelled five hours, so the distance travelled is:

d1 = x * 5 = 5x

Then, the container ship travelled seven hours, so the distance travelled is:

d2 = (x+8)*7 = 7x + 42

As they travelled in opposite directions, the distance between then is the sum of these distances, and it is equal 303 km, so we have that:

d1 + d2 = 303

5x + 7x + 42 = 303

12x = 261

x = 21.75 km/h

Answer 2

Answer:

The aircraft carrier's speed was 13 km/h

Step-by-step explanation:

The parameters given in the question are;

Time of departure of the aircraft carrier = 5 hours before the container ship

Speed of the container ship = 8 km/h faster than the aircraft carrier

Distance between the two ships after 7 hours = 303 km

Let the speed of the aircraft carrier be Z

∴ The speed of the container ship = Z + 8

Since the aircraft carrier left port 35 travelling North 5 hours earlier we have;

Total time of travel of the aircraft carrier at the time of measurement of the distance between the two ships = 5 + 7 = 12 hours

Therefore, since both ships are moving in opposite direction on the same line path, we have;

303 = 12×Z + 7 × (Z + 8) = 12·Z + 7·Z + 56

19·Z = 303 - 56 = 247

∴ Z = 247/19 = 13 km/h

Hence, the aircraft carrier's speed was 13 km/h.


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Li bought his dog Spot a huge bone. Spot chews 4 inches off the bone every day. What number describes the change in the length of the bone after 3 days?

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Answer:

4 x 3 = 12

12 is the answer. Have a great day

Step-by-step explanation: Brainliest please

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Answers

Answer:

The correct options is (a)

The simplified form of the given expression (2ab/a⁻⁵b²)⁻³ is b³/8a¹⁸. The correct answer is option A.

What is the expression?

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The expression is given as follows:

(2ab/a⁻⁵b²)⁻³

= [(2ab) / (a⁻⁵b²)]⁻³

Use the negative exponent rule: a⁻ⁿ = 1/aⁿ and simplify the denominator

= [(2a.a⁵b) / (b²)]⁻³

Combine the coefficients 1 and 5 to get

= [(2a⁶) / (b)]⁻³

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= 1/[(2a⁶)³ / b³]

Cube the resulting expression to get

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Therefore, b³/8a¹⁸ is the simplified form of (2ab/a⁻⁵b²)⁻³.

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Answer:

im pretty sure its b

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

When x < 1, y = 1, which is a horizontal line. This eliminates the last 2 options because the red line (which represents x < 1) is not a horizontal line. However, if we look at the second option, we see that the red line is y = 2, not y = 1, and therefore the answer is A. Hope this helps!

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2 StartRoot 2 EndRoot square units


2 StartRoot 14 EndRoot square units


6 StartRoot 22 EndRoot square units


12 StartRoot 77 EndRoot square units



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Answers

Answer:

B. [tex]2\sqrt{14}[/tex]

Step-by-step explanation:

Plug it in Heron's formula.

Answer:

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Answer:

2nd one

Step-by-step explanation:

How many ways can you pick a President, Vice President, Secretary and Treasurer from a group of 12 people?

479,001,600

19,958,400

20,736

11, 880

Answers

Answer: 20,736

Step-by-step explanation:

There are 12 people total in the room, so the base of the exponent will be 12.

Sine there are 4 possible positions, the exponent will be 4.

# of possibilities = 12^4

12^4 = 12 * 12 * 12 *12 = 20,736

The black line is the graph of y= x. Which of these
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yt

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y = 2x
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y = 1/2x

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y= 1/2x would be the answer.
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Answer:

[tex]\sqrt 40[/tex]

Step-by-step explanation:

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Answers

You need to divide 3 on both sides

The correct first step to solve the equation 3x = 44 is to divide both sides by 3.

To solve the equation 3x = 44, the first step is to isolate the variable x on one side of the equation.

To achieve this, you need to undo the multiplication by 3 on the left side of the equation.

Since 3x means 3 multiplied by x, you need to divide both sides of the equation by 3.

By dividing both sides of the equation by 3, you are essentially canceling out the effect of the multiplication by 3 on the left side.

This step allows you to isolate the variable x.

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A square pyramid has a base area of 25 square inches, and a volume of 150 cubic inches. What is the height of the pyramid in inches?

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Answer:

Step-by-step explanation:


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The base is 13 cm. What is the area of the
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Answers

Area of parallelogram = base × height

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Point B has coordinate B(1, –1). What is the coordinate of B' under a scale factor of 3?
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Answers

Answer:

The coordinate B' is [tex]B' = (3, -3)[/tex].

Step-by-step explanation:

The new coordinate is computed by applying the scale factor with respect to origin:

[tex]B' = \alpha \cdot B[/tex]

[tex]B' = 3\cdot (1,-1)[/tex]

[tex]B' = (3\cdot 1, 3 \cdot (-1))[/tex]

[tex]B' = (3, -3)[/tex]

Answer:

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Step-by-step explanation:

Rewrite [tex]\frac{2}{x^{2}-x-12 } and \frac{1}{x^{2}-16 }[/tex] as equivalent rational expressions with the lowest common denominator.
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Answers

Answer:

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Step-by-step explanation:

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Factor x^2-16: (x+4)(x-4)

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I hope this helped and have a good rest of your day!

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Answers

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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equation

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A common ratio multiplied to each term to get the next term is a non-zero number is a geometric sequence. An example of a Geometric sequence is 2, 4, 8, 16, 32, 64, … , where the common ratio is 2.

What are the types of sequences?

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- Quadratic sequences

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Solution:​

Answers

The surface area
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(8)(12)=96
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Answer:

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Step-by-step explanation:

1/2(8)(3)=12

1/2(8)(3)=12

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(8)(12)=96

(8)(12)=96

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answers

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Answers

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Let me explain.

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