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bixtya [17]
2 years ago
9

In a science-fiction story, a spaceship travels 3 times faster each minute than it traveled during the minute before. If the shi

p travels at 3 km/hr during its first minute of flight, which expression shows the ship's speed in kilometers per hour during the 15th minute?
Mathematics
1 answer:
JulijaS [17]2 years ago
6 0

The expression is:

speed(minutes)=3\frac{km}{h} ^{minutes} \\\\speed(15minutes)=(3^{15})\frac{km}{4} =14348907\frac{km}{g}

Why?

From the statement we know that the spaceship travels 3 times faster each minute that it traveled during the minute before, it can be expressed using an exponential function, its base will be the starting speed (during the first minute).

The expression will be:

speed(minutes)=(3^{minutes})\frac{km}{h} \\\\speed(15minutes)=(3^{15})\frac{km}{h}=14348907\frac{km}{h}

Have a nice day!

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sam had 70 erasers and rulers. after giving away 1/3 of his erasers and 10 rulers, he had an equal number of erasers and rulers
Radda [10]

Answer:

36 erasers

Step-by-step explanation:

Let number of erasers be e

let number of rulers be r

We can write:

e + r = 70

and

After giving away, he has

Erasers:  2/3e

Rulers:  r - 10

These two are equal, so we can write and solve:

2/3e = r - 10

2/3e + 10 = r

Putting this in initial equation, we have:

e + (2/3e + 10) = 70

5/3e + 10 = 70

5/3 e = 60

e = 36

And rulers is:

r = 2/3(36) + 10 = 34

Hence, he had 36 erasers in the beginning

4 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%7B10%7D%5Ex%20%3D%205" id="TexFormula1" title=" {10}^x = 5" alt=" {10}^x = 5" align="absmi
My name is Ann [436]

Answer:

below

Step-by-step explanation:

10ˣ = 5

applying log to both sides

xlog 10 = log5

x = 0•699

8 0
2 years ago
4(x-12)^1/3 = -16<br> Help please, thank you
Lina20 [59]

Hello!

4 (x-12) ^ 1/3 = -16

Step 1. Simplify each side of the equation, 4/ 3x + −16 = −16 and 4 /3 x −16 = −16

Step 2. Add 16 to both sides, 4 /3 x − 16 + 16 = −16 + 16

Step 3: Multiply both sides by 3/4, ( 3/4)*(4/3x)=(3/4)*(0)

Final Answer: x= 0

Hope I could help! :)


7 0
3 years ago
Solve for 2/5 + 3/8= With two possible answeres
Pani-rosa [81]
You can change the denominators so they are alike.\frac{16}{40} + \frac{15}{40} = \frac{31}{40}
Not sure how there can be two possible answers unless you're mentioning the decimal form:
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Tell me if this helps!!
6 0
2 years ago
In pool the rail of the table can be considered which of the following when making a bank shot
Alex73 [517]

In the pool, the rail of the table can be considered a rebound line as the definition suggest the table's rail can be used as a rebound line.

<h3>What is a rebound line?</h3>

Water is released from the earth when it is squeezed or compacted by some force. As a further stage, the stress in the soil is removed, allowing the soil sample to expand back to its original size.

The soil will try to reclaim some of the stress it has lost after the stress has been released. Rebound is the word for this procedure.

We have a statement:

The rail of the table can be considered which of the following when making a bank shot:

The answer is a rebound line.

As the definition of the rebound line, the table's rail can be used as a rebound line.

Thus, in the pool, the rail of the table can be considered a rebound line as the definition suggest the table's rail can be used as a rebound line.

Learn more about the rebound line here:

brainly.com/question/15504221

SPJ1

7 0
1 year ago
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