Information given:
- <u>100 passengers in each train car</u>
- <u>10 train cars total</u>
- <u>30 trains total</u>
<em>So we are trying to find the total number of passengers on all 30 trains?</em>
<u />
Step-by-step:
100 x 10 = <u>1,000 passengers per train</u>
1,000 x 30 = <u>30,000 passengers total within the 30 trains</u>
Answer: <u>30,000 passengers</u>
<em>Hopefully this answered your question :)</em>
The exponential equations represents how long it will take for the account to grow to 1500 is y = 1000(b)^13.72
<h3>Exponential equations</h3>
Exponential equations are inverse of logarithmic equation. The standard exponential equation is expressed as;
y = ab^x
where
a is the base
x is the exponent
b is the rate
If Jennifer has a savings account that earns interest at a rate of 3% per year. Jennifer deposits 1000 into the account, the resulting exponential equation will be:
y = 1000(1.03)^x
If y = 1500, find the value of x
1500 = 1000(1.03)^x
1.5 = 1.03^x
ln1.5 = xln1.03
x = ln1.5/ln1.03
x = 13.72
Substitute to determine the equation
y = 1000(b)^13.72
Hence the exponential equations represents how long it will take for the account to grow to 1500 is y = 1000(b)^13.72
Learn more on exponential equation here: brainly.com/question/2456547
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So the picture below shows what the slant height is. It also shows that the pyramid can form a right triangle, in which we can use the pythagorean theorem, which is
.
But first, we have to find the height of this pyramid. The volume formula for a square pyramid is
. Since we know its a square pyramid, the length and width are going to be the same (12 ft), and we know that the volume is 432 ft^3. Using this info, we can solve for the height:

So now we can use the pythagorean theorem (remember to split the 12 by 2, since the right triangle has only half the length of the base). Our equation will be solved as such:

In short, the slant height is 10.8 ft.
Answer:
An imaginary line would need to be drawn at any angle to the center of the side opposite the angle to reflect across an axis of symmetry so that a regular pentagon can carry onto itself. Hope this answer helps.