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Natalka [10]
4 years ago
9

Mentone,indiana,claims to have the world's largest egg sculpture. A 6-foot- tall person standing next to the egg sculpture casts

a shadow that is 2 feet long. If the egg casts a shadow that is 4 feet long, how tall is the sculpture?
Mathematics
1 answer:
MatroZZZ [7]4 years ago
5 0
This item can be answered by the concept of ratio and proportion. The ratio of the sculpture's height and shadow should be proportional or equal to that of the person. Mathematically,
                         6 ft / 2 ft = h / 4 ft
The value of h in the equation is 12 ft. 
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The birth rate of a population is b(t) = 2300e0.021t people per year and the death rate is d(t)= 1450e0.018t people per year, fi
Cerrena [4.2K]

Answer:

38,674.This area represents the increase in population over a 10-year period.

Step-by-step explanation:

When graphed over the interval 0 ≤ t ≤ 10, the birth rate is more than the death rate. This means the area between the two curves is the amount of births subtract the amount of deaths. This results in an area which means the increase of the population.

The birth rate is graphed in green and the death rate is graphed in blue.

To find the area, take the integral of the difference of the functions:

\int\limits^{10}_0 {2300e^{0.021t} - 1450e^{0.018t} } \, dt \\\\\frac{2300e^{0.021t}}{0.021} -  \frac{1450e^{0.018t}}{0.018} \\\\(\frac{2300e^{0.21}}{0.021} -\frac{1450e^{0.18}}{0.018} ) - (\frac{2300}{0.021}- \frac{1450}{0.018} ) \\\\135117.12 - 96442.51 \\\\38,674

7 0
3 years ago
What is the answer? -3(6w-3v-1)
SashulF [63]
This is the best way to show you step by step. i love this website/app it’s called Math papa and you type in your problem and it helps you with the steps. this is how i got so good at math.

4 0
3 years ago
A popular video game claims that the average time needed to reach level 10 Paladin is 3 hours with a standard deviation of 0.4 h
ASHA 777 [7]
For the answer to the question above, first, we must calculate the standard error. The standard error is standard deviation divided by the square root of the sample. In this case, it is equal to 0.178. The z-score has defined the distance from the sample to the population mean in units of standard error.

z = (3 – 2.5)/0.178 = 2.81
at this z-score, the probability is 0.9974 or
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7 0
3 years ago
Three times the square of a number if five less than sixteen times the number. What is the number?
expeople1 [14]
X - the number

3x^2=16x-5 \\
3x^2-16x+5=0 \\
3x^2-15x-x+5=0 \\
3x(x-5)-1(x-5)=0 \\
(3x-1)(x-5)=0 \\
3x-1=0 \ \lor \ x-5=0 \\
3x=1 \ \lor \ x=5 \\
x=\frac{1}{3} \ \lor \ x=5

The number is 1/3 or 5.
5 0
3 years ago
Read 2 more answers
As an estimation we are told 5 miles is 8 km.<br> Convert 40 miles to km.
sergeinik [125]

Answer:

5 miles=8 km

=)1 mile=8/5 km=1.6 km

=)40 miles=1.6×40=64 km

So, 40 miles is 64 km.

Step-by-step explanation:

7 0
3 years ago
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