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ipn [44]
3 years ago
13

A female cockroach can produce 80 offspring at a time. If half are female, and each female produces 80 offspring, how many cockr

oaches would there be in 3 generations
Mathematics
2 answers:
inysia [295]3 years ago
7 0
80 x 3 so 3 generations which is 240 cockroaches
IRINA_888 [86]3 years ago
3 0
Ok if half are female that means 40 than 80 more for each of them because they all produce 80 so 80  times 40  = 3200 your gonna do the same 2 more times because of 3 generations so 3200 times 3 = 9600 in total

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If a car is traveling 92 feet per second, how many miles per minute is it traveling?
Jobisdone [24]
It’s A because 92 times 60 is 5520 divide that by the conversion of miles to a foot which is 5280 so 5520 divided by 5280 equals 1.045 or 1.05
7 0
3 years ago
Find the surface area of the solid generated by revolving the region bounded by the graphs of y = x2, y = 0, x = 0, and x = 2 ab
Nikitich [7]

Answer:

See explanation

Step-by-step explanation:

The surface area of the solid generated by revolving the region bounded by the graphs can be calculated using formula

SA=2\pi \int\limits^a_b f(x)\sqrt{1+f'^2(x)} \, dx

If f(x)=x^2, then

f'(x)=2x

and

b=0\\ \\a=2

Therefore,

SA=2\pi \int\limits^2_0 x^2\sqrt{1+(2x)^2} \, dx=2\pi \int\limits^2_0 x^2\sqrt{1+4x^2} \, dx

Apply substitution

x=\dfrac{1}{2}\tan u\\ \\dx=\dfrac{1}{2}\cdot \dfrac{1}{\cos ^2 u}du

Then

SA=2\pi \int\limits^2_0 x^2\sqrt{1+4x^2} \, dx=2\pi \int\limits^{\arctan(4)}_0 \dfrac{1}{4}\tan^2u\sqrt{1+\tan^2u} \, \dfrac{1}{2}\dfrac{1}{\cos^2u}du=\\ \\=\dfrac{\pi}{4}\int\limits^{\arctan(4)}_0 \tan^2u\sec^3udu=\dfrac{\pi}{4}\int\limits^{\arctan(4)}_0(\sec^3u+\sec^5u)du

Now

\int\limits^{\arctan(4)}_0 \sec^3udu=2\sqrt{17}+\dfrac{1}{2}\ln (4+\sqrt{17})\\ \\ \int\limits^{\arctan(4)}_0 \sec^5udu=\dfrac{1}{8}(-(2\sqrt{17}+\dfrac{1}{2}\ln(4+\sqrt{17})))+17\sqrt{17}+\dfrac{3}{4}(2\sqrt{17}+\dfrac{1}{2}\ln (4+\sqrt{17}))

Hence,

SA=\pi \dfrac{-\ln(4+\sqrt{17})+132\sqrt{17}}{32}

3 0
3 years ago
Steve, 18 years old, is three times as old as his brother Daniel. How old will Steve be when he will be twice as old as Daniel?
gtnhenbr [62]
18 ÷ 3 is 6, which means that Daniel is 6, and there is a 12 year gap between Steve and Daniel.

12 x 2 is 24, so therefore when Steve is 24, Daniel will be 12, so Steve is twice as old as Daniel:)
4 0
3 years ago
Ashley and Kristin are selling wrapping paper for a school fundraiser. Customers can buy rolls of plain wrapping paper and rolls
rodikova [14]

The cost of one roll of plain wrapping paper is $5 and one roll of shiny wrapping paper costs $16.

Step-by-step explanation:

Step 1; Assume that the cost of one roll of plain wrapping paper is $x and a roll of shiny wrapping paper costs $y. so we have the following equations from the given data

4x + 3y = 68, take this as equation 1.

9x + 2y = 77, take this as equation 2

Step 2; We multiply equation 1 with 2 and equation 2 with 3 so we can cancel out the variable y in both equations. By doing this we get

8x + 6y = 136, take this as equation 3,

9x + 2y = 77, this is equation 4.

If we subtract 4 from 3, we cancel out the y variable and can calculate the value of x.

-19x = -103 , x = \frac{-95}{-19} = 5.

Step 3; Substituting this value of x in any of the previous equations we will get x's value. Here this value of y is substituted in equation 1.

4 (5) + 3y = 68, 20 + 3y = 68 , 3y = 48, y= 16.

So we have x = $5 and y = $16.

5 0
3 years ago
Please help!!!! I don’t know which one!
Daniel [21]

The correct answer is the first choice. You can determine which angles are congruent by looking at the corresponding angles (angles that are in the same position) on the similar trapezoids). The angles would be congruent even though the shapes are not the same size.

8 0
3 years ago
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