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ZanzabumX [31]
3 years ago
6

An entomologist is studying the reproduction of ants. If an ant colony started with 50 ants, and each day, their population incr

eases by 10%, how many ants will be in the colony 5 days later? *
Mathematics
2 answers:
worty [1.4K]3 years ago
8 0

Step-by-step explanation: Ants are one of the most abundant insects on our planet and the reasons are their eusocial, complex societal behaviors and their ability to survive in many and various ecosystems. Like most other animal societies, reproduction is one of the core reasons why ants are so prevalent.

Acrobat Ant

Reproduction for ants is a complex phenomenon that involves finding, selecting and successfully fertilizing females to ensure that the eggs laid are able to survive and molt through the successive stages of the ant’s life cycle – larvae, pupae and adults.

Fofino [41]3 years ago
3 0

Answer:

81

Step-by-step explanation:

Start: 50

After 1 day: 50 * 1.1

After 2 days: 50 * 1.1 * 1.1 = 50 * 1.1^2

After 3 days: 50 * 1.1^2 * 1.1 = 50 * 1.1^3

...

After 5 days: 50 * 1.1^5 = 80.53

Answer: 81

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luda_lava [24]

Answer:

your teacher is crazy about she think you are smart

5 0
2 years ago
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Find the volume of the solid under the plane 5x + 9y − z = 0 and above the region bounded by y = x and y = x4.
svp [43]
<span>For the plane, we have z = 5x + 9y

For the region, we first find its boundary curves' points of intersection.
x = x^4 ==> x = 0, 1.

Since x > x^4 for y in [0, 1],

The volume of the solid equals

\int\limits^1_0 { \int\limits_{x^4}^x {(5x+9y)} \, dy } \, dx = \int\limits^1_0 {\left[5xy+ \frac{9}{2} y^2\right]_{x^4}^{x}} \, dx  \\  \\ =\int\limits^1_0 {\left[\left(5x(x)+ \frac{9}{2} (x)^2\right)-\left(5x(x^4)+ \frac{9}{2} (x^4)^2\right)\right]} \, dx  \\  \\ =\int\limits^1_0 {\left(5x^2+ \frac{9}{2} x^2-5x^5- \frac{9}{2} x^8\right)} \, dx =\int\limits^1_0 {\left( \frac{19}{2} x^2-5x^5- \frac{9}{2} x^8\right)} \, dx \\  \\ =\left[ \frac{19}{6} x^3- \frac{5}{6} x^6- \frac{1}{2} x^9\right]^1_0

=\frac{19}{6} - \frac{5}{6} - \frac{1}{2} =\bold{ \frac{11}{6} \ cubic \ units}</span>
8 0
3 years ago
A triangular sail has a base length of 2.5 meters.The area of the sail is 3.75 square meters.How tall is the sail?
love history [14]
Area of a triangle = 1/2 x base x height

--------------------------------------
Find Height :
--------------------------------------
3.75  = 1/2 x 2.5 x height

3.75 = 1.25 x height 

height = 3.75 ÷ 1.25

height = 3 meters

----------------------------------------------------------------------------
Answer: The height is 3 meters.
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7 0
3 years ago
The functions f(x) and g(x) are shown on the graph. F(x)= x^2 <br> What is g(x)
bearhunter [10]

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I think the answer would be A

4 0
3 years ago
10 &amp; 11 WILL GIVE BRAINLIST
ra1l [238]

Answer:

10)$38.50

11)D

Step-by-step explanation:

10) n = no. of rides

f(n) + g(n) = 1 + 2.5n

when n=15, 1 + 2.5(15)

= $38.50

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g(x) = 9x³-4x²+10x-55

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+3x²-5x+20)

= 9x³-4x²+10x-55-4x³

-3x²+5x-20

= 5x³-7x²+15x-75

(Correct me if i am wrong)

3 0
3 years ago
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