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algol13
3 years ago
11

Of all the species in the world, 3 out of every 5 are insects. What percentage of species are insects?

Mathematics
1 answer:
Anni [7]3 years ago
3 0

Answer:

perhaps 60%?

Step-by-step explanation:

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Find the sumofthe geometrical progression of five terms, of which the first term is 7 and the multiplier is 7.Verify that the su
777dan777 [17]

Answer:

The sum of first five term of GP is 19607.

Step-by-step explanation:

We are given the following in the question:

A geometric progression with 7 as the first term and 7 as the common ration.

a, ar, ar^2,...\\a  = 7\\r = 7

7, 7^2, 7^3, 7^4...

Sum of n terms in a geometric progression:

S_n = \displaystyle\frac{a(r^n - 1)}{(r-1)}

For sum of five terms, we put n= 5, a = 7, r = 7

S_5 = \displaystyle\frac{7(7^5 - 1)}{(7-1)}\\\\S_5 = 19607

The sum of first five term of GP is 19607.

Verification:

2801\times 7 = 19607

Thus, the sum is equal to product of 2801 and 7.

7 0
3 years ago
The graph of f(x) is obtained by reflecting the graph of g(x)=3|x| over the x-axis.
Alinara [238K]

Answer:

Choice B), f(x) = -3|x|.

Step-by-step explanation:

Each point on the graph of g(x) can be represented as (x, g(x)).

When the graph of g(x) is reflected over the x-axis, each point on the graph is also reflected over the x-axis. The x-coordinate of each point will not change but the sign in front of the y-coordinate will flip. For example, 1 (same as +1) will become -1, and vice versa. In general, (x, g(x)) will become (x, -g(x)).

On the other hand, points on the graph of f(x) can be represented as (x, f(x)). f(x) is the reflection of g(x), so (x, -g(x)) and (x, f(x)) shall be equivalent. In other words,

f(x) = -g(x) = - 3|x|.

5 0
3 years ago
Q4.A/Find the linearization L(x, y) of the function f(x, y) = (x + y + 2)² at p. = (1,2)
Dafna11 [192]

Answer:

Find the linearization L(x,y) of the function at each point. f(x,y) = x2 + y2 + 1 a. (4,0) b. (2,0) a. L(x,y) = Find the linearization L(x,y,z) of the function f(x,y,z) = 1x2 + y2 +z2 at the points (7,0,0), (3,4,0), and (4,4,7). The linearization of f(x,y,z) at (7,0,0) is L(x,y,z)= (Type an exact answer, using radicals as needed.)

3 0
3 years ago
80 people were asked which was their favourite animal.
Alex787 [66]

Answer:

(a)Cat

(b)8 animals

(c)6 people

Step-by-step explanation:

From the attached diagram:

Let the \square be x.

Half of \square =x/2

From the pictogram, we then have:

Cat = x+\frac{x}{4} \\Dog=x+\frac{3x}{4}\\Giraffe=2x+\frac{x}{2}\\Monkey =x+\frac{x}{2}\\Dolphin=3x

Therefore:

x+\frac{x}{4} +x+\frac{3x}{4}+2x+\frac{x}{2}+x+\frac{x}{2}+3x=80\\8x+\frac{x}{4}+\frac{3x}{4}+\frac{x}{2}+\frac{x}{2}=80\\10x=80\\x=8

So we have the following numbers

Cat = x+\frac{x}{4} =8+\frac{8}{4}=10\\Dog=x+\frac{3x}{4}=8+\frac{3*8}{4}=14\\Giraffe=2x+\frac{x}{2}=2*8+\frac{8}{2}=20\\Monkey =x+\frac{x}{2}=8+\frac{8}{2}=12\\Dolphin=3x=3*8=24

(a)Cat was the least popular

(b) \square represents 8 animals

(c)

Number of People who preferred giraffe=20

Number of People who preferred dogs=14

Difference=20-14=6

Therefore, 6 more people preferred  giraffes than dogs.

7 0
3 years ago
Mr. And Mrs. Jones wanted a fun day with their two children. An adult ticket to Bush Gardens is $20. A child's ticket is 8 dolla
posledela

Answer:

$64

Step-by-step explanation:

2 adults=$40

2 children= $40-16=$24

40+24=$64

5 0
3 years ago
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