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sladkih [1.3K]
2 years ago
11

6.089 x 3.4 give explanation

Mathematics
2 answers:
kati45 [8]2 years ago
6 0

Answer:

20.7026

Step-by-step explanation:

zhannawk [14.2K]2 years ago
6 0

Answer:

6.089 x3.4 = 20.7026

Step-by-step explanation:

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There were 200,000 animals of a certain species in 1980. Since then,this number has decreased by 4.5% each year. Approximately h
g100num [7]

Answer: Approximately 25187 animals of this species will be left in 2025

Step-by-step explanation:

We would apply the formula for exponential decay which is expressed as

y = b(1 - r)^x

Where

y represents the population of animals after x years.

x represents the number of years.

b represents the initial population of animals.

r represents rate of decay.

From the information given,

b = 200000

r = 4.5% = 4.5/100 = 0.045

x = 2025 - 1980 = 45 years

Therefore,

y = 200000(1 - 0.045)^45

y = 200000(0.955)^45

y = 25187

8 0
3 years ago
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Polygon C and polygon D are similar. The perimeter of polygon C is 192 inches, and the perimeter of polygon D is 48 inches. If o
Marianna [84]

Answer:

B. 2 in.

Step-by-step explanation:

First, put the two perimeters together to form a fraction.

192/48, which can simplify to 4/1

Now, following the order in which you put the perimeters (I used C/D,) set it equal to the sides.

\frac{4}{1}  =  \frac{8}{x}

Now, cross multiply. (multiply 1 and 8, 4 and x.)

4x = 8

Now, solve.

x=2 inches.

3 0
2 years ago
Find all the zeros of <br><img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%7B6x%7D%5E%7B4%7D%20%20%20-%20%20%7B7x%7D%5E%7B
Svetradugi [14.3K]

Answer:

  {-1, 1/2, 2/3, 1}

Step-by-step explanation:

I find a graphing calculator to be a most useful tool for problems like this. (See attached.)

_____

First of all, observe that the constant is -2, so 0 is not a zero.

It is often useful to look at the sum of coefficients. Here, that is 0, indicating 1 is a zero.

You can divide that out, or simply continue by looking at the sum of coefficients with odd-degree terms negated. Then you have 6 +7 -4 -7 -2 = 0, indicating -1 is also a zero.

__

At this point, it can be useful to divide out the factors you know. The synthetic division tableaus attached show that work. First is division by (x+1), then by (x -1).

The result of doing that is the quadratic ...

  6x^2 -7x +2 = 0

This can be factored ...

  (6x^2 -3x) -(4x -2) = 0 . . . . . . rewrite -7x and group term pairs

  3x(2x -1) -2(2x -1) = 0 . . . . . . . factor each pair

  (3x -2)(2x -1) = 0 . . . . . . the factorization of the remaining quadratic

The zeros of this are the values of x that make the factors zero: 2/3 and 1/2.

The zeros of the given function f(x) are x ∈ {-1, 1/2, 2/3, 1}.

5 0
3 years ago
Find two consecutive integers such that the larger is nine more than twice the smaller
Mars2501 [29]
If x is one integer and x+1 is the next, we have 2*x+9=x+1. Subtracting 9 and x from both sides, we get x(the smaller number)=-8 and the larger number is -7. 
7 0
3 years ago
Log264 = 6 if and only if ab = c. find the values of a, b and c that make the statement true
goblinko [34]

\log_ac=b\iff a^b=c

\log_264=6\iff2^6=64\\\\a=2,\ b=6,\ c=64\\\\2^6=2\cdot2\cdot2\cdot2\cdot2\cdot2=64

6 0
3 years ago
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