Increased dumping of sewage into a river caused an increase in parasites that attacked the local fish population. Turtles and birds that live in the same community eat the fish. What would happen between the turtles and birds if the fish population decreased by 50% as a result of the parasitism? *

A increased commensalism
B increased competition
C increased mutualism
D increased predation

Answer:

9. A. -1/4

Step-by-step explanation:

Plug the points into the equation y2-y1/x2-x1. In this case, I chose the points (0,-2) and (4,-3). This would make the equation -3--2/4-0. This would be equal to -3+2/4 or -1/4. Therefore, the slope is -1/4.

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Answer:

A. -1/4

Step-by-step explanation:

The required value of the given expression is 6x3 - 13x2 - 13x + 20. Option B is correct.

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the monomial, binomial and trinomial, etc. ax+b is a polynomial.

here,
= (3x² + x - 4)(2x - 5)
= [6x³-13x² - 13z + 20]

Thus, the required value of the given expression is 6x3 - 13x2 - 13x + 20. Option B is correct.

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Answer:

1

Step-by-step explanation:

depends if you have a table , to pick the right one always choose a one that pass more through and between the points and the one that is straight

Answer:

you got 21.5/50 on final grade

and aslo follow me for more information

Answer: x^2 (the ^ represents that the next number is an exponent)

Step-by-step explanation:

Any number squared (to the power of 2) is just itself multiplied by itself. Remember, multiplication is repeated addition and exponents are repeated multiplication.

Answer:

17.7

Step-by-step explanation:

I'm assuming you meant R(17, -2) to W(-2, 3).  Here the x-coordinate changes by 17 - (-2), or 19, and the y-coordinate by 5.  Think of these as the legs of a right triangle.  The distance between these points is the length of the hypotenuse of this triangle:  d = √(5^2 + 17^2)

or √314, which, to the nearest tenth is 17.7.

Answer:

yes

Step-by-step explanation:

yes

Answer:

I cannot tell you the answer because there isn't adequate information.

But to calculate the volume of a rectangular prism, simply multiple the length width, and height (LWH)

Answer:

lkjhgvcghjklm, bvhgyiuoklmnbgjhjk;.m, nb

Step-by-step explanation:

2 ft

Step-by-step explanation:

The height from which the beach ball was thrown happens when t = 0. So setting t = 0 to get y, we get

y = [-16(0) - 2](0 - 1)

= (-2)(-1)

= 2 ft

Therefore, the ball was thrown from a height of 2 ft.

The inequality equation is x ≥ ( by - c - d ) / a

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

by - d ≤ ax + c    be equation (1)

On simplifying the equation , we get

Subtracting c on both sides of the equation , we get

by - d - c ≤ ax

And , ax ≥ by - d - c

Divide by a on both sides of the equation , we get

x ≥ ( by - c - d ) / 2

Hence , the inequality is x ≥ ( by - c - d ) / a

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Answers:   49,   1,   49

Those values go in the blanks from left to right

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Explanation:

The rule we use is x^(-k) = 1/(x^k)

That means if we're evaluating something like 7^(-1), then it's the same as 1/(7^1) = 1/7 which explains how x = -1 leads to y = 1/7.

Similarly, 7^(-2) = 1/(7^2) = 1/49 is the y value when x = -2. So you'll type 49 into the first box to fill in that missing denominator.

Raising any nonzero value to the zeroth power leads to 1. That rule is x^0 = 1 where x can be anything you want but it can't be zero. Therefore 7^0 = 1 goes in the second box.

Lastly, 7^2 = 7*7 = 49 will go in the third box.

Answer:

Time taken to elapse the remaining $861  = 10.25 days

Step-by-step explanation:

Assuming that I am spending at a rate of -x dollars per day

Let initial amount be A

The rate of expenditure = 1281-861/5 = 84 dollars per day

Time taken to elapse the remaining $861 = $861/$84 per day

= 10.25 days

Answer:

Look at the image.

Step-by-step explanation:

(36 ÷ 4) - (36 ÷ 9)

9 - 4

5

(8 × 3) - 12 = 12

24 - 12

12

Answer:

The dimensions of the square, that will result in a box of maximum volume is a square with side length of approximately 1.585 inches

Step-by-step explanation:

The  given dimension of the steel sheet are;

The width = 8.5 inches

The length = 11 inches

Let 'x' represent the side length of the squares cut out, we have;

The length of the box formed, l = 11 - 2·x

The width of the box formed, w = 8.5 - 2·x

The height of the box, h = x

The volume of the box, V = (11 - 2·x) × (8.5 - 2·x) × (x) = 4·x³ - 39·x² + 93.5·x

The maximum or minimum volume is found from dV/dx = 0 at max. or min.

dV/dx = d(4·x³ - 39·x² + 93.5·x)/dx = 12·x² - 78·x + 93.5 = 0

Which gives;

x = (78 ± √((-78)² - 4×12×93.5))/(2 ×12)

x = 4.915 or 1.585

When x = 4.915, V = 4 × 4.915³ - 39 × 4.915² + 93.5 × 4.915 = -7.65

When x = 1.585, V = 4 × 1.585³ - 39 × 1.585² + 93.5 × 1.585 = 66.15

Therefore, the local maximum occurs at x ≈ 1.585

Therefore, the dimensions of the square, 'x' that will result in a box of maximum volume is x ≈ 1.585 inches.

Answer:

y <= 0

Step-by-step explanation:

it's shaded when the value of y is 0 or below 0 (the vertical axis)

Answer:

C (circumference) =2×π×r

we've got a 30-60-90 triangle

which means 9=d√3, d=5.19 exact inches

or ≈5.20 inches

d=2r, r=5.20÷2≈2.60 inches

C=2×3.14×2.60≈16.328

Answer:

$10,400

Step-by-step explanation:

Answer:

its basically the relationship between sets of numbers. the anwser is D if the line on the graph is curved it is a function and if the number repeat on the x value it is a function.

-by-step explanation:

Answer:

D) Identifies the transaction and is located at the top right corner of the check

Step-by-step explanation:

The check number on a check is the number located at the top right corner of the check, and it can also be found at the bottom of the check, located in lower right corner after the routing number and the account number

The check number aids in the tracking and identifying bank transactions such as to identify checks that the bank has processed and to know outstanding checks that are yet to be processed.

The check number also aids in balancing of the checkbook.

Therefore, the check number on a check identifies the transactions and is located at the top right corner of the check.

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We're asked to find the slope:

m = slope

m = (y2-y1)/(x2-x1)

m = (50-20)/(4-2)

m = 30/2

m = 15

The rate of change is 15. Each time x goes up by 1, y increases by 15.

slope = rise/run = 15/1

rise = 15, run = 1

I used the middle two columns of the table, but you could use any two columns you want. I subtracted the y values together to get the change in y, which is the rise. The change in x, aka run, is the difference in x values. You must subtract the values in the same order. If done in the wrong order, you might get -15 as the incorrect answer.

Answer:

-0.5

Step-by-step explanation:

(3-2)=1

(-4-1)=-5

1÷(-5)= -0.5

The equation should be rewritten by completing the square as x² + 18x + (18/2)² = 8 + (18/2)².

The solutions to the equation is x = -9 + √89 or x = -9 - √89.

In Mathematics and Geometry, the standard form of a quadratic equation is represented by the following equation;

ax² + bx + c = 0

Next, we would solve the given quadratic equation by using the completing the square method;

x² - 6 = 2 - 18x

x² + 18x = 8

In order to complete the square, we would have to add (half the coefficient of the x-term)² to both sides of the quadratic equation as follows:

x² + 18x + (18/2)² = 8 + (18/2)²

x² + 18x + 81 = 8 + 81

Part 2.

x² + 18x + 81 = 89

x² + 9x + 9x + 81 = 89

x(x + 9) + 9(x + 9) = 89

(x + 9)(x + 9) = 89

x = -9 + √89 or x = -9 - √89.

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Answer:

$33.27

Step-by-step explanation: