Please help!!!!!!
Which of these are examples of mutually beneficial interactions? Choose all that apply.
A. Ants living in special hollow thoms in a tree rush out and sting plant-eaters.
B. An orchid grows high in a tree to get more sunlight, but it does not affect the tree.
c. Wolves eat the deer that cannot run as fast as the other deer.
D. A bee gets nectar and pollen from the clover flowers in a meadow.
E. A tick bites a dog and drinks the dog's blood.

Answer:

I would say, spend time with your family and friends and get ready for the time, I'm so sorry that this is happening to you and i hope you had an amazing life.

Answer:

C2- 65° C3- 84°

Step-by-step explanation:

for C2:

the 2 parallel lines and the one cutting fully through form a transversal.

One of the rules for this is that co-interior angles (the 2 on the same side of the intersecting line) add to 180°.

This means that the angle at the top left (still within the triangle) should be 50° (180-121).

The other angle within the triangle (not the x one) is vertically opposite (opposite or "diagonal") with the 65°.

Vertically opposite angles have the same value, meaning the second angle is 65°.

In a triangle, the 3 angles add to 180. In this case, 50+65+x=180, which can be simplified to 115+x=180. Subtracting 115 from both sides gives x=65°.

For C3-

Imagine a parallel line is going through the angle x, splitting it into 2 angles (let's call them a and b).

With a being the top half, you can use the 133° given to help you. Like before, vertically opposite angles are the same, so the value "diagonal" to 133° should also be 133°. Using the co-interior rule, a should be 180-133, which gives 47°.

For b, we can skip this first step entirely. Since 143 and b are co-interior, 180-143=b, therefore b=37°.

To use these, remember a+b=x, which by subbing in the values gives 47+37=x, simplified to x=84°.

** I suggest revising the types of transversal relationships (corresponding, alternate, vertically opposite and co-interior). It's difficult explaining this without diagrams, but if you need more clarification, I'm happy to help!

The domain of the square root function is:

x ≥6

Remember that for any function y = f(x), we define the domain as the set of the possible inputs of the function. That is, the set of the possible values of x.

Here we have the square root function:

f(x) = √(x - 6)

Now, remember that the argument of a square root must be zero or larger, then to find the domain we need to solve:

x - 6 = 0

x = 6

Then the domain is the set of all the values equal to or larger than 6.

The domain is: x ≥6

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Answer:

angle degrees is 60

so the answer would be A

Step-by-step explanation:

because there are 6 sides, 360 is divided by 6.

Answer:

The correct value is t* = 2.492.

Step-by-step explanation:

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 25 - 1 = 24

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 24 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 2.492, which is the answer to this question.

Answer:

Answer 3.0/528 claudiasai 88-2n + 2927,25,23,21,19- 2 difference- 2n + 29-2 x (1 ) + 29 =27-2 x (3) +29 =23

Step-by-step explanation:

Write a recursive formula for each sequence. 3. 1, 6, 11, 16, ... SOLUTION: ... Check for a common ratio by dividing each term by the term that precedes it. = 3 ;. = 3 ; ... 19. 100, 80, 64, 51.2, ... SOLUTION: Subtract each term from the term that follows it. ... Patrick thinks that the sequence can be written as a recursive formula​.

Answer:

[tex]a_{n}[/tex] = 27 - 8n

Step-by-step explanation:

There is a common difference between consecutive terms, that is

11 - 19 = 3 - 11 = - 8

This indicates the sequence is arithmetic with nth term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 19 and d = - 8 , then

[tex]a_{n}[/tex] = 19 - 8(n - 1) = 19 - 8n + 8 = 27 - 8n ← general rule

Hello,

Perimeter of a rectangle : 2 * (length + width)

Area of a rectangle : length * width

We know that the perimeter of the rectangle is equal to 10 feet and its area is equal to 6 square feet.

Let's call x the length of the rectangle and y the width of the rectangle. The pair (x ; y) verifies the following system :

2 (x + y) = 10 ⇔ x + y = 5 ⇔ x = 5 - y

x * y = 6 ⇔ (5 - y) * y = 6 ⇔ 5y - y² - 6 = 0 ⇔ y² - 5y + 6 = 0

⇔ y² - 3y - 2y + 6 = 0 ⇔ y(y - 3) - 2(y - 3) = 0 ⇔ (y - 2)(y - 3) = 0

⇔ y = 2 ou y = 3

x = 5 - y ⇔ x = 5 - 2 or x = 3 - 2 ⇔ x = 3 or y = 2

S = {(3 ; 2) ; (2 ; 3)}

The width of the rectangle is 2 or 3 feet.

:-)

Answer:

The solution is (5, 3)

Step-by-step explanation:

To solve this system of linear equations, let's use elimination by addition and subtraction.  This approach is particularly easy because one equation already has +y and the other -y, summing up to zero:

4x+y=23

3x-y=12

---------------

7x   = 35

Then x must be 5.  

Substituting 5 for x in the first equation, we get

4(5) + y = 23.  Then 20 + y = 23, or y = 3.

The solution is (5, 3)

Answer:

In the questions you are asked to evaluate by substituting the variables to the given number.

PLZ EXCUSE MY HANDWRITING.

Answer:

2r² - 60r - 45 = 0

Step-by-step explanation:

Hang on this is going to be convoluted

------------------------------

Area of pond

a = πr²

Area of path

a = πr²/10

Combined Area

a = πr² + πr²/10

a = π(r² + r²/10)

---------------------------

The Combined Area can also be expressed as

a = π(r + 1.5)²

a = π(r² + 3r + 2.25)

-----------------------------

Set the areas equal

π(r² + r²/10) = π(r² + 3r + 2.25)

Divide both sides by π

r² + r²/10 = r² + 3r + 2.25

Subtract r² from both sides

r²/10 = 3r + 2.25

Multiply both sides by 20

2r² = 60r + 45

Subtract 60r + 45 from both sides

2r² - 60r - 45 = 0

Answer:

The answer is 4/7 and the property used is the distributive property

Step-by-step explanation:

Recall from the distributive property;

a * (b + c) = ab + ac

Applying same here, we have it that;

4/7 (-3/5 + 8/5)

= 4/7 * ((-3 + 8)/5)

= 4/7 * 5/5

= 4/7 * 1 = 4/7

Answer:

2x^3-2x^2+6x

Step-by-step explanation:

The area of a rectangle is

A = l*w

A = ( x^2 -x+3) * (2x)

Multiply

A = x^2 *2x -x*2x +3 *2x

A = 2x^3-2x^2+6x

Answer:

B

Step-by-step explanation:

it is b because I got it right on Edu and it was on quiz let

Step-by-step explanation:

-5x + 2(x -4 -2x) > 5 - 2x -2

-5x + 2x -8 -4x > 3 - 2x

-7x -8 > 3 - 2x

-5x > 11

x < 11:-5

x < -2.2

Answer:

x ≤ 3

Step-by-step explanation:

We are given these three people age below:

We define the age of Jim as any variable, because the problem doesn't give any specific age. I will define Jim's age as x.

Next, Carla is 5 years older than Jim. That means if Carla is 5 years older, her age would be x+5.

Then Tomy is 6 years older than Carla. That means the age would be 6+(x+5).

The sum of their three ages is 31 years old. That means we add all these ages and equal to 31.

[tex] \large{x + x + 5 + 6 + x + 5 = 31}[/tex]

Combine like terms and solve for x.

[tex] \large{3x + 16 = 31} \\ \large{3x = 31 - 16} \\ \large{3x = 15} \\ \large{x = 5}[/tex]

Then we substitute the value of x in ages to find these three people ages.

Answer

The lengths of the horizontal sides of the science class is larger than the

length of the horizontal side of the math class.

Reasons:

The given vertices of the science classroom are;

(-3·x₁, y₁), (-3·x₂, y₂), (-3·x₃, y₃), and (-3·x₄, y₄)

The coordinates of the vertices math classroom are;

(x₁, y₁), (x₂, y₂), (x₃, y₃), and (x₄, y₄)

Whereby x₁ = x₄, we have;

Length of the vertical side of the rectangular math class = y₁ - y₄

Length of the horizontal side, [tex]L_M[/tex] = x₂ - x₁

Similarly;

The length of the horizontal side of the science class is, [tex]L_S[/tex] = -3·x₂ - (-3·x₁)

Therefore;

[tex]L_S[/tex] = 3·(x₁ - x₂) = [tex]\mathbf{3 \cdot L_M}[/tex]

The length of a side of the science is three times the length of the side of

the math class, which gives that the dimensions of the science class are not

the same as the the dimensions of the math class.

Therefore;

The science class and the math class are not congruent

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Answer:

D) x = 4

Step-by-step explanation:

18 - 4x = 10 - 2x

10 - 2x = 18 - 4x

10 - 2x + 4x = 18 - 4x + 4x

10 + 2x = 18

10 - 10 + 2x = 18 - 10

2x = 8

2x ÷ 2 = 8 ÷ 2

x = 4

Answer:

-2/3x is the slope

Step-by-step explanation:

y=mx+b is the equation to follow

Answer:

Oppositeleg

adjacenleg

Answer:

option 1

Step-by-step explanation:

Just remember this to get the trigonometric ratio in a right triangle :

    Old Henry And His Old Aunt

O for opposite

H for hypotenuse

A for Adjacent

Sin = O/ H

Cos = A /H

Tan = O /A

Answer:

The answer is below

Step-by-step explanation:

Plotting the following constraints using the online geogebra graphing tool:

x + 3y ≤ 9         (1)

5x + 2y ≤ 20    (2)

x≥1 and y≥2      (3)

From the graph plot, the solution to the constraint is A(1, 2), B(1, 2.67) and C(3, 2).

We need to minimize the objective function C = 5x + 3y. Therefore:

At point A(1, 2): C = 5(1) + 3(2) = 11

At point B(1, 2.67): C = 5(1) + 3(2.67) = 13

At point C(3, 2): C = 5(3) + 3(2) = 21

Therefore the minimum value of the objective function C = 5x + 3y is at point A(1, 2) which gives a minimum value of 11.

Answer:

x=36.08

Step-by-step explanation:

Given: From the given triangle DEF, ∠E=[tex]90^{0}[/tex]

DF=55

and DE= x

To find the value of x

According to trigonometry rule,

[tex]\frac{x}{55} =cos49^{0} \\x=55(cos 49^{0} )\\x=55(0.656)\\x=36.08[/tex]

Therefore, the value of x will be 36.08

Answer: A, B, C

Step-by-step explanation:

AC is half of AB, so AB = 2AC

1/2 of AB will be AC, and AB

AC = CB

Answer:

17%

Step-by-step explanation:

Percent decrease

[tex] = \frac{72000 - 60000}{72000} \times 100 \\ \\ = \frac{12000}{72000} \times 100\\ \\ = \frac{1200000}{72000} \\ \\ = 16.67 \% \\ \\ \approx \: 17 \%[/tex]

Answer:

see explanation

Step-by-step explanation:

(a)

The consecutive angles are supplementary, sum to 180° , then

3y + 2y - 5 = 180

5y - 5 = 180 ( add 5 to both sides )

5y = 185 ( divide both sides by 5 )

y = 37

Then ∠ A = 3y = 3 × 37 = 111

The opposite angles are congruent , then

3x + 3 = 111 ( subtract 3 from both sides )

3x = 108 ( divide both sides by 3 )

x = 36

---------------------------------------------------------------------

(b)

The diagonals bisect each other , so

x + 8 = 16 - x ( add x to both sides )

2x + 8 = 16 ( subtract 8 from both sides )

2x = 8 ( divide both sides by 2 )

x = 4

and

5y + 4 = 2y + 13 ( subtract 2y from both sides )

3y + 4 = 13 ( subtract 4 from both sides )

3y = 9 ( divide both sides by 3 )

y = 3

Answer:

c y=1/2x+40

because it's positive (up). /