the length of the rectangle is 3x+5y and the width is 2x+y determine the perimeter of the rectangle

The population before the decrease was 6600 birds.

To find the initial population of birds on the island before the decrease, you can use the following steps:

1. Represent the decrease percentage as a decimal: 2.5% = 0.025
2. Since the population decreased by 2.5%, the remaining percentage is 100% - 2.5% = 97.5% or 0.975 as a decimal.
3. Let the initial population be represented by the variable x. After the 2.5% decrease, the population is 0.975x.
4. Set up the equation: 0.975x = 6435
5. Solve for x by dividing both sides by 0.975: x = 6435 / 0.975
6. Calculate the result: x = 6600

The population before the decrease was 6600 birds.

"To learn more about Initial population here"

https://brainly.com/question/29326858

(#SPJ11).

The vοlume οf the prism is 5,040 cubic meters.

The vοlume οf a prism is the amοunt οf space enclοsed by the sοlid. Tο calculate the vοlume οf a prism, we multiply the area οf the base οf the prism by its height. If the prism is a right rectangular prism (i.e., a bοx), then the vοlume can be calculated using the fοrmula:

Vοlume οf a rectangular prism = Length x Width x Height

Vοlume οf the prism:

The vοlume οf a right rectangular prism can be calculated by multiplying its length, width, and height. Therefοre, the vοlume οf the given prism is:

35 meters x 9 meters x 16 meters = 5,040 cubic meters

Vοlume οf the cube:

The vοlume οf a cube can be calculated by multiplying the length οf its side by itself three times. Therefοre, the vοlume οf the given cube is:

7 meters x 7 meters x 7 meters = 343 cubic meters

Tοtal vοlume οf the cοmpοund οbject:

Tο find the tοtal vοlume οf the cοmpοund οbject, we need tο add the vοlumes οf the prism and the cube since they are stacked οn tοp οf each οther. Therefοre, the tοtal vοlume οf the cοmpοund οbject is:

5,040 cubic meters + 343 cubic meters = 5,383 cubic meters

Therefοre, the vοlume οf the prism is 5,040 cubic meters.

Learn more about volume of a prism, by the following link.

https://brainly.com/question/1682347

#SPJ1

Answer:

[3,∞)

3 ≤y<∞

Step-by-step explanation:

The range is the values the output takes

The y value goes from 3 ( includes 3) to positive infinity

[3,∞)

3 ≤y<∞

Answer:

Step-by-step explanation:

Answer:

The common ratio is 5

Step-by-step explanation:

To find the ratio, take the second term and divide by the first term

85/17 = 5

To verify take the third term and divide by  the second term

425/85 =5

The common ratio is 5

Answer:

B

Step-by-step explanation:

i took the quiz

Answer:

The answer is B 18ft

Step-by-step explanation: I took the test and i got 100%

Answer:

The segment that connects the midpoints of the legs of a trapezoid is called the median of the trapezoid.

Step-by-step explanation:

The relationship between the ratios of sin x° and cos yº is that they are reciprocals. The correct answer is option c. The ratios of sin x° and cos yº are reciprocals of each other.

In trigonometry, sin x° represents the ratio of the length of the side opposite the angle x° to the length of the hypotenuse in a right triangle. Similarly, cos yº represents the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle.

Since the hypotenuse is the same in both cases, the ratios sin x° and cos yº are related as reciprocals. This means that if sin x° is equal to 12/13, then cos yº will be equal to 13/12. The reciprocals of the ratios have an inverse relationship, where the numerator of one ratio becomes the denominator of the other and vice versa.

It's important to note that the signs of the ratios can vary depending on the quadrant in which the angles x° and yº are located. However, the reciprocal relationship remains the same regardless of the signs.

Learn more about hypotenuse here:

https://brainly.com/question/16893462

#SPJ11

Answer:

angle-side-angle. that's my answer

Answer:

I choose option C

Step-by-step explanation:

I really not sure.

sort of 50/50.

so if I am right plz give brainliest

Answer: The answer is B

Step-by-step explanation:

I had the same test

Answer:

(2, -1, -4).

Step-by-step explanation:

-5x - 4y + 6z = -30

4x + 4y + 2z = -4

-3x - 4y +z = -6

Adding the first and second equation eliminates y:

-x + 8z = -34

Adding the second and third equation eliminates y:

x + 3z = -10

Adding theses last 2 equations eliminates x:

11z = -44

z = -4.

Substitute for z in the last equation:

x + 3(-4) = -10

x = -10 + 12 = 2.

Finally substituting for x and z in the first equation in the question:

-5(2) - 4y + 6(-4) = -30

-10 - 4y  - 24 = -30

-4y = -30 + 24 + 10 = 4

y = -1.

Answer:

Mrs. Williams made her homemade chicken soup. She made 6 3/4 cups of soup. Each serving size was 1 1/8 cup. = 6

Step-by-step explanation:

this picture below shows how to solve the problem step by step hope this really helps !

Answer:

8x^3 of b number is the answer of that simplify

The equilibrium constant can be determined using the concentrations of reactants and products at equilibrium. In this case, the initial concentrations of substances A, B, and C are given as [A] = 0.50 M, [B] = 0.75 M, and [C] = 1.2 M, while the equilibrium concentration of C is [C] = 1.0 M.

The equilibrium constant, denoted as K, is defined as the ratio of the product of the concentrations of the products to the product of the concentrations of the reactants, each raised to the power of their stoichiometric coefficients. In this case, the balanced chemical equation is not provided, so we cannot directly calculate the equilibrium constant.

To determine the equilibrium constant, we need the balanced chemical equation representing the reaction. Once the balanced equation is available, we can determine the stoichiometric coefficients and calculate the equilibrium constant using the concentrations at equilibrium. Without the specific reaction, we cannot provide a numerical value for the equilibrium constant.

Learn more about ratio here: https://brainly.com/question/31945112

#SPJ11

Step-by-step explanation:

In this section we introduce the ideas of sets and Venn diagrams. A set is a list of objects in no particular order; they could be numbers, letters or even words. A Venn diagram is a way of representing sets visually.

To explain, we will start with an example where we use whole numbers from 1 to 10.

We will define two sets taken from this group of numbers:

Set A = the odd numbers in the group = { 1 , 3 , 5 , 7 , 9 }

Set B = the numbers which are 6 or more in the group = { 6 , 7 , 8 , 9 , 10 }

Some numbers from our original group appear in both of these sets. Some only appear in one of the sets.

Some of the original numbers don't appear in either of the two sets. We can represent these facts using a Venn diagram.

The two large circles represent the two sets.

The numbers which appear in both sets are 7 and 9. These will go in the central section, because this is part of both circles.

The numbers 1, 3 and 5 still need to be put in Set A, but not in Set B, so these go in the left section of the diagram.

Similarly, the numbers 6, 8 and 10 are in Set B, but not in Set A, so will go in the right section of the diagram.

The numbers 2 and 4 are not in either set, so will go outside the two circles.

The final Venn diagram looks like this:

We can see that all ten original numbers appear in the diagram.

The numbers in the left circle are Set A

{ 1 , 3 , 5 , 7 , 9 }

The numbers in the right circle are Set B

{ 6 , 7 , 8 , 9 , 10 }

In the rest of this section you will practise filling in Venn diagrams and using them.

The intersection of sets A and B is those elements which are in set A and set B. A diagram showing the intersection of A and B is on the left.

The union of sets A and B is those elements which are in set A or set B or both. A diagram showing the union of A and B is on the right.

To calculate the expected value E(X) of the given random variable X, we need to consider all the possible outcomes and their respective probabilities.

When two dice are rolled, there are 36 equally likely outcomes since each die has 6 possible outcomes (1, 2, 3, 4, 5, or 6).

There are 6 possible doubles outcomes: (1, 1), (2, 2), (3, 3), (4, 4), (5, 5), and (6, 6).

Each double outcome has a probability of 1/36 since there are 36 equally likely outcomes.

So the total probability of rolling doubles is (6/36) = 1/6.

There are 30 possible outcomes that are not doubles since we subtract the 6 doubles outcomes from the total 36 outcomes.

Each non-double outcome has a probability of 1/36 since there are 36 equally likely outcomes.

So the total probability of not rolling doubles is (30/36) = 5/6.

In this case, the lower number and the common number are the same.

The expected value in this case is the average of the possible outcomes, which is (1 + 2 + 3 + 4 + 5 + 6) / 6 = 3.5.

The expected value in this case is the weighted average of the possible outcomes, taking into account their respective probabilities:

E(X) = (1 * 1/6) + (2 * 3/36) + (3 * 5/36) + (4 * 7/36) + (5 * 9/36) + (6 * 11/36)

= 1/6 + 6/36 + 15/36 + 28/36 + 45/36 + 66/36

= (1 + 6 + 15 + 28 + 45 + 66) / 36

= 161/36            

≈ 4.47  

To summarize, the expected value E(X) of the random variable X, which represents the lower number when two dice are rolled or the common number if doubles are rolled, is approximately 4.47.

Learn more about probability here : brainly.com/question/30034780

#SPJ11

A sequence of transformation that would move ΔABC onto ΔDEF is: D. a dilation by a scale factor of 1/2, centered at the origin, followed by a 90° clockwise rotation about the origin.

In Geometry, a dilation is a type of transformation which typically changes the size of a geometric object, but not its shape.

In this scenario an exercise, we would dilate the coordinates of the pre-image by applying a scale factor of 1/2 that is centered at the origin as follows:

Ordered pair B (-4, 2) → Ordered pair B' (-4 × 1/2, 2 × 1/2) = Ordered pair B' (-2, 1).

In Mathematics and Geometry, a rotation can be defined as a type of transformation which moves every point of the object through a number of degrees around a given point, which can either be clockwise or counterclockwise (anticlockwise) direction;

(x, y)                               →            (y, -x)

Ordered pair B' (-2, 1)   →          E (1, 2)

Read more on dilation and scale factor here: brainly.com/question/4421026

#SPJ1

Answer:

d (or V in the picture) = 16

Step-by-step explanation:

Because the two triangle are similar, the ratios of each of the side lengths should be equal.  Therefore, 8/1 should be equal to d/2.

1.) Set up equality of ratios: 8/1 = d/2

2.) Cross multiply: 8*2 = d*1

3.) 16 = d

Answer: x =5

Step-by-step explanation:

subtract 7 on both sides than divide by 2

Answer:

x = 5

Step-by-step explanation:

Given: 2x + 7 = 17

1. Subtract 7 from both sides

2x + 7 - 7 = 17 - 7

2x = 10

2. Divide both sides by 2

2x ÷ 2 = 10 ÷ 2

x = 5

Final answer: x = 5

Learn more about solving equations here:
brainly.com/question/15154296

Answer:

We can use the sine law to find h. First, we determine the angle between the line of sight and h:

180 - 90 - 39 = 51 degrees

The sine law states that the ratio of one triangle's angle to the opposite side's length is the same as another angle to its opposite side's length, so we can solve for h as follows:

h/sin(39) = 500/sin(51)

h = 500*sin(39)/sin(51)

When we round to the nearest whole number, we get h = 405 ft.

Step-by-step explanation:

The amplitude is the value that the cosine is being multiplied by.

The general equation of a sinusoid is

\( a \cos(b(x + c) ) + d\)

where a is the amplitude

\( \frac{2\pi}{ |b| } \)

is the period

-c is the phase shift

d is the midline(vertical shift)

Here the amplitude is -1/2 so b is the correct answer.

Answer:

the amplitude of the function that is y= -1/2 cos x, is 1/2.

Step-by-step explanation:

Answer:

\(f(10) \: is \: \: - 183\)

Step-by-step explanation:

\(f(x) = { - 2x}^{2} + 17\)

Find f(10) ?

\(f(x) = { - 2x}^{2} + 17\)

Substitute x = 10

\(f(10) = - 2 {(10)}^{2} + 17\)

\( f(10) = - 2(100) + 17\)

\(f(10) = - 200 + 17\)

\( \boxed{f(10) = - 183}\)

The derivative function is given as

and f(0) = - 1 and f'(0) = 3

To determine the function,

It is also given that f(0) = - 1.

Take the integral and find the function

Then the function is determined as

Hence the function is determined as

Answer:

264 in²

Step-by-step explanation:

The shaded area is the area of the rectangle subtract the area of the square.

shaded area = (20 × 15) - (6 × 6) = 300 - 36 = 264 in²

Answer:

Yes. All real numbers are either rational or irrational.

Step-by-step explanation:

The set of all irrational numbers is commonly defined as the set of all real numbers that are not rational.

Let \(\mathbb{R}\) denote the set of all real numbers. Let \(\mathbb{Q}\) denote the set of all rational numbers.

For any given real number \(x\) (\(x \in \mathbb{R}\),) either \(x\!\) is rational (\(x \in \mathbb{Q}\)) or \(x\!\!\) isn't rational (\(\lnot (x \in \mathbb{Q})\), such that \(x \not\in \mathbb{Q}\) and thus \(x \in (\mathbb{R} \backslash \mathbb{Q})\).)

Assume that \(x\) isn't a rational number. By the definition of rational numbers, since \(x\!\!\) is a real number but not a rational number (\(x \in (\mathbb{R} \backslash \mathbb{Q})\),) \(x\!\) would be an irrational number.

Therefore, either \(x\) is rational or \(x\!\) is irrational. Every real number would either be rational or irrational.

Answer its (-2,5)

if its on q2

Let:

After a reflection across the line y = x:

Based on the information given, it should be noted that the area of the pages will be 112cm².

Since the perimeter is given as 44cm, the dimensions of the pages will be 8cm and 14cm.

Therefore, the area of the pages will be calculated thus:

= Length × Width

= 8cm × 14cm

= 112cm²

Therefore, it can be concluded that the area of the pages will be 112cm².

Learn more about perimeter on:

https://brainly.com/question/16596982

Answer:

t think from 50% to 75% that is my answer