*see image* The number of wolves in a forest
increases by 25% each year.
This year, there are 400 wolves in the
forest.
Calculate the number of wolves that there
will be in the forest
a) after 1 year.
b) after 2 years.

Answer:

[tex]y = \frac{3}{2} x + 2[/tex]

Step-by-step explanation:

[tex]2y - 3x = 4[/tex]

[tex]y - \frac{3}{2} x = 2[/tex]

[tex]y = \frac{3}{2} x + 2[/tex]

Answer:

45 degrees

Step-by-step explanation:

The first angle of the triangle is 45 degrees. This can be determined by the given information that the second angle is 30 degrees larger than the first and the third angle is 3 times the second. Since the second angle is 30 degrees larger than the first, the first angle must be 15 degrees, and the third angle must be 3x15=45 degrees.

Answer:

63.25

Step-by-step explanation:

You need to calculate each figure separately.

The diameter of the circle = 4 + 3 + 3 = 10

=> radius = 5

area of 1/2 circle = 1/2πr^2 = 1/2π(5)^2 = 1/2(3.14)(25) = 39.25

area of the top rectangle = 3 x 6 = 18

area of the bottom rectangle = 2 x 3 = 6

total area = 39.25 + 18 + 6 = 63.25

Answer:Hi

Step-by-step explanation:

Answer: infinity technically the answer is infinity

nothing less nothing more

Step-by-step explanation:

One zero of the polynomial is given. Use it to express the polynomial as a product of linear factors over the complex numbers.

Given: f(x) = x^2 + 3x + 3 and zero: 3

Here's how to approach this problem:

The polynomial f(x) has a root of 3.

f(x) can be expressed as a product of two factors, where the first factor contains (x-3) as one of its roots, as follows:

f(x) = (x-3)(ax + b)

We can obtain the values of a and b by equating the coefficients of this equation to that of the given polynomial:

a + 3 = 1 (since coefficient of x in the given polynomial is 3)

-3a + b = 3 (since the constant term in the given polynomial is 3)

Solving these equations gives us a=-2 and b=9.

f(x) can thus be expressed as:

f(x) = (x-3)(-2x + 9)

Hence, the expression for the polynomial is f(x) = -(x-3)(2x-9).

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Therefore, the total area of Riley's backyard is. [tex]6x^2-19x+8[/tex].

Length is a measure of distance or extent, typically referring to the measurement of an object or distance in one dimension. It describes how long an object or distance is, usually in units such as meters, feet, or inches. Length is one of the fundamental physical quantities, and is used in various fields including mathematics, physics, engineering, and construction. It is often represented by the symbol "L" or lowercase "l".

To find the area of the backyard, we need to multiply the length and width of the rectangular shape.

Length of the backyard = 3x - 8

Width of the backyard = 2x - 1

Area of the backyard = Length x Width

[tex]\\= (3x - 8)(2x - 1)\\= 6x^2 - 19x + 8[/tex]

Therefore, the total area of Riley's backyard is [tex]6x^2-19x+8[/tex]

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If all three of them together have a total of 520 kroner then bill would have 205 kroner

amounts of money that Alan, Bill, and Cassie have:

Let A be the amount of money that Alan has.

Let B be the amount of money that Bill has.

Let C be the amount of money that Cassie has.

From the problem, we know that:

A + B = 250 (equation 1)

B + C = 475 (equation 2)

A + B + C = 520 (equation 3)

We want to solve for B, the amount of money that Bill has.

One way to do this is to use equation 1 to solve for A in terms of B:

A = 250 - B

We can then substitute this expression for A into equations 2 and 3:

(250 - B) + B + C = 520

Simplifying this equation, we get:

C = 270

Substituting this value of C into equation 2, we get:

B + 270 = 475

Solving for B, we get:

B = 205

Therefore, Bill has 205 kroner.

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The value of x is 10 and the trapezoid has two base angles with measure 40 degrees and two non-base angles with measure 140 degrees.

What is the congruent angle?

When two parallel lines are cut by a transversal, the angles that are on the same side of the transversal and in matching corners will be congruent.

In an isosceles trapezoid, the base angles (the angles opposite the parallel sides) are congruent. Let's call each of these angles "a". Then, we have:

a = 3x + 10 (from one of the congruent angles)

a = 5x - 10 (from the other congruent angle)

Setting these two expressions equal to each other, we get:

3x + 10 = 5x - 10

Solving for x, we get:

2x = 20

x = 10

Now that we know the value of x, we can substitute it back into either of the expressions for "a" to find the measure of each base angle:

a = 3x + 10 = 3(10) + 10 = 40

Therefore, each base angle of the trapezoid has measure 40 degrees.

The other two angles of the trapezoid are the non-base angles (the angles adjacent to the parallel sides).

These angles are supplementary to the base angles, so each non-base angle has measure:

180 - 40 = 140

Therefore, the value of x is 10 and the trapezoid has two base angles with measure 40 degrees and two non-base angles with measure 140 degrees.

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The equation modeling function g after the given transformations on the parent sine function is:

g of (x) = A x sine(C(x minus D))+k

where A is the vertical stretch factor, C is the reciprocal of the horizontal stretch factor, D is the horizontal shift, and k is the vertical shift.

Substituting the given values, we get:

g of (x) = 3*sine((1/1)(x+1))+(-4)

Simplifying further, we get:

g of (x) = 3*sine of (x+1)-4

Therefore, the equation modeling function g is g of (x) = 3*sine(x+1)-4 after the given transformations on the parent sine function.

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Answer: True

Step-by-step explanation:

It is generally recommended that adults drink at least 8 cups or 2 liters of water per day to maintain proper hydration.

The number line model begins at 2.5 and then adds 4.5 to it, resulting in the number 7 being plotted at the end of the line.

The number line model for the expression 2.5 + 4.5 is shown below. The equation for this expression is 2.5 + 4.5 = 7. This number line model illustrates this expression by starting at the number 2.5 and then adding 4.5 to it, which results in the number 7 being plotted at the end of the line. This is represented by the arrow extending from 2.5 to 7. Starting at 2.5, the arrow first passes through 3, then 4, then 5, then 6, before finally reaching 7. This is the result of adding 4.5 to 2.5, which is shown on the number line model.The expression 2.5 + 4.5 can also be written mathematically as 2.5 + 4.5 = 7. This equation is read as "2.5 plus 4.5 equals 7," and it is a statement that the sum of 2.5 and 4.5 is equal to 7. The number line model of this expression illustrates this mathematical equation by showing how 2.5 plus 4.5 equals 7. The number line model begins at 2.5 and then adds 4.5 to it, resulting in the number 7 being plotted at the end of the line.

|-----|-----|-----|-----|-----|-----|

0    1     2     3     4     5     6

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Which number line model represents the expression 2.5 + 4.5?

Answer:

d

Step-by-step explanation:

Answer:

Step-by-step explanation:

3=k jsdna no I don't want you in my car so you have a lot to say about the other things I have for the past year so we can see it

The solution, when x = 2, will be y = 1.44, according to the facts provided.

Value refers to how little something is valuable, either financially or in terms of significance. It can also imply "determine how very much something that is worth," as in a reward with a $200 value. As a verb, it indicates "keeping something in high regard" (such "I value our friendship").

We can evaluate this function y = (1.2)ˣ at x = 2 by merely adding x = 2 to the formula for y.

y = (1.2)ˣ

y = (1.2)ˣ (substitute x = 2)

y = 1.44

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The expression that represents the perimeter of the rectangle in centimeters is 45.2g - 30.6h.

Let's start by finding the length of the top and bottom sides, which are equal to the width. The width is given by (9.8g - 4.5h) centimeters, so the length of the top and bottom sides is:

2(width) = 2(9.8g - 4.5h) = 19.6g - 9h

Next, we need to find the length of the left and right sides, which are equal to the length. The length is given by (1.5g - 3.4h) centimeters, so the length of the left and right sides is:

2(length) = 2(1.5g - 3.4h) = 3g - 6.8h

Now that we have the lengths of all four sides, we can find the perimeter of the rectangle by adding them together:

Perimeter = length + width + length + width

Perimeter = (3g - 6.8h) + (19.6g - 9h) + (3g - 6.8h) + (19.6g - 9h)

Perimeter = 45.2g - 30.6h

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Applying the distance formula, the distance between points N and C in the coordinate plane is calculated as: 5 units.

To calculate the distance between two points on a coordinate plane, the distance formula can be applied which is given as:

d = [tex]\sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex].

Given the two points lie on the coordinate plane as the following coordinates:

N = (-8, 9)

C = (-4, 6)

Therefore, we will have:

d = √[(−4 − (−8))² + (6−9)²]

d = √[(4)² + (−3)²]

d = √(16 + 9)

d = √25

d = 5 units

Thus, the distance between points N and C is calculated as: 5 units.

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Answer:

62/3

Step-by-step explanation:

As it's a rectangle do the area is equal A = L*W

SO

[tex](7 \times \frac{3}{4} ) \times( 2\times \frac{2}{3} )[/tex]

Step-by-step explanation:

2 2/3 × 7 3/4

turn these into improper fractions =8/3 × 31/3

times the numerator and denominator together= 248/9

248/9 simplified=27.5555555 or 27 5/9 as a fraction

Answer:

x=-2+-8

Step-by-step explanation:

If you mean (x+2)^2=64

take the sqrt of both sides and get x+2 = +-8

then subtract 2 to get -2+-8 = x

Answer:

67.5

Step-by-step explanation:

4 1/2x6= 27 27x2 1/2=67.5

x=12°

so:(2x+1°)°+(5x+5)°+90°=180°

7x=180°-1°-5°-90°

7x=84°

x=84°÷7

x=12°

i don't know if it is x that you wanted but the it is

Answer:

Triangle XYZ is shifted 9 units to the right, then 4 units down.

6 hours and 57 minutes to fill the order if they work together.

This indicates that the mean of the sample (16.5 seconds) is statistically significantly lower than the mean of the population (18 seconds). Therefore, the researcher can conclude that the noise does cause the mice to complete the maze faster.

Using a two-tailed t-test with a significance level of 0.05, the researcher can conclude that the noise does cause the mice to complete the maze faster. The test statistic for this experiment is -2.097, which is less than the critical value of -1.68. This indicates that the mean of the sample (16.5 seconds) is statistically significantly lower than the mean of the population (18 seconds). Therefore, the researcher can conclude that the noise does cause the mice to complete the maze faster.

the complete question is :

​experiments on learning in animals sometimes measure how long it takes for mice to find their way through a maze. The mean time is 18 seconds for one particular maze. A researcher thinks that a loud noise will cause the mice to complete the maze faster. She measures how long each of 36 randomly selected lab mice takes with noise as stimulus. Her sample data yielded a mean of 16. 5 seconds and a standard deviation of 6. 4 seconds. what can you conclude from the sample data ?

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Answer:it’s 0

Step-by-step explanation:

The radius οf the dilated lοgο will be apprοximately 8.66 feet.

The scale factοr is a number that represents the ratiο οf the cοrrespοnding side lengths οf twο similar figures. It can be used tο enlarge οr reduce the size οf a figure by a certain percentage οr factοr.

The area οf the lοgο is given as 5 square feet, and the radius οf the lοgο is 1.25 feet.

Therefοre, we can find the scale factοr as fοllοws:

k = √(A/5) = √(240/5) = √48 ≈ 6.93

Sο the scale factοr is apprοximately 6.93. Tο find the radius οf the dilated lοgο, we multiply the οriginal radius by the scale factοr:

r' = kr = 6.93(1.25) = 8.66

Hence, the radius οf the dilated lοgο will be apprοximately 8.66 feet.

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Answer:

True answers:

f(x) is an increasing exponential function.

f(x) has a greater y-intercept

Step-by-step explanation:

Option 1:

Both functions have the same y-intercept is FALSE

The y-intercept of f(x) is found by plugging in 0 for x

[tex]f(0) = 5^0 - 3 = 1 - 3 = -2[/tex]

The intercepts are different, so option 1 is FALSE.

Option 2:

f(x) is an increasing exponential function is TRUE

the largest term is positive and exponential.

Option 3:

g(x) has a greater y-intercept. is FALSE

The y-intercept of g(x) is -3, and the y-intercept of f(x) is -2. -2 > -3

Option 4:

f(x) has a greater y-intercept is TRUE

The y-intercept of g(x) is -3, and the y-intercept of f(x) is -2. -2 > -3

P(X > 60) = P(Z > 1.7321) = 0.0418

When answering questions on Brainly, it is important to be factually accurate, professional, and friendly. Additionally, answers should be concise and relevant to the question being asked. When possible, provide a step-by-step explanation using the following terms: sample, observation, and probability. In this particular question, the following information is provided:Part a) A sample of n=25 observations is drawn from a normal population with μ=100 and σ=2. Find the following: i) P(X < 96) ii) P(96 < X < 105)Part b) The amount of time university professors devote to their jobs per week is normally distributed with a mean of 52 hours and a standard deviation of 6 hours. Find the probability that a professor works for more than 60 hours per week. Find the probability that the mean amount of work per week for three randomly selected professors is more than 60 hours.Part a) Calculate the value of the test statistic, set up the rejection region, undertake the hypothesis test, and interpret the result.

i) P(X < 96)First, we calculate the z-score as follows:z = (X - μ) / σ = (96 - 100) / 2 = -2P(X < 96) = P(Z < -2) = 0.0228ii) P(96 < X < 105)We first calculate the z-scores for both X values as follows:z1 = (X1 - μ) / σ = (96 - 100) / 2 = -2z2 = (X2 - μ) / σ = (105 - 100) / 2 = 2.5Next, we look up the area between these two z-scores using a standard normal distribution table. We have: P(96 < X < 105) = P(-2 < Z < 2.5) = 0.9944 - 0.0228 = 0.9716b) i) Probability that a professor works for more than 60 hours per weekWe first calculate the z-score as follows:z = (X - μ) / σ = (60 - 52) / 6 = 1.3333Using a standard normal distribution table, we find the area to the right of the z-score as follows:P(X > 60) = P(Z > 1.3333) = 0.0912ii) Probability that the mean amount of work per week for three randomly selected professors is more than 60 hoursLet X be the random variable representing the mean amount of work per week for three randomly selected professors. We know that X ~ N(μ, σ / sqrt(n)), where μ = 52, σ = 6, and n = 3. We calculate the z-score as follows:z = (X - μ) / (σ / sqrt(n)) = (60 - 52) / (6 / sqrt(3)) = 1.7321Using a standard normal distribution table, we find the area to the right of the z-score as follows:P(X > 60) = P(Z > 1.7321) = 0.0418Part a) Calculate the value of the test statistic, set up the rejection region, undertake the hypothesis test, and interpret the result.No information is provided about the hypothesis test in Part a of the question, so it is not possible to provide an answer to this part. Please provide more information or clarify the question if possible.

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A triangle with sides lengths 9, 15, and 3√35 would be classified as a scalene triangle.

In Geometry, there are five (5) major types of triangle based on the length of their sides (side lengths) and angles, and these include the following;

In Mathematics and Geometry, a scalene triangle can be defined as a type of triangle that has all of its three (3) sides and interior angles different in length and size respectively.

Since the given side lengths 9, 15, and 3√35 units are all different, we can logically deduce that they would form a scalene triangle.

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Therefore, based on the data provided, Oldtown is more popular than Newburg.

To determine which city is more popular, we need to compare their populations for each year.

In 2015, Oldtown had a population of 1518, which is significantly larger than Newburg's population of 100. Therefore, Oldtown was more popular in 2015.

In 2016, Oldtown's population increased to 1643, while Newburg's population increased to 110. Again, Oldtown had a larger population and was more popular.

In 2017, Oldtown's population increased to 1768, while Newburg's population increased to 121. Once again, Oldtown had a larger population and was more popular.

In 2018, Oldtown's population increased to 1893, while Newburg's population increased to 133. Yet again, Oldtown had a larger population and was more popular.

Therefore, based on the data provided, Oldtown is more popular than Newburg.

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The mayors of old town and newborn were having a disagreement about which city was more popular. They made the table below to show the population of their cities for the past several years.

2015 Newburg Population 100. Oldtown Population 1518

2016 Newburg Population 110. Oldtown Population 1643

2017 Newburg Population 121. Oldtown Population 1768

2018 Newburg Population 133. Oldtown Population 1893

Which city is more popular?

The expression for the nth term of the sequence is,  Tn = 3n^2 - 7n - 1

To find an expression for the nth term of a quadratic sequence, we need to find a quadratic function that describes the sequence.

Let the nth term of the sequence be denoted by Tn. We can use the method of finite differences to determine the degree of the quadratic function that describes the sequence.

The first differences between the terms are 6, 10, 14, 18, 22. The second differences between these first differences are all equal to 4. This tells us that the sequence is quadratic, since the second differences are constant.

To find the quadratic function that describes the sequence, we can use the formula for the nth term of a quadratic sequence,

Tn = an^2 + bn + c

where a, b, and c are constants to be determined.

We can use the first three terms of the sequence to form a system of three equations,

T1 = a + b + c = -5

T2 = 4a + 2b + c = 1

T3 = 9a + 3b + c = 11

Solving this system of equations, we get:

a = 3

b = -7

c = -1

Therefore, the expression for the nth term of the sequence is

Tn = 3n^2 - 7n - 1

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