5.
The population of arctic foxes in Yukon can be modelled by the following equation:
P = 400 cos(30t - 180) + 1100
Where 't' represents the number of years since 1992.
a.
What was the population of arctic foxes in Yukon in 1992?

b. What are the maximum and minimum number of arctic foxes?

C. Sketch a graph that represents how the population of artic foxes changes over time (since 1992).

D. What will be the population of arctic foxes in 2030?

E. When was the first time the population of arctic foxes reached 1300 (since 1992)?

Step-by-step explanation:

1. let the percentage be x

therefore, x% of 126=22

(x/100) * 126=22

x=(22*100)/126

=17.46%

2. let percentage be x

25.7=x% of 141

25.7=(x/100)*141

x=(25.7*100)/141

x=18.23%

3. 46=x% of 107

46=(x/100)*107

x=(46*100)/107

x=43%

4. 62% of x=89.3

(62/100)*x=89.3

x=(89.3*100)/62

x=144

5. 30% of 117=x

( 30/100)*117=35.1

6. 120% of 118=?

(120/100)*118=141.6

7. 270 of 60

270*60= 16200

8. 87% of 41

(87/100)*41

=35.67

9. x% of 88.6=70

(x/100)*88.6=70

x=(70*100)/88.6

x=79%

Answer:

The answer is 0

Step-by-step explanation:

The area of the shaded portion is 7.7 units²

What is the area of a square?

A square is a 2D figure in which all the sides are of equal measure. Since all the sides are equal, the area would be length times width, which is equal to side × side. Hence, the area of a square is a side square.

In the figure, the side  length of the square = 6 units

And the also sector of the circle lies inside the square.

To find the area of the shaded portion.

So, the area of the shaded portion= ( area of the square - area of the sector)

The area of the square = ( side)²

                                     = (6)²

                                      = 36 units

And the area of the sector = ( θ°/360°) ×πr²

                                           = ( 90°/360°) ×(22/7)×(6)²

                                           = (1/4)×(22/7)×(36)

                                           = 28.3 units²

So, the area of the shaded portion = ( 36 - 28.3 ) units²

                                                        = 7.7 units²

Hence,  the area of the shaded portion is 7.7 units²

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Answer:

C) 6

Step-by-step explanation:

I converted the equation into slope-intercept form and then identified the y-intercept.

\(4x+2y=12\\\\4x-4x+2y=12-4x\\\\2y=12-4x\\\\\frac{2y=12-4x}{2}\\\\ y=6-2x\\\\y=-2x+6\\\\y=-2x+\boxed{6}\)

C should be the correct answer.

Hope this helps.

Answer: 6

Step-by-step explanation: The y-intercept is a point where a line

crosses the y-axis and all y-intercepts have an x-coordinate of zero.

So to find the y-intercept of this line, we can plug a 0 in for x.

So we have 4(0) + 2y = 12.

So 2y = 12 which means that y = 6.

So the y-intercept of this line is 6.

a) The explanatory variable in the study is the format of the stories presented to the four-year-olds: audio, illustrated, and animated. This variable is categorical because it involves distinct categories or formats.

b) The response variable in the study is the brain connectivity measured by the magnetic resonance imaging (MRI) machine. This variable is quantitative as it represents a numerical measurement of brain connectivity.

c) The study includes 27 four-year-olds as the observational units or individuals.

The study aimed to investigate the impact of different story formats on brain connectivity in four-year-olds. The explanatory variable, format, was categorized into three groups: audio, illustrated, and animated.

The response variable, brain connectivity, was measured using an MRI machine. The researchers found a "Goldilocks effect" in the brain connectivity, indicating that the audio format was associated with low brain connectivity, possibly due to the children straining to understand.

On the other hand, the animated format also resulted in low brain connectivity, suggesting that the animation did all the work for the children.

The highest brain connectivity, considered optimal, was observed with the illustrated format, which simulated the experience of reading a book to a child.

The study included 27 four-year-olds as the observational units, providing insights into the relationship between story format and brain connectivity in young children.

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Answer: 4.5 x 1012 = 4554x

Step-by-step explanation:

5.12 x 109 = 558.08

Answer:

–4(x + 3) = 4(–x – 1) and 6x + 1 = 3(2x – 4)

Step-by-step explanation:

Answer:

1 ans 5

Step-by-step explanation:

no solution              –––

6x + 1 = 3(2x - 4)

6x + 1 = 6x - 4

6x - 6x + 1 = 6x - 6x - 4

1 ≠ -4

one solution

2 - 5x = 7x - 12

2 -5x + 5x = 7x + 5x - 12

2 = 12x - 12

2 + 12 = 12x - 12 + 12

14 = 12x

x = 14/12

infinite solutions

4(3 - x) = 2(6 - 2x)

12 - 4x = 12 - 4x

12 - 12 - 4x + 4x = 12 - 12 - 4x + 4x

0 + 0 = 0 + 0

0 = 0

one solution

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

5x + 10 = 2x - 8

5x - 5x + 10 + 8 = 2x - 5x - 8 + 8

18 = -3x

x = -6

no solution                            –––

-4(x + 3) = 4(-x - 1)

-4x + 4x - 12 = -4x + 4x - 4

-12 ≠ -4

Answer:

8200mm

Step-by-step explanation:

Answer:

8200

Step-by-step explanation:

All you have to do is take 8.2 meters and multiply it by 100 and get 8200.

Answer:

61.2 feet below sea level

Step-by-step explanation:

distance = rate * time

to calculate the number of feet she traveled down you can multiply

36 and 2.9 to get 104.4

to calculate the number of feet she traveled up you can multiply

24 and 1.8 to get 43.2

subtracting the two distances you get 61.2

Answer:

It is 81/100

Step-by-step explanation:

This fraction cannot be simplified anymore.

Given

To find:

The average speed of Julian.

Explanation:

It is given that,

That implies,

Therefore,

Hence, the average speed of Jean is 11 km/h.

Answer:

At least to greatest you've got  -3, 0,  1   so f(x),  g(x),  h(x). Answer a

Step-by-step explanation:

ik this is because i am in level 11 grade math

Answer:

h(x), g(x), f(x)

Step-by-step explanation:

I got that value because the axis of symmetry of GX and hx I've got them all the same, one and one the issue comes to the GX where ist has a negative value in front of the X I think when you put a negative value inside a bracket then you Square it you'll get a positive value in the end but since it has a negative value outside then it will be a negative value that is why I considered GX to be smaller than HX but even if I consider GX smaller it's not going to be smaller than FX that is why I got GX and then FX.

Hence, HX then GX then FX

for a uniform probability density function, the height of the function is determined by the constant value that the function takes over the interval of definition, and it is determined by the requirement that the integral of the function over the interval of definition must be equal to

1. The height of a uniform probability density function over an interval [a,b] is given by:

f(x) = 1/(b-a) for a <= x <= b

where b-a is the length of the interval.

A uniform distribution is a continuous probability distribution and connected to the events which are likely to occur equally. A uniform distribution is explained by two parameters, a and b, where a is the minimum value and b is the maximum value.

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Answer:

.54b

Step-by-step explanation:

Answer:

b(0.54)

Hope this works for you! :)

Answer: 0.47 is equal to 47/100

Step-by-step explanation:

1.00=100 Is like pennies, if you have a hundred of them you have 1 dollar but since there’s only 47 it’s out of a hundred

Answer:

0.47 as a fraction equals 47/100

Step-by-step explanation:

Write 0.47 as  

Multiply both the numerator and denominator by 10 for each digit after the decimal point.

\(\frac{0.47}{1}\) = \(\frac{0.47 x 100 } {1x100}\) = \(\frac{47}{100}\)

So, 0.47 as a fraction  in simpliest form equals 47/100

The value of x is 13.

Given,

Q is the midpoint of P and R.

PR = 9x - 31 and QR = 43

We need to find the value of x.

We have,

<------9x - 31-------------->

P_______Q_______R

                  <-----43------>

Since Q is the midpoint of P and R.

PQ = QR = PR/2

Now,

QR = PR/2

43 = (9x - 31) / 2

Multiplying 2 on both sides

43 x 2 = 9x - 31

86 = 9x - 31

Adding 31 on both sides

86 + 31 = 9x - 31 + 31

117 = 9x

Dividing by 9 into both sides

117/9 = 9x/9

13 = x

x = 13

Thus the value of x is 13.

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Answer:

81.2%

Step-by-step explanation:

Multiply 0.812/100= 81.2%

Answer:

A = 5

B = 9

C = 3

D = 4

Step-by-step explanation:

A = 3+ 2 = 5

B = 5 + 4 = 9

C = 1 + 3 = 3

D = 3 + 1 = 4

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The dog's running speed of 5 km/hr can be converted to approximately 3.125 mi/hr by multiplying it by the conversion factor of 1 mi/1.6 km. Rounding to the nearest thousandth, the dog can run at about 3.125 mi/hr.

To convert the dog's running speed from kilometers per hour (km/hr) to miles per hour (mi/hr), we need to use the conversion factor of 1.6 km = 1 mi.First, we can convert the dog's speed from km/hr to mi/hr by multiplying it by the conversion factor: 5 km/hr * (1 mi/1.6 km) = 3.125 mi/hr.

However, we need to round the answer to the nearest thousandth (three decimal places). Since the digit after the thousandth place is 5, we round up the thousandth place to obtain the final answer.

Therefore, the dog can run at approximately 3.125 mi/hr.

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Using it's concept for the difference between points, the absolute value inequality |x - y| < 10 represents when Erik wins the game, and the inequality |x - y| ≥ 10 represents when Nina wins the game.

Erik and Nita are playing a game with numbers. In the game, they each think of a random number from zero to 20. If the difference between their two numbers is less than 10, then Erik wins. If the difference between their two numbers to greater than 10, then Nita wins. Use what you know about inequalities and absolute values to better understand the game.

The absolute function is defined by:

It measures the distance of a point x to the origin, hence, for example, |-2| = |2| = 0.

For this problem, we have that:

The difference between these two numbers is:

|x - y|.

Erik wins if the difference is less than 10, hence:

|x - y| < 10.

Hence:

Using it's concept for the difference between points, the absolute value inequality |x - y| < 10 represents when Erik wins the game, and the inequality |x - y| ≥ 10 represents when Nina wins the game.

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Answer:

x=4 y=-4

Step-by-step explanation:

Step: Solve5x+2y=12for x:

5x+2y=12

5x+2y+−2y=12+−2y(Add -2y to both sides)

5x/5=−2y+12/5

x= −2/5y+12/5

−2/5y+12/5 for x in5x−2y=28

5(−2/5y+12/5)−2y=28

−4y+12=28(Simplify both sides of the equation)

−4y+12+−12=28+−12(Add -12 to both sides)

−4y=16

−4y/−4=16/−4

(Divide both sides by -4)

y=−4

Substitute −4 for y in x=−2/5y+12/5

x= −2/5y+12/5

x=−2/5(−4)+12/5

x=4

Step 1: Start by drawing a circle.

Step 2: On the circle, choose any point. Label its endpoints A and C.

Step 3: Set the width of the compass larger than the radius of the circle. Draw arcs centered at A and C on each side of the diameter.

Step 4: Connect the arcs and the center of the circle. Label the points of intersection with the circle as B and D.

Step 5: Draw chords AB, BC, CD, and DA.

A circle is a fundamental geometric shape in mathematics. It is a two-dimensional figure that consists of all points in a plane that are equidistant from a fixed point called the center. The distance from the center to any point on the circle is known as the radius.

A circle is defined by its center and radius. The center is usually represented by the coordinates (h, k), where 'h' represents the horizontal position and 'k' represents the vertical position. The radius is the distance between the center and any point on the circle.

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The gardener has 3 vegetable beds.

Let there be x number of vegetable beds. Then if 3/10 of a bag of mulch is spread evenly over each of her equal-sized vegetable beds, the total amount of mulch used is 3x/10. According to the question, the total amount of mulch used is 9/10 of a bag. Hence,

3x/10=9/10

⇒x=3

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Answer:

-1220703125 is the 14th term of the geometric sequence.

Step-by-step explanation:

The following geometric sequence has the common ratio of -5 as -5/1 = -5 and 25/-5 = -5.

Then apply in the geometric sequence formula which is:

\(\displaystyle{a_n = a_1r^{n-1}}\)

where \(a_n\) represents the nth term, \(a_1\) is the 1st term and \(r\) is the common ratio. Substitute in the known values:

\(\displaystyle{a_n = 1\left(-5\right)^{n-1}}\\\\\displaystyle{a_n = \left(-5\right)^{n-1}}\)

Since we want to find the 14th term of the sequence, substitute n = 14:

\(\displaystyle{a_{14}=\left(-5\right)^{14-1}}\\\\\displaystyle{a_{14}=\left(-5\right)^{13}}\\\\\displaystyle{a_{14}=-1220703125}\)

Answer:

3/45

Step-by-step explanation:

the result of multiplying 45 with three is called the product does the product of 45 and 3 is as follows.

Answer:

3/45

Step-by-step explanation:

the result of multiplying 45 with three is called the product does the product of 45 and 3 is as follows

The statement that is not true for SVMs is option  (C) For linearly separable data of two classes, SVM can find multiple hyperplanes that can correctly classify all samples with different margins

For linearly separable data of two classes, SVM can find only one hyperplane that can correctly classify all samples with maximum margin. This is one of the main characteristics of SVMs. SVMs always try to find a hyperplane that separates the data with the maximum margin, and this hyperplane is unique.

Option A is true because the SVM classifier is constructed based on the support vectors, which are the data points closest to the decision boundary.

Option B is true because SVMs use a technique called kernel trick to map the data into a higher-dimensional space where the data is more likely to be linearly separable.

Therefore, the option that is not true is (C) For linearly separable data of two classes, SVM can find multiple hyperplanes that can correctly classify all samples with different margins

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