37,840 is the fox population predicted to be in the year 2019.
What is a growth rate?
The country, territory, or geographic area's yearly average rate of change in population size over a certain time period. It expresses the proportion, usually multiplied by 100, between the annual growth in population size and the total population for that year.
Here, we have
A growth rate of 9% per year means that at the end of each year, the population is 1.09 times what it was at the start of the year.
We keep this up for t years, starting with an initial population of 20,700, and get
P(n) = 20,700 (1.09)ⁿ
n = years since 2012, when the population was 20,700
For the year 2019,
n = 2019 - 2012 = 7
P(7) = 20,700 (1.09)⁷ ≅ 37,840
Hence, 37,840 is the fox population predicted to be in the year 2019.
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3^4x=9^3x+7 solve equation
[tex]3^4x=9^3x+7[/tex]
Simplify:
[tex]81x=729x+7[/tex]
Subtract 729x from both sides:
[tex]81x-729x=729x+7-729x[/tex]
[tex]-648x=7[/tex]
Divide both sides by -648:
[tex]\dfrac{-648x}{-648} =\dfrac{7}{-648}[/tex]
[tex]\fbox{x = $\dfrac{-7}{-648}$}[/tex]
The terminal ray of an angle measuring negative startfraction 10 over 9 endfraction pi lies in the____quadrant. this angle measures____°.
The terminal ray of an angle measuring negative startfraction 10 over 9 endfraction pi lies in the Second quadrant. this angle measures 200°.
Quadrants:The standard Cartesian coordinate plane is divided into four quadrants as shown in the figure above.
Angle measure: This is the unit of measure used to determine the distance between two lines joined at a common vertex. Subtract 360 to find the quadrant in degree units.
If the value is still greater than 360, continue subtracting 360 until the value is greater than 0 and less than 360. If the angle measurement is negative, add 360.Next, divide the angle (in degrees) by 90.The result of this division can contain integers and decimals. Take only integers not decimal value.If this value is 0, the angle is in the first quadrant. If this value is 1, the angle is in the second quadrant. If this value is 2, the angle is in the 3rd quadrant. If this value is 3, the angle is in the 4th quadrant.We have given that,
the angle = - 10π/9°
As we know that , π = 180°
so, - 10π/9° = (-10×180/9)° = - 200°
Now, we check the quadrant for angle - 200°
For this follow the above steps,
- 200° + 360° = 160°160°/90° = ( 16/9) = 1.77 ~2So, the required quadrant is second .
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The novel is 216 pages long. If Sergio continues to read at the same rate, how long will it take him to finish reading the entire novel
please help asap thank u so muchhh
The answer is 7h and 12m
Step-by-step explanation:
To solve for time, divide the distance traveled by the rate. For example, if Sergio continues reading the total of 216 pages, then he had finish reading for 7 hours and 12 minutes!
the second and sixth terms of a geometric progression are 3/10 and 243/160, respectively. what is the first term of this sequence?
The first term of the geometric progression= 1/5
What is common ratio?
In a geometric sequence, ratio of each term to its immediately preceding term is always constant and is known as common ratio.
Given:
The second term = 3/10
The sixth term = 243/ 160
The formula for the nth term of geometric sequence is given by
an = a1 r^(n-1 ) , a1 = first term , r= common ratio
Substitute n=2
a2 = a1 r^(2-1 ) ..................(1)
3/10 = a1* r
Substitute n=6
243 / 160 = a1 r^5 ..............(2)
dividing equation 2 by 1 , we get
r^4 = 5.0625
=> r = 1.5
Substitute this value of r into equation 1
3/10 = a1 * (1.5)
a1 = 0.2
So, the first term = 1/5
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HELP
A=1
b=2
c=3
d=4
e=5
f=6
g=7
h=8
i=9
j=10
k=11
Answer:
x = -15
Step-by-step explanation:
[tex]\frac{x - 9}{3}[/tex] = -8 Multiply all the say through by 3
x - 9 = -24 Add 9 to each sides
x = -15
pls help
10. Simplify 4 ×5 – 32 × 2 ÷ 6
11. Simplify −2(−9 + 3)
15. Solve -a/13 =18
18. Solve 7 = 5x 3(x – 2) 5
19. Solve 11w 2(3w - 1) = 15 w
21. If U = {natural numbers less than
20} and N = {factors of 18}, what is
N'
22. Solve and graph 17 – 2a ≤ 29
23. Solve and graph 12c + 6 > 9c – 15
1. The expression can be simplified as follows: 4 × 5 – 32 × 2 ÷ 6 = 20 – 16 ÷ 6 = 20 – 2 = 18.
2. The expression can be simplified as follows: -2(-9 + 3) = -2(-6) = 12.
3. To solve this equation, we need to isolate the variable a. We can do this by dividing both sides of the equation by -13: -a/13 = 18. Dividing both sides of the equation by -13 gives us a = -18 * 13 = -234.
4. To solve this equation, we need to isolate the variable x. We can do this by moving all terms involving x to one side of the equation and all constants to the other side. This gives us: 7 = 5x + 3(x – 2). We can then distribute the 3 to get 7 = 5x + 3x – 6. Combining like terms, we get 7 = 8x – 6, which we can solve by adding 6 to both sides to get 13 = 8x. Dividing both sides of the equation by 8 gives us x = 13/8.
5. To solve this equation, we need to isolate the variable w. We can do this by moving all terms involving w to one side of the equation and all constants to the other side. This gives us: 11w + 2(3w - 1) = 15 w. We can then distribute the 2 to get 11w + 6w - 2 = 15w. Combining like terms, we get 17w - 2 = 15w, which we can solve by adding 2 to both sides to get 17w = 15w + 2. Subtracting 15w from both sides gives us 2w = 2, which we can solve by dividing both sides by 2 to get w = 1.
6. N' is the complement of the set N. This means that N' contains all elements that are not in the set N. Since the set N contains all factors of 18, N' will contain all natural numbers less than 20 that are not factors of 18. Some elements of N' are 1, 2, 4, 5, 7, 8, 11, 13, 14, 16, and 17.
7. The solution to the inequality 17 - 2a ≤ 29 is all values of a that satisfy the inequality. To find these values, we can first subtract 17 from both sides of the inequality to get -2a ≤ 12. Dividing both sides of the inequality by -2 gives us a ≥ -6. This means that the solution is the set of all values of a that are greater than or equal to -6. This solution can be represented on a number line
8.To solve the inequality 17 – 2a ≤ 29, we first need to isolate the variable on one side of the inequality. To do this, we need to subtract 17 from both sides, which gives us -2a ≤ 12. Dividing both sides by -2, we get a ≥ -6. To graph this inequality, we can use a number line. We would draw a solid line at -6 and shade the region to the right of the line, since a is greater than or equal to -6.
9. To solve the inequality 12c + 6 > 9c – 15, we first need to isolate the variable on one side of the inequality. To do this, we need to subtract 9c from both sides, which gives us 3c + 6 > -15. Next, we need to add 15 to both sides, which gives us 3c + 21 > 0. Finally, we can divide both sides by 3 to get c > -7. To graph this inequality, we can use a number line. We would draw a solid line at -7 and shade the region to the right of the line, since c is greater than -7.
16/6 = 3d/9 solving proportions
I need help with 75 divided by 3
Answer:
25
Step-by-step explanation:
Answer:25
Step-by-step explanation:
the dashed-lined figure is a dilation image of the solid-lined figure. is the dilation an enlargement, or a reduction? what is the scale factor of the dilation?
3 enlargement is the scale factor of the dilation.
What is dilation?
resizing an object is accomplished through a change called dilation. The objects can be enlarged or shrunk via dilation. A shape identical to the source image is created by this transformation. The size of the form does, however, differ. A dilatation ought to either extend or contract the original form. The scale factor is a phrase used to describe this transition.
The scale factor is defined as the difference in size between the new and old images. An established location in the plane is the center of dilatation. The dilation transformation is determined by the scale factor and the center of dilation.
The options for this question are missing. Here are the missing options:
enlargement; 6
enlargement; 3
reduction; 3
reduction; 1/3
Hence, 3 enlargement is the scale factor of the dilation.
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What is the scale factor of the dilation triangle ABC was dilated?
The scale factor of the dilation of the triangle ABC is equal to 2.5.
We know that the triangles ABC and A'B'C' are similar.
The scale factor of the dilution is given by -
scale factor = measure of A'B' / measure of AB.
Now, let's find the measure of AB and the measure of A'B' from the graph given below, using the distance formula as follows-
The distance formula is = [tex]\sqrt{(y_{2} - y_{1})^{2} + (x_{2} - x_{1})^{2}}[/tex]
Hence, the distance AB =[tex]\sqrt{(2-2)^{2} + (2-0)^{2}}[/tex]
= [tex]\sqrt{(0)^{2} + (2)^{2}}[/tex]
= [tex]\sqrt{2^{2}}[/tex]
= 2 units
Similarly, we can find the distance A'B'
The distance A'B' = [tex]\sqrt{(-1+1)^{2} + (1+4)^{2}}[/tex]
= [tex]\sqrt{(0)^{2} + (5)^{2}}[/tex]
= [tex]\sqrt{(5)^{2}}[/tex]
= 5 units
Now, the scale factor = measure of A'B' / measure of AB
= 5/2
=2.5
Thus, the scale factor of the dilation is 2.5.
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The complete question is -
Triangle ABC was dilated and translated to form a similar triangle A'B'C'.
What is the scale factor of the dilation?
6.2.9 Check Your Understanding
The University of Florida has a surf club. Assuming it has 11 females and 12 males and h represents the
height of a team member, the inequality, 300 < 5.25h-15 ≤ 368.25, represents the range of heights of
the surfers, in inches.
Select all possible heights for the University of Florida's Surf Club.
The possible heights of the students in the surf club will be -
73 inches ≥ h > 60 inches
What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionEquation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.
Given is the University of Florida that has a surf club. It has 11 females and 12 males and [h] represents the height of a team member.
The given inequality is -
300 < 5.25h - 15 ≤ 368.25
So, we can write -
5.25h - 15 > 300
5.25h > 315
h > (315/5.25)
h > 60 inches
and
5.25h - 15 ≤ 368.25
5.25h ≤ 368.25 + 15
5.25h ≤ 383.25
h ≤ 73 inches
So, we can write the range as -
73 inches ≥ h > 60 inches.
Therefore, the height range of the students in the surf club will be between 73 inches ≥ h > 60 inches.
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4. What is the ratio of the sides for triangle HIL?
The ratio of the sides for triangle HIL is 1:1:√3.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
We need to find the ratio of HIL triangle.
In the triangle JKL, IL is perpendicular to the JH.
At I the angle is 90 degrees.
The length of JI is 11cm.
The angle of JKL is x degrees.
JK is 22 cm and the angle of ILJ is y degrees.
the ratio of the sides for triangle HIL is 1:1:√3.
Hence, 1:1:√3 is the ratio of the sides for triangle HIL
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Fill out the function table below f(x) = 3(2 – x) –2
The value of (x,y) on the given points of the function will be (-2,10),(-1,7),(0,4),(1,1), and (2,-2).
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
In other words, the function is a relationship between variables, and the nature of the relationship defines the function for example y = sinx and y = x +6 like that.
As per the given function,
f(x) = 3(2 – x) –2
Put x = -2
f(-2) = 3(2 + 2) - 2 = 10 thus, (-2,10)
Put x = -1
f(-1) = 3(2 + 1) - 2 = 7 thus, (-1,7)
Put x = 0
f(0) = 3(2 - 0) - 2 = 4 thus, (0,4)
Put x = 1
f(1) = 3(2 - 1) - 2 = 1 thus, (1,1)
Put x = 2
f(2) = 3(2 - 2) - 2 = -2 thus, (2,-2)
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while virtually all time series exhibit a random component, not all time series exhibit other components. t or f
While virtually all time series exhibit a random component, not all time series exhibit other components is a true statement.
It's accurate to say that while almost all time series show a random component, not all time series show additional components.
WHAT IS A TIME SERIES?A time series is a collection of observations of discrete data points gathered over a period of time by repeated measurements. For instance, calculating the quantity of retail sales for each month of the year would be a time series. This is because sales income is consistently and precisely measured at regular times. Data collected once or irregularly are not time series data.
A time series observation can be divided into three categories: trend (long-term direction), seasonal (systematic, calendar-related motions), and irregular (unsystematic, short term fluctuations).
A time series is a group of data points that have been arranged chronologically in mathematics. Typically, a time series is a sequence that was captured at many equally spaced intervals in time. As a result, it is a collection of discrete-time data.
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The angles of a quadrilateral are 4x,7x,15x and 10x. find the smallest and largest angle of the quadrilateral
A quadrilateral has angles of 4x, 7x, 15x, and 10x.The smallest angle of the quadrilateral is 4x and the largest angle is 15x.
A quadrilateral is a polygon with four vertices, four sides, and four angles, all of which add up to 360 degrees. The quadrilateral is formed into two triangles when the diagonals are drawn. The angle total for these two triangles is 180°. As a result, the quadrilateral has a 360° total angle. TA quadrilateral has angles that total 360 degrees. This information can be used to find the value of x.
360
= 4x + 7x + 15x + 10x
x = 360 / 36
x = 10
Therefore, the smallest angle is 40 degrees and the largest angle is 150 degrees.
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Given: boat is an isosceles trapezoid. If bo = 12 and ta = 6, find the length of the median. 7 9 2008.
For a BOAT isosceles trapezoid. The length of the median is 9 ..
An isosceles trapezoid must have two non-parallel sides of equal length. Therefore, use the information provided to apply the following formula: circumference = base 1 base 2 (legs), where the length of the "leg" is one of the two equivalent non-parallel sides . The base angles of an isosceles trapezoid are equal. The center line or median of the trapezoid is parallel to the base and its length is half the total length of the base. We have given that,
length of side BO = 12
length of side TA = 6
The length of Median = 1/2(12+6)
= 1/2(18) = 9
Hence, the required length is 9 .
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List 3 values that would make this inequality true. n > 4 ___,___,___
Values that will satisfy the given inequality be 5,6 and 7.
What do you mean by natural number?
All positive numbers from 1 to infinity are considered natural numbers and are therefore a component of the number system. Because they don't contain zero or negative numbers, natural numbers are also known as counting numbers. They are a subset of real numbers, which only include positive integers and exclude negative, zero, fractional, and decimal numbers.
Given inequality:
n > 4
Values that will satisfy the given inequality be 5,6 and 7.
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3
Point A(7, 3) is translated to A'(16.-9), Which rule describes the translation?
Oo (x,y)-(x-9.y-12)
O(x,y)-(x-9y+12)
O (x,y) →(x+9y+12)
O (x,y) →(x+9y-12)
The Rule of translation of the point is (x, y) → (x+8, y - 12)
What is the coordinate rule for translation?The translation is a transformation of a figure on the coordinate plane without changing its shape, or size.
The Coordinate rule for translation is (x, y) → (x ± h, y ± k)
where h and k are the units of horizontal and vertical shifting. Here if the movement is left then h will be negative. If movement is downwards then k will be negative.
Here we have
Point A(7, 3) is translated to A'(16, -9)
If we plot the given points in a graph the will as given below the graph
There we can observe that,
The x coordinate is moved left 8 units further and y is moved 12 units downward
Therefore,
The Rule of translation of the point is (x, y) → (x+8, y - 12)
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A father is giving 1/6 of his money to son A, and 1/7 of his money to son B. Son C gets 29400. How much does son A get?
Answer:
$7,096.55
Step-by-step explanation:
[tex]\frac{1}{6}[/tex] = [tex]\frac{7}{42}[/tex]
[tex]\frac{1}{7}[/tex] = [tex]\frac{6}{42}[/tex]
[tex]\frac{6}{42}[/tex] + [tex]\frac{7}{42}[/tex] = [tex]\frac{13}{42}[/tex] This Son A and Son B's portion
Son C must be [tex]\frac{42}{42}[/tex] - [tex]\frac{13}{42}[/tex] = [tex]\frac{29}{42}[/tex]
[tex]\frac{29}{42}[/tex] of some number is 29400
[tex]\frac{29}{42}[/tex] x = 29400 Multiple by sides by [tex]\frac{42}{29}[/tex]
x = [tex]\frac{42}{29}[/tex] x 29400
x = 42579.31 Rounded to the nearest penny
This number is the total
42579.31 x 1/6 = 7096.55 Rounded to the nearest penny
Find the domain of each expression.
Answer: -3
Step-by-step explanation:
what are the three main components of the data model structure in sap s/4hana? configuration data 2) master data 3) quantitative data 4) transaction data 1, 2, 4 1, 3, 4 2, 3, 4 1, 2, 3
By using the concept of data structure, it can be concluded that-
First option is correct
What is data structure?
Data structure is a group of elements that provides an efficient way of storing and organizing data so that the data can be accessed and used efficiently. Data structure is a very important tool for computer science and computer engineer and especially in IT industry. Nowadays, lots of research work is being done on data structure.
The three main components of data model structure in SAP S/4HANA are,
configuration data, master data and transaction data
First option is correct
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defined by miles as ""a requirement of the activities of one subunit that is affected by the activities of other subunits"" is a _________.
A contingency is defined by miles as " a requirement of the activities belongs to one subunit which is affected by the activities of other subunits.
Step to Step Explanation:
Contingency is a noun which represent the chances of fulfillment of an activity.Contingency represents the activity may or may not happen .It is dependable activity.Requirement of one activity belongs to one subunit may affect the subunits of other activities.Example: you want to buy a home but due to certain conditions in future you are unable to purchase.Therefore, the contingency is defined by miles as " a requirement of the activities of one given subunit which is affected by the activities of other subunits.
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The tangent of O in this triangle is Which equation must be true? (MGSE9-
12.G.SRT.8)
a®
19°
A. sin a = 2
B. tan a = 2
C. sina = 1/2
D. . tan a = 1/2
The correct answer is option D, which states tan∝ = 1/2
What is Trigonometry?
The field of mathematics concerned with the relationships between triangle sides and angles, as well as the pertinent functions of any angles is Trigonometry.
Solution:
we are given that tanθ = 1/2
this implies θ = 45°
We know that the sum of all interior angle of triangle is 180°
so, it can be calculated that the value of
angle ∝ = 45°
Therefore, tan∝ = 1/2
The correct answer is option D, which states tan∝ = 1/2
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You own a small grocery store and want to start carrying Duracell AA batteries. You can purchase a 4-pack battery set for $3.99 from the wholesaler. You typically make products up 30%. What price should you charge for the batteries?
The Question is based on concept of Cost Price and selling Price is 5.2$
What is Cost PRice and Selling PRice?
Cost price is the actual price of an object where as selling price is the price in which seller sells it to customer
Solution
Cost Price of batteries = 4$
and shopkeeper can charge upto 30% interest
hence selling price will be 4$ + 30% of 4$
= 4 + 30/100(4)
= 4 + 1.2
5.2$
Hence answer to this Question is 5.2$
and this 5.2$ is the selling price of duracell batteries whereas 4$ was the cost price for the same
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the following measurements from yaw marks left at scene of an accident were taken by law enforcement officers. using a 31 ft-long chord, the middle ordinate measured approximately 3ft. the drag factor of the road surface was determined to be 1.13. determine the radius of the yaw mark to the nearest tenth of a foot. determine the minimum speed that the car was going when the skid occurred to the nearest tenth.
The yaw mark's radius is 11.2 feet, or one foot to the nearest tenth.
11.1634 miles per hour is considered the minimum speed.
what is yaw marks?Yaw marks are always curved. They are, initiated by a steering input. They're the remains of a tire that's still moving while also slapping sideways.
Using a chord and middle ordinate, you can calculate the radius using the following formula:
We must apply the algorithm to get the yaw mark's radius.
where the middle ordinate is m and the chord's length is c
With a 31 foot chord and a 3 foot middle ordinate, the tires leave a yaw mark.
so,
[tex]r^{2}=\frac{31^{2} }{8*3} + \frac{3}{2}[/tex]
[tex]r^{2} =[/tex] 40.041 + 1.5
[tex]r^{2}[/tex] = 41.041
We will now apply the following formula to get the minimum speed:
where 'f' is the drag factor and 'r' is the radius
0.2 is the drag factor, hence f=0.2
and r=41.541 feet
[tex]s= \sqrt{15*0.2*41.041}[/tex]
[tex]s=\sqrt{124.623}[/tex]
s= 11.1634 mph
11.1634 miles per hour was the lowest speed at which the brakes could be applied.
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What is the answer to ½ ½?
The answer to ½ ½ is ¼.
The mentioned symbol is representative of fraction. It can be read as 1 by 2 or 1 over 2. It can be interpreted as the ratio or comparative quantity.
For calculating the answer to this problem, we need to multiply the mentioned two fractions. As per the known rule, the multiplication of numerator values and denominator values takes place to multiply the fraction.
Value = ½ × ½
Multiplying the numerators and denominators as 1×1 and 2×2
Value = ¼
Thus, the answer to given symbols is ¼.
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The price of a video game was reduced from $70.00 to $40.00. By what percentage was the price of the video game reduced?
7x²-45x-28
factoring quadratic expressions
7x²-45x-28
ac=196
[tex]7x^{2}-49x+4x-28[/tex]
[tex]7x(x-7)+4(x-7)[/tex]
(7x+4) (x-7)
[tex]x=-\frac{4}{7}, 7[/tex]
a city currently has 137 streetlights. as part of a urban renewal program, the city council has decided to install 2 additional streetlights at the end of each week for the next 52 weeks. how many streetlights will the city have at the end of 48 weeks? streetlights
Answer:
233
Step-by-step explanation:
Number at the beginning: 137
Additional number per week: 2
Number of weeks: 48
Additional number: 2 × 48 = 96
Total number at end of 48 weeks: 137 + 96 = 233
Answer: 233
What value of x makes the equation |7x|+4 = 2x + 5 true?
1/5 or -1/9 would both be correct