The exponential function of the population is P(x) = 15000 * 1.046^x
Calculating the exponential function of the populationFrom the question, we have the following parameters that can be used in our computation:
Initial, a = 15000
Rate, r = 4.6%
The equation of the function is represented as
P(x) = a * (1 + r)^x
Substitute the known values in the above equation, so, we have the following representation
P(x) = 15000 * (1 + 4.6%)^x
Evaluate
P(x) = 15000 * 1.046^x
Hence, the function is P(x) = 15000 * 1.046^x
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Identify the kind of sample that is described.
A football coach randomly selected the varsity or junior varsity team and then asks all players from that team their opinion on a new logo.
A. Stratified
B. Simple Random
C. Voluntary Response
D. Cluster
E. Systematic
The given sample of the randomly selected players from the teams as described is a stratified sample. Hence, the right answer is option A.
In a stratified sample, the population is divided into groups (or strata) based on some characteristic, and a random sample is selected from each group. In this case, the population is the football players, and the groups are the varsity and junior varsity teams. The coach randomly selects one of these teams and then asks all players from that team their opinion on a new logo.
This type of sampling is used when the population is divided into subgroups that are different in some way, and the researcher wants to ensure that these subgroups are represented in the sample. In this case, the coach wants to ensure that both varsity and junior varsity players are represented in the sample, as they may have different opinions on the new logo.
It's not a simple random sample because he selected the team first and then the players. Also, it's not a voluntary response sample because the coach is selecting the players.
It's not a cluster sample because the coach is not selecting the players based on location or geographic proximity, and it's not a systematic sample because he is not selecting the players based on the order in which they appear in a list or a database.
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Simplify (w3)4•(w5)2
Answer:
\(w^{22}\)
Step-by-step explanation:
\((w^3)^4\cdot(w^5)^2=w^{3*4}\cdot w^{5*2}=w^{12}\cdot w^{10}=w^{12+10}=w^{22}\)
can you please help me
Answer:
The answer is true!
Step-by-step explanation:
Since B is in the middle and they both are congruent.
Find the equation of the line: through(2, 3), perpendicular to a line through (0,0) and (5,4)
y= -5/4x + 11/2
1) Since we have point (2,3) and it is perpendicular to points (0, 0) and (5,4)
Let's find out the slope between (0, 0) and (5,4)
2) As it is perpendicular, then the slope is reciprocal and opposite to 4/5, so that slope is going to be -5/4
Let's plug point (2,3) , as point (2,3) belongs to that line, into the slope-intercept formula:
(2,3)
y=mx +b
3 =2 (-5/4) +b
3 =-5/2 +b
3+5/2 = b
b=11/2 Linear coefficient
3) So finally, we can write the equation of that line as y=-5/4x + 11/2
please help need asap
Answer: X = 21/6
Step-by-step explanation:
The angle is a 90 degree angle.
that means we know 21x+6=90
21x = 90-6
21x=84
x = 84/24
x = 21/6
x = 21/6
Which statement about the zeros of the graphed function is true?
A polynomial function passes through (0.8, 4), (2, minus 4), (4.6, 0.5), (6, 0), and (7.5, 8) also intercepts the x-axis at 1, 4 and 6 units.
A.
The function has three distinct real zeros.
B.
The function has two distinct real zeros and two complex zeros.
C.
The function has four distinct real zeros.
D.
The function has one distinct real zero and two complex zeros.
The function has three distinct real zeros.
The correct answer is A.
To determine the statement about the zeros of the graphed function, let's analyze the given information.
We have the following points on the graph:
(0.8, 4), (2, -4), (4.6, 0.5), (6, 0), and (7.5, 8)
Additionally, the function intercepts the x-axis at 1, 4, and 6 units.
To find the zeros of the function, we need to identify the x-values where the function intersects the x-axis.
From the given information, we know that the function intersects the x-axis at 1, 4, and 6 units.
These three x-values correspond to three distinct real zeros of the function.
The correct statement about the zeros of the graphed function is:
The function has three distinct real zeros.
The correct answer is A.
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2. There are 18 girls and 21 boys in a classroom. Write the ratio of girls to boys
help
Answer:
6:7
Step-by-step explanation:
both values can be divided by 3
Please anyone help me
Answer:
-52
Step-by-step explanation:
plug 2 into u(x) which is equal to
2(5) + 1= 5
plug 5 into w(x) which is equal to
-2(5^2) - 2
-2(25) - 2
-50 - 2 = -52
what is the area 64/5 and 43/4
The area of the rectangle with given length and width is 137.6 cm² .
In the question ,
it is given that ,
the length of the rectangle = 64/5 cm and
the width of the rectangle = 43/4 cm
we know that the formula for the Area of rectangle is
Area = length × width
Substituting the value of length as 64/5 and width as 43/4 .
we get ,
Area = 64/5 × 43/4
= (64 × 43)/(5 × 4)
Simplifying further ,
we get ,
= 2752/20
= 137.6 cm²
Therefore , The area of the rectangle with given length and width is 137.6 cm² .
The given question is incomplete , the complete question is
What is the area of the the rectangle with length 64/5 cm and width 43/4 cm ?
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Find the equation of the line containing the points (5/7,4) and (-5/7,3)
Answer:
y=\(\frac{7}{10}x+\frac{7}{2}\)
Step-by-step explanation:
Hi there!
We want to find the equation of the line containing the points (5/7,4) and (-5/7, 3)
The most common way to write an equation of the line is slope-intercept form, which is given as y=mx+b where m is the slope and b is the y intercept
So first, let's find the slope of the line
The formula for the slope calculated from two points is \(\frac{y_2-y_1}{x_2-x_1}\) where (\(x_1\),\(y_1\)) and (\(x_2\),\(y_2\)) are points
We have everything needed to find the slope, but let's label the values of the points to avoid any confusion
\(x_1\)=5/7
\(y_1\)=4
\(x_2\)=-5/7
\(y_2\)=3
Now substitute into the formula
m=\(\frac{y_2-y_1}{x_2-x_1}\)
m=\(\frac{3-4}{\frac{-5}{7}-\frac{5}{7}}\)
Subtract and simplify
m=\(\frac{-1}{\frac{-10}{7}}\)
m=-1*\(\frac{7}{-10}\)
m=\(\frac{-7}{-10}\)
m=\(\frac{7}{10}\)
So the slope of the line is \(\frac{7}{10}\)
Here is the equation of the line so far:
y=\(\frac{7}{10}x\)+b
We need to find b
As the equation of the line passes through both (5/7, 4) and (-5/7, 3), we can use either one of them to solve for b
Let's take (5/7, 4) for this case
Substitute x as 5/7 and y as 4
4=\(\frac{7}{10}\)*\(\frac{5}{7}\)+b
Multiply and simplify the fractions
4=\(\frac{1}{2}\)+b
subtract 1/2 from both sides
\(\frac{7}{2}\)=b
So the equation of the line is y=\(\frac{7}{10}x\)+\(\frac{7}{2}\)
Hope this helps!
What is the slope of the line through? (-4, 2) and (3, -3)?
Answer:
c. -5/7
Step-by-step explanation:
Are the fractions 4 6 and 6 9 equivalent?; What is 4/5 equivalent to as a fraction?; Are the fractions 8/12 and 4/6 equivalent fractions?; How do you simplify 4 6?
It's a fraction of the same value. 6/9 is the same as 2/3 and 4/6.
As a fraction, what does 4 5 means?As a result, the fractions 8/10, 12/15, 16/20, and 20/25 are all equivalent to 4/5.
What does 4/5 represent as a percentage?80% can be written as 4/5, which is the same as 80%. Let's learn how to change a fraction to a percentage.
In math, what is a fraction?A fraction is an element of a larger whole. In math, the number is communicated as a remainder, in which the numerator is separated by the denominator. Both are integers in a straightforward fraction. There is a fraction in the numerator or denominator of a complex fraction. The numerator of a proper fraction is less than the denominator.
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The art teacher bought 6 boxes of colored pencils. Each box contains 12 colored pencils. She wants to give each of her 10 students as many colored pencils as possible and keep the rest. Based on this information, which statement is true
Answer:
60
Step-by-step explanation:
(6x12)-(6x2)
72-12
60
Answer:
I need the statement before I answer
Step-by-step explanation:
11. Which of the following shows the first 5 terms in
the sequence defined by f(1) = -8, f(n) = 2f(n - 1)?
f. 2, -16, 128, -1024, 8192
h.2, -6, -14, -22,-30
g. -8, -16, -32, -64, -128
j. -8, -6, -4, -2,0
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Mar
At the craft store, Rudy bought a bag of green and red marbles. The bag contained 60 marbles, and 60% of them green. How many green marbles did Rudy receive?
Answer:
36 green marbles
Step-by-step explanation:
If 60% of the 60 marbles in the bag are green, then the number of green marbles can be calculated as:
Green marbles = 60% x 60 marbles
To simplify this calculation, we can convert 60% to a decimal by dividing by 100:
Green marbles = 0.60 x 60 marbles
Green marbles = 36 marbles
Therefore, Rudy received 36 green marbles.
Answer: 36
Step-by-step explanation:
60 is 6/10 of 100 so if you are taking a percent of 60 just multiply the percentage by 6/10. 6/10 of 60 is 36
Using the picture attached, find x to the nearest thousandth.
The value of x in the triangle will be 19.7°.
We are given the sides of the triangle as:
5, 7 and 11 units
We need to find the measure of angle x
Now, for this, we will make use of the trigonometric ratios.
We know that:
a² = b² + c² - 2 b c Cos A
here A = x
a = 5
b = 11
c = 7
We get that:
5² = 11² + 7² - 2 (11) (7) Cos x
25 = 121 + 49 - 154 Cos x
Cox x = 145 / 154
x = 19.7°
Therefore, we get that, the value of x in the triangle will be 19.7°.
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Find all points on the x-axis that are 6 units from the point (4,-3).
Answer:
IIUIOIOIO
Step-by-step explanation:
1.171875 as a fraction
false
it is a decimal not a fraction
-2(x+1)-x+5 what do you think it is
Answer:
The answer is -3x + 3
Tina has volunteered at the pet shelter 4 more times than Kai. Tina has volunteered 16
times Which equation represents this situation?
A. 16+k-4
B. 16k-4
C. K+4=16
D. 4K=16
The correct answer is option C: \(\(k + 4 = 16\).\) This linear equation represents the relationship between Tina and Kai's volunteer times.
To represent the given situation, the equation that correctly represents the relationship between Tina's volunteer times (Tina = 16) and Kai's volunteer times (Kai = k) is:
\(\[Tina = Kai + 4\]\)
In this equation, Tina's volunteer times are represented by "Tina," and Kai's volunteer times are represented by "Kai." Since Tina has volunteered 4 more times than Kai, we add 4 to Kai's volunteer times to get the total number of times Tina has volunteered.
Substituting the given values, we have:
\(\[16 = k + 4\]\)
This equation represents the fact that Tina has volunteered \(16\) times, which is equal to Kai's volunteer times (k) plus the additional 4 times that Tina volunteered.
Simplifying the equation:
\(\[k + 4 = 16\]\)
This equation is equivalent to the original equation and represents the relationship between Tina and Kai's volunteer times. Hence, the correct answer is option C: \(\(k + 4 = 16\).\)
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x + 3y >/3
5x + 3y -9
Someone please help me ASAP!!! Find an equation for the sine graph
Answer:
Step-by-step explanation:
This graph goes up to 2 and down to -2, which tells us that the amplitude of the waves is 2. In the equation for the parent graph, y = sinx, we will throw the 2 out front which is where the amplitude goes in sin and cos curves:
y = 2sinx
Question 9 of 10
What is the area of the polygon given below?
3
3
19
14
2
12
Answer:
Please could you add an image, maybe I could answer then
Step-by-step explanation:
271 unit² is the area of the polygon. The correct option is option B among all the given options.
What is area?The size of a patch on a surface is determined by its area. Surface area is defined as the circumference of an open surface or indeed the boundaries of a three-dimensional object, whereas the area of a plane region and plane area relates to the area of a form or planar lamina.
Area can be interpreted as the quantity of material with such a specific thickness required to create a replica of the shape or as the quantity of paint required to completely cover a surface in a single coat. This is the two-dimensional equivalent of the volume of a solid or the length of a curve.
The area is the sum of 3 rectangles are:
First 12 × 19 = 228
Second 3 × 3 = 9
Third 2 × 17 = 34
total area = 228 + 34 + 9 = 271 unit²
Therefore, 271 unit² is the area of the polygon. The correct option is option B.
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Your question is incomplete but most probably your full question was,
What is the area of the polygon given below
Mrs. Smith made 6 ¼ dozen cookies for the birthday party. At the end of the party, there were 3 ½ dozen cookies left. How many cookies did the guests eat?
The guests in the birthday party ate 33 cookies.
How many cookies did the guests eat?We know that Mrs. Smith made 6 1/4 dozen cookies and there were 3 1/2 dozen cookies left.
Let's first convert these fractions to a common denominator of 4, so we can easily subtract them.
6 1/4 dozen = 25/4 dozen
3 1/2 dozen = 14/4 dozen
Now we can subtract the number of cookies that were left from the number of cookies that were made:
25/4 - 14/4 = 11/4 dozen
To find out how many cookies this represents, we need to multiply by the number of cookies in one dozen.
There are 12 cookies in one dozen, so:
11/4 x 12 = 33
Therefore, the guests ate 33 cookies.
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3(x² - 4y + x) when x = 6 and y = 7
Answer:
42
Step-by-step explanation:
3(6^2-4*7+6)
6^2=36
4*7=28
(36-28+6)=14
3(14)=42
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A square and a rhombus have the following in common except:
A) opposite pairs of sides are parallel.
B) opposite pairs of sides are congruent.
C) pairs of interior and exterior angles are supplementary.
D) all interior angles are 90º.
Answer: D.All interior angles are 90 degrees
what is the missing number of 6/7
Math Club members are selling games and puzzles. They make a profit of $10 per game and $8 per puzzle. They would like to make a profit of at least $200.
Answer:
a) \(10x+8y \geq 200\)
b) The members should sell at least 15 puzzles
Step-by-step explanation:
Let x represents selling games
and y represents puzzles
The statement given is: They make a profit of $10 per game and $8 per puzzle. They would like to make a profit of at least $200.
a) The inequality will be:
\(10x+8y \geq 200\)
at least 200 means the profit can be equal to 200 or greater than that.
b) If the members sell 8 games, how many puzzles would they have to sell?
Number of puzzles sold can be solved by solving the inequality \(10x+8y \geq 200\)
Put x =8 and find value of y
\(10x+8y \geq 200\\10(8)+8y\geq 200\\80+8y\geq 200\\8y\geq 200-80\\8y\geq 120\\y\geq \frac{120}{8}\\y\geq 15\)
So, the members should sell at least 15 puzzles to make the inequality true. because the profit should be at least $200.
convert 2/5 % to fraction
Answer:
\(2.5\% = \frac{2.5}{100} \\ \\ = \frac{25}{1000} \)
divide numerator and denominator by 25:
\( = \frac{25 \div 25}{1000 \div 25} \\ \\ ={ \boxed{ \boxed{ \frac{1}{40} }}}\)