In the triangle , the value is \(m\angle1\) = 64°.
What is triangle?
A triangle is a form of polygon with three sides; the intersection of the two longest sides is known as the triangle's vertex. There is an angle created between two sides. One of the crucial elements of geometry is this.
Certain fundamental ideas, including the Pythagorean theorem and trigonometry, rely on the characteristics of triangles. The angles and sides of a triangle determine its kind.
Here we know that straight line angle is add upto 180°.
Then, \(m\angle3 , m\angle5\) lies in straight line. then,
=> \(m\angle 3+m\angle 5=180\textdegree\)
=> 102°\(+m\angle3=180\textdegree\)
=> \(m\angle 3=180-102 = 78\textdegree\).
Now we know that sum of all angle in triangle is add upto 180°.
=> \(m\angle1+m\angle2+m\angle3=180\textdegree\)
=> \(m\angle1\)+ 38°+78°=180°
=> \(m\angle1\) = 180-38-78=64°.
Hence the value is \(m\angle1\) = 64°.
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HELP PLEASE
An account starts with $100 and earns 10% interest (compounded monthly). After two years, how much will be in the account? Remember, money has
2 decimal places
After two years, the account will have $121.00.
To find the amount in the account after two years, we need to use the formula for compound interest: A = P(1 + r/n)^(nt), where A is the amount in the account, P is the principal (starting amount), r is the interest rate (as a decimal), n is the number of times the interest is compounded per year, and t is the time in years.
In this case, P = $100, r = 0.10 (10% expressed as a decimal), n = 12 (monthly compounding), and t = 2. Plugging these values into the formula, we get:
A = $100(1 + 0.10/12)^(12*2) = $121.00
This means that after two years, the account will have grown to $121.00. This is because the interest earned each month is added to the account balance, and then the next month's interest is calculated based on the new balance (including the previous month's interest). Over time, this compounding effect leads to a larger overall return on the initial investment.
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A company orders 10 boxed lunches from a deli for $116.50. If each boxed lunch costs the same amount, how much do 13 boxed lunches cost?
Answer:
$151.45
Step-by-step explanation:
$116.50 divided by 10 is $11.65 which is the cost of just one box lunch. So 11.65 times 13 is 151.45. So the answer is $151.45.
Answer:
15145
Step-by step explanation:ok so I multuply 116.50x13 i got my ansanswers thene i mumultiple that by 10 and the aswer is
15,145 tyyyyyyy
why is periodic table important ?
Periodic table is important because:
It helps in classifying elements on the basis of chemical and physical properties.It helps to discover new elements.Hope it helps
Good luck on your assignment
Use the quadratic formula to solve. SHOW ALL STEPS FOR FULL CREDIT. Make sure that the final answer has a simplified radical. 2x² -10x +3
Answer:
whats that
Step-by-step explanation:
Answer:
\(x=\frac{5+\sqrt{19}}{2}\text{ and } x=\frac{5-\sqrt{19}}{2}\)
Step-by-step explanation:
If we have the standard form \(ax^2+bx+c\), then we can use the quadratic formula:
\(x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\)
First, let's identify our coefficients. We have \(2x^2-10x+3\).
This can be rewritten as \((2)x^2+(-10)x+(3)\).
Therefore, a=2, b=-10, and c=3.
Substitute these values into the quadratic formula. This yields:
\(x=\frac{-(-10)\pm\sqrt{(-10)^2-4(2)(3)}}{2(2)}\)
From here, simplify. Evaluate the expression under the square root:
\(x=\frac{10\pm\sqrt{100-24}}{4}\)
Evaluate:
\(x=\frac{10\pm\sqrt{76}}{4}\)
Note that:
\(\sqrt{76}=\sqrt{4\cdot 19}=\sqrt{4}\cdot\sqrt{19}=2\sqrt{19}\)
Therefore:
\(x=\frac{10\pm2\sqrt{19}}{4}\)
We can factor out a 2 from both the numerator and the denominator:
\(x=\frac{2(5\pm\sqrt{19})}{2(2)}\)
Simplify:
\(x=\frac{5\pm\sqrt{19}}{2}\)
Therefore, our roots are:
\(x=\frac{5+\sqrt{19}}{2}\text{ and } x=\frac{5-\sqrt{19}}{2}\)
X1 3. A firm has a production function f(x₁,x₂)= x₁¹/³ x₂²/3. The price of x₁ =1 and the price of x₂ =2. Denote the output by y. Derive the conditional demand for x₁ (equation for the y and cost minimizing x₁) and cost function c(y). If the market price is given by 2, what is the profit maximizing output? If the firm has limit of output which is 100, then derive the supply curve of this firm (note that in this case of deriving the supply curve, you should consider the general price, not 2
Given that the production function of a firm is f(x1, x2) = x1^(1/3) * x2^(2/3), where price of x1 = 1 and price of x2 = 2. Let's derive the conditional demand for x1 and cost function c(y).
Conditional demand for x1 can be derived as:
∂f(x1, x2)/ ∂x1 = (∂/∂x1) (x1^(1/3) * x2^(2/3))= (1/3) * x1^(-2/3) * x2^(2/3)
Now, put the value of x2 = (y/ x1^(1/3))^3 in the above equation.
∂f(x1, x2)/ ∂x1 = (1/3) * x1^(-2/3) * (y/ x1^(1/3))^2 = (1/3) * y^2 * x1^(-4/3)
Since price of x1 = 1, the cost function can be written as c(y) = w1 * x1 + w2 * x2 = x1 + 2x2 = x1 + 4(y/ x1^(1/3))
The cost function of the firm is
c(y) = x1 + 4y^(1/3) * x1^(-1/3) = x1 + 4y^(1/3)/x1^(1/3)
In order to maximize the profit, we need to differentiate the cost function with respect to x1 and equate it to zero.
(c(y))/d(x1) = 1 - 4/3 * y^(1/3) * x1^(-4/3) = 0
x1 = (3/4) * y^(1/3)
On substituting the value of x1 in the cost function, we get:
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Where does e come from and what does it do?
Answer:
E is a variable.
Step-by-step explanation:
E and all letters can be used as a variable(Placeholder for an unknown number) Therefore, e can be equal to anything.
six teams are out on the field playing soccer. the team all have the same number of players.
Here's link to the answer:
cutt.us/tWGpn
ind a set of parametric equations for the rectangular equation y = 3x - 5 x = t + 1, y = 3t - 2 x = t - 1, y = 4t^2 - 9t - 6 x = t - 1, y = 3t + 2 x = t, y = 4t^2 - t - 5 x = t, y = 3t - 5
To find a set of parametric equations for the given rectangular equation y = 3x - 5, we can let x be the parameter (usually denoted as t) and express y in terms of x.
Let's go through each given equation:
For y = 3x - 5, we can set x = t and y = 3t - 5. So the parametric equations are:
x = t
y = 3t - 5
For y = 3t - 2, we can set x = t - 1 and y = 3t - 2. So the parametric equations are:
x = t - 1
y = 3t - 2
For y =\(4t^2 - 9t - 6,\) we can set x = t - 1 and y = \(4t^2 - 9t - 6.\) So the parametric equations are:
x = t - 1
\(y = 4t^2 - 9t - 6\)
For y = 3t + 2, we can set x = t and y = 3t + 2. So the parametric equations are:
x = t
y = 3t + 2
For y = \(4t^2 - t - 5,\)we can set x = t and y = \(4t^2 - t - 5.\)So the parametric equations are:
x = t
\(y = 4t^2 - t - 5\)
For y = 3t - 5, we can set x = t and y = 3t - 5. So the parametric equations are:
x = t
y = 3t - 5
These are the sets of parametric equations corresponding to the given rectangular equation y = 3x - 5.
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Write an equation in slope-intercept form for the line that passes through (6,- 3) and is parallel to y = -2x + 4 *
Write an equation in slope-intercept form for the line that passes through (6,- 3) and is parallel to y = -2x + 4.
__________________________________________________________
Parallel lines are lines with the same slope but different y-intercept.
Slope-intercept form is written as y=mx+b, where m is the slope and b is the y-intercept.
__________________________________________________________
The given line is y=-2x+4. A line parallel to this would have the same slope, which is -2. To find the y-intercept, plug the point into an equation in point-slope form.
\(\displaystyle \text{Point-Slope Form} \rightarrow y-y_{1}=m(x-x_{1})\)
m is the slope, and since the slope is the same as the given line, m will be equal to 2.
The line is supposed to pass through a point, which is written as (x, y). In this line, it is supposed to pass (6, -3). x₁ will be the x value of the point, and y₁ will be the y value of the point. That means x₁ is 6 and y₁ is -3.
Substitute the values into the formula:
\(y-y_{1}=m(x-x_{1}) \rightarrow y-(-3)=2(x-6)\)
When subtracting a negative number from a number or variable, the sign will change, and the number will become positive.
\(y-(-3)=y+3\)
Here is the new equation:
\(y-3=2(x-6)\)
Distribute the 2 to everything in the parentheses. It will be 2 times x and 2 times -6. Remember that a positive number multiplied by a negative number is negative.
Positive(+) times(×) positive(+) = positive(+) Positive(-) times(×) negative(-) = negative(-) Positive(+) divided(÷) by positive(+) = positive(+) Positive(+) divided(÷) by negative(-) = negative(-)\(2 \times x=2x\\2 \times -6=-12\\\\2(x-6)=2x-12\)
Rewrite the equation:
\(y-3=2x-12\)
Lastly, you need to move -3 to the other side, as slope-intercept form is written as y=mx+b. You can move it by adding three(+3) to both sides, which is simply doing the opposite of it(-3+3=0).
\(\displaystyle y-3+3=2x-12+3\)
\(y=2x-9\)
The answer to your question is \(\bf \displaystyle y=2x-9\).
what is the value of ST?
R & U are the midpoints of TV & SV. By using mid point theorem..,
ST = 2 RU
y + 6 = 2 (y - 23)
y + 6 = 2y - 46
y - 2y = - 46 - 6
- y = -52.
=》 y = 52.
ST = y + 6 = 52 + 6 = 58
=》 ST = 58
_____
RainbowSalt2222 ☔
Suppose x is a normally distributed random variable with μ=15 and σ=2. Find each of the following probabilities. a. P(x≥18.5) b. P(x≤14.5) c. P(15.88≤x≤19.42) d. P(10.4≤x≤18.24) Click here to view a table of areas under the standardized normal curve. a. P(x≥18.5)= (Round to three decimal places as needed.)
P(x ≥ 18.5) ≈ 0.040 (rounded to three decimal places).
To find the probabilities for the given normal distribution with a mean (μ) of 15 and a standard deviation (σ) of 2, we can utilize the standardized normal distribution table or standard normal distribution calculator.
However, I'll demonstrate how to solve it using Z-scores and the cumulative distribution function (CDF) for a standard normal distribution:
a. P(x ≥ 18.5):
First, we need to calculate the Z-score for the value x = 18.5 using the formula:
Z = (x - μ) / σ
Z = (18.5 - 15) / 2
Z = 3.5 / 2
Z = 1.75
Now, we find the probability using the standard normal distribution table or calculator:
P(Z ≥ 1.75) ≈ 0.0401 (from the table)
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A runner completes a full cycle on a circular track with a radius of 100 meters in 2 minutes. Find the total displacement of the runner after 4 minutes. ( circumference )=2\pi r where \pi =3, and 1min =(60s )
The total displacement of the runner after four minutes is 1256 metres.
What is circumference of a circle?The circumference is the perimeter of a circle or ellipse. That is, the circumference would be the arc length of the circle.
The circumference of a circle is expressed as;
C = 2πr
where C is the circumference and r is the radius of the circle.
The radius of the circle is 100m
Therefore the distance of the covered in 2 minutes
= 2 × 3.14 × 100
= 6.28 × 100
= 628 metres
Therefore the distance covered in 4 minutes
= 2 × 628
= 1256 metres
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The sum of -2x 2 + x + 31 and 3x 2 + 7x -8 can be written in the form ax 2 + bx + c , where a, b, and c are constants. What is the value of a+b+c?
Answer:
hey try looking it up on hooda math answers .com
Step-by-step explanation:
For the given scenario, determine the type of error that was made, if any. (Hint: Begin by determining the null and alternative hypotheses.) A pharmaceutical company claims only 2% as the percentage of people taking a particular drug that experience significant side effects. One researcher claims that the percentage of people taking a particular drug that experience significant side effects is different from 2%. The researcher conducts a hypothesis test and fails to reject the null hypothesis. Assume that in reality, the percentage of people taking a particular drug that experience significant side effects is 2%. Was an error made?
The researcher's conclusion aligns with the reality of the situation, where the actual percentage of people experiencing significant side effects from the drug is indeed 2%.
To determine if an error was made in the given scenario, we need to analyze the researcher's hypothesis test and compare it to the reality of the situation.
Null Hypothesis (H₀): The percentage of people taking the drug that experience significant side effects is equal to 2%.
Alternative Hypothesis (H₁): The percentage of people taking the drug that experience significant side effects is different from 2%.
In this case, the researcher conducted a hypothesis test and failed to reject the null hypothesis. This means that the researcher did not find sufficient evidence to support the claim that the percentage of people experiencing significant side effects from the drug is different from 2%.
Now, considering the reality of the situation, which states that the actual percentage of people experiencing significant side effects from the drug is indeed 2%, we can evaluate the possible errors that could have been made in the hypothesis test.
There are two types of errors that can occur in hypothesis testing:
1. Type I Error: This occurs when the null hypothesis is rejected, but it is actually true. In this scenario, the researcher failed to reject the null hypothesis, which means they did not commit a Type I Error.
2. Type II Error: This occurs when the null hypothesis is not rejected, but it is actually false. In this case, since the researcher failed to reject the null hypothesis and the null hypothesis is actually true (the actual percentage is 2%), the researcher did not commit a Type II Error either.
Therefore, based on the information provided, no error was made in the hypothesis testing process. The researcher's conclusion aligns with the reality of the situation, where the actual percentage of people experiencing significant side effects from the drug is indeed 2%.
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P = (x < x <5)
List the element of this set given
Set x<5 = sagutan mo apapapdifuv
Which of the following statements must be true about this diagram? Check all that apply.
The following are the true statements are
m<4 is greater than m<2
m<4 is greater than m<1
m<1 + m<2= m<4
What is exterior angle property?If a side of a triangle is produced, then the exterior angle so formed is equal to the sum of the two interior opposite angles.
As, by property
m<1 + m<2= m<4
and, the measure of each individual angle is less than angle 4.
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Box a had 3 times as many buttons as box b. after 15% of the buttons in box a and 10% of the buttons in box b were transferred to box c, the number of buttons in box c increased by 33%. if box c had 266 buttons in the end, how many buttons were there in box a in the end.
There were 118.22 buttons in box a initially and 354.67 buttons in box a in the end.
Let x = the number of buttons in box a initially.
There were 3x buttons in box a initially, and x buttons in box b initially.
15% of x is 0.15x, and 10% of x is 0.10x.
Thus, the 33% increase in buttons for box c was (0.15x + 0.10x).
We can set up the equation as follows:
0.15x + 0.10x + x + x = 266
0.25x + 2x = 266
2.25x = 266
x = 266/2.25
x = 118.22
Thus, there were 118.22 buttons in box a initially and 354.67 buttons in box a in the end.
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Solve 11 = 6 + a help pls
Answer:
Subtraction Property of Equality
Step-by-step explanation:
Subtract six from both sides
5=a
if the expression $(12-x)\div(3x)$ represents a non-negative integer, what is the largest possible integer value of $x$?
The largest possible value of the expression (12 - x)/3x is 3.
Expression
In algebra, expression is the combination of variables, numbers and constants.
Given,
Here we have the expression (12 - x)/3x.
Now we have to find the largest possible integer value.
As we have given in the question that the x takes only the non negative integer, then the values must be 1, 2, 3, ….
So, we have to apply the values on the given expression ,
Then we get the values,
=> x = 1 = > (12 - 1)/3(1) = 11/3 = 3.6
=> x = 2 => (12 - 2) / 3(2) = 10/6 = 1.6
=> x = 3 => (12 - 3) / 3(3) = 9/9 = 1
Therefore, the resulting value is 3.
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if a, b, and c are boolean variables, then the value of !(a & !(b & !c)) is the same as which of these expressions: !a || (!b || c) !a || (b & !c) (!a || b) & !c
The value of the expression is the same as the second option: !a || (b & !c).
What are boolean variables?Boolean variables are variables that can have only one of two possible values: true or false. They are named after the 19th-century mathematician George Boole, who developed a system of logic based on binary values. In computer programming, boolean variables are commonly used to represent conditions or states that can be either true or false, such as whether a certain condition is met or whether a certain task has been completed.
The expression !(a & !(b & !c)) can be simplified using De Morgan's laws and distributive property to obtain:
!(a & !(b & !c)) = !a || (b & !c)
Therefore, the value of the expression is the same as the second option: !a || (b & !c).
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The answer to this question
Answer:
I don't know the answer sorry
Find the square root of the following decimal numbers.
(b) 0.0016
The square root of the decimal number is √0.0016 = 0.04
How to find the square root of the decimal number?Here we can find the square root of the decimal number:
N = 0.0016
Notice that we can write this number as:
0.0016 = 16*10⁻⁴
Now we can take the square root of that, so we will get:
√(16*10⁻⁴)
We can distribute the square root to get:
√16*√10⁻⁴
These two are easy, we will get:
√16*√10⁻⁴ = 4*10⁻² = 0.04
That is the square root.
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A blog refers to a website that contains a personal journal. According to one analyst, over a several year period, the number of blogs in existence followed a certain pattern. The analyst estimated that there were about 60,000 blogs in the first year, 120,000 in the second year, and 240,000 inthe third year. If the analyst was correct, how many blogs were there in the 5th year?
Using geometric progression, There will be 960,000 blogs in the fifth year.
Describe the geometry's progression.A unique type of sequence known as a geometric sequence has a set ratio between each pair of consecutive phrases. One of the frequently occurring ratios in the geometric sequence is this one.
The analyst estimated that there were roughly 60,000 blogs in the first year, 120,000 blogs in the second year, and 240,000 blogs in the third year based on this information.
As can be seen, the numbers follow a geometric trend with a common ratio of 2.
The common ratio is denoted by the letter "r" in all geometric sequence formulas. It is the proportion of any geometric phrase to the term before it. For instance, the geometric series -1, 2, -4, 8,... has a common ratio of -2.
So, In the fourth year, they will again double up = 480,000
In the fifth year, they will be double the fourth year's = 960,000
Therefore, there will be 960,000 blogs in the fifth year.
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Find the first derivative for each of the following:
y = 3x2 + 5x + 10
y = 100200x + 7x
y = ln(9x4)
The first derivatives for the given functions are:
For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.
For \(y = 100200x + 7x,\) the first derivative is dy/dx = 100207.
For \(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.
To find the first derivative for each of the given functions, we'll use the power rule, constant rule, and chain rule as needed.
For the function\(y = 3x^2 + 5x + 10:\)
Taking the derivative term by term:
\(d/dx (3x^2) = 6x\)
d/dx (5x) = 5
d/dx (10) = 0
Therefore, the first derivative is:
dy/dx = 6x + 5
For the function y = 100200x + 7x:
Taking the derivative term by term:
d/dx (100200x) = 100200
d/dx (7x) = 7
Therefore, the first derivative is:
dy/dx = 100200 + 7 = 100207
For the function \(y = ln(9x^4):\)
Using the chain rule, the derivative of ln(u) is du/dx divided by u:
dy/dx = (1/u) \(\times\) du/dx
Let's differentiate the function using the chain rule:
\(u = 9x^4\)
\(du/dx = d/dx (9x^4) = 36x^3\)
Now, substitute the values back into the derivative formula:
\(dy/dx = (1/u) \times du/dx = (1/(9x^4)) \times (36x^3) = 36x^3 / (9x^4) = 4/x\)
Therefore, the first derivative is:
dy/dx = 4/x
To summarize:
For \(y = 3x^2 + 5x + 10,\) the first derivative is dy/dx = 6x + 5.
For y = 100200x + 7x, the first derivative is dy/dx = 100207.
For\(y = ln(9x^4),\) the first derivative is dy/dx = 4/x.
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In circle K, what is the value of x? x = 30° x = 25° x = 20° x = 15º A triangle inscribed in a circle having one side as diameter, center labeled as K and two angles labeled X degrees and seventy-five degrees. The angle with x degrees is on the right side of the diameter. The 75 degree angle is on the left side of the diameter.
Answer:
The correct option is 4.
Hope this helps :D
Step-by-step explanation:
Given information: K is the center of the circle. AB is the diameter of the circle.
Angle subtended by a diameter is always a right angle. It the means the measure of that angel is 90 degree.
According to the angle sum property, the sum of interior angles of a triangle is 180 degree.
Using angle sum property in triangle ABC, we get
(Chapter 10) If the parametric curve x = f(t), y = g(t) satisfies g'(1) = 0, then it has a horizontal tangent when t = 1.
It is true that the slope of the horizontal tangent line to the parametric curve at a point (x(t), y(t)) is given by dy/dx = (dy/dt)/(dx/dt).
The statement is saying that if f(g(t)) has a horizontal tangent at t = 1, then the curve has a well-defined tangent line at that point, which is also a horizontal tangent. Let's break this down step by step:
f(g'(1)) = 0: This means that the derivative of f with respect to its input g(t) is equal to zero at t = 1. In other words, the slope of the tangent line of f(g(t)) at t = 1 is zero.
dx/dt is not zero at t = 1: This means that the curve g(t) has a well-defined tangent line at t = 1, because the slope of the tangent line of g(t) is not infinite (i.e., the derivative dx/dt is defined and finite).
Setting dy/dx = 0 gives dy/dt / dx/dt = 0: This is using the chain rule of differentiation to relate the derivative of f with respect to t (i.e., dy/dt) to the derivative of f with respect to x (i.e., dy/dx) and the derivative of g with respect to t (i.e., dx/dt).
dy/dt = 0 when dx/dt is not zero: Since dy/dx = 0 and dx/dt is not zero, we can conclude that dy/dt must also be zero at t = 1. This means that the slope of the tangent line of f(g(t)) is also zero at t = 1.
Therefore, the curve has a horizontal tangent at t = 1: Since both g(t) and f(g(t)) have horizontal tangents at t = 1, we can conclude that the curve f(x) also has a horizontal tangent at x = g(1). This means that the tangent line to the curve at that point is horizontal.
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Stephanie took her family out to Texas Roadhouse and is getting ready to pay the dinner bill. The bill is $57. 50. If she plans on leaving an 18% tip, what is the total dinner cost?
To calculate the total dinner cost, we need to add the bill amount to the tip amount.
The tip amount is 18% of the bill amount:
Tip = 0.18 x $57.50 = $10.35
Therefore, the total dinner cost is:
Total Cost = Bill Amount + Tip Amount
Total Cost = $57.50 + $10.35
Total Cost = $67.85
So, the total dinner cost including the 18% tip is $67.85.
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 please help me with this linear problem.
Answer:
the ans is f(x)=1.7x+21,472
The equation of the function is exponential and the function is f(x) = 21472(1.017)ˣ.
How to solve exponential equation?The population of a small town in Connecticut is 21,472 and the expected population growth is 1.7% each year.
Let's use a function to represent the town's population x years from now.
Hence,
1.7% = 1.7 / 100 = 0.017
Therefore,
f(x) = 21472(1 + 0.017)ˣ
Hence,
f(x) = 21472(1.017)ˣ
Therefore, the function is exponential.
The equation of the function is f(x) = 21472(1.017)ˣ
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Need help worth 20 points
Answer:
I believe it's 17.202
Step-by-step explanation:
first Lets add the number of people at the age of 50 and over who have done highschool only and some college.
1942+1057= 2999
then multiply that by 100 divided by the total:total
2999*100/17434=17.20201904
answer 17.202
I would still check though cause i'm not sure if this is correct
Which student has the greater median test score?
Answer:
amy, since the middle term is further up the graph
Step-by-step explanation:
median is the middle term, amy's middle term is further