If mLEFD=2x -3 and mZDFG= x+12, the measure of angle LEFD (mLEFD) is 27.
To find the measure of angle LEFD (mLEFD), we need to equate it to the given expressions mLEFD = 2x - 3 and mZDFG = x + 12.
Since angle LEFD and angle ZDFG are alternate interior angles, they are congruent.
Therefore, we have:
mLEFD = mZDFG
Substituting the expressions for mLEFD and mZDFG:
2x - 3 = x + 12
Next, we solve the equation for x by isolating the variable:
2x - x = 12 + 3
x = 15
Now that we have the value of x, we can substitute it back into the expression for mLEFD to find the measure of angle LEFD:
mLEFD = 2(15) - 3
mLEFD = 30 - 3
mLEFD = 27
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Bookwork code: G15
There are two bags of marbles. The first contains
one blue, one yellow and two red marbles. The
second contains one red, one blue and two yellow
marbles. A random marble from each bag is
removed. What is the probability of removing a
blue and a yellow? Give your answer as a fraction
in its simplest form.
Bag 1
Bag 2
R
BYY
BB, RB, BB,Y B,Y
Y Y,RY,BY,YY,Y
RR,RR, BR,Y R,Y
RR,RR, BR,Y R,Y
Answer: 5/ 16
explanation: total= 4x4=16
red and yellow : (r,y) or (y,r)
n= 5
p= 5 1/1 16
p = 5 over 16
En un terreno rectangular que mide 64 cm por 18 cm, van a construir en el 50 % una casa ¿Cuál es el área construida?
The built area of 50% of the house on the rectangular piece of land measures 576 cm^2.
To find the built area of 50% of a house on a rectangular piece of land, we need to calculate the area of the rectangular piece of land and then determine 50% of that area.
The rectangular piece of land has dimensions of 64 cm by 18 cm. To calculate the area, we multiply the length by the width:
Area = Length * Width
Area = 64 cm * 18 cm
Area = 1152 cm^2
The total area of the rectangular piece of land is 1152 cm^2.
To find the built area, which is 50% of the total area, we multiply the total area by 50% (or 0.5):
Built Area = Total Area * 50%
Built Area = 1152 cm^2 * 0.5
Built Area = 576 cm^2
Therefore, the built area of 50% of the house on the rectangular piece of land measures 576 cm^2.
It's important to note that this calculation assumes that the built area is uniformly distributed on the land and represents half of the house's total area. The actual shape and distribution of the house may vary, but this calculation provides an estimate of the built area based on the given information.
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Note the translate question is:
On a rectangular piece of land that measures 64 cm by 18 cm, they are going to build 50% of a house. What is the built area?
Answer:
Step-by-step explanation:
waza skibidi domo dom yes yes insanito free fire
Given the following rectangles, identify all combinations of assembling these rectangles for which it is possible to create a rectangle with the length of 15 and the width 11 with no gaps or overlapping. You can't cut any of the rectangles but you may use some of them multiple times. More than one answer may be correct; mark all that apply.
Rectangles you are given:
answer options:
two C rectangles, two D rectangles, and two B rectangles
one each of rectangles A, B, C, and D
one A rectangle and four B rectangles
three E rectangles and two B rectangles
one E rectangle, one C, one D, and three B rectangles
The combinations of assembling these rectangles for which it is possible to create a rectangle with the length of 15 and the width 11 with no gaps or overlapping are:
One each of rectangles A, B, C, and D.One A rectangle and four B rectangles.What is a rectangle?A rectangle is a plane figure with four straight sides and four right angles, especially one with unequal adjacent sides.
Required
Which group forms a rectangle of
[tex]\text{Length}=15[/tex]
[tex]\text{Width}=11[/tex]
First, calculate the area of the big rectangle
[tex]\text{Area}=\text{Length}\times\text{Width}[/tex]
[tex]\text{A}_{\text{Big}}=15\times11[/tex]
[tex]\text{A}_{\text{Big}}=165[/tex]
Next, calculate the area of each rectangle A to E.
[tex]\text{A}_{\text{A}}=11\times7[/tex]
[tex]\text{A}_{\text{A}}=77[/tex]
[tex]\text{A}_{\text{B}}=2\times11[/tex]
[tex]\text{A}_{\text{B}}=22[/tex]
[tex]\text{A}_{\text{C}}=6\times6[/tex]
[tex]\text{A}_{\text{C}}=36[/tex]
[tex]\text{A}_{\text{D}}=6\times5[/tex]
[tex]\text{A}_{\text{D}}=30[/tex]
[tex]\text{A}_{\text{E}}=13\times4[/tex]
[tex]\text{A}_{\text{E}}=52[/tex]
Then consider each option.
(a) 2C + 2D + 2B
[tex]2\text{C}+2\text{D}+2\text{B}=(2\times36)+(2\times30)+(2\times22)[/tex]
[tex]2\text{C}+2\text{D}+2\text{B}=72+60+44[/tex]
[tex]2\text{C}+2\text{D}+2\text{B}=176[/tex]
(b) A + B + C + D
[tex]\text{A}+\text{B}+\text{C}+\text{D}=77+22+36+30[/tex]
[tex]\text{A}+\text{B}+\text{C}+\text{D}=165[/tex]
(c) A + 4B
[tex]\text{A} + 4\text{B}=77+(4\times22)[/tex]
[tex]\text{A} + 4\text{B}=77+88[/tex]
[tex]\text{A} + 4\text{B}=165[/tex]
(d) 3E + 2B
[tex]3\text{E}+2\text{B}=(3\times52)+(2\times22)[/tex]
[tex]3\text{E}+2\text{B}=156+44[/tex]
[tex]3\text{E}+2\text{B}=200[/tex]
(e) E + C + D + 3B
[tex]\text{E} + \text{C} + \text{D} + 3\text{B}=52+36+30+(3\times22)[/tex]
[tex]\text{E} + \text{C} + \text{D} + 3\text{B}=52+36+30+66[/tex]
[tex]\text{E} + \text{C} + \text{D} + 3\text{B}=184[/tex]
Recall that:
[tex]\text{A}_{\text{Big}}=165[/tex]
Only options (b) and (c) match this value.
[tex]\text{A}+\text{B}+\text{C}+\text{D}=165[/tex]
[tex]\text{A} + 4\text{B}=165[/tex]
Hence, options (b) and (c) are correct.
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7
9
S
.
3+
2-
D
A
3
4
Mark this and return
C
S
B
What is the area of parallelogram ABCD?
13 square units
O 14 square units
15 square units
16 square units
Save and Exit
Next
Submit
The area of the parallelogram ABCD is (a) 13 square units.
What is the area of the parallelogram?Area of a parallelogram = Length × Width
Length = distance AB
Where
A = (3, 6) and B = (6, 5)
So, we have
[tex]Length = \sqrt{ {(3 - 6)}^{2} + (6 - 5) ^{2} }[/tex]
[tex] = \sqrt{ {( - 3)}^{2} + (1) ^{2} }[/tex]
[tex] = \sqrt{ 9 + 1 }[/tex]
[tex]= \sqrt{10}[/tex]
Next, we have
Width = distance AD
Where
A = (3, 6) and D = (2, 2)
So, we have
[tex]width = \sqrt{ {(3 - 2)}^{2} + (6 - 2) ^{2} }[/tex]
[tex] = \sqrt{ {( 1)}^{2} + (4) ^{2} }[/tex]
[tex]= \sqrt{ 1 + 16 }[/tex]
[tex]= \sqrt{17}[/tex]
Recall that
Area of a parallelogram = Length × Width
So, we have
= √10 × √17
Evaluate the products
√170
Take the square rppt
= 13.03840481040529
Approximately, 13 square units
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Complete question:
What is the area of parallelogram ABCD?
O 13 square units
O 14 square units
O 15 square units
O 16 square units
See attachment
Exam: 02.02 Evaluating Functions
Exam: 02.02 Evaluating Functions
Student Name: jayden acevedo
Warning
There is a checkbox at the bottom of the exam form that you MUST check prior to submitting this exam. Failure to do so may cause your work to be lost.
Question 1(Multiple Choice Worth 1 points)
(02.02 LC)
If f(x) = 2(x − 5), find f(8).
4
6
8
16
Question 2(Multiple Choice Worth 1 points)
(02.02 MC)
Let the graph of f(x) represent the cost in thousands of dollars to feed the zoo animals daily, where x is the number of animals measured in hundreds. What does the solution to the function (2, 8) represent?
a graph of a function that increases from the lower left, travels through an ordered pair labelled, 2, 8, and then increases toward the right
There are 800 animals, and the cost is $2,000 daily.
There are 8,000 animals, and the cost is $200 daily.
There are 200 animals, and the cost is $8,000 daily.
There are 2,000 animals, and the cost is $800 daily.
Question 3(Multiple Choice Worth 1 points)
(02.02 MC)
Kayla and her best friend Christina go shopping. The function p(x) = 2x4 + 6x3 − 3x2 + 24 represents how much money each girl spent based on the number of hours they were shopping. If Kayla and Christina each go shopping for 2 hours, how much money did they spend together?
$44
$88
$92
$184
Question 4(Multiple Choice Worth 1 points)
(02.02 MC)
Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement best describes the meaning of f(150)?
f(150) represents the average number of days houses stay on the market before being sold for $150,000.
Houses sell on the market for an average of $150,000 and stay on the market an average of 150 days before being sold.
Houses sell for an average of $150,000.
f(150) indicates houses stay on the market an average of 150 days before being sold.
Question 5 (Fill-In-The-Blank Worth 1 points)
(02.02 MC)
Use the graph to fill in the blank with the correct number.
f(−2) = ________
X, Y graph. Plotted points negative 3, 0, negative 2, 2, 0, 1, and 1, negative 2.
Numerical Answers Expected!
Answer for Blank 1:
-1
Question 6(Multiple Choice Worth 1 points)
(02.02 MC)
Jade decided to rent movies for a movie marathon over the weekend. The function g(x) represents the amount of money spent in dollars, where x is the number of movies. Does a possible solution of (6.5, $17.50) make sense for this function? Explain your answer.
Yes. The input and output are both feasible.
No. The input is not feasible.
No. The output is not feasible.
No. Neither the input nor output is feasible.
For the above function describing movie rental expenses, neither the input (6.5) nor the output ($17.50) are possible or reasonable.
The solution (6.5, $17.50) does not make sense for the function g(x) representing the amount of money spent on renting movies, where x is the number of movies.
The reason is that the input value, 6.5, does not make sense in the context of renting movies. The number of movies rented should be a whole number, not a decimal or fractional value. Therefore, the input is not feasible.
In addition, the output value, $17.50, does not make sense either. Typically, the cost of renting movies is given in whole dollar amounts. It is highly unlikely to have a rental cost of $17.50 for a movie marathon involving 6.5 movies. Therefore, the output is not feasible.
In conclusion, neither the input (6.5) nor the output ($17.50) is feasible or realistic for the given function representing movie rental expenses.
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Select the correct answer.
Based on these segment lengths, which group of segments cannot form a triangle?
OA. 12, 7, 8
OB.
OC.
SO D.
*
8, 7, 13
1, 2, 3
80, 140, 70
Reset
Nex
Current Attempt in Progress
Find the equation of the tangent line to the following curve
at the indicated point.
The equation of the tangent line at the point (108, 6) on the curve y² = x²/(xy - 324) is: y = 6
How to find the equation of the tangent?
The equation is given as:
y² = x²/(xy - 324) at (108, 6)
Differentiating implicitly with respect to x gives:
2y(dy/dx) = (2x(xy - 324) - x²(y - 324)(dy/dx)) / (xy - 324)²
Simplifying further using power rule and chain rule gives us:
[tex]\frac{dy}{dx} = \frac{x^{2}y - 648x }{2y(-324 + xy) +x^{3} }[/tex]
We can find the slope by plugging in x = 108 and y = 6 to get
[tex]\frac{dy}{dx} = \frac{(108^{2}*6) - 648(108) }{2(6)(-324 + (108*6)) + 108^{3} }[/tex]
dy/dx = 0
To find the equation of the tangent line, we use the point-slope form:
y - y₁ = m(x - x₁),
where:
(x₁, y₁) is the given point (108, 6) and m is the slope.
Substituting the values, we have:
y - 6 = 0(x - 108)
y = 6
This is the equation of the tangent line at the point (108, 6) on the curve y² = x²/(xy - 324).
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The true airspeed T (in knots) of an airplane can be modeled by T=(1+A50,000) ⋅ S, where A is the altitude (in feet) and S is the indicated airspeed (in knots).
3. Write the equation for true airspeed T in terms of altitude and differential pressure p.
The equation for true airspeed T in terms of altitude and differential pressure p - T = k * (1 + A/50,000) * p
To write the equation for true airspeed T in terms of altitude A and differential pressure p, we need to consider the relationship between indicated airspeed S and differential pressure.The indicated airspeed S is typically measured using a pitot tube, which measures the dynamic pressure of the air flowing around the aircraft. The differential pressure p represents the difference between the dynamic pressure measured by the pitot tube and the static pressure of the surrounding air. In other words, p = dynamic pressure - static pressure.
The equation T = (1 + A/50,000) * S, we can express S in terms of the differential pressure p. Let's assume that S is directly proportional to p:
S = k * p
where k is a constant of proportionality. By substituting this expression for S into the equation for true airspeed, we have:
T = (1 + A/50,000) * (k * p)
Simplifying, we can write the equation for true airspeed T in terms of altitude A and differential pressure p as:
T = k * (1 + A/50,000) * p
where k is the constant of proportionality relating differential pressure to indicated airspeed.
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Find the equation of the line in slope-intercept form, parallel to a line joining the points (1,-2) and (-4,3) and passing through (-4,-5).
I
The equation of the line parallel to a line joining points (1,-2) and (-4,3) and passing through (-4,-5) is
(Simplify your answer. Type your answer in slope-intercept form.)
The equation of the line parallel to the line passing through (1, -2) and (-4, 3) and passing through the point (-4, -5) is y = -x - 9 in slope-intercept form.
To find the equation of a line parallel to a given line, we need to determine the slope of the given line and then use it to construct the equation of the parallel line.
First, let's calculate the slope of the given line passing through points (1, -2) and (-4, 3). The slope, denoted as m, can be found using the slope formula:
m = (y2 - y1) / (x2 - x1)
Substituting the coordinates, we have:
m = (3 - (-2)) / (-4 - 1) = 5 / (-5) = -1
Now that we have the slope, we can use it to construct the equation of the parallel line.
We'll use the point-slope form of a linear equation, which is:
y - y1 = m(x - x1)
where (x1, y1) represents the coordinates of a point on the line.
We'll use the point (-4, -5) on the parallel line:
y - (-5) = -1(x - (-4))
y + 5 = -1(x + 4)
Simplifying further:
y + 5 = -x - 4
y = -x - 9
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Determine the period.
NAV
8 10 12 14
3
2
1
-1
-2
-3
2
Answer:
7
Step-by-step explanation:
V looking shape has ends at 1 & 8
8 - 1 = 7
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Two cyclists, 54 miles apart, start riding toward each other at the same time. One cycles 2 times as fast as the other. If they meet 2 hours later, what is the speed (in mi/h) of the faster cyclist?
Answer:
In summary, the faster cyclist cycles at a speed of 18 mi/h since they travel 36 of the 54 miles in 2 hours while cycling twice as fast as the slower cyclist.
Explanationn:
The two cyclists are 54 miles apart and heading toward each other.
One cyclist cycles 2 times as fast as the other. We will call the faster cyclist A and the slower cyclist B.
They meet 2 hours after starting. This means they travel a total distance of 54 miles in 2 hours.
Since cyclist, A cycles 2 times as fast as cyclist B, cyclist A travels 2/3 of the total distance, and cyclist B travels 1/3 of the total distance.
In two hours, cyclist A travels (2/3) * 54 miles = 36 miles.
We need to find the speed of cyclist A in miles per hour.
Speed = Distance / Time
So the speed of cyclist A is:
36 miles / 2 hours = 18 miles per hour
Therefore, the speed of the faster cyclist is 18 mi/h.
Use radical notation to evaluate the expression. Simplify if p (-36) Enter your answer as an integer or reduced fraction (no decimals). Enter DNE if the number is not real. 2 I 1
The square root of the expression -36 is DNE
How to simplify the expression
From the question, we have the following parameters that can be used in our computation:
[tex](-36)^\frac 12[/tex]
By definition, the square root of negative numbers are complex numbers
using the above as a guide, we have the following:
[tex](-36)^\frac 12[/tex] is not a real number
Hence, the solution is DNE
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How many quarters are in 6?
25 quarter cups in 6 1/4 cups
answer: 61
How much money should be deposited today in an account that earns 4.5% compounded monthly so that it will accumulate to $15,000 in 4 years
Answer:
P ≈ $12,654.89
Step-by-step explanation:
To calculate the amount of money that should be deposited today, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = the future value of the investment ($15,000 in this case)
P = the principal amount (the amount to be deposited today)
r = the annual interest rate (4.5% or 0.045 as a decimal)
n = the number of times the interest is compounded per year (monthly compounding, so n = 12)
t = the number of years (4 years in this case)
Substituting the given values into the formula, we have:
$15,000 = P(1 + 0.045/12)^(12*4)
Simplifying the equation:
$15,000 = P(1.00375)^(48)
To solve for P, we divide both sides of the equation by (1.00375)^(48):
P = $15,000 / (1.00375)^(48)
Using a calculator, we find:
P ≈ $12,654.89
Therefore, approximately $12,654.89 should be deposited today in order to accumulate to $15,000 in 4 years with a 4.5% annual interest rate compounded monthly.
Find the slope and the y-intercept of the following linear equation. 5. 3x + 2y = 14
Answer:
slope = - [tex]\frac{3}{2}[/tex] , y- intercept = 7
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
3x + 2y = 14 ( subtract 3x from both sides )
2y = - 3x + 14 ( divide through by 2 )
y = - [tex]\frac{3}{2}[/tex] x + 7 ← in slope- intercept form
with slope m = - [tex]\frac{3}{2}[/tex] and y- intercept c = 7
what is the measure of the third angle of a triangle if the first angle measure is 22° and the second measure is 35°
Answer:
123°
Step-by-step explanation:
the sum of the 3 angles in a triangle = 180° , then
third angle + 22° + 35° = 180°
third angle + 57° = 180° ( subtract 57° from both sides )
third angle = 123°
Find the numbers with the following property three times the sum of four and a number is less than seven times the same number
Let's represent the number with the variable "x". According to the given property, we can write the following equation:
3(x + 4) < 7x
Now, let's solve this inequality to find the range of numbers that satisfy the property.
3x + 12 < 7x
Subtract 3x from both sides:
12 < 4x
Divide both sides by 4 (since the coefficient of x is 4):
3 < x
So, the range of numbers that satisfy the given property is x > 3.
Therefore, any number greater than 3 will satisfy the condition. For example, 4, 5, 6, 7, 8, etc.Step-by-step explanation:
Natalie is selling fruit at the Saturday market. She has a
otal of 48 pears that she wants to sell. She makes bags of
pears and sells them for $5 per bag. In which equation
oes b represent the number of bags of pears?
If Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.
To represent the number of bags of pears, b, that Natalie sells at the Saturday market, we can use the following equation:
b = total_number_of_pears / pears_per_bag
In this equation, "total_number_of_pears" represents the total quantity of pears Natalie has, and "pears_per_bag" represents the number of pears she puts in each bag.
Given that Natalie has a total of 48 pears, we can substitute the value into the equation:
b = 48 / pears_per_bag
Now, we need to determine the number of pears she puts in each bag. The information provided states that Natalie sells bags of pears, and each bag is sold for $5. However, the specific number of pears per bag is not given. To proceed, we need this information.
Let's assume that Natalie puts 4 pears in each bag. We can substitute this value into the equation:
b = 48 / 4
Simplifying the equation gives:
b = 12
So, if Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.
It's important to note that the specific value of "pears_per_bag" will affect the final result. If Natalie puts a different number of pears in each bag, the equation will yield a different number of bags sold.
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Please write me a two column
The length of AB = CD and CD = AB based on the proof that :
Length AB is equal to length CDAB and CD are parallelLooking at the segments CD and AB, both segments are of equal length, hence they would be equal
Similarly , both segments are parallel and have the same end points. Hence, they are equal.
Therefore, AB = CD
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Since the equations for both triangles have a2 + b2, you can think of the two equations for c2 and n2 as a system of equations. Substitute what a2 + b2 equals in the first equation for a2 + b2 in the second equation. After you substitute, what equation do you get?
The second equation results in n^2 = c^2.
Let's suppose we have two equations:
Equation 1: c^2 = a^2 + b^2
Equation 2: n^2 = a^2 + b^2
Both equations have the term a^2 + b^2. We can treat these equations as a system of equations and substitute the value of a^2 + b^2 from Equation 1 into Equation 2.
Substituting a^2 + b^2 from Equation 1 into Equation 2, we get:
n^2 = c^2
After substituting, we obtain the equation n^2 = c^2. This equation shows that the squares of the lengths of the sides n and c are equal.
It's important to note that this result holds true because both triangles have the same a and b values, leading to the same value of a^2 + b^2. Therefore, substituting that value into the second equation results in n^2 = c^2.
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f(x) = x^2−4x+2, find the value(s) for x such that f(x)=23.
Step-by-step explanation:
To find the value(s) for x such that f(x) = 23, we can set up the equation:
x^2 - 4x + 2 = 23
To solve this quadratic equation, we need to rearrange it into the standard quadratic form:
x^2 - 4x - 21 = 0
Now, we can solve this equation by factoring, completing the square, or using the quadratic formula. In this case, let's use the quadratic formula:
x = (-b ± √(b^2 - 4ac)) / (2a)
For the equation x^2 - 4x - 21 = 0, the coefficients are: a = 1, b = -4, and c = -21.
Plugging these values into the quadratic formula, we get:
x = (-(-4) ± √((-4)^2 - 4(1)(-21))) / (2(1))
x = (4 ± √(16 + 84)) / 2
x = (4 ± √100) / 2
x = (4 ± 10) / 2
Now, we have two solutions:
x = (4 + 10) / 2 = 14 / 2 = 7
x = (4 - 10) / 2 = -6 / 2 = -3
Therefore, the values for x such that f(x) = 23 are x = 7 and x = -3.
Select the correct answer.
Omar has a gift card for $40.00 at a gift shop. Omar wants to buy a hat for himself for $13.50. For his friends, he would like to buy souvenir bracelets, which are $3.25 each. All prices include taxes.
Which inequality can be used to solve for how many bracelets Omar can buy?
A.
3.25x + 13.50 ≤ 40
B.
3.25x + 13.50 ≥ 40
C.
13.50x + 3.25 ≤ 40
D.
13.50x + 3.25 ≥ 40
Answer:
A.
3.25x + 13.50 ≤ 40
Step-by-step explanation:
Please look at photo. I’ll give good rating!
An output value for (fog)(x) is 55/(x² + 2x).
Domain = (-∞, 1) U (-2, 0) U (0, ∞) or {x|x ≠ 0, -2}.
How to determine the corresponding composite function?In this exercise, we would determine the corresponding composite function of f(x) and g(x) under the given mathematical operations in simplified form as follows;
(fog)(x) = 5/(x + 2) × 11/x
(fog)(x) = 55/x(x + 2)
(fog)(x) = 55/(x² + 2x)
For the restrictions on the domain, we would have to equate the denominator of the rational function to zero and then evaluate as follows;
x² + 2x ≠ 0
x² ≠ -2x
x ≠ -2
Domain = (-∞, 1) U (-2, 0) U (0, ∞) or {x|x ≠ 0, -2}.
In conclusion, we can reasonably infer and logically deduce that x must not be equal to 0 and -2.
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If Anita and Miguel do not take any money from their accounts, whose account will grow faster? Explain why.
Savings accounts and CDs are good options for people who want to save money without taking on a lot of risk.
If Anita and Miguel do not take any money from their accounts, Anita's account will grow faster than Miguel's.
This is because the interest rate for Anita's account is 6%, while Miguel's is 5%.
The interest rate is the percentage of the principal that a bank or other financial institution pays for the use of money.
It can be thought of as a fee charged for borrowing money.
The higher the interest rate, the more money a person can earn on their investment.
Anita and Miguel's accounts are probably savings accounts or CDs, which are low-risk investments that pay a fixed interest rate.
Savings accounts and CDs are good options for people who want to save money without taking on a lot of risk.
Anita and Miguel's accounts are probably savings accounts or CDs, which are low-risk investments that pay a fixed interest rate.
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what is the volume of the cylinder below height 15 radius 11
Answer:
πr^2 h
π(11)^2 (15)
= 1815π or = 5701
For this part of the In-depth Analysis of a Statistical Study I am asking you to write a 250 word paragraph explaining whether the study is observational or experimental in nature, discuss whether the statistical hypothesis involves a cause/effect relationship between the explanatory and response variables and to identify potential confounding variables. In the case of a cause/effect relationship, give an explanation of how the confounding variables in the study were controlled. This could be through an experiment or by addressing the three criteria outlined in section 3.4.2.
The study described is an experimental study in nature. It follows a randomized double-blind placebo-controlled trial design, where participants were randomly assigned to either a verum (onabotulinumtoxinA) or placebo (saline) group.
What is it an about?The researchers administered the treatment (botulinum toxin injection to the glabellar region) to the verum group while the placebo group received a saline injection. The primary end point was the change in depressive symptoms measured using the Hamilton Depression Rating Scale.
The statistical hypothesis in this study does involve a cause/effect relationship between the explanatory variable (botulinum toxin injection) and the response variable (alleviation of depression symptoms).
Potential confounding variables in this study could include factors such as participants' previous medication history, severity of depression, and other ongoing treatments or therapies for depression.
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Please show the graph with correct points in x and y. Please specify if it’s a hollow dot or solid dot for each point. I’ll give good rating! Thank you!
The solution to the piecewise-defined function is shown in the attached graph.
Understanding Piecewise FunctionThe function g(x) is defined as follows:
g(x) = -4 if x ≠ 0
g(x) = 5 if x = 0
On the graph, when x is any value other than 0, the function takes the value of -4. This means that there will be a horizontal line at y = -4 for all x ≠ 0. The point (0, 5) will be represented by a solid dot since it's the only point where g(x) equals 5.
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In 1995, wolves were introduced into Yellowstone Park.
The function `w\left(x\right)=14\cdot1.08^{x}` models the number of wolves, `w`, in the years since 1995, `x`.
According to the model, about how many years will it take for the population to reach `500` wolves?
According to the information we can infer that it will take approximately 31 years for the wolf population to reach 500.
How to calculate how many years will it take for the population to reach 500 wolves?The given function, w(x) = 14 * 1.08^x, models the number of wolves (w) in the years since 1995 (x).
To find the number of years it will take for the population to reach 500 wolves, we can set up the equation:
500 = 14 * [tex]1.08^{x}[/tex]Dividing both sides by 14, we get:
35.714 ≈ [tex]1.08^{x}[/tex]Taking the logarithm (base 1.08) of both sides to solve for x:
log₁.₀₈ (35.714) ≈ log₁.₀₈ ([tex]1.08^{x}[/tex])x ≈ log₁.₀₈ (35.714)Using a calculator, we find that x ≈ 31.
According to the above it will take approximately 31 years for the wolf population to reach 500 based on the given model.
Note: This question is incomplete. Here is the complete information:
Attached image
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Pleeaase help find slope. The answer is -.204 but I don't understand how. Will give BRAINLIEST and 100 points.
Answer:
m = -0.204
Step-by-step explanation:
Start by creating points (72, 133) and (24, 235.2+133)
You are relating the charge (as a whole number) to the total distance traveled at a respective percentage. At 72% you traveled 133 miles and at 24% you traveled a total of 368.2 miles.
Thus, you can use the slope formula [tex](y2-y1)/(x2-x1)[/tex]
Thus, (72-24)/(133-368.2) = -0.204 (approx.)
Hope this helps!
3) ABCD is a rectangle.
The line that contains BA is y=-x+3. Write the
equations of the lines that contain BC, AD, and CD
The equations of the other line are:
BC: y = 2x
AD: y = 2x + 2
CD = -¹/₂x + 5.5
How to find the equation of the Line?The formula for the equation of a line between two coordinates is expressed as:
(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)
Thus, for the lines we have:
BC has B(-2, 4) and C(-1, 6)
Thus:
BC: (y - 4)/(x - 2) = (6 - 4)/(-1 + 2)
BC: (y - 4)/(x - 2) =2
BC: y - 4 = 2x - 4
BC: y = 2x
AD has A(2,2) and D(3, 4)
Thus:
AD: (y - 2)/(x - 2) = (4 - 2)/(3 - 2)
AD: y - 2 = 2x - 4
AD: y = 2x + 2
CD has C(-1, 6) and D(3, 4)
CD: (y - 6)/(x + 1) = (4 - 6)/4
CD: y - 6 = -¹/₂(x + 1)
CD = -¹/₂x + 5.5
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