According to statistics, Land O' Lake's 2021 average annual household income was given at $84,146. Thus, the correct answer is Option B which indicates that the amount is approximately $84,000.
What is Average Annual Household Income?Average Annual Household Income is the average amount of money earned annually by a household, calculated by dividing the total household income by the number of households. It provides a measure of the economic well-being of a particular group or population.
Average Annual Household Income is useful because it provides a broad overview of the economic well-being of a population and can be used to compare the standard of living across different regions, demographic groups, and over time. It is an important indicator of the economy's health and the distribution of wealth.
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Equivalent ratio 72:64=9:_
Answer:
9:8
Step-by-step explanation:
We know that 72:64
If you multiply 9 by 8 you get 72, so you know that the answer will have to be simplified by 8.
64/8 = 8
Therefore your answer for this will be 9:8
Calculate the area of a rectangular room that is 72 feet wide and 39 feet long.
Answer: 2808 ft.
Step-by-step explanation:
72(39) = 2808
Answer:
Area for a rectangle is Length * Width or A=l*w
Length= 72ft
width= 39ft
72*39= 2808
The area of the rectangular room is 2808
Step-by-step explanation:
Hope this helps!! :))) Mark me brainliest! :))
Tanya drove 312 hours and used 13 tank of gas.
For how long could Tanya drive using 12 tank of gas?
Enter your answer as a mixed number in simplest form in the box.
hours please
Assuming you meant 3/12, 1/3 and 1/2. The answer would be 5[tex]\frac{1}{4\\}[/tex].
Answer:
[tex]288\frac{0}{13}[/tex]
Solution :We can use the proportional method in this question
This case is a direct proportion
What is Direct Proportion?Direct proportion is a type of proportionality relationship. For direct proportion, as one value increases, so does the other value and conversely, as one value decreases, so does the other value. The symbol ∝ represents a proportional relationship.
We put the variable as x that represents the hour
We put it into a fractional form
[tex]\frac{312}{13} = \frac{x}{12}[/tex]
Cross Multiplying
[tex]312X12 = 13x[/tex]
[tex]3744 = 13x[/tex]
[tex]\frac{3744}{13} = x[/tex]
[tex]288\frac{0}{13} = x[/tex]
7. In the first picture of two intersecting lines, what is the m ∠2? How do you know?
8. In the second picture of parallel lines cut by a transversal, which angle is supplementary to ∠8? How do you know?
9. The third picture shows parallel lines cut by a transversal. What is the m ∠2? How do you know?
10. Use the fourth picture of parallel lines cut by a transversal. What is the value of x?
7. m<2 = 138° based on the definition of vertical angles.
8. m<3 is supplementary to angle 8
9. The measure of angle 2 = 50°
10. The value of x = 20
What is a Supplementary Angle?A supplementary angle is a pair of angles whose sum is equal to 180 degrees. In other words, two angles are supplementary if they add up to a straight angle.
For example, if one angle measures 70 degrees, its supplement would be 180 - 70 = 110 degrees.
7. m<2 = 138° (reason: vertical angles are equal).
8. m<3 is supplementary to angle 8 because angle 3 and 5 are supplementary, and angle 5 is congruent to angle 8.
9. 5x + 55 = 2x + 100 (corresponding angles are equal)
Find x:
5x - 2x = -55 + 100
3x = 45
x = 15
m<2 = 180 - (5x + 55) (linear pair is equal to 180 degrees)
Plug in the value of x
m<2 = 180 - (5(15) + 55)
m<2 = 180 - 130
m<2 = 50°
10. 45 + 5x + 35 = 180 (supplementary angles)
5x + 80 = 180
5x = 180 - 80
5x = 100
x = 20
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The temperature fell from 0Degrees Fahrenheit to 6 and three-fifthsDegrees Fahrenheit below 0Degrees Fahrenheit in 2 and one-fifth hours. What was the temperature change per hour?
A. -3
B. -4 2/5
C. 3
D. 4 2/5
PLEASE HELP ME ASAP!! THATS ALL I NEED
Randy needs to buy school supplies. He needs a headset that costs $30.00. He also needs notebooks that cost $3.00 each.
Part 1
Complete the table to determine his total cost for a given number of notebooks.
Format your response using 2 decimal places and NO symbols. Example: 25.00
The total cost for a given number of notebooks is 30 + 3x
How to determine the total cost for a given number of notebooksFrom the question, we have the following parameters that can be used in our computation:
Headset = $30.00
Notebook = $3.00
The total cost for x number of notebooks can be calculated as follows:
$30.00 + (3.00 * x)
So, we have
Total Cost = 30 + 3x
The response in two decimal places is Total cost = 30.00 + x * 3.00
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Sunrise, a bed-and-breakfast hotel, charges a one-time deposit of $25 plus $95 per night. Another bed-and-breakfast hotel called Bright Eyes charges a flat rate of $110 per night. Amanda wants to book a hotel for 5 nights. Which hotel costs less to stay for 5 nights? How much less?
Answer:
Sunrise: 95x5+25 = 500
Bright Eyes: 110x5= 550
Sunrise Will be 50$ Cheaper
oops sorry did my math wrong
Answer: Sunrise Hotel is cheaper by $50
Step-by-step explanation:
First, you do $95 x 5 nights = $475, and then add $25 and get $500 per night (Sunrise).
Then multiply $110 and 5 nights and get $550 per night (Bright Eyes).
Lastly, subtract $550 and $500 and get $50.
Convert the following temperatures from Fahrenheit to Celsius or vice versa.
a)
C = 23.8°C
b)
F = 113°F
c)
F = -4°F
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
a) 75°F
b) 45°C
c) -20°C
Conversion formulas:
C = (F - 32) / 1.8
F = 1.8C + 32
Now,
75°F
C = (F - 32) / 1.8
C = (75 - 32) / 1.8
C = 23.8°C
45°C
F = 1.8C + 32
F = 1.8 x 45 + 32
F = 113°F
-20°C
F = 1.8C + 32
F = 1.8 x (-20) + 32
F = -4°F
Thus,
The temperature conversion is given above.
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Use formula to find the area of the figure
The area of the figure in this problem is given as follows:
A. 30 in².
How to obtain the area of the figure?The area of a triangle is given by half the multiplication of the base length by the height of the triangle.
Applying the Pythagorean Theorem, we can obtain the missing side length, as follows:
4² + x² = 6²
x² = 36 - 16
x² = 20
x = square root of 20
x = 4.47.
For a right triangle, one side is considered the height of the other, hence the sides are:
4 in.4.47 + 8 = 12.47 in.Hence the area of the triangle is then obtained as follows:
Area = 0.5 x 4 x 12.47
Area = 25 in².
Which is closest to 30 in².
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K
The perimeter of a rectangular sports court is 148 feet. After a game, a player's coach estimates that the athlete has run
a total of 353 feet, which is equivalent to four times the court's length plus seven times its width. What are the
dimensions of the sports court?
The length is
feet.
Answer: Let's call the length of the rectangular court "L" and the width "W". Then, the perimeter of the court is 2 * (L + W) = 148 feet, so 2 * L + 2 * W = 148 feet.
And, according to the coach's estimate, the athlete ran a total of 4 * L + 7 * W = 353 feet.
We can use these two equations to find the dimensions of the court. Solving the first equation for W:
W = (148 - 2 * L) / 2.
Substituting this expression for W into the second equation:
4 * L + 7 * (148 - 2 * L) / 2 = 353
Expanding and simplifying the right side of the equation:
4 * L + 74 - 7 * L = 353
-3 * L = -279
L = 93 feet.
Finally, using the expression for W from the first equation:
W = (148 - 2 * L) / 2 = (148 - 2 * 93) / 2 = 32 feet.
So the dimensions of the sports court are 93 feet by 32 feet.
Step-by-step explanation:
In a class full of men and women
2
9
of the class are women. What is the ratio of men to women in its simplest form?
To begin a bacteria study, a petri dish had
2700
bacteria cells. Each hour since, the number of cells has increased by
17%
.
Let
t
be the number of hours since the start of the study. Let
y
be the number of bacteria cells.
Write an exponential function showing the relationship between
y
and
t
The exponential equation is y = 2700 ( 1 + 0.17 )ⁿ , where n = t , the number of hours since the start of the study
What is exponential growth factor?The exponential growth or decay formula is given by
x ( t ) = x₀ × ( 1 + r )ⁿ
x ( t ) is the value at time t
x₀ is the initial value at time t = 0.
r is the growth rate when r>0 or decay rate when r<0, in percent
t is the time in discrete intervals and selected time units
Given data ,
Let the exponential equation be represented as y
Now , the number of bacteria cells = y
The number of hours since the start of the study = n = t
The initial number of bacteria = 2,700 cells
The percentage of increase in the cells = 17 %
So , The exponential growth formula is given by
x ( t ) = x₀ × ( 1 + r )ⁿ
Substituting the values in the equation , we get
y = 2700 ( 1 + 0.17 )ⁿ
On simplifying the equation , we get
y = 2700 ( 1.17 )ⁿ
where n = t , the number of hours since the start of the study
Hence , the equation is y = 2700 ( 1.17 )ⁿ
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Write an expression equivalent to 4x-2x+4-1.
Answer:
2x+3 i think
Identify the change in the parent function that will produce the related function shown as a dashed line.
f(x)= |x|
Answer:
f(x)= (X+5)^2
Step-by-step explanation:
pls, tell me if wrong have a good day/night<3
CAN SOMEONE HELP WITH THIS QUESTION?✨
The differentiation of the f(x) = g(x)/h(x), using the quotient rule, indicates that the value of f'(2) = 20/81
What is the quotient rule?The Quotient Rule for finding the derivative of a ratio of two functions, [tex]f(x) = \frac{g(x)}{h(x)}[/tex] that are differentiable is presented as follows;
[tex]f'(x) = \frac{h(x) \cdot g'(x) - g(x) \cdot h'(x)}{h(x)^2}[/tex]
The equation of the lines are found as follows;
The points on the line g(x) are; (1, 2), and (3, 6)
Therefore, we get;
Slope of the line = (6 - 2)/(3 - 1) = 2
Equation of the line is; y - 2 = 2·(x - 1) = 2·x - 2
y - 2 = 2·x - 2
y = 2·x - 2 + 2 = 2·x
The equation of the line is presented as follows;
g(x) = 2·x
Points on the graph of the function h(x) when x = 2 are; (2.5, 5), and (0, 2.5)
Slope of the graph of h(x) when x = 2 is; (2.5 - 5)/(0 - 2.5) = 1
The equation of the line is therefore; y - 5 = 1·(x - 2.5) = x - 2.5
y - 5 = x - 2.5
y = x - 2.5 + 5 = x + 2.5
h(x) = x + 2.5
f(x) = g(x)/h(x)
The value of f'(x) using the quotient rule, is therefore;
f'(x) = (h(x)·g'(x) - g(x)·h'(x))/(h(x))²
g'(x) = 2
h'(x) = 1
Therefore;
f'(x) = ((x + 2.5)×2 - 2·x × 1)/(x + 2.5)² = (2·x + 5 - 2·x)/((x + 2.5)²)
(2·x + 5 - 2·x)/((x + 2.5)²) = 5/(x + 2.5)²
f'(2) = 5/(2 + 2.5)² = 20/81
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NEED HELP ASAP!!
Given the graph of the function f(x) which graph shows the function g(x) if g(x) = f(x) + 2?
The graph of function g(x) is given by the following option:
First graph.
(right below the text).
What is a translation?A translation happens when either a figure or a function are moved horizontally or vertically.
The four translation rules for functions are given as follows:
Left a units: f(x + a).Right a units: f(x - a).Up a units: f(x) + a.Down a units: f(x) - a.The definition of function g(x) for this problem is given as follows:
g(x) = f(x) + 2.
Meaning that it underwent a translation of 2 units up, hence the first graph is correct, as the values of x remain constant, just the values of y are increased by two for each point on the graph.
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Given AABC with AB contained in the line 2x + 3y = 5. if AABC is dilated to get AA'BC_
which of the following lines could contain A'B'?
2z - 3y = 10
3z-2y = 10
2z+ 3y = 10
3z +2y=10
When triangle ABC is dilated to triangle A'BC then the line A'B' has the equation 2z+ 3y = 10.
What are parallel lines?Parallel lines are any two or more lines that all lie in the same plane and never cross one another. They are equally spaced apart and have the same incline. No matter how far we extend a parallel line, it will never meet another parallel line.
Given that the triangle ABC is dilated to get the triangle A'BC.
If the triangle is dilated then, AB is parallel to A'B'.
So, the slopes of the two line are equal.
The equation of the AB is 2x + 3y = 5.
Converting into the standard equation of line:
y = - 2/3 x + 5/3
The slope of the line is -2/3.
From the given options, the line that has slope -2/3 when converted to standard form is:
2z+ 3y = 10
Hence, when triangle ABC is dilated to triangle A'BC then the line A'B' has the equation 2z+ 3y = 10.
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How do you do this? Please tell me thank you a lot.
The answer is 506 not to sure since I haven't done this in a while
Answer:
506
Step-by-step explanation:
According to the order of operations(or PEMDAS), you would first evaluate the exponent in the problem: [tex]8^3[/tex]. [tex]8^3[/tex] is equivalent to [tex]8*8*8[/tex], which is just 512. Therefore, the equation would now be 512 - 9 * 2 ÷ 3
Next step would be to do out the multiplication and division left to right. First is 9 * 2 which is 18. Then that is divided by three to get 6. The equation would now be 512 - 6.
512 - 6 is just 506.
what the number 125% of 280
Answer:350
Step-by-step explanation: 280/4=70
280+70=350
Answer:
350
Step-by-step explanation:
The percentage is converted to decimal place and then multiplied by 280
[tex]280(\frac{125}{100} )=280(1.25)=350[/tex]
Hope this helps.
Plssss I need help with this math thing
The required volume of the given right rectangular prism is 2x³ - 4x² cubic units.
What is volume?Volume is defined as the mass of the object per unit density while for geometry it is calculated as profile area multiplied by the length at which that profile is extruded.
here,
From the figure,
Volume = length × width × height
= [2x - 4] × x × x
= [2x³ - 4x²]
Thus, the required volume of the given right rectangular prism is 2x³ - 4x² cubic units.
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A cuboid has the total surface area 1168 cm². If it's length and breadth are 16 cm and 14 cm respectively, what it's height?
A cuboid has 6 faces and the formula for its total surface area is:
2lw + 2lh + 2wh, where l is the length, w is the breadth, and h is the height.
Given the total surface area of 1168 cm² and the length and breadth being 16 cm and 14 cm, respectively:
2(16)(14) + 2(16)h + 2(14)h = 1168
Expanding the expression:
448 + 32h + 28h = 1168
Combining like terms:
60h = 720
Dividing both sides by 60:
h = 12 cm
So the height of the cuboid is 12 cm.
If a cubic polynomial has zeros of 3, -2, 0, write the polynomial in standard form.
The polynomial in standard form is x³ + 2x² - 3x² - 6x = 0.
What is a polynomial?Polynomial is an equation written as the sum of terms of the form kx^n.
where k and n are positive integers.
We have,
The cubic polynomial has zeros of 3, -2, and 0.
This means,
x = 3
x - 3 = 0 _____(1)
x = -2
x + 2 = 0 ______(2)
x = 0 ______(3)
Now,
The zeroes can be written as,
x (x - 3) (x + 2) = 0
x (x² + 2x - 3x - 6) = 0
x³ + 2x² - 3x² - 6x = 0
Thus,
x³ + 2x² - 3x² - 6x = 0 is the standard form of the polynomial equation.
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if 2x-17=13. then x=?
Answer:
x=15
Step-by-step explanation:
2x-17=13
2x=30
x=15
Hope this helped! :)
Answer:
15
Step-by-step explanation:
2x - 17 = 13
Add 17 to both sides:
2x = 30
Divide both sides by 2:
[x = 15]
Check each value and decide if it is a factor of 50 or not: 15, 2, 5, 3, 20, 50, 25, 10
Answer:
3 and 20 are NOT factors of 50.
15, 2, 5, 50, 25, and 10 are factors of 50.
Step-by-step explanation:
Hope it helps! =D
mr. hollens give away $800 per month. He has determind that this is 16% if his buget. About how much is his overall budget
Answer:
5000
Step-by-step explanation:
800/16% = 5000
The mean of the waiting times in an emergency room is 80.2 minutes with a standard deviation of 10.5 minutes for people who are admitted for additional treatment. The mean waiting time for patients who are discharged after receiving treatment is 120.6 minutes with a standard deviation of 18.3 minutes. Which times are more variable?
The variance for waiting times for patients who are discharged after receiving treatment is more, so waiting times for patients who are discharged after receiving treatment is more variable.
What is variance?In probability and statistics, variance is the actual value of the squared variation of a stochastic process from its mean value. Informally, variance calculates the degree to which a random group of numbers deviates from the mean value.
Another essential tool, the measurement of variance is equal to the square of the standard deviation.
Since the variance for waiting times for patients who are discharged after receiving treatment is more, so waiting times for patients who are discharged after receiving treatment is more variable.
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The water level is a number that indicates whether the level is above or below normal using positive or negative values. After a heavy storm, the water level of a river is −3.7 feet. This level is 1/2 times 2.5 feet more than the previous water level.
What was the previous water level?
A. -18.5
B. -9.9
C. -4.9
D. -4.3
Note: I think it is -4.9. If you have the actual right answer please leave it down below. Thanks.
Answer:
I also believe it is -4.9 but I may be mistaken
Step-by-step explanation:
Find Sn for the arithmetic series where a1= 3 , an= 36, n= 12
Find sn for the arithmetic series where a1= 3, d= 2, n= 100
The value of the sum of the series is are 234 and 10200
How to determine the sum of the seriesIn an arithmetic series, the sum of the first "n" terms (Sn) is given by the formula:
Sn = n/2 * (a1 + an)
Where "a1" is the first term and "an" is the nth term.
For the first series, we have
In this series, a1=3 , an=36 , n=12
Plugging these values into the formula, we get:
Sn = 12/2 * (3 + 36)
Sn = 234
For the second series, we have
In this series, a1=3 , d = 2 , n=100
So, we have
an = a + (n - 1)d = 3 + 99 * 2 = 201
Plugging these values into the formula, we get:
Sn = 100/2 * (3 + 201)
Sn = 10200
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An isosceles trapezoid ABCD has two parallel sides AB and CD and mzA = 65°. Select All the correct statements.
The sum of measures of angles B and A is 130 degrees.
The measure of angle D is 115 degrees.
The sum of measures of angles D and C is 180 degrees.
The sum of measures of angles D and B is 130 degrees.
The sum of measures of angles B and C is 180 degrees.
The statement "the sum of measures of angles B and A is 130 degrees" is correct. Therefore, option A, B and E are the correct answer.
What is an isosceles trapezoid?An isosceles trapezoid can be defined as a trapezoid in which non-parallel sides and base angles are of the same measure. In other words, if two opposite sides (bases) of the trapezoid are parallel, and the two non-parallel sides are of equal lengths, then it is an isosceles trapezoid.
Given that, an isosceles trapezoid ABCD has two parallel sides AB and CD and m∠A = 65°.
Correct statements are
The sum of measures of angles B and A is 130 degrees.
The measure of angle D is 115 degrees.
The sum of measures of angles B and C is 180 degrees.
Therefore, option A, B and E are the correct answer.
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A lumber yard has scrap wood for sale. One employee recorded the measurements for the lengths of 55 different wood boards. The median length was recorded as 58.37 inches and the IQR was recorded as 19.66 inches. Someone discovers the measuring tape used started at 2 inches instead of 0. This means that each piece of wood is actually 2 inches shorter than the value recorded by the employee. What is the updated median? Report your answer to two decimal places.
The updated median is 56.37 and the updated IQR is 17.66.
What is median of data?The median is the value in the middle of a data set, meaning that 50% of data points have a value smaller or equal to the median and 50% of data points have a value higher or equal to the median. For a small data set, you first count the number of data points (n) and arrange the data points in increasing order.
Given that, one employee recorded the measurements for the lengths of 55 different wood boards.
Median =58.37 and IQR=19.66
Someone discovers the measuring tape used started at 2 inches instead of 0.
The interquartile range is given by the difference between the 75th percentile(value that is greater than 75% of the measures) and the 25th percentile.
This means that each piece of wood is actually 2 inches shorter than the value recorded by the employee.
This means that the length of each wood is less than 5. However, the difference between the 75th percentile and the 25th percentile will stay the same, since both were subtracted by 2.
So, IQR=19.66-2 =17.66
Therefore, the updated median is 56.37 and the updated IQR is 17.66.
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