The Total Square Footage of the House is 780 sq. ft.
What is Area?
The quantity area indicates the extent of a region on a planar or curved surface. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina.
Solution:
Area of Living Room = 20*15 = 300 sq. ft.
Area of Kitchen = 12*10 = 120 sq. ft.
Area of Bedroom 1 = 12*12 = 144 sq. ft.
Area of Bedroom 2 = 12*10 = 120 sq. ft.
Area of Bathroom = 8*12 = 96 sq. ft.
Total Area is 300 + 120 + 144 + 120 + 96 = 780 sq. ft.
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If f(x) = x² - 1, and g(x) = x + 2, then g(f(x)) = [?]x² +
please explain
Answer:
g(f(x)) = x² + 1.
Step-by-step explanation:
To evaluate g(f(x)), we need to first evaluate f(x) and then plug the result into g(x). Since f(x) = x² - 1, we have g(f(x)) = g(x² - 1). Plugging this into g(x), we get g(x² - 1) = (x² - 1) + 2. So the final result is g(f(x)) = x² + 1.
Here's a step-by-step breakdown:
g(f(x)) = g(x² - 1) [substitute f(x) = x² - 1]g(f(x)) = (x² - 1) + 2 [substitute g(x) = x + 2]g(f(x)) = x² + 1 [simplify]Note that this is only the case if f(x) and g(x) are defined for all values of x. If either function is only defined for certain values of x, then the result of g(f(x)) will depend on the specific input value used.
suppose the time it takes a nine-year old to eat a donut is uniformly distributed between 0.5 and 4 minutes, inclusive. what is the probability that a nine year old will take longer than 3 minutes to eat a donut? ( round to three decimal places)
The probability that a nine year old will take longer than 3 minutes to eat a donut is 0.667 .
Given that the time taken by 09 years old,
Consider that it takes 0.5 to 4 minutes inclusive for a 9-year-old to eat a donut.
Let X = Time
minutes, how long it takes a 9 year old to eat a donut.
Then X: U(0.5, 4).
The Probability Distribution Function:
P(X) = 1/4 - 0.5 = 0.2857
Cumulative Function would be:
F(x) = x -0.5 /0.5
The probability that a randomly selected 9-year-old child will eat a donut in at least 2 minutes is
P(X ≥ 2) = 1 -F(2)
⇒ 1 - 2 -0.5/3.5
⇒ 0.8571
b) The probability that another her 9-year-old child will eat a donut in 2 minutes or more if she has eaten a donut in 3.0 minutes or more.
P(x >2 /x> 3.0)
= 0.571429/ 0.857143
= 0.6667
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can somebody help me plsss
Answer:19/20
Step-by-step explanation:
Which of the following problems would NOT have a solution?
- Six pizzas are shared equally among three people, and you want to know how much each person gets.
- Three pizzas are shared equally among two people, and you want to know how much each person gets.
- Zero pizzas are shared equally among three people, and you want to know how much each person gets.
- Two pizzas are shared equally among zero people, and you want to know how much each person gets.
By using the concept of division, it can be calculated that
The statement given in the fourth option
Two pizzas are shared equally among zero people do not have a solution
What is division?
Division is the process by which value of single unit can be calculated from the value of multiple unit.
The number to be divided is known as dividend, the number by which the dividend is divided is the divisor, the result obtained is the quotient and the remaining part is the remainder.
There is a well known formula for division
Divisor x Quotient + Remainder = Dividend.
This is a word problem on division.
For the first option
Number of pizzas = 6
Number of person = 3
Number of pizzas each person get = 6 [tex]\div[/tex] 3 = 2
This problem has a solution.
For the second option
Number of pizzas = 3
Number of person = 2
Number of pizzas each person get = 3 [tex]\div[/tex] 2 = 1.5
This problem has a solution.
For the third option
Number of pizzas = 0
Number of person = 3
Number of pizzas each person get = 0 [tex]\div[/tex] 3 = 0
This problem has a solution.
For the fourth option
Number of pizzas = 2
Number of person = 0
Number of pizzas each person get = 2 [tex]\div[/tex] 0
Now anything divided by zero is not possible
This problem do not have a solution.
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7. If m= 100 what is the value of q?
q = 21.344 m
Answer:
2134.4
Step-by-step explanation:
You are multiplying 21.344 by 100, which means all you have to do is move the decimal point towards the left 2 to get your answer
Answer: 2134.4
Step-by-step explanation:
The reason it is this is that when 100 times 21.344 you have to take the two zeros and push the two next numbers after the decimal and put them in front of the decimal.
In ΔFGH, m∠F = 54°, m∠G = °, and m∠H = °.
The complete statement is:
In ΔFGH, the measure of m∠F=54°, the measure of m∠G=90°, and m∠H = 36°
How to complete the missing blank?From the question, we have the following parameters that can be used in our computation:
Triangle = ΔFGH, The measure of m∠F = 54°The measure of m∠G = 90°The sum of angles in a triangle is 180°
So, we have the following representation
m∠F + m∠G + m∠H = 180°
Substitute the known values in the above equation, so, we have the following representation
54 + 90 + m∠H = 180°
Evaluate the sum in the above equation
This gives
144 + m∠H = 180°
Collect the like terms
m∠H = 180 - 144°
So, we have
m∠H = 36°
Hence, the value that completes the blank is 36°
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Complete question
Fill in the gap
In ΔFGH, the measure of m∠F=54°, the measure of m∠G=90°, and m∠H = °
I need help simplifying this problem
Answer: Use math x way it is very helpful for problems like these. The answer is attached.
Step-by-step explanation:
if a two sided test of hypothesis is conducted at a 0.05 level of significance and the test statistic resulting from the analysis was 1.23. the potential type of statistical error is :
Potential type of statistical error would be Type I statistical error.
What is statistical error?
The term "error" (also known as "statistical error") refers to the discrepancy between a value obtained through a data gathering procedure and the population's "actual" value. The data are less representative of the population the higher the inaccuracy. Both sampling error and non-sampling error can have an impact on data.
Given that:
two sided test of hypothesis is giving 0.05 level of significance.
and statistic resulting from the analysis was 1.23.
According to statistic result,
the results are not statistically significant because the p-value > 0.05.
So, Here we can say that it follows the Type I statistical error.
Hence, potential type of statistical error would be Type I statistical error.
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solve x for -0.2x - 1.4 = 2x + 16.2
Answer:
x = -8
Step-by-step explanation:
Step 1: Combine multiplied terms into a single fraction.
(-x / 5) - 1.4 = 2x + 16.2
Step 2: Find a common denominator.
(-x / 5) + [5(-1.4) / 5] = 2x + 16.2
Step 3: yeah this is boring idc about the explanation
A horse is tied with a 10 -foot-long rope to a pole on a grassy field. Is the circumference of the circle or the area of the circle more useful for determining how much grass the horse has access to?
The area of the circle is more usefull than circumfrence of the circle.
Given that,
A horse is tied with a 10 -foot-long rope to a pole on a grassy field. Is the circumference of the circle or the area of the circle more useful for determining how much grass the horse has access to is to be discuss.
Area of circle is given by the pie times square of radius.
Area of circle = πr^2
here,
The circumference of the circle gives the information of the periferal boundry,
while the area of the circle gives the information about the region of grass the horse can access
Thus, the area of the circle is more usefull than circumfrence of the circle.
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the amount of sodium (in milligrams) in one serving for a random sample of three different kinds of foods is listed here. condiments cereals desserts 270 260 100 130 220 180 230 290 250 180 290 250 80 200 300 70 320 360 200 140 300 160 at the 0.05 significance level, is there sufficient evidence to conclude that a difference in mean sodium amounts exists among condiments, cereals and desserts?
What is the median of 23 and 23?
The precise middle value of a dataset when it is ordered is called the median. Separating the lowest 50% of data from the top 50% of values is a measure of central tendency. the median of 23 and 23 is 23
The median is the middle number when the numbers are arranged in order from least to greatest. Since 23 and 23 are the same number, the median is 23.The median is an important measure of central tendency. It is the middle value of a data set when the numbers are arranged in order from least to greatest. In this case, since there are only two numbers and they are the same, the median is simply the number itself, 23.
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What are 2 linear functions?
Which of the following is not a key feature of the function h(x)?
A) The domain of h(x) is [0, ထ)
B) The range of h(x) is (-ထ, ထ)
C) The y-intercept of h(x) is (0, -5)
D) The end behavior of h(x) is as x -> ထ, h(x) -> -ထ
The options that is not a key feature of the piecewise function h(x), defined as x² - 5 for 0 ≤ x ≤ 3, and -log₃x for x > 3 is the option;
The range of h(x) is (-∞, ∞)What is a piecewise function?A piecewise function is a function that maps the input variable with a different definition, depending on the interval of the input variable.
The piecewise function is presented as follows;
h(x) = x² - 5 for 0 ≤ x ≤ 3
h(x) = log₃x for x > 3
The domain of the function, f(x) which is the set of the x-values of the function is therefore; 0 ≤ x ≤ 3, and x > 3
Therefore; The domain of the function is 0 ≤ x < ∞, which in interval notation is; [0, ∞)
The range of the function x² - 5 is -5 ≤ x ≤ 4
The range of the function -log₃x, where x > 3 is -∞ < h(x) < -1
The range in interval notation is therefore; (-∞, 4]
Therefore, the range of h(x) is not (-∞, ∞)
The y-intercept is the point the graph intersects the y-axis, and where x is zero, which indicates;
The y-intercept is the point h(0) = 0³ - 5 = -5
Therefore, the y-intercept is the point (0, -5)
The end behavior of the function, h(x) is as x → ∞, -log₃x → -∞
Therefore, the option that is not a key feature of the function f(x) is the option; The range of h(x) is (-∞, ∞)
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Which is a way to describe the fraction of 2/3
Translate vertex W to vertex M then reflect across the line containing
Translate vertex W to vertex M. Next, reflect WXY across the line containing line segment WX.
Translate vertex W to vertex M. Next, reflect WXY across the line containing line segment WX is MXY
The intersection of two lines, two line segments, or any suitable combination of rays, segments, and lines that results in two straight "sides" coming together at one point is known as an angle's vertex. 1. Translate vertex W to vertex M: Move point W to the right by 4 units, creating point M.
2. Reflect WXY across the line containing WX: Create a line perpendicular to WX, and reflect WXY across it. The resulting figure is MXY.
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During August, the average cost of gasoline was $3.22 per gallon. During September, the average cost of gasoline was $3.67 per gallon. Suppose the cost of gasoline is expected to rise by the same percentage with each passing month. Select the response that is true.
A triangle has vertices (2, 3), (5, 9), and (3, 11) is reflected across the y-axis. What are the new vertices of the reflected triangle? (-2, 3), (-5, 9), and (-3, 11) (-2, -3), (-5, -9), and (-3, -11) (2, -3), (5, -9), and (3, -11)
Answer:( -2,3),( -5,9), (-3,11)
Step-by-step explanation:
Write an equation of the circle with center (5,9) and radius 4
(x-5)^2 + (y-9)^2 = 16
im pretty sure thats the answer as you only need the equation
what is angle 1 2 and 3
The Measure for the Following
m< 1= 72 degree.
m< 2= 72 degree.
m< 3= 58 degree.
What is Vertical Opposite Angle?Horizontal Angles (Vertically Opposite Angles) The opposing angles created by the junction of two lines are known as vertical angles or vertically opposite angles. A pair of angles that are vertically opposed to one another are always equal.
Given:
In Δ MQP and Δ OQN
<3 = 58 (Alternate Interior Angle)
Now, In Δ OQN Using Angle Sum Property
<2+ <3 + 50= 180
<2 + 58+ 50 = 180
<2 = 180 - 108
<2 = 72
and, <1 = <2 = 72 (Vertical Opposite Angle)
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on february 13, a jewelry store sells an engagement ring with a sales price of $10,000 to a nervous young man, who pays in cash. the sale is subject to a 9.75 percent sales tax.
The total cost of the engagement ring is $10,975. The sales tax is calculated as follows: $10,000 x 0.0975 = $975.
Why does sales tax matter?A sales tax is a type of consumption tax that local or state governments apply on the sale of products or services that consumers pay for when they make a purchase. When a company has a link to the jurisdiction in some way, it is responsible for collecting sales tax and remitting payment to the government.
How is sales tax collected?It is only imposed and paid when the taxable supply is produced while engaging in a "taxable activity". Taxes should be based on the value of the goods or service. Because of the way the sales tax is structured, consumers are required to bear the majority of the tax burden. Because sales tax is an indirect tax, this is true.
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Given f(x)=−3x−1, find f(−6
The Value of f(-6) is -19
What is Function?
A function is an expression, rule, or law in mathematics that describes a connection between one variable (the independent variable) and another variable (the dependent variable).
Solution:
Function: f(x) = 3x - 1
To Find the value of f(-6)
We need to replace x with -6
f(-6) = 3*(-6) - 1
f(-6) = -18 - 1
f(-6) = -19
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Would you use SSS or SAS to prove the triangles congruent? If there is not enough information to prove the triangles congruent by SSS or SAS, write "not enough information." Explain your answer.
A. Triangle AEB is congrent to Triangle CDB by Side - Angle Side.
B. Triangle AEB is congrent to Traingle CDB by Side- Side - Side.
C. The two triangles are not necessarily congruent. There is not enough information.
The triangles ΔAEB and ΔCDB are congruent as per SSS criteria. The correct option is (B).
What are the criteria for congruent triangles?Two triangles are said to be congruent when all of their corresponding sides and angles are equal. For this relation between two triangles, there are many criteria such as SSS, SAS, ASA and RHS.
The relation between the two triangles ΔAEB and ΔCDB as per the given information can be shown as follows,
In ΔAEB and ΔCDB,
AE = CB
AB = CD
EB = BD
Since all the three corresponding sides of the triangles are equal, the triangles ΔAEB ≅ ΔCDB by SSS criteria.
Hence, the two triangles are congruent by SSS criteria.
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100 POINTS WILL GIVE BRAINLIEST Understanding business cycles is important because it helps us make informed decisions. Which of the following would most likely be done in a business during a boom?
A. hire employees
B. cut jobs
C. save cash
Answer:
The correct answer is A. hire employees.
During a boom, or an economic expansion, businesses typically experience increased demand for their products and services. This often leads to higher profits and sales, and as a result, many businesses will choose to hire additional employees to help meet the increased demand. Hiring employees allows businesses to increase their production and sales, and it can also help them to capitalize on opportunities for growth and expansion.
The other answer choices, cutting jobs (B) and saving cash (C), are not typically associated with a boom. Cutting jobs would be more likely to occur during a recession or a downturn in the economy, when businesses are trying to reduce costs and improve their bottom line. Saving cash, on the other hand, is something that businesses might do during any economic conditions, as it can help them to build up a financial cushion and prepare for unexpected events. However, during a boom, businesses are more likely to focus on expanding their operations and taking advantage of the increased demand for their products and services.
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
It seems like the most logical answer, as boom usually means it's doing well. When a business is doing well I doubt they would want to cut jobs or have to be worried about saving their extra cash.
Barry has a medical plan with a $1,000 deductible, 20% coinsurance, and a $5,000 coinsurance cap. His allowable medical expenses during the past year are $18,000. How much of this amount will he have to pay out of pocket?.
Based on his deductible and coinsurance cap, the amount that Barry will pay is $4,560.
Barry will pay x amount.
Barry will be responsible for covering the entire $1,200 deductible. The remaining costs will subsequently be split between him and the insurer in a ratio of 20% to 80%, although he will not be required to pay more than $5,000.
He will consequently pay the following total out of pocket:
= Deductible + ( 20% x (Medical expenses - deductible)
Solving gives:
= 1,200 + ( 20% x (18,000 - 1,200))
= $4,560
He will pay $4,560 in total.
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Question 13 (1 point)
(01.05 MC)
Which number line represents all of the values of x for the equation x² = 25? (1 point)
Answer: x= 5 and 5=x.
Step-by-step explanation: no comment.
I hope i'm right.
good luck.
How do you solve maximum problems?
A minimax problem minimizes the maximum value of a number of decision variables and the maximin problem maximizes the minimum value
We know that a minimax problem minimizes the maximum value of a number of decision variables. It is sometimes applied to minimize the possible loss for a worst case (maximum loss) scenario. On the other hand a maximin problem maximizes the minimum value. Generally it is used to maximize the minimum objective (such as profit or revenue) for all potential scenario.
To solve the optimization problem for maximum :
First we find the derivative of the function.
Set the derivative equal to 0 and solve for x. This gives the x-values of the maximum and minimum points.
Now substitute those values of x back into the function to find the corresponding values of y. This will give the maximum and minimum points of the function.
Therefore, the maximin problem maximizes the minimum value of a number of decision variables.
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Help meeeeeeeeeeeeee
Answer:
143.30
you can give me more
PLEASE HELP AND SHOW WORK!
The price of a home (in thousands of dollars) is associated with the number of square feet in a home. Home prices in Smavile can be modeled using the equation p = 150 + 0.041a where p is the price of the home in thousands of dollars and a is the area of the house in square feet Home prices in Fancyville can be modeled using the equation p = 250 + 0.198a Ngoc saw a real estate advertisement for a 2800 square foot home that was selling for $280,000. Which city should she predict that the home is in?
The city that she should predict that the home is in is given as follows:
Smavile.
How to predict the city that the home is in?
We are given the linear regression equations for each town, which predicts the value of a home with a square feet.
Then the prediction of the city is given by the one whose prediction for a input of 2800 square feet gives the least residual relative to 280, that is, the value that has the least absolute difference relative to 280.
For Smaville, the equation is given as follows:
p = 150 + 0.041a.
Hence the estimate of the cost for a estate with 2800 square feet is of:
p = 150 + 0.041(2800) = 264.8.
For Fancyville, the equation is given as follows:
p = 250 + 0.198a
Hence the estimate of the cost for a estate with 2800 square feet is of:
p = 250 + 0.198(2800) = 804.4.
Smavile has the least residual, hence is the prediction.
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researchers randomly assigned a sample of clinically depressed patients to receive a new antidepressant medication or a sugar pill. what type of research study is being used?
The experiment type of research study is being used.
What is an experiment ?
A method used in a controlled environment to find an unknown effect or law, test or establish a hypothesis, or provide an example of an established law
In the scenario described, individuals are chosen at random to participate in a new intervention, which appears to be an example of an experiment.
As opposed to option A, where the participants are being observed in their natural context, this is not a naturalistic observation example.
The lack of a relationship means that it is neither a correlation research, as in option C, nor a survey, as in option D.
Option B is the appropriate response, thus.
So, the experiment type of research study is being used.
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