Step 1) Divide up the figure
In this figure, there is a triangle, a small rectangle, and two larger rectangles. The triangle is 6 in x 9 in, the small rectangle is 3 in x 18 in, one of the large rectangles (center) is 8 in x 14 in, and the other large rectangle (bottom) is 5 in x 9 in.
Step 2) Find the area of each shape in the figure
Triangle: A = 1/2 x 6 x 9 = 27
Small rectangle: A = 3 x 18 = 54
Large rectangle (center): A = 8 x 14 = 112
Large rectangle (bottom): A = 5 x 9 = 45
Step 3) Add the area of each shape together
A = 27 + 54 + 112 + 45 = 238 square inches
Hope this helps! :)
Answer:
247 square inches
Step-by-step explanation:
Divided the diagram into a triangle and three rectangles.
The triangle is 6 in * 6 in = 36 square inches
1st rectangle is 4 in * 3 in = 12 square inches
2nd rectangle is 11 in * 14 in = 154 square inches
3rd rectangle is 9 in * 5 in = 45 square inches
Therefore, 36+12+154+45 = 247 square inches
You are in an elevator on the seventh floor.
You go down 4 floors, and then up 8 floors.
Then you go down 3 floors and up 9 floors.
The elevator goes down again, and you get
off. According to the pattern, on which
floor are you now?
Answer:
16
Step-by-step explanation:
(7-4)= (3+8) =(11-3) = (8+9) = (17-1) = 16
Can someone please help me?
Answer:
the 1st option is false; there is no 'addition' sign
Step-by-step explanation:
Please help and show work only do the left side
Writing linear equations given two points can be a useful skill when graphing linear equations.
Write a linear equation that passes through the given two points?To write a linear equation given two points, you need to first find the slope of the line. You can do this by finding the change in the y-value and dividing it by the change in the x-value. From there, you can use the slope to solve for the y-intercept and write the equation.For example, if the two points are (3, 4) and (0,5), you would find the slope by calculating the change in the y-value (5-4 = 1) and dividing it by the change in the x-value (0-3 = -3).The slope would then be 1/-3, which can be simplified to -1/3. To solve for the y-intercept, you can plug in one of the points and solve for b. In this case, you would plug in (3, 4) and solve for b, giving you b = 5. Now that you have the slope and y-intercept, you can write the equation as y = -1/3x + 5.y = -1/2xy = 5/3x + 5/3y = 3/5x + 1y = -1/2x - 2y = 6/5x + 5y = -4/4x - 8y = -3/5x - 7/5y = -2x - 4y = 5/6x + 7y = -1/2x + 4To learn more about linear equation refer to:
https://brainly.com/question/2030026
#SPJ1
when the relationship between the independent variable and dependent variable changes depending on the level of another variable, that other variable is called a
When conducting studies to examine cause-and-effect relationships, researchers frequently modify or measure independent and dependent variables.
what is independent variable ?It is a variable that is independent of the other factors you are attempting to assess. Other elements (such as what they consume, how much they attend school, and how much television they watch) won't alter a person's age.
given
Its worth is unrelated to other study variables. The effect serves as the dependent variable. The independent variable's modifications determine its value.
When conducting studies to examine cause-and-effect relationships, researchers frequently modify or measure independent and dependent variables.
To know more about independent variable visit :-
https://brainly.com/question/29430246
#SPJ4
what is the Common factor of 20 and 12
Answer:
The common factors of 12 and 20 are 1, 2 and 4.
how to find concave up and down with second derivative
The concavity of a function can change at inflection points, where the concavity transitions from concave up to concave down or vice versa. Inflection points occur when the second derivative is equal to zero or undefined.
To determine whether a function is concave up or concave down using the second derivative, you can follow these steps:
Find the second derivative of the function. This involves taking the derivative of the first derivative of the function. The second derivative is often denoted as f''(x) or d²y/dx².
Identify the critical points of the function. These are the points where the first derivative is equal to zero or undefined. You can find the critical points by setting the first derivative equal to zero and solving for x.
Evaluate the second derivative at the critical points. Plug the critical points into the second derivative equation and calculate the resulting values.
Analyze the sign of the second derivative at the critical points. If the second derivative is positive at a critical point, the function is concave up at that point. If the second derivative is negative at a critical point, the function is concave down at that point.
By examining the signs of the second derivative at the critical points, you can determine the concavity of the function in the corresponding intervals.
Remember that this method applies specifically to functions whose second derivative is continuous. In cases where the second derivative is discontinuous or undefined, additional analysis may be needed.
To know more about function:
https://brainly.com/question/29073659
#SPJ4
A computer store buys a computer system at a cost of $370.80. The selling price was first at $618, but then the store advertised a 20% markdown on the system.
Answer:
296.64
Step-by-step explanation:
How many possible passwords are there that use at least one uppercase letter and at least one lowercase letter
To calculate the number of possible passwords that use at least one uppercase letter and at least one lowercase letter, considering only letters and no other characters, we can use the formula: 26ⁿ - 2*26ⁿ, where n represents the length of the password.
What is the formula to find the number of possible passwords that use at least one uppercase letter and at least one lowercase letter?Assuming we are only considering passwords that consist of letters (uppercase or lowercase) and no other characters or symbols, we can use the following approach to find the number of possible passwords that use at least one uppercase letter and at least one lowercase letter:
Calculate the total number of possible passwords without any restrictions on uppercase or lowercase letters. This can be done by raising the number of letters in the alphabet (26) to the length of the password. For example, the total number of possible 4-letter passwords would be 26⁴ = 456976.Number of passwords that use both uppercase and lowercase letters
= Total number of possible passwords - Number of passwords that only use lowercase letters - Number of passwords that only use uppercase letters
Number of passwords that use both uppercase and lowercase letters = 26ⁿ - 26ⁿ - 26ⁿ = 26ⁿ - 2*26ⁿ, where n is the length of the password.
Therefore, the number of possible passwords that use at least one uppercase letter and at least one lowercase letter is 26ⁿ - 2*26ⁿ, where n is the length of the password.
Learn more about uppercase letter
brainly.com/question/18512650
#SPJ11
y=3x-7
complete the missing value in the solution to the equation
(1,?)
How many tiles will it take to cover a 4ft wide and 8ft long
Maximize the utility function U(x,y)= √xy subject to the budget constraint 10x+9y≤35 and find the maximizing value of x. Round your answer to the nearest one decimal place (e.g. 13.14 rounds to 13.1 , and 13.15 rounds to 13.2 ).
The maximizing value of x is approximately 2.
What is the maximum value of x that maximizes the utility function \(U(x, y) = \sqrt{x} y,\) given the budget constraint 10x + 9y ≤ 35?
The maximum value of x, rounded to one decimal place, that maximizes the utility function is approximately 2.0. This value is obtained by solving the optimization problem using Lagrange multipliers and considering the budget constraint.
To maximize the utility function subject to the budget constraint 10x + 9y ≤ 35, we can use the method of Lagrange multipliers. We want to maximize the function U(x, y) subject to the constraint 10x + 9y ≤ 35.
The Lagrange function is defined as \(U(x, y,\lambda) = \sqrt{x} y+\lambda(35-10x-9y),\), where λ is the Lagrange multiplier.
To find the maximum, we need to find the values of x, y, and λ that satisfy the following equations:
\(1.\frac{\delta L}{\delta x }= 0\\\\2.\frac{\delta L}{\delta y}= 0\\\)
3.Constraint equation: 10x + 9y = 35
Taking partial derivatives and setting them equal to zero:
\(1.\frac{\delta L}{\delta x }= \frac{1}{2}\sqrt{y}+ \lambda(-10) = 0\\\\2.\frac{\delta L}{\delta y }= \frac{1}{2}\sqrt{x} +\lambda(-9) = 0\)
Solving these equations, we get:
\(\sqrt{y }= 5\lambda\\\\\sqrt{x} = 4.5\lambda\)
Squaring both equations:
\(y = 25\lambda^2\\\\x = 20.25\lambda^2\)
Substituting these values into the constraint equation:
\(10x + 9y = 10(20.25\lambda^2) + 9(25\lambda^2)\\ = 350\lambda^2\)
Setting this equal to 35:
\(350\lambda^2 = 35\)
Simplifying, we find:
\(\lambda^2 = 0.1\)
Taking the square root of both sides:
\(\lambda = \pm\sqrt{0.1}\)
Since λ must be positive, we take \(\lambda= \sqrt{0.1 }= 0.3162.\)
Substituting this value into\(x = 20.25{\lambda}^2\), we get:
\(x = 20.25(0.3162)^2= 2.03\)
Therefore, rounding to one decimal place, the maximizing value of x is approximately 2.
To learn more about the maximum value of the utility function from the given link
brainly.com/question/29811283
#SPJ4
Which are irrational and which are rational ?
Answer: 8/9 is rational
.2593 irrational
square root of 7: irrational
square root of .25 is rational
square root of 14: irrational
0 is a: rational
square root of 280: irrational
square root of 35: is irrational
.2222: is rational
square root of 3r is a rational number......
Step-by-step explanation:
CAN SOMEONE HELP ME PLEASE ASAP!?
Step-by-step explanation:
when scaling a model or a map or ... there is airways the same scaling factor applied for every dimension of the object.
in other words, length and width of the plane must be multiplied by the same factor.
the length is first scaled by going from feet to inches. and then scaled by the factor 1/2, as 27/2 = 13.5.
we need to do the same for the width. feet to inches and then half : 18/2 = 9 in
what is everything i need to know about bearings?? i suck at them
Answer:
Step-by-step explanation:
bearing is the angle which a line makes with the north.
Valeria practices the piano 910 minutes in 5 weeks. Assuming she practices the same amount every week, how many minutes would she practice in 4 weeks?
Answer:
728
Step-by-step explanation:
910/5 = 182 per week
4 weeks = 4*182 =728
someone, please help i don't understand this
Answer
62
5.3
65
5.8
2.5
Step-by-step explanation:
FOr the first one we have the opposite and adjacent side, so we'll use TOA
let x= angle
tan(x)=4.7/2.5
x=61.99 or 62
2.) for this one we can just use pathagoryeous thereom
2.5²+4.7²=c²
28.34=c²
c=5.323
3.) For this one we know that the angles in a traingle must add to 180
let x= missing angle
25+90+x=180
x=65
4.) For this one we have the adjacent side but need the hypotonouse
we will therefore use CAH
cos(25)=5.3/x
5.3/(cos(25))=x
x=5.8
5.) For this one we will just use the pathagoryeous to solve for the missing side
a²+5.3²=5.8²
a²=6.107
a=2.5
Adam has $87.14. He has 10 bills and 19 coins how ? Explain how you solved it .
Answer: $42
Step-by-step explanation:
The length of ribbons found at a seamstress are listed.
2, 5, 8, 10, 11, 12
What is the appropriate measure of variability for the data shown, and what is its value?
The mean is the best measure of variability and equals 8.
The median is the best measure of variability and equals 9.
The range is the best measure of variability and equals 10.
The IQR is the best measure of variability and equals 6.
Answer: 10 C
Step-by-step explanation:
Variability is the range of numbers.
here it goes from 2-12
so
12-2=10
Determine which postulate can be used to prove the triangles are congruent then identify the valid congruency statement/
(SELECT TWO ANSWERS)
Options:
A) AAS
B) ASA
C) HL
D) BCA ≅ DEC
E) ACB ≅ ECD
F) CAB ≅ CDE
Answer:
One of the answers is HL, and the other answer is ΔBCA ≅ ΔDEC, or ΔCAB ≅ ΔCDE.
Step-by-step explanation:
Only right angles use HL as a postulate theorem.
Let Y 1 ,Y 2 ,Y 3 ,Y 4 be the order tatitic of a U(0,θ) random ample X 1 ,X 2 ,X 3 ,X 4 . (a) Find the joint pdf of (V 1 ,V 2 ,V 3 ) , where V 1 = Y 2 Y 1 ,V 2 = Y 3 Y 2 , and V 3 = Y 4 Y 3 . (b) Find the marginal pdf of V 2
a. f(v₁, v₂, v₃) = f₁(v₁) × f₂(v₂) × f₃(v₃) is the joint pdf of (V₁, V₂, V₃).
b. The marginal pdf of V₂ is 1, indicating that V₂ is uniformly distributed between 0 and 1.
Given that Y₁, Y₂, Y₃, and Y₄ are order statistics of a random sample X₁, X₂, X₃, and X₄ from a uniform distribution U(0, θ), we know that the joint pdf of the order statistics is given by:
f(y₁, y₂, y₃, y₄) = n! / [(k₁ - 1)! × (k₂ - k₁ - 1)! × (k₃ - k₂ - 1)! × (n - k₃)!] × [1 / (θⁿ)],
where n is the sample size (n = 4 in this case), θ is the upper bound of the uniform distribution (θ in U(0, θ)), and k₁, k₂, k₃ are the orders of the order statistics (in ascending order).
Now, we need to determine the values of k₁, k₂, k₃ for the given V₁, V₂, V₃.
k₁ = 1 (as Y₁ is the smallest order statistic)
k₂ = 2 (as Y₂ is the second smallest order statistic)
k₃ = 3 (as Y₃ is the third smallest order statistic)
Now, we can express V₁ = Y₁/Y₂, V₂ = Y₂/Y₃, and V₃ = Y₃/Y₄ in terms of the order statistics:
V₁ = Y₁ / Y₂ = X₁ / X₂
V₂ = Y₂ / Y₃ = X₂ / X₃
V₃ = Y₃ / Y₄ = X₃ / X₄
Since X₁, X₂, X₃, and X₄ are independently and uniformly distributed between 0 and θ, the joint pdf of (V₁, V₂, V₃) can be expressed as the product of their individual pdfs:
f(v₁, v₂, v₃) = f₁(v₁) × f₂(v₂) × f₃(v₃),
where f₁(v₁) is the pdf of V₁, f₂(v₂) is the pdf of V₂, and f₃(v₃) is the pdf of V₃.
(b) To find the marginal pdf of V₂, we integrate the joint pdf f(v₁, v₂, v₃) over v₁ and v₃:
f₂(v₂) = ∫[0, ∞] ∫[0, ∞] f(v₁, v₂, v₃) dv₁ dv₃
Since we know the joint pdf f(v₁, v₂, v₃) is the product of the individual pdfs, we can write:
f₂(v₂) = ∫[0, ∞] ∫[0, ∞] f₁(v₁) × f₂(v₂) × f₃(v₃) dv₁ dv₃
Now, integrate the expression with respect to v₁ and v₃ over their respective domains (0 to ∞):
f₂(v₂) = ∫[0, ∞] f₁(v₁) dv₁ × ∫[0, ∞] f₃(v₃) dv₃
Since V₁ = X₁ / X₂ and V₃ = X₃ / X₄, we can express f₁(v₁) and f₃(v₃) in terms of the pdf of the uniform distribution:
f₁(v₁) = 1 / θ for 0 ≤ v₁ ≤ 1
f₃(v₃) = 1 / θ for 0 ≤ v₃ ≤ 1
Integrating over their respective domains:
∫[0, ∞] f₁(v₁) dv₁ = ∫[0, 1] (1 / θ) dv₁ = 1
∫[0, ∞] f₃(v₃) dv₃ = ∫[0, 1] (1 / θ) dv₃ = 1
Therefore, the marginal pdf of V₂ is:
f₂(v₂) = 1 × 1 = 1.
The marginal pdf of V₂ is a constant 1, indicating that V₂ is uniformly distributed between 0 and 1.
To learn more on probability click:
https://brainly.com/question/11234923
#SPJ4
Let Y₁ ,Y₂ ,Y₃ ,Y₄ be the order statitic of a U(0,θ) random ample X₁ , X₂ ,X₃ ,X₄ .
(a) Find the joint pdf of (V₁ ,V₂ ,V₃ ) , where V₁ = Y₁/Y₂ ,V₂ =Y₂/Y₃ and V₃ = Y₃/Y₄ .
(b) Find the marginal pdf of V₂.
Name the subsets that each number belongs to 35 MARK ALL THAT APPLY
REAL
RATIONAL
IRRATIONAL
NATURAL
WHOLE
INTEGER
Answer:
Real
Rational
Natural
Whole
Step-by-step explanation:
Because I passed all of my math with 100% so i know this is right
Write the ratio of corresponding sides for the similar triangles and reduce the ratio to lowest terms.
a.
10
d.
4 5
b. 4 5
I
s 100
10
4
8
--
8 10
415
이
00
I
C. 10 85
815
I
10
I
2/5
I
211
552
415
Mark this and return
Next
Submit
The ratio of corresponding sides for the given similar triangles is 2/5.
In the given options, the ratio of corresponding sides is provided for each set of similar triangles. Let's analyze each option to determine the correct ratio:
a. 10
This option only provides a single number and does not specify the ratio of corresponding sides. Therefore, it is not the correct answer.
b. 4/5
This option provides the ratio 4/5 for the corresponding sides of the similar triangles. However, the ratio can be simplified further.
To simplify the ratio, we divide both the numerator and denominator by their greatest common divisor (GCD). In this case, the GCD of 4 and 5 is 1.
Dividing 4 and 5 by 1, we get:
4 ÷ 1 = 4
5 ÷ 1 = 5
Therefore, the simplified ratio is 4/5.
c. 10/85
This option provides the ratio 10/85 for the corresponding sides of the similar triangles. However, this ratio cannot be simplified further, as 10 and 85 do not have a common factor other than 1.
Therefore, the correct ratio of corresponding sides for the given similar triangles is 2/5, as determined in option b.
For more such questions on triangles, click on:
https://brainly.com/question/17335144
#SPJ8
Which of the following criteria are used when deciding upon the
inclusion of a variable? Check all that apply.
Group of answer choices
A-Theory
B-t-statistic
C-Bias
D-Adjusted R^2
the criteria used when deciding upon the inclusion of a variable are A - Theory, B - t-statistic, C - Bias, and D - Adjusted R^2.
When deciding upon the inclusion of a variable, the following criteria are commonly used:
A - Theory: Theoretical justification is often considered to include a variable in a model. It involves assessing whether the variable is relevant and aligns with the underlying theory or conceptual framework.
B - t-statistic: The t-statistic is used to determine the statistical significance of a variable. A variable with a significant t-statistic suggests that it has a meaningful relationship with the dependent variable and may be included in the model.
C - Bias: Bias refers to the presence of systematic errors in the estimation of model parameters. It is important to consider the potential bias introduced by including or excluding a variable and assess whether it aligns with the research objectives.
D - Adjusted R^2: Adjusted R^2 is a measure of the goodness of fit of a regression model. It considers the trade-off between the number of variables included and the overall fit of the model. Adjusted R^2 helps in assessing whether the inclusion of a variable improves the model's explanatory power.
To know more about variable visit:
brainly.com/question/29583350
#SPJ11
determine whether descriptive or inferential statistics were used. forty-four percent of the people in the united states have type o blood. (sources: american red cross) group of answer choices descriptive inferential
Descriptive statistics involves describing and summarizing data, while inferential statistics involves making inferences or predictions about a population based on data from a sample.
Descriptive statistics is a branch of statistics that involves the collection, analysis, interpretation, and presentation of data. Its primary goal is to describe and summarize the characteristics of a set of data. In the case of the statement "forty-four percent of the people in the United States have type O blood," this is an example of descriptive statistics because it simply provides information about the percentage of people with type O blood in the United States population. This information is useful for understanding the prevalence of this blood type in the population, but it does not involve making any inferences or predictions about the population.
Inferential statistics, on the other hand, involves using data from a sample to make inferences or predictions about a larger population. For example, if a researcher wants to know whether a new drug is effective in treating a particular condition, they might conduct a study in which some patients receive the drug and others receive a placebo. The data from this study can be used to make inferences about the effectiveness of the drug in the larger population of people with the condition. Inferential statistics involves techniques such as hypothesis testing, confidence intervals, and regression analysis to help draw conclusions about a population based on data from a sample.
To learn more about Descriptive statistics please click on below link
https://brainly.com/question/29487303
#SPJ4
what is five eight plus one half?
Answer:
5/8 + 1/2 = 1 1/8
1/2 = 4/8
5/8 + 4/8 = 9/8
9/8 = 1 1/8
Those are the steps. Sorry for not doing it right earlier.
Step-by-step explanation:
5/8 + 1/2= 5/8+ 1 · 4/2 · 4 = 5/8+ 4/8 = 5 + 4/8= 9/8
It is suitable to adjust both fractions to a common equal, identical denominator for adding, subtracting, and comparing fractions. The common denominator you can calculate as the least common multiple of both denominators - is LCM(8, 2) = 8. It is enough to find the common denominator, not necessarily the lowest, by multiplying the denominators: 8 × 2 = 16. In the following intermediate step, it cannot further simplify the fraction result by canceling.
In other words - five-eighths plus one-half is nine-eighths.
Lennox owns a big apple orchard. She ships her apples to various markets using a fleet of trucks. Every week, each truck goes on
3
33 trips, and for each trip Lennox gets
300
300300 dollars. On a single trip, a truck delivers
50
5050 packs, and each pack contains
12
1212 kilograms of apples. Overall, Lennox sells
4500
45004500 dollars worth of apples in a week.
How much does Lennox get for a single kilogram of apples?
Lennox gets 1.11 dollars for a single kilogram of apples.
First, we need to find out how many trips each truck makes in a week:
Each truck makes 33 trips per week.
Next, we need to find out how much Lennox earns from a single trip of a truck:
Each trip earns Lennox 300 dollars.
Now, we need to calculate how much Lennox earns from a single truck in a week:
Each truck earns Lennox 33 trips x 300 dollars per trip = 9900 dollars per week.
We know that a single truck delivers 50 packs of apples per trip, and each pack contains 12 kilograms of apples, so each trip delivers a total of 50 x 12 = 600 kilograms of apples.
We also know that Lennox sells 4500 dollars worth of apples in a week, so we can calculate how many kilograms of apples she sells in a week:
4500 dollars / (300 dollars per trip x 33 trips per week) = 4500 / 9900 = 9/20 of a truck's total delivery.
Therefore, the total amount of apples delivered by a single truck in a week is:
600 kg per trip x 33 trips per week x 9/20 = 8910 kg.
Finally, we can calculate how much Lennox gets for a single kilogram of apples:
Lennox earns 9900 dollars per week from a single truck, which delivers 8910 kg of apples per week.
So, Lennox earns 9900 dollars / 8910 kg = 1.11 dollars per kilogram of apples.
Therefore, Lennox gets 1.11 dollars for a single kilogram of apples.
To know more about markets. here
https://brainly.com/question/25309906
#SPJ9
Pls help me!!! I don’t know the answer I will give u brainlyest if I get it correct
Answer:
C?
Step-by-step explanation:
Jenna works for the Parks Department and just completed some maintenance work at the baseball fields in Memorial Park. She needs to drive to the playground at Veteran’s Park next. In which general direction will she drive?
a map of a town showing two parks
A.
southwest
B.
northwest
C.
southeast
D.
northeast
Answer:North west, the roads should have stopped this answer but north alone wasn’t an option so just pretend Jenna is a lawless maniac ig♂️
Step-by-step explanation:
please me in math
\( \frac{a + 1}{a - 1} + \frac{ {a - 1}^{2} }{a + 1} \)
Step-by-step explanation:
hope this helps you thank you
\(\boxed{ \sf{Answer}} \)
\( \large{\sf\frac{a + 1}{a - 1} + \frac{ {a - 1}^{2} }{a + 1}} \)
Use the algebraic identities ⟶
\({\sf(a - b)(a + b) = {a}^{2} - b ^{2}} \)\({\sf(a + b) {}^{2} = {a}^{2} + 2ab - {b}^{2}} \)\({\sf(a - b) {}^{2} = {a}^{2} - 2ab + {b}^{2}} \)Squaring on both the sides
\( {\sf\frac{(a + 1 {)}^{2} + ( {a - 1)}^{2} }{(a - 1)(a + 1)}} \)
\(=\frac{ {a}^{2} + 2a + 1 + {a}^{2} - 2a + 1 }{ {a}^{2} - 1 } \\ = \frac{ {a}^{2} +\bcancel 2a + 1 + {a}^{2} - \bcancel2a + 1 }{ {a}^{2} - 1 } \\ = \frac{ {a}^{2} + {a}^{2} + 1 + 1 }{ {a}^{2} - 1}\)
\(\large\boxed{\sf{⟹\frac{ {2a}^{2} + 2}{ {a}^{2} - 1 }}} \)
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
HELP I NEED HELP PLS FOR GODS SAKE
806 divided by 4
Answer:
201.5
Step-by-step explanation:
806/4=201.5
this is the answer
Answer:
201.5
Step-by-step explanation: