The sum of the area of the rectangle has an area of 5x + 22 ft²rectangle b has an area of 8x - 2 ft² is 13x + 20 ft².
What is rectangle?An enclosed 2-D shape called a rectangle has four sides, four corners, and four right angles (90°). A rectangle has equal and parallel, opposite sides. Since a rectangle is a two-dimensional form, it has two dimensions: length and width. The rectangle's longer side is its length, while its shorter side is its breadth.
Given:
The area of a rectangle, A = 5x+22 ft²,
The area of a rectangle, B = 8x-2 ft²,
Calculate the sum of the areas as shown below,
A + B = 5x + 22 + 8x - 2
A + B = 13x + 20 ft²
Therefore, the sum of the area of the rectangle has an area of 5x + 22 ft²rectangle b has an area of 8x - 2 ft² is 13x + 20 ft².
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evaluate the following expression for x=8
a. 82
b.178
c.854
d. 188
Answer:
178
Step-by-step explanation:
SORRY IF ITS WRONG IM BAD AT MATH :(
Calculate the double integral.
3xy2
x2 + 1dA, R = {(x, y) | 0 ≤ x ≤ 1, −2 ≤ y ≤ 2}
iintegral.gif
R
the double integral.3xy2 x2 + 1dA, R = {(x, y) | 0 ≤ x ≤ 1, −2 ≤ y ≤ 2}
∫∫3xy2 dx dy = 16
We start by calculating the limits of integration. The given region, R, is bounded by 0 ≤ x ≤ 1 and −2 ≤ y ≤ 2. This means that the double integral is:
∫∫3xy2 dx dy = ∫0→1∫-2→2 3xy2 dx dy
Next, we will calculate the integral with respect to x. We can easily do this by integrating 3xy2 with respect to x. This gives us the following:
∫0→1 3xy2 dx = x3y2 + c
Now, we can substitute this expression into the double integral, giving us:
∫∫3xy2 dx dy = ∫0→1 (x3y2 + c) dy
Finally, we can integrate this expression with respect to y, giving us the following:
∫∫3xy2 dx dy = x3y3 + cy + d
Now, we can substitute the limits of integration into this expression, giving us the following:
∫∫3xy2 dx dy = 1(32) + c(-2) + d = 16
therefore, the double integral is equal to 16.
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PLEASE HELP THIS IS WORTH 12 points and you will be marked as brainliest !!!!!!!!! REALLY URGENT !!!!!
------------------
Figure JKLM below is dilated with a scale factor of 1/4 . Match the appropriate coordinates for J' K' L' M' (after dilation) .
Basically what is :
(4,8) x 1/4 = ?
(4,-8) x 1/4 =?
(-8,0) x 1/4 = ?
(8,0) x 1/4 =?
Step-by-step explanation:
so, for (4, 8) × 1/4, what is 4×1/4 ? and what is 8×1/4 ?
(1, 2)
similar for (4, -8) it is (1, -2).
similar for (-8, 0) it is (-2, 0).
similar for (8, 0) it is (2, 0).
that's it. that's really all there is to it. you multiply all the coordinates by the scale factor.
Complete the table of values below: x -2 -1 0 1 2 3 f(x)=(1/3)^x -2 ANSWER
-1 ANSWER
0 ANSWER
1 ANSWER
2 ANSWER
9, 3, and 1 are the values of a, b, and c using the exponential function g(x)=(1/3)∧x.
What are exponential functions?A mathematical function with the formula f (x) = an x is an exponential function.
Where x is a variable, and an is a constant called the basis of the function.
The most typically seen exponential-function base is the transcendental number e, which is equivalent to about 2.71828.
So, the exponential function:
g(x) = (1/3)∧x
From the table, we are also to find out the value of a, b and c
If x = -2
g(-2) = a = (1/3)⁻²
a = 1/3⁻²
a = 9
Accordingly,
If x = -1
g(-1) = b = (1/3)⁻¹
a = 1/3⁻¹
b = 3
Hence,
If x = 0
If x = -1
g(0) = c = (1/3)⁰
c = 1
Therefore, 9, 3, and 1 are the values of a, b and c using the exponential function g(x) = (1/3)∧x.
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Complete question:
Complete the table of values for the function.
f(x) = ( 1/3) ^x
a=
b=
c=
What is the variable? -7+4x=5
Answer: x =3
Step-by-step explanation:
-7+4x=5
4x = 12
x =3
Answer:x=3 good luck You got this one
Step-by-step explanation:
-7+4x=5
Move the constant to the right-hand side and change its sign
4x=5+7
Add the numbers
4x=12
Divide both sides of the equation by 4
x=3
which quadratic equation fits the data in the table?
Answer:
x^2 - x +3, aka the last option
Step-by-step explanation: y intercept is positive in the table, and leaves us with the first option and the last option. plugging in 3 gets the right answer of 9 for the last choice and gives 15 for the first choice
2/6 - Write an equation to represent the word phrase: Twice the sum of a number and 11 is 34 Use the variable h to represent the unknown amount. Equation: Show your steps below as to how you solved the equation.
The equation of the word phrase is 2(h + 11) = 34
How to determine the equation of the phraseFrom the question, we have the following parameters that can be used in our computation:
Twice the sum of a number and 11 is 34
Represent the variable with h
So, we have the following representation
Twice the sum of h and 11 is 34
Express the sum
This gives
Twice h + 11 is 34
Next, we have
2(h + 11) is 34
Express as equation
2(h + 11) = 34
Hence, the equation is 2(h + 11) = 34
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(the question is on the image)
Congruent triangle: The values of x, y, and z are x = 23; y = 7 and z = 11.
What is a congruent triangle?
If all three corresponding sides and all three corresponding angles are equal in size, two triangles are said to be congruent.
Given: ΔPRS ≅ ΔCFH
Since both triangles are congruent, m<R = m<F
m<F is a right angle = 90°.
Thus, 13y - 1 = 90
13y = 90 + 1
13y = 91
y = [tex]\frac{91}{13}[/tex]
y = 7
Also, by inspection
PS = CH
⇒ 2x - 7 = 39
⇒ 2x = 39 + 7
⇒ 2x = 46 ⇒ x = [tex]\frac{46}{2}[/tex]
x = 23
Since m<R is 90°, then
m<S = 180 - (90 + 28)
m<S = 62°
By inspection,
m<S = m<H
Thus,
⇒ 6z - 4 = 62
⇒ 6z = 66
z = [tex]\frac{66}{6}[/tex]
z = 11
Hence, x = 23, y = 7 and z = 11.
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Score: /1 Attempts: 30. For a perfectly symmetrical distribution, which relationship... For a perfectly symmetrical distribution, which relationship is always true? 9 Mean = median = mode Median= mode O Mean mode O Mean - median
For a perfectly symmetrical Distribution, the perfect relationship is
Mean = Median.
A symmetric distribution is when the values of a variable occur with regular frequency, often the mean, median, and mode all occurring at the same point. A line in the middle of the chart indicates that the two planes are mirror images of each other. In graphical form, symmetric distributions are displayed as normal (that is, bell-shaped) distributions. Symmetric distribution is a central concept in technical trading as it assumes that the price movements of an asset over time follow a symmetric distribution curve.
A symmetric distribution can be contrasted with an asymmetric distribution. Asymmetric distributions are probability distributions that are skewed or otherwise irregular in shape.
The Properties of Symmetrical distribution is :
Mean.MedianMode.Mean:
In mathematics, especially statistics, there are several kinds of instruments. Each average is used to summarize a particular group of data in order to better understand the overall values (magnitude and sign) of a particular data set.
For datasets, the arithmetic mean, also called the "arithmetic mean", is a measure of the central tendency of a finite set of numbers. More specifically, the sum of the values divided by the number of values. The arithmetic mean of a series of numbers x₁, x₂, ..., xₙ is usually given by the overhead bar. The dataset was based on a series of observations obtained by sampling from a statistical population. The arithmetic mean is the population mean is denoted by μ.
Median:
The median is the number in the middle of a sorted ascending or descending list of numbers that better describes the data set than the mean. This is the point above and below which half (50%) of the observed data lies, representing the midpoint of the data. Often compared to descriptive statistics.
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If θ is an angle in standard position and its terminal side passes through the point (2,-1), find the exact value of \tan\thetatanθ in simplest radical form.
The exact value of tanθ is -1/2
What is the trigonometric ratio?
Trigonometric ratios are the ratios of a right triangle's sides. The sine (sin), cosine (cos), and tangent (tan) are three often used trigonometric ratios. There are other trigonometric ratios which are reciprocals of these ratios.
Given:
θ is an angle in standard position and its terminal side passes through the point (2,-1).
To find:
The exact value of tanθ in simplest radical form.
If θ is an angle in standard position and its terminal side passes through the point (x,y), then the exact value of tanθ is:
tanθ = y/x
It is given that, θ is an angle in standard position and its terminal side passes through the point (2,-1),. So, t he exact value of tanθ is:
tanθ = -1/2
Therefore, the required value is tanθ = -1/2
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1-7
bio
Triangle ABC is translated according to the rule (x, y) → (x + 2, y - 8). If the coordinates of the pre-image of point B
are
(4,-5), what are the coordinates of B'?
O (2, 3)
O (1,-9)
O (-3,-4)
O (6,-13)
According to the translation rule (x, y) → (x + 2, y - 8), B (4,-5) will be transformed to B'
O (6,-13)
How to determine the coordinates of B after transformationA transformation known as a translation involves moving each point in a figure uniformly and in the same direction.
information from the question
Transformation rule (x, y) → (x + 2, y - 8)
B is at 4, negative 5 = B (4, -5)
The transformation rule gives
point B (4, -5)
applying the rule
x' = 4 + 2 = 6
y' = -5 - 8 = -13
The coordinates of point B' (x', y') after translation is = B'(6, -13)
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Pls help me limited time i’ll give brainliest
Answer:
2.4 would be the answer i took this before
Step-by-step explanation:
how is jamal's wealth affected by an investment when the stakes are small? it is affected by a small amount in either a positive or a negative direction. it is affected more if the probability is great than if the probability is small. it is impacted more if the return is positive than if it is negative. it is impacted by a great deal in either a positive or a negative direction.
Jamal's wealth will be affected positively and negatively depending on the investment probability
If Jamal makes a small investment and the stakes are small, the small amount can affect his wealth in a positive or negative direction. The magnitude of the impact depends on the investment's probability of success and the investment's potential return.
If the probability of success is high and the potential return is positive, the impact on Jamal's net worth could be greater. On the other hand, a low probability of success and a negative potential return may have less impact on Jamal's fortunes.
Ultimately, the impact of a small investment on Jamal's wealth will depend on the specific details of the investment and the associated risks and potential rewards.
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is the line through (-2, 4, 0 and (1, 1, 1) perpendicular to the line through (2, 3, 4) and (3, 21, -8)?
AB is not perpendicular to CD
What does perpendicular mean ?Perpendicular lines are two separate lines that cross one other at a right angle, or a 90° angle. Example: Because AB and XY overlap at a 90° angle, AB is perpendicular to XY in this instance.
Does perpendicular means opposite?Lines that cross one other at an angle are known as perpendicular lines. Their slopes are the reciprocal opposites of one another.
Given A (-2, 4, 0),B(1, 1, 1),C(2, 3, 4),D (3, 21, -8)
(-1,3,-1) for AB
(-1,-18,12) for CD
For the lines AB and CD to be perpendicular
a 1a2+b1b2+c1c2=0
-1(-1)+3(-18)+(-1)(12)
=1-54−12=-65not equal to 0
∴ AB not perpendicular to CD
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Solve pls brainliest
Answer:
3. 44 root= between 6 and 7 (more on the 7 side)
Think About the Process Karen purchased a DVD player on sale. The orginal selling price was $179.30. The sale price was $154. 15. What is the first step in finding the percent markdown? Find the percent mandowen.
The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Required percentage value = a
total value = b
Percentage = a/b x 100
The percent markdown is 14%.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Original price = $179.30
The selling price = $154.15
The percent markdown.
= (179.30 - 154.15) / 179.30 x 100
= 25.15 / 179.30 x 100
= 14%
Thus,
The percent markdown is 14%.
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Write a compound inequality to represent all of the numbers between 4 and 6. UPLOAD All real number that are between.docx X WRITER All real number that are between 4 and 6. Form of compound inequality the statement represents: Suppose x is real number from statement is the greater than 4 and 6. x>-4 and x<6. The compound inequality written as 4-5} {xIx<5)? the empty set the numbers between -5 and 5 all numbers except -5 and 5 all real numbers
The compound inequality is -4 < X < 6.
Let X represents the numbers between 4 and 6
X is between 4 and 6. This means that 4 and 6 are not included in the series of numbers. Thus, they are the boundaries of the series of numbers.
The number between 4 and 6 is 5.
To find the compound inequality, we look at the series of numbers. Here, we notice that the number 5 is greater than 4 (the number is greater than 4 because it lies on the right-hand side of 4 on the number line) and the number 5 is smaller than 6 (the number is smaller than 6 because it lies on the left-hand side of 6 on the number line).
Thus, the compound inequality is -4 < X < 6.
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-6x – 9y = 0
-24x = 36y
infinite
none
or one solution?
Answer:
No solution
Step-by-step explanation:
-6x - 9y = 0
-24x -36y = 0
Multiply the top equation by -4 and add that to the second equation
24x + 36y = -4
-24x - 36y = 0
0 + 0 = -4
0 ≠ -4 Since this is a false statement, the answer is no solution.
Find the sales tax. Sales Tax Selling Price Rate of Sales Tax Sales Tax
$40.00
8%
The sales tax is $
The sales tax on the good based on the selling price that is given will be $3.20.
How to calculate the sales tax?It should be noted that the sales tax simply means the tax that's levied on the goods and services that are sold by.
Based on the information given, the following can be deduced:
Sales tax Percentage = 8%
Price of good = $40
In this situation, in order to calculate the sales tax, we will have to multiply the sales tax percentage by the amount of the good which is the selling price. This will be:
Sales tax = Sales tax percentage × Price
Sales tax = 8% × $40
Sales tax = 0.08 × $40
Sale tax = $3.20
Therefore, the sales tax is $3.20.
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what is n 3(–4n – 9) = 21
Answer:
n=-4
Step-by-step explanation:
3(-4n-9) = 21
_________ ____
3 3
-4n-9=7
-4n=16
__ __
-4n -4n
n= -4
Answer: n= -4
Step-by-step explanation:
1: Distribute: 3(-4n - 9)= 21 so, -12n - 27= 21
2: Add 27 on both sides: -12n - 27 = 21
+27 = +27
3: Level: -12n = 28
4: Divide both sides by the same factor: -12n = 48
------ = ----
-12 - 12
5: Level again: n = -4 because 48/(-12) is -4.
if my overall grade is 44 percent and a test is worth 60 percent of my grade and i get 50 percent on a test what would my overall grade be now?
Answer:
Step-by-step explanation:85 percent with equals a b
you toss a pair of six-sided dice. (a) determine the number of possible pairs of outcomes. (recall that there are six possible outcomes for each die.)
36 is the number of possible pairs of outcomes by probability.
What is a probability answer?
Mathematics' branch of probability, where probability is the likelihood that any event will occur, deals with the occurrence of random events.
The probability value is given as a number between 0 and 1. Probabilities are always between 0 and 1. The basic probability formula is: Probability = Number of Favorable Outcomes / Total Number of Outcomes.
We have two dice in this question. A die is known to be make up of 6 faces.
Therefore the number of faces for two dice = 6*6 = 36
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Which is an example of a defined term A. Point B. Line C. Ray D. Plane
Answer: c:ray
Step-by-step explanation:
A ray is like a line, but the line takes off in one direction to infinity while the other side is like a line segment. The end of the line is called the endpoint. That's why it is a defined term.
an automobile assembly line runs for 9 3/4 hours each day. employees work 3/4-hour shifts. how many shifts are there in each day
A. 9 shifts
B. 10 shifts
C. 12 shifts
D. 13 shifts
Answer:
D 13 shirt
Step-by-step explanation:
9 [tex]\frac{3}{4}[/tex] ÷ [tex]\frac{3}{4}[/tex]
[tex]\frac{39}{4}[/tex] x [tex]\frac{4}{3}[/tex] = 13
I am too tired to think, please help my daughter finish her homework
Answer: 3(p-5) + 2s
Step-by-step explanation:
Let p represent the henna powder, we know that she has a discount of $5 dollar for every henna powder, and she will buy 3.
So the equation is 3(p-5), plus the two bottles, we get the equation
3(p-5) + 2s
sara wonders what percentage of her students answered at least half of the quiz questions incorrectly. the relative cumulative frequency of students who earned a score of 20 or lower on the quiz is . 14% 68% 28% 34%
The relative cumulative frequency of students who earned a score of 20 or lower on the quiz is: B. 68%.
What is a frequency table?In Mathematics and Statistics, a frequency table can be used to graphically represent the frequencies or relative frequencies that are associated with a categorical variable.
How to calculate cumulative frequency?In Mathematics and Statistics, the cumulative frequency of a data set can be calculated by adding each frequency from a frequency distribution table to the sum of the preceding frequency. Thus, the relative cumulative frequency would be calculated as follows;
Cumulative frequency of students = 4 + 8 + 15 + 7 = 34.
Cumulative frequency of students = 34.
Total frequency = 4 + 8 + 15 + 7 + 7 + 3 + 4 + 2
Total frequency = 50.
Therefore, the relative cumulative frequency can now be determined;
Relative cumulative frequency = 34/50
Relative cumulative frequency = 0.68 or 68%
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Answer:
68%
Step-by-step explanation:
Got it right.
Puzzle #2
Use the digits -9 to 9 to complete the puzzle below. Try all the combinations. But as you begin doing that, you will realize that in some cases you are looking for factor combinations with a particular sum or difference. You will see that some numbers have to be greater than a particular value in order to produce the product you are looking for. Show your work to confirm your solution.
( i dont normally ask questions on here but this has been frying my brain for the last hour. help would be appreciated.)
The completed equation of complex numbers in the puzzle is presented as follows;
(5 - 6·i) × (2 + 4·i) = 34 + 8·i
What are complex numbers?Complex numbers are numbers that have a real number part and an number imaginary part.
The formula form the multiplication of two complex numbers is presented as follows;
(a + i·b) × (c + i·d) = (a·c - b·d) + i·(a·d + b·c)
The specified equation is; (_ + _i) × (_ + _i) = 34 + 8·i
Therefore; (a·c - b·d) = 34
(a·d + b·c) = 8
Making a the subject, we get;
(34 + b·d)/c = (8 - b·c)/d
34·d + b·d² = 8·c - b·c²
b·d² + b·c² = 8·c - 34·d
b = (8·c - 34·d)/(d² + c²)...(1)
Similarly, making c the subject, we get;
(34 + b·d)/a = (8 - a·d)/b
34·b + b²·d = 8·a - a²·d
b²·d + a²·d = 8·a - 34·b
d = (8·a - 34·b)/(b² + a²)...(2)
The values of b and d which are whole numbers larger than or equal to -9 and less than or equal to 9, obtained using MS Excel are;
-8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8
Obtaining the whole number digit for b from equation (1) and plugging in the value of b in equation (2), to obtain the value of d with which the value of b was obtained, we should get;
a = 5, b = -6, c = 2, and d = 4
Which indicates that we get;
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When matter burns: Mechanical energy is changed to heat energy. Light energy is changed to heat energy. Chemical energy is changed to heat energy.
Answer:
Chemical energy is changed to heat energy.
Step-by-step explanation:
How many solutions does this system of equations have?
Responses
Exactly two
Exactly two
None
None
Infinitely many
Infinitely many
Exactly one
Exactly one
Graph of a system of linear equations. Equation 1 is negative x plus 2y equals 6. Equation 2 is negative x plus 2y equals 0. The graphs of the lines are parallel.
Answer: Answer is NONE
Step-by-step explanation:
I took the test
1
Harlan is a real estate agent whose total annual earnings are
the sum of his annual salary and the commission shown. Last
year, Harlan sold 10 homes that totaled $2,500,000 in sales.
How much commission did Harlan earn?
A. The amount of Harlan's sales for the year is $
Harlan will receive
commission amount.
B. Calculate Harlan's commission.
2,500,000 %
Harlan earned a commission of $
C. How do you know your answer is reasonable?
% of his sales as his
Answer:
commission. This is a common industry practice, and it is reasonable to assume that Harlan earned this percentage from his sales.
Step-by-step explanation:
