Step-by-step explanation:
x + 4/2 x = 3/4 + 2/8 x
3x = 3/4 + 1/4 x
2 3/4 x = 3/ 4
x = 3/4 / ( 2 /3/4) = .273 ( or 3/11)
On a coordinate plane, 2 parallelograms are shown. Parallelogram 1 has points (0, 2), (2, 6), (6, 4), and (4, 0). Parallelogram 2 has points (2, 0), (4, negative 6), (2, negative 8), and (0, negative 2). How do the areas of the parallelograms compare? The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2. The area of parallelogram 1 is 2 square units greater than the area of parallelogram 2. The area of parallelogram 1 is equal to the area of parallelogram 2. The area of parallelogram 1 is 2 square units less than the area of parallelogram 2.
Answer:
A) The area of parallelogram 1 is 4 square units greater than the area of parallelogram 2.
The area of parallelogram 1 is 2 square units greater than the area of parallelogram. Option 2 is correct.
What is the area?The space filled by a flat form or the surface of an item is known as the area.
The number of unit squares that cover the surface of a closed-form is the figure's area. Square centimeters and other similar units are used to measure area.
A₁ is the area of parallelogram 1
A₁ is the area of parallelogram 2
l₁ is the distance between the points (2,6),(0,2)
l₂ is the distance between the points (4,0)(0,2)
b₁ is the distance between the points (2,0),(0,-2)
b₂ is the distance between the points (2,6),(4,-6)
A₁ = l₁ × b₁
A₁=4.47 ×4.47
A₁ = 19.89 sq.unit
A₂=l₂×b₂
A₂=2.82 × 6.342
A₂=17.88 sq.unit
A₁-A₂ = 19.89 sq.unit - 17.88 sq.unit'
A₁-A₂= 2.01
The area of parallelogram 1 is 2 square units greater than the area of a parallelogram.
Hence,option 2 is correct.
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If X is a random variable that is uniformly distributed between – 1 and 1, find the PDF of Y =√ |X| and the PDF of Z = – In[X]. (Hint: Compute the CDF first.)
The next permutation after 614532 in the lexicographic ordering of the permutations of the set {1, 2, 3, 4, 5, 6} is 614523.
To find the next permutation, we need to identify the rightmost element that can be increased while keeping the remaining elements in non-increasing order.
In the given permutation 614532, the rightmost element that can be increased is 3 because the remaining elements, 2 and 5, are in non-increasing order.
Next, we need to find the smallest element larger than 3 among the elements to the right of 3. In this case, that element is 5.We swap the elements 3 and 5, resulting in the permutation 614523.
Finally, we need to sort the remaining elements in non-decreasing order to obtain the next lexicographically ordered permutation. In this case, the remaining elements are 2 and 3, which are already in non-decreasing order.
Therefore, the next permutation after 614532 is 614523.
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What is the area of a circle with a diameter of 12cm?
Answer:
36pi
Step-by-step explanation:
area of a circle is pi*radius^2
the radius of a circle w a diameter of 12 is 6 so square 6 to get 36 and then multiply by pi
Answer:
A=36pi cm^2 or 113.097 squared cm
Step-by-step explanation:
A=pi(r)^2
A=pi(6)^2
A=36pi cm^2
1 (-19 -6), (15, 16)
Answer:
403 is the answer
Step-by-step explanation:
Answer:
\(\frac{5}{3}\)
Step-by-step explanation:
The formula for finding slope with two points is: \(\frac{y_{2} - y_{1} }{x_{2} - x_{1} }\). In this case the formula would be: \(\frac{16- (-19)}{15- (-6)}\). This is also: \(\frac{16+19}{15+6}\). Solve to get: \(\frac{35}{21}\). You can simplify this to: \(\frac{5}{3}\).
Hope it helps!
Angela check out 12 library book and Inola check out 1/3v le than that. How many book doe Inola check out?
Angela check out 12 library book and Inola check out 1/3v then Inola checked out 12 - 3 = 9 books.
What is algebra ?
Algebra is a branch of mathematics that deals with mathematical symbols and the rules for manipulating these symbols. It is a way to represent mathematical relations and to reason about them. Algebraic concepts include using variables (such as x or y) to represent unknown values, using operations such as addition, subtraction, multiplication and division.
We know that ,
Angela = 12 books
Inola = 1/3v less than Angela
To find the value of v, we can set up the proportion ,
12 = v + 1/3v
We can then solve for v by multiplying both sides by 3 ,
12*3 = 3v + v
36 = 4v
So, v = 9
Inola checked out 1/3v less than Angela, which is ,
1/3 * 9 = 3
So, Angela check out 12 library book and Inola check out 1/3v then Inola checked out 12 - 3 = 9 books.
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A pound of fertilizer covers 31 square feet of lawn. Vivian Bulgakov's lawn measures 9480.5 square feet. How much fertilizer, to the nearest tenth of a pound, does she need to buy?
Answer:
a lot
Step-by-step explanation:
HELP! And please show the process of solving it
Hydraulic fracturing is a process used by gas companies to rupture and collects pockets of gas trapped within pockets of shale rock. A particular shale fracking site is 1/6 miles in length and occupies an area of 5/8^2 miles. How wide is this particular site?
Answer as an improper fraction = 30/8 miles
Answer as a mixed number = 3 & 3/4 miles
Answer in decimal form = 3.75 miles
============================================================
How to get that answer:
Let's start with what we're given
length = 1/6 mileswidth = w, some unknown positive numberarea = 5/8 square milesAssuming this site is a rectangle, then we can say:
area = length*width
5/8 = (1/6)*w
(5/8)*(6/1) = w
(5*6)/(8*1) = w
30/8 = w
w = 30/8
The answer as an improper fraction is 30/8 miles.
If you want to convert that to a mixed number, then,
30/8 = (24+6)/8
30/8 = 24/8 + 6/8
30/8 = 3 + 3/4
30/8 = 3 & 3/4
The answer as a mixed number is 3 & 3/4 miles
Meaning the width is a full 3 miles wide, plus an additional 3/4 of a mile as well.
In decimal form, the answer is 3.75 miles
Of the four choices given, which two, when written as a system, have a solution of (-4,5)?
Answer:
The answer is A. The first one.
I hope this helps. ;)
Answer:
It is A on edge 2020
Step-by-step explanation:
Using the ordered pairs (-2, 4) and m= -3 provide the following information: Point - Slope form: or Slope Intercept form : Standard forma
X intercept: Y intercept:
Answer:
Using the ordered pairs (-2, 4) and m= -3 provide the following information: Point - Slope form: or Slope Intercept form : Standard forma
X intercept: Y interce
Step-by-step explanation:
Answer:
m = 0.0125
Step-by-step explanation:
what should a good residual plot look like if the regression line fits the data well?
A good residual plot should have the points randomly scattered around the horizontal line with no discernible pattern.
This indicates that the model is well fit to the data. The residuals should also be equally distributed on either side of the horizontal line. This can be seen as the sum of the residuals being equal to 0, or mathematically expressed as the sum of the residuals (e) being equal to 0, where \(e = y - ŷ\), where y is the observed value and ŷ is the predicted value. The equation can be expressed as Σe=0.
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A farmer decides to sell 25% of his 500 cows. How many cows does he
sells?
Solve + 17 = 20 for x and plot its value on the number line given below.
Answer:
x=12
Step-by-step explanation:
x/4 + 17 =20
Subtract 17 from each side
x/4 +17-17 =20-17
x/4 = 3
Multiply each side by 4
x/4 *4 = 3*4
x =12
a. Given a variable, Z, that follows a standard normal distribution., find the area under the standard normal curve between z = 0.5 and z = 1.4 i.e. Find P(0.5 < z < 1.4).
i. 0.6915
ii. 0.3085
iii. 0.9192
iv. 0.2277
b. For the pooled t-test to be appropriate, which of the following assumptions about the two populations must be made?
i. The two population variances are equal
ii. The two population variances are unequal
The area under the standard normal curve between z = 0.5 and z = 1.4, denoted as P(0.5 < z < 1.4), can be found using the cumulative distribution function (CDF) of the standard normal distribution. The correct answer for this probability is option iii. 0.9192.
To calculate P(0.5 < z < 1.4), we need to find the probability of z being less than 1.4 (P(z < 1.4)) and subtract the probability of z being less than 0.5 (P(z < 0.5)) from it. By using a standard normal distribution table or a statistical software, we can find that P(z < 1.4) is approximately 0.9192 and P(z < 0.5) is approximately 0.3085. Therefore, P(0.5 < z < 1.4) is approximately 0.9192 - 0.3085 = 0.6107.
In summary, the correct answer for P(0.5 < z < 1.4) is option iii. 0.9192. This probability represents the area under the standard normal curve between z = 0.5 and z = 1.4. It can be calculated by subtracting the cumulative probability of z < 0.5 from the cumulative probability of z < 1.4.
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Find the limit.
lim┬(t→2)〖(√(2-t i )+ In(t)j-1/t k)^ 〗
To find the limit as t approaches 2 of the expression (√(2-t)i + ln(t)j - 1/tk), we can substitute t = 2 into the expression. The limit evaluates to (-1i + ln(2)j - 1/2k).
The given expression (√(2-t)i + ln(t)j - 1/tk) involves three components: the term with i, the term with j, and the term with k. We can evaluate each component separately to find the limit.
Substituting t = 2 into the first component, (√(2-t)i), we get (√(2-2)i) = 0i = 0.
Substituting t = 2 into the second component, (ln(t)j), we get (ln(2)j).
Substituting t = 2 into the third component, (-1/tk), we get (-1/2k).
Putting all the components together, the limit as t approaches 2 of the given expression is: lim┬(t→2)〖(√(2-t i )+ In(t)j-1/t k)^ 〗= (0i + ln(2)j - 1/2k) = -1/2k + ln(2)j.
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What is r in the Equation -
15r = 45/7
Answer:
3/7
Step-by-step explanation:
r=(45/7)(1/15) divide by 15 on each side
r=45/105
r=3/7 simplify
The histograms display the frequency of temperatures in two different locations in a 30-day period.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. A shaded bar stops at 10 above 60 to 69, at 9 above 70 to 79, at 5 above 80 to 89, at 4 above 90 to 99, and at 2 above 100 to 109. There is no shaded bar above 110 to 119. The graph is titled Temps in Sunny Town.
A graph with the x-axis labeled Temperature in Degrees, with intervals 60 to 69, 70 to 79, 80 to 89, 90 to 99, 100 to 109, 110 to 119. The y-axis is labeled Frequency and begins at 0 with tick marks every one unit up to 14. There is no shaded bar above 60 to 69. A shaded bar stops at 4 above 70 to 79, at 4 above 80 to 89, at 6 above 90 to 99, at 6 above 100 to 109 and at 10 above 110 to 119. The graph is titled Temps in Beach Town.
When comparing the data, which measure of variability should be used for both sets of data to determine the location with the most consistent temperature?
IQR, because Sunny Town is symmetric
IQR, because Beach Town is skewed
Range, because Sunny Town is skewed
Range, because Beach Town is symmetric
The answer is either A. IQR, because Sunny Town is symmetric or B. IQR, because Beach Town is skewed.
What is distributions?A distribution refers to the pattern of how data is spread out or distributed across different values or intervals. It is a way to describe and analyze the shape, center, and spread of a set of data.
According to question:To determine the location with the most consistent temperature, we need to measure the variability of the temperature data in both locations. The measure of variability that is appropriate for this purpose is the interquartile range (IQR), which measures the spread of the middle 50% of the data.
Therefore, the answer is either A. IQR, because Sunny Town is symmetric or B. IQR, because Beach Town is skewed, depending on the shape of the distributions. If the temperature data in Sunny Town is symmetric, then the IQR would be appropriate to measure the spread of the data. If the temperature data in Beach Town is skewed, then the IQR would also be appropriate to measure the spread of the data. However, if the temperature data in either location is not skewed, then the range would not be an appropriate measure of variability.
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13+14=3×f;f=9 helppp
Answer: 3x=13+14
3x=27
x=27/3
x=9
Step-by-step explanation: Maybe.
Please help me with this Geometry Question
The value of x from the given figure is 12 units.
What are similar triangles?Two triangles are similar if the angles are the same size or the corresponding sides are in the same ratio. Either of these conditions will prove two triangles are similar.
From the given figure,
Consider ΔADC and ΔABC,
∠C=∠C (Reflex property)
AC=AC (Reflex property)
∠BAC=∠CDA=90°
By AA similarity, ΔADC ~ ΔABC
So, AC/BC = DC/AC
x/36 = 4/x
x²=36×4
x²=144
x=12 units
Therefore, the value of x from the given figure is 12 units.
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PLS HELP !!!!! ILL MARK AD THE BRAINLIEST
The length of x in given triangle is BD = 10 units.
What is Pythagoras theorem ?
Pythagoras theorem states that in a right-angled triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the lengths of the other two sides. It can be written as:
\(c^2 = a^2 + b^2\)
where c is the length of the hypotenuse, and a and b are the lengths of the other two sides.
According to the question:
Using Pythagoras theorem in triangle ABD, we have:
AD² + BD² = AB²
Since AD is the perpendicular from A to BC, it is also the height of the triangle ABC. Hence, we can use the area formula for a triangle:
Area(ABC) = 1/2 * AB * AD
On the other hand, we can also express the area of ABC using the base BC:
Area(ABC) = 1/2 * BC * h
where h is the length of the perpendicular from A to BC, which is the same as AD.
Equating the two expressions for the area of ABC, we get:
1/2 * AB * AD = 1/2 * BC * AD
Simplifying, we get:
AB = BC * (BD / AD)
Substituting the given values, we get:
20 = 30 * (x / AD)
AD = 30/2 = 15 (since the perpendicular from A to BC bisects BC)
Substituting AD into the equation above, we get:
20 = 30 * (x / 15)
Solving for x, we get:
x = 10
Therefore, BD = 10 units.
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At the store 5 lbs of apples costs $6.70. What is the constant of proportionality that relates x, pounds of apples to y, cost in dollars?
Answer:
5x=6.70y
Step-by-step explanation:
how can tell if a table values is proportional
Answer:
You can
Step-by-step explanation:
To see if multiple ratios are proportional, you could write them as fractions, reduce them, and compare them.
Answer:
To tell if a table values are proportional, the x and the y value should have a common factor. When the numbers are all divided by their common factor, the points should all be equal to each other.
The slope is m. The y-intercept is b.
Answer is;
y=mx+b
This is the equation with these variables in it
I need help please guys
The type of correlation shown in this scatterplot is Positive, Linear.
To determine the type of correlation shown in a scatterplot, we need to analyze the pattern of the plotted points.
By plotting the points and analyzing their pattern, we can identify the type of correlation.
Looking at the scatterplot:
The points generally follow an upward trend from left to right.There is a positive linear correlation, as the points tend to increase together.The points do not form a perfect straight line but rather scatter around a general positive trend.Therefore, the type of correlation shown in this scatterplot is Positive, Linear.
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Emilia went out to eat dinner, and the meal cost $20.00. If Emilia received a 30% discount, what was the total
value of the discount?
Answer:
The answer would be $12. You would need to change the 30% to 0.3 then multiply by $20. Then take the -$6 and subtract it by $20.
19. PLEASE HELPP !!Mel cleans houses.
She earns $7.50 every hour that she dusts.
She earns $10.00 every hour that she scrubs floors.
She scrubbed floors for 1 42 hours and dusted for 2 hours.
How much money did Mel earn?
PLEASE HELP !!
Answer:
1435.00
Step-by-step explanation:
dusted 2 hours. 15.00
Scrubbed floors 142 hours= 1420.00
Answer:
$30
Step-by-step explanation:
10$ x 1.5 (hours) = 15$ (the reason i did 1.5 is because she scrubbed for 1 and a half hours)
$7.50 x 2 (hours) = $15
$ 15 + $15 = 30
she earned $30 dollars
express √832 in the form 4n where n is the integral
We can express √832 as 4(2√13).
What is definite integral?A definite integral of a function can be represented as the signed area of the region bounded by its graph.
Given is the root of 832 or √832.
Assume that {4n} is equal to {y}. So, we can write -
y = 4n
Squaring both sides, we get -
y² = (4n)² = (√832)²
y² = 16n² = 832
16n² = 832
n² = (832/16)
n² = 52
n = √52
n = 2√13
So, we can write (√832) as 4(2√13).
Therefore, we can express √832 as 4(2√13).
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A peron invet 1000 dollar in a bank. The bank pay 5. 75% interet compounded monthly. To the nearet tenth of a year, how long mut the peron leave the money in the bank until it reache 2900 dollar?
The time required to reach the principal amount $1000 with rate of interest 5.75 compounded monthly to $2900 is equal to 18.6 years.
As given in the question,
Principal amount is equal to 'P' = 1000 dollars
Rate of interest compounded monthly 'r' = 5.75%
= 0.0575
Amount 'A'= 2900dollars
n = 12
't' be the time required to reach the amount 2900 dollars.
A = P( 1+ r/n)^nt
⇒t = ln(A/P) / n[ln(1 + r/n)]
⇒ t = ln ( 2900 / 1000) / 12{ ln ( 1+ 0.0575/12)}
⇒ t= ln(2,900.00/1,000.00) / ( 12 × {ln(1 + 0.0047916)}
⇒ t = 18.6 years ( approximately)
Therefore, the time required to reach the amount to 2900 dollars ar per given rate of interest and principal amount is equal to 18.6 years.
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suppose that ???? is a 3-by-3 matrix, and that {[ 1 0 5 ],[ 1 1 2 ]} is a basis for the nullspace of ????. find a nontrivial vector in the row space of a.
(a) The vector belongs to the row space of A and is nontrivial since it is not the zero vector.
(b) A is a 3-by-3 matrix and the basis for the nullspace has only 2 vectors, the rank of A is 3 (the maximum possible rank for a 3-by-3 matrix).
(c) A is invertible.
a. To find a nontrivial vector in the row space of A, we can take the transpose of the basis for the nullspace. Since the nullspace basis is given as {[1 0 5], [1 1 2]}, the nontrivial vector in the row space would be obtained by transposing one of these vectors. Let's choose the first vector [1 0 5] and take its transpose: [1, 0, 5]. This vector belongs to the row space of A and is nontrivial since it is not the zero vector.
b. The rank of a matrix is defined as the maximum number of linearly independent rows or columns. Since A is a 3-by-3 matrix and the basis for the nullspace has only 2 vectors, the rank of A is 3 (the maximum possible rank for a 3-by-3 matrix).
c. A matrix is invertible if and only if its rank is equal to its number of columns. In this case, since the rank of A is 3 and the number of columns is also 3, the rank condition for invertibility is satisfied. Therefore, A is invertible.
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I think it is the question :
Suppose that A is a 3-by-3 matrix, and that {[1 0 5 ] , [ 1 1 2 ]} is a basis for the nullspace of A. a. Find a nontrivial vector in the row space of A. b. What is the rank of A ? c. Is A invertible? Why or why not?
Here is the equation of a circle: x2 + y2 + 12x + 2y + 12 = 0
Find the center and radius of the circle.
Answer:
centre = (- 6, - 1 ) , radius = 5
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k ) are the coordinates of the centre and r is the radius
Given
x² + y² + 12x + 2y + 12= 0
Collect the x- terms and the y- terms together and subtract 12 from both sides
x² + 12x + y² + 2y = - 12
Using the method of completing the square
add ( half the coefficient of the x / y coefficients )² to both sides
x² + 2(6)x + 36 + y² + 2(1)y + 1 = - 12 + 36 + 1
(x + 6)² + (y + 1)² = 25 ← in standard form
with (h, k ) = - 6, - 1 ) as centre and r = \(\sqrt{25}\) = 5
what is the correct way to factor 3x^2-5x-2
Answer : x= -2
Step-by-step explanation:
=
1
3
=
−
2
The value of factor of the equation are,
⇒ (x - 2) (3x + 1)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The equation is,
⇒ 3x² - 5x - 2
Now, We can factor the expression as;
⇒ 3x² - 5x - 2
⇒ 3x² - (6 - 1)x - 2
⇒ 3x² - 6x + x - 2
⇒ 3x(x - 2) + 1 (x - 2)
⇒ (x - 2) (3x + 1)
Thus, The value of factor of the equation are,
⇒ (x - 2) (3x + 1)
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