The length AB is 26 units.
The length BC is 2 units
The angle D is 115 degrees.
How to find the side and angles of a parallelogram?A parallelogram is a quadrilateral with 2 sides opposite to each other. The
sum of angles in a parallelogram is 360 degrees.
Therefore,
4w - 2 = 3w - 1
4w - 3w = -1 + 2
w = 1
Hence,
4x - 2 = 3x + 5
4x - 3x = 5 + 2
x = 7
Therefore, adjacent angle of a quadrilateral is supplementary.
Hence,
2y - 9 + y + 3 = 180
3y - 6 = 180
y = 186 / 3
y = 62
Therefore,
AB = 4(7) - 2 = 28 - 2 = 26 units
BC = 3w - 1 = 3(1) - 1 = 2 units
m∠D = 2y - 9 = 2(62) - 9 = 115 degrees
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If you had 39/12 dollars, how much money would that be in dollars and cents?
Answer:
$3.25
Step-by-step explanation:
what you do is divide 39 into 12 and that gives you 3.25 which is the answer!
Please help me, thank you :)
Answer:
14+14 + 4pi= 28 + 4pi
\(\pi\)
PLEASE HELPPPP
ILL GIVE YOU BRAI
Answer:
1. x = 12
2. x = 4
3. x = 8
4. x = 6 or -6
5. No solution
Step-by-step explanation:
In the isosceles triangle ABC
AB=AC
angle B = (3x 32)º
angle C =(87-2x)"
Work out the value
of x.
Answer:
x = 4.5
Step-by-step explanation:
Angle B = angle C because it is an isosceles triangle.
3x32 = 87-2x
96 = 87-2x
reduce:
9 = 2x
x = 4.5
An isosceles triangle is one with two equal-length sides. The value of x is 11.
What is an isosceles triangle?An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.
Since in an isosceles triangle, the angle made by the equal sides and the base are equal, therefore, we can write,
∠B = ∠C
3x + 32 = 87 - 2x
3x + 2x = 87 - 32
5x = 55
x = 11
Hence, the value of x is 11.
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A shirt that cost 60 dollars is now on sale for 30% off what is the value of the discount? Using the answer you found to find the difference between the original price and the amount of the discount
Answer:
you $42 and your saving $18
Step-by-step explanation:
Answer:
$42 would be the cost of the shirt after the discount. The difference between the price of the shirt before the discount, and after is $18.
Step-by-step explanation:
If you divide 60 by 100, you would get the value for 1% of $60. If you multiply that number by the discount amount, you get the amount that is going to be subtracted from the cost when the discount is applied.
60 / 100 = 0.6
0.6 x 30 = 18 (This is the difference)
60 - 18 = 42 (This is the value after the discount)
Thus the value after the discount is $42, and he difference between the 2 values is $18.
Is reflection congruent or similar?
A reflection preserves the size and shape of the prior original image, acting as a congruence transition.
What is reflection?A reflection in mathematics is a mapping from a Euclidean space to itself that is an isometry with a set of fixed points known as the hyperplane, also known as the axis or plane of reflection.
The mirror image of a figure in the axis or plane of reflection is the image produced by a reflection.
A reflection keeps the pre-original image's size and shape, making it a congruent transition.
A figure that has been flipped over a line of reflection is a reflection.
The position of the x- and y-coordinates simply changes in a reflection across the line y = x.
Consider the case when the point (6, 7) is reflected across the line y = x. The reflected point's coordinates are (7, 6).
Therefore, a reflection preserves the size and shape of the prior original image, acting as a congruence transition.
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Suppose f(x) and f'(x) are continuous but restricted to the interval 0 < x < 20, and assume the values of f'(a) are as shown. For each value, determine whether there is a local maximum, local minimum, or nothing. 2 0 5 10 15 20 f'(x) 520-95 < At x = 0, you guarantee Select an answer > At x = 5, you guarantee Select an answer At x = 10, you guarantee Select an answer At x = 15, you guarantee Select an answer At x = 20, you guarantee Select an answer
To determine whether there is a local maximum, local minimum, or nothing at each point, we need to use the first derivative test.
If f'(x) changes sign from positive to negative at a point, then we have a local maximum at that point. If f'(x) changes sign from negative to positive at a point, then we have a local minimum at that point. If f'(x) does not change sign at a point, then we have nothing at that point.
Using this information and the given values of f'(a), we can determine the answers for each point:
- At x = 0, f'(x) = 2. Since f'(x) is positive but does not change sign, we have nothing at x = 0.
- At x = 5, f'(x) = 0. Since f'(x) is zero, we have nothing at x = 5.
- At x = 10, f'(x) = 5. Since f'(x) is positive but does not change sign, we have nothing at x = 10.
- At x = 15, f'(x) = -9.5. Since f'(x) is negative and changes sign from positive to negative, we have a local maximum at x = 15.
- At x = 20, f'(x) = 0. Since f'(x) is zero, we have nothing at x = 20.
Therefore, the answers are:
- At x = 0, there is nothing.
- At x = 5, there is nothing.
- At x = 10, there is nothing.
- At x = 15, there is a local maximum.
- At x = 20, there is nothing.
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The lines graphed below are perpendicular. The slope of the red line is 4. What is the slope of the green line?
Answer:it's c
Step-by-step explanation:
It's - -1/4
Answer:
-1/4
Step-by-step explanation:
just did it
Please help‼️ domain and range‼️
The domain and the range of the function are (-∝, ∝) and (0, ∝), respectively
Calculating the domain and range of the graph?From the question, we have the following parameters that can be used in our computation:
The graph
The above graph is an exponential function
The rule of an function is that
The domain is the set of all real values
In this case, the domain is (-∝, ∝)
For the range, we have
Range = (0, ∝)
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For n = 2d2- 5 when d = -2, what does n equal?
-13
Step-by-step explanation:
n=2×-2×2-5
n= -4×2-5
n= -8-5
n=-13
Which of the statements is true?
a) the diagonals of a
kite are
perpendicular
b) a kite has two pairs
of congruent angles
c) a kite has
congruent opposite
sides
d) all angles are
congruent
pls help fast
Answer:
pretty sure its A cuz of the 4 90° thing.
HELP ASAP EXTRA POINTS AND BRAINLIEST!!!
Answer:B
Step-by-step explanation:
Answer:
f(x) = x + 3, x < 0
3, x ≥ 0
Step-by-step explanation:
The is a piecewise function: the slanted line has a y-intercept of 3, a slope of 1, and is only shown when x < 0.
The horizontal line has a y-intercept of 3, a slope of 0, and is shown when x ≥ 0.
can someone please me?
Answer:
Its B. "x" is all real numbers. Happens in any case that the line is horizontal. Hope this helps!
If you answer can you also explain why.
this is not a fair method, as we found at least two different probabilities.
Is this a fair method to determine who has to sit out?
We will say that this is a fair method if and only if the probability for each of the 7 friends is exactly the same.
So, each friend selects a number from 1 through 7 and then it repeats, so, this means that the person who selects the number 1 has the possible outcomes:
{1, 8, 15, 22, 29, 36, 43, 50}
While the person who gets the number 7, has the possible outcomes:
{7, 14, 21, 28, 35, 42, 49}
Now, notice that the person who got the number 1 has 8 outcomes in which he sits out.
While the person who got the number 7 has 7 outcomes in which he sits out.
So, the person with the number 1 has a larger probability of sitting out than the person with the number 7, thus, this is not a fair method, as we found at least two different probabilities.
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4. An organizational psychologist measures levels of job satisfaction in a sample of 30 participants. To
measure the variance of job satisfaction, it is calculated that the SS = 120 for this sample.
a. What are the degrees of freedom for the variance?
n= Degrees of Freedom (df): value - 1
The degrees of freedom of an estimate of variance is equal to N-1
The "N" refers to the number of observations
Formula:
1) Sample size of N = 30 / Value or SS/n = variance
2) SS = 120/30 = 4 (df)
3) 30-1= 29 degrees of freedom
The question is incomplete. Here is the complete question.
A organizational psychologist measures levels of job satisfaction in a sample of 30 participants. To measure the variance of job satisfaction, it is calculated that the SS = 120 for this sample.
What are the degrees of freedom for the variance?
Compute the variance and standard deviation.
Answer: Degrees of freedom = 29
Variance = 4.138
Standard Deviation = 2.034
Step-by-step explanation: Degrees of freedom is a number of values in calculation of statistics that are free to vary, i.e., in how many ways a system can move independently. To determine it:
df = n - 1
which n is the quantity of the sample or population
For this sample: df = 30 - 1 = 29
The degrees of freedom is 29.
SS is the sum of the squared deviation, i.e., ∑(x - mean)².
Variance is calculated as:
variance = ∑(x - mean)² / n - 1 = SS / n - 1
variance = \(\frac{120}{29}\)
variance = 4.138
Standard deviation is the spread from the mean and is the square root of variance:
standard deviation = \(\sqrt{variance}\)
standard deviation = \(\sqrt{4.138}\)
standard deviation = 2.034
Write an algebraic expression yo find the number of seconds in n minutes
Answer:
60n seconds
Step-by-step explanation:
In 1 min, there are 60 seconds
So,
1 min = 60 secs
For n minutes, it becomes:
=> 60n seconds
pls help asap if you can!!!!
The statement that proves that angle XWY is equal to angle ZYW is
A. If two parallels are cut by a transverse, then alternate interior angles are congruent
What are alternate interior anglesAlternate interior angles are a pair of angles that are formed on opposite sides of a transversal line when two parallel lines are intersected by the transversal.
When a transversal intersects two parallel lines, it creates eight angles. Among these angles, the alternate interior angles are located on the inside of the parallel lines and on opposite sides of the transversal.
In a parallelogram, the two opposite sides are parallel to each other hence the line crossing them will lead to formation of alternate interior angles
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bonsoir aider moi plus vite possible
3+?=0
Answer: -3
Step-by-step explanation: 3-3=0
Answer:
-3Step-by-step explanation:
bonsoir aider moi plus vite possible
3+?=0
3 + x = 0
x = -3
HELP 45 POINTS!! FIRST CORRECT ANSWER GETS BRAINLIEST
7. Nabuko wants to construct a mobile out of flat triangles so that the surfaces of the triangles hang parallel to the floor when the mobile is suspended. How can Nabuko be certain that she hangs the triangles to achieve this effect?
a. She needs to hang each triangle from its center of gravity or centroid, which is the point at which the three medians of the triangle intersect.
b. She needs to hang each triangle from its center of gravity or orthocenter, which is the point at which the three medians of the triangle intersect.
c. She needs to hang each triangle from its center of gravity or centroid, which is the point at which the three altitudes of the triangle intersect.
d. She needs to hang each triangle from its center of gravity or orthocenter, which is the point at which the three altitudes of the triangle intersect.
Answer:
a. She needs to hang each triangle from its center of gravity or centroid, which is the point at which the three medians of the triangle intersect.Step-by-step explanation:
Medians meet at a centroid of the triangle. The centroid is the triangle's center of gravity.Subtract --4x2 + 3x - 7 from 8x2 + 2x - 3
Answer:
23
Steps ig
((8x2) +2x(-3)))-(((-(-4)) x 2) +( 3 x( -7)) =23
given that p ^ q is true what can you conclude about the truth values of p and q
If "p ^ q" conjunction (logical AND) is true, it implies either both p and q condition are true or the truth value of p is unknown while q is true.
If the statement "p ^ q" is true, we can conclude the following about the truth values of p and q:
Both p and q are true: If both p and q are true, then the conjunction (logical AND) of p and q, denoted as "p ^ q," will also be true.
This is because for the conjunction to be true, both p and q must be true.
The truth value of p is unknown, and q is true: In some cases, the truth value of p may be unknown or unspecified, but if q is true, then the conjunction "p ^ q" will still be true.
This is because the truth value of p does not affect the outcome when q is true.
In summary, if "p ^ q" is true, it implies either both p and q are true or the truth value of p is unknown while q is true .
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Suppose that there are two assets that are available for investment and an investor has the following expected utility:
EU = E(Rp) − 0.5A(\sigma)2p
where expected return and standard deviation are expressed in decimals. For example, if expected return is 25%, standard deviation is 15%, and risk aversion is 5, expected utility is computed as:
EU =0.25−0.5*5*0.152 =0.1938
Now, assume that there is no other instrument (such as the risk-free security) available. Then, derive the analytical expressions for the optimal portfolio weights of the first and the second assets for this specific investor. (Hint: We are not talking about a numerical response here. Rather, you are asked to derive mathematically how you would compute for the optimal portfolio.)
To derive the analytical expressions for the optimal portfolio weights of the first and second assets, we need to maximize the expected utility function.
Let's assume the weights of the first and second assets are denoted by w1 and w2, respectively. Since there is no risk-free security available, the sum of weights must be equal to 1: w1 + w2 = 1.
To find the optimal portfolio weights, we need to maximize the expected utility function with respect to w1 and w2. This can be done using optimization techniques, such as Lagrange multipliers or calculus.
We can start by taking the derivative of the expected utility function with respect to w1 and set it equal to zero to find the critical points. Similarly, we take the derivative with respect to w2 and set it equal to zero.
Next, we solve these equations to find the values of w1 and w2 that satisfy the equations. These values will give us the optimal portfolio weights for the first and second assets.
Ihe analytical expressions for the optimal portfolio weights of the first and second assets can be derived by maximizing the expected utility function and solving the resulting equations.
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Bob has a coin cup with four $1 tokens and two $5 tokens in it. He also has two $10 tokens and one $25 token in his pocket. He
randomly draws a token from the cup, and then randomly draws a token from his pocket. What is the probability that he will draw
$30 in tokens?
A. 1/3
B. 1/9
C. 2/9
D. 4/9
Answer:
;-;
There is no 30$ tokens
Step-by-step explanation:
i guess its A or b
like the heck
Answer:
n[$1]=4
n[$5]=2
n[$10]=2
n[$15]=1
n[total]=9
getting 10=2/9
Randy ran 13/4 miles on Monday and 2 2/4 miles on Tuesday. How far did
Randy run on both days?
Answer:
The answer is 5 3/4
Step-by-step explanation:
13/4 = 3 1/4
3 1/4 + 2 2/4 = 5 3/4
Hope this helped you!
On the number line below, what is the sum of the two points marked with red?
Answer:0
Step-by-step explanation:
One point is at -18, and the other is at 18. However, when we add -18 and 18 together, the result is 0, because they cancel each other out.
Answer:
0
Step-by-step explanation:
Find area of a pentagon polygon with a raduis of 10mm
Answer: Area of regular polygon =
2
perimeter×apothem
Perimeter = number of sides × side length = 5×10 =50 cm
So, Area =
2
50×10
Area = 250 cm
2
Step-by-step explanation:
A normal population has mean μ= 34 and standard deviation σ= 10.(a) What proportion of the population is between 10 and 20?(b) What is the probability that a randomly chosen value will be between 28 and 38?
After considering the given data we conclude that the answers to the sub questions are
a) the proportion of the population between 10 and 20 is approximately 0.0808.
b) the probability Of randomly selecting the value that will be between 28 and 38 is approximately 0.4251.
a) To find the proportion of the population between 10 and 20, we need to calculate the z-scores for these values and use a standard normal distribution table or calculator to find the corresponding probabilities. The z-score for 10 is:
\(z = (10 - 34) / 10 = -2.4\)
The z-score for 20 is:
\(z = (20 - 34) / 10 = -1.4\)
Using a standard normal distribution table or calculator, we can find that the probability of a z-score between -2.4 and -1.4 is approximately 0.0808.
Therefore, the proportion of the population between 10 and 20 is approximately 0.0808.
b) To find the probability that a randomly chosen value will be between 28 and 38, we can use the same method as in part (a). The z-score for 28 is:
\(z = (28 - 34) / 10 = -0.6\)
The z-score for 38 is:
\(z = (38 - 34) / 10 = 0.4\)
Using a standard normal distribution table or calculator, we can find that the probability of a z-score between -0.6 and 0.4 is approximately 0.4251.
Therefore, the probability that a randomly chosen value will be between 28 and 38 is approximately 0.4251.
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d/dx(pu δ) = d/dx (rd δ/dx)
Integrate the 1D steady state convection diffusion equation over a typical cell. Use the nomenclature from class.
The first term on the left-hand side represents the flux of the quantity D(pu δ) across the cell boundaries, and the second term represents the change of this flux within the cell.
To integrate the 1D steady-state convection-diffusion equation over a typical cell, we can start with the given equation:
D/dx(pu δ) = d/dx (rd δ/dx)
Here, D is the diffusion coefficient, p is the velocity, r is the reaction term, u is the concentration, and δ represents the Dirac delta function.
To integrate this equation over a typical cell, we need to define the limits of the cell. Let's assume the cell extends from x_i to x_i+1, where x_i and x_i+1 are the boundaries of the cell.
Integrating the left-hand side of the equation over the cell, we have:
∫[x_i to x_i+1] D/dx(pu δ) dx = D∫[x_i to x_i+1] d(pu δ)/dx dx
Using the integration by parts technique, the integral can be written as:
= [D(pu δ)]_[x_i to x_i+1] - ∫[x_i to x_i+1] d(D(pu δ))/dx dx
Similarly, integrating the right-hand side of the equation over the cell, we have:
∫[x_i to x_i+1] d/dx (rd δ/dx) dx = [rd δ/dx]_[x_i to x_i+1]
Combining the integrals, we get:
[D(pu δ)][x_i to x_i+1] - ∫[x_i to x_i+1] d(D(pu δ))/dx dx = [rd δ/dx][x_i to x_i+1]
This equation can be further simplified and manipulated using appropriate boundary conditions and assumptions based on the specific problem at hand.
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Which inequality represents all the solutions of -2(3x + 6) ≥ 4(x + 7)?
The inequality that represents all the solutions of -2(3x + 6) ≥ 4(x + 7) is x ≤ -4
How to determine the solution of the inequality?From the question, we have the following parameters that can be used in our computation:
-2(3x + 6) ≥ 4(x + 7)
Divide both sides of the inequality by -2
So, we have the following representation
3x + 6 ≤ -2(x + 7)
Open the brackets
This gives
3x + 6 ≤ -2x - 14
Add 2x to both sides of the inequality
So, we have the following representations
5x + 6 ≤ -14
Subtract 6 from both sides of the inequality
So, we have the following representations
5x ≤ -20
Divide both side of the inequality
x ≤ -4
Hence, the solution is x ≤ -4
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Which relationship has a zero slope? A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5) A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).
Answer:y =3 x=1 hope this helps :)
Step-by-step explanation: