Answer:
b(y-intercept) = 2
M (slope) = 3/-3
Step-by-step explanation:
Find the points and where the line intercepts or crosses the y-axis.
To find the slope, use the formula y2-y1/x2-x1
This would be: 4-1/-2-1
Slope is 3/-3, or simplify to 1
Therefore, M=3/-3 or 1
B= 2
(Pls help!!) Find the volume of each cylinder in terms of π. Which cylinder has the greatest volume? Cylinder A: diameter7 in., height12 in. Cylinder B: diameter12 in., height7 in.
Answer: Cylinder B has the greater volume
Step-by-step explanation:
Cylinder A= 147πinch cubed
Cylinder B=252π inch cubed
(if youre using savvas or something like that, use the pie symbol and it might work if youre having difficulties.)
I need help in this question pleeeease my teacher is going to shout at meeee.
Answer:
3 is the co-efficient of x and 2 is the constant.
Step-by-step explanation:
What is 9% converted to a fraction
Answer:
9/100
Step-by-step explanation: whatever percentage over 100 is the fraction of a percentage
Answer:
9/100
Step-by-step explanation:
Two angles which are on opposite sides of the transversal and between the parallel lines and do not share the same vertex. They are congruent.
Answer:
Interior angles are congruent.
Step-by-step explanation:
We see that angles 3,4,5,6 are between the two parallel lines . These angles are called interior angles.
Angles 3,6 are opposite and do not share the same vertex.
Similarly angles 4 and 5 do not share the same vertex.
They are congruent.
If we look closely we see that angles 3 &4 and angles 5&6 are supplementary angles.
i.e they together make up the 180 degrees on the straight line.
On the outer sides of the parallel lines angles 1&2 and angles 7 & 8 are exterior angles
which also make supplementary angles on the parallel lines.
From the diagram we see that
∠ 5= ∠7
and
∠6 = ∠ 8
as the corresponding angles are equal
∠8=∠3
∠7=∠4
As they are opposite angles
Similarly
∠1=∠6
∠2=∠5 ( opposite angles)
From above
∠5=∠7
but ∠7= ∠4
therefore
∠ 5= ∠4-----------------A
Also
∠6 = ∠ 8
but ∠8=∠3
therefore
∠6=∠8----------------------B
From An and B we conclude interior angles are congruent
математика срочно пожалуйста
Answer:
english pls :)
Step-by-step explanation:
in a certain company 120 of the employees are men. what is the total number of employees if 5 out of every 8 employees are men?
Answer:
There are 192 employees in the company.
Step-by-step explanation:
Let x be the total number of employees
Use ratio and proportion
\(\frac{120}{x} =\frac{5}{8} \\5x = 120(8)\\5x = 960\\\frac{5x}{5} = \frac{960}{5} \\x = 192\)
x = 192
Determine the CONTRAPOSITIVE of this statement: "An equilateral triangle has three congruent sides".
A) If a triangle is not equilateral, then it has no three congruent sides.
B) If it has three congruent sides, then a triangle is equilateral.
C) If it does not has three congruent sides, then a triangle is not equilateral.
D) If a triangle is equilateral, then it has three congruent sides.
The correct answer is D. The contrapositive of the statement "An equilateral triangle has three congruent sides" is "If a triangle does not have three congruent sides, then it is not equilateral."
This is equivalent to saying that if a triangle is equilateral, then it must have three congruent sides.
The other answer choices are not contrapositive because they do not negate the hypothesis and conclusion and switch their positions.
Remember that the contrapositive of a conditional statement switches and negates both the hypothesis and conclusion.
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Your realized income from your primary job is 2,034. 24/month. Your fixed expenses are 30% of your primary jobs realized income. You have a second job that pays $9. 50/hr with deductions of FICA (7. 65%), federal tax withhold (11. 5%), and a state tax withholding (7. 75%). If you want to save enough in the next 10 months to have an emergency fund that will cover 5 months using only 20% of your discretionary monies from your primary job, how many hours per month do you need to work at your second job to meet your monthly savings goal?
You need to work 84 hours per month at your second job to meet your monthly savings goal.
Fixed expenses = 2,034.24 x 30% = $610.72
Discretionary income = 2,034.24 - 610.72 = $1,423.52
Savings goal per month = $1,423.52 x 20% = $284.70
Net pay per hour = $9.50 - ($9.50 x 7.65%) - ($9.50 x 11.5%) - ($9.50 x 7.75%) = $7.33
Hours per month = $284.70 ÷ $7.33 = 84 hours.
To calculate, first find the number of your fixed expenses by multiplying your primary job income by 30%. This is $610.72. Then subtract your fixed expenses from your primary job income to find your discretionary income, which is $1,423.52. Multiply that by 20% to find the amount you want to save each month, which is $284.70.
Finally, divide that amount by your net pay per hour after taxes from your second job, which is $7.33, to find the number of hours you need to work, which is 84 hours.
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HELP. ONLY ANSWER QUESTION 4. THANKS
Answer:
A. x+30
B. x+35
Step-by-step explanation:
A. Daniel
Since "Daniel is 30 cm taller than Katie" and "Katie's height is x cm", the expression will be x+30
B. Juli (sorry I can't type the full name due to Brainly system)
Since "Juli is 5 cm taller than Daniel" and Daniel is (x+30) cm, the expression will be (x+30)+5=x+35
Imagine some DEQ: y'=f(x,y), which is not given in this exercise.
Use Euler integration to determine the next values of x and y, given the current values: x=2, y=8 and y'=9. The step size is delta_X= 5. 2 answers
Refer to the LT table. f(t)=6. Determine tNum,a,b and n. 4 answers
Using Euler integration, the next values of x and y can be determined as follows:
x_next = x_current + delta_X
y_next = y_current + delta_X * y'
What are the updated values of x and y using Euler integration?Euler integration is a numerical method used to approximate solutions to differential equations. It is based on the concept of dividing the interval into small steps and using the derivative at each step to calculate the next value. In this case, we are given the current values of x=2, y=8, and y'=9, with a step size of delta_X=5.
To determine the next values of x and y, we use the following formulas:
x_next = x_current + delta_X
y_next = y_current + delta_X * y'
Substituting the given values into the formulas, we have:
x_next = 2 + 5 = 7
y_next = 8 + 5 * 9 = 53
Therefore, the updated values of x and y using Euler integration are x=7 and y=53.
It's important to note that Euler integration provides an approximate solution and the accuracy depends on the chosen step size. Smaller step sizes generally lead to more accurate results. Other numerical methods, such as Runge-Kutta methods, may provide more accurate approximations.
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In parallelogram ABCD, diagonals AC and BD intersect at E. IF BE = 4x - 12 and DE = 2 x + 8, find s.
Given data
*BE = 4x - 12
*DE = 2x + 8
At the point of intersection AC and BD, "x" is exactly split into halves.
Therefore
\(DE=EB\)Substitute the values in the above expression as
\(\begin{gathered} 2x+8=4x-12 \\ 2x-4x=-12-8 \\ -2x=-20 \\ x=\frac{-20}{-2} \\ x=10 \end{gathered}\)Thus, the value of x equals to 10
many psychologists consider the distinguishing feature of adolescent thought to be ability to think in terms of ___.
Many psychologists consider the distinguishing feature of adolescent thought to be the ability to think in terms of abstract concepts or hypothetical situations.
During adolescence, individuals begin to develop more advanced cognitive abilities, including the capacity for abstract reasoning and hypothetical thinking.Abstract thinking involves understanding and manipulating ideas and concepts that are not directly tied to concrete objects or experiences. It allows adolescents to consider possibilities beyond immediate reality and to engage in complex reasoning, such as formulating and testing hypotheses or contemplating multiple perspectives.Hypothetical thinking, on the other hand, enables adolescents to mentally explore potential scenarios and outcomes. They can consider "what if" situations, contemplate alternative solutions to problems, and weigh the consequences of different choices.These cognitive abilities play a crucial role in adolescent development, facilitating problem-solving, decision-making, and the exploration of identity and future possibilities.
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when constructing a frequency distribution for quantitative data, it is important to remember that ________.
When constructing a frequency distribution for quantitative data, it is important to remember D. all of the above
What is the frequency distribution for quantitative data?A frequency histogram, or just histogram for short, is the graph of a frequency distribution for quantitative data. A histogram is a graph with the class boundaries on the horizontal axis and the frequencies on the vertical axis.
The different values and their frequencies are listed in a frequency distribution of qualitative data. We first divide the observations into Classes in order to arrange the quantitative data, and we then treat the Classes as the individual values of the quantitative data.
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missing part;
A. classes are mutually exclusive
B. classes are collectively exhaustive
C. the total number of classes usually ranges from 5 to 20
D. all of the above
L(6, -6), M (8, -3), N(3, 0), and O(1, -2) form quadrilateral LMINO. Plot the points
Answer:
Step-by-step explanation:
Certainly! Here's a plot of the points L(6, -6), M(8, -3), N(3, 0), and O(1, -2) forming the quadrilateral LMINO:
N (3, 0)
|
|
|
|
|
O (1, -2)
|
|
|
|
|
L (6, -6) M (8, -3)
Please note that the plot is not to scale and is only meant to provide a visual representation of the given points and the quadrilateral formed by connecting them.
3] Question 5 Consider the vector field F(x, y, z) = y cos (xy) i + x cos (xy)j – sin zk. (i) Calculate the curl of the vector field F. State whether F is conservative. (ii) Let C be the curve joining the origin (0,1,-1) to the point with coordinates (1, 2V2,2) defined by the following parametric curve r(t) = n* i + t}j + tcos atk, 15t52. Calculate the scalar line integral of the vector field. F. dr. F.dr.
Given vector field, F(x, y, z) = y cos (xy) i + x cos (xy) j – sin z k To calculate the curl of F, we need to take the curl of each component and subtract as follows,∇ × F = ( ∂Q/∂y - ∂P/∂z ) i + ( ∂P/∂z - ∂R/∂x ) j + ( ∂R/∂x - ∂Q/∂y ) k...where P = y cos(xy), Q = x cos(xy), R = -sin(z)
Now we calculate the partial derivatives as follows,
∂P/∂z = 0, ∂Q/∂y = cos(xy) - xy sin(xy), ∂R/∂x = 0...
and,
∂P/∂y = cos(xy) - xy sin(xy), ∂Q/∂z = 0, ∂R/∂y = 0
Therefore,
∇ × F = (cos(xy) - xy sin(xy)) i - sin(z)j
The curl of F is given by:
(cos(xy) - xy sin(xy)) i - sin(z)j.
To state whether F is conservative, we need to determine if it is a conservative field or not. This means that the curl of F should be zero for it to be conservative. The curl of F is not equal to zero. Hence, the vector field F is not conservative. Let C be the curve joining the origin (0,1,-1) to the point with coordinates (1, 2V2,2) defined by the following parametric curve:
r(t) = n* i + t}j + tcos atk, 15t52.
The curve C is defined as follows,r(t) = ni + tj + tk cos(at), 0 ≤ t ≤ 1Given vector field, F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk Using the curve parameterization, we get the line integral as follows,∫CF.dr = ∫10 F(r(t)).r'(t)dt...where r'(t) is the derivative of r(t) with respect to t
= ∫10 [(t cos(at))(cos(n t)) i + (n cos(nt))(cos(nt)) j + (-sin(tk cos(at)))(a sin(at)) k] . [i + j + a tk sin(at)] dt
= ∫10 [(t cos(at))(cos(n t)) + (n cos(nt))(cos(nt)) + (-a t sin(at) cos(tk))(a sin(at))] dt
= ∫10 [(t cos(at))(cos(n t)) + (n cos(nt))(cos(nt)) - a^2 (t/2) (sin(2at))] dt
= [sin(at) sin(nt) - (a/2) t^2 cos(2at)]0^1
= sin(a) sin(n) - (a/2) cos(2a)
The vector field F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk is given. Firstly, we need to calculate the curl of F. This involves taking the curl of each component of F and subtracting. After calculating the partial derivatives of each component, we get the curl of F as (cos(xy) - xy sin(xy)) i - sin(z)j. Next, we need to determine whether F is conservative. A conservative field has a curl equal to zero. As the curl of F is not equal to zero, it is not a conservative field. In the second part of the problem, we have to calculate the scalar line integral of the vector field F. dr along the curve C joining the origin to the point with coordinates (1, 2V2, 2). We use the curve parameterization to calculate the line integral. After simplifying the expression, we get the answer as sin(a) sin(n) - (a/2) cos(2a).
The curl of the given vector field F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk is (cos(xy) - xy sin(xy)) i - sin(z)j. F is not conservative as its curl is not zero. The scalar line integral of the vector field F along the curve C joining the origin to the point with coordinates (1, 2V2,2) is sin(a) sin(n) - (a/2) cos(2a).
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1. Howard's CD House sells new CDs for $15 each and used CDs for $6 each. Bre'anna bought 51 CDs and spent a
total of $576 on the CDs. If n represents the number of new CDs, and u represents the number of used CDs, how
many of each type of CD did she buy?
The numbers of new CDs is 30 and the old CDs is 21.
To solve this problem, we have to write a system of equations in which we would know the numbers of each types of CD she bought.
System of EquationsThis is used to solve a series or complex of word problems in which we can represent in a mathematical statements;
Let n represents numbers of new CDsLet u represents numbers of old CDsThe equations can be represented as
\(n + u = 51 ...equation(i)\\15n + 6u = 576 ... equation(ii)\)
Let's take equation (i)
Making n the subject of formula
\(n + u = 51\\n = 51 - u...equation(iii)\)
we can put equation (iii) into equation (ii)
\(15n + 6u =576\\n = 51 - u\\15(51 - u) + 6u = 576\\765-15u + 6u = 576\\collect like terms\\765-576=15u - 6u\\189=9u\\9u/9 = 189/9\\u = 21\)
Let's put the value of u into equation (i)
\(n + u = 51\\u = 21\\n + 21 = 51\\n = 51 - 21\\n = 30\)
From the calculations above, the numbers of new CDs is 30 and the old CDs is 21.
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.3 times the value of 8/4 of positive a witch equals the sum of what
a =34.55
Answer:
I have difficulty understanding the question. I read it as "What is the value of a number that when multiplied by 0.3 times (8/4) is equal to 34.55. This doesn't seem correct, but if it is:
Step-by-step explanation:
(0.3)*(8/4)x = 34.55
(8/4)x = 115.17
x = (4/8)*(115.17)
x = 57.58
21 is the correct answer.
i need help for this questinon
Answer:
A
Explaination: you are just rotating the rhombus
Answer:
a. Rhombus ABDC is congruent to rhombus A'B'C'D
Step-by-step explanation:
the area/angles of ABCD did not change after rotation(becoming A'B'C'D)
ASAP!! the density of some steel is 7.85g/cm3. what is the mass of 50g/cm3? give answer to 1 d.p
Answer:
D= M/V
7.85= M/50
M= 7.85 x 50
392.5 g
What is 19.5 - 15.43?
Answer:
4.07
Step-by-step explanation:
Answer:
The answer is 4.07-Incase you wanna make it easier multiply both the number by 100 you'll get 1950 and 1543 now substract them you'll get 407 and then devide 407 by hundred, you don't have to devide actually you've to just shift the decimal two digits!
Diedra has $20 to spend. Can she buy shorts that cost $18.50?
Answer:
yes she can
Step-by-step explanation:
yes she can because $20 is great than $18.50
Which sequence of transformations maps Figure A to Figure B?
4
Figure A
-20 2 4
G
2
ย
N
4
O A reflection across the x-axis, and then a translation 1 unit down and 1 unit left
Figure B
O A reflection across the y-axis, and then a translation 1 unit down and 1 unit left
O A reflection across the x-axis, and then a translation 2 units down and 1 unit left
O A 270" rotation about the origin, and then a translation 2 units down and 1 unit left
When the point N is dilated, the coordinate of N changes to N' ,the coordinate of point N is (8,12).
We have,
In arithmetic, a dilation may be a perform f from a mathematical space M into itself that satisfies the identity d=rd for all points x, y \in M, wherever d is that the distance from x to y and r is a few positive imaginary number.
Main body;
How to determine the coordinate of N
The given parameters are:
N' = (10,15)
k = 5/4
To calculate the coordinate of N, we make use of:
N * k = N'
So, we have:
N * 5/4 = (10,15)
Multiply both sides by 4
N * 5 = (40,60)
Divide both sides by 5
N = (8,12)
Hence, the coordinate of point N is (8,12)
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complete question:
Which correctly gives the center of dilation
and scale factor of the dilation below
a) dilated by a scale factor of 1/3 with
the origin as the center of dilation
b) reflection in the line y = -x
(x, y)-(-y, - x)
Directions: Graph and label each figure and its image under the sequence of transformations.
Give the coordinates of the image.
27. Rectangle PQRS with vertices P(-6, 9), Q(3, 6), R(0, -9), and S(-9, -6):
10,10
لهاشم
(-8,-1): 4-
B. (-8,-1);-
C. (0,-5): 4-
D. (0,-5);&-4
C
016-31
R. (20
5.16.9
P
26. N(-10, -15) is the image of N after a dilation
with a scale factor of 5/4, centered at the
origin. What are the coordinates of N
29. Which sequence of transformations will map PQ onto RS?
R
13
A. a 90° clockwise rotation about the origin,
then a reflection in the x-axis
B. a 180° rotation about the origin,
then a translation along the vector (2.2)
C. a reflection in the x-axis, then a
translation along the vector (2,6)
D. a translation along the vector (5.-2),
then a reflection in the x-axis
D.
A cattle farmer wants to save for his daughter's college tuition. He will have to pay P50,000 at the end of every year for the next four years that his daughter attends college. He has 8 years until his daughter starts college to save up for her tuition. Using a 7\% interest rate compounded annually, what is the amount the farmer would have to save every year for the 8 years?
Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.
Given:
Payment required at the end of each year: P50,000
Number of years until the daughter starts college: 8
Interest rate: 7% (compounded annually)
We can calculate the annual savings using the formula for the present value of an ordinary annuity:
P = \dfrac{PMT \times (1 - (1 + r)^{-n}{r}
Where:
P = Present value (amount to be saved annually)
PMT = Payment amount (P50,000)
r = Interest rate per period (7% or 0.07)
n = Number of periods (8)
Let's substitute the given values into the formula:
\[ P = \dfrac{50,000 \times (1 - (1 + 0.07)^{-8}{0.07} \]
Calculating this expression will give us the amount the farmer needs to save annually over the 8-year period.
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Use the distance formula to find the distance between each pair of points. round to the nearest tenth of neccessary.
Answer:
1). 4.2 2). 7.65 3). 14.14
Step-by-step explanation:
1). √(y2 - y1)² + (x2 - x1)²
√[-1 - (-4)]² + [-3 - (-6)]²
√(3)² + (3)²
√9 + 9
√18
= 4.2
2). √(2.5 - 1)² + ( -4 - 3.5)²
√(1.5)² + (-7.5)²
√(2.25) + (56.25)
√58.5
= 7.65
3).√(5 - (-5)² + (-5-5)²
√(10)² + (-10)²
√(100) + (100)
√200
= 14.14
Use the figure below to answer the following questions.
What is mZ4?
Answer:
100º
Step-by-step explanation:
Find angle3 which is 80º
All lines are 180º
which means angle3+ angle4 is 180º
180º - 80º
= 100º
Answer: B. 100°
Step-by-step explanation:
Since triangles contain angles that add up to 180°, angles 3 is 80°. Since Straight Angles are 180°, it means that angle 4 is 180-80, which equals 100°.
If 25⋅26=n, then which division equation is also true?
n÷26=25
26÷25=n
25÷n=26
25÷26=n
9514 1404 393
Answer:
n÷26=25
Step-by-step explanation:
Starting with the equation ...
25·26 = n
you can divide both sides of it by 26 to get ...
25 = n ÷ 26 . . . . matches choice A
NEED ASAP!!!
Line m has the equation y= 2/3 (x) - 3 . Line n has the points given in the table to the right. Holly says the two lines have the same slope. Is Holly correct?
A. Yes, they both have a slope of .
B. Yes, they both have a slope of -3.
C. No, the slope of line m is and the slope of line n is .
D. No, the slope of line m is -3 and the slope of line n is .
Answer: A) Yes, they both have a slope of 2/3
=============================================================
Explanation:
The equation y = (2/3)x - 3 has slope 2/3 since it is the coefficient of x
The coefficient is the number to the left of the variable.
-------------------------------------
Now let's pull two points from the table.
Pick any two points you want. I'll pick the last two rows to get the two points (4,2) and (13,8)
Subtract the y values to get 8-2 = 6
Subtract the x values in the same order: 13-4 = 9
Divide the differences:
slope = rise/run
slope = (change in y)/(change in x)
slope = 6/9
slope = 2/3
We get the same slope as before. Holly is correct.
What is an angle with 3 acute angles?
Three straight sides and three angles make up the shape of a triangle. The angles of a triangle can either be acute, right, or obtuse. An angle with three acute angles is a triangle where all three angles measure less than 90 degrees.
A triangle is a three-sided shape with three angles. The sum of the internal angles of a triangle is always 180 degrees. An angle is the amount of turn or change in direction between two lines. There are three types of angles, acute, right and obtuse. An acute angle is an angle which measures less than 90 degrees. A right angle is an angle which measures exactly 90 degrees, and an obtuse angle is an angle which measures more than 90 degrees. Therefore, an angle with three acute angles is a triangle where all three angles measure less than 90 degrees. A triangle with three acute angles is also known as an acute triangle. All three angles must add up to 180 degrees, so the measure of each angle must be less than 60 degrees.
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FMECA is a bottom-up (Hardware) or top-down (Functional) approach to risk assessment. It is inductive, or data-driven, linking elements of a failure chain as follows: Effect of Failure, Failure Mode and Causes/ Mechanisms. These elements closely resemble the modern 5 Why technique. Thus answer: To estimate reliability of software, most software prediction models use probability density function to predict, choose one Group of answer choices Mean time between failures Consensus of the team Number of failures observed in each test interval Mean time to failurel
FMECA is a bottom-up hardware approach to risk assessment. It is an inductive, or data-driven, linking elements of a failure chain as follows: Effect of Failure, Failure Mode, and Causes/Mechanisms. To estimate the reliability of software, most software prediction models use the probability density function to predict "Mean Time To Failure."
FMECA is a systematic and structured analytical methodology used to identify potential failures in a system, equipment, process, or product, and to assess the effect and probability of those failures. FMECA stands for Failure Modes, Effects, and Criticality Analysis. FMECA is similar to FMEA (Failure Modes and Effects Analysis) in that it is used to identify failure modes and assess their risk.
However, FMECA goes beyond FMEA by analyzing the criticality of each failure mode. This makes it an effective tool for identifying the most significant failure modes and prioritizing them for corrective action. A Probability Density Function (PDF) is a function that describes the likelihood of a random variable taking on a particular value.
PDF is used in software prediction models to estimate the reliability of software by predicting "Mean Time To Failure" (MTTF). MTTF is the average time between failures of a system, equipment, process, or product.
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Melissa ate 1/2 of her salad for lunch and ate 4/9 of he salad for dinner. How much of her salad did she eat?
Answer:
17/18
Step-by-step explanation:
We know
Melissa ate 1/2 of her salad for lunch and ate 4/9 of the salad for dinner.
How much of her salad did she eat?
We take
1/2 + 4/9 = 9/18 + 8/18 = 17/18
So, Melissa ate 17/18 of her salad.