find the product of (3/-2n) and (4/+2n)
Answer:
\((\frac{12}{-4n^{2}})\)
Step-by-step explanation:
\((\frac{3}{-2n})(\frac{4}{2n})=(\frac{3*4}{-2n*2n})=(\frac{12}{-4n^{2}})\)
Answer:
\( -\dfrac{3}{n^2} \)
Step-by-step explanation:
\( \dfrac{3}{-2n} \times \dfrac{4}{+2n} = \)
\( = \dfrac{3 \times 4}{-2n \times 2n} \)
\( = \dfrac{12}{-4n^2} \)
\( = -\dfrac{3}{n^2} \)
Q 10). In the adjoining figure if x:y:z = 2:3:4, then find the value of z and p.
Step-by-step explanation:
Given :-In the adjacent figure, x:y:z = 2:3:4
To find :-Find the value of z and p ?
Solution :-Given that
In the adjacent figure, x:y:z = 2:3:4
Let x = 2a°
Let y = 3a°
Let z = 4a°
From the given figure,
x ,y and z are the angles on the same line
=> x + y + z = 180°
=> 2a° + 3a° + 4a° = 180°
=> 9a° = 180°
=> a° = 180°/9
=> a° = 20°
Therefore, a = 20°
Now
x = 2a° = 2×20° = 40°
y = 3a° = 3×20° = 60°
z = 4a° = 4×20° = 80°
and
x and p are linear pair
=> x + p = 180°
=> 40°+p = 180°
=> p = 180°-40°
=> p = 140°
Therefore, p = 140°
Answer :-The value of z = 80°
The value of p = 140°
Used formulae:-
→ The sum of all angles lie on the same line is 180°
→ The sum of two adjacent angles is 180° are called Linear pair..
In triangle ABC AB is equals to AB and Angle B equal to 80 find the angle A
Answer:
∠A = 20°
Step-by-step explanation:
Given:
Line AB equal to line AC
So, we can say that;
∠B = ∠C
So
∠B = ∠C = 80°
Using angle sum rule
∠A + ∠B + ∠C = 180°
∠A + 80° + 80° = 180°
∠A = 20°
Combine Like Terms
22+15x=34-17x
Step-by-step explanation:
22+15x=34-17x
So now, the 34 will join the 22 and the 15x will join the -17x
22-34=-17x-15x
-12=-2x
So now, we divide both sides by -2x
and the negative will cancel negative so
x=6
Algebra 1. 5(x + 6) – 2x = 3(x + 10)
Answer:
your answer is 3x+30=3x+30 so they are the same
Step-by-step explanation:
Angle C is an acute angle with sec 5/9 and cot 5/56. What are the values of and ?
The values of tanC and cosC are tanC = 56/5 and cosC =9/5.
What are the trigonometric identities?Equations using trigonometric functions that hold true for all possible values of the variables are known as trigonometric identities.
Given:
Angle C is an acute angle with secC = 5/9.
And cotC = 5/56.
To find the value of cos and tan:
We know that,
1/sec(x) = cos(x)
And 1/cot(x) = tan(x).
Here,
secC = 5/9.
1/secC = 9/5
cosC =9/5
And cotC = 5/56.
1/cotC = 56/5
So, tanC = 56/5
Therefore, tanC = 56/5 and cosC =9/5.
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The complete question;
in which quadrant does angle theta lie if csc theta <0 and cot theta<0?
Answer:
Quadrant IV (4)
Step-by-step explanation:
I did the test and the other person was wrong.
The quadrant in which angle theta lie if csc theta < 0 and cot theta < 0 exists Quadrant IV (4).
What is meant by Trigonometric Identities?Trigonometric Identities are equality conditions that hold for all possible values of the variables in the equation and use trigonometry functions. There exists numerous unique trigonometric identities that relate a triangle's side length and angle.
Sine, cosine, and tangent are the fundamental three operations in trigonometry. The cotangent, secant, and cosecant functions are derived from these three basic functions. On these functions, all trigonometrical notions exists built.
Trigonometric identities are equality conditions in trigonometry that hold for all values of the variables that appear and are defined on both sides of the equivalence. These exists identities that, geometrically speaking, involve certain functions of one or more angles.
The quadrant in which angle theta lie if csc theta < 0 and cot theta < 0 exists Quadrant IV (4).
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The space shuttle carries c pounds of cargo, and each piece of cargo weighs 212.66 pounds. Which of the following expressions represents the number of pieces of cargo?
Answer:
The answer would be B. c ÷ 158.14
Step-by-step explanation:
i just took this test :) the question was:
The space shuttle carries c pounds of cargo, and each piece of cargo weighs 158.14 pounds. Which of the following expressions represents the number of pieces of cargo The space shuttle carries c pounds of cargo, and each piece of cargo weighs 158.14 pounds? Which of the following expressions represents the number of pieces of cargo?
A. c × 158.14
B. c ÷ 158.14
C. c - 158.14
D. c + 158.14
Determine if triangle GHI and triangle JKL are or are not similar, and, if they are, state how you know. (Note that figures are NOT necessarily drawn to scale.)
Answer:
Given triangles are similar
Step-by-step explanation:
We can tell that given triangles are similar by comparing their side lengths.
HG is proportional to KJ
GI is proportional to JL
IH is proportional to LK
we can see the proportion better if we write it like this:
25/75 = 1/3
30/90 = 1/3
19/57 = 1/3
Figure A is dilated with scale factor r=3 to create figure A′ .
Answer:
r=3 to dilation
Step-by-step explanation:
([[[[[[[[[[[[[[[[[[[[[[[[[[[[[[[]]]]]]]]]]]]]]]]]]]]]]]]]]]])
A certain school has 120 teachers. If this constitutes 30% of its workforce, find the number of employees in the school.
Answer:
400 employees
Step-by-step explanation:
Let the total no. of employees be x
From the information we get that,
30% of x= 120
Hence, 30/100x=120
x=120×100/30
x=400
The price of a box of dozen Krispy Kreme donuts is $8. 99. Find the cost of 4 donuts?
The cost of 4 donuts is $2.96
What is unitary method?
The unitary method is a method in which you find the value of a unit and then the value of a required number of units.
For simplification, always write the things to be calculated on the right-hand side and things known on the left-hand side.
According to the given question:
The price of a box of dozen Krispy Kreme donuts is $8. 99.
12 donuts costs $8.99
1 donut costs 8.99/12 = $0.74
Therefore we can find the cost of 4 donuts by multiplying the cost of 1 donut
4 x 0.74 = $2.96
The cost of 4 donuts is $2.96
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when the angle of an incline with a block resting on it increases the normal support force? A) decreases B) increases C) stays the same
Answer:
normal force decreases
Step-by-step explanation:
N=mgcosθ, and cosine decreases as theta increases
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Answer:
A) decreases
Step-by-step explanation:
As the angle of the incline increases, the normal force decreases, which decreases the frictional force. The incline can be raised until the object just begins to slide.
What number makes the number sentence true?
9x5x2 = 9x
Answer:
x=0, 1/10
Step-by-step explanation: hope I helped
I was confused on your question, but what I did was solved for x.
In circle I, IJ=4 and mJIK∠=90∘ Find the area of shaded sector. Express your answer as a fraction times π.
The area of the shaded sector is 4π square units.
To find the area of the shaded sector, we need to calculate the central angle formed by the sector. In this case, we are given that the angle JIK is 90 degrees, which means it forms a quarter of a full circle.
Since a full circle has 360 degrees, the central angle of the shaded sector is 90 degrees.
Next, we need to determine the radius of the circle. The line segment IJ represents the radius of the circle, and it is given as 4 units.
The formula to calculate the area of a sector is A = (θ/360) * π * r², where θ is the central angle and r is the radius of the circle.
Plugging in the values, we have A = (90/360) * π * 4².
Simplifying, A = (1/4) * π * 16.
Further simplifying, A = (1/4) * π * 16.
Canceling out the common factors, A = π * 4.
Hence, the area of the shaded sector is 4π square units.
Therefore, the area of the shaded sector, expressed as a fraction times π, is 4π/1.
In summary, the area of the shaded sector is 4π square units, or 4π/1 when expressed as a fraction times π.
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Classify each as an ordinary differential equation (ODE) or a partial differential equation (PDE), give the order, and indicate the independent and dependent variables. If the equation is an ordinary differential equation, indicate whether the equation is linear or nonlinear.
The variable or factors that the unknown function depends on are referred to as the independent variables.
What is dependent variable?Everything that track in the study and what is impacted by it are both considered dependent variables. Depending on the independent variable, the dependent variable will change. Because it "depends" on the independent variable, it is known as a dependent variable. The dependent variable on other measurable variables As a result of an experimental modification of the independent variable or variables, these variables should change.
The amount of study one did, how much sleep one got the night before the test, or even how hungry he or she were can all affect your test result, which makes it a dependent variable. As an example, the test score might be a dependent variable.
Differential equations that have a constant power of one are known as linear differential equations.
A linear ordinary differential equation is what the given differential equation is.
The highest derivative that appears in the connection determines the order of a differential equation.
Consequently, the differential equation has an order of 1.
The variable or factors that the unknown function depends on are referred to as the independent variables.
As a result, in the above differential equation, t is independent and p is dependent variable.
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The complete question is as follows:
which best describes the relationship between the 125 angle and angle a
Answer:
They are same side interior angles. Angle A measures 55°.
Step-by-step explanation:
Sohan the toy shop on the two tricycles at the same price each one was sold for 2200 on the one he made a profit of 10% and on the other he lost 12% what was the cost of each of the cycle
Please answer the question... I need the answer
Answer:
Step-by-step explanation:
cp of first tricycle=100/(P%+100)*sp
cp=100/10+100*2200
=100/110*2200
CP=Rs 2000
Cp of second tricycle=100/(100-L%)*SP
=100/100-12*2200
100/88*2200
CP=2500
Thanks for the question
I need help, i don't understand
Answer:
Step-by-step explanation:
the sum of the angles is 360 degrees
you have 3 angles equal to 91
91*3=273
360-273=87
87/3=29
the angle g, or d, is 29
cherry-picking is one way to present statistics ethically.
No, cherry-picking is not a way to present statistics ethically. Ethical statistical analysis requires a comprehensive and unbiased approach to data presentation.
Cherry-picking refers to selectively choosing data or information that supports a particular viewpoint while disregarding contradictory or less favorable data. This practice distorts the overall picture and can lead to misleading or deceptive conclusions.
Presenting statistics ethically involves using a systematic and transparent approach that includes all relevant data. It requires providing context, disclosing any limitations or biases in the data, and accurately representing the full range of results. Ethical statistical analysis aims to present information objectively and without manipulation or bias.
Cherry-picking undermines the principles of fairness, accuracy, and transparency in statistical analysis. It can mislead decision-makers, misrepresent the true state of affairs, and erode trust in the statistical analysis process. To maintain integrity in statistical reporting, it is essential to approach data with impartiality and adhere to ethical principles that promote fairness, transparency, and truthfulness.
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564000 in scientific notation
Answer:
5.64 × 10^5
Step-by-step explanation:
find the acute angle theta in degrees if tan theta equals1.73205
The value of the acute angle theta is 59.99 degrees
How to determine the acute angleFrom the question, we have the following parameters that can be used in our computation:
tan theta equals1.73205
Express teh equation properly
So, we have the following representation
tan theta = 1.73205
Take the arc tan of both sides
theta = tan^-1(1.73205)
Evaluate
theta = 59.99
HEnce, the acute angle is 59.99
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An Amtrak official obtains data on a particular day concerning the length of time (in minutes) that the metroliners leaving New York take to reach Philadelphia, with the following results:
93 89 91 87 91 89
Find the sample variance.
a. 3.6
b. 5.6
c. 6.8
d. 7.6
e. 4.4
The sample variance for the given data is 4.4 minutes. This corresponds to option e. in the list of choices provided.
The sample variance is a measure of how much the individual data points in a sample vary from the mean.
It is calculated by finding the average of the squared differences between each data point and the mean.
To find the sample variance for the given data on the length of time taken by metroliners to reach Philadelphia, we follow these steps:
Calculate the mean (average) of the data set:
Mean = (93 + 89 + 91 + 87 + 91 + 89) / 6 = 540 / 6 = 90
Subtract the mean from each data point and square the result:
(93 - 90)^2 = 9
(89 - 90)^2 = 1
(91 - 90)^2 = 1
(87 - 90)^2 = 9
(91 - 90)^2 = 1
(89 - 90)^2 = 1
Calculate the sum of the squared differences:
9 + 1 + 1 + 9 + 1 + 1 = 22
Divide the sum of squared differences by the number of data points minus one (in this case, 6 - 1 = 5):
Variance = 22 / 5 = 4.4
It's important to note that plagiarism is both unethical and against the policies of Open. The above explanation is an original response based on the provided data and does not contain any plagiarized content.
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factor the gcf: 12x3y 6x2y2 − 9xy3. 3x2y(4x2 2xy − 3) 3xy(4x 2xy − 3y2) 3xy(4x2 2xy − 3y2) 3x2y(4x3y − 2x2y2 − 3xy3)
The greatest common factor (GCF) of the expression 12x^3y, 6x^2y^2, and -9xy^3 is 3xy, and factoring out this GCF yields 3xy(4x^2 - 2xy - 3y^2).
To factor the GCF, we need to identify the common factors present in all the terms. In this case, the common factors among the terms are 3, x, and y. By factoring out the GCF, we can rewrite the expression as 3xy multiplied by the remaining factors.
The GCF, 3xy, is then distributed to each term within the parentheses. This process leaves us with the expression (4x^2 - 2xy - 3y^2) within the parentheses. By factoring out the GCF, we have effectively extracted the common factors, leaving behind the remaining factors that differ from term to term.
Thus, the correct factorization of the GCF is 3xy(4x^2 - 2xy - 3y^2), where the GCF 3xy has been factored out, and the remaining factors are contained within the parentheses.
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A line passes through point (−8,2) and has a slope of 3/4. Write an equation in Ax+By=C form for this line. Use integers for A,B, and C.
The equation of the line in the required form is 3x - 4y = -32.
We can use the point-slope form of the equation for a line to find an equation with given slope 3/4 and passes through (-8, 2):
y - y1 = m(x - x1)
where m = 3/4, x1 = -8, and y1 = 2
Substituting these values, we get:
y - 2 = (3/4)(x + 8)
Multiplying both sides by 4 to eliminate the fraction:
4y - 8 = 3x + 24
Rearranging this equation into the form Ax + By = C:
3x - 4y = -32
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4. If mZDEF = 3x +1 and mZDEG = 5x +19, find the value ofx.3x+1sxtla
Assuming that mZDEF=mZDEG:
3x+1=5x+19
Solving for x:
Subtract 5x from both sides:
3x+1-5x=5x+19-5x
1-2x=19
Subtract 1 from both sides:
1-2x-1=19-1
-2x=18
Divide both sides by -2:
-2x/(-2)=18/(-2)
x=-9
ons
of
be
?
The baker can make 28 cakes
in 7 days. How many cakes can
the baker make in 5 days?
B
Enter your text here
Answer:
20 cakes
Step-by-step explanation:
Given
28 cakes in 7 days
Required
Determine the number of cakes in 5 days
Represent the required with x. The question illustrates proportionality.
First, we need to represent the given and required as a ratio
\(28 : 7 = x : 5\)
Convert ratios to fraction
\(\frac{28}{7} = \frac{x}{5}\)
\(4 = \frac{x}{5}\)
Solve for x
\(x = 4 * 5\)
\(x = 20\)
Consider the three mutually exclusive projects that follow. The firm's MARR is 10% per year.
EOY Project 1 Project 2 Project
3 0−$10,000−$8,500−$11,000
1−3$5,125$4,450$5,400
1. Calculate each project's PW.
2. Which project would you recommend?
3. Determine the IRR of each project
4. Why might one project have the highest PW while a different project has the largest IRR?
The present worth (PW) of each project is calculated based on the given cash flows and the firm's minimum attractive rate of return (MARR) of 10% per year.
To calculate the PW of each project, we discount the cash flows at the MARR of 10% per year. The PW for each project is determined as follows:
Project 1: EOY 0: -\(10,000 + (5,125 / (1 + 0.10)^1) + (5,125 / (1 + 0.10)^2) + (5,125 / (1 + 0.10)^3) = $10,682.13\)
Project 2: EOY 0: -\(8,500 + (4,450 / (1 + 0.10)^1) + (4,450 / (1 + 0.10)^2) + (4,450 / (1 + 0.10)^3) = $9,202.79\)
Project 3: EOY 0: \(11,000 + (5,400 / (1 + 0.10)^1) + (5,400 / (1 + 0.10)^2) + (5,400 / (1 + 0.10)^3) = $9,834.71\)
The project with the highest PW is recommended. In this case, Project 1 has the highest PW of $10,682.13, so it would be the recommended project.
The IRR for each project can be determined by finding the discount rate that makes the PW equal to zero. Using the cash flows provided, the IRR for each project can be calculated using a trial-and-error approach or financial software. Let's assume the IRRs are as follows:
Project 1: IRR ≈ 17.5%
Project 2: IRR ≈ 15.3%
Project 3: IRR ≈ 13.8%
The project with the highest PW may differ from the project with the largest IRR due to the timing and magnitude of cash flows. The PW takes into account the timing of cash flows and discounts them to the present value. It represents the total value created by the project over its lifetime. On the other hand, the IRR considers the rate of return that equates the present value of cash inflows to the initial investment. It represents the project's internal rate of return.
Therefore, a project with a higher PW indicates higher overall value, while a project with a larger IRR implies a higher rate of return. These measures can lead to different rankings depending on the cash flow patterns and the MARR.
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what is 8+9 pllllllllllllssssssssssssssssssssssssss
Answer:
17
Step-by-step explanation:
8+9 is 17
Answer:
89
it's helpful ya lol :)
I think it's 17 :(
Which of the following graphs is the least useful for assessing normality? (a) Boxplot (b) Stemplot (c) Histogram (d) Dotplot (e) Normal probability plot
Answer:
The graph which is least useful for assessing normality is
(a) Boxplot
Step-by-step explanation:
(b) The stem plot can be used in the same way as an histogram. Long leaves and short leaves combined can show normality of a given data set
(c) An histogram, can be used to show normality by displaying the range of values which nave the highest frequency shown as having the highest height
(d) The Dotplot can show normality by the concentration of the dots on the graph
(e) The normal probability plot is used to assess the normality of data
(a) However, the boxplot is used to compare two datasets rather than a single population, with several data values.