Solve the initial-value problem y' = (8 sin(x))/sin(y), y(0) = pi/2
Answers
Answer:
8cosx-cosy=8.
Step-by-step explanation:
dy/dx=8sinx/siny;
sinydy=8sinxdx;
-cosy= -8cosx+C;
according to the condition y(0)=pi/2:
-cos(pi/2)= -8cos0+C;
-8+C=0; ⇔ C=8, then
8cosx-cosy=8.
The solution to the given initial-value problem y' = (8 sin(x))/sin(y) with the given condition y(0) = π/2 is equal to y = -cos⁻¹(x).
To solve the initial-value problem y' = (8 sin(x))/sin(y) with the initial condition y(0) = π/2, separate variables and then integrate.
Separate variables.
y' = (8 sin(x))/sin(y). To separate variables, multiply both sides by sin(y) and divide by (8 sin(x)):
sin(y) dy = dx
Integrate both sides.
Now, integrate both sides of the equation with respect to their respective variables:
∫sin(y) dy = ∫dx
Integrating the left side:
∫sin(y) dy = -cos(y) + C₁ (where C₁ is the constant of integration)
Integrating the right side:
∫dx = x + C₂ (where C₂ is the constant of integration)
Apply initial condition.
Now, apply the initial condition y(0) = π/2 to find the values of C₁ and C₂:
When x = 0, y = π/2
cos(π/2) + C₁ = 0 (substitute y = π/2 into -cos(y) + C₁)
C₁ = 0 (since cos(π/2) = 0)
So, the equation becomes:
-cos(y) = x + C₂
Solve for y.
Now, isolate y on one side of the equation:
y =-cos⁻¹(x + C₂)
Find C₂ using the initial condition.
Now, use the initial condition y(0) = π/2 to find C₂:
When x = 0, y = π/2
π/2 = -cos⁻¹(0 + C₂)
cos⁻¹(C₂) = -π/2
C₂ = cos(-π/2) = 0
Final solution.
Finally, substitute C₂ = 0 into the equation y = -cos⁻¹(x + C₂) to get the final solution:
y = -cos⁻¹(x)
Therefore, the solution to the initial-value problem y' = (8 sin(x))/sin(y) with y(0) = π/2 is y = -cos⁻¹(x).
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Related Questions
a student spends 18 out of 35 of his pocket money on transport and fruit what is the fraction left?
Answers
To find the fraction of pocket money left after spending on transport and fruit, we need to subtract the amount spent from the total pocket money and express it as a fraction.
The student spends 18 out of 35 of his pocket money, which means he has (35 - 18) = 17 units of his pocket money left.
Therefore, the fraction of pocket money left can be written as 17/35.
Number 22. The local toy store sells a package of 7 different shaped erasers for 4.20 $ what is the unit cost of each eraser in the package
Answers
Answer:
$4.20 / 7 erasers = $0.60 per eraser
So each eraser in the package costs $0.60.
1 inch is to 9 miles as ? inches is to 81 miles.
Answers
Hope this helps.
Mr bailey plans to plant soybeans in 4 of every 9 acres This year he plans to farm 2,100 acres what is a reasonable estimate of the numbers of acres on which he will plant soybeans
A.60 B. 230 C.520 D.930
Answers
Option D, which is the closest choice to 933.33, is 930. As a result, 930 fraction acres is a plausible estimate of the amount of acres on which Mr. Bailey will plant soybeans
what is fraction?A fraction is a number that represents a portion of a whole or a ratio between two quantities in mathematics. It is represented as a top number (numerator) over a bottom number (denominator) divided by a horizontal line, also known as a vinculum. The fraction 3/4, for example, represents three-quarters of a whole that has been divided into four equal parts. Proper fractions, improper fractions, and mixed numbers are all ways to express a fraction. A suitable fraction is one in which the numerator is less than the denominator, for example, 2/5.
Mr. Bailey intends to plant soybeans on 4 of every 9 acres, which equates to (4/9) of the total acres he farms.
If he intends to cultivate 2,100 acres, the number of acres planted with soybeans is:
(4/9) x 2,100 = 933.33
We must round this amount to the next whole number because he cannot plant soybeans on a fraction of an acre.
Option D, which is the closest choice to 933.33, is 930. As a result, 930 acres is a plausible estimate of the amount of acres on which Mr. Bailey will plant soybeans.
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need help with these, thanks! they are not a part of a test, just a review question taken from one :)
Answers
2x + y ≤ 8
x + y ≥ 4
From the description, x represents the number of cupcakes bought and y represents the number of fudges bought.
A. To graph the inequalities, first, we need to graph the lines
2x + y = 8
x + y = 4
Substituting x = 0 into the first equation,
2(0) + y = 8
y = 8
Substituting y = 0 into the first equation,
2x + 0 = 8
2x = 8
x = 8/2
x = 4
Then, the line passes through the points (0, 8) and (4, 0)
Substituting x = 0 into the second equation,
0 + y = 4
y = 4
Substituting y = 0 into the second equation,
x + 0 = 4
x = 4
Then, the line passes through the points (0, 4) and (4, 0)
Both lines are solid because of the '≤' and '≥' signs.
Given the sign '≤', we have to shade the area below the line 2x + y = 8
Given the sign '≥', we have to shade the area above the line x + y = 4
The graphical solution is:
B. The point (8, 10) is not included in the solution because it is outside the shaded area
Replacing this point into the inequalities:
2(8) + 10 ≤ 8
16 + 10 ≤ 8
26 ≤ 8
8 + 10 ≥ 4
18 ≥ 4
None of them are true, then the point (8, 10) is not included in the solution
C. From the picture, the point (2, 3) is in the solution. This means that Sarah can buy 2 cupcakes and 3 fudges
Which number from the set {1, 2, 3,4} makes the inequality 5x² > 12x + 9 true for x?
Is it 1 or 2 or 3 or 4?
Answers
Answer:
4
Step-by-step explanation:
substitute the values from the set into the inequality and check validity.
x = 1
5(1)² > 12(1) + 9
5(1) > 12 + 9
5 > 21 ← False
x = 2
5(2)² > 12(2) + 9
5(4) > 24 + 9
20 > 33 ← False
x = 3
5(3)² > 12(3) + 9
5(9) > 36 + 9
45 > 45 ← False
x = 4
5(4)² > 12(4) + 9
5(16) > 48 + 9
80 > 57 ← True
thus the value 4 from the set makes the inequality true
Solve equation by factoring n^2=5n-4
Answers
\(\huge\text{Hey there!}\)
\(\huge\textbf{Equation:}\)
\(\mathsf{n^2 = 5n - 4}\)
\(\huge\textbf{Convert:}\)
\(\mathsf{5n - 4 = n^2}\)
\(\huge\textbf{Subtract }\boxed{\bf n^2}\huge\textbf{ to both sides:}\)
\(\mathsf{5x - 4 - n^2 = n^2 - n^2}\)
\(\huge\textbf{Simplify it:}\)
\(\mathsf{-n^2 + 5x - 4 = 0}\)
\(\huge\textbf{Factor the LEFT side of the equation:}\)
\(\mathsf{(-n + 1)\times (n - 4) = 0}\)
\(\huge\textbf{Simplify that as well:}\)
\(\mathsf{-n + 1 = 0 \ or\ even\ \ n - 4 = 0}\)
\(\huge\textbf{Lastly, simplify that as well:}\)
\(\mathsf{n = 1\ or\ n = 4}\)
\(\huge\textbf{Therefore, your answer should be: }\)
\(\huge\boxed{\frak{n = 1\ or \ n = 4}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\frak{Amphitrite1040:)}\)
Determine the point estimate of the population proportion, the margin of error for the following confidence interval, and the number of individuals in the sample with the specified characteristic, x, for the sample size provided. Lower boundequals0.645, upper boundequals0.915, nequals1500
Answers
Answer:
The point estimate of the population proportion is 0.78.
The margin of error of the interval is of 0.135 = 13.5%.
The number of individuals in the sample with the specified characteristic is 1170.
Step-by-step explanation:
Confidence interval concepts:
A confidence interval has two bounds, a lower bound and an upper bound.
A confidence interval is symmetric, which means that the point estimate used is the mid point between these two bounds, that is, the mean of the two bounds.
The margin of error is the subtraction of these two bounds divided by 2.
In this question:
Lower bound: 0.645
Upper bound: 0.915
Point estimate of the population proportion
\(p = \frac{0.645 + 0.915}{2} = 0.78\)
The point estimate of the population proportion is 0.78
Margin of error for the following confidence interval
\(M = \frac{0.915 - 0.645}{2} = 0.135\)
The margin of error of the interval is of 0.135 = 13.5%.
The number of individuals in the sample with the specified characteristic
78% of 1500
0.78*1500 = 1170
The number of individuals in the sample with the specified characteristic is 1170.
What are the x-intercepts of the function y = x2-x-120? Check all that apply.
0 (-120,0)
0 (-11.466, 0)
O (-10.466,0)
(0, -120)
(10,466, 0)
(11.466,0)
Answers
Answer:
it is (-10.466,0) and (11.466,0)
Step-by-step explanation:
Answer:
3 : (-10.466, 0)
6 : (11.466,0)
Step-by-step explanation:
The population of a city was 10,000 in 2010. The population increase at an annual rate of 2.5% per year. Is the growth model function that represents the population of the city linear?
Answers
Answer:
The growth model that represents the population of this city is not linear--it is exponential:
\(f(t) = 10000( {1.025}^{t} )\)
\(t = 0 \: represents \: 2010\)
what is the probability that a data value in a normal distribution is between a z-score of 1.65 and a z-score of 2.24? Round your answer to the nearest tenth of a percent.
Answers
The probability that a data value in a normal distribution is between a z-score of 1.65 and a z-score of 2.24 is approximately 6.9%.
To calculate the probability, we need to use the standard normal distribution table or a statistical calculator.
Look up the cumulative probability for the lower z-score (1.65):
From the standard normal distribution table or a statistical calculator, we find that the cumulative probability for a z-score of 1.65 is approximately 0.9505.
Look up the cumulative probability for the higher z-score (2.24):
Similarly, the cumulative probability for a z-score of 2.24 is approximately 0.9875.
Calculate the probability between the two z-scores:
To find the probability between the two z-scores, we subtract the cumulative probability of the lower z-score from the cumulative probability of the higher z-score.
Probability = Cumulative probability (Higher z-score) - Cumulative probability (Lower z-score)
Probability = 0.9875 - 0.9505
Probability = 0.037
Convert the probability to a percentage:
Multiply the probability by 100 to express it as a percentage.
Probability (in percentage) = 0.037 × 100
Probability (in percentage) = 3.7%
Rounded to the nearest tenth of a percent, the probability that a data value in a normal distribution is between a z-score of 1.65 and a z-score of 2.24 is approximately 6.9%.
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10 Kofi scored 45% in the first paper of his mathematics examination and scored x% in the second paper (where x is a whole number). He was given a grade C for the subject, which meant that the average of his marks on the two papers was greater than 48% but less than 52%. Find the possible values of x. [WAEC]
Answers
The possible values of x are 51% < x < 59%.
When you are given various values, the range of those values is how big the difference is between the largest value and the smallest value. In other words, the range is what you get when you subtract the smallest value in the group from the largest value in the group.
Its possible values are 1, 2, 3, 4, 5, and 6; each of these possible values has a probability of 1/6. 4. The word “random” in the term “random variable” does not necessarily imply that the outcome is completely random in the sense that all values are equally likely.
Let K represent Kofi
1st paper = 45/100
2nd paper = x / 100
Mean score = ( 45 + x ) % / 2
The possible range of x = 48% < (45+X)/2 < 52%
Cross multiplying
96% < 45 + x < 104%
Subtract 45 from both sides
Range = 51% < x < 59%
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The base of a solid is the region bounded by the graphs of y = 6x, y= 12, and x=0. The cross-sections perpendicular to the x-axis are a. rectangles of height 8.b. rectangles of perimeter 60.a. Vb. V=
Answers
The the volume of the solid figure bounded by the rectangles of height 8 is 96 unit cube and of rectangles of perimeter 60 is 264 unit cube.
Let us first consider the case of solid figure with base as rectangle of height 8. In this case, the width of the rectangle is taken as the difference between y=6x and y=12. Therefore, the area of the rectangle for a generic x is A = 8(12−6x)
The bounds on x are 0 to the x-coordinate of the intersection between y=6x and y=12, namely x=2:
\(V=\int\limits^2_0 {8(12-6x)} \, dx \\V= 8[12x - \frac{6x^2}{2}], limit 0 to 2 \\V = 8 (24-12)\\V = 8*12 = 96\)
Now consider the case where the solid figure is bounded by a rectangle of perimeter 60, such that the width of the cross-sectional rectangle at x is the difference (12-6x). The height of the rectangle in this case can be calculated as follows:
Perimeter = 2*width + 2*height
Perimeter = 2(12-6x) + 2*height
60 = 24 - 12x +2*height
Height = 18+6x
Now, integration of the equation as follows:
\(V=\int\limits^2_ 0{(12-6x)(18+6x)} \, dx \\V=\int\limits^2_0 {(216 + 72x - 108x -36x^2)} \, dx \\V=[216x - 36x^2/2 - 36x^3/3], limit 0 to 2\\V = 264\)
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Refer to complete question below:
Find the volume of the following solids. The base of a solid is the region bounded by the graphs of y= 6x, y = 12, and x = 0. The cross-sections perpendicular to the x-axis are
a. rectangles of height 8.
b. rectangles of perimeter 60.
(Type an exact answer, using radicals as needed.)
Hi, can you help me to evaluate (if possible) thesix trigonometric functions of the real number.Please.
Answers
Okay, here we have this:
Considering the provided angle, we are going to evaluate the trigonometric functions, so we obtain the following:
Sine:
\(\begin{gathered} \sin (-\frac{2\pi}{3}) \\ =-\sin (\frac{2\pi}{3}) \\ =-\cos \mleft(\frac{\pi}{2}-\frac{2\pi}{3}\mright) \\ =-\cos \mleft(-\frac{\pi}{6}\mright) \\ =-\cos \mleft(\frac{\pi}{6}\mright) \\ =-\frac{\sqrt{3}}{2} \end{gathered}\)Cos:
\(\begin{gathered} cos\mleft(-\frac{2\pi}{3}\mright) \\ =\cos \mleft(\frac{2\pi}{3}\mright) \\ =\sin \mleft(\frac{\pi}{2}-\frac{2\pi}{3}\mright) \\ =\sin \mleft(-\frac{\pi}{6}\mright) \\ =-\sin \mleft(\frac{\pi}{6}\mright) \\ =-\frac{1}{2} \end{gathered}\)Tan:
\(\begin{gathered} tan\mleft(-\frac{2\pi\:}{3}\mright) \\ =\frac{\sin (-\frac{2\pi\: }{3})}{\cos (-\frac{2\pi\: }{3})} \\ =\frac{-\frac{\sqrt[]{3}}{2}}{-\frac{1}{2}} \\ =\sqrt[]{3} \end{gathered}\)Csc:
\(\begin{gathered} \csc \mleft(-\frac{2\pi}{3}\mright) \\ =\frac{1}{\sin\left(-\frac{2\pi}{3}\right)} \\ =-\frac{1}{\frac{\sqrt{3}}{2}} \\ =-\frac{2\sqrt{3}}{3} \end{gathered}\)Sec:
\(\begin{gathered} \sec \mleft(-\frac{2\pi}{3}\mright) \\ =\frac{1}{\cos\left(-\frac{2\pi}{3}\right)} \\ =\frac{1}{-\frac{1}{2}} \\ =-2 \end{gathered}\)Cot:
\(\begin{gathered} \cot \mleft(-\frac{2\pi}{3}\mright) \\ =\frac{1}{\tan (-\frac{2\pi}{3})} \\ =\frac{1}{\sqrt[]{3}} \\ =\frac{\sqrt{3}}{3} \end{gathered}\)y = 6 sin(x) y = 6 cos(x) 0 ≤ x ≤ π/4 about y = −1
Answers
are you speaking another language
The triangle and the rectangle have the same area.
All lengths are in cm.
7x + 2
a Form an equation in x.
b Solve your equation to find x.
c Work out the area of the shapes.
1
2x + 7
Answers
The length of one side of the equilateral triangle in terms of x is 6x.
To find the length of one side of the equilateral triangle in terms of x, we need to consider the perimeter of both the rectangle and the equilateral triangle.
The perimeter of a rectangle is given by the formula:
Perimeter of rectangle = 2(length + width)
In this case, the length of the rectangle is 7x cm, and the width is 2x cm. Substituting these values into the formula, we have:
Perimeter of rectangle = 2(7x + 2x) = 2(9x) = 18x
We are told that the equilateral triangle has the same perimeter as the rectangle.
Since an equilateral triangle has all sides equal, the perimeter can be calculated by multiplying the length of one side by 3.
Therefore, we have:
Perimeter of equilateral triangle = 3(side length)
Since the perimeter of the equilateral triangle is equal to the perimeter of the rectangle (18x), we can set up the equation:
3(side length) = 18x
Dividing both sides of the equation by 3, we get:
side length = 6x
Hence, the length of one side of the equilateral triangle in terms of x is 6x.
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The complete question may be like: A rectangle measures 2x cm by 7x cm. An equilateral triangle has the same perimeter as the rectangle. What is the length of one side of the triangle in terms of x?
Consider an investment of $10,000 with interest of 5% compounded annually. Which statements are correct?
A)
This situation is modeled by an exponential function.
B)
In 5 years, the investment has a value of more than $12,762.
C)
This situation can be modeled by the function A = 1.05t + 10,000.
D)
This situation can be modeled by the function A = 10,000(1.05)
E)
It will take more than 20 years to double the value of the investment.
Answers
Answer:
E
Step-by-step explanation:
10,000*0.05= 500, which is what you would earn in interest in a year.
Multiply that number by 20, which is the year you would double the investment.
can anyone please help me solve this
Answers
Answer:
20+n=120
Step-by-step explanation:
How much is 571, 863 rounded to the nearest thousand?
O 571,900
571,000
O 572, 000
O 572, 063
Answers
A tiled floor measures 1 ⅔ by 2 ⅔ feet. What is the area of the floor?
Answers
let's firstly convert the mixed fractions to improper fractions and then multiply.
\(\stackrel{mixed}{1\frac{2}{3}}\implies \cfrac{1\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{5}{3}}~\hfill \stackrel{mixed}{2\frac{2}{3}}\implies \cfrac{2\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{8}{3}} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{5}{3}\cdot \cfrac{8}{3}\implies \cfrac{40}{9}\implies 4\frac{4}{9}\)
Victoria needed to get her computer fixed. She took it to the repair store. The
technician at the store worked on the computer for 2.25 hours and charged her $70
for parts. The total was $193.75. Write and solve an equation which can be used to
determine x, the cost of the labor per hour.
Answers
Answer:
$55/per hour
Step-by-step explanation:
Let's call the cost of labor per hour "x".
We know that the cost of parts is $70 and the cost of labor is x * 2.25 (since the technician worked for 2.25 hours).
We also know that the total cost is $193.75. So we can set up the equation:
x * 2.25 + $70 = $193.75
To solve for x, we'll first get the x terms on one side of the equation by subtracting $70 from both sides:
x * 2.25 = $193.75 - $70
x * 2.25 = $123.75
Finally, we'll divide both sides by 2.25 to solve for x:
x = $123.75 / 2.25
x = $55/hour
sequence three missing terms to comple 7444> →→19-
Answers
To complete the sequence "7444> →→19-", we need to find the missing terms that fit the pattern established by the given numbers. Let's analyze the sequence and identify any discernible pattern or rule.
Looking at the sequence, we can observe that each number is decreasing by a certain value. In this case, the first number is 7444, and the second number is 19, indicating a decrease of 7425. Now, we need to continue this pattern.
To find the third missing term, we subtract 7425 from 19, resulting in -7406. Therefore, the third missing term is -7406
To find the fourth missing term, we subtract 7425 from -7406, resulting in -14831. Therefore, the fourth missing term is -14831.
To find the fifth missing term, we subtract 7425 from -14831, resulting in -22256. Therefore, the fifth missing term is -22256.
Therefore, the completed sequence is:
7444> →→19- → -7406 → -14831 → -22256
Each term in the sequence is obtained by subtracting 7425 from the previous term.
It's important to note that this solution assumes a linear pattern in which the same subtraction value is applied to each term. However, without additional context or information about the sequence, there could be alternative patterns or interpretations.
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Solve for x. Round your answer to the nearest tenth.
Answers
The Pythagorean theorem should help you out. Since you already know two sides of the triangle, you can do a^2 + b^2 = c^2
So in this problem, 16.5^2 + 9.2^2 =
272.25 + 84.64 = 356.89
Pasty you would take the square root of 356.89 and you would get x = 18.89 or 18.9 rounded to the nearest tenth
You can check your work by the Pythagorean theorem once more. 16.5^2 + 9.2^2 = 18.9^2 and you should get the same approximate answer (it will be a little bigger because you rounded)
Consider the vectors Bold uuequals=left angle 4 comma 0 right angle4,0 and Bold vvequals=left angle negative 3 comma negative 3 right angle−3,−3. Sketch the vectors, find the angle between the vectors, and compute the dot product using the definition Bold u times Bold v equals StartAbsoluteValue Bold u EndAbsoluteValue StartAbsoluteValue Bold v EndAbsoluteValue cosine thetau•v=u vcosθ.
Answers
Answer:
Angle between the two vectors is 135°
u•v = -12
Step-by-step explanation:
Given two vectors u = (4,0) and v = (-3,-3).
To find the angle between the two vectors we will use the formula for calculating the angle between two vectors as shown;
u•v = |u||v|cos theta
cos theta = u•v/|u||v|
theta = arccos (u•v/|u||v|)
u•v = (4,0)•(-3,-3)
u•v = 4(-3)+0(-3)
u•v = -12
For |u| and |v|
|u| = √4²+0²
|u| = √16 = 4
|v| = √(-3)²+(-3)²
|v| = √9+9
|v| = √18
|v| = 3√2
|u||v| = 4×3√2 = 12√2
theta = arccos(-12/12√2)
theta = arccos(- 1/√2)
theta = -45°
Since cos is negative in the second quadrant, theta = 180-45°
theta = 135°
To get u•v using the formula u•v = |u||v|cos theta
Given |u||v| = 12√2 and theta = 135°
u•v = 12√2cos 135°
u•v = 12√2× -1/√2
u•v = -12√2/√2
u•v = -12
For the diagram of the vectors, find it in the attachment below.
Answer:
Check the graph below for the sketch.
\(\theta=135^{\circ}\)
Step-by-step explanation:
1) Let's organize the data from these Latex codes.
\(\vec{\mathbf{u}}=\left \langle 4,0 \right \rangle\:and\: \vec{\mathbf{v}}=\left \langle -3,-3 \right \rangle\)
2) Sketching them (Check below). Notice that we are going to use the coordinates of each vector.
3) To find the angle between the vectors, we need to remember the Theorem:
If there is an angle between two vectors a and b, then we can calculate its angle using this relation:
\(a*b=\left \| a \right \|\left \| b \right \|*cos\theta\)
3.1) Then we need the Dot product between u and v. The Dot product is going to give us a scalar value for a product between vectors.
We will also need the norm of each vector. The norm will tell us the length of each one.
\(\vec{u}*\vec{v}=\vec{u}*\vec{v}=4(-3)+0(-3)=-12\\\left \| u \right \|=\sqrt{4^2+0^2 }= \left \| u \right \|=4, \\\left \| v \right \|=\sqrt{(-3)^2+(-3)^2}, \left \| v \right \|=18=3\sqrt{2} \left\\\)
3.2)
Now, we can plug these pieces of information from 3.1 and 3.2 and find the angle:
\(cos\theta=\frac{uv}{\left \| u \right \|\left \| v \right \|}=\frac{4*-3+(0)(-3)}{12\sqrt{2} }=\frac{-12}{ 12\sqrt{2} }\\\theta=cos^{-1}(\frac{-12}{ 12\sqrt{2} })\rightarrow \theta\approx 135^{\circ}\)
3a-5b when a= -3and b= -2
Answers
The numerical value of the expression 3a - 5b when a = -3 and b = -2 is 1.
What is the numerical value of the given expression?Given the expression in the question;
3a - 5b
a = -3b = -2
To determine the value of the expression, replace a with -3 and b with -2 for all occurrence of a and b in the expression.
3a - 5b
Plug in a = -3
3( -3 ) - 5b
Plug in b = -2
3( -3 ) - 5( -2 )
-9 -+ 10
10 - 9
Subtract 9 from 10
1
Therefore, the value of the expression is 1.
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Parker has 12 blue marbles. Richard has 34
of the number of blue marbles that Parker has.
Part A
Explain how you know that Parker has more blue marbles than Richard without completing the multiplication.
Enter equal to, greater than, or less than in each box.
Multiplying a whole number by a fraction
less than
1 results in a product that is
the original whole number.
Part B
How many blue marbles does Richard have? Enter your answer in the box.
blue marbles
Answers
Use the 2016 marginal tax rates to compute the tax owed by the following person.
A single woman with a taxable income of $19,000 and a $2500 tax credit
Answers
Our negative number means that the government owes you $413.75. We would have to pay the government money if it weren't a negative number.
What is tax?In order to pay for general government services, goods, and activities, local, state, and federal governments must collect mandated payments or charges from citizens and corporations.
Since ancient times, paying taxes to governments or officials has been a fundamental aspect of civilization.
So, to address this issue, utilize the Single column.
You must first calculate her taxes before deducting the tax credit.
She earns $17,000 in taxable income. She now falls into the 15% category.
The amount owed on the first 9275 dollars that are subject to the tax must first be determined.
.10 * 9275 = 927.50
The remainder of her debt, which is in the 15% range, must then be collected.
.15 * (17000 - 9275) = 1158.75
Add up all of our taxes on the money, then deduct our tax credit of $2500.
(927.50 + 1158.75) - 2500
(2086.25) - 2500 = -413.75
Therefore, our negative number means that the government owes you $413.75. We would have to pay the government money if it weren't a negative number.
Know more about tax here:
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1 The figure shows a rectangle inscribed in a circle.
Determine the area of the shaded region. Use 3.14
for and round to the nearest tenth.
Answers
Answer:
46.8 cm²
Step-by-step explanation:
The diagonal of the square has length \(\sqrt{6^2+10^2}=2\sqrt{34}\). Therefore, the radius of the circle is \(\sqrt{34}\), meaning the area is \(\pi(\sqrt{34})^2 \approx 34(3.14)=106.76\).
The area of the rectangle is \((6)(10)=60\) cm².
Subtracting the areas, the answer is 46.76 cm², which is 46.8 cm² to the nearest tenth.
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CMS 2021 7th MA Standard Unit BA- Geometry / 12 of 20
A ceiling fan is pictured below. The tip of one of the fan blades is labeled point A.
Point A is 28 inches away from the center of the fan. How far does point A on the fan travel when the fan blades make one full revolution?
A 87.92 inches
B. 175.84 inches
C. 168 inches
D. 351.68 inches
Answers
Answer:
i do think it is b. 175.84 inches
hope you get it right
What is the area of figure?
A. 56 square meters
B. 80 square meters
C. 120 square meters
D. 136 square meters
E. 152 square meters
(quiz help )
Answers
Answer:
D
Step-by-step explanation:
8×16=128
2×4=8
128+8=136m^2
answer: D