Answers
Answer:
See step by step
Step-by-step explanation:
1a.
[tex] \frac{7\pi}{3} [/tex]
Coterminal Angles difference or a full revolution or 2 pi. so it standard position will be
[tex] \frac{7\pi}{3} - \frac{6\pi}{3} = \frac{\pi}{3} [/tex]
The expression will be
[tex] \frac{\pi}{3} + 2\pi \times n[/tex]
where n is the interger number of revolutions.
1b. Instead using radians, we will be using degrees.
Coterminal Angles difference will be 360 degrees. so it standard position within the unit circle will be
[tex] - 100 + 360 = 260[/tex]
The expression is
[tex] - 100 + 360 \times n[/tex]
where n is the interger number of revolutions.
Related Questions
write your answer in simplest radical form
Answers
A farmer wants to build a rectangular pen and then divide it with two interior fences. The total area inside of the pen will be 264 square meters. The exterior fencing costs $15.60 per meter and the interior fencing costs $13.00 per meter. Find the dimensions of the pen that will minimize the cost.
Answers
Answer:
x = 12 m and y = 22 m
Step-by-step explanation:
Total area = 264 [tex]m^2[/tex]
∴ xy = 264
[tex]$y=\frac{264}{x}$[/tex] ............(1)
Cost function = [tex]C(x,y) = 2 x (15.60) + 2y(15.60) + 2x(13)[/tex]
[tex]C(x,y) = 57.2 x + 31.2y[/tex]
Therefore, using (1),
[tex]$C(x) = 57.2x+31.2 \left(\frac{264}{x} \right)$[/tex]
[tex]$C(x) = 57.2x+\frac{8236.8}{x} \right)$[/tex]
So, cost C(x) minimum where C'(x) = 0
[tex]$C'(x) = 57.2 - \frac{8236.8}{x^2}=0$[/tex]
[tex]$x^2=\frac{8236.8}{57.2}$[/tex]
[tex]$x^2=144$[/tex]
[tex]$x=12$[/tex] m
Therefore, [tex]$y=\frac{264}{x}$[/tex]
[tex]$=\frac{264}{12}$[/tex]
= 22 m
So the dimensions are x = 12 m and y = 22 m.
Write the equation of a line in slope-intercept form that has a slope of 3/4 and passes through the point (-4, 1).
y equals 0.75 x plus 4
y equals 4 x plus 0.75
y equals minus 4 x plus 1
y equals 0.75 x plus 1
Answers
Answer:
y = 3/4 x + 4
y equals 0.75 x plus 4
Step-by-step explanation:
y = 3/4 x + b
1 = 3/4 (-4) + b
1 = -3 + b
b = 4
Answer:
A) y equals 0.75 x plus 4Step-by-step explanation:
Another way to solve this to use the point-slope form:
y - y₁ = m(x - x₁)Substitute the values of m, x₁, y₁ and convert this into slope-intercept form:
y - 1 = 3/4(x - (-4))y - 1 = 3/4x + 3y = 3/4x + 4y = 0.75x + 4Correct choice is A
Có bao nhiêu hàm đơn ánh từ tập $\{a,b,c\}$ đến tập $\{1,2,3,4,5\}$?
Answers
A function f : X → Y assigns only one value of y ∈ Y to any given x ∈ X.
For each of the three elements in {a, b, c}, there are 5 choices of values to assign from {1, 2, 3, 4, 5}, so there are 5³ = 125 possible functions.
odd number more than 100 are empty,unit,finite,or,infinite
Answers
odd numbers more than 100 are infinite.
Which graph represents y = |xl?
A
B
C
D
Answers
Answer:
B
Step-by-step explanation:
The equation represented in the question is the parent absolute value question. If you know the different parent functions, then the answer is obvious because absolute value equations always form a V. However, if you do not do this then you can create a table and plugin values. Plugin numbers like 0, -1, and 1 for X and solve for Y. Finally, graph these points and see what graph best fits. If needed you can also plug in more points.
Answer:
B.
Step-by-step explanation:
I got it correct on the warm up
Identify the coordinates of H' after a 180° rotation about the origin.
Answers
Answer: (4, -2) which is choice A
Explanation:
The rule I used is [tex](x,y) \to (-x,-y)[/tex]
Simply swap the sign of each x and y coordinate to go from (-4, 2) to (4, -2)
This rule only works for 180 degree rotations. It doesn't matter if you go clockwise or counterclockwise.
I need help with this
Answers
Answer:
A.
Step-by-step explanation:
Twust me n' dwont doubt me
A is for apple
And cause A looks like ABC
DWUHHH
Solve this equation for x. Round your answer to the nearest hundredth. 0.77 = log x
Answers
Answer:
x ≈ 5.89
General Formulas and Concepts:
Pre-Algebra
Equality PropertiesAlgebra II
Exponential to Logarithmic: [tex]\displaystyle b^m=x \rightarrow log_bx=m[/tex]Step-by-step explanation:
Step 1: Define
Identify
0.77 = log(x)
Step 2: Solve for x
[Equality Property] Raise both sides to the 10th power: [tex]\displaysytle 10^{0.77} = 10^{logx}[/tex]Simplify: [tex]\displaysytle x = 10^{0.77}[/tex]Evaluate: [tex]\displaysytle x = 5.88844[/tex]Identify which of the following is not equivalent to 234.
Question 1 options:
A)
B)
23−−√4
C)
(214)12
D)
214 x 212
Answers
Answer:
A since A is left blank its A
Choose the graph of y = 2 tan x.
Answers
Answer:
The image shows the graph of y = 2 tan x.
The director of special events for Sun City believed that the amount of money spent on fireworks displays on the 4th of July was predictive of attendance at the Fall Festival held in October. She gathered the following data to test her suspicion.
4th of July ($000) Fall Festival (000)
10.6 8.8
8.5 6.4
12.5 10.8
9.0 10.2
5.5 6.0
12 11.1
8.0 7.5
7.5 8.4
9.0 9.5
10 9.8
7.5 6.6
10 10.1
6.0 6.1
12 11.3
10.5 8.8
Required:
Determine the regression equation. Is the amount spent on fireworks related to attendance at the Fall Festival? Conduct a hypothesis test to determine if there is a problem with autocorrelation.
Answers
Answer:
The complete question and its solution in the attached file please find it.
Step-by-step explanation:
Jim took a loan of R30 000 for 18 months at simple interest rate of 12,5% per year. determine the amount that Jim will pay in 18 months
Answers
Answer:
36151,82923
Step-by-step explanation:
30000* ( 1+12,5%/12)^18
20 slips of paper are put into a bag numbered from 1 to 20. One slip is randomly selected from the bag. We are interested in selecting even numbers. What is the probability of selecting an even number from the bag?
Answers
Answer:
2/5
Step-by-step explanation:
Answer:
Step-by-step explanation:
There are 10 even numbers from 1 to 20
2 4 6 8 10 12 14 16 18 20
There 20 possible choices.
P(Even) = 10 /20 = 1/2
Solve for x
-5(3-4x) = -6+20x - 9
Answers
Answer:
(negative infinity, positive infinity)
Any value of x makes the equation true.
Step-by-step explanation:
-5(3-4x) = -6+20x - 9
-15 + 20x = -15 + 20x
(negative infinity, positive infinity)
Answer:
True for all x
Step-by-step explanation:
-5(3-4x) = -6+20x - 9
Distribute
-15 +20x = -6+20x - 9
Combine like terms
-15 +20x = -15+20x
Subtract 20x from each side
-15 +20x-20x = -15+20x -20x
-15 =-15
This is true for all x
Th
The value of 33 + 42 = ___.
Numerical Answers Expected!
Answer for Blank 1:
Answers
3^3 + 4^2 = 43
Step-by-step explanation:
Please write the numbers like this 3^3 + 4^2 next time
3^3 + 4^2 =
Solve for 3^3
3^3 = 3 • 3 • 3 = 27
Solve for 4^2
4^2 = 4 • 4 = 16
Add 27 and 16
27 + 16 = 43
[tex] \sf Q) \: {3}^{3} + {4}^{2} = {?}[/tex]
[tex] \sf \to \: {3}^{3} + {4}^{2} [/tex]
[tex] \sf \to \: 27 + 16= 43 [/tex]
Thus, the value is 43.
Ms.Griffin has a class of 18 students. She can spend $19 on each student to buy math supplies for each year. She first buys all of her students calculators, which costs a total of 88.02. After buying the calculators, how much does she have left to spend on each student
Answers
I need help with this
Answers
Answer:
D.
Step-by-step explanation:
According to converse of the Pythagorean Theorem, that if the square of the third side (longest side) of a triangle equals the sum of the other two shorter sides, therefore, the triangle formed must be a right triangle.
From the side lengths given, the following satisfies the Pythagorean triple:
5² + 12² = 13².
Therefore, the procedure to use to confirm the converse of the Pythagorean Theorem would be to draw the two shortest side, 5 cm and 12 cm, so that a right angle will be between them. The side measuring 13 cm should therefore fit in to form a right triangle.
prove that:cos^2(45+A)+cos (45-A)=1
Answers
Step-by-step explanation:
[tex] \boxed{cos^2x=\frac{1-cos2x}{2}}\\cos^2(45+A)+cos^2(45-A)=\frac{1-cos2(45+A)}{2}+\frac{1-cos2(45-A}{2}\\=\frac{1 - cos(90 +2A) }{2} + \frac{1 - cos(90 - 2A) }{2} \\ = \frac{2- ( - sin 2A) - sin2A}{2} \\ = \frac{2 + sin2A -sin2A }{2} \\ = \frac{2}{2} \\ = 1[/tex]
Step-by-step explanation:
Prove that
[tex]\cos^2(45+A)+\cos^2(45-A) =1[/tex]
We know that
[tex]\cos (\alpha \pm \beta) = \cos \alpha\cos \beta \mp \sin \alpha \sin\ beta)[/tex]
We can then write
[tex]\cos (45+A)=\cos 45\cos A - \sin 45\sin A[/tex]
[tex]\:\:\:\:\:\:\:\:= \frac{\sqrt{2}}{2}(\cos A - \sin A)[/tex]
Taking the square of the above expression, we get
[tex]\cos^2(45+A) = \frac{1}{2}(\cos^2A - 2\sin A \cos A + \sin^2A)[/tex]
[tex]= \frac{1}{2}(1 - 2\sin A\cos A)\:\:\;\:\:\:\:(1)[/tex]
Similarly, we can write
[tex]\cos^2(45-A) =\frac{1}{2}(1 + 2\sin A\cos A)\:\:\;\:\:\:\:(2)[/tex]
Combining (1) and (2), we get
[tex]\cos^2(45+A)+\cos^2(45-A)[/tex]
[tex]= \frac{1}{2}(1 - 2\sin A\cos A) + \frac{1}{2}(1 + 2\sin A\cos A)[/tex]
[tex]= 1[/tex]
Suppose C1 and C2 are physically the same curve, but they are
parameterized so that the starting point of C1 is the ending point of C2, and
the ending point of C1 is the starting point of C2.
Express
∫ C1m(x, y)D „ x + n(x, y)D „ y
in terms of
∫ C2m(x, y)D „ x + n(x, y)D „ y.
∫ C1m(x, y)D ‚x + n(x, y)D ‚y = -∫ C2 m(x, y)D ‚x + n(x, y)D ‚y.
Answers
Use the substitution method to solve the system of equations below.
y = 3x − 2x + 8y = −22
Answers
y=x+8y=-22
y=-22
x+8y=-22
x+8(-22)=-22
x=154
Solution:(154,-22)
Nadia needs 3/4 cup of orange juice for a punch recipe. She will double the recipe to make
punch for a party. Which statement is true?
Answers
Answer:
she will be using more orange juice
Answer:
she will be using more orange juice
The odometer on your car shows the total number of miles traveled up to 99,999 miles, after it turns over it starts over at 0. If the odometer shows, 98,654 miles, what will it show after a trip of 3782?
Answers
Answer:
2437miles
Step-by-step explanation:
amount left before it starts over = 999999-98654 = 1354
amount it will show = 3782-1354 = 2437
The odometer will show 2437 miles after 3782 miles if the odometer on your car shows the total number of miles traveled up to 99,999 miles, after it turns over it starts over at 0.
What is the distance?Distance is a numerical representation of the distance between two items or locations. Distance refers to a physical length or an approximation based on other physics or common usage considerations.
We have:
The odometer on your car shows the total number of miles traveled up to 99,999 miles.
Current reading = 98,654 miles
After 99,999 miles the odometer turns over it and starts over at 0
The differnece = 99999 - 98654 = 1354
After 1354 miles odometer turns over and starts over at 0
Now, take the difference between 3782 and 1354
= 3782 - 1354
= 2437 miles
After 3782 miles the meter will show 2437 miles
Thus, the odometer will show 2437 miles after 3782 miles if the odometer on your car shows the total number of miles traveled up to 99,999 miles, after it turns over it starts over at 0.
Learn more about the distance here:
brainly.com/question/26711747
#SPJ5
construct an angle that bisect 120°
Answers
Answer:
just make a 120 angle and divide it by 2, 60.
How do I solve this
4 - 2 3/9 =
Answers
Answer:
1 2/3.
Step-by-step explanation:
4 - 2 3/9
= 4 - 2 1/3
= 4 - 7/3
= 12/3 - 7/3
= 5/3
= 1 2/3
Consider the series ∑n=0∞54n. The sum of a series is defined as the limit of the sequence of partial sums, which means
Answers
(a) The n-th partial sum of the infinite series,
[tex]\displaystyle\sum_{n=0}^\infty\frac5{4^n}[/tex]
is
[tex]S_n = \displaystyle\sum_{k=0}^n\frac5{4^k} = 5\left(1+\frac14+\frac1{4^2}+\cdots+\frac1{4^n}\right)[/tex]
Multiplying both sides by 1/4 gives
[tex]\dfrac14S_n = \displaystyle\sum_{k=0}^n\frac5{4^k} = 5\left(\frac14+\frac1{4^2}+\frac1{4^3}+\cdots+\frac1{4^{n+1}}\right)[/tex]
Subtract this from [tex]S_n[/tex] and solve for [tex]S_n[/tex] :
[tex]S_n-\dfrac14S_n = 5\left(1-\dfrac1{4^{n+1}}\right)[/tex]
[tex]\dfrac34 S_n = 5\left(1-\dfrac1{4^{n+1}}\right)[/tex]
[tex]S_n = \dfrac{20}3\left(1-\dfrac1{4^{n+1}}\right)[/tex]
(your solution is also correct)
(b) The infinite sum is equal to the limit of the n-th partial sum:
[tex]\displaystyle\sum_{n=0}^\infty \frac5{4^n} = \lim_{n\to\infty} \boxed{\sum_{k=0}^n \frac5{4^k}}[/tex]
and the sum indeed converges to 20/3.
Suppose your marketing colleague used a known population mean and standard deviation to compute the standard error as 52.4 for samples of a particular size. You don't know the particular sample size but your colleague told you that the sample size is greater than 70. Your boss asks what the standard error would be if you quintuple (5x) the sample size. What is the standard error for the new sample size? Please round your answer to the nearest tenth. Note that the correct answer will be evaluated based on the full-precision result you would obtain using Excel.
Answers
Answer:
The standard error for the new sample size is of 23.4.
Step-by-step explanation:
Central Limit Theorem
The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].
For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.
Interpretation:
From this, we can gather that the standard error is inversely proportional to the square root of the sample size, that is, for example, if the sample size is multiplied by 4, the standard error is divided by the square root of 4, which is 2.
Standard error of 52.4, sample size multiplied by 5. What is the standard error for the new sample size?
The standard error of 52.4 divided by the square root of 5. So
[tex]s = \frac{52.4}{\sqrt{5}} = 23.4[/tex]
The standard error for the new sample size is of 23.4.
Suppose that a study of elementary school students reports that the mean age at which children begin reading is 5.5 years with a standard deviation of 0.7 years. Step 2 of 2 : If a sampling distribution is created using samples of the ages at which 43 children begin reading, what would be the standard deviation of the sampling distribution of sample means
Answers
Answer:
[tex]S.E = 0.108[/tex]
Step-by-step explanation:
From the question we are told that:
Mean age [tex]\=x=5.5[/tex]
standard deviation [tex]\sigma= 0.7 years.[/tex]
Sample size [tex]n=43[/tex]
Generally the equation for Standard error is mathematically given by
[tex]S.E= \sigma \bar x[/tex]
[tex]S.E= \frac{\sigma}{\sqrt n}[/tex]
[tex]S.E= \frac{0.7}{\sqrt 43}[/tex]
[tex]S.E = 0.108[/tex]
which polynomial represents the difference below?
Answers
Answer:
c. -[tex]x^{2}[/tex] + 8x + 6
Step-by-step explanation:
2[tex]x^{2}[/tex] + 7x + 6 - (3[tex]x^{2}[/tex] - x)
2[tex]x^{2}[/tex] + 7x + 6 - 3[tex]x^{2}[/tex] + x (Distributed the negative to terms inside parentheses)
-[tex]x^{2}[/tex] + 8x +6 (Combine like terms)
Find the following images in width and circumference
Answers
Step-by-step explanation:
hey guys how do you put a picture like you did ?
