a figure has a rotational ____ if it can be rotated 180 degrees or less and match the original figure
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Related Questions
Ava rose her bike a total of 11 1/2 miles. She biked 3 7/10 miles to the park and 2 3/5 miles in the park before riding home. How many miles did she ride home
Answers
The amount of miles Ava traveled to her home is 13 miles.
To find out how many miles Ava rode home, we need to subtract the miles she rode to the park and in the park from the total miles she rode. We can do this using the following equation:
total miles - miles to the park - miles in the park = miles home
First, let's convert the mixed numbers to improper fractions so we can subtract them more easily:
11 1/2 = (11*2 + 1)/2 = 23/2
3 7/10 = (3*10 + 7)/10 = 37/10
2 3/5 = (2*5 + 3)/5 = 13/5
Now we can plug these values into the equation and simplify:
23/2 - 37/10 - 13/5 = (230 - 74 - 26)/10 = 130/10 = 13
So Ava rode 13 miles home.
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Anna solved the equation 7x-1=x-1+6x and got 0=0. Was she correct? Explain how you know. If she is correct, what does her result tell about the solution(s) to the equation?
Answers
Answer:
Any value of x makes the equation true.
All real numbers Interval Notation: (−∞,∞)
Step-by-step explanation:
A plane flying with a constant speed of 25 km/min passes over a ground radar station at an altitude of 12 km and climbs at an angle of 30 degrees. At what rate, in km/min is the distance from the plane to the radar station increasing 2 minutes later?
Your answer: ____ kilometers per minute.
Hint: The law of cosines for a triangle is c²=a²+ b²-2ab cos (theta)
where theta is the angle between the sides of length a and b.
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the distance from the plane to the radar station is increasing at a rate of approximately 30.84 kilometers per minute.
What is the right-angle triangle?A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.
Given, A plane flying with a constant speed of 25 km/min passes over a ground radar station at an altitude of 12 km and climbs at an angle of 30 degrees.
We can use the law of cosines to find d:
d² = 12² + (h + 12)² - 2(12)(h + 12)cos(θ)
Since the plane is climbing at an angle of 30 degrees, we can use trigonometry to find h:
sin(30) = h / (25 km/min * 2 min)
h = 25 km/min
Now we can substitute this value of h into the equation for d and simplify:
d² = 12² + (25 + 12)² - 2(12)(25 + 12)cos(θ)
d² = 12² + 37² - 2(12)(37)cos(θ)
d² = 144 + 1369 - 888cos(θ)
d² = 1513 - 888cos(θ)
To find the rate at which d is changing, we can take the derivative of both sides of this equation with respect to time:
2dd/dt = -888(d(cos(θ))/dt)
Since the plane is flying with a constant speed of 25 km/min, we can use trigonometry to find d(cos(θ))/dt:
cos(θ) = 12/d
d(cos(θ))/dt = -(12/d²)(dd/dt)
d(cos(θ))/dt = -(12/d²)(25 km/min)
Now we can substitute these values into the equation for the rate of change of d:
2dd/dt = -888(-(12/d²)(25 km/min))
2dd/dt = (888*12)/(d²)(25 km/min)
dd/dt = (5328)/(d²) km/min
Finally, we can substitute the value we found for d into this equation to get the rate at which d is changing 2 minutes later:
d = sqrt(1513 - 888cos(θ))
θ = 30 degrees
dd/dt = (5328)/(d²) km/min
dd/dt = (5328)/(1513 - 888cos(30)) km/min
dd/dt ≈ 30.84 km/min
Therefore, the distance from the plane to the radar station is increasing at a rate of approximately 30.84 kilometers per minute.
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determine whether the series is convergent or divergent.
sigma^infinity _n = 0 ln(n^2+3/8n^2+7)
convergent divergent
if it is convergent, find its sum. (if the quantity diverges, enter diverges.)
Answers
To determine whether the series is convergent or divergent, we can use the integral test.
First, we note that the function f(x) = ln(x^2+3/8x^2+7) is continuous, positive, and decreasing for x ≥ 1.
Then, we take the integral of f(x) from 1 to infinity:
∫_1^∞ ln(x^2+3/8x^2+7) dx
We can evaluate this integral using integration by parts:
u = ln(x^2+3/8x^2+7) dv = dx
du/dx = (2x)/(x^2+3/8x^2+7) v = x
∫_1^∞ ln(x^2+3/8x^2+7) dx = [xln(x^2+3/8x^2+7)]_1^∞ - ∫_1^∞ (2x)/(x^2+3/8x^2+7) dx
We know that the limit of xln(x^2+3/8x^2+7) as x approaches infinity is infinity, so the first term evaluates to infinity.
For the second term, we can use the substitution u = x^2 to get:
∫_1^∞ (2x)/(x^2+3/8x^2+7) dx = ∫_1^∞ (2du)/(u+3/8u+7)
We can then use partial fractions to write the integrand as:
(2du)/((u/8)+7/8) - (2du)/(u+7)
We can now evaluate the integral:
∫_1^∞ (2du)/(u+3/8u+7) = [2ln(u/8+7/8)]_1^∞ = 2ln(∞/8+7/8) - 2ln(1/8+7/8) = ∞
∫_1^∞ (2du)/(u+7) = 2ln(u+7)]_1^∞ = ∞ - 2ln(8) = ∞
Since both integrals diverge, the original series diverges by the integral test. Therefore, the answer is divergent.
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Find the volume of the earth dug out from a pit 6. 5 m long 2. 4 M wide and 1. 5 m deep
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The volume of the earth dug out from a pit = 23.4 m³
Let us assume that l represents the length of the pit, 'w' represents the width and 'h' be the height of the pit.
Here, the length of the pit(l) = 6.5 m
the width of the pit (w) = 2.4 m
height of the pit(h) = 1.5 m
We need to find the volume of earth dug out from a pit.
We know that pit is of the cuboid shape.
Using the formula of volume of cuboid,
V = l × w × h
V = 6.5 × 2.4 × 1.5
V = 23.4 m³
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help!! help!! help!! help!! help!! help!! help!! help!! help!! USING THE ELIMINATION METHOD SOLVE THESE PLEASEE HELPPPO!!!!!
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Answer:
a = 15, b = -14
Step-by-step explanation:
From the question,
a/5 - b/2 = 10
Multiply all through by 10
(a/5)10 - (b/2)10 = 10×10
2a - 5b = 100...................... Equation 1
a - b = 29 ........................ Equation 2
Solving equation(1 ) and equation (2) simultaneously
using elimination method,
multiply equation (2) by 2.
2a - 2b = 58.................... Equation 3
Substract equation 3 from equation 1
2a - 2a -5b-(-2b) = 100-58
0 - 5b+2b = 42
-3b = 42
b = 42/-3
b = -14.
Substitute the value of b into equation 2
a - (-14) = 29
a +14 = 29
collect like terms
a = 29-14
a = 15.
Hence, a = 15, b =-14
In the preliminary investigation phase of the systems life cycle, which one of the following tasks would not be included?
A. Briefly defining the problem
B. Suggesting alternative solutions
C. Gathering the data
D. Preparing a short report
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A regular polygon is shown, with one of its angle measures labeled a.
If m
A z=15
B z=20
C z=23
D z=41
Evaluate the following integral using integration by parts. ∫ t^2 e^-17t dt Use the integration by parts formula so that the new integral is simpler than the original one. Choose the correct answer below. a. -2/17 t^2 e^-17t - ∫ (-1/17t^2 e^-17t) dt
b. -1/17 t^2 e^-17t - ∫ (-2/17t^2 e^-17t) dt
c. -1/17 t^2 e^-17t + ∫ (17t^2 e^-17t) dt
d. 1/17 t^2 e^17t - ∫ (2/17t e^17t) dt
Answers
Thus, the obtained function using the integration by parts: -1/17 t^2 e^-17t - ∫ (-2/17t^2 e^-17t) dt.
To evaluate the integral ∫ t^2 e^-17t dt using integration by parts, we will use the formula:
∫ u dv = uv - ∫ v du
where u and dv are functions of t that we choose appropriately. Let's choose:
u = t^2 (so that du/dt = 2t)
dv = e^-17t dt (so that v = (-1/17)e^-17t)
Using these choices, we can find du and v:
du = 2t dt
v = (-1/17)e^-17t
Now, we can apply the integration by parts formula:
∫ t^2 e^-17t dt = t^2 (-1/17)e^-17t - ∫ 2t (-1/17)e^-17t dt
Simplifying this expression, we get:
∫ t^2 e^-17t dt = (-1/17) t^2 e^-17t + (2/17) ∫ te^-17t dt
To evaluate the new integral ∫ te^-17t dt, we will use integration by parts again. This time, we will choose:
u = t (so that du/dt = 1)
dv = e^-17t dt (so that v = (-1/17)e^-17t)
Using these choices, we can find du and v:
du = dt
v = (-1/17)e^-17t
Now, we can apply the integration by parts formula again:
∫ te^-17t dt = t (-1/17)e^-17t - ∫ (-1/17)e^-17t dt
Simplifying this expression, we get:
∫ te^-17t dt = (-1/17) te^-17t + (1/289) e^-17t
Substituting this result back into our original expression, we get:
∫ t^2 e^-17t dt = (-1/17) t^2 e^-17t + (2/17) ((-1/17) te^-17t + (1/289) e^-17t))
Simplifying this expression, we get:
∫ t^2 e^-17t dt = (-1/17) t^2 e^-17t - (2/289) te^-17t - (2/4913) e^-17t
Therefore, the correct answer is (b): -1/17 t^2 e^-17t - ∫ (-2/17t^2 e^-17t) dt.
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I need help with those 2 the rest I know. I just don’t know what that means.
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Answer:
What are the problems?
Step-by-step explanation:
Which of the following are solutions to the equation sinx cosx = S? Check all that apply. . 13. 51 12 . c.플 EN D. + 12
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Given the trigonometry equation expressed as;
\(sinxcosx=\frac{1}{4}\)We are to simplify for the value(s) of 'x"
Recall from trigonometry identity that:
\(\begin{gathered} Sin2x=2sinxcosx \\ sinxcosx=\frac{sin2x}{2} \end{gathered}\)Substitute the result into the original equation to have:
\(\begin{gathered} \frac{sin2x}{2}=\frac{1}{4} \\ sin2x=\frac{1}{2} \end{gathered}\)Solve for the value of "x"
\(\begin{gathered} 2x=sin^{-1}(\frac{1}{2}) \\ 2x=30^0 \\ x=\frac{30}{2} \\ x=15 \\ x=\frac{\pi}{12} \\ \end{gathered}\)The general solution to the given trigonometry function is:
\(x=\frac{\pi}{12}+n\pi\)Question 2 points)
Simpliny
70 %
1
1
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Answer:
70% of 1/1 (1) is 0.7
Several world-class swimmers have attempted. to swim the English Channel between France and Great Britain (570 km long). Since even the best swimmers can swim only about eight kilometers per hour, about how many hours would expect it to take an expert swimmers to swim the channel?
Answers
Answer:
4hours
um...
57×10-== 4 hours
00210.0 points Assuming 69.2 heartbeats/minutes, estimate the total number of times the heart of a human beats in an average lifetime of 68.4y. Assume 365.25 days per year. Answer in units of heartbeats. Your answer must be within ±5.0% 003 10.0 points How many (whole number of) 91 kg people can safely occupy an elevator that can hold a maximum mass of exactly 1 metric ton? A metric ton is 1.000×10
3
kg. Answer in units of people. 00410.0 points A human hair is approximately 56μm in diameter. Express this diameter in meters. Answer in units of m. 00510.0 points Convert 74mi/h to m/s. 1mi=1609 m. Answer in units of m/s.
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The estimated total number of heartbeats in an average lifetime of 68.4 years is 2.9 billion heartbeats. The maximum number of 91 kg people that can safely occupy an elevator is 10 people. The diameter of human hair is 0.000056 meters.
(a) To estimate the total number of heartbeats in a lifetime, we multiply the heart rate (69.2 beats/minute) by the number of minutes in a year (60 minutes/hour * 24 hours/day * 365.25 days/year) and then multiply by the number of years in a lifetime (68.4 years). The calculation is: 69.2 beats/minute * 60 minutes/hour * 24 hours/day * 365.25 days/year * 68.4 years ≈ 2,886,699,648 beats. Therefore, the estimated total number of heartbeats in an average lifetime is approximately 2.9 billion heartbeats.
(b) To determine the maximum number of 91 kg people that can occupy the elevator, we divide the maximum mass the elevator can hold (1 metric ton or 1000 kg) by the mass of each person (91 kg). The calculation is: 1000 kg / 91 kg ≈ 10.98. Since we can only have whole numbers of people, the maximum number of people that can safely occupy the elevator is 10.
(c) To express the diameter of a human hair in meters, we convert the given diameter of 56 μm to meters by dividing by 1 million (since 1 μm = 1/1,000,000 meters). Therefore, the diameter of human hair is approximately 0.000056 meters.
(d) To convert 74 miles per hour to meters per second, we multiply the given value by the conversion factor 1609 meters/mile and divide by 3600 seconds/hour. The calculation is 74 miles/hour * 1609 meters/mile / 3600 seconds/hour ≈ 33.12 meters/second. Therefore, 74 miles per hour is approximately equal to 33.12 meters per second.
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3. Zaidi says the table does not represent a function because all of the inputs have the same output 20. Is Zaidi correct?
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From the table, the conclusion can be made that for any value of the input, the value of the output remains the same. Then the correct option is C.
What is a function?A function is an argument, concept, or regulation that demonstrates an association between two variables. Functions may be located throughout mathematics and are necessary for the expansion of significant linkages.
If the number of values of the variable 'y' is more than one for a given value of 'x', then it is not a function.
The table is given below.
x y
- 5 20
0 20
5 20
10 20
From the table, the conclusion can be made that for any value of the input, the value of the output remains the same. Then the correct option is C.
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The complete question is attached below.
The most common graphical presentation of quantitative data is a.
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The perimeter and the area of a rectangle have the same numerical value.
If the length of the rectangle is 4 units, what is the width in units of the rectangle?
Record your answer and fill in the bubbles on your answer document. Be sure to use the correct place value.
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Formula
2*(L + W) = L * W
Given
W = 3
Solution
2*(L + 3) = 3*L
2L+ 6 = 3L Subtract 2L from both sides
2L - 2L + 6 = 3L - 2L combine
6 = L
Answer: The length is 6 units long.
what is 2/3 - 1/3 I appreciate all answers!! (btw i dont wanna do all the math right now so i know how to do it i am just not in the mood of doing it rn.)
Answers
Answer:
1/3
Step-by-step explanation:
2/3-1/3=1/3
#Carry on Learning
\(0.333\) ✅
Step-by-step explanation:
\( \frac{2}{3} - \frac{1}{3} \\ = \frac{2 - 1}{3} \\ = \frac{1}{3} \\ = 0.333\)
\(\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning}}{\orange{.}}}}}\)
You have made 160 duct tape wallets to sell. If you sell 3 each day, write a function that represents this situation.
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A function that represents this situation of selling 3 duct tape wallet per day out of of 160 duct tapes wallets produced is
y = 160 - 3xHow to write the expression of the situationInformation from the problem
You have made 160 duct tape wallets to sell
If you sell 3 each day
From the information we can deduce that
assuming amount left is y and the number of days x the we have
y = 160 - 3x
Therefore we can say that the expression to represent the situation of selling 3 duct tape wallet per day is y = 160 - 3x
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12 1/3 - ( 2x + 3 2/3)
Answers
Answer:
hello there the correct answer is 16−2x
Step-by-step explanation:
What is the probability of student liking music given they already like
Answers
Answer:
So so so easy its 1 because all of them like music
Ten samples of size =8 have been collected from a production process manufacturing shafts for fuel pumps. The shaft diameter is critical and it has been measured for each shaft. The process is in statistical control. Table Q(d) (i) Analyse the values of the centre line, LCL and UCL for the x-bar and R charts using the constants given in Table Q(d). The calculated values of x-bar and R for each sample are shown below. (ii) Formulate the x-bar and R charts and plot the sample data on the charts. (iii) Appraise the information provided by the x-bar chart.
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An x-bar chart is an essential tool for monitoring and improving the production process by providing insights into the process's stability and helping to identify potential issues or improvements needed to maintain the quality of the manufactured shafts for fuel pumps.
(i) The center line (CL), lower control limit (LCL), and upper control limit (UCL) for the x-bar and R charts need to be calculated using the constants provided in Table Q(d). The values of the x-bar and R for each sample are given but are not specified in the question. The calculation of these control limits involves statistical formulas and the use of the given constants.
(ii) To formulate the x-bar and R charts, the calculated values of the x-bar and R for each sample need to be plotted on the respective charts. The x-bar chart displays the sample means over time, while the R chart shows the ranges of the samples. These charts help monitor the process and identify any points that fall outside the control limits, indicating potential process variations or abnormalities.
(iii) The x-bar chart provides valuable information about the central tendency or average of the sample measurements. By analyzing the data plotted on the x-bar chart, one can observe the stability and consistency of the production process. If the points on the x-bar chart fall within the control limits, it suggests that the process is in statistical control, meaning it is stable and producing consistent results. However, if any points exceed the control limits, it indicates that the process may be out of control, and further investigation is required to identify and address the sources of variation.
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please help, i cant figure this out!!
Answers
Answer:
a = 127° , b = 12° , c = 115°
Step-by-step explanation:
a and 53° are same- side interior angles and sum to 180° , that is
a + 53° = 180° ( subtract 53° from both sides )
a = 127°
c and 115° are alternate angles and are congruent , then
c = 115°
53° , b and c lie on a straight line and sum to 180°
53° + b + c = 180°
53° + b + 115° = 180°
b + 168° = 180° ( subtract 168° from both sides )
b = 12°
then a = 127° , b = 12° , c = 115°
Answer:
a = 127; b = 12; c = 115
Step-by-step explanation:
c =115
b = 180 - 115 - 53
b = 12
a = b + c
a = 12 + 115
a = 127
what is the range of this piecewise function
Answers
Answer as a compound inequality: \(-4 \le y < 2\)
Answer in interval notation: [-4, 2)
=============================================
Explanation:
The range is the set of all possible y outputs of a function. When dealing with a graph like this, we just look at the highest and lowest points to determine which y values are possible.
The lowest point occurs when y = -4. We include this value. So far we have \(y \ge -4\) which is the same as \(-4 \le y\)
The upper ceiling for the y value is y = 2. We can't actually reach this value because of the open hole at (-3,2). So we say that \(y < 2\)
Combine \(-4 \le y\) and \(y < 2\) to get the compound inequality \(-4 \le y < 2\)
This says y is between -4 and 2, including -4 but excluding 2.
To convert this to interval notation, we write [-4, 2) where the square bracket says to include the endpoint and the curved parenthesis says to exclude the endpoint.
n a 2 x 4 x 4 factorial design there are _____ factors and _____ treatment conditions (cells).
a. 3; 9
b. 24; 3
c. 3; 24
d. 9;3
Answers
In a 2 x 4 x 4 factorial design, there are 3 factors and 24 treatment conditions (cells). Therefore, the correct answer is option C: 3; 24.
A factorial design is a type of experimental design that involves manipulating multiple independent variables to study their effects on a dependent variable. The number of factors in a factorial design is represented by the number of independent variables, and the number of treatment conditions (cells) is represented by the product of the levels of each factor.
In this case, the 2 x 4 x 4 design has 3 factors (2, 4, and 4) and 24 treatment conditions (2 x 4 x 4 = 24). Therefore, the correct answer is option C: 3; 24.
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cuanto es (60 : 10 + 8) x 2
Answers
Answer:
28
Step-by-step explanation:
PLEASE HELP!!! I NEED TO TURN THI IN SOON !!!
Question and instructions in the image below!!!
Will mark brainliest if correct!!!
Answers
Answer:
Im pretty sure its the 3rd one
Step-by-step explanation:
I did this a while ago
write the equation of a parabola with focus and directrix
Answers
The equation of a parabola with a given focus and directrix is:
x^2 - 2ax + 2by + (a^2 + b^2 - c^2) = 0
In this equation, (a, b) represents the coordinates of the focus, and c represents the y-coordinate of the directrix. This equation describes a parabola where all points on the parabola are equidistant from the focus and the directrix.
To write the equation of a parabola with a given focus and directrix, we can use the geometric definition of a parabola. A parabola is the set of all points that are equidistant from the focus and the directrix.
Let's assume the focus is denoted as F(a, b) and the directrix is a horizontal line given by y = c. The vertex of the parabola is at the midpoint between the focus and the directrix, which is V(a, (b + c) / 2).
The distance from any point (x, y) on the parabola to the focus F(a, b) is given by the distance formula:
sqrt((x - a)^2 + (y - b)^2)
The distance from the point (x, y) on the parabola to the directrix y = c is given by |y - c|.
According to the definition of a parabola, these two distances are equal. Thus, we can set up the equation:
sqrt((x - a)^2 + (y - b)^2) = |y - c|
Squaring both sides of the equation eliminates the square root:
(x - a)^2 + (y - b)^2 = (y - c)^2
Expanding and rearranging the terms:
x^2 - 2ax + a^2 + y^2 - 2by + b^2 = y^2 - 2cy + c^2
Simplifying and canceling out the y^2 terms:
x^2 - 2ax + a^2 + b^2 - 2by = c^2 - 2cy
Rearranging the terms to obtain the standard form of the equation:
x^2 - 2ax + 2by + (a^2 + b^2 - c^2) = 0
Thus, the equation of the parabola with focus F(a, b) and directrix y = c is given by:
x^2 - 2ax + 2by + (a^2 + b^2 - c^2) = 0
Complete Question - Write the equation of a parabola with focus F(a, b) and directrix given by y = c.
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A box contains 6 bags of Doritos and 4 bags of Cheetos. Another box contains 5 cans of Coke and 3 cans of Pepsi. If you randomly pick one thing out of the first box and one thing out of the second box, what is the probability you will end up with Doritos and Coke?
A 2/5
B 1/4
C 1/2
D 3/8
Answers
Answer:
Step-by-step explanation:
okay so basically 6+4=10 so the probability of doritos is 3/5 and 5+3=8 so the probabliliy is 5/8. I think the answer is A. but i 100% could be wrong, im sorry if i am
The probability you will end up with Doritos and Coke is; P(Doritos and Coke) = 0.375
How to find the probability?We are told the components of the box are;
6 bags of Doritos
4 bags of Cheetos
Second box contains;
5 cans of Coke.
3 cans of Pepsi.
Probability of picking doritos in first box = 6/10
Probability of picking coke in second box = 5/8
Thus;
P(Doritos and Coke) = 6/10 * 5/8
P(Doritos and Coke) = 0.375
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What is the pyhtagoream thereom and how can you use it to slove right triangles
Answers
Answer:
Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
a is one leg of the right triangle.
b is another left of the right triangle.
c is the hypotenuse of the right triangle.
We use the Pythagorean Theorem to help us solve for missing side lengths of a right triangle.
how many solutions can a system of 2 linear equations in 2 variables have? give all options. explain visually, symbolically, and verbally
Answers
Symbolically, they correspond to the relationships between the coefficients of the equations.
A system of 2 linear equations in 2 variables can have one of the following three possible solutions:
One unique solution: In this case, the two lines intersect at exactly one point, and this point is the solution to the system. Visually, the two lines are not parallel, but they are not the same either. Symbolically, the system is represented as:
a1x + b1y = c1
a2x + b2y = c2
where a1, b1, c1, a2, b2, and c2 are constants, and x and y are variables.
Infinitely many solutions: In this case, the two lines coincide and are on top of each other, meaning they have the same slope and the same y-intercept. Visually, the two lines are identical. Symbolically, the system is represented as:
a1x + b1y = c1
ka1x + kb1y = kc1
where a1, b1, and c1 are constants, x and y are variables, and k is any non-zero constant.
No solution: In this case, the two lines are parallel and never intersect. Visually, the two lines are distinct and never meet. Symbolically, the system is represented as:
a1x + b1y = c1
a2x + b2y = c2
where a1, b1, c1, a2, b2, and c2 are constants, and x and y are variables, and the slope of one line is not equal to the slope of the other.
Geometrically, these cases correspond to the three possible positions of two lines in the coordinate plane. Symbolically, they correspond to the relationships between the coefficients of the equations.
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