Answer:
92.14
Hope this helps!
Step-by-step explanation:
To find the area of the figure, you need to find the area of the rectangle and the semi-circle.
13 × 6 = 78, the area of the rectangle is 78.
The area of the semi-circle can be found using the formula \(\frac{\pi r^{2} }{2}\), the diameter is 6 so the radius is 3.
\(\frac{\pi 3^{2} }{2} =\frac{\pi 9}{2} =\frac{9\pi }{2} = \frac{28.27433...}{2} = 14.1371...\)
14.137 + 78 = 92.137 or 92.14.
Luis walked for 16 minutes. Natalie walked for w minutes. Luis walked twice as long as Natalie. How long did Natalie walk? Which equation represents this situation. w/2=16 2/w=16 16w=2 2w=16
Answer: 2w = 16
Step-by-step explanation:
From the question, we are informed that Luis walked for 16 minutes while Natalie walked for w minutes and that Luis walked twice as long as Natalie.
The number of minutes that Natalie walk will be:
2 × w = 16
2w = 16
Solving further will be:
2w = 16
w = 16/2
w = 8
Natalie walked for 8 minutes
Answer:
8 minutes
Step-by-step explanation:
First, you need to divide 16 by 2 which it is 8.
Hope this help!
The bearing of Measham from Tamworth is 052°
Calculate the bearing of Tamworth from Measham.
Answer:
232°
Step-by-step explanation:
1. 180-52=128
2. 360-128=232
first you subtract 52 from 180 bc you have to get the angle not included for calculating the whole bearing bc the starting point is the north line. so everything before the north line is not valid bc when you're calculating an angle like this you go from lef to to right, clockwise. in every calculation of bearings you go clockwise. next you just subtract the product you got from 360 and that's it.
hope it didn't sound too complicated.
Rebekah performed an experiment with a standard number cube. She rolled the cube and recorded the results in the frequency table. The frequency table is given below. Find the experimental probability of the cube landing on three.
Answer:
Step-by-step explanation:
The experimental probability of the cube landing on three is 1/10.
A square is inscribed in a circle of diameter 12 millimeters. What is the area of the shaded region?
A square is inscribed in a circle with a diameter of 12 StartRoot 2 EndRoot millimeters. Everything outside of the square is shaded.
Recall that in a 45 – 45 – 90 triangle, if the legs each measure x units, then the hypotenuse measures x units.
(72π – 144) mm2
(72π – 72) mm2
(288π – 288) mm2
(288π – 144) mm2
Answer:
(72π – 144) mm2
Step-by-step explanation:
you must find the area of the circle which is 72
and then find the area of the square which is 144
Answer:
(72π – 144) mm2
Step-by-step explanation:
0.05 Divided by 0.02
Answer:
The answer is 2.5
o.o5 divided by o.o2 is 2.5
How to solve this?Find the value of the variables. (Lines that appear parallel are parallel.)
Answer:
the value of the product
Molly and henry went shopping for books molly bought 7 books for $42 and henry bought 8 book for $52 who got the better buy
Explain and show work
Answer:
Molly
Step-by-step explanation:
because molly had
42 divided by 7
that gave her 6$ per book.
But Henry has
52 divided by 8
which is about 6.5.
That's why molly got the better deal.
If 28 eraser were sold and 8 notebooks were sold, how many MORE eraser were sold then notebooks?
Answer:
20 erasers
Step-by-step explanation:
We can find our answer by subtracting the amount of notebooks sold from the amount of erasers sold.
28 - 8 = 20
Answer: 20
Step-by-step explanation: 20 because if you do this 28 - 8 it would equal 20
Determine whether the equation is an identity or whether it has no solution. 2(a-3)=4a(2a-6)
Answer:
It has no solution.
Answer:
Actually i think it does have a solution, if it does it would be a=1/4, 3
If i'm wrong i am very sorry..... So, if that not right then your answer is that it has no solution.....
Stay safe and have a Merry Christmas!!!!!!! :D
4−5∣6−4x∣=-16 really neeed help please
Answer:
Exact Form:
x
=
1
2
,
5
2
x
=
1
2
,
5
2
Decimal Form:
x
=
0.5
,
2.5
x
=
0.5
,
2.5
Mixed Number Form:
x
=
1
2
,
2
1
2
Step-by-step explanation:
Find the slope through the pair of points: (-20, -4) and (-12, -10)
Answer: 6/8 or 3/4
Step-by-step explanation:
so you get (-20,-4) and (-12,-10) you do -4-10 witch is 6 then you do -20-12 witch is 8 you put 6 up top its your numerator and 8 on the bottom because its you denominator
Graph a point at (-2,3) and
a point at (2, 3).
The graph with a point at (-2,3) and a point at (2,3) is shown below.
Here's a graph with a point at (-2,3) and a point at (2,3):
y
^
|
| ● (2,3)
|
| (x, y)
|
|
|__________________________→ x
The point (-2,3) is represented by a dot (●) on the left side of the x-axis at y = 3. The point (2,3) is represented by a dot (●) on the right side of the x-axis at y = 3.
Both points share the same y-coordinate, indicating that they lie on a horizontal line.
The graph locating the points (-2, 3) and (2, 3) is attached below.
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suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 2.4 and a mean diameter of 209 inches. if 69 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would be less than 209.1 inches? round your answer to four decimal places.
Answer:
To solve this problem, we need to use the central limit theorem, which states that the distribution of the sample means approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.
Given that the sample size is n = 69, the mean diameter of the population is μ = 209 inches, and the standard deviation of the population is σ = 2.4 inches.
We need to find the probability that the mean diameter of the sample shafts would be less than 209.1 inches, which can be written as:
P(X < 209.1)
To solve this problem, we need to use the central limit theorem, which states that the distribution of the sample means approaches a normal distribution as the sample size increases, regardless of the shape of the population distribution.
Given that the sample size is n = 69, the mean diameter of the population is μ = 209 inches, and the standard deviation of the population is σ = 2.4 inches.
We need to find the probability that the mean diameter of the sample shafts would be less than 209.1 inches, which can be written as:
P(X < 209.1)
To standardize this value, we need to calculate the z-score as follows:
z = (X - μ) / (σ / sqrt(n))
z = (209.1 - 209) / (2.4 / sqrt(69))
z = 0.4639
We can now find the probability using the standard normal distribution table or a calculator:
P(Z < 0.4639) = 0.6779
Therefore, the probability that the mean diameter of the sample shafts would be less than 209.1 inches is approximately 0.6779, rounded to four decimal places.
In this case, the population mean is 209 inches, and the sample mean we're interested in is 209.1 inches. So the z-score would be:
z = (209.1 - 209) / 0.2898 = 0.3456
Therefore, the probability that the mean diameter of the sample shafts would be less than 209.1 inches is 0.6368, rounded to four decimal places.
To answer your question, we will use the Central Limit Theorem and the z-score formula. Here are the steps:
we can use the formula for the z-score of the sample mean, which is:
z = (sample mean - population mean) / standard error
1. Find the mean (μ) and standard deviation (σ) of the population.
μ = 209 inches
σ = 2.4 inches
2. Determine the sample size (n) and the mean diameter you want to calculate the probability for (x).
n = 69
x = 209.1 inches
3. Calculate the standard error (SE) of the sample mean using the formula: SE = σ / √n
SE = 2.4 / √69 ≈ 0.2892
4. Calculate the z-score using the formula: z = (x- μ) / SE
z = (209.1 - 209) / 0.2892 ≈ 0.3455
5. Find the probability that the mean diameter of the sample shafts would be less than 209.1 inches by looking up the z-score in a z-table or using a calculator that can compute normal probabilities.
P(Z < 0.3455) ≈ 0.635
The probability that the mean diameter of the sample shafts would be less than 209.1 inches is approximately 0.6350 or 63.50%.
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Convert the following equation to Cartesian coordinates and describe the resulting curve. Convert the following equation to Cartesian coordinates. Describe the resulting curve. R= -8 cos theta + 4 sin theta Write the Cartesian equation. A. The curve is a horizontal line with y-intercept at the point. B. The curve is a circle centered at the point with radius. C. The curve is a cardioid with symmetry about the y-axis. D. The curve is a vertical line with x-intercept at the point. E. The curve is a cardioid with symmetry about the x-axis
The resulting curve is a limaçon (a type of cardioid) with a loop. It is centered at the origin and has an inner loop with a radius of 4/5 and an outer loop with a radius of 8/5. The curve has symmetry about both the x-axis and the y-axis. Option C is Correct.
To convert the equation R = -8 cos(θ) + 4 sin(θ) to Cartesian coordinates, we can use the following equations:
x = R cos(θ)
y = R sin(θ)
Substituting the given equation, we get:
x = (-8 cos(θ) + 4 sin(θ)) cos(θ)
y = (-8 cos(θ) + 4 sin(θ)) sin(θ)
Simplifying these equations, we get:
x =\(-8 cos^2\)(θ) + 4 cos(θ) sin(θ)
y = -8 cos(θ) sin(θ) + \(4 sin^2\)(θ)
Simplifying further using the identity we get:
x = -8/5 + 4/5 cos(2θ)
y = 4/5 sin(2θ)
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a pole that is 3m tall casts a shadow that is 1.4m long. at the same time, a nearby tower casts a shadow that is 39.5m long. how tall is the tower? round your answer to the nearest meter.
The nearby tower that casts a shadow that is 39.5 m long is 85 m tall.
Ratio is the relationship between two quantities, normally expressed as the quotient of one divided by the other.
The ratio of the shadow of a pole to its length is 1.4 m : 3 m.
At the same time, the ratio of the shadow of a tower to its length should also be equal to the ratio of the shadow of a pole to its length, which is 1.4 : 3.
Let x = length of the tower
Using proportion, determine the length of the tower by solving for x.
1.4 : 3 = 39.5 m : x
x = 39.5(3)/1.4
x = 84.64
Round off to the nearest meter.
length of the tower = 85 meters
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write an anonymous function to compute the euclidean distance given two points (x1, y1) and (x2, y2). use the following equation to calculate the distance.
The anonymous function to compute the euclidean distance given two points (x1, y1) and (x2, y2) is ``python
euclidean_distance = lambda x1, y1, x2, y2: ((x2 - x1)**2 + (y2 - y1)**2)**0.5.
To compute the Euclidean distance given two points (x1, y1) and (x2, y2). Here's the step-by-step explanation using the Euclidean distance equation:
1. Recall the Euclidean distance equation: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
2. Use an anonymous function, which is a function without a name, typically represented using the "lambda" keyword in programming languages like Python.
3. Define the function parameters as the coordinates of the two points: (x1, y1) and (x2, y2).
4. Implement the Euclidean distance equation inside the anonymous function.
Here's an example using Python:
```python
euclidean_distance = lambda x1, y1, x2, y2: ((x2 - x1)**2 + (y2 - y1)**2)**0.5
```
Now you can use this anonymous function to compute the Euclidean distance between any two points (x1, y1) and (x2, y2) by calling it with the appropriate arguments:
```python
distance = euclidean_distance(1, 2, 4, 6)
print(distance) # Output: 5.0
```
This example demonstrates how to write an anonymous function to compute the Euclidean distance given two points (x1, y1) and (x2, y2).
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What is one ten to the zeroth power?
Answer:
1
Step-by-step explanation:
hope this helps!
1. Kate is 3 years older than John and 5 years younger than Carri. If John is 12 years old, how old is
Carri?
Answer:
20
Step-by-step explanation:
12 + 3 = 15
15+5=20
Answer: 20
Step-by-step explanation: 12 + 3 = 15
15+5=20
(For 160,000 it takes 18ms to sort each half. Then merging together the two sorted halves with 80,000 numbers in each of them takes 40-218 = 4 ms. For 320,000 elements, it will take 240 to sort each half and 24 to merge the sorted halves with 160,000 numbers in each, for the total of 240+8 = 88 ms.)
For a larger input size of 320,000 elements, it will take 240 ms to sort each half and 24 ms to merge the sorted halves, resulting in a total time of 264 ms.
The given information describes the time required for sorting and merging operations on two different input sizes. For 80,000 elements, it takes 18 ms to sort each half, resulting in a total of 36 ms for sorting. Merging the two sorted halves with 80,000 numbers in each takes 40 - 18 = 22 ms.
When the input size is doubled to 320,000 elements, the sorting time for each half increases to 240 ms, as it scales linearly with the input size. The merging time, however, remains constant at 4 ms since the size of the sorted halves being merged is the same.
Thus, the total time for sorting and merging 320,000 elements is the sum of the sorting time (240 ms) and the merging time (4 ms), resulting in a total of 264 ms.
Therefore, based on the given information, the total time required for sorting and merging 320,000 elements is 264 ms.
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Solve for x. what is x-5=15
Answer:
x=20
Step-by-step explanation:
Answer:
x=20
Step-by-step explanation:
20-5=15
To the nearest foot,what distance is Kentucky avenue between E. capital street and Independence avenue
The distance between Kentucky Avenue between E. Capitol Street and Independence Avenue is 5760 feet (to the nearest foot).
To the nearest foot, To find the distance between two points, we use the distance formula, which is as follows: d = \(sqrt[(x2 - x1)^2 + (y2 - y1)^2] \\\)
Let's assume the coordinates of these two points. The coordinates of the first point (E. Capitol Street, Kentucky Avenue) are (x1, y1) = (0, 0). The coordinates of the second point (Independence Avenue, Kentucky Avenue) are (x2, y2) = (2400, 0).The distance between these two points can be calculated by using the distance formula as follows:
\(d = sqrt[(x2 - x1)^2 + (y2 - y1)^2]\)
\(d = sqrt[(2400 - 0)^2 + (0 - 0)^2]\)
\(d = sqrt[2400^2]\)
d = 5760 feet.
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A polar bear starts at the North pole. It travels 1km South, then 1km East, then 1km North to return to its starting point. This trip takes 0.5h. What was the bear's average velocity (in km/h)?
Answer:
6 km/h
Step-by-step explanation:
A polar bear starts at the North pole. It travels 1km South
Total distance traveled so far: 1 km
then 1km East
Total distance traveled so far: 2 km
then 1km North to return to its starting point.
Total distance traveled so far: 3 km
speed = distance/time
speed = 3 km / 0.5 h
speed = 6 km/h
Simplify to a single power of 2:
2^8/2^5
Answer:
2^3
Step-by-step explanation:
Let's call the base number x, the first power a, and the second power b. For any number that follows the pattern:
x ^a/x^b
To simplify this, you just subtract a from b and make that number the new power of x.
x ^a/x^b = x^(a-b)
This will work with any equation following this example.
2 ^8/2^5
2 ^ (8-5) = 2^3
:)
twice the number is equal to 15 more than 5 times the number. What is the number
Answer:
35 answer
Step-by-step explanation:
I hope it help
Using Simpson's rule, the is the area bounded by the curves, y² -
3x +3 and x = 4
The area bounded by the curves y² - 3x + 3 and x = 4 can be determined using Simpson's rule.
Simpson's rule is a numerical method used to approximate the definite integral of a function over a given interval. It divides the interval into smaller subintervals and approximates the integral by fitting parabolic curves to these subintervals. The area under the curve is then estimated by summing up the areas of these parabolic curves.
In this case, the first step is to find the points of intersection between the curves y² - 3x + 3 and x = 4. By setting y² - 3x + 3 equal to x = 4, we can solve for the values of y. Once we have the points of intersection, we can use Simpson's rule to approximate the area between the curves. Simpson's rule involves dividing the interval between the points of intersection into an even number of subintervals and using a specific formula to calculate the area for each subinterval. Finally, we sum up the areas of these subintervals to obtain an approximation of the total area bounded by the curves.
By following this process, we can use Simpson's rule to estimate the area bounded by the curves y² - 3x + 3 and x = 4.
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Granny smith is making strawberry jelly. She fills 6 1/2 ounce jars to give as gifts Granny was able to fill 8 jars. How many ounces of strawberry jelly did granny smith make?
Answer:
52 ounces
Step-by-step explanation:
6 1/2 * 8 = 52 ounces
linear equations: word problems UFG
Savannah is very good at keeping her school binder organized. Every time her teacher
returns an assignment, Savannah puts it in the right section. Savannah has 132 assignments
in the history, science, and art sections combined. The rest of her assignments are in the
math section. Savannah has 197 assignments in total.
Use an equation to find the number of assignments in the math section of Savannah's binder.
assignments
Submit
The equation to find the number of assignments in the math section of Savannah's binder is 197 = x + 132
EquationAssignment in the history, science, and art sections combined = 132 assignmentAssignment in the math section = xTotal assignment = 197 assignmentsTotal assignment = Assignment in math + Assignment in other subjects
197 = x + 132
197 - 132 = x
65 = x
Therefore, the equation to find the number of assignments in the math section of Savannah's binder is 197 = x + 132
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Isolate y in terms of x
15x-3y=12
Step-by-step explanation:
-3y=12-15x
y=12-15x/-3
y=5x-4
Answer:
y = 1/5y + 4/5
Step-by-step explanation:
15x = 3y + 12
y = 3/15y + 12/15
y = 1/5y + 4/5
The table below shows the value of a particular car over time
The model that is more appropriate for modelling the data would be an exponential model.
Why is the exponential model better ?An exponential function aptly captures the dynamics of a changing dependent variable (in this scenario, the car's value) at an accelerating or decelerating pace over time. As the years accumulate, the car's value experiences a decrement, showcasing a trend that aligns harmoniously with the principles of exponential decay.
Conversely, a linear function assumes a fixed rate of change, which might not adequately represent the descending trajectory of the car's value across time. Linear functions imply a consistent devaluation year by year, whereas the available information suggests a gradual diminishing of the rate of decrease.
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The question is:
Determine whether a linear or exponential function is more appropriate for modeling this data. Explain your choice.
Given v =(-12,-4), what are the magnitude and direction of v? Round the magnitude to the thousandths place and the direction to the nearest degree.
11.314; 18°
11.314; 198°
12.649; 18°
12.649, 198°
Step-by-step explanation:
Magnitude = sqrt ( (-12)^2 + (-4)^2 ) = sqrt 160 = 12.649
Angle = arctan(-4/-12) = 198 degrees
The Magnitude: 12.649 and Direction: 18° (option c).
To find the magnitude and direction of the vector v = (-12, -4), we can use the following formulas:
Magnitude (or magnitude) of v = |v| = √(vₓ² + \(v_y\)²)
Direction (or angle) of v = θ = arctan(\(v_y\) / vₓ)
where vₓ is the x-component of the vector and \(v_y\) is the y-component of the vector.
Let's calculate:
Magnitude of v = √((-12)² + (-4)²) = √(144 + 16) = √160 ≈ 12.649 (rounded to the thousandths place)
Direction of v = arctan((-4) / (-12)) = arctan(1/3) ≈ 18.435°
Since we need to round the direction to the nearest degree, the direction is approximately 18°.
So, the correct answer is:
Magnitude: 12.649 (rounded to the thousandths place)
Direction: 18° (rounded to the nearest degree)
The correct option is: 12.649; 18°
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