if r = 1 and θ = 7pi/6 what is the approximate arc length?
Answers
Step-by-step explanation:
arc length = radius * angle(in radians)
arc length = 1*7pi/6
arc length =7pi/6
Answer:
3.665 units
Step-by-step explanation:
it was right
Related Questions
What is the arithmetic average return for a mutual fund that reported a return of 5 percent every year for the last 3 years?
Answers
The arithmetic average return for the mutual fund that reported a return of 5% every year for the last 3 years is 5%
The arithmetic average return for a mutual fund that reported a return of 5% every year for the last 3 years can be calculated by adding all the returns and dividing by the number of years.
Let’s calculate it in detail below:
To calculate the average return of a mutual fund that reported a return of 5% every year for the last 3 years, the following steps can be followed:
Step 1: Add the returns for the last 3 years. 5% + 5% + 5% = 15%.
Step 2: Divide the total return by the number of years. 15% / 3 = 5%.
Therefore, the arithmetic average return for the mutual fund that reported a return of 5% every year for the last 3 years is 5%.
Arithmetic average return is the sum of returns for each year divided by the number of years. It is calculated to evaluate the performance of the fund over a period of time.
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Classify the quadrilateral. Find the missing angle measure(s).
Answers
Answer:
the answer is in the picture above
Step-by-step explanation:
and so is the solution pls give branliest if you wish
An lift holds no more than 1200 pounds if you are rolling a cart that weighs 760 pounds how much more can the elevator hold?
Answers
Answer: 440
1200 - 760 = 440
Answer: 440 pounds
Step-by-step explanation:
Which statement about numbers is true?
O All whole numbers are rational numbers.
O All rational numbers are integers.
O All rational numbers are whole numb
O All integers are whole numbers.
Answers
Answer: All whole numbers are rational numbers
HOPE IT HELPED U,
PLS MARK AS THE BRAINLIEST
^_^
HELP PLEASE PLEASEE I WILL GIVE 50 POINTS
Answers
Answer:
the first one is 3 4 6 8
the cost is 9.75 i belive and then 15
Step-by-step explanation:
sorry if im wrong
BRIDGES The lower arch of the Sydney Harbor Bridge can be modeled by g(x) = - 0.0018 * (x - 251.5) ^ 2 + 118 where x in the distance from one base of the arch and g(x) is the height of the arch. Select all of the transformations that occur in g(x) as it relates to the graph of f(x) = x ^ 2
A) vertical compression
B ) translation down 251.5 units C ) translation up 118 units
D ) reflection across the x-axis
E) vertical stretch
F ) translation right 251.5 units G ) reflection across the y-axis
Answers
The transformations that occur in function g(x) as it relates to the graph of f(x) = x² are option B and C
What are the transformations of the function?In the given function, the only transformations that occur in the function g(x) as it relates to f(x) are B and C.
In option B, the translation down 251.5 units: In the original function f(x) = x², the graph is centered at the origin (0, 0). However, in g(x) = -0.0018 * (x - 251.5)² + 118, the term (x - 251.5) causes a horizontal shift to the right by 251.5 units. This means that the graph of g(x) is shifted to the right compared to the graph of f(x). Since the term is subtracted, it has the effect of shifting the graph downwards by the same amount, hence the translation down 251.5 units.
Likewise, in option C, the translation up 118 units: In the original function f(x) = x², the graph intersects the y-axis at the point (0, 0). However, in g(x) = -0.0018 * (x - 251.5)² + 118, the term 118 is added to the expression. This causes a vertical shift upwards by 118 units compared to the graph of f(x). So, the graph of g(x) is shifted upwards by 118 units.
Therefore, the transformations that occur in g(x) as it relates to the graph of f(x) = x²are a translation down 251.5 units and a translation up 118 units.
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Two similar cylinders have surface areas of 24 cm² and 54 cm². The volume of the smaller cylinder is 16ñ cm³.
What is the volume of the larger cylinder?
36 cm³
46 cm³
48 cm³
54π cm³
Answers
Answer:54pid
just did my final
What is the answer?!!
Answers
Answer:
12.
Step-by-step explanation:
Classify each number below as a rational number or an irrational number.
Answers
Answer:
i think the answer is rational, rational, rational , and irrational
Step-by-step explanation:
in that order i think
How many different orders of top-three finishers are possible? drag the tiles to the correct locations on the equation. not all tiles will be used.
Answers
Orders of top-three finishers that are possible is given as follows:
\(n P_{r}=\frac{14 !}{11 !}=2184\)
What is the permutation?In a broad sense, a permutation of a set is the rearrangement of its elements inside an already ordered set, or the arrangement of its members into a sequence or linear order. The act or process of altering an ordered set's linear order is referred to as "permutation."
What is the permutation formula?The number of possible permutations of x elements from a set of n elements is given by:
\(n P_{r}=\frac{n !}{(n-r) !}\)
The order in which the cars finish is important, hence the permutation formula is used instead of the combination formula.
In this problem, 3 cars are taken from a set of 14, hence the number of different orders is given as follows:
Using the permutation formula, it is found that the number of different orders of top-three finishers that are possible is given as follows:
\(n P_{r}=\frac{14 !}{11 !}=2184\)
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I understand that the question you are looking for is:
How many different orders of top-three finishers are possible? drag the tiles to the correct locations on the equation. not all tiles will be used.
Question 20 of 40
There are 8 seniors on the high school soccer team. Two of them will be
chosen to be co-captains. How many ways are there to choose the co-
captains?
Decide if this is a permutation or a combination, and then find the number of
ways to choose the co-captains.
A. Combination; number of ways = 28
B. Permutation; number of ways = 56
C. Permutation; number of ways = 28
O D. Combination; number of ways = 56
Answers
Answer:
A
Step-by-step explanation:
I guessed also I just took the exam
Answer:
combination; number of ways = 28
Step-by-step explanation:
nCr = (8,2) =28
When a collision occurs during the insertion of an entry to a hash table, ______ finds the next available location sequentially.
A. linear probing
B. quadratic probing
C. double hashing
Answers
When a collision occurs during the insertion of an entry to a hash table, linear probing finds the next available location sequentially.
In linear probing, when a collision happens, the algorithm looks for the next empty slot in the hash table by probing the successive locations one by one. It starts from the original hash index and moves linearly through the table until it finds an unoccupied slot. Once an available slot is found, the new entry is inserted there.
Linear probing is a simple collision resolution technique that works by sequentially probing the hash table in a linear manner. While it is straightforward to implement, one drawback of linear probing is the clustering effect, where consecutive collisions can lead to long sequences of occupied slots, reducing the efficiency of the hash table. Additionally, linear probing may cause primary clustering, where entries tend to cluster around the initial hash index.
To mitigate these issues, alternative collision resolution methods such as quadratic probing and double hashing can be used. Quadratic probing uses a quadratic function to probe the hash table, while double hashing involves applying a secondary hash function to calculate the step size for probing. These techniques help reduce clustering and improve the performance of the hash table.
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Un grupo de amigos quiere realizar una actividad de recaudación de fondos, para ello han decidido vender pizzas. La primera pizzería vende pizzas de 40 cm de diámetro a S/ 40 y otra vende pizzas de 25 cm de diámetro a S/ 25. ¿Qué pizza será recomendable que los amigos adquieran para lograr mejores ganancias?
Answers
Answer:
Los Amigos deberían comprar pizzas vendidas por la primera pizzería que cuestan S / 0.032 por cm² para obtener más ganancias.
Step-by-step explanation:
Los parámetros dados son;
El diámetro de las pizzas vendidas por la primera pizzería = 40 cm
El precio de las pizzas vendidas por la primera pizzería = S / 40
El diámetro de las pizzas vendidas por la segunda pizzería = 25 cm
El precio de las pizzas vendidas por la segunda pizzería = S / 25
El área de las pizzas vendidas por la pizzería = π × D² / 4
El área de las pizzas vendidas por la primera pizzería = π × 40² / 4≈1256.64 cm²
El costo por unidad de superficie de las pizzas vendidas por la primera pizzería = S / 40 / (1256.64 cm²) ≈ S /0.032/cm²
El área de las pizzas vendidas por la segunda pizzería = π × 25² / 4≈490.87 cm²
El costo por unidad de superficie de las pizzas vendidas por la primera pizzería = S / 25 / (490.87 cm²) ≈ S /0.051/cm²
Las pizzas vendidas por la primera pizzería que cuestan S /0.032/cm² s más baratas y producirán mejores ganancias que las pizzas vendidas por la segunda pizzería que cuestan S /0.051/cm²
Por lo tanto, los amigos deben comprar pizzas vendidas por la primera pizzería que cuestan S /0.032 / cm² para obtener más ganancias.
What is the value of x? Enter your answer in the box. X= 78°
Answers
the angles 78° and x° are opposite by vertex then have the same value
\(x=78\)List the elements in the set . Let U = {q, r, s, t, u, v, w, x, y, z} A = {q, s, u, w, y} B = {q, s, y, z} C = {v, w, x, y, z}. (B ∪ A)'
Answers
In summer2021, electric power at peak usage times costs about 0.64 $/kWh ≈ 1.8 × 10−7 $/J. An ordi-
nary electrically-powered device in a home might operateat 110 V and 0.12 A. What is the cost per second to power
such a circuit during the peak usage period?
Answers
The cost per second to power such a circuit during the peak usage period is approximately \(2.376 x 10^-6\)$/s. The cost per second to power the circuit during the peak usage period can be calculated using the following steps:
Calculate the power consumption of the device-The power consumption of the device can be calculated using the formula: Power = Voltage x Current. P = V x I, Substituting the given values:
P = 110V x 0.12A
= 13.2 W
Calculate the cost per second-The cost per second can be calculated using the formula:
Cost per second = Power x Cost per Joule
C = P x CC
= 13.2 W x 1.8 x \(10^-7\) $/J
≈ 2.376 x 10^-6 $/s
Therefore, the cost per second to power such a circuit during the peak usage period is approximately 2.376 x\(10^-6\) $/s.
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Identify the range of the step function.
A) [-1, 5)
B) [-3, 2]
C) {-1, 0, 1, 2, 3, 4}
D) {-3, -2, -1, 0, 1, 2}
Answers
performs an experiment. Harper randomly removes a chew from the bag, records the
result, and returns the chew to the bag. Harper performs the experiment 38 times.
The results are shown below:
An apple chew was selected 22 times.
A cherry chew was
selected 6 times.
A lime chew was selected 10 times.
Based on these results, express the probability that the next chew Harper removes
from the bag will be lime chew as a percent to the nearest whole number.
Answers
The probability that the next chew Harper removes from the bag will be a lime chew is 26%.
We know that there are a total of 38 chews in the bag, and that 10 of them are lime chews. This means that the probability of randomly selecting a lime chew is 10/38 = 0.2631578947. To the nearest whole number, this is 26%.
It is important to note that this is just a probability. It is possible that the next chew Harper removes from the bag will not be a lime chew. However, based on the results of the experiment, the probability is 26% that it will be.
Here are some additional details about the probability of randomly selecting a lime chew from the bag:
The probability of randomly selecting a lime chew is not guaranteed to be 26%. If Harper performs the experiment more times, the probability may change.
The probability of randomly selecting a lime chew is also affected by the number of lime chews in the bag. If Harper removes more lime chews from the bag, the probability of randomly selecting a lime chew will decrease.
The probability of randomly selecting a lime chew is also affected by the way that Harper removes the chews from the bag. If Harper does not return the chews to the bag after each selection, the probability of randomly selecting a lime chew will increase.
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?11 re raising money for their class trip by having a bake sale. If they sell okies at $0.30 apiece, then the total
number of dollars ed by the expression .7p + .3k. The class expects to The eighth graders a p cupcakes at
$0.70 apiece and kco raised at the bake sale is represent sell 110 cupcakes and 150 cookies.
Answers
The class expects to raise $122 from selling 110 cupcakes and 150 cookies at the given prices.
It seems like there is some incomplete or unclear information in your statement. However, I can provide you with some interpretation based on the information provided.
If the eighth graders sell cupcakes at $0.70 apiece and cookies at $0.30 apiece, the total amount of money raised can be represented by the expression 0.7p + 0.3k, where p represents the number of cupcakes sold and k represents the number of cookies sold.
The class expects to sell 110 cupcakes and 150 cookies. Plugging these values into the expression, we can calculate the total amount raised:
Total amount raised = (0.7 * 110) + (0.3 * 150)
= 77 + 45
= $122
Therefore, the class expects to raise $122 from selling 110 cupcakes and 150 cookies at the given prices.
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Beth enlarged the triangle below by a scale of 5. A triangle with a base of 4 centimeters and height of 3. 5 centimeters. She found the area of the enlarged triangle. Her work is shown below. One-half (4) (3. 5) (5) = 35 centimeters squaredWhat was Beth’s error?She should have divided One-half (4) (3. 5) by 5. She should have divided One-half (4) (3. 5) by 5 squared. She should have multiplied (4) (3. 5) by 5. She should have multiplied One-half (4) (3. 5) by 5 squared
Answers
Beth's error is that she multiplied (4) (3.5) by 5 instead of multiplying (1/2) (4) (3.5) by 5 squared. This statement refers to her work below.One-half (4) (3.5) (5) = 35 centimeters squared.Beth enlarged the triangle by a scale of 5. Therefore, each side of the original triangle has been multiplied by 5.
The new base is 4 cm × 5 = 20 cm, and the new height is 3.5 cm × 5 = 17.5 cm. To obtain the new area of the triangle, we'll need to use the base and height measurements of the new triangle.New area of the triangle = (1/2) (20) (17.5) = 175 square centimeters. Therefore, Beth's answer is incorrect.To obtain the new area of the triangle, she should have multiplied (1/2) (4) (3.5) by 5 squared. This calculation yields (1/2) (4) (3.5) (5^2) = 175 square centimeters. Therefore, the main answer is option D: She should have multiplied One-half (4) (3. 5) by 5 squared.
:By applying the enlargement, the base is multiplied by 5 while the height is multiplied by 5. Hence, the new height and base of the triangle are 3.5 cm × 5 = 17.5 cm and 4 cm × 5 = 20 cm respectively.Aside from that, to find the area of the enlarged triangle, we can use the following formula:A = 1/2bh. where b and h are the base and height of the triangle. Therefore, the area of the enlarged triangle is:1/2 (20) (17.5) = 175 square cm.The error occurred when she wrongly multiplied 4 cm by 3.5 cm by 5. Instead of that, she should have multiplied (1/2) (4) (3.5) by 5² = 125.
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how does the stem-and-leaf plot show the distribution of these data?
Answers
A stem-and-leaf plot shows the distribution of data by organizing the data into groups based on their leading digits, or stems. The leaves represent the individual data points within each group.
How we can understand the stem-and-leaf plot can show the distribution of these data?To create a stem-and-leaf plot, we first divide each data point into two parts: the stem, which includes all but the last digit, and the leaf, which is the last digit.
For example, if our data points are 21, 35, 42, 56, and 67, we would write:
2 | 13 | 54 | 25 | 66 | 7This is our stem-and-leaf plot. The numbers on the left represent the stems, and the numbers on the right represent the leaves.
Looking at the above stem-and-leaf plot, we can see that the data is relatively evenly distributed between the stems of 2, 3, 4, 5, and 6. The largest concentration of data points is in the stem of 5, which represents values in the 50s.
We can also see that there are no repeated values in the data set, as each leaf is unique. This tells us that there are no duplicates in our data.
Overall, the stem-and-leaf plot is a useful tool for quickly visualizing the distribution of a data set and identifying any patterns or outliers.
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A store purchased a DVD for $15.00 and sold it to a customer for 50% more than the purchase price. The customer was then charged a 7% tax when the DVD was sold. What was the customer's total cost for the DVD? Round your answer to the nearest cent.
Answers
Answer:
$24.08
Step-by-step explanation:
Step one:
given data
A store purchased a DVD for $15.00 and sold it to a customer for 50% more than the purchase price.
The increase is
=50/100*15
=0.5*15
=$7.5
Selling price
= 7.5+15
= $22.5
The tax is 7%
=7/100*22.5
=0.07*22.5
=1.575
The total cost/ amount paid is
1.575+22.5
=$24.075
=$24.08
For which values of A, B, and C will Ax + By = C be a vertical line through the point (7, 4)?
A. A = 1, B = 0, C = 4
B. A = 0, B = 1, C = 4
C. A = 0, B = 1, C = 7
D. A = 1, B = 0, C = 7
Answers
Answer:
B
Step-by-step explanation:
Let's take 7,4 as x and y respectively.
Substituting it into the formula,
We have
A(7)+B(4)=C
Checking the possible answers,
A. becomes like this
1(7)+0(4)=4
7+0=4 which is wrong.
Taking B
0(7)+1(4)=4
0+4=4 which is correct therefore we go for B.
The correct option is B. A = 0, B = 1, C = 4
The calculation is as follows:Let's take 7,4 as x and y
Now Substituting it into the formula,
A(7)+B(4)=C
A. becomes like this
1(7)+0(4)=4
7+0=4
wrong.
B
0(7)+1(4)=4
0+4=4
4 = 4
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the solution of the quadratic equation x square - 4 x + 4
Answers
Answer:
\(\rm x = 2 , 2 \)
Step-by-step explanation:
A quadratic equation is given to us and we need to find the solution of the equation. The given equation is ,
\(\implies x^2 -4x + 4 = 0 \)
Now for finding the roots of the equation , let's use the quadratic formula , or by factorising out the equation . Here I would be using the factorization method , as ,
\(\implies x^2 -4x + 4 = 0\\\\\implies x^2-2x-2x+4 = 0 \\\\\implies x(x-2) -2(x-2) = 0 \\\\\implies (x-2)(x-2) = 0 \\\\\implies x = 2, 2 \)
Hence the Solution of the equation is 2,2.
Answer:
Step-by-step explanation:
x² - 4x +4 = 0
Factorization method:
Sum = -4
Product = 4
Factor = (-2) ; (-2) {-2 * -2 = 4 & (-2) + (-2) = -4}
x² -4x + 4 = 0
x² - 2x - 2x + (-2)*(-2) = 0
x(x - 2) - 2 (x - 2) = 0
(x - 2) (x - 2) = 0
x - 2 = 0 or x -2 = 0
x = 2 or x = 2
x = 2 , 2
I need the answerrrrrrrr plsssssssss
Answers
Answer:
Hope this helps
Step-by-step explanation:
Range: 6
Number of students with 6 siblings: 1
Number of students with no siblings: 3
Number of students with 3 or more siblings: 11
Number of observations: 20
Shape of the data: Left skewed
find the value of the variable if they are in G.P.
k-5,k+1,k+5
Answers
Answer:
k is the variable
Step-by-step explanation:
What is the price of an article costing
Rs 1300 after levying 13 value Added Tax
find it
SP-?
CP-1300
VAT% - 13%
Answers
Answer: Rs 1469
Step-by-step explanation:
Coat of item = RS 1300
Value added tax = 13%
The price of the item will then be calculated as:
= 1300 + (1300 × 13%)
= 1300 + (1300 × 0.13)
= 1300 + 169
= Rs 1469
WILL GIVE BRAINLIEST!!!!!!!!!!!!
How do you find the surface area of a triangular prism?
Answers
As the surface area will be expressed in square units.
To find the surface area of a triangular prism, you need to calculate the area of each face and add them together. A triangular prism has three rectangular faces and two triangular faces.
To calculate the area of a triangular face, you need the base and height of the triangle. Multiply the base length by the height, and then divide the result by 2. Repeat this process for both triangular faces.
To find the area of a rectangular face, you need the length and width of the rectangle. Multiply the length by the width to obtain the area. Repeat this process for all three rectangular faces.
Finally, add the areas of all the faces together to get the total surface area of the triangular prism.
Remember to label the units correctly, as the surface area will be expressed in square units.
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The total surface area of the triangular prism is sum of areas of individual shapes that make up the prism
Finding the surface area of the triangular prismFrom the question, we have the following parameters that can be used in our computation:
The triangular prism
The surface area of the triangular prism is calculated as
Surface area = sum of areas of individual shapes that make up the net of the triangular prism
Take for instance, we use the attached figure
Using the above as a guide, we have the following:
Area = 1/2 * 10 * 24 * 2 + 11 * 26 + 10 * 11
Evaluate
Area = 636
Hence, the surface area is 636 square meters
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4. GROCERIES Lila wants to spend no
more than $22 at the grocery store.
The receipt below shows what Sila
bought and what each item cost. The
price of the last item is missing.Whe
is the maximum cost of the pizza?
Sales Recepit
Bread $2.79
Roast $9.12
Coffee $6.50
Pizza
Answers
Answer:
The maximum price for the pizza is $3.59
Step-by-step explanation:
Add up all the prices, which will get you to $18.41
Then subtract 18.41 from 22 and you should get 3.59 (22 - 18.41 = 3.59)
Answer:
22 - 2.79 - 9.12 - 6.50 = 3.59
maximum cost of pizza $3.59
Suppose an experiment was done to gather data on the number of unpopped kernels of microwave popcorn. Half of the students in your class took home a bag, put it in the freezer overnight, and popped it the next day. The other half took the bag, left it on their kitchen counter overnight, and popped it the next day. Each group counted the number of unpopped kernels. Could the methods from this chapter be used to compare the two means?
Answers
Since the population is normal and two samples are drawn from the same population the method of difference of the sample means can be used to calculate the confidence intervals and test the hypothesis of μ frozen< μ counter.
The normal population is one which the values are distributed evenly above and below the mean.
The difference of sample means method is used to find out whether the two means are less, equal , or greater than each other.
The confidence interval is constructed to find out how much sure we are about a certain thing.
For example in the given question the we want to know that how much the frozen kernel means is greater than the counter kernels means.
The hypothesis is the statements which we prove by applying the different tests to find out the confidence intervals.
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