Find the average of the list of Fahrenheit temperatures.
- 17°, 2°, -90,30, 12°, -5°, and 7°F
Answers
Answer:
-8.71428571
Step-by-step explanation:
Calculator gl
Related Questions
3] Question 5 Consider the vector field F(x, y, z) = y cos (xy) i + x cos (xy)j – sin zk. (i) Calculate the curl of the vector field F. State whether F is conservative. (ii) Let C be the curve joining the origin (0,1,-1) to the point with coordinates (1, 2V2,2) defined by the following parametric curve r(t) = n* i + t}j + tcos atk, 15t52. Calculate the scalar line integral of the vector field. F. dr. F.dr.
Answers
Given vector field, F(x, y, z) = y cos (xy) i + x cos (xy) j – sin z k To calculate the curl of F, we need to take the curl of each component and subtract as follows,∇ × F = ( ∂Q/∂y - ∂P/∂z ) i + ( ∂P/∂z - ∂R/∂x ) j + ( ∂R/∂x - ∂Q/∂y ) k...where P = y cos(xy), Q = x cos(xy), R = -sin(z)
Now we calculate the partial derivatives as follows,
∂P/∂z = 0, ∂Q/∂y = cos(xy) - xy sin(xy), ∂R/∂x = 0...
and,
∂P/∂y = cos(xy) - xy sin(xy), ∂Q/∂z = 0, ∂R/∂y = 0
Therefore,
∇ × F = (cos(xy) - xy sin(xy)) i - sin(z)j
The curl of F is given by:
(cos(xy) - xy sin(xy)) i - sin(z)j.
To state whether F is conservative, we need to determine if it is a conservative field or not. This means that the curl of F should be zero for it to be conservative. The curl of F is not equal to zero. Hence, the vector field F is not conservative. Let C be the curve joining the origin (0,1,-1) to the point with coordinates (1, 2V2,2) defined by the following parametric curve:
r(t) = n* i + t}j + tcos atk, 15t52.
The curve C is defined as follows,r(t) = ni + tj + tk cos(at), 0 ≤ t ≤ 1Given vector field, F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk Using the curve parameterization, we get the line integral as follows,∫CF.dr = ∫10 F(r(t)).r'(t)dt...where r'(t) is the derivative of r(t) with respect to t
= ∫10 [(t cos(at))(cos(n t)) i + (n cos(nt))(cos(nt)) j + (-sin(tk cos(at)))(a sin(at)) k] . [i + j + a tk sin(at)] dt
= ∫10 [(t cos(at))(cos(n t)) + (n cos(nt))(cos(nt)) + (-a t sin(at) cos(tk))(a sin(at))] dt
= ∫10 [(t cos(at))(cos(n t)) + (n cos(nt))(cos(nt)) - a^2 (t/2) (sin(2at))] dt
= [sin(at) sin(nt) - (a/2) t^2 cos(2at)]0^1
= sin(a) sin(n) - (a/2) cos(2a)
The vector field F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk is given. Firstly, we need to calculate the curl of F. This involves taking the curl of each component of F and subtracting. After calculating the partial derivatives of each component, we get the curl of F as (cos(xy) - xy sin(xy)) i - sin(z)j. Next, we need to determine whether F is conservative. A conservative field has a curl equal to zero. As the curl of F is not equal to zero, it is not a conservative field. In the second part of the problem, we have to calculate the scalar line integral of the vector field F. dr along the curve C joining the origin to the point with coordinates (1, 2V2, 2). We use the curve parameterization to calculate the line integral. After simplifying the expression, we get the answer as sin(a) sin(n) - (a/2) cos(2a).
The curl of the given vector field F(x, y, z) = y cos(xy) i + x cos(xy)j – sin zk is (cos(xy) - xy sin(xy)) i - sin(z)j. F is not conservative as its curl is not zero. The scalar line integral of the vector field F along the curve C joining the origin to the point with coordinates (1, 2V2,2) is sin(a) sin(n) - (a/2) cos(2a).
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* ill mark u BRAINLIEST *
Alexa had $68, she spent $24 at the library, and $35 at the shoe store. Determine if she can afford a $12 shirt. Explain your answer.
Answers
Answer:
No
Step-by-step explanation:
$68 - $24 - $35 = $9
$9 < $12
Therefore, Alexa can't afford to buy a $12 shirt
Answer:
no
Step-by-step explanation:
24+35=59
59+12=71
so, it does not work
who proposed that a punched card be used for counting the census?
Answers
Herman Hollerith proposed the use of punched cards for counting the census.
The punched card system for counting the census was proposed by Herman Hollerith. Hollerith was an American inventor and statistician who developed the punched card tabulating machine. He presented his idea in the late 19th century as a solution to the challenge of processing and analyzing large amounts of data efficiently.
Hollerith's system involved encoding information on individual cards using punched holes to represent different data points. These cards were then processed by machines that could read and interpret the holes, enabling the automatic counting and sorting of data. The punched card system revolutionized data processing, making it faster and more accurate than manual methods.
Hollerith's invention laid the foundation for modern computer data processing techniques and was widely adopted, particularly by government agencies for tasks like the census. His company eventually became part of IBM, which continued to develop and refine punched card technology.
In summary, Herman Hollerith proposed the use of punched cards for counting the census. His invention revolutionized data processing and laid the groundwork for modern computer systems.
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2^(x+3) = ((1)/(8))^(x+2) solve for x
step by step exlanation
Answers
x = −9/4
Decimal Form:
x = − 2.25
Mixed Number Form:
x = −2 1/4
Please help me I am really confused and need help with this.
Answers
Answer:
Step-by-step explanation:
y=10
Yellow Taxi service charges a $15 flat fee plus $2.50 per mile traveled
Answers
Answer:
17.5 US$
Step-by-step explanation:
$15+$2.50
Simple addition
The picturegram shows information about CDs sold in a shop.
1 . How manny CDs were sold on Wednesday | Key = 3 |
2. How manny more CDs were sold on Thursday than Wednesday?
**If you know the answer let me know!**
Answers
Answer:
i believe number 1 is 18 and number 2 is 9.
Step-by-step explanation:
if one full circle represents 6 CDs then on wednesday 18 Cds were sold because 6+6+6=18 and on thursday they sold 9 more Cds than on wednesday because they sold 6+6+6+6+3 which equals 9.
An experiment involves selecting a random sample of 256 middle managers for study. One item of interest is their annual incomes. The sample mean is computed to be $35,420.00. If the population standard deviation is $1,850.00, what is the standard error of the mean
Answers
The standard error of the mean is approximately $115.63.
The standard error of the mean (SEM) measures the variability or uncertainty in the sample mean compared to the true population mean. It indicates the average amount that the sample mean differs from the population mean.
To calculate the standard error of the mean, we use the formula:
SEM = σ / √n
Where:
SEM: Standard error of the mean
σ: Population standard deviation
n: Sample size
Given information:
Population standard deviation (σ) = $1,850.00
Sample size (n) = 256
Plugging in the values into the formula, we can calculate the standard error of the mean:
SEM = 1850 / √256
To simplify the calculation, let's first calculate the square root of 256:
√256 = 16
Now, we can divide the population standard deviation by the square root of the sample size:
SEM = 1850 / 16
Simplifying the fraction, we have:
SEM = 115.625
Therefore, the standard error of the mean is approximately $115.63.
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F={(12,10),(17,-7),(34,10),(51,1)} range
Answers
Answer: The range of the function is {10, -7, 1}.
Step-by-step explanation:
An exponential formula that can be used to model the growth of the population of Lalaland from 1980 through 2000 is as follows:
\displaystyle f\left(t\right)=2,500\left(1. 02\right)^{t}f(t)=2,500(1. 02)
t
where 2,500 represents the Lalaland population in the year 1980, and t represents the number of years after 1980.
What is the percent change each year?
Answers
The percent change each year in the population of Lalaland is 2%.
The exponential formula that can be used to model the growth of the population of Lalaland from 1980 through 2000 is f(t) = 2,500(1.02)ⁿ, where n is the number of years after 1980.
The population in Lalaland in the year 1980 is represented by 2,500.
Let’s evaluate the value of the population in Lalaland in 2000.In the year 2000, t = 20 since the year 1980 is the first year and 2000 is 20 years after 1980.Therefore, f(20) = 2,500(1.02)²⁰ ≈ 5,302.
So, the population of Lalaland in the year 2000 was about 5,302 people. Now let’s calculate the percent change each year.
The percent change each year is the growth rate that is calculated by subtracting 1 from the growth factor and multiplying the result by 100.
Therefore, the percent change each year is given by;Percent Change = (1.02 - 1) × 100%Percent Change = 0.02 × 100%Percent Change = 2%.
Therefore, the percent change each year is 2%.
The exponential formula that can be used to model the growth of the population of Lalaland from 1980 through 2000 is f(t) = 2,500(1.02)ⁿ, where n is the number of years after 1980.
The population in Lalaland in the year 1980 is represented by 2,500. In the year 2000, t = 20 since the year 1980 is the first year and 2000 is 20 years after 1980. Therefore, f(20) = 2,500(1.02)²⁰ ≈ 5,302.
So, the population of Lalaland in the year 2000 was about 5,302 people.
The percent change each year is the growth rate that is calculated by subtracting 1 from the growth factor and multiplying the result by 100.
Therefore, the percent change each year is given by;Percent Change = (1.02 - 1) × 100%Percent Change = 0.02 × 100%Percent Change = 2%
The percent change each year in the population of Lalaland is 2%.
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Look at this graph: 100 90 70 60 50 40 30 20 10 0 30 50 60 70 What is the slope? Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answers
Answer:
Step-by-step explanation:
Nose amigo si supiera te ayudaría mucho
Answer:
Save your graph and ask the question again, I don't understand.
Step-by-step explanation:
probability of rolling a
number less than 3 or rolling an odd number.
Answers
Answer:
1/3
that is the answer
What is the answer ?Pls help!
Answers
jeremy can solve a rubik's cube in 4minutes. michael is very fast and can solve 5 cubes in 12 minutes. working together what is the fewest number of minutes it will take for them to solve 10 cubes?
Answers
The fewest number of minutes it will take Jeremy and Michael to solve 10 Rubik's cube is 16 with a speed such that Jeremy solve one in 4 minutes and Michael solves 5 in 12 minutes.
To solve the following word problem,
Time taken by Jeremy to solve one cube = 4 minutes = 240 seconds
Time taken by Michael to solve 5 cubes = 12 minutes
Time taken by Michael to solve 1 cube = \(\frac{12}{5}\) minutes = 144 seconds
Since one solves the cube alone, they do it individually,
For the first 12 minutes, Michael solves 5 cubes and Jeremy solves 3 cubes (\(\frac{12}{3}\))
Then, to solve 2 or more cubes Michael takes 288 seconds
And if Michael and Jeremy each solve one cube it takes them 144 seconds and 240 seconds respectively.
Therefore, the second situation is responsible for solving in the least time which comes out to be 12 minutes + 4 minutes (240 seconds) is 16 minutes.
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Evaluate x^-2y0/x^3y^-2 when x = 2 and y = 5.
Answers
Answer:
25/32
Step-by-step explanation:
To evaluate the expression
\(\frac{x^{-2}y^{0} }{x^{3}y^{-2} }\)
First we replace x and y by the given values
So x becomes 2 and y becomes 5
\(\frac{2^{-2}5^{0} }{2^{3}5^{-2} }\)
Expressions with negative exponents in the numerator always go to the denominator with positive exponent and on the denominator goes to the numerator with positive exponent
\(\frac{5^{2}5^{0} }{2^{3} 2^{2} }\)
Simplify
\(\frac{25*1 }{8*4 }\)
Which is
\(\frac{25}{32}\)
Question 90
The quality of milk reaching the ultimate consumer is largely determined
a. at the plant, where processing and handling occurs
b. at the farm, where the milk is processed
c. by the USDA through stringent testing and laboratory analysis
d. by the FDA in accordance with Federal regulations
Answers
The quality of milk reaching the ultimate consumer is largely determined at the plant, where processing and handling occurs. a
Once milk is collected from the farm, it is transported to processing plants where it undergoes a series of treatments to ensure that it is safe for consumption.
This includes pasteurization, homogenization, and standardization.
The pasteurization process involves heating the milk to a specific temperature for a certain amount of time to kill harmful bacteria.
Homogenization helps to evenly distribute the milk's fat content, while standardization ensures that the milk meets certain regulatory requirements for fat content and nutritional value.
The plant, milk undergoes rigorous quality control testing to ensure that it meets certain standards.
This includes testing for bacterial count, somatic cell count, and antibiotic residue.
Any milk that fails to meet these standards is discarded.
The USDA and FDA also play a role in ensuring that milk reaching consumers is of high quality.
The USDA sets standards for milk production, while the FDA regulates the use of antibiotics and other drugs in milk production.
The primary responsibility for ensuring milk quality rests with the processing plant.
The USDA and FDA do play a role in ensuring the quality of milk reaching consumers, the majority of the responsibility lies with the processing plant.
It is at the plant where the milk undergoes treatments to ensure that it is safe for consumption and undergoes rigorous quality control testing to meet certain standards.
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Which represents the inverse of the function f(x) = 4x?h(x) = x + 4• h(x) = x-4h(x) = =xh(x) = )
Answers
The function we have is:
\(f(x)=4x\)The steps to find the inverse function are:
Step 1. Solve for x.
In this case, we solve for x by dividing both sides of the equation by 4:
\(\begin{gathered} \frac{f(x)}{4}=\frac{4x}{4} \\ \frac{f(x)}{4}=x \end{gathered}\)Step 2. Change f(x) for x, and x for the inverse function f^-1(x):
\(\frac{x}{4}=f^{-1}(x)\longrightarrow\text{inverse function}\)If we call this inverse function h(x) we get the result:
\(h(x)=\frac{x}{4}\)Which equation represents a line of best fit for the set of ordered pairs?
{(1, 16), (2, 20), (3, 24), (4, 30), (5, 36)}
A. y = 5x + 10
B. y = 10x + 5
C. y = -5x + 10
D. y = -10x +5
Answers
Answer:
Here’s the answer! Best of luck.
Step-by-step explanation:
in geometry what is n = 1
Answers
Hope this helps
In 1992, Disney created a one-of-a-kind special pin. Each year, the pin’s value appreciates by a constant amount. In 1997, the pin was valued at $350. In 2002, it was valued at $600. Let x be the number of years since 1992 and y be the value of the pin in dollars. Write a linear equation in slope-intercept form that models this situation.
Answers
Answer:
\(y = 50x + 50\)
Step-by-step explanation:
Given
x = years since 1992.
y = value of pin
This means that
\(x = 1\) ----- in 1992
\(x_1 = 6\); \(y_1 = 350\) ---- in 1997
\(x_2 = 11;\) \(y_2 = 600\) ---- in 2002
Required
Determine the line equation in slope intercept form
First, we need to determine the slope (m) of the line
\(m = \frac{y_2 - y_1}{x_2- x_1}\)
\(m = \frac{600 - 350}{11- 6}\)
\(m = \frac{250}{5}\)
\(m = 50\)
The equation is then calculated using:
\(y - y_1 = m(x - x_1)\)
Recall that
\(x_1 = 6\); \(y_1 = 350\)
\(m = 50\)
So, we have:
\(y - 350 = 50(x - 6)\)
\(y - 350 = 50x - 300\)
\(y = 50x - 300 + 350\)
\(y = 50x + 50\)
through: (4, 5), parallel to y =1/4x - 4
Write the slope intercept form of the equation.
Answers
Answer:
y = 1/4x + 4
Step-by-step explanation:
y = mx + b
Since the lines are parallel, the slope is the same. m = 1/4
y = 1/4x + b
Substitute (4,5)
5 = 1/4(4) + b
5 = 1 + b
4 = b
The y-intercept is (0, 4).
y = 1/4x + 4
Leslie has 6 bags of marbles. Each bag has 16 marbles. If
1
3
3
1
of the marbles are purple, how many purple marbles does Leslie have?
Answers
The quantity of purple marbles that Leslie has would be = 32 purple marbles.
How to calculate the quantity of purple marbles Lesile have?The number of bags of marbles that Leslie has = 6 bags.
The quantity of marbles that is found in each bag = 16 marbles.
Therefore the total number of marbles = 6× 16 =96 marbles.
The fraction of purple marbles that Leslie has = 1/3 of 96
Therefore the total number of purple marbles the Leslie have = 1/3× 96 = 32
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Complete question:
Leslie has 6 bags of marbles. Each bag has 16 marbles. If ⅓ of the marbles are purple, how many purple marbles does Leslie have?
please help asap i’m doing iready
Answers
What is the distance between (-3, 4) and (5, 1)?
Answers
Answer:
8.544
I hope this helps!
Answer:
the answer is 8.06
Step-by-step explanation:
Help asap, The graph compares the total cost of buying movie tickets for members and nonmembers of a movie club
Answers
A negative correlation is the relationship where an increase in one of the variable say x lead to a decrease in the other variable say y
In the question given, the variables are the number of workers in the x- axis and the hours of complete job in the y axis
Therefore option C is the only option where increase in the number of workers led to decrease in the hours of complete job
Hence the correct answer is option C
Tommy is helping his mom at the grocery store. He notices that 5 pounds of potatoes cost $2.25. How much would 7 pounds of potatoes cost?
A. $3.45
B. $0.45
C. $3.15
D. $1.61
Answers
Answer:
Cost of 7 pound potato = $3.15
Step-by-step explanation:
Given:
Cost of 5 pound potato = $2.25
Find:
Cost of 7 pound potato
Computation:
Cost of 1 pound potato = 2.25 / 5
Cost of 1 pound potato = $0.45
Cost of 7 pound potato = 7 x Cost of 1 pound potato
Cost of 7 pound potato = 7 x 0.45
Cost of 7 pound potato = $3.15
Betrys is making a vegetable stew for 8 people.
A recipe for 2 people indicates that 10 ounces of diced potatoes are needed.
The scale below shows how much diced potatoes she has already prepared.
Betrys knows that 1 ounce is approximately 28 grams.
Work out how many more grams of diced potatoes she
needs to make her vegetable stew for 8 people?
Answers
Betrys needs another 400 grams of diced potatoes to make her vegetable stew for 8 people.
How many more grams of diced potatoes she needs to make her vegetable stew for 8 people?
We know that Betrys is cooking for 8 people, and we know that a recipe for 2 people needs 10 ounces.
8 people is 4 times 2 people, then for 8 people you need 4 times 10 ounces, this is 4*10 oz = 40 ounces.
Now we can apply a change of units, remember that:
1 oz = 28 grams
Then the total amount she needs is:
40 oz = 40*28 g = 1,120 g
So she needs in total 1,120 grams, and in the balance, she already has 720 grams, so the amount that she needs is given by the subtraction:
1,120 g - 720g = 400
Betrys needs another 400 grams of diced potatoes to make her vegetable stew for 8 people.
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what is the radian measure of an angle whose measure is -420 degrees
Answers
Answer:
The answer is
\( - \frac{7\pi}{3} \)Step-by-step explanation:
To convert an angle from degrees to radians multiply the value by \( \frac{\pi}{180} \)
From the question the value to be converted is - 420°
The value in radians is
\( - 420 \times \frac{\pi}{180} \\ = - \frac{420\pi}{180} \)
Reduce the fraction with 60
We have the final answer as
\( - \frac{7\pi}{3} \)
Hope this helps you
Which situation shows causation?
When the number of people in a bus increases, the number of animals in a zoo also increases.
When the number of hours worked each week by an hourly employee decreases, the amount of money earned
by the employee also decreases.
When the amount of a discount for a sale increases, the number of items sold during the sale decreases.
6 When the number of bike trails in a city decreases, the amount of rainfall in the city increases.
Answers
Statements (B) and (D):
"(B) When the number of hours worked each week by an hourly employee decreases, the amount of money earned by the employee also decreases.(D) When the number of bike trails in a city decreases, the amount of rainfall in the city increases."shows causation.
What do we mean by Causation?Causation denotes that one event is the result of the other event's occurrence; that is, there is a causal relationship between the two events. This is also known as cause and effect. Causation is the process by which one variable causes another to change, implying that one variable is dependent on the other. It is also known as cause and effect. For example, as the weather warms, people get more sunburned. In this instance, the weather resulted in sunburn.In the given questions statements (B) and (D) shows causation.
Therefore, statements (B) and (D):
"(B) When the number of hours worked each week by an hourly employee decreases, the amount of money earned by the employee also decreases.(D) When the number of bike trails in a city decreases, the amount of rainfall in the city increases."shows causation.
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The correct question is given below:
Which situation shows causation?
(A) When the number of people in a bus increases, the number of animals in a zoo also increases.
(B) When the number of hours worked each week by an hourly employee decreases, the amount of money earned by the employee also decreases.
(C) When the amount of a discount for a sale increases, the number of items sold during the sale decreases.
(D) When the number of bike trails in a city decreases, the amount of rainfall in the city increases.
1 minus StartFraction 1 Over x EndFraction divided by 2 StartFraction x minus 1 Over 2 x EndFraction Negative one-half StartFraction 2 x minus 2 Over x EndFraction StartFraction 2 x Over x minus 1 EndFraction
Answers
The simplify for the algebraic expression; 1 - 1/x ÷ 2 is gotten as: (x - 1)/2x
How to Simplify Algebraic Fractions?We want to simplify the algebraic expression;
1 - 1/x ÷ 2
To start this algebraic operation, we will first of all use the subtraction Operation by using division first together.
1 - 1/x ÷ 2
Now, simplifying further gives us; (1 - 1/x ) ÷ 2
⇒ ((x - 1)/x) ÷ 2
⇒ (x - 1)/2x
Thus, we an come to a conclusion of the given algebraic fraction to get;
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