Answer: the correct answers is $14.50
Step-by-step explanation:
The amount that the cafe pays per hour will be $14.50 per hour.
What is a linear function?A straight line on the coordinate plane is represented by a linear function.
A linear function always has the same and constant slope.
In another word, a linear function is a function that varies linearly with respect to the changing variable.
As per the given,
The rate of the library = $13 per hour.
For 12.5 hours.
Earning from library = 13 x 12.5 = $162.5
Cafe pay per hour = x
For 20.5 hours.
Earning from cafe = 20.5x
Total earning = 162.5 + 20.5x
20.5x = 459.75 - 162.5
x = 14.5
Hence "The amount that the cafe pays per hour will be $14.50 per hour".
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If a= 10 , in which of the following is closest to the area of the poster
A = 354 in
B = 275.5 in
C = 614 in
D = 535.5 in
SQL (no data required)
Show a list of product names and unit prices ranked by unit
price into three categories based on price: 1, 2, 3. The
highest-priced products will be marked with a 1, the second
To generate a list of product names and unit prices ranked by unit price into three categories (1, 2, 3) based on price, you can use a SQL query with the RANK() function.
The highest-priced products will be marked with a 1, the second-highest-priced products with a 2, and so on.
In SQL, you can use the RANK() function along with the ORDER BY clause to rank the products based on their unit prices. The RANK() function assigns a rank to each row in the result set based on the specified ordering criteria. Here's an example SQL query to achieve this:
In this query, products is the name of the table containing the product information. We select the product_name and unit_price columns from the table. The RANK() OVER (ORDER BY unit_price DESC) part ranks the rows based on the unit_price column in descending order, with the highest prices receiving a rank of 1.
The result of this query will include the product names, unit prices, and the assigned price ranks. You can then filter the results based on the price ranks to categorize the products into three categories (1, 2, 3) based on their price rankings.
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GEOMETRY! I will give brainliest
Answer:
538.8 (4th option)
Step-by-step explanation:
Area of Circle= 3.14(pi) x r^2
Area=615.44
Sector Area = 315/360 x 615.44 = 538
What is the purpose of the cell cycle?
Answer:
An Overview of the Cell Cycle. The most basic function of the cell cycle is to duplicate accurately the vast amount of DNA in the chromosomes and then segregate the copies precisely into two genetically identical daughter cells. These processes define the two major phases of the cell cycle.
The Sun appears about 8.4 times as large as Deimos in the Martian sky. It takes Deimos approximately 550 of its diameters to transit the shadow of Mars during a lunar eclipse. Using these values, a radius for Mars of 3,000,000 m, a ratio of Sun-from-Mars distance to Deimos-from-Mars distance of 365,000, calculate the radius of Deimos to one significant digit in meters
The radius of Deimos to one significant digit in meters is approximately 9.4 m
.
Given the ratio of the Sun-from-Mars distance to Deimos-from-Mars distance is 365,000, the distance between Mars and Deimos can be found to bedeimos distance = Sun-Mars distance / 365,000
Next, we can find the diameter of Deimos by noting that 550 of its diameters is equal to the distance it takes to transit the shadow of Mars during a lunar eclipse.
Let's call the diameter of Deimos "d", so we can
diameter = 1/550 * deimos distance
Finally, the Sun appears about 8.4 times as large as Deimos in the Martian sky. If we call the radius of Deimos "r", then the radius of the Sun is 8.4r.
Using the information given, we can set up the following equation:
deimos distance / (3,000,000 + r) = 8.4r / (3,000,000)Simplifying and solving for r,
we get:r = 9.39 m (rounded to one significant digit)
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Find the transition points.
f(x) = x(11-x)^1/3
(Use symbolic notation and fractions where needed. Give your answer in the form of a comma separated list.)
The transition point(s) at x = ___________
Find the intervals of increase/decrease of f.
(Use symbolic notation and fractions where needed. Give your answers as intervals in the form (*, *). Use the symbol oo for infinity, U for combining intervals, and an appropriate type of parenthesis "(", ")", "[", or "]" depending on whether the interval is open or closed.)
The function f is increasing when x E__________
The function f is decreasing when x E ___________-
The transition points are x = 1 and x = 11, and the intervals of increase and decrease are (0, 1) U (11, ∞) and (-∞, 0) U (1, 11), respectively.
To find the transition points and intervals of increase/decrease of the function f(x) = x(11-x)^(1/3), we need to analyze the behavior of the function and its derivative.
First, let's find the derivative of f(x):
f'(x) = d/dx [x(11-x)^(1/3)]
To find the derivative of x(11-x)^(1/3), we can use the product rule:
f'(x) = (11-x)^(1/3) + x * (1/3)(11-x)^(-2/3) * (-1)
Simplifying:
f'(x) = (11-x)^(1/3) - x/3(11-x)^(-2/3)
Next, let's find the critical points by setting the derivative equal to zero:
(11-x)^(1/3) - x/3(11-x)^(-2/3) = 0
To simplify the equation, we can multiply both sides by 3(11-x)^(2/3):
(11-x) - x(11-x) = 0
11 - x - 11x + x^2 = 0
Rearranging the equation:
x^2 - 12x + 11 = 0
Using the quadratic formula, we find the solutions:
x = (12 ± √(12^2 - 4(1)(11)))/(2(1))
x = (12 ± √(144 - 44))/(2)
x = (12 ± √100)/(2)
x = (12 ± 10)/2
So the critical points are x = 1 and x = 11.
To determine the intervals of increase and decrease, we can use test points and the behavior of the derivative.
Taking test points within each interval:
For x < 1, we can choose x = 0.
For 1 < x < 11, we can choose x = 5.
For x > 11, we can choose x = 12.
Evaluating the sign of the derivative at these test points:
f'(0) = (11-0)^(1/3) - 0/3(11-0)^(-2/3) = 11^(1/3) > 0
f'(5) = (11-5)^(1/3) - 5/3(11-5)^(-2/3) = 6^(1/3) - 5/6^(2/3) < 0
f'(12) = (11-12)^(1/3) - 12/3(11-12)^(-2/3) = -1^(1/3) > 0
Based on the signs of the derivative, we can determine the intervals of increase and decrease:
The function f is increasing when x ∈ (0, 1) U (11, ∞).
The function f is decreasing when x ∈ (-∞, 0) U (1, 11).
Therefore, the transition points are x = 1 and x = 11, and the intervals of increase and decrease are (0, 1) U (11, ∞) and (-∞, 0) U (1, 11), respectively.
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342×38 without out using a calculator
Answer:thfhamdjta
Step-by-step explanation:
The required product of 342 and 38 is 12,996.
What is the Multiplication operation?In mathematics, Multiplication operations perform Multiplying values on either side of the operator.
For example 4×2 = 8
First, we write the two numbers vertically, with the one digit of 342 on the bottom and the one digit of 38 on the right.
Next, we multiply the one digit of 342 (2) by the one digit of 38 (8), which gives 16. We write the one digit of this result (6) under the line and carry the tens digit (1) to the next column,
3 4 2
× 3 8
_________
12996
Therefore, the product of 342 and 38 is 12,996.
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A biased 3-coloured spinner was spun 240 times. It landed on Red n times, on Orange 3n times and on Yellow 8n times. If you spin this spinner 1000 times, how many times do you expect it to land on Red?
Answer:
83 spins
Step-by-step explanation:
Number of red spins = n
Number of orange spins = 8n
Number of yellow spins = 3n
Total number of trials = 240
Total number of spins :
(n + 8n + 3n) = 240
12n = 240
n = 240 / 12
n = 20
Number of red spins = 20
(1000/240) * n
4.1666666 * 20
= 83.333
= 83 spins
Find the equation of the line.
Use exact numbers.
y
y
8-
7
6+
-9-8-7-6-5-4-32
2 3 4 5 6 7 8 9
-27
-3
-4
-5
-6
-8
Answer:
Could you possible line the numbers up a little bit, it'd be better to understand that way.
Help please!
A.
B.
C.
D.
2627 divided by 22 withR
Answer:
119 r 9
Step-by-step explanation:
On Friday night, the Morrison family set up camp in
the Ocala National Forest. On Saturday morning they hiked to a wilderness area 3 miles due north and 4 miles due east of their campsite. The elevation of the wilderness area is the same as the elevation of the campsite. To the nearest 0.1 mile, what is the straight line distance from the wilderness area to the Morrisons' campsite?
The straight-line distance from the wilderness area to the Morrisons' campsite is approximately 5 miles.
To find the straight-line distance from the wilderness area to the Morrisons' campsite, we can use the Pythagorean theorem.
Let's consider the campsite as the origin (0, 0) on a coordinate plane. The wilderness area is located 3 miles due north and 4 miles due east from the campsite. Therefore, its coordinates are (4, 3).
Using the Pythagorean theorem, the straight-line distance d is given by:
d = √((x₂ - x₁)² + (y₂ - y₁)²)
Substituting the coordinates of the campsite (0, 0) and the wilderness area (4, 3) into the formula, we get:
d = √((4 - 0)² + (3 - 0)²)
= √(4² + 3²)
= √(16 + 9)
= √25
= 5
Therefore, the straight-line distance from the wilderness area to the Morrisons' campsite is approximately 5 miles.
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For shape B, what is the perpendicular distance from the x-axis to the center of Shape B? Said another way, what is the distance from the origin along the y-axis to the center of Shape B? O 1.5
O 1.90986 O 2.25 O 4.5
Therefore, based on the information provided, the perpendicular distance from the x-axis to the center of Shape B, or the distance from the origin along the y-axis to the center of Shape B, is 1.5 units.
What is the area of a circle with radius 5?To determine the perpendicular distance from the x-axis to the center of Shape B or the distance from the origin along the y-axis to the center of Shape B, we need to consider the properties of Shape B.
In this context, when we say "center," we are referring to the midpoint or the central point of Shape B along the y-axis.
The given answer of 1.5 units suggests that the center of Shape B lies 1.5 units above the x-axis or below the origin along the y-axis.
The distance is measured perpendicular to the x-axis or parallel to the y-axis, as we are interested in the vertical distance from the x-axis to the center of Shape B.
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A TV has an original price of $499. What is the new price after a 15% increase?
Given:
Original price of a TV = $499
Price increased by 15%.
To find:
The new price of the TV.
Solution:
According to the question,
New price of the TV = Original price + 15% of its original price.
\(\text{New price of the TV}=499+\dfrac{15}{100}(499)\)
\(\text{New price of the TV}=499+74.85\)
\(\text{New price of the TV}=573.85\)
Therefore, the new price of the TV is $573.85.
Reduce -3/-3 hurrry please.
Answer:
=>1
=> \(\frac{-3}{-3}\)
=> Simplify:minus and minus simplify each other and so do 3 and 3
=> So were are left with 1
Thus,the answer is 1
Step-by-step explanation:
PLZ HELP MATH GIVING 18 POINTS PLZ PLZ HELP! DUE AT 11:59 SHOW GRAPHS WITH PICTURES PLZ!
Answer:
2 y=471
Step-by-step explanation:
Answer:
Well I cant really graph it for you cause I don't know how to do that but the first one plot the point at 0,-1 and rise 3 and run 2
Step-by-step explanation: Just remember that
I really wish I could graph it for you but I don't know how to do that sorry
At a baseball game, 84% of people attending were supporting the home team, while 16% were supporting the visiting team. If the total number of people attending the game was 2700, how many people attending were supporters of the home team?
Answer:
2268 persons
Step-by-step explanation:
Persons supporting home team
=84/100 × 2700
=2268 persons
Answer:
2268
Step-by-step explanation:
Which statement shows the correct value for the exponential expression 6^3?
A. 6x6x6x6 = 1296
B. 6x6x6 = 216
C. 3x3x3x3x3x3 = 729
D. 6x3 = 18
Please help me with this
Answer: 20 FOR 4
30 FOR 6
45 FOR 9
50 FOR 10
Step-by-step explanation:
Somebody help please
Answer: 44
Step-by-step explanation:
Answer:
d-44 needs to add up to 90 pretty sure
Choose the dimensions that represent this rectangle:
Length: 2/5
Width: 2/6
Length: 2/4
Width: 3/4
Length: 2/3
Width: 3/4
Length: 2/3
Width: 3/5
Answer:
2/3 length and 3/4 width!
Step-by-step explanation:
I had this same question :D
Math. Help I really need this giving brainliest to the person with the correct answer, please explain your answer..
Answer:
It is A
Step-by-step explanation:
You have 4 muffins or 4m with a 2 dollar off coupon so therefore it is 4m-2
Answer:
4m-2
Step-by-step explanation:
The cost, m, is subtracted by 2. There are 4 muffins being bought, so the term would be 4m, making the equation 4m-2.
Elena went to a store where you can scoop your own popcorn and buy as much as you want. She bought 10 ounces of spicy popcorn for $2.50. How much popcorn can you buy per dollar? Do not include units (oz) in your answer.
Answer:
4
Step-by-step explanation:
$2.50 → 10 ounces
$1.00 → (10/2.50 x 1.00) ounces = 4 ounces
Plz answer this is trigonometry
Answer:
a = 47
b = 23.87
c = 90
d = 35.59
Step-by-step explanation:
I can only help this much. Not sure what the other two others below are asking
Fen completed a triathlon race whose total distance is DDD kilometers. First, she swam a distance of 0.50.50, point, 5 kilometer. Then, she rode a bicycle for xxx hours at an average speed of 202020 kilometers per hour. Finally, she ran for 0.50.50, point, 5 hour at an average speed of vvv kilometers per hour.
Equation that relates D = 0.5 + 20x + 0.5v
Initial distance covered d1 = 0.5km
If she rode a bicycle for x hours at an average speed of 20 kilometers per hour, then her distance during this period is:
Speed = Distance/Time
Speed is defined as the rate that an object travels through space; it is the distance traveled in a certain amount of time. A familiar example from our daily lives can be seen when we drive to work or school. Our speed is measured by how fast or slowly we drive. Our car is said to have a speed of 60 miles per hour (mph) if it will travel a distance of 60 miles in exactly 1 hour.
Distance d2 = speed × time
d2 = 20x
If she ran for 0.5 hour at an average speed of v kilometers per hour, her distance this time will be;
Distance d3 = 0.5v
If her total distance is D, then;
D = d1+d2+d3
D = 0.5 + 20x + 0.5v
Hence an equation that relates D, x, and v is D = 0.5 + 20x + 0.5v
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This is the equation:( Y 2x + 4 )Now I already have two answers for this equation, I'm just not sure which one I should go with.So I was hoping you would help me a little of which one I should go with.Answer A: (0,0) Or Answer B: (-2,2)
we have the inequality
\(\begin{gathered} y\leq2x+4 \\ \end{gathered}\)the solution of this inequality is the shaded area below the solid line y=2x+4
Remember that
If a ordered pair is a solution of the inequality, then the ordered pair must satisfy the inequality
so
Verify point A(0,0)
For x=0 and y=0
substitute in the inequality
\(\begin{gathered} 0\leq2\cdot(0)+4 \\ 0\leq4\text{ --}\longrightarrow\text{ is ok} \end{gathered}\)Point A is a solution
Verify point B
(-2,2)
For x=-2 and y=2
substitute
\(\begin{gathered} 2\leq2\cdot(-2)+4 \\ 2\leq0\text{ --}\longrightarrow\text{ is not true} \end{gathered}\)therefore
the answer is the point A
The number of digits in the square root of 3686400 is ---------
[one word Q]
Answer:
4
Step-by-step explanation:
\(\sqrt{x} 368640 = 1920\)
The number of digits in 1920 is 4
The number of digits in the square root of 3686400 is 4.
What is square root?In mathematics, the square root is a component that, when multiplied by itself, equals the original integer. For instance, the square roots of 9 are both 3 and -3.
The square root of 3686400 is,
√3686400 = ±1920
The number of digits in 1920 is 4.
Only four digits make up 4-digit integers; the first digit must be one or higher, and the other three can be any number between 0 and 9. Examples of four-digit numbers include 5693, 1023, and 9825.
Thus, the number of digits in the square root of 3686400 is 4.
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How much x% sugar syrup can you make if you have 100 grams of sugar?
Answer:
100/x/100
Step-by-step explanation:
Step-by-step explanation:
A movie theater is considering a showing of Puppet Master for a 80's thowback night. In order to ensure the success of the evening, they've asked a random sample of 53 patrons whether they would come to the showing or not. Of the 53 patrons, 30 said that they would come to see the film. Construct a 95% confidence interval to determine the true proportion of all patrons who would be interested in attending the showing. a) What is the point estimate for the true proportion of interested patrons? (please input a proportion accurate to four decimal places)
b) Complete the interpretation of the confidence interval. Please provide the bounds for the confidence interval in decimal form, accurate to four decimal places, and list the lower bound first.
"We are ... % confident that the true proportion of patrons interested in attending the showing of Puppet Master is between ... and ... "
Main Answer: The point estimate for the true proportion of interested patrons is 0.5660 and the true proportion of patrons interested in attending the showing of Puppet Master is between 0.4241 and 0.7079.
Supporting Question and Answer:
How is the margin of error calculated in constructing a confidence interval for a proportion?
The margin of error is calculated by multiplying the z-score corresponding to the desired confidence level by the standard error of the proportion, which is determined by the formula sqrt((p ×q) / n)
where p is the point estimate of the proportion, q is 1 - p, and n is the sample size.
Body of the Solution:
a) The point estimate for the true proportion of interested patrons can be calculated by dividing the number of patrons who said they would come (30) by the total number of patrons surveyed (53):
Point Estimate = Number of interested patrons / Total number of patrons = 30 / 53
≈ 0.5660 (rounded to four decimal places)
b) To construct a 95% confidence interval for the true proportion of interested patrons, we can use the following formula:
Confidence Interval = Point Estimate ± Margin of Error
The margin of error depends on the desired level of confidence and is calculated using the standard error formula:
Standard Error = √((p × (1 - p)) / n)
Where:
p= Point estimate of the proportion (0.5660)
n = Sample size (53)
Let's calculate the standard error:
Standard Error = √((0.5660 ×(1 - 0.5660)) / 53)
≈ 0.0724 (rounded to four decimal places)
The margin of error is determined by multiplying the standard error by the appropriate z-score for the desired level of confidence. For a 95% confidence level, the z-score is approximately 1.96.
Margin of Error = 1.96 × Standard Error
= 1.96 × 0.0724 ≈ 0.1419 (rounded to four decimal places)
Now we can calculate the confidence interval:
Confidence Interval = Point Estimate ± Margin of Error
= 0.5660 ± 0.1419
≈ 0.4241 to 0.7079
Interpreting the confidence interval: "We are 95% confident that the true proportion of patrons interested in attending the showing of Puppet Master is between 0.4241 and 0.7079.
Final Answer:
a)The point estimate for the true proportion of interested patrons is 0.5660
b)The true proportion of patrons interested in attending the showing of Puppet Master is between 0.4241 and 0.7079.
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a)The point estimate for the true proportion of interested patrons is 0.5660
b)The true proportion of patrons interested in attending the showing of Puppet Master is between 0.4241 and 0.7079.
How is the margin of error calculated in constructing a confidence interval for a proportion?The margin of error is calculated by multiplying the z-score corresponding to the desired confidence level by the standard error of the proportion, which is determined by the formula sqrt((p ×q) / n)
where p is the point estimate of the proportion, q is 1 - p, and n is the sample size.
a) The point estimate for the true proportion of interested patrons can be calculated by dividing the number of patrons who said they would come (30) by the total number of patrons surveyed (53):
Point Estimate = Number of interested patrons / Total number of patrons = 30 / 53
≈ 0.5660 (rounded to four decimal places)
b) To construct a 95% confidence interval for the true proportion of interested patrons, we can use the following formula:
Confidence Interval = Point Estimate ± Margin of Error
The margin of error depends on the desired level of confidence and is calculated using the standard error formula:
Standard Error = √((p × (1 - p)) / n)
Where:
p= Point estimate of the proportion (0.5660)
n = Sample size (53)
Let's calculate the standard error:
Standard Error = √((0.5660 ×(1 - 0.5660)) / 53)
≈ 0.0724 (rounded to four decimal places)
The margin of error is determined by multiplying the standard error by the appropriate z-score for the desired level of confidence. For a 95% confidence level, the z-score is approximately 1.96.
Margin of Error = 1.96 × Standard Error
= 1.96 × 0.0724 ≈ 0.1419 (rounded to four decimal places)
Now we can calculate the confidence interval:
Confidence Interval = Point Estimate ± Margin of Error
= 0.5660 ± 0.1419
≈ 0.4241 to 0.7079
Interpreting the confidence interval: "We are 95% confident that the true proportion of patrons interested in attending the showing of Puppet Master is between 0.4241 and 0.7079.
Final Answer:
a)The point estimate for the true proportion of interested patrons is 0.5660
b)The true proportion of patrons interested in attending the showing of Puppet Master is between 0.4241 and 0.7079.
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7/10-1/6 answer in fraction
Answer:
8/15
Step-by-step explanation:
7/10 = 21/30
1/6 = 5/30
21/30-5/30 = 16/30=8/15
Answer:
32/60
Step-by-step explanation:
7/10-1/6
6 and 10 can both go into 60 so you do
10x6 and 6x10 u get 60 as the denominator now you have to multiply the same for the numerator and you get 10/60 and 42/60 now subtract
42-10= 32
32/60