Answer:
every one equals 32
Step-by-step explanation:
Every hour equals 32 tickets sold
Answer:
32
Step-by-step explanation:
all equal 32
A school library had 66,500 books. 8,947 books were issued to the students
And 4033 books for the teachers. How many books are still in the library?
Answer:
53520
Step-by-step explanation:
Books left =total books -books included student
books left =66500-8947-4033
i.e.53580
pls help i am speedrunning overdues rn
The amount of soil needed to fill the garden box is given as follows:
1728 ft³.
How to obtain the volume of a rectangular prism?The volume of a rectangular prism, with dimensions defined as length, width and height, is given by the multiplication of these three defined dimensions, according to the equation presented as follows:
Volume = length x width x height.
The figure in this problem is composed by two prisms, with dimensions given as follows:
19 ft, 12 ft and 6 ft.10 ft, 3 ft and 12 ft.Hence the volume is given as follows:
V = 19 x 12 x 6 + 10 x 3 x 12
V = 1728 ft³.
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Volume of a cube (cm') = width (cm) x height (cm) x length (cm). 1.1) Using the equation above, determine the volume of a cube that measures 3 cm wide, 3 cm tall, and 3 cm long. 1.2) Let's say this cube is made out of ice and has a mass of 24.76 grams (g). What is this ice cube's density? 1.3) The density of liquid water is slightly higher than that of frozen water ice. Liquid water's density at standard pressures and temperatures is 1.00 grams per cubic centimeter (g/cm'). Given that density, what is the mass of a cube of water measuring 3 cm wide, 3 cm tall, and 3 cm long? 1.4) Compare the weight of the water you calculated in question 1.3 with the weight of the ice of the same volume given in question 1.2. Which is heavier, the liquid water or the ice? Notice that the cube of water is the same size (or volume) as the cube of ice. 1.5) You know that ice floats on water. Explain why.
1.1) The volume of the cube is 27 cubic centimeters. 1.2)the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).
1.3) the mass of the water cube is 27 grams. 1.4) the weight of the water and the ice would be the same under the same conditions. 1.5)In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.
1.1) The volume of the cube can be calculated using the equation: Volume = width x height x length. In this case, the cube measures 3 cm wide, 3 cm tall, and 3 cm long, so the volume is:
Volume = 3 cm x 3 cm x 3 cm = 27 cm³.
Therefore, the volume of the cube is 27 cubic centimeters.
1.2) Density is defined as mass divided by volume. The mass of the ice cube is given as 24.76 grams, and we already determined the volume to be 27 cm³. Therefore, the density of the ice cube is:
Density = Mass / Volume = 24.76 g / 27 cm³ ≈ 0.917 g/cm³.
Therefore, the density of the ice cube is approximately 0.917 grams per cubic centimeter (g/cm³).
1.3) The volume of the water cube is the same as the ice cube, which is 27 cm³. Given the density of liquid water as 1.00 g/cm³, we can calculate the mass of the water cube using the equation:
Mass = Density x Volume = 1.00 g/cm³ x 27 cm³ = 27 grams.
Therefore, the mass of the water cube is 27 grams.
1.4) The weight of an object depends on both its mass and the acceleration due to gravity. Since the volume of the water cube and the ice cube is the same (27 cm³), and the mass of the water cube (27 grams) is equal to the mass of the ice cube (24.76 grams), their weights would also be equal when measured in the same gravitational field.
Therefore, the weight of the water and the ice would be the same under the same conditions.
1.5) Ice floats on water because it is less dense than liquid water. The density of ice is lower than the density of water because the water molecules in the solid ice are arranged in a specific lattice structure with open spaces. This arrangement causes ice to have a lower density compared to liquid water, where the molecules are closer together.
When ice is placed in water, the denser water molecules exert an upward buoyant force on the less dense ice, causing it to float. The buoyant force is the result of the pressure difference between the top and bottom surfaces of the submerged object.
In simpler terms, ice floats on water because it is lighter (less dense) than the water, allowing it to displace an amount of water equal to its weight and float on the surface.
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Question 9 of 10
Find the solutions to x2 = 18.
O A. x= +3,12
O B. x= +2,/3
X
O C. X = +36
O D. x = +63
Х
\(\qquad\qquad\huge\underline{{\sf Answer}}\)
Let's solve ~
\(\qquad \sf \dashrightarrow \: {x}^{2} = 18\)
\(\qquad \sf \dashrightarrow \: {x}^{} = \sqrt{ 18}\)
\(\qquad \sf \dashrightarrow \:x = \sqrt{2 \times {3}^{2} } \)
\(\qquad \sf \dashrightarrow \:x = 3 \sqrt{2} \)
Therefore, the correct choice will be A
You hear that Peter the Anteater is walking around the student centre so you go and sit on a bench outside and wait to see him. On average, it will be 16 minutes before you see Peter the Anteater. Assume there is only 1 Peter walking around and let X be the waiting time until you see Peter the Anteater.Which distribution does X follow?A. X ~ Expo(1/16)B. X ~ Poisson(1/16)C. X ~ U(0,16)D. X ~ Normal(16,4)
The distribution that X follows in this scenario is A. X ~ Expo(1/16), which means that the waiting time until you see Peter the Anteater follows an exponential distribution with a rate parameter of 1/16.
This can be determined by considering the characteristics of an exponential distribution, which models the waiting time for an event to occur given a constant rate. In this case, the event is seeing Peter the Anteater, and the rate is the average time it takes for him to appear, which is given as 16 minutes.
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help please! will give brainliest
Answer:
I believe the top is 50 because 50 is the b value while the bottom would be 25 because that is the ac value of the expression
Step-by-step explanation:
above
Determine the circumference of a circle with a radius of 8 meters.
50.2 meters
100.5 meters
201.0 meters
25.1 meters
Answer:
50.2 is the answer as the answer came in point
Using your answer from the previous question, state the value of ‘w’ if the perimeter of the rectangle is equal to 37 feet and the length is equal to 4 feet.
Answer:
16.5
Step-by-step explanation:
hence the answer is 16.5 feet
Is the equation below written in standard form? If not, select which explanation best applies to why the equation
is not written in standard form.
12 = 2x + 4y
A. the requirement that A 20 is not satisfied
B. the requirement that A and B are not both zero is not satisfied
C. A, B, and C do not have a greatest common factor of 1
D. the equation is written in standard form
Answer:
D
Step-by-step explanation:
The equation of a line in standard form is
Ax + By = C ( A is a positive integer and B, C are integers
12 = 2x + 4y , that is
2x + 4y = 12 ← is in standard form
first, we form a riemann sum with n rectangles (or subintervals). (i) what is the width of each rectangle? (ii) list the right-hand endpoints of each rectangle. (iii) list the heights of each rectangle. (iv) list the areas of each rectangle. (v) what is the riemann sum with n rectangles? you may use summation notation, but you do not need to.
The Reimann sum with n rectangle will be given as \(\sum^{n-1}_{i = 0} f{(x_i)} \Delta x\)
Let us suppose that f is a non-negative function, defined over a closed interval represented by [a, b].
The integral of f with respect to x signifies the area between the graph of f and X-axis. This area would be called definite integral of a function f from a to b. Then Riemannian method of determining this area is:
“if the area is divided into n rectangles of very small breadth, then it would be simpler to calculate the area of such rectangles and then we can add them up
(i ) The width of each rectangle will be denoted as Δx
Δx = b-a/n,
where , a is lower bound
b is upper bound of the integral
(ii) The right-hand endpoints of each rectangle are refer as \(x_i\) and we can find the right endpoints by \(x_i\) = a + Δx.i
(iii) The height of each rectangle is the value of the function at the upper point of the interval.
a + (b-a)/n for the first rectangle , a + 2(b-a)/n for the second rectangle and so on
(iv) The area of the each rectangle will be
Area = Width × height
=> A = (b-a)/2 × a + i(b-a)/2
(v) The Riemann sum with n rectangles is
Area of rectangle = \(\sum^{n-1}_{i = 0} f{(x_i)} \Delta x\)
Which is also known as Reimann sum
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How do you do this question?
The coordinates of point C are (x, y) = (9, 8).
How to find the location of the coordinates of a point within a system of four triangles
In this case we need to determine the coordinates of point C based on the dimensions of each block. These dimensions can be determined by solving the following equations:
2 · x - y = 11 - 3
y + 2 · x = 20 - 4
2 · x - 16 + 2 · x = 8
4 · x - 16 = 8
4 · x = 24
x = 6
y = 2 · x - 8
y = 2 · 6 - 8
y = 12 - 8
y = 4
Finally, we determine the coordinates of point C:
X = 3 + x = 9
Y = 4 + y = 8
The point C has the following coordinates: (x, y) = (9, 8).
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A cylinderical timehas an intwrnal.dia of 18cm. It contains water to adepth of 13.2 cm. A heavy sphere ball bearing of
15.98 cm is the new height of the water in the tin.
Let's first find the volume of water in the tin before the ball bearing is dropped in:
The radius of the tin is half of its diameter, which is 18/2 = 9 cm.
The depth of the water in the tin is 13.2 cm.
Using the formula for the volume of a cylinder, the volume of water in the tin is:
V1 = π\(r^2h\) = π\((9)^2(13.2)\) = 3341.28 cm^3
When the ball bearing is dropped in, it displaces some of the water, causing the water level to rise. We can find the volume of the ball bearing using the formula for the volume of a sphere:
V2 = (4/3)π\(r^3\) = (4/3)π\((4.65)^3\) ≈ 614.86 cm^3
Since the ball bearing completely displaces its own volume of water, the new volume of water in the tin is:
V3 = V1 + V2 ≈ 3341.28 + 614.86 ≈ 3956.14\(cm^3\)
To find the new height of water in the tin, we can use the formula for the volume of a cylinder again, this time solving for the height:
V3 = π\(r^2h\) => h = V3 / π\(r^2\) ≈ 3956.14 / (π\((9)^2)\) ≈ 15.98 cm
Therefore, the new height of water in the tin is approximately 15.98 cm.
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Correct question:
A cylindrical tin has an internal diameter of 18 cm.It contains water to a depth of 13.2 cm. A heavyspherical ball bearing of diameter 9.3 cm is droppedinto the tin. Find the new height of water in the tin,leaving your answer correct to 2 decimal places.
the fraud triangle indicates which of the following condition(s) exist for a fraud to be perpetrated?
The fraud triangle is a model that describes the three key factors that must be present for fraud to occur: opportunity, rationalization, and pressure.
These factors are often represented as the three sides of a triangle, with fraud being the result at the center.
Opportunity refers to the ability of an individual to commit fraud, either due to a lack of internal controls or the ability to override existing controls. Rationalization refers to the mental process by which an individual justifies the fraudulent behavior to themselves, often by convincing themselves that it is not really wrong or that they have a valid reason for doing it. Pressure refers to the external factors that motivate an individual to commit fraud, such as financial difficulties, job insecurity, or a desire to meet performance targets.
In summary, the fraud triangle indicates that all three conditions of opportunity, rationalization, and pressure must be present for fraud to be perpetrated.
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Michael has $8 and wants to buy a combination of cupcakes and fudge to feed at least four siblings. Each cupcake costs $2, and each piece of fudge costs $1.
This system of inequalities models the scenario:
2x + y ≤ 8
x + y ≥ 4
Part A: Describe the graph of the system of inequalities, including shading and the types of lines graphed. Provide a description of the solution set. (4 points)
Part B: Is the point (8, 10) included in the solution area for the system? Justify your answer mathematically. (3 points)
Part C: Choose a different point in the solution set and interpret what it means in terms of the real-world context. (3 points)
A. The description of the graph is thick line and upper region shaded
B. The point (8, 10)is not included in the solution area
C. A different point in the solution set is (1, 5)
Part A: Describe the graph of the system of inequalitiesFrom the question, we have the following parameters that can be used in our computation:
2x + y ≤ 8
x + y ≥ 4
The description of the graph is that
The inequalities use thick linesThe upper region are shadedThe solution set start from the intersection pointPart B: Is the point (8, 10) included in the solution areaNo, this is because the point (8, 10) does not satisfy both inequalities
The proof is as follows:
2(8) + 10 ≤ 8
26 ≤ 8 ---- false
x + y ≥ 4
8 + 10 ≥ 4 ---- true
So, we have
Truth value = false
Part C: Choose a different point in the solution setA different point in the solution set is (1, 5)
This point means that
Michael can afford to buy 1 cupcake and 5 fudges
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help wit this question for a brainliest
Answer:
5
Step-by-step explanation:
The point (4, 5) is feasible for the constraint 2x₁ + 6x₂ ≤ 30. O True O False
Answer:
False
Step-by-step explanation:
\(2x_1+6x_2\leq 30\\2(4)+6(5)\stackrel{?}{\leq}30\\8+30\stackrel{?}{\leq}30\\38\nleq30\)
Therefore, (4,5) is not a feasible point for the constraint
Today the population of a city is 250,000 and is growing at a rate
of 4% per year. When or how many years will the population reach
850,000
Step-by-step explanation:
Principal = 250,000
Rate = 4%
Simple interest = 850,000
Time = ?
\(t = \frac{100 \times interest}{principal \times rate} \\ t = \frac{100 \times 850000}{250000 \times 4} \\ t = \frac{100 \times 85}{25 \times 4} \\ t = \frac{8500}{100} \\ t = 85years\)
one lot must be ten meters longer than it is wide, and the total area must be 1656 m2. what are the length and width of the lot
The length and width of the lot are 46m and 36m respectively
Let the width of the lot be x,
therefore, length=x+10 (as the lot must be 10m longer than it's wide)
Now, according to the question:
Area of the lot= 1656 m²
Area of a rectangle is given by the product of it's length to width, that is:
⇒ Length × Width= 1656 m²
⇒ (10+x).x= 1656
⇒ 10x+x²= 1656
⇒ x²+10x-1656=0
⇒x²+46x-36x-1656=0
⇒x(x+46)-36(x+46)=0
⇒(x-36)(x+46)=0
⇒x=36 or x=-46(which can be ignored)
∴ x=36 and 10+x=46
So, the length of the lot is 46m and the width is 36m.
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For a company using the allowance method of accounting for uncollectible accounts, which of the following directly affects its reported net income?
1. the establishment of the allowance
2. the writing off of a specific account
3. the recovery of an account previously written off as uncollectible
The correct answer is all of the above options affect the company's financial statements in different ways, but the establishment of the allowance directly affects the reported net income.
For a company using the allowance method of accounting for uncollectible accounts, the establishment of the allowance, writing off of a specific account, and recovery of an account previously written off as uncollectible all affect its financial statements, but in different ways:
The establishment of the allowance: This directly affects the amount of bad debt expense recognized in the income statement, which in turn affects the reported net income. When the company establishes an allowance for uncollectible accounts, it recognizes an expense for the estimated amount of uncollectible accounts, which reduces the reported net income.
The writing off of a specific account: This does not affect the net income directly because the expense for bad debt has already been recognized when the allowance was established. However, it does affect the balance sheet because the amount of accounts receivable and the allowance for uncollectible accounts are both reduced.
The recovery of an account previously written off as uncollectible: This affects both the income statement and the balance sheet. The amount of the recovery is recognized as revenue, which increases the reported net income. Additionally, the accounts receivable and allowance for uncollectible accounts are both increased by the amount of the recovery.
Therefore, the correct answer is all of the above options affect the company's financial statements in different ways, but the establishment of the allowance directly affects the reported net income.
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Find the least common denominator of these fractions.
38 518
The least common denominator of the given fractions, can be found to be 72.
How to find the least common denominator ?The least common denominator of two or more fractions, is the least common multiple of the denominators of the fractions.
With the given fractions of 3 / 8 and 5 / 18 therefore, the least common denominator would be the least common multiple of 8 and 18.
The least common multiple of 8 and 18 is the value of 72 so this must be the least common denominator for the fractions.
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V= 1/3x3.14r^2h for h
Answer:
1.95 inch (2dp)
Step-by-step explanation:
h≈ 1.95 inch (2dp).
Explanation:
V= 13πr2h⇒r2 = 3Vπh⇒ = √3Vπh.
With,
V = 20 and h = 5, r = √(3) (20)5π = √12π
= √3.8197 ≈ 1.95 inch (2dp).
not too sure about this, can anyone help?
Answer:
Step-by-step explanation:
Yeah, the answer is 12. Well done.
Have a nice day! :DAnswer:
13
Step-by-step explanation:
A Y= 5
B Y= 7
A X= 5
B Z= 7
15-7= 8 so CZ=8
X C=8
So A X+X C= 13 b/c 5 + 8= 13
AC= 13
i don't know this is a guess b/c i actually don't know. It kinda of makes sense to me i don't know.
Susan traveled 140 miles at a rate of 28 mph. She then drove for 2 hours at a speed of 35 mph. What was her average speed for the entire trip?
Answer:
30 miles per hour
Step-by-step explanation:
We want to know the average speed over a course with one leg run at one speed, and another leg run at a different speed.
SetupTo find the average speed, we need to know the total time and the total distance. The relation ...
time = distance/speed ⇔ distance = speed × time
can be used to fill in the blanks.
The first leg is a distance of 140 miles. The time for that leg is ...
t1 = (140 mi)/(28 mi/h) = 5 h
The second leg takes 2 hours at a speed of 35 mph. The distance covered is ...
d2 = (35 mi/h)(2 h) = 70 mi
The total distance is ...
d = d1 +d2 = 140 mi +70 mi = 210 mi
The total time is ...
t = t1 +t2 = 5 h + 2 h = 7 h
SolutionThe average speed is the ratio of total distance to total time:
d/t = (210 mi)/(7 h) = 30 mi/h
Susan's average speed for the trip was 30 mph.
pls help me wit this
The perimeter of a rectangular field is no more than 134 yards. If the length of the field is 39 yards, which number line represents the possible width of the field (in yards)?
Find the value of x. Round the length to the nearest tenth.
500 m
40°
X
Not drawn to scale
O 777.9 m
O 321.4 m
O 652.7 m
O 595.9 m
The value of x in the triangle is 777.9
How to find the value of xFrom the question, we have the following parameters that can be used in our computation:
The triangle
The value of x in the triangle can be calculated using the following sine rule
sin(40) = 500/x
Make x the subject of the formula
So, we have
x = 500/sn(40)
Evaluate
x = 777.9
Hence, the value of x is 777.9
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Simplify each expression.
4 x 10
Answer:
1 x 40
Step-by-step explanation:
HELP!!!!! PLEASE AND THANK YOU
Answer:
The 3rd one is correct
(7.5 + 3) x 6 - 4)
By how much could the smallest sample observation, currently 8.5, be increased without affecting the value of the sample median? (enter your answer to one decimal place.)
The smallest sample observation can be increased by any value up to 0.1 without affecting the value of the sample median.
To find the maximum amount by which the smallest sample observation can be increased without affecting the sample median, we need to consider the definition of the median.
The median is the middle value in a sorted dataset. If the dataset has an odd number of observations, the median is the middle value. If the dataset has an even number of observations, the median is the average of the two middle values.
Since the current smallest sample observation is 8.5, increasing it by any value up to 0.1 would still keep it smaller than any other value in the dataset. This means the position of the smallest observation would not change in the sorted dataset, and therefore, it would not affect the value of the sample median.
The smallest sample observation can be increased by any value up to 0.1 without affecting the value of the sample median.
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(a) Attendance at the Accra Sports Stadium was alysed by the General Secretary, Prosper Harrison Addo. The analysis demonstrated that spectators consisted of 70% males. If seven people are randomly selected from the spectators during a football match, What is the probability that 4 of them are males? (3 marks) i 11. Find the probability that at most 5 of them are females (4 marks)
a) The probability of randomly selecting 4 males out of 7 spectators, given that 70% of the spectators are males, can be calculated using the binomial probability formula.
b) To find the probability that at most 5 of the randomly selected spectators are females, we need to calculate the cumulative probability of selecting 0, 1, 2, 3, 4, and 5 females from the total number of selected spectators.
a) To calculate the probability of selecting 4 males out of 7 spectators, we can use the binomial probability formula:
P(X = k) = C(n, k) * p^k * (1 - p)^(n - k)
Where:
- n is the total number of trials (number of people selected)
- k is the number of successful trials (number of males selected)
- p is the probability of success in a single trial (probability of selecting a male)
- C(n, k) is the binomial coefficient, calculated as C(n, k) = n! / (k! * (n - k)!)
In this case, n = 7, k = 4, and p = 0.70 (probability of selecting a male). Therefore, the probability of selecting 4 males out of 7 spectators is:
P(X = 4) = C(7, 4) * (0.70)^4 * (1 - 0.70)^(7 - 4)
b) To find the probability that at most 5 of the selected spectators are females, we need to calculate the cumulative probability of selecting 0, 1, 2, 3, 4, and 5 females. This can be done by summing the individual probabilities for each case.
P(X ≤ 5 females) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)
To calculate each individual probability, we use the same binomial probability formula as in part a), with p = 0.30 (probability of selecting a female).
Finally, we sum up the probabilities for each case to find the probability that at most 5 of the selected spectators are females.
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