The volume of the solid figures are:
1. 480 cm³
2. 1000 m³
3. 141.43 cm³
4. 60.48 cm³
5. 16971.43 mm³
How to find the volume of solid figures?1. The volume of a cuboid is given by the formula:
V = l * w * h
where l is the length, w is the width and h is the height
We have:
l = 12 cm
w = 5 cm
h = 8 cm
V = 12 * 5 * 8
V = 480 cm³
2. The volume of a cube is given by the formula:
V = l³
where l is the side length
We have:
l = 10m
V = 10³
V = 1000 m³
3. The volume of a cylinder is given by the formula:
V = πr²h
where r is the radius and h is the height
We have:
r = 3 cm
h = 5 cm
V = 22/7 * 3² * 5
V = 141.43 cm³
4. This is also a cuboid.
We have:
l = 4.5 cm
w = 3.2 cm
h = 4.2 cm
V = 4.5 * 3.2 * 4.2
V = 60.48 cm³
5. This is also a cylinder.
We have:
r = 30/2 = 15 mm
h = 24 mm
V = 22/7 * 15² * 24
V = 16971.43 mm³
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A bakery offers a sale price of $3.00 for 6 muffins. What is the price per dozen?
Answer:
$6.00
Step-by-step explanation:
In order y find the cost of one muffin, we divide the price of 6 muffins by 6.
$3.00 / 6 = $0.50
Therefore, the cost of one muffin is $0.50.
To find the price per dozen, we multiply the cost of one muffin by 12.
$0.50 * 12 = $6.00
Therefore, the price per dozen muffins is $6.00.
what is account equations
Account equations are mathematical relationships used in accounting to record various financial transactions and help ensure that the accounting records remain accurate and balanced.
What are account equations and how are they used in accounting?Account equations serve as the foundation of double-entry bookkeeping, which is the system used in accounting to maintain accurate financial records.
The fundamental equation in double-entry bookkeeping is known as the accounting equation or the balance sheet equation which states that Assets = Liabilities + Owner's Equity.
This equation reflects the principle that every financial transaction affects at least two accounts and that the total value of assets must always be equal to the total value of liabilities and owner's equity.
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Which statement is correct when solving the expression 5y2 – 3y2?
A. Add the coefficients (5 + 3).
B. Add the exponents (2 + 2).
C. Subtract the coefficients (5 – 3).
D. Subtract the exponents (2 – 2).
Answer:
C. Subtract the coefficients (5 – 3)
Step-by-step explanation:
[tex]5y^2-3y^2=(5-3)y^2=2y^2[/tex]
Water makes about 3/4 of a persons weight If a student weighs 45 lbs. How much does the sudent weigh?
Your question isn’t worded correctly. I will answer it two ways because I’m not sure which is right -
If a student weights 45 lbs how much does the water weigh? 33.75 lbs
And if a student has 45 lbs of water, how much does the student way? 60 lbs
Find the 39th term.
-15, -10, -5, 0, 5, ...
39th term = [?]
Answer:
The explicit arithmetic formula can be used to find the 39th term of this sequence.
[tex]a_{n} = a_{1} + d(n-1)[/tex]
In order to use this formula, we must know a_1, the first term, and , the common difference.
In this case, the first term is given as -15.
The difference can be found by looking at the difference between each following term. In this case, d = +5.
(Notice to get from -15 to -10, we add 5, to get from -10 to -5, we add 5, etc.)
Now that we have everything we need, we can plug everything in to find the 39th term:
[tex]a_{39} = -15 + 5(39-1)\\a_{39} = -15 + 190\\a_{39} = 175[/tex]
The 39th term of this sequence is 175.
*Note n represents the term number we are trying to find. That's why we substituted 39 for n when plugging everything into the formula. [tex]a_{39}[/tex] denotes the 39th term
A gazebo in the shape of a regular hexagon (six sides) has side length s and apothem a. If the cost per square unit of flooring is c, express the total cost T of the floor algebraically.
The total cost T of the floor algebraically is T = c x (3√3/2) x s²
We have,
To express the total cost T of the floor of the hexagonal gazebo algebraically, we need to consider the area of the hexagonal floor and the cost per square unit of flooring.
The area of a regular hexagon can be calculated using the formula:
Area = (3√3/2) x s²
Where s is the side length of the hexagon.
To find the total cost, we multiply the area by the cost per square unit of flooring (c):
T = c x Area
Substituting the area formula into the equation:
T = c x (3√3/2) x s²
Now, we have expressed the total cost T algebraically in terms of the side length s and the cost per square unit of flooring c.
Thus,
The total cost T of the floor algebraically is T = c x (3√3/2) x s²
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Arrange the following temperatures in ascending order and descending order.
a) 37°C, -15°C, 16°C, -12°C, 0°C, 96°C, -73°C
b) 20°C, -1°C -15°C 0°C, -7°C, 23°C, -36°C.
Answer:
a) -73°C, -15°C, -12°C, 0°C, 16°C, 37°C, 96°C
a) 96°C, 37°C, 16°C, 0°C, -12°C, -15°C, -73°C
b) -36°C, -15°C, -7°C, -1°C, 0°C, 20°C, 23°C
b) 23°C, 20°C, 0°C, -1°C, -7°C, -15°C, -36°C
8:2(2+2)how would solve this problem
Answer:
16
Step-by-step explanation:
To solve this problem, you need to follow the order of operations (PEMDAS):
First, you need to solve the parentheses: 2+2 = 4
Next, you need to solve the multiplication: 2 x 4 = 8
Finally, you need to solve the division: 8 ÷ 2 = 16
How many inches are in 5 1/4 feet enter only a number
Answer:
64 inches.
Step-by-step explanation:
To find the amount of inches in 5 1/4 feet, you must first multiply 12 by 5 because there are 12 inches in one foot.
12x5=60.
The next step in order to complete the equation would be to find how many inches are in 1/4 of a foot.
To find how many inches are in 1/4 of a foot you must divide 12 by 4.
12 divided by 4= 4.
Now, you must as the two numbers together to get the total number of inches.
60+4=64.
This, 64 is your final answer.
Hope this helps! :)
For a population, a deviation score is computed as n - μ
True or False?
The given statement is false because A deviation score is computed as the difference between an individual data point and the mean of a distribution, not the population size (n) minus the population mean (μ).
The correct formula for computing a deviation score is:
Deviation Score = Data Point - Mean
In this formula, the data point represents an individual observation from the population or sample, and the mean represents the average value of the data set.
The deviation score measures how far each data point is from the mean. A positive deviation score indicates that the data point is above the mean, while a negative deviation score indicates that the data point is below the mean. The magnitude of the deviation score represents the distance between the data point and the mean.
The formula n - μ is used to calculate the sum of deviations from the population mean, which is used in certain statistical calculations such as the sum of squares. However, it does not represent a deviation score for an individual data point.
Therefore, the statement "A deviation score is computed as n - μ" is false. The correct formula for a deviation score is Data Point - Mean.
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What is the vertically opposite angle y in the drawing below? Type in numerical answer only
Answer:
∠x
Step-by-step explanation:
Vertical angles are defined as angles opposite each other where two lines cross. In this case, it is given that you are trying to find the opposite angle of y. By the definition of vertical angles, it will mean that it is ∠x.
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14. A nutritionist collected information about different
brands of beef hot dogs. She made a table showing
the number of Calories and the amount of sodium in
each hot dog.
a. Write an equation for the line of best fit.
Round all values to the nearest tenth if
needed.
Calories per
Beef Hot Dog
186
181
176
149
184
190
158
139
b. Write the correlation coefficient for the line of best fit.
Round to the nearest hundredth.
Milligrams of Sodium
per Beef Hot Dog
495
477
425
322
482
587
370
322
c. What does the correlation coefficient tell you about your line of best fit?
a. The equation of the line of best fit is y = 1.2x + 375.
b. The correlation coefficient for the line of best fit is 0.97.
c. The correlation coefficient of 0.97 is very close to 1, which indicates that there is a strong positive correlation between the number of calories and the amount of sodium in beef hot dogs.
How to explain the informationMean of x-values: (186 + 181 + 176 + 149 + 184 + 190 + 158 + 139) / 8 = 169
Mean of y-values: (495 + 477 + 425 + 322 + 482 + 587 + 370 + 322) / 8 = 437.5
Calculate the slope of the line of best fit.
Slope = (y2 - y1)/(x2 - x1) = (587 - 495)/(190 - 186) = 1.2
Calculate the y-intercept of the line of best fit.
y-intercept = mean of y-values - slope * mean of x-values
= 437.5 - 1.2 * 169
= 375
The equation of the line of best fit is y = 1.2x + 375.
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Captain’s Autos sells 22 used cars on Monday, and 18 cars on Tuesday. This was 25% of the number of sales for the week. How many cars did they sell altogether of the week?
The number of cars Captain's Autos sold in total that week is 160.
What is the unitary method?The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. Unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.
We are given that:
Number of used cars on Monday = 22Number of cars on Tuesday = 18Now,
Let's call the total number of cars sold during the week "x".
We know that the number of cars sold on Monday and Tuesday is 25% of the total number of cars sold during the week. So we can write:
[tex]\sf 22 + 18 = 0.25x[/tex]
Simplifying, we get:
[tex]\sf 40 = 0.25x[/tex]
Dividing both sides by 0.25, we get:
[tex]\bold{x = 160}[/tex]
Hence, by the unitary method the answer will be 160.
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if the AREA of a rectangular garden is x^2-36 and the length is x^2-2x-24, find an expression to represent the width of the garden.
To find an expression representing the width of the rectangular garden, we need to use the given information about the area and length of the garden.
The formula for the area of a rectangle is:
Area = Length × Width
We are given that the area of the garden is x^2 - 36, and the length is x^2 - 2x - 24.
Let's substitute these values into the formula:
x^2 - 36 = (x^2 - 2x - 24) × Width
To isolate the width, we divide both sides of the equation by (x^2 - 2x - 24):
Width = (x^2 - 36) / (x^2 - 2x - 24)
Therefore, an expression representing the width of the garden is:
Width = (x^2 - 36) / (x^2 - 2x - 24)
Air Yukon received a shipment of plastic trays on September 2. The invoice amounting to was dated August 15, terms 2/10, n/30 R.O.G. What is the last day for taking the cash discount, and how much is to be paid if the discount is taken?
Question content area bottom
What is the last day for taking the cash discount?
Answer:
The terms of "2/10, n/30 R.O.G." mean that the buyer (Air Yukon) can take a cash discount of 2% if they pay the invoice within 10 days. Otherwise, the full amount is due within 30 days of the invoice date. "R.O.G." means "receipt of goods," indicating that the 30-day period begins on September 2, the date Air Yukon received the shipment.
To determine the last day for taking the cash discount, we start with the date of the invoice, August 15, and add 10 days for the discount period. This gives us August 25, which is the last day Air Yukon can pay the invoice and still receive the 2% discount.
If Air Yukon takes the cash discount, they will pay 98% of the invoice amount. We don't know the exact amount of the invoice from the information given, but if we assume it was $1,000, Air Yukon would pay $980 if they take the cash discount ($1,000 x 0.98).
Use the standard normal table to find the specified area.
To the right of z= 1.16
The area to the right of z = 1.16 in the standard normal distribution is approximately 0.1357, or 13.57% as per the given details.
To discover the location to the right of z = 1.16 in the general everyday distribution, we are able to use the same old regular table or a statistical software.
Using the usual normal desk, the values provided are typically for the place to the left of a given z-rating.
However, seeing that the entire region below the same old normal distribution curve is 1, we can discover the place to the right of z = 1.16 by way of subtracting the region to the left of z = 1.Sixteen from 1.
Area to the right = 1 - Area to the left
= 1 - 0.8643
= 0.1357
Thus, the answer is 0.1357.
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Show your work please please please help me
The value of the given expression is [tex]6\frac{11}{24}[/tex].
The given fractional expression is [tex]4\frac{1}{8}+2\frac{1}{3}[/tex].
Here, [tex]4\frac{1}{8}[/tex] can be written as 33/8 and [tex]2\frac{1}{3}[/tex] can be written as 7/3
Now, 33/8 + 7/3
= 99/24 + 56/24
= (99+56)/24
= 155/24
= [tex]6\frac{11}{24}[/tex]
Therefore, the value of the given expression is [tex]6\frac{11}{24}[/tex].
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• What is the range in battery life for each data set? (make it clear which range value is for
Brand X and Brand Y) (1 point)
• Using the ranges you found, describe the comparison in battery life for the brands. (1 point)
The range in battery life for each data set are Brand X: 11 and Brand Y: 17
The brand Y batteries last longer
How to determine the range in battery life for each data setFrom the question, we have the following parameters that can be used in our computation:
The box plots
Where, we have
Brand X: 10 to 21
Brand Y: 6 to 23
The range is the difference between the boundaries
So, we have
Brand X: 21 - 10 = 11
Brand Y: 23 - 6 = 17
Comparing the battery life for each data setIn (a), we have the range to be
Brand X: 11
Brand Y: 17
The above means that the brand Y batteries last longer than the brand X battery
This is because it has more spread i.e. bigger range
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