1. The first measurement is 15.708
2. The radius would be half of the distance across the drain, or half of the diameter. Half of 3.8cm, or 3.8cm / 2 is 1.9cm.
The diameter is . . .
d = 2r
d = 2 × 5inch
d = 10 inch
The radius is . . .
r = 5 inch
The circumference is the distance around the drain, or if you trace the entire circle. The formula to find the circumference of a circle is 2 multiplied by pi and the radius of the circle, or C = 2(pi)r. Here, we just found the radius, so the circumference is 2 * pi (which is approximately 3.14) * 1.9cm, or approximately 11.9cm!
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What is the conversion of 5.8 feet in cm?
Answer:
172.72 cm
Step-by-step explanation:
5 feet 8 inches in cm = [(5×12)+8] x 2.54 = 68 x 2.54 = 172.72 cm
mike wrote 4 checks for $30 each, withdrew another $40 and deposited $80. What was the overall change in the amount of money he had?
((30$ x4)+40$)-80$=80$
How many inches are in 52 cm?
52 cm is equivalent to nearly 20.47 inches, rounded to two decimal places.
The Imperial and US Customary measuring systems both utilise the inch as their unit of measurement.
It is the unit of length.
Furthermore, length is measured in centimeters,
Used in the International System of Units,
This is the metric system's present configuration.
52 centimetres equal 20.47 inches (centimeters).
To convert centimeters to inches,
We can use the following conversion:
1 inch = 2.54 cm
Therefore,
To convert 52 cm to inches,
You can divide 52 by 2.54:
52 cm / 2.54 = 20.47 inches
So, 52 cm is equivalent to nearly 20.47 inches,
rounded to two decimal places.
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WORKING OUT!!! I cannot stress ts enough, it’s also the whole basis of my assignment. Please show working out
Answer:
$7500
Step-by-step explanation:
So to find mean the formula is total divided by no. of items or values so therefore the total no. of people is 310+390+380+420 which is 1500 people and if one ticket is $20 ,1500 tickets is 1500 multiplied by 20 which is $30,000 and the mean of one night would by 30,000 divided by 4 nights which is $7500 per night.Hope this helped!
pls explain how to do this!!!!
Answer:
h ≈ 29.98
Step-by-step explanation:
diameter = 12m
volume = [tex]1130m^{3}[/tex]
radius = 6m
The equation to find the height given radius and volume:
[tex]h = \frac{3(V)}{\pi r^2}[/tex]
Plug in values
Answer:
Given:-
Diameter=12m
Volume=1130m³
Takeπ=3.14
To find:-
Height of cone=?
Step-by-step explanation:
Solution:-
Radius=d/2
= 12/2
=6m
Volume of cone=1/3πr²h
h= 3v/πr²
= 3×1130/3.14× 6²
= 3390/113.04
= 29.98m
hence, the height of cone is 30m.
what is maximum and minimum calculator online
Minimum and Maximum Calculator is an online widget that helps you find the max and min values of a function.
The maximum value is the point at which the function has the highest value of all other values, while the minimum value is the lowest value in the entire function.
The calculator returns the global maximum and minimum of the function along with a graph on the Cartesian plane as the solution. A min-max calculator is an online calculator that can be used to find the maximum and minimum values of a mathematical function.
Finding the extreme values of a function is also known as optimization. Feature optimization is a central concept in engineering, business, and machine learning.
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An organization promoting good nutritional habits collected data on fat calories in foods from 9 fast food
staurants. The values represent the number of fat calories in a small order of french fries from each restaurant.
160, 106, 104, 113, 160, 103, 161, 89, 96
What is the median number of fat calories in a small order of fries at these restaurants?
to find the MEDIAN, arrange the #s in order and find the middle #.
If the total number of calories is X, then the lowest number is 89, which is 43% of the total, or 206.98 calories. Thus, the response is A.
The middle value of the provided collection of data, when organised in order, is known as the median in statistics. It is possible to arrange the data or observations in either ascending or descending order. For instance, the median of 2,3,4, is 3. The median, a form of average used to determine the center value in mathematics, is another average.
Two easy steps are used to determine the median of a dataset. Put the information provided in ascending order first. The middle data must be chosen next.
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Please help I’ll give brainliest
The sum of the expressions 8x - 2 and - 3x² - 7 is, - 3x² + 8x - 9.
What are coefficients and like terms?A quantity or number that is combined with a variable is known as a coefficient. The variable is often multiplied by an integer, which is then printed next to it.
Terms that have the same variables raised to the same power are referred to as like terms. The only difference is in the numerical coefficients.
Given, Two expressions, 8x - 2 and - 3x² - 7.
Now, Sum implies adding.
Therefore, The sum of 8x - 2 and - 3x² - 7 is,
(8x - 2) + (- 3x² - 7).
= - 3x² + 8x - 2 - 7.
= - 3x² + 8x - 9.
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Tyler takes his friends out for pizza and wings. He pays the whole bill of $71.46. He wants to leave an 18% tip. How much does the bill and tip cost Tyler?
The total cost of the bill and tip for Tyler is $71.46. This means that Tyler paid $58.6 for the food and drinks, and an additional $12.86 as a tip for the service.
To calculate how much the bill and tip cost Tyler, we first need to calculate the amount of the tip. We can do this by multiplying the total bill by the percentage of the tip, which is 18% or 0.18 as a decimal.
Tip amount = $71.46 x 0.18 = $12.86
Once we know the tip amount, we can add it to the total bill to find the final cost.
Bill and tip cost = $71.46 - $12.86 = $58.6
Therefore, total bill is $84.32 with tip as $12.86 and bill as $58.6
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What is the conversion of 135 kg to lbs ?
The value of 135 kg into lbs can be converted by multiplying kilogram by 2.204622 so the answer is 297.624 pounds.
Unit conversion is the process of converting the measurement of a given amount between various units, often by multiplicative conversion factors that alter the value of the measured quantity without altering its effects.
The SI unit of mass is the kilogramme (kg). It has the same mass as the international kilogramme prototype. The International Bureau of Weights and Measures maintains a platinum-iridium international prototype similar to this one. A kilogramme is about equivalent to 2.20462262184878 pounds.
The legal definition of a pound, or the international avoirdupois pound, is 0.45359237 kilogrammes.
Pounds = kilograms × 2.20462262184878
= 135 x 2.20462262184878
= 297.624 pounds or lbs.
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karen peyton and annie all ran in a race karen ran the race in 43.52 seconds peyton time running the race was 2.17 seconds more than karen time what was peyton time
i really need help
Answer:
Peyton = 45.69 seconds to run the race
Step-by-step explanation:
Karen = 43.52 seconds
Peyton = k + 2.17
Peyton = 43.52 + 2.17
Peyton = 45.69 seconds
Answer:
45.69
Step-by-step explanation:
If Peyton's time running the race was 2.17 seconds more than Karen's time, then we can calculate Peyton's time by adding 2.17 seconds to Karen's time.
Karen's time: 43.52 seconds
Peyton's time: 43.52 + 2.17 = 45.69 seconds
Therefore, Peyton's time running the race was 45.69 seconds...
A loading dock at a warehouse has a ramp that is 16 feet in length. The length from the edge of the loading dock to the end of the ramp is 14 feet. What is the height of the loading dock to the nearest tenth of a foot?
The required height of the loading dock is approximately 7.746 feet (to the nearest tenth of a foot).
What are Pythagorean triplets?In a right-angled triangle, its sides, such as hypotenuse, and perpendicular, and the base is Pythagorean triplets.
Here,
We can use the Pythagorean theorem to solve this problem. Let's call the height of the loading dock "h". The ramp, the distance from the edge of the loading dock to the end of the ramp, and the height of the loading dock form a right triangle. The Pythagorean theorem states that for any right triangle, the square of the length of the hypotenuse (the ramp in this case) is equal to the sum of the squares of the other two sides (the height and the distance from the edge of the loading dock to the end of the ramp).
In this case, we can write:
16² = h² + 14²
256 = h² + 196
60 = h²
Taking the square root of both sides, we get:
h = √60
h ≈ 7.746
Therefore, the height of the loading dock is approximately 7.746 feet (to the nearest tenth of a foot).
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evaluate the expression 5 ⋅ � 3 � 2 x 2 5⋅x 3 start fraction, 5, dot, x, cubed, divided by, x, squared, end fraction for � = 2 x=2x, equals, 2.
The value of the expression is found to be 1 0 when the value of x is equal to 2.
The expression provided to us is 5.x³/x² for x = 2.
Now, in order to evaluate this expression, we will follow the simple,
5.x³/x² = 5x.
First as we can see, x³ can be divided by x²and then we will get x as the outcome of the simple division operation,
So, we will get,
5x
Now, we have to put the value of x equal to 2 so that we get to know about the exact value of the expression,
x = 2,
= 5(2)
= 10
So, the value of the expression is found to be 10 when the value of x was 2.
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Complete question - Evaluate the expression 5.x³/x² for x equals to 2.
Yaqub has a bag only containing green and yellow pins
3/7 of the pins are green
He picks out a green pin from his bag and gives it to his sister
2/5 of the remaining pins in his bag are green
how many of the remaining pins in his bag are green and how many are yellow
The answer is that there are 8 green pins and 12 yellow pins remaining in the bag after Yaqub gives a green pin to his sister.
Describe Probability?Probability is a branch of mathematics that deals with the study of random events or phenomena. It is used to measure the likelihood or chance of an event occurring. Probability is represented as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event.
The probability of an event is calculated by dividing the number of favorable outcomes by the total number of possible outcomes. For example, if a fair coin is flipped, the probability of getting heads is 1/2, since there is one favorable outcome (heads) out of two possible outcomes (heads or tails).
There are two main types of probability: theoretical probability and empirical probability.
Theoretical probability is based on mathematical calculations and assumes that all outcomes are equally likely. For example, the theoretical probability of rolling a six on a fair die is 1/6, since there is one favorable outcome out of six possible outcomes.
Empirical probability is based on observations and experiments and reflects the actual frequency of an event occurring. For example, the empirical probability of rolling a six on a particular die after many rolls may be different from the theoretical probability due to factors such as bias or chance.
Probability is used in many real-life situations, such as in games of chance, insurance, stock market analysis, and weather forecasting. It is also used in various fields of science, such as physics, biology, and chemistry, to model and analyze the behavior of complex systems.
Let's start by using algebra to represent the information given in the problem.
Let G be the number of green pins in the bag, and Y be the number of yellow pins in the bag. We know that:
G + Y is the total number of pins in the bag.
G/(G + Y) = 3/7, since 3/7 of the pins are green.
(G - 1)/[(G - 1) + Y] = 2/5, since after Yaqub gives a green pin to his sister, there are (G - 1) green pins remaining out of (G - 1 + Y) total remaining pins.
To solve for G and Y, we can use algebra to manipulate the equations:
G/(G + Y) = 3/7 can be simplified to 7G = 3(G + Y), which gives us 4G = 3Y.
(G - 1)/[(G - 1) + Y] = 2/5 can be simplified to 5(G - 1) = 2(G - 1 + Y), which gives us 3G - 2Y = 3.
We now have two equations with two variables, so we can solve for G and Y using substitution or elimination. For simplicity, we will use substitution.
From 4G = 3Y, we can solve for Y in terms of G:
Y = (4/3)G
Substituting this into 3G - 2Y = 3, we get:
3G - 2(4/3)G = 3
Simplifying, we get:
G = 9
Therefore, there are 9 green pins in the bag. Using the equation Y = (4/3)G, we get:
Y = (4/3)(9) = 12
So there are 12 yellow pins in the bag. After giving one green pin to his sister, Yaqub has 8 green pins and 12 yellow pins remaining in his bag. To check that 2/5 of the remaining pins are green, we can calculate:
8/(8+12) = 4/10 = 2/5
Therefore, the answer is that there are 8 green pins and 12 yellow pins remaining in the bag after Yaqub gives a green pin to his sister.
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Help please ASAP! Thanks
Find the point-slope equation for the line that passes through the points (-4,24) and (7,-53). Use the first point in your equation.
Y - __ = __ ( x - __)
The equation of the points is y + 4 = -7(x = 24)
How to determine the equation of the pointsFrom the question, we have the following parameters that can be used in our computation:
(-4,24) and (7,-53)
The slope is calculated as
m = (-53 - 24)/(7 + 4)
m = -7
The equation is then calculated as
y - y1 = m(x - x1)
Substitute the known values in the above equation, so, we have the following representation
y + 4 = -7(x = 24)
Hence, the equation is y + 4 = -7(x = 24)
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how to convert 5/6 as percent?
5/6 can be expressed as 83% in percentage form.
Percentages are a way of expressing a fraction as a portion of 100. This makes it easier to compare fractions and understand their relative sizes. In this case, we will be converting the fraction 5/6 into a percentage.
To convert 5/6 into a percentage, we need to first divide the numerator (top number) by the denominator (bottom number) and then multiply the result by 100. This will give us the percentage equivalent of the fraction.
So, let's do the math:
5 ÷ 6 = 0.83333...
We can round this to two decimal places, giving us:
0.83
Now, we need to multiply this by 100 to convert it into a percentage:
0.83 × 100 = 83%
It's important to remember that percentages are a way of expressing a portion of 100. So, when we say that 5/6 is 83%, we are saying that 5/6 is equivalent to 83 out of 100. This means that if we were to divide something into 100 equal parts, 83 of those parts would be equivalent to 5/6.
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The quadratic equation x x4 3 2 0 2 − − = has what roots
The quadratic equation x2 - 4x + 3 = 0 has two roots. The roots are given by the quadratic formula as x = [4 ± √(16 - 12)]/2, which gives x = [4 ± 2√3]/2. Therefore, the roots are x = 2 ± √3.
The quadratic equation x^2 - 4x - 3 = 0 has two roots.
To find the roots of this equation, we can use the quadratic formula:
x = (-b ± √(b^2 - 4ac))/(2a)
In this case, a = 1, b = -4, and c = -3. Plugging these values into the quadratic formula, we get:
x = (-(-4) ± √((-4)^2 - 4(1)(-3)))/(2(1))
x = (4 ± √(16 + 12))/2
x = (4 ± √28)/2
x = (4 ± 2√7)/2
Simplifying further, we get:
x = 2 ± √7
Therefore, the two roots of the equation are x = 2 + √7 and x = 2 - √7.
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Which transformations or sequence of transformations prove the objects are congruent? Select THREE that are correct.
Answer:
The similar figures have dimensions equal in proportion. But in the case of congruent, the transformation of objects is done by using rotation, reflection or translation. The shape is turned or flipped to transform into another shape.
Step-by-step explanation:
help?????Miranda and Rory are multiplying 413
by different fractions. The table shows their work.
Rory's product is____
Mirandas because Rory is multiplying by a factor ______.
Rory's product is less than Maranda's because 13/9 is less than 13/3
Describe Fraction?In mathematics, a fraction represents a part of a whole. A fraction consists of two numbers separated by a horizontal line called a fraction bar or a division sign. The number above the bar is called the numerator, and the number below the bar is called the denominator.
The numerator represents the number of parts being considered, while the denominator represents the total number of parts in the whole. For example, in the fraction 3/4, 3 is the numerator and 4 is the denominator. This fraction represents three parts out of a total of four equal parts.
Fractions can be written in different forms, such as proper fractions, improper fractions, and mixed numbers.
A proper fraction has a smaller numerator than the denominator, such as 2/3 or 5/8.
An improper fraction has a numerator that is equal to or greater than the denominator, such as 7/4 or 11/6.
A mixed number consists of a whole number and a proper fraction, such as 2 1/3 or 3 2/5.
Fractions are used in many real-life situations, such as cooking, measuring, and financial calculations. They are also an essential part of mathematics and are used in operations such as addition, subtraction, multiplication, and division.
From the table, it appears that Maranda multiplied 4 1/3 by 4 1/3 and then by 1/3, while Rory multiplied 4 1/3 by 1/3 and then by 4 1/3.
Multiplying by 1/3 first reduces the overall size of the number being multiplied, resulting in a smaller product. This is what Rory did, which is why their product is less than Maranda's.
On the other hand, Maranda multiplied by the larger numbers first and then by the smaller fraction, resulting in a larger overall product.
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The complete question is:
Maranda and rory are multiplying 4 1/3 by different fractions the table shows there work
maranda / rory why is rory's product less than maranda's
4 1/3 x 4 1/3 x 1/3
3/3 =4 1/3 1 4/9
if the cross-price elasticity of demand for two goods is 1.25, then:________
If the cross-price elasticity of demand for two goods is 1.25, then the two goods are substitutes.
Cross Price Elasticity of Demand:
The cross elasticity of demand is an economic concept that measures the response of the quantity demanded of one good to changes in the price of another good. Also known as the cross-price elasticity of demand, this measure is calculated by dividing the percentage change in quantity demanded for one good by the percentage change in price of another commodity.
[tex]E_X_Y[/tex] = [tex]\frac{Percentage change in Quantity of X }{Percentage Change in Quantity of Y}[/tex]
[tex]E_X_Y[/tex] = ΔQ/Q ÷ ΔP/P
= ΔQ/Q × P/ΔP
= ΔQ/ΔP × P/Q
where:
Q = Quantity of good X
P = Price of good Y
Δ = Change
The cross elasticity of demand for a substitute is always positive because an increase in the price of a substitute increases the demand for one good. For example, when the price of coffee rises, the demand for tea (alternative beverage) increases as consumers switch to cheaper but alternative beverages. This is reflected in the formula for the cross-elasticity of demand, as the numerator (the percentage change in demand for tea) and the denominator (the price of coffee) represent positive increases.
Items with a coefficient of 0 are unrelated and independent products. Commodities can be weak substitutes for which both products are positive but have a low cross-elasticity of demand. This is often the case with various alternative products such as tea or coffee. Commodities that are strong substitutes have a higher cross-elasticity of demand. Consider a different brand of tea. An increase in the price of green tea from one company has a greater impact on the demand for green tea from the other company.
The cross elasticity of demand is 1.25. Positive cross elasticity means that when the price of one good changes, the quantity demanded of another good changes in the same direction. For example, when the price of one good increases, the demand for another good increases.
This indicates that the two products are fungible. When the price of a product rises, consumers will prefer the cheaper product. As a result, the demand for alternatives will increase.
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Consider the solid obtained by rotating the region bounded by the given curves about the x-axis. y = 2/7 x^2, y = 9/7 - x^2 Find the volume V of this solid. V = Sketch the region, the solid, and a typical disk or washer. (Do this on paper. Your instructor may ask you to turn in this work.)
Take into consideration the solid that results from rotating the area enclosed by the provided curves about the x-axis. y = 2/7 x^2, y = 9/7 - x^2 . the volume of the solid is approximately 1.412 cubic units.
To find the volume of the solid obtained by rotating the region bounded by the curves y = 2/7 [tex]x^{2}[/tex] and y = 9/7 - [tex]x^{2}[/tex] about the x-axis, we can use the method of disks or washers.
First, we need to find the limits of integration. The curves intersect when:
2/7[tex]x^{2}[/tex] = 9/7 - [tex]x^{2}[/tex]
Multiplying both sides by 7, we get:
2[tex]x^{2}[/tex] = 9 - 7[tex]x^{2}[/tex]
9[tex]x^{2}[/tex] = 9
[tex]x^{2}[/tex] = 1
x = ±1
Therefore, the limits of integration are x = -1 and x = 1.
Next, we need to express the curves in terms of y. Solving for x in each equation, we get:
x = ±√(7/2 y)
x = ±√(9/7 - y)
Using the method of disks, we can find the volume of the solid by integrating the areas of circular disks with radius y from y = 0 to y = 9/7.
The radius of each disk is given by the difference between the upper and lower curves evaluated at y:
r = √(9/7 - y) - √(7/2 y)
The area of each disk is given by:
A = π[tex]r^{2}[/tex]
Substituting for r, we get:
A = π [√(9/7 - y) - √(7/2 y)]
Expanding and simplifying, we get:
A = π [9/7 - y + 7/2 y - 2√(9/7 y)]
A = π [9/7 + 3/2 y - 2√(9/7 y)]
Integrating with respect to y, we get:
V = ∫[0, 9/7] π [9/7 + 3/2 y - 2√(9/7 y)] dy
V = π [(9/7) y + (3/4) - (4/9) [tex]9/7^{3/2}[/tex] [tex]y^{3/2}[/tex]] [0, 9/7]
V = π [81/28 - (64/81) [tex]9/7^{3/2}[/tex]]
V ≈ 1.412
Therefore, the volume of the solid is approximately 1.412 cubic units.
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the irreducible factorisation of 3a^3 + 6a is?
i) 3a(a^2 + 2)
ii) 3(a^3 + 2)
iii) a (3^2 + 6)
iv) 3 x a x a x a + 2 x 3 x a
What is the area of the parallelogram?
four hundred forty-four and three-eighths ft2
four hundred twenty-one and seven-eighths ft2
four hundred twelve and one-half ft2
four hundred five and one-half ft2
The area of the given parallelogram is 421 7/8 ft² [option 2]
What is parallelogram?A parallelogram is a special type of quadrilateral that has both pairs of opposite sides parallel and equal.
Given that, a parallelogram, with height 18 3/4 ft and base length 22 1/2 ft,
The area of a parallelogram = base x height
Area = 18 3/4 x 22 1/2
= 421 7/8 ft²
Hence, the area of the given parallelogram is 421 7/8 ft² [option 2]
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Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean of 0°C
and a standard deviation of 1.00°C. A single thermometer is randomly selected and tested. Find P91, the 91-
percentile. This is the temperature reading separating the bottom 91% from the top 9%.
P91
=
The temperature separating the bottom 91% from the top 9% is given as follows:
P91 = -1.34ºC.
How to obtain the measure using the normal distribution?The z-score of a measure X of a variable that has mean symbolized by [tex]\mu[/tex] and standard deviation symbolized by [tex]\sigma[/tex] is obtained by the rule presented as follows:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The z-score represents how many standard deviations the measure X is above or below the mean of the distribution, depending if the obtained z-score is positive or negative.Using the z-score table, the p-value associated with the calculated z-score is found, and it represents the percentile of the measure X in the distribution.The mean and the standard deviation for this problem are given as follows:
[tex]\mu = 0, \sigma = 1[/tex]
For the P91, the temperature is obtained as X when Z has a p-value of 0.91, so X when Z = 1.34, hence:
1.34 = X/1
X = 1.34ºC.
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Last month, Ed spent $50 in all. He spent 40% of the money at the movies. How much money did Ed spend at the movies
Express the following fraction in simplest form using only positive exponents. \frac{12u^{10}}{4(u^{3})^4}
4(u
3
)
4
12u
10
The simplified form of the fraction is 3/u², where u is a positive real number.To simplify this fraction, we can first simplify the denominator by using the exponent rule that says: [tex](a^{m}) ^{n} =(a^{m*n})[/tex]. Applying this rule, we get:
4(u³)⁴ = 4u³*⁴ = 4u¹²
Now, we can substitute this value back into the original fraction and simplify further:
(12u¹⁰)/(4(u³)⁴) = (12u¹⁰)/(4u¹²)
We can simplify the fraction further by dividing both the numerator and the denominator by the greatest common factor (GCF) of 12 and 4, which is 4. Also, we can simplify the exponent by using the exponent rule that says: [tex]\frac{a^{m} }{a^{n}} =a^{m-n}[/tex]. Applying these steps, we get:
(12u¹⁰)/(4u¹²) = (3u¹⁰)/(u¹²) = 3/u²
Therefore, the simplified form of the fraction is 3/u², where u is a positive real number.
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a company has two locations with a total of 23 employees. if four times the number of employees at the larger location is four greater than seven times the number of employees at the smaller location, how many employees are at each location, how many employees are at each location??
Consider that X is the staff so at tinier location while Y is workforce at the origin. 9 people are employed at tiny site, compared to 24 at larger location (s).Is the right answer.
X + Y = 33
It is assumed that two times the number of employees at the larger location is three times the number at the smaller location. The equation for this is as follows:
2Y = 5X + 3
Because we already know that X + Y = 33, we can write it as X = 33 - Y.
Let us now plug X into the above equation.
2Y = 5*(33 - Y) + 3
2Y = 165 - 5Y + 3
7Y = 168
Y = 168 / 7
Y = 24
Let us now compute the value of X.
X + Y = 33
X + 24 = 33
X = 9
The smaller location employs 9 people, while the larger location employs 24 people (s).
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A fruit shop sells dried fruit by the pound. The cost for x pounds of raisins is y=2.5x where y is the total cost for x pounds. The cost for 4 pounds of dried cranberries is $12.
include in your answer:
The Unit Rate for Raisins
The Unit Rate for Cranberries
the unit rate for cranberries is $3 per pound.
How did we get?
The unit rate for raisins is the cost per pound. Since the cost for x pounds of raisins is y=2.5x, the unit rate for raisins is:
$$\frac{y}{x}=\frac{2.5x}{x}=2.5$$
Therefore, the unit rate for raisins is $2.5 per pound.
The unit rate for cranberries is also the cost per pound. Since the cost for 4 pounds of dried cranberries is $12, the unit rate for cranberries is:
$$\frac{\text{cost}}{\text{quantity}}=\frac{12}{4}=3$$
Therefore, the unit rate for cranberries is $3 per pound.
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Divide. (44b2−22b)÷(11b) Enter your answer
Answer:
4b
Step-by-step explanation:
To solve this division problem, you need to divide 44b2−22b by 11b. To do this, you can use the long division method. Begin by dividing the first term of the dividend (44b2) by the divisor (11b). The quotient will be 4b and the remainder will be 0. Then, subtract the remainder from the next term of the dividend (22b). This will give you a difference of 22b. Divide this by the divisor (11b), and you will get a quotient of 2b and a remainder of 0. Since the remainder is 0, the final answer is 4b.
Measurement & space math questions. 20 pts, show working out!
Based on the information, the probability that the next buyer did not buy apples last week is: 0.23
How to calculate the probability that the next buyer did not buy apples last week?To calculate the probability that the next buyer did not buy apples last week we must carry out the following mathematical procedure:
Add up all the values.
17 + 12 + 5 + 8 + 2 + 8 + 3 = 55Now we add the number of buyers who bought apples
17 + 12 + 5 + 8 = 42Finally, to find the probability we must divide the number of people who bought apples by the total number of buyers.
42 / 55 = 0.76However, to find the value of those who did NOT buy apples we must subtract this value from 1.
1 - 0.76 = 0.23Learn more about probability at: https://brainly.com/question/30034780
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