write the prime factorization of 81 using a factor tree
Answers
Answer:
The Prime Factorization is:
3 x 3 x 3 x 3
In Exponential Form:
34
CSV Format:
3, 3, 3, 3
Prime Factors Tree
81
/ \
3 27
/ \
3 9
/ \
3 3
Step-by-step explanation:
Related Questions
During the new Moon phase, the Moon moves between Earth and the Sun. At this point, the Sun is m kilometers from the moon and e kilometers from Earth. Which absolute value expression represents the distance between the Moon and Earth? es A) le - ml B) mel Im-el D Cannot be determined
Answers
What is the linear slope between the two points: (2,-3) and (7,1)?
Answers
Answer:
m=4/5
Step-by-step explanation:
Hope I helped ヾ(＾-＾)ノ
Mr. Roy was creating bundles for his classes. He had 20 pencils, 80 pens and 55 markers.
He wanted each bundle to contain the same number of pencils, pens and markers.
a) What is the largest number of bundles he could create without any left over?
Answers
Answer:
The largest number of bundles he could create without any left over is 5.
Each bundle to contain 4 pencils, 16 pens and 11 markers
Step-by-step explanation:
Pencils = 20
Pens = 80
Markers = 55
a) What is the largest number of bundles he could create without any left over?
Find the highest common multiple of 20, 80 and 55
20 = 1, 2, 4, 5, 10, 20
80 = 1, 2, 4, 5, 8, 10, 16, 20......
55 = 1, 5, 11, 55
The highest common multiple of 20, 80 and 50 is 5
Pencils = 20 / 5
= 4
Pens = 80 / 5
= 16
Markers = 55 / 5
= 11
The largest number of bundles he could create without any left over is 5.
Each bundle to contain 4 pencils, 16 pens and 11 markers
PLEASE FOR BRIANLESTTTT RIGHT NOW
Answers
Answer:
what is the question???
Step-by-step explanation:
Answer:
your right
Step-by-step explanation:
i just did the math in my head and it looks like you did everything right! i dont know how you got your answer but its right i think
what are the dimensions of the largest rectangle that can be formed if all the sides (including the partition) sum to 600 units
Answers
The dimensions of the largest rectangle that can be formed if all the sides (including the partition) sum to 600 units are 150 units x 150 units. This solution yields an area of 22,500 square units.
To find the dimensions of the largest rectangle that can be formed if all the sides (including the partition) sum to 600 units, we can use the concept of optimization. Let's assume that the rectangle has a length of L and a width of W, with a partition dividing it into two smaller rectangles.
Since all the sides (including the partition) sum to 600 units, we can express this mathematically as:
L + W + 2x = 600
where x represents the length of the partition. Rearranging the equation, we get:
L + W = 600 - 2x
The area of a rectangle is given by the formula A = L x W. To find the largest possible area of the rectangle, we need to maximize this function.
Substituting the above equation into the area formula, we get:
A = (600 - 2x - W) x W
Expanding and simplifying, we get:
A = 600W - 2W^2 - Wx
To find the maximum value of A, we can differentiate it with respect to W and set it equal to zero:
dA/dW = 600 - 4W - x = 0
Solving for W, we get:
W = (600 - x)/4
Substituting this value of W back into the equation for A, we get:
A = (600 - x)^2/16
To maximize A, we need to minimize x. Since x represents the length of the partition, this means that the partition should be as small as possible. Therefore, the largest rectangle that can be formed will be a square with sides of 150 units, and the partition will have a length of zero.
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Costing chicken stock
180 lb. bone recipe
Cost this recipe according to the ratio guide's yield for 180 lbs. of bones
Do not use yield %
A. Calculate total cost for recipe B. Calculate cost for 1 gallon C. Calculate cost for 1 cup D. Calculate cost for 2oz. of glace de Volaille chicken bones $0.40 onions $0.27 celery $1.02 carrots $0.33 sachet $1.25 Requirements
DUE Date posted in Moodle
- must show all work - can be hand-written and added as a picture or scanned pdf
- assume 100% yield
- Please be sure to label all numbers as to money or weight. Be sure to round to two decimal places.
Answers
A. The total cost for the recipe is $270.00.
To calculate the total cost, we need to multiply the weight of each ingredient by its respective cost per pound and sum them up. (180 lb. bones x $0.40/lb.) + (180 lb. onions x $0.27/lb.) + (180 lb. celery x $1.02/lb.) + (180 lb. carrots x $0.33/lb.) + (180 lb. sachet x $1.25/lb.) = $72.00 + $48.60 + $183.60 + $59.40 + $225.00 = $588.60. Rounded to two decimal places, the total cost for the recipe is $270.00.
B. The cost for 1 gallon of chicken stock is $1.88.
To calculate the cost for 1 gallon, we divide the total cost of the recipe by the yield in gallons. Assuming a 100% yield, the cost for 1 gallon is $270.00 / 144 gallons = $1.875. Rounded to two decimal places, the cost for 1 gallon of chicken stock is $1.88.
C. The cost for 1 cup of chicken stock is $0.12.
To calculate the cost for 1 cup, we divide the cost for 1 gallon by the number of cups in a gallon. There are approximately 16 cups in a gallon, so $1.88 / 16 = $0.1175. Rounded to two decimal places, the cost for 1 cup of chicken stock is $0.12.
D. The cost for 2 oz. of glace de Volaille (chicken bones) is $0.17.
To calculate the cost for 2 oz., we divide the cost for 1 cup by the number of cups in 16 oz. (1 pound). Therefore, $0.12 / 8 = $0.015. Multiplying this by 2 gives us $0.03. Rounded to two decimal places, the cost for 2 oz. of glace de Volaille chicken bones is $0.17.
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3x+5x=10 what problem begins the same way
Answers
The value of [x] for which 3x + 5x = 10, will be 5/4.
What is a function? What is equation modelling? What is a mathematical equation and expression?In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the functionEquation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis of the given problem.A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.A mathematical equation is used to equate two expressions.
Given is the equation -
3x + 5x = 10
We have -
3x + 5x = 10
8x = 10
x = 10/8
x = 5/4
Therefore, the value of [x] for which 3x + 5x = 10, will be 5/4.
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try ur best
FRIEND ME :p
Answers
Answer:
6Step-by-step explanation:
If Kevin has 4 more points
than Carl, and then Tom has
2 fewer points than Carl, then Kevin
had 6 more points than all of Tom's points.
Hope this helps! <3
Instructions: Find the surface area of
each figure. Round your answers to the
nearest tenth, if necessary.
Surface Area:
5.2 cm.
cm²
Answers
Answer:
Given is radius of circle that is 5.2, you just need to find the area of the circle.
To find the are of circle is A=πr2
π value is 3.14 and radius value is 5.2 you just need to square the 5.2, answer will come 27.04
now multiply the πr and 27.04.
the answer will come 84.9 and question says to round to the nearest tenth, that will be 85.
Rounding to the nearest tenth, the surface area of the circle with a 5.2 cm radius is approximately 84.8 cm².
The surface area of a circle can be calculated using the formula:
Surface Area = π * radius²
where π (pi) is a mathematical constant approximately equal to 3.14159, and the radius is the distance from the center of the circle to any point on its edge.
Given the radius is 5.2 cm, we can now calculate the surface area:
Surface Area = 3.14159 * (5.2 cm)²
Surface Area = 3.14159 * 27.04 cm²
Surface Area ≈ 84.823 cm²
The surface area represents the total area of the circle's two-dimensional space. In this case, it gives us the total area of the circular region with a 5.2 cm radius.
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What percent is 12 of 32 need help quick
Answers
Answer:
37.5%
Step-by-step explanation:
got this question correct
What is the Domain and Range of y = e^x+1
Answers
The domain of the function y = e^(x+1) is (-∞, ∞) as there are no restrictions on the values of x.
The range of the function is (0, ∞) as the exponential function e^x always produces positive values.
We have,
The function y = e^(x+1) represents an exponential function where the base is the mathematical constant e (approximately 2.71828).
In this function, the exponent is (x+1), which means that the value of x is shifted by 1 unit to the left.
The domain of a function refers to the set of all possible input values for which the function is defined. In this case, there are no restrictions on the values of x, so the domain is (-∞, ∞), indicating that any real number can be used as an input.
The range of a function represents the set of all possible output values that the function can produce.
In the case of the exponential function y = e^(x+1), the base e raised to any real number (x+1) always produces positive values.
Therefore, the range is (0, ∞), indicating that the function can produce any positive real number, but it never reaches zero or goes into the negative range.
Thus,
The domain of the function y = e^(x+1) is (-∞, ∞) as there are no restrictions on the values of x.
The range of the function is (0, ∞) as the exponential function e^x always produces positive values.
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If A is an odd integer and B is an even integer, which of the following is an odd integer? A: a^bB:b^aC:1^a-bD:2^a-bE:2^a+b
Answers
the greek letter used to represent the probability of a type i error is alpha (α). true or false
Answers
True, the Greek letter used to represent the probability of a Type I error is alpha ().
The Greek letter alpha (α) is indeed used in statistics, but it represents the level of significance chosen for a statistical test. The level of significance is the probability of rejecting the null hypothesis when it is actually true. The probability of making a Type I error (rejecting the null hypothesis when it is true) is equal to the level of significance (α) chosen for the test.
Therefore, alpha is not used to represent the probability of a Type I error directly, but it is related to it. The probability of a Type I error depends on the chosen level of significance and the specific hypothesis test being conducted.
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True. The Greek letter used to represent the probability of a Type I error is alpha
This is a statement and not a question. However, if you are asking whether the statement "the Greek letter used to represent the probability of a type i error is alpha (α)" is true or false, the answer is that it is partially true. While the Greek letter α is commonly used to represent the significance level (or the probability of a Type I error) in hypothesis testing, it is not the only letter that can be used.
Other letters such as β and γ may also be used in certain contexts. So the complete answer would be a long answer that explains the partial truth of the statement.
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can anyone help me please?
Answers
Answer:
the third answer, .8=.80
Step-by-step explanation:
Answer:
they are the same no matter how many zeros are behind it
Step-by-step explanation:
PLEASE PLEASE PLEASE HELP ASAP *grade 9 work* best answer gets brainliest :)
Answers
X=70 and y=125
Here we can find x by the property of linear pair
And y by angle sum property for parallelogram
Number 14
X=30
We can use angle sum property here
So 2x+3x+x=180
6x=180
X=180/6
X= 30
Hope it helps
And don’t forget to mark as brainliest
10. Which is the correct classification of the value 7 pi?
Answers
Answer:
the answer is that it is real rational integer
What is the annual discount rate if a cashflow of £52 million in 5 years' time is currently valued at £25 million?
a. 86.37\% b. 15.77% c. 21.60% d. 115.77% e. 108.00%
Answers
The correct answer is option b. 15.77%. The annual discount rate, also known as the discount rate or the rate of return, can be calculated using the present value formula.
Given that a cash flow of £52 million in 5 years' time is currently valued at £25 million, we can use this information to solve for the discount rate.
The present value formula is given by PV = CF / (1 + r)^n, where PV is the present value, CF is the cash flow, r is the discount rate, and n is the number of years.
In this case, we have PV = £25 million, CF = £52 million, and n = 5. Substituting these values into the formula, we can solve for r:
£25 million = £52 million / (1 + r)^5.
Dividing both sides by £52 million and taking the fifth root, we have:
(1 + r)^5 = 25/52.
Taking the fifth root of both sides, we get:
1 + r = (25/52)^(1/5).
Subtracting 1 from both sides, we obtain:
r = (25/52)^(1/5) - 1.
Calculating this value, we find that r is approximately 0.1577, or 15.77%. Therefore, the annual discount rate is approximately 15.77%, corresponding to option b.
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Which of the following characteristics of a house would be considered a qualitative variable? Size in Square Feet Mailing Address Number of Bathrooms Estimated Market Value
Answers
The characteristic of "Mailing Address" would be considered a qualitative variable.
A qualitative variable is a type of variable that is used to assign information that can't be measured by numbers. Qualitative data is used to label the attributes of the individuals, objects, or other items in the study.Types of Qualitative DataThere are many types of qualitative data, for instance:Nominal Data is data that can't be ranked and the measurements have no specific order or sequence.Ordinal Data is data that can be ranked and that has a definite order or sequence.Below are the options given and among them which is qualitative.Size in Square FeetMailing AddressNumber of BathroomsEstimated Market ValueAmong the given options, Mailing Address is considered a qualitative variable. Therefore, the answer is "Mailing Address".
Quantitative data are generally numerical and can be counted or measured, while qualitative data are descriptive and non-numerical. Qualitative data provide a descriptive view of the information that can be used to form ideas or summarize patterns. Qualitative data are frequently used in qualitative studies, but they can also be used in quantitative studies. However, the characteristics of a house that are qualitative variables can be any type of descriptive data that cannot be measured with a numerical value.Mailing Address is a qualitative variable. Because it is a type of data that cannot be counted or measured, it is a qualitative data type. Qualitative data are often used to describe something or to provide more information than can be given by numbers alone. Therefore, the characteristic of "Mailing Address" would be considered a qualitative variable.
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(20 PTS)(Alg2)what are the zeros of the quadratic function y=3(x-5)(x+4)
Answers
Answer:
They are 5 and -4
The given equation's zeroes are 5 and -4.
What are polynomials?In quadratic equations, it is a polynomial with a degree of 2 or the maximum power of the variable is 2. It has two options because its maximum power is two.
Given the equation y=3(x-5)(x+4). The zeroes will be calculated as:-
y = 3 (x - 5 ) ( x + 4 )
y = 0
Solve the equation for the zeroes as below,
3(x-5)(x+4) = 0
( x - 5 ) = 0
x = 5
x + 4 = 0
x = -4
Therefore, the zeroes are 5 and -4.
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Which of the following is a prime number between 10 and 20?
A.
14
B.
11
C.
18
D.
15
Answers
Answer:11
Step-by-step explanation:
Answer:
B - 11
Step-by-step explanation:
(05.02)
Solve the following system of equations: (1 point)
x − 2y = 14
x + 3y = 9
Group of answer choices
(1, 12)
(−1, −12)
(12, −1)
(12, 1)
Answers
A cookie cake is sliced into 6 equal pieces. The
arc length of one slice of cookie cake is 42in. What is the area of one cookie slice?
Answers
Answer:
the area of one cookie slice is 7
Ste p-by-step explanation:
Need some help! Please be specific.
Write a system of equations to represent the following word problem:
ASB sold 340 raffle tickets. Advanced tickets cost $2 each and same-day tickets cost $3 each. If a total of $810 was collected, how many of each type of ticket was sold?
Answers
Answer: 210 advanced tickets were sold. 130 same day tickets were sold.
Step-by-step explanation:
x= advanced tickets y=same day tickets
2x+3y=810 this equation represents the money
x+y=340 this equation represents the total number of tickets
x+y=340
-x -x
y=-340-x 2x+3(340-x)=810 210+y=340
2x+1020-3x=810 -210 -210
-x+1020=810 y=130
-1020 -1020
-x=-210
-1 -1
x=210
HELP NEEDED IMMEDIATELY
Answers
Answer:
Step-by-step explanation:
B:Convert the fractional part only then add it to the whole number.
C : 9 1/2,3π,92/5,91/10
B : √26,5.5,5.8,31/5
B: -7,20/3, 7.1 ,√51 , 6π
C: -π , -√5 , -3/2,-1.03
Sam purchases five goldfish and an aquarium with a rectangular base. The aquarium measures twenty-four inches long, eight inches wide, and nine inches tall. Sam fills the aquarium. How many cubic inches of water are in Sam's aquarium?
Select one:
2,112 cubic inches
1,449 cubic inches
1,920 cubic inches
1,728 cubic inches
Answers
Explanation: 24x8x9
The volume of the water in Sam's aquarium cuboid is 1,728 cubic inches.
What is the volume of the cuboid?The volume of the cuboid is the product of the length, breadth, and height of the given prism.
Volume of cuboid = (length x width x height)
The aquarium measures are twenty-four inches long, eight inches wide, and nine inches tall.
Volume of cuboid = (length x width x height)
= 24 x 8 x 9
= 1,728 cubic inches
Thus, the volume of the cuboid is 1,728 cubic inches.
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Consider the expression "3 times the sum of a number and 8."
Which expressions represent the word phrase? Select all answers that are correct.
3 (8 + n)
03.8+n
3n +8
03 (n+8)
Answers
Answer:
3(8+n)
Step-by-step explanation:
3*n+8 = 3(n+8) so the answer is the first option
What is the value of 2^2+6^2÷2^2 PLZ HELP ME
Answers
Answer:
equals 10
Step-by-step explanation:
Use Algorithm 1 to find the transitive closures of these relations on {1, 2, 3, 4}.
a. {(1,2), (2,1), (2,3), (3,4), (4,1)}
b. {(2,1), (2, 3), (3,1), (3,4), (4,1), (4, 3)}
c. {(1,2), (1,3), (1,4), (2,3), (2,4), (3, 4)}
d. {(1, 1), (1,4), (2,1), (2,3), (3, 1), (3, 2), (3,4), (4, 2)}
Answers
To find the transitive closures of the given relations, we can use Algorithm 1, also known as the Warshall's algorithm. Here are the transitive closures for each relation:
a. Relation: {(1,2), (2,1), (2,3), (3,4), (4,1)}
Transitive Closure: {(1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (2,4), (3,1), (3,2), (3,3), (3,4), (4,1), (4,2), (4,3), (4,4)}
b. Relation: {(2,1), (2, 3), (3,1), (3,4), (4,1), (4, 3)}
Transitive Closure: {(2,1), (2,3), (2,4), (3,1), (3,3), (3,4), (4,1), (4,3), (4,4)}
c. Relation: {(1,2), (1,3), (1,4), (2,3), (2,4), (3,4)}
Transitive Closure: {(1,2), (1,3), (1,4), (2,3), (2,4), (3,4)}
d. Relation: {(1, 1), (1,4), (2,1), (2,3), (3, 1), (3, 2), (3,4), (4, 2)}
Transitive Closure: {(1,1), (1,4), (2,1), (2,3), (2,4), (3,1), (3,2), (3,3), (3,4), (4,1), (4,2), (4,3), (4,4)}
In the transitive closure, every pair (i, j) represents a directed edge from i to j in the transitive closure graph.
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what i 108 x 15 explain your answer
Answers
Answer:
1,620
Step-by-step explanation:
you do 108 times 15 and the answer will be 1,620
Answer:
1620
Step-by-step explanation:
Which shows the expressions in the order they would appear on a number line from least to greatest? (5 points) a 17 over 9, square root of 6, square root of 15, square root of 30, 3 to the power of 3 b 3 to the power of 3, square root of 30, square root of 15, square root of 6, 17 over 9 c 3 to the power of 3, square root of 6, square root of 15, 17 over 9, square root of 30 d 17 over 9, square root of 30, square root of 15, 3 to the power of 3, square root of 6
Answers
An expression which shows the order the numbers would appear on a number line from least to greatest is: A. 17 over 9, square root of 6, square root of 15, square root of 30, 3 to the power of 3.
What is a number line?A number line can be defined as a type of graph with a graduated straight line which is composed of both positive and negative numbers that are placed at equal intervals along its length.
In Mathematics, a number line typically increases in numerical value towards the right from zero (0) and decreases in numerical value towards the left from zero (0).
In order to arrange the given numbers in order from least to greatest, we would convert them into a decimal number as follows:
17/9 = 1.8889√6 = 2.4495√15 = 3.8730√30 = 5.47723³ = 9Read more on number line here: brainly.com/question/28032137
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