Answer:
The scale factor of the book to its shadow is 2/3 or 66.67%
Step-by-step explanation:
Shadow (cm): 18 x 12
Book (cm) : 12 x 8
We want the scale factor of the book (12x8) to the shadow (18x12).
We can write each dimension ratio (book/shadow) as:
12/18 and 8/12
2/3 and 2/3
The scale factor is 2/3 or 66.67%
Suppose we want to choose 2 letters, without replacement, from the5 letters A, B, C, D, and E.
There are 20 ways to choose 2 letters from the set A, B, C, D, and E if the order of the choices is relevant
If the order of the choices is relevant, we are looking for the number of permutations of 2 letters chosen from a set of 5 letters. We can use the permutation formula to calculate this:
nPr = n! / (n - r)!
where n is the total number of items in the set (5 letters in this case), and r is the number of items we want to choose (2 letters in this case).
nPr = 5! / (5 - 2)!
nPr = 5! / 3!
nPr = 5 x 4 x 3 x 2 x 1 / (3 x 2 x 1)
Divide the numbers
nPr = 20
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The given question is incomplete, the complete question is:
Suppose we want to choose 2 letters, without replacement, from the 5 letters A, B, C, D, and E.
How many ways can this be done, if the order of the choices is relevant?
You choose between red, blue, yellow, or green wallpaper and purple or yellow carpet. Find the total number of possible outcomes when you select one color of wallpaper and one color of carpet.
Answer: there are 8 outcomes
Step-by-step explanation:
1: red wallpaper and purple carpet
2: blue wallpaper and purple carpet
3: yellow wallpaper and purple carpet
4: green wallpaper and purple carpet
5: red wallpaper and yellow carpet
6: blue wallpaper and yellow carpet
7: yellow wallpaper and yellow carpet
8: green wallpaper and yellow carpet
Select the angle(s) with measures that are greater than m<2
Answer:
1, 4, and 7
Step-by-step explanation:
The rest are equal to angle 2
Al Medina, D.D.S, opened an incorporated dental practice on January 1, 2022. During the first month of operations, the following transactions occurred.
Performed services for patients who had dental plan insurance. At January 31, $760 of such services was completed but not yet billed to the insurance companies.
Utility expenses incurred but not paid prior to January 31 totaled $450.
Purchased dental equipment on January 1 for $80,000, paying $20,000 in cash and signing a $60,000, 3-year note payable (interest is paid each December 31). The equipment depreciates $400 per month. Interest is $500 per month
Purchased a 1-year malpractice insurance policy on January 1 for $24,000.
Purchased $1,750 of dental supplies (recorded as increase to Supplies). On January 31, determined that $550 of supplies were on hand.
Prepare the adjusting entries on January 31. Account titles are Accumulated Depreciation- Equipment, Depreciation Expense, Service Revenue, Accounts Receivable, Insurance Expense, Interest Expense, Interest Payable, Prepaid Insurance, Supplies, Supplies Expense, Utilities Expense, and Accounts Payable. (If no entry is required, select "No Entry for the account titles and enter O for the amounts. Credit account titles are automatically indented when the amount is entered. Do not indent manually.
The entry to record the services provided to patients with dental plan insurance but not yet billed is: Debit: Accounts Receivable - Dental Plan Insurance $760 ,Credit: Dental Services Revenue $760.
How to prepare the journal entry?To prepare the adjusting entries on January 31 for Al Medina, D.D.S, we need to analyze the transactions and determine the amounts that need to be recorded as expenses, prepaid expenses, and accrued expenses. Based on the information given, the following adjusting entries are required:
To record the services provided to patients with dental plan insurance but not yet billed:
Debit: Accounts Receivable - Dental Plan Insurance $760
Credit: Dental Services Revenue $760
To record the utility expense incurred but not yet paid:
Debit: Utilities Expense $450
Credit: Utilities Payable $450
To record the depreciation expense for the dental equipment:
Debit: Depreciation Expense $400
Credit: Accumulated Depreciation - Dental Equipment $400
To record the interest expense on the note payable:
Debit: Interest Expense $500
Credit: Interest Payable $500
To record the portion of the malpractice insurance policy that has been used up in January:
Debit: Insurance Expense $2,000 ($24,000 ÷ 12 months)
Credit: Prepaid Insurance $2,000
To adjust the Supplies account for the supplies used up in January:
Debit: Supplies Expense $1,200 ($1,750 - $550)
Credit: Supplies $1,200
Therefore after posting these adjusting entries, the financial statements will reflect the correct balances in the accounts and the expenses and revenues for the month of January will be accurately reported.
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Please help me for 30 points!!.
By adding the fractions and getting 5/6, we conclude that the correct option is B.
How Mariana could share the crackers left?We know that Mariana has 5/6 of the crackers left, so we only need to select the option where both fractions add upt o 5/6.
When both fractions have the same denominator like:
a/b and c/b
The sum is:
a/b + c/b = (a + c)/b
Then the correct option is the second one:
3/6 + 2/6 = (3 + 2)/6 =5/6
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Explain how to use the commutative property of multiplication to rewrite 4gh^3g^2h.
The commutative property of multiplication can be used to rewrite the given term as; 4g³h⁴.
What is the commutative property of multiplication?The commutative property of multiplication simply postulates that changing the order of factors does not change the product. Hence; a × b = b × a.
Hence, since the given expression; 4gh³g²h can be written using the commutative property as;
4 • g • g² • h³ • h.
Consequently, the resulting form of the term is therefore; 4g³h⁴.
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13 5/12 - 6 7/12 Please help me asap i really need this answer in fractions
The number of cows a farmer has on his farm over several years can be modeled by an arithmetic sequence. During the 2nd, 5th, and 7th years, he has 30, 39, and 45 cows, respectively. How many cows did the farmer have in his first year on the farm?
As per the arithmetic sequence, the farmer have 21 cows in his first year on the farm
An arithmetic sequence is a sequence of numbers in which each successive number is obtained by adding a fixed number to the previous number.
To determine the common difference, we can take the difference between any two consecutive terms in the sequence.
The difference between the 2nd and 5th years is 9 cows
=> (39 - 30 = 9).
Now that we know the common difference is 9, we can use it to find the first term of the sequence. To do this, we can take the second term (30 cows) and subtract the common difference from it.
This would give us the first term of the sequence, which is 21 cows.
Therefore, the farmer had 21 cows in his first year on the farm.
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I need Help :(((
I don't know how to write the symbols from the equation but I have included the photo.
Answer:
Quadrant III, sin θ = -12/13
Step-by-step explanation:
To solve this problem we can look at a unit circle (attached below). We can observe the following about the quadrants:
cos θ = 5/13 falls into the first OR fourth quadrant since cos (67) = 5/13 (roughly, obtained with inverse cosine function). However, we also have the restriction that sin θ < 0, therefore the quadrant that cos θ falls into is the fourth quadrant.
To find sin θ we first consider that cosine is adjacent over hypoteneuse. So, a = 5 and h = 13. Using pythagorean theorem we find that o (opposite) is equal to 12. Since sine is opposite over hypoteneuse we have:
sin θ = ±12/13
We use the plus or minuse sign because sin θ maps to both a positive and negative value, even though we used a geometrical approach, we still have to consider this. Of course, we know that sin θ has to be negative (given in the problem) so sin θ is -12/13.
What is the conversion of 2/5 in decimal ?
The conversion of a fraction number with denominator 5 and numerator 2 , 2/5 in decimals is equals to the 0.4 value.
A decimal number can be defined as a number whose whole number part and fractional part are separated by a decimal point. Writing 2/5 as a decimal number by converting the denominator to powers of 10. We multiply the numerator and denominator by a number so that the denominator is a power of 10.
2/5 = (2 × 2) / (5 × 2) = 4/10
Now move the decimal point to the left as many places as there are zeros in the denominator, which is a power of 10.
The decimal moved one place to the left because the denominator was 10. Therefore, 4/10 = 0.4. Hence, required value is 0.4.
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how many milligrams are in a millimeter
The formula to convert from milligrams to milliliters is mL = mg/1000 because there must be 1,000 milligrams in a milliliter.
Whereas a milligram (mg) is a unit of mass, a millimeter (mm) is a unit of length. There is no direct translation between these two units since they measure distinct things.
The mass in milligrams of a volume of a given substance with all dimensions equal to 1 millimeter can, however, be determined if you are requesting information on a specific substance and its density.
Given that there are 1000 cubic millimeters (mm3) in one cubic centimeter, if the material in question does have a density of 1 gram per cubic centimeter (g/cm3), for instance, a 1 mm3 volume of the material would have a mass of 1 milligram (mg).
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Part 2- Calculate Relative Frequencies
Calculate the relative frequencies for Tables 1 and 2 by dividing the value in each cell by the total for that table.
(For example, to calculate the relative frequency of men in Cambridge who walked to work, divide 8,110 by
20,276. You should get a decimal between 0 and 1 that, after moving the decimal point to the right two places,
represents the proportion of men in Cambridge who walked to work.) Round your numbers to the nearest whole
percentage and place them in Tables 3 and 4.
The relative frequency of men in Cambridge who walked to work is 0.39
How to find the relative frequency?Relative frequency is defined as the ratio of the considered sub group's count to the total count. (so its frequency of the considered sub group relative to the total frequency).
We have to consider that frequency of men in Cambridge who walked to work, 8,110 by 20,276.
In order to find the relative frequencies for Tables 1 and 2 by dividing the value in each cell by the total for that table.
Relative frequency = 8,110 /20,276
The Relative frequency = 0.399980
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What is Poke the bear in cyber security?
"Poke the bear" in cybersecurity refers to intentionally triggering a potential threat in order to test an organization's security systems and identify vulnerabilities.
In cybersecurity, "Poke the bear" means intentionally attempting to trigger a potential cyber threat in order to test an organization's security systems and identify vulnerabilities. This may involve actions such as sending a phishing email to see if employees fall for it, or attempting to breach a system in order to determine how strong its defenses are.
By proactively identifying weaknesses in their security systems, organizations can take steps to improve their cybersecurity posture and reduce the risk of a successful attack. However, "Poking the bear" should be done carefully and ethically, with appropriate permissions and safeguards in place.
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how much is 132 kg to lbs
The weight 132 Kg is approximately equivalent to 291 pounds (lbs) .
Both the units Pounds (lbs) and Kilogram (kg) are both the units of measurement of weights or mass .
We know that , 1 Kilogram is approximately equal to 2.2046 pounds (lbs) .
So , the conversion factor to convert the given weight becomes 2.2046 ;
We multiply the given weight with the conversion factor ,
We can write ;
⇒ 132 Kg = 132 × 2.2046
⇒ 132 Kg = 291.0072 lbs ≈ 291 lbs .
Therefore , 132 Kg is approximately equal to 291 lbs .
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What are the coordinates of V' after a reflection across y=-x with pre-image points V(−3, −1), Z(−3, 2), G(−1, 3), M(1, 1)?
The coordinates of V' after reflection(Dilation) across y=-x will be (3,1).
In mathematics, what is dilation?
Dilation is the process of changing the size of an object or form by shrinking or extending its dimensions based on certain scale variables. For example, a circle with radius 10 unit is decreased to a circle with radius 5 unit and there are only four basic types of transformations. They are as follows:
RotationTranslationReflectionDilation or ResizingSome characteristics stay constant during dilation are:
The figure's angles are all the same.The midpoints of the figure's sides stay the same as the midpoint of the dilated form.The figure's parallel and perpendicular lines stay the same as the dilated figure's parallel and perpendicular lines.The visuals stay unchanged.Now,
Before reflection
Coordinates of V are (−3, −1).
and reflection of V is across y=-x, which will make values for x and y opposite or change the sign of coordinates.
then coordinates of V' are (3,1)
hence,
The coordinates of V' after reflection(Dilation) across y=-x will be (3,1).
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Which body formally "impeaches" the president
Answer:
if ur asking who removes the president from office it's the constitution
find sides x and z for a 45, -45, 90 right triangle with the hypnotus being 8 radical 3 pls i’m so lost on how to find it
the value of x will be 8√2 for the given right-angle triangle.
What is the right-angle triangle?A triangle is said to be right-angled if one of its angles is exactly 90 degrees. The total of the other two angles is 90 degrees. Perpendicular and the triangle's base are the sides that make up the right angle. The longest of the three sides, the third side is known as the hypotenuse.
Given, Two right-angle triangles one with the height of "x" and a base angle of 45-degree.
Another with a base of 8 and a base angle of 60-degree.
From the cosine rule of trigonometry:
Cos θ = base/(hypotenuse)
Sin θ = height/(hypotenuse)
For the triangle with a base angle of 45-degree
sin 45 = height/(hypotenuse)
1/√2 = x/(hypotenuse)
hypotenuse = x *√2.....(1)
For the triangle with a base angle of 60-degree
cos 60 = base/(hypotenuse)
1/2 = 8/(hypotenuse)
hypotenuse = 16
substitute this value in equation 1
x = 8√2
therefore, the value of x will be 8√2 for the given right-angle triangle.
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Multiplying Polynomials
Find each product.
1) 6v(2v + 3) 2) 7(−5v − 8)
3) 2x(−2x − 3)
A polynomial is an equation made up of coefficients and in determinates that uses only the addition, subtraction, multiplication, and powers of positive-integer variables.
Multiplying Polynomials Find each product. 1) [tex]6v(2v + 3) 2) 7(-5v - 8)3) 2x(-2x -3)6v(2v + 3)[/tex]
To distribute the 6v over the binomial 2v + 3, we multiply 6v by each term inside the parenthesis:
[tex]6v(2v) + 6v(3)[/tex]
[tex]= 12v^2 + 18v7(-5v - 8)[/tex]
To distribute the 7 over the binomial -5v - 8, we multiply 7 by each term inside the parenthesis:
[tex]7(-5v) + 7(-8)= -35v - 562x(-2x - 3)[/tex]
To distribute the 2x over the binomial -2x - 3, we multiply 2x by each term inside the parenthesis:
[tex]2x(-2x) + 2x(-3)= -4x^2 - 6x[/tex]
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10 is what percentage of 50 
Answer:
20%
Step-by-step explanation:
10 of 50 can be written as:1050To find percentage, we need to find an equivalent fraction with denominator 100. Multiply both numerator & denominator by 1001050 × 100100= (10 × 10050) × 1100 = 20100 Therefore, the answer is 20%
Which could be the function graphed below? on a coordinate plane, a curve opens down and to the right in quadrants 1 and 4. the curve starts on the y-axis in quadrant 4 and goes through the x-axis into quadrant 1. f (x) = startroot x endroot minus 2 f (x) = startroot x minus 3 endroot 1 f (x) = startroot 2x 4 endroot f (x) = startroot x 1 endroot 8
The function that can be graphed is option (d) f(x) = √(x + 1) + 8
Functions are commonly used in mathematics to describe relationships between variables.
To determine which of the four functions could be graphed, we first need to identify the curve's intercepts and asymptotes.
From the graph, we can identify the intercepts as (0,8) and (–3,0). The asymptotes are given by the equations x = 0 and y = 8. We can then use these points to compare the given functions and determine which one could be used to graph the curve.
Of the four functions, only f(x) = √(x + 1) + 8 fits the given description. This function has intercepts at (0,8) and (–3,0) and asymptotes at x = 0 and y = 8. Thus, f(x) = √(x + 1) + 8 is the function that could be graphed
Therefore, option (d) is right choice.
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Answer: D
Step-by-step explanation:
EDGE 2023
what us systems of equations solver
Systems of equations solver called Wolfram or Alphas can resolve systems of linear equations or nonlinear equations, and it can look for solutions that are only integers.
Systems of direct equations are a common and applicable subset of systems of equations. In the case of two variables, these systems can be allowed of as lines drawn in two- dimensional space. However, the system is said to be harmonious and has a result at this point of crossroad, If all lines meet to a common point. The system is said to be inconsistent else, having no results. Systems of direct equations involving further than two variables work also, having either one result, no results or horizonless results( the ultimate in the case that all element equations are original).
More general systems involving nonlinear functions are possible as well. These retain more complicated result sets involving one, zero, horizonless or any number of results, but work also to direct systems in that their results are the points satisfying all equations involved. Going further, more general systems of constraints are possible, similar as bones that involve inequalities or have conditions that certain variables be integers.
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A computer and a printer cost a total of 1062. The cost of the computer is two times the cost of the printer.Find the cost of each item
Answer:
The cost of the computer is 712 and the cost of the printer is 350. This can be calculated by setting up a simple equation: x + 2x = 1062, where x is the cost of the printer. Solving for x gives x = 350, which means that the cost of the printer is 350 and the cost of the computer is 2x = 2(350) = 712.
Ashley and Gina took off from the same spot at the same time and headed in the same direction. if Ashley travels at 20 mph and Gina travels at 14 mph, how many hours will it be before Ashley is 9 miles ahead of Gina? Write the answer as a decimal
Answer:
It will take Ashley 3 hours to be 9 miles ahead of Gina, since she is traveling 6 mph faster. This can be calculated by dividing 9 miles by 6 mph to get 1.5 hours. Therefore, the answer is 1.5 hours, or 1.5 as a decimal.
A bag contains 9 blue marbles and 45 white marbles. If a representative sample contains 2 blue marbles, then how many white marbles would you expect it to contain? Explain.
Because the ratio of blue marbles to white marbles is ___
in the population, the expected number of white marbles is ___ times the number of marbles in the representative sample. There should be ___ white marbles.
Please help me ASAP ty!
10 is five times larger than 2, and the ratio of blue to white marbles in the population is 1:5
What is ratio ?
Ratio can be defined as given value divided by total value.
The ratio of blue marbles to white marbles in the population is:
9 blue marbles : 45 white marbles
which simplifies to:
1 blue marble : 5 white marbles
If a representative sample contains 2 blue marbles, we can use this ratio to find the expected number of white marbles in the sample:
2 blue marbles × 5 white marbles/blue marble = 10 white marbles
Therefore, we would expect the representative sample to contain 10 white marbles.
To explain this result, we can think of the representative sample as a smaller version of the population, where the ratio of blue marbles to white marbles is the same. Since we know that the ratio of blue to white marbles in the population is 1:5, we can use this ratio to estimate the number of white marbles we would expect to see in the sample, given that we have observed 2 blue marbles. In this case, we would expect to see 10 white marbles,
Hence, 10 is five times larger than 2, and the ratio of blue to white marbles in the population is 1:5
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what is 105 cm to inches?
Answer: 41.3386
Step-by-step explanation:
Samuel found the difference of the polynomials.
(15x^(2)+11y^(2)+8x)-(7x^(2)+5y^(2)+2x)
Samuel found the difference between the polynomials is 8x² + 6y² + 6x.
What is the polynomials?
An expression that contains coefficients, variables, non-negative integer exponents, and constants is known as a polynomial.
To find the difference between the polynomials, we need to subtract the second polynomial from the first polynomial.
(15x² + 11y² + 8x) - (7x² + 5y² + 2x)
First, we can simplify the coefficients of the like terms by subtracting them:
15x² - 7x² + 11y² - 5y² + 8x - 2x
Simplifying further, we get:
8x² + 6y² + 6x
Therefore, the difference between the polynomials is 8x² + 6y² + 6x.
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Please help I’ll give brainliest
Answer:-4x - 80z
10x^2=100-10z=90z -2x^2=4x-10z-90z
-90z
=--4x80z
significant figures include only the certain digits of a measurement. True or False?
The statement that significant figures include only the certain digits of a measurement is False
How to determine the true statementFrom the question, we have the following parameters that can be used in our computation:
Statement: significant figures include only the certain digits of a measurement
The above statement is false
This is so because significant figures refer to the digits in a measurement that are certain or known with confidence, plus the first uncertain or estimated digit.
The addiitonal uncertain digit implies that the statement is false
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2017, 1.20. 1ST
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A pole 5 feet tall is used to support a guy wire for a tower, which runs from the tower
to a metal stake in the ground. After placing the pole, Liam measures the distance
from the pole to the stake and from the pole to the tower, as shown in the diagram
below. Find the length of the guy wire, to the nearest foot.
Spr
Answer:
(Diagram is not to scale.)
5 ft
9 ft-
4 ft
ft
Submit Answe
The length of the wire is given as follows:
21 ft.
What are similar triangles?Similar triangles are triangles that share these two features presented as follows:
Congruent angle measures.Proportional side lengths.From the similar triangles, the proportional relationship to obtain the height of the tower is given as follows:
4/5 = 13/h
4h = 13 x 5
h = 13 x 5/4
h = 16.25.
Applying the Pythagorean Theorem, the length of the wire is given as follows:
l² = 16.25² + 13²
l = sqrt(16.25² + 13²)
l = 21 ft.
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Two vectors are linearly dependent if and only if they are collinear.
True/False
The given statement "Two vectors are linearly dependent if and only if they are collinear" is true because one is a scalar multiple of the other.
Two vectors are linearly dependent if and only if one of them is a scalar multiple of the other. This means that if you have two vectors, say v and w, then there exists a scalar c such that v = cw or w = cv.
If v and w are collinear, then they lie on the same line and one is a scalar multiple of the other. Specifically, if v = (a, b) and w = (c, d) are collinear, then there exists a scalar k such that v = kw, which means that a = kc and b = kd.
Conversely, if v and w are linearly dependent, then one is a scalar multiple of the other, which means that they lie on the same line and are collinear.
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