Answer:
Step-by-step explanation:
1 )
a) quotient of powers as dividing two powers with the same base, we subtract the exponents.
b) product of powers when you are multiplying two terms with the same base, you add their exponents
c) property of negative exponents. According to the rules of exponents, a negative exponent can be rewritten as the reciprocal of the base raised to the positive exponent.
2)
Yes, when raising a fraction to a power with parentheses, the same principles apply as when raising a fraction to a power without parentheses. When evaluating expressions with fractions and exponents, the order of operations, including parentheses, is followed. To re-write the expressions (1/3)^2 is = (1/9) and (1/3)^-2 is equal to 9 9*(1/9) is 1 which is the rule of the product of powers. then the same applies to the second expression
3)
[tex](-2.3^{2})^{6}[/tex] power to a power rule
[tex](\frac{1}{4}) ^{3}[/tex] power of a quotient
[tex]6^{4}[/tex] power to a power rule
[tex]7^{-1}[/tex] product of powers
ps: please grade me appropriately if you need more help with problems I am glad to help and these stars mean a lot to me. make sure you study your exponent laws and all the best!
A coin tossed what is the theoretical probability of the coin landing on heads
Answer: 50%
Step-by-step explanation: each side has a 1 in 2 chance of landing on it
Please answer question 1 and 2.
The answer for the given two figure is mBEC is 32° and mPR is 120°
What is tangent?A line that touches a circle only once is said to be tangent to it. A point to circle can only have one tangent. The intersection of the tangent and the circle is known as the point of tangency. Let's now demonstrate that the circle's tangent and radius are perpendicular to one another at their point of contact.
What is chord?The line segment connecting any two locations on a circle's circumference is referred to as the chord of the circle. It should be remembered that the diameter is the circle's longest chord that runs through its centre.
according to question,
In fig1 mBEC = mAEB - mDEC/2
mBEC = 94° - 30°/2
mBEC = 32°
In fig2 mPR = 180° - mPQR
= 180° - 60°
= 120°
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How many green apples would james have if he ate 1 red apple and 2 green apples out of the 50 green apples he had got.
Answer:
48
Step-by-step explanation:
50 (total green apples) - 2 (green apples eaten) = 48 (green apples left)
standard error of an estimator is not affected by the multiple choice question. population standard deviation. sample size. population size
The term that is not affected the standard error of an estimator is population size, from the provide data in options. So, option (c) is right one.
The standard error is a statistical term that used to measured the accuracy that a sample distribution represents a population by using standard deviation. The standard error(SE) is very similar to standard deviation of a distribution. Both are used to measure the spread of distribution. Higher the value SE, the more spread out your data is. In statistical way, standard error is also called standard error of mean, SEM, it represents the deviation of sample mean deviates from the actual mean of a population.
It is calculated simply by dividing the standard deviation by the square root of the sample size. That is [tex]SE = \frac{σ }{\sqrt{n}}[/tex]
where , n --> sample size
σ --> population standard deviations
Now, from the above formula it is clearly seen that standard error term or an estimator affected by sample size (n) and population standard deviations ( σ). So, right choice for answer is population size.
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Complete question:
standard error of an estimator is not affected by the multiple choice question.
a) population standard deviation
b) sample size
c) population size
Solve for the Social Security contribution if the percentage deduction is 8.5% for the income of $112, 000
Answer:$9,520.
Step-by-step explanation:
o solve for the Social Security contribution, you can use the following formula:Social Security contribution = (percentage deduction/100) x incomeSubstituting the given values:Social Security contribution = (8.5/100) x $112,000
= $9,520Therefore, the Social Security contribution for an income of $112,000 with a percentage deduction of 8.5% is $9,520.
44 friends evenly divided up an
�
n-slice pizza. One of the friends, Harris, ate
1
11 fewer slices than he received.
how many slices did he eat
The expression for the number of slices Harris ate is [tex](n/44) - 11.[/tex]
What is the expression for slices eaten?Let s be the number of slices each friend received.
Then the total number of slices on the pizza is n and we have: 44s = n because pizza was evenly divided among the 44 friends). Harris ate 11 fewer slices than he received, so he ate s - 11 slices.
The no of slices he received is s and we have:
s = (s - 11) + Harris's slices eaten
Substituting 44s = n, we will solve for s:
44s = n
s = n/44
So, the expression for the number of slices Harris ate is [tex](n/44) - 11.[/tex]
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Need Helppppp!!!!!!!!
Answer:
Answers below
Step-by-step explanation:
Answer for 10
6x3=18 --> 18×4=72
6x6=36 --> 36x2=72
72+72=144
144
Answer for 11
18x6=108 --> 108x2=216
20x6=120 --> 120x2=240
20x18=360 --> 360x2=720
216+240+720=1176
1176
Answer for 12
10x7=70 --> 70x2=140
20x7=140 --> 140x2=280
20x10=200 --> 200x2=400
140+280+400=820
820
Answer for 13
16x16=256 --> 256x4=1024
16x20=320 --> 320x2=640
1024+640=1664
1664
Sorry I forgot how to calculate triangles.
URGENT! Will give brainliest
The formula =C6*D6 would be found in which cell of this spreadsheet?
A. E6
B. E3
C.D3
D. B6
Answer:A. E6
Step-by-step explanation: Just did it :)
(Part 1 of 2) Please Help there is not much time left (Look at photo)
The average rate of change of each function on the interval 2 ≤ x ≤ 6 is given as follows:
f(x): -1.25.g(x): -0.715.How to obtain the average rate of change?The average rate of change of a function is given by the change in the output of the function divided by the change in the input of the function. Hence we must identify the change in the output, the change in the input, and then divide then to obtain the average rate of change.
For the function f(x), we have that:
When x = 2, y = 7.When x = 6, y = 2.Hence the rate is given as follows:
r = (2 - 7)/(6 - 2)
r = -5/4
r = -1.25.
For the function g(x), we have that:
When x = 2, y = 2(-5/7) - 6 = -7.43.When x = 6, y = 6(-5/7) - 6 = -10.29.Hence the rate is given as follows:
r = (-10.29 - (-7.43))/(6 - 2)
r = -0.715
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3. Given: Line segment PQ.
Construct: Circle with center Q and equilateral triangle NOP so that points N and O are on circle Q.
A circle with center Q and equilateral triangle NOP, where points N and O lie on the circle
What is a circle?
A circle is a two-dimensional shape with a perfectly round boundary that has no corners or edges. It is defined as the set of all points in a plane that are equidistant from a fixed point called the center. The distance from the center to any point on the boundary of the circle is called the radius.
The circumference of a circle is the distance around the boundary of the circle, and it is calculated as 2π times the radius. Circles are found in many natural and man-made objects, such as wheels, planets, and coins, and they have a wide range of applications in mathematics, science, and engineering.
To construct a circle with center Q and equilateral triangle NOP where points N and O lie on the circle, follow these steps:
Draw line segment PQ as the base of the equilateral triangle NOP.
Draw a perpendicular bisector of PQ, which intersects PQ at its midpoint, say M. This bisector will be the axis of symmetry of the equilateral triangle NOP.
With M as the center and MP (or MQ) as the radius, draw a circle that intersects PQ at two points, say X and Y.
Using Q as the center and QX (or QY) as the radius, draw two arcs that intersect the circle drawn in step 3 at two points, say N and O.
Draw the lines NQ and OQ to complete the equilateral triangle NOP.
Now, you have a circle with center Q and equilateral triangle NOP, where points N and O lie on the circle.
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simply the following expression below.
(5x^2 + 5x -6)
Answer: It is simplified the way it is it can not be simplified anymore. its a trick question
Step-by-step explanation:
What is the measure of Arc A U? 44° 50° 64° 92°
The measure of Arc AU is 50⁰. Hence, the correct option is B.
An "arc" in mathematics is a straight line that connects two endpoints. An arc is typically one of a circle's parts. In essence, it is a portion of a circle's circumference. A curve contains an arc.
arc QU = 88 and <QUA = 111
QDA = 2 <QUA
= 2 X 111
= 222⁰
Now, QUA = 360- 222 = 138
arc AU = QUA - arc QU
= 138- 58
= 50⁰
Hence, the measure of AU is 50⁰.
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-- The given question is incomplete, the complete question is attached below. --
Answer:
50⁰
Step-by-step explanation:
The measure of Arc AU is 50⁰. Hence, the correct option is B.
An "arc" in mathematics is a straight line that connects two endpoints. An arc is typically one of a circle's parts. In essence, it is a portion of a circle's circumference. A curve contains an arc.
Edge 2023
Maya weighed 15 packages. Their mean weight was 5 pounds. What was the total weight of the 15 packages?
Answer:
75lbs
Step-by-step explanation:
if the mean of the packages was 15 then all the items averaged to 5 pounds each meaning they had a total of 15*5 or 75lbs
A musician on tour exchanges American dollars for British pounds. The equation y = 1.25 x models the relationship between pounds ( x ) and dollars ( y ). Positive numbers represent bank deposits, and negative numbers represent bank withdrawals.
The y-intercept of 0 indicates that if the musician does not exchange any pounds, they will not receive any dollars.
What is the meaning of the slope and y-intercept in this context?In the given equation, y = 1.25x, the slope is 1.25, and the y-intercept is 0.
The slope represents the exchange rate between pounds and dollars. Specifically, it tells us that for every pound exchanged, the musician receives 1.25 dollars.
The y-intercept of 0 indicates that if the musician does not exchange any pounds, they will not receive any dollars.
Keep in mind that positive numbers in this context reflect bank deposits, whereas negative numbers represent bank withdrawals
. As a result, a positive value for y indicates money received, whereas a negative value for y indicates money taken out.
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PLEASE HELP!!!!! Select all the correct answers.
If you graph the system of inequalities given below, which points would lie in the solution set? Select all the correct answers.
x-y>-4
2x-y<5
2y + x>1
(-2,3)
(-1,3)
(0, 0)
(2,-2)
(3,5)
Answer:
To determine which points lie in the solution set of the system of inequalities x-y>-4, 2x-y<5, and 2y + x>1, we can graph the inequalities on a coordinate plane and look for the region that satisfies all three inequalities.
To graph the inequality x-y>-4, we can first graph the line x-y=-4 by plotting the points on the line:
x y
0 -4
-4 0
Then, we can shade the region above the line, since all points above the line will satisfy the inequality x-y>-4:
|
-4 | x
| /
| /
| /
|/
-8 +------
-4 0
To graph the inequality 2x-y<5, we can first graph the line 2x-y=5 by plotting the points on the line:
x y
0 5
2.5 0
Then, we can shade the region below the line, since all points below the line will satisfy the inequality 2x-y<5:
|
5 | x
| / |
| / |
| / |
|/ |
0 +----|--
0 2.5
To graph the inequality 2y + x>1, we can first graph the line 2y + x = 1 by plotting the points on the line:
x y
0 0.5
1 0
Then, we can shade the region above the line, since all points above the line will satisfy the inequality 2y + x>1:
|
2 | x
| |
1|-----
| /
| /
| /
|/
0 +------
0 1
The solution set of the system of inequalities is the region that satisfies all three inequalities, which is the shaded region in the graph below:
|
5 |
|
| x
2| |
| |
| |
| /|
| / |
0+------+------
-4 0 2.5
So the points that lie in the solution set are:
(-2,3), (-1,3), (2,-2)
Therefore, the correct answers are:
(-2,3), (-1,3), and (2,-2)
3. A composite figure is created using
rectangle and a semicircle. What is the area
of the figure?
12 in
18 in
A=r²
The area of the composite figure is 343.62 square inches.
What is a 3D composite shape's area?
Composite things that are three dimensional (3D) are created by joining two or more objects. Finding each object's outside surface area and adding the surface areas together will yield the surface area of a 3D composite object.
Area of rectangle = length x width = 12 x 18 = 216 sq in
As a result, the radius is equal to 9 inches, or half the diameter.
[tex]Area \ of\ semicircle = (1/2) * \pi * r^{2} \\\\Area \ of \ semicircle = (1/2) * 3.14 * 9^{2} \\\\Area \ of \ semicircle = 127.62\ sq\ in[/tex]
The combined area of the rectangle and the semicircle is therefore equal to the area of the composite figure as a whole:
Total area = 216 sq in + 127.62 sq in = 343.62 sq in
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Please help me I cannot do this (BUT it might be easy for u if ur an expert) B]
Answer:
a
Step-by-step explanation:
Answer:
The answer is B) -35.16 grams per half-life cycle
Which number produces an irational answer when added to 3?
A⅓
B. 1.732050807.
C. ,9
D. 0.78
Answer:
i think D if not then B
Step-by-step explanation:
PLEASE HELP FAST!!!!!
Lucy received a $1300 bonus. She decided to invest it in a 3-year certificate of deposit (CD) with an annual interest rate of 1.27% compounded monthly.
Answer the questions below. Do not round any intermediate computations, and round your final answers to the nearest cent. If necessary, refer to the list of financial formulas.
(a) Assuming no withdrawals are made, how much money is in Lucy's account after 3 years?
$____
(b) How much interest is earned on Lucy's investment after 3 Years?
$____
Answer:
(a) $1350.46
(b) $50.46
Step-by-step explanation:
You want to know the future value of a $1300 CD earning 1.27% compounded monthly for 3 years, along with the amount of interest earned.
Future valueThe compound interest formula tells you the future value is ...
FV = P(1 +r/12)^(12·t)
where r is the annual interest rate and t is the number of years.
ApplicationUsing the given values, we have ...
FV = $1300(1 +0.0127/12)^(12·3) ≈ $1350.46
(a) The value after 3 years is $1350.46.
The interest earned is the difference between the final value and the amount of the original investment:
Interest = $1350.46 - 1300.00 = $50.46
(b) The interest earned by the CD is $50.46.
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the dean's secretary receives an average of 3 calls per hour. assuming the poisson distribution applies, what is the probability that th secretary will receive 6 calls next hour?
The probability that the secretary will receive 6 calls next hour is approximately 0.090 or 9.0%.
The Poisson distribution is a probability distribution that describes the number of events occurring in a fixed time interval, given the average rate at which events occur and the independence of events. In this case, the average rate of calls is 3 calls per hour.
The probability of receiving exactly 6 calls next hour can be calculated using the Poisson probability formula:
[tex]P(X = 6) = (e^(-λ) * λ^6) / 6![/tex]
where λ is the average rate of calls, e is the base of the natural logarithm, and 6! is the factorial of 6.
Substituting the values, we get:
[tex]P(X = 6) = (e^(-3) * 3^6) / 6! ≈ 0.090[/tex]
Therefore, the probability that the secretary will receive 6 calls next hour is approximately 0.090 or 9.0%.l
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The probability that the secretary will receive 6 calls next hour is approximately 0.0504, or 5.04%
To calculate the probability that the secretary will receive 6 calls next hour, given that the average is 3 calls per hour
and the Poisson distribution applies, follow these steps:
Identify the given information: λ (average calls per hour) = 3, k (number of calls to calculate the probability for) = 6.
Use the Poisson probability formula:
P(k) =[tex](e^{(-\lambda)} \times\lambda^k) / k!,[/tex]
where P(k) is the probability of k calls,
e is the base of the natural logarithm (approximately 2.71828),
λ is the average rate (3 calls per hour), and
k! is the factorial of k (6 in this case).
Calculate [tex]e^{(-\lambda)}: e^{(-3)} = 0.04979.[/tex]
Calculate [tex]\lambda^k: 3^6 = 729.[/tex]
Calculate k!: 6! = 6 × 5 × 4 × 3 × 2 × 1 = 720.
Substitute these values into the formula: P(6) = (0.04979 × 729) / 720 ≈ 0.0504.
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What is 2^6*2^5 is other exponent?
Answer:
below
Step-by-step explanation:
Yes, there is another exponent.
When you are multiplying exponents, you add the exponents.
So from the equation 2^6 x 2^5, you can keep the 2 the same, as this is the base:
2^11
and add the exponents (6+5)
To check:
2^6=64
2^5=32
64x32=2048
2^11=2048
So, 2^11 is equivalent to your equation. Hope this helps ;)
Historically, your company has calculated bad debts using an aging of accounts receivable. Near the end of the fiscal year, the company is in a cash crunch and needs to borrow money from the bank, using accounts receivable as collateral. The owner of the company knows that many of the accounts receivable are more than 90 days past due, resulting in net receivables equal to only 80% of total receivables. Respond to the following in a minimum of 175 words: The owner asks you to change the method of estimating bad debts to a flat 3% of receivables. What should you do?
If owner asks you to change the method of estimating bad debts to a flat 3% of receivables, then you should carefully "evaluate request to change method of estimating bad-debts", "use prudent and analytical approach" and to communicate effectively with stake-holders.
As a "financial-advisor" for company, it is important to consider request of owner to change method of estimating "bad-debts" to a flat 3% of receivables, given the circumstances described.
(i) It is crucial to understand the reasons behind change in method of estimating bad debts.
In this case, the company is facing a "cash-crunch" and needs to borrow money from the bank, using accounts receivable as collateral.
The owner is aware that many of "accounts-receivable" are more than 90 days past-due, which results in net receivables equal to only 80% of total receivables,
It indicates that company is experiencing a higher level of delinquency in its accounts receivable, and the owner may be seeking a more conservative estimate of bad debts to reflect this situation.
(ii) A more prudent approach would be to conduct a thorough analysis of the company's accounts receivable, considering factors such as the aging of accounts, historical collection patterns, industry norms, economic conditions, and creditworthiness of customers.
This help in developing a more accurate and reliable estimate of bad debts that aligns with the company's specific circumstances.
(iii) it is important to communicate-effectively with owner and other relevant stakeholders, explaining reasons behind recommended method of estimating bad debts and the potential implications of using a flat percentage.
This can help in building transparency, trust, and confidence in the financial reporting process and decision-making of the company.
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the sides of a triangle have lengths 7.5, 11, and x. if x is an integer, what is the least possible value of x ? 1
In the given triangle the least possible value of x is 4.
What is triangle?
In Geometry, a triangle is a three-sided polygon which consists of three edges, three sides and three vertices. One of the property of a triangle is that the sum of the internal angles of a triangle is equal to 180° or two right angle.
By the property of triangle the third side of the triangle should more than the difference of the other two sides and less than the sum of the another two sides.
The sides of a triangle have lengths 7.5, 11, and x.
So the inequality will be,
11- 7.5 < x < 7.5+11
3.5 < x < 18.5
As x is an integer and a integer number which is least with the criteria that it must be greater than 3.5 so it must be 4.
Hence, the value of x is 4.
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which linear graph represents a proportional relationship?
Use the net as an aid to compute the surface area (rounded to the nearest integer) of the triangular pyramid with an equilateral triangle base.
The surface area of the triangular pyramid in the image given is calculated as: C. 323 square inches.
How to Find the Surface Area of a Triangular Pyramid Using its Net?To find the surface area of the triangular pyramid, find the area of each face and the base as shown in the net given and add all together.
Area of the three triangular faces = 3(1/2 * base * height)
= 3(1/2 * 15 * 10)
= 3(75)
= 225 square inches
Area of the triangular base = 1/2 * base * height
= 1/2 * 15 * 13
= 97.5 square inches
The surface area = 225 + 97.5 = 322.5
≈ 323 square inches.
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A random sample of 100 people was taken. Eighty-five of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 80%.
(1). The test statistic is
0.80
0.05
1.25
2.00
By z-test the test static is 1.25.
What is z-test?
It is a statistical test to determine whether two population means are different at the time when the variances are known and the sample size is large. Also it is a hypothesis test in which the z-statistic maintains a normal distribution.
A random sample of 100 people was taken. Eighty-five of the people in the sample favored Candidate A. We are interested in determining whether or not the proportion of the population in favor of Candidate A is significantly more than 80%.
So from the given information we have,
sample size (n)= 100
sample proportion ( p₁) = 0.85 [ 85 of the people in the sample favored candidate A]
So, the null hypothesis ,
H₀ : p = 0.80
The alternative hypothesis ,
Hₐ : p > 0.80
Now the test static can be determined by the formula of z-test
[tex]z= \frac{p_{1} - p }{\sqrt{\frac{p(1-p)}{n} } }[/tex]
[tex]z= \frac{0.85 - 0.80 }{\sqrt{\frac{0.80(1-0.80)}{100} } }[/tex]
[tex]z= \frac{0.05}{\sqrt{\frac{0.16}{100} } }[/tex]
z = (0.05× 10)/0.4
z= 1.25
Hence , by z-test the test static is 1.25.
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Rihanna worked for 3 hours 35 minutes
on Monday. She worked for 2 hours
50 minutes on Wednesday. She wants
to work enough hours on Friday so she
works a total of 8 hours. How much
longer does she need to work?
Answer:
1 hour and 35 minutes
Step-by-step explanation:
3 hours and 35 minutes + 2 hours and 50 minutes = 6 hours and 25 minutes.
8 hours - 6 hours and 25 minutes = 1 hour and 35 minutes
imagine that you are offered two jobs. there is a 50% chance that you will take the first job and a 40% chance that you will take the second job. assume that you cannot take both jobs. what is the probability that you will take either one job or the other job?
Answer:
The probability of taking either one job or the other job can be calculated by adding the probabilities of taking the first job and taking the second job, and then subtracting the probability of taking both jobs (since we cannot take both).
Let A be the event of taking the first job, and B be the event of taking the second job. Then, the probability of taking the first job is P(A) = 0.5, and the probability of taking the second job is P(B) = 0.4. The probability of taking both jobs is zero, since we cannot take both.
Therefore, the probability of taking either one job or the other job is:
P(A or B) = P(A) + P(B) - P(A and B)
= 0.5 + 0.4 - 0
= 0.9
So the probability of taking either one job or the other job is 0.9 or 90%
8-4: MathXL for School: Practice & Problem Solving
The correct expressions that give the new acreage are A and C.
A. 0.89y represents the remaining 89% of the original acreage after the sale.
C. y-0.11y represents the original acreage minus the 11% that was sold.
How to explain the expressionIt should be noted that to find the new acreage using the first expression (A), we can simply multiply the original acreage by 0.89:
New acreage = 0.89y
To find the new acreage using the second expression (C), we can subtract 0.11 times the original acreage from the original acreage:
New acreage = y - 0.11y
New acreage = 0.89y
Both expressions give the same result, which is the new acreage after the sale.
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A farmer recently sold a large plot of land. The sale decreased his total acreage by 11%. Let y be the original acreage. Find two equivalent expressions that will give the new acreage. Use pencil and paper. Use the expressions to describe two ways to find the new acreage.
Which two expressions will give the new acreage?
A. 0.89y
OB. 0.11y
C. y-0.11y
D. 11y
OE. y-11y
OF. 0.89y-0.11y
Celine is training to run a marathon. During her training, she kept track of how much time
she spent running on the treadmill inside and on a trail outside each week. These box plots
show the results.
Where was there more variation in the amount of time Celine spent running?
Answer:
There was more variation in her time spent running outside.
Step-by-step explanation:
This is because the range for running outside is larger.
To find range you subtract the largest number in the data by the smallest.
RANGE FOR INSIDE: 150 - 25 = 125
RANGE FOR OUTSIDE: 200 - 50 = 150
Since the range is larger for the time outside spent running, there is more variation.