Answer:
The coordinates of B are: (a, b)=(-2, -6)
Step-by-step explanation:
Let (a, b) be the coordinates of the point 'B'.
As
The midpoint of AB is M(-4, 0)
The coordinates of A are (-6, 6)
The midpoint (x,y) of line joining points (x₁, x₂) and (y₁, y₂)
\(x=\frac{x_1+x_2}{2},\:y=\frac{y_1+y_2}{2}\)
-4 = (-6+a)/2 and 0 = (6+b)/2
-8=-6+a
-8+6=a
a=-2
0=(6+b)/2
0=6+b
b=-6
Therefore, the coordinates of B are: (a, b)=(-2, -6)
30 is divided by the sum of 3 and x if the result is 5 find x
Answer: x = 3
Step-by-step explanation: 3 + 3 = 6 ; 30 divided by 6 = 5.
Answer:
x = 3
Step-by-step explanation:
\(\frac{30}{3+x}\) = 5 ( models the statement )
multiply both sides by 3 + x
30 = 5(3 + x)
30 = 15 + 5x ( subtract 15 from both sides )
15 = 5x ( divide both sides by 5 )
3 = x
Ifwe take the following list of functions f1,f2,f},f4, and f5. Arrange them in ascending order of growth rate. That is, if function g(n) immediately follows function f(n) in your list, then it should be the case that f(n) is O(g(n)). 1) f1(n)=10n 2)f2(n)=n1/3 3) 73(n)=nn 4) f4(n)=log2n 5)(5(n)=2log2n
Arranging the given functions in ascending order of growth rate, we have:
f4(n) = log2(n)
f5(n) = 2log2(n)
f2(n) = n^(1/3)
f1(n) = 10n
f3(n) = n^n
The function f4(n) = log2(n) has the slowest growth rate among the given functions. It grows logarithmically, which is slower than any polynomial or exponential growth.
Next, we have f5(n) = 2log2(n). Although it is a logarithmic function, the coefficient 2 speeds up its growth slightly compared to f4(n).
Then, we have f2(n) = n^(1/3), which is a power function with a fractional exponent. It grows slower than linear functions but faster than logarithmic functions.
Next, we have f1(n) = 10n, which is a linear function. It grows at a constant rate, with the growth rate directly proportional to n.
Finally, we have f3(n) = n^n, which has the fastest growth rate among the given functions. It grows exponentially, with the growth rate increasing rapidly as n increases.
Therefore, the arranged list in ascending order of growth rate is: f4(n), f5(n), f2(n), f1(n), f3(n).
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Write the equation of a line that passes through (3,21) and has a slope of 3
Answer:
y = 3x + 12
Step-by-step explanation:
so the point slope form of an equation is is y minus y1 = M (x - X1) where why one equals the first point Y value and X1 is the first point x value and M equals the slope . if you substitute your question into this equation you will you will get y - 21 = 3 ( x - 3).
if you want to be fancy haha you can put this into the linear equation form y = mx + b so then you can add 21 to the other side to get y=3(x-3)+21. after that you foil and get y equals 3x - 9 + 21 . simplify and you get why equals 3x + 12
find the zeros for 2x^2-24=26. what id the positive value of x?
Answer:
x=5
Step-by-step explanation:
move the constant to the right
calculate
devide both sides
simplify the equation
seperate the solution
(x=5)
Calculate the expected value of the scenario.xP(x;)- $1.250.1- $0.250.4$00.2$1.250.3 (Expected value = $ “ANSWER”)
The Expected Value of a Discrete Probability Distribution
Given a number of events:
x = {x1, x2, x3,..., xn}
And their respective probabilities:
P = {p1, p2, p3,..., pn}
The expected value is calculated as follows:
\(Ex=\sum ^{i=n}_{i=1}x_i\cdot p_i\)We are given:
x = {-1.25, -0.25, 0, 1.25}
P = {0.1, 0.4, 0.2, 0.3}
Substituting:
\(Ex=(-1.25)\cdot0.1+(-0.25)\cdot0.4+(0)\cdot0.2+(1.25)\cdot0.3\)Calculating:
\(\begin{gathered} Ex=-0.125-0.1+0+0.375 \\ Ex=0.15 \end{gathered}\)The expected value is $0.15
If you made $300 one week and had a total of $75 worth of deductions, how much did you actually take home?
Answer:
$225
Step-by-step explanation:
Please help I’ll give brainliest
Answer:
3rd option
Step-by-step explanation:
Calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (0, 7) and (x₂, y₂ ) = (4, 4)
m = \(\frac{4-7}{4-0}\) = \(\frac{-3}{4}\) = - \(\frac{3}{4}\)
That is a negative slope, indicating the line slopes down from left to right
Answer:
C -3/4 &Negative slope
Step-by-step explanation:
it's negative because the line goes down to the left and it -3/4 because the distance between the points is down 3, over 4 to get to the next point
I need help with this word problem please help
you will need 7 cups of sugar. 35 divided by 5 is 7.
Answer: You will need 7 cups of sugar.
Step-by-step explanation:
For every 5 eggs, you add one cup of sugar. 35 eggs divided by 5 eggs = 7 cups of sugar.
Please help me with this one ☝️
A puppy weighed 2kg.
Eight weeks later the puppy weighed 3.5kg
What was the percentage increase in the puppy's weight?
Answer:
\(3.5 - 2 \times 100 \div 2\)
Answer:
The percentage increase in the puppy's weight is 75%.
Step-by-step explanation:
We can find the percentage increase using the following formula:
\(\boxed{\% \space\ \mathrm {increase = \frac{final \space\ - \space\ initial}{initial} \times 100}}\).
In this case,
• initial = 2 kg
• final = 3.5 kg
Substituting these values into the formula:
\({\% \space\ \mathrm {increase = \frac{3.5 \space\ - \space\ 2}{2} \times 100}}\)
⇒ \(\frac{1.5}{2} \times 100\)
⇒ \(0.75 \times 100\)
⇒ 75%
Find the value of c x 8 when c=9.
Answer:
72 hope it helps............
Answer:
72
is you answer because 8×9=72
Assume that cane normally produces and sells 55,000 betas per year. what is the financial advantage (disadvantage) of discontinuing the beta product line?
To determine the financial advantage or disadvantage of discontinuing the beta product line, more information would be needed regarding the costs and revenues associated with the beta product. Without specific data on costs and revenues, an exact financial advantage or disadvantage can nor be determined.
To determine the financial impact, you would typically compare the revenues generated by the beta product line with the costs associated with producing and selling it. Here are some key considerations:
Revenues: Calculate the total revenue generated by selling 55,000 betas per year. This would require knowing the selling price of each beta unit and multiplying it by the quantity sold.
Costs: Determine the various costs associated with the beta product line, which may include production costs, labor costs, marketing expenses, distribution costs, and any other costs specific to the production and sale of betas. Add up these costs to obtain the total cost of producing and selling 55,000 betas per year.
Compare Revenues and Costs: Subtract the total costs from the total revenues to obtain the net profit (or loss) associated with the beta product line. This calculation will help you understand the financial advantage or disadvantage of continuing the product line.
If the net profit is positive, discontinuing the beta product line would result in a financial disadvantage, as it would eliminate a source of profit. On the other hand, if the net profit is negative, discontinuing the beta product line could lead to a financial advantage by reducing losses.
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What is the prime factorization of 50? (Please Explain)
Answer:
So, the prime factors of 50 are 2 × 5 × 5 or 2 × 52, where 2 and 5 are the prime numbers.
Answer:
The prime factorization of 50 is \(2 * 5^{2} \)
Step-by-step explanation:
The prime numbers of 50 are 2 and 5 So, 2 x 5 x 5 = 2 x 25 = 50\(2 * 5^{2}\) = 50Question 6 of 10
danielle invests $50 a month in an annuity that earns 4% apr and is
compounded monthly. what is the future value of danielle's account in 3
years?
a. $2082.39
b. $2153.85
c. $1843.29
o d. $1909.06
submit
Danielle invests $50 a month in an annuity that earns 4% APR compounded monthly. The future value of Danielle's account in 3 years is $1909.06.
Danielle invests $50 a month in an annuity that earns 4% APR compounded monthly. We have to determine the future value of Danielle's account in 3 years.
An annuity is a sequence of regular payments or investments. It may be used for saving money, obtaining a loan, or providing an income.
Danielle invests $50 per month in an annuity earning 4% APR compounded monthly. We can use the formula to calculate the future value of the annuity:
FV = PMT [(1 + i)^n - 1] / i
where FV = Future value, PMT = Periodic payment, i = Interest rate per period, and n = Number of periods.
When we substitute the given values in the above formula, we get:
FV = $50 [(1 + 0.04 / 12)^(3*12) - 1] / (0.04 / 12) = $1909.06.
Hence, the future value of Danielle's account in 3 years is $1909.06.
So, option (d) is correct.
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Write −0.48 as a fraction in simplest form.
−0.48=
I would also like an explanation too please! HELP ASAP :(
Answer:
-12/25
Step-by-step explanation: We already know that -48/100=-0.48, so we can just write -48/100 in simplest form which is -0.48. So, your answer is -0.48
Mr. Lamar coaches the golf team at Conrad middle school. The team has 18 sixth grade members, 13 seventh grade members and 10 eight grade members. What percent of the golf team members are sixth graders
Solve the system of equations 5x - y = -9 and 3x + 4y = 13 by combining the
equations.
Answer:
2+2 =22. ♀️ ................
What happens to the opposite and adjacent sides when theta is moved from one acute angle to the other?
Answer:
the opposite and adjacent sides should switch places if theta is moved. the hypotenuse will always stay the same.
of the respondents, 517 support same-sex marriage. what is the 95 % confidence interval for the proportion of all american adults who support same-sex marriage?
The 95% confidence interval for the proportion of all American adults who support same-sex marriage is 0.485 to 0.549.
The following formula is used to calculate a confidence interval for the proportion of all American adults who support same-sex marriage
KI = p ± z*(√(p*(1-p)/n))
where:
p = percentage of respondents who support same-sex marriage
n = sample size (total number of respondents)
z = z-score for the desired confidence level
substitute all the values in the above formula,
CI = 0.517 ± 1.96*(√(0.517*(1-0.517)/n))
To compute confidence intervals, we need to know the sample size (n). the sample size is large, so we can use the normal distribution.
the random sample size of 1000 is taken as no sample size is specified.
For n = 1000,
CI = 0.517 ± 1.96*(√(0.517*(1-0.517)/1000))
= 0.517 ± 0.032
Therefore, the 95% confidence interval for the proportion of all American adults who support same-sex marriage is 0.485 to 0.549.
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Mike is hiking on a mountain and stops 105.3 feet above sea level. The base of the mountain is 3.8 feet below sea level. What is the vertical distance between Mike and the base of the mountain?
Mike comes to a stop 105.3 feet above sea level while trekking on a mountain. The vertical separation between Mike and the mountain's base is 101.5 feet .
Given that,
Mike comes to a stop 105.3 feet above sea level while trekking on a mountain. There are 3.8 feet of sea level below the mountain's base.
We have to find what is the vertical separation between Mike and the mountain's base.
The Mike comes to a stop 105.3 feet above sea level while trekking on a mountain.
3.8 feet of sea level below the mountain's base.
We just have to do the difference of the above sea level feet and below sea level feet.
=105.3-3.8
=101.5
Therefore, the vertical separation between Mike and the mountain's base is 101.5 feet .
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How many sides does a rectangular pyramid
Answer:
Step-by-step explanation:
A rectangular pyramid has five sides. It consists of a rectangular base and four triangular faces that meet at a common vertex or apex.
≧◉◡◉≦
In the state of North Carolina, the mean SAT Math score is 535 with a standard deviation of 95 points. Savannah,
who lives in North Carolina, just received her SAT results and she was in the 93rd percentile for the math portion of
the SAT. What was her score, assuming SAT Math scores are approximately Normally distributed? Use a graphing
calculator to find the answer.
550
O 585
O 615
640
675
Answer:
675
Step-by-step explanation:
I NEED HELP ASAP THIS IS DUE IN AN HOUR ILL MARK U BRAILY !?!?
Answer:
12 units
Step-by-step explanation:
It's the same shape, just moved around, so the area lengths should be the same.
Answer:
12 units
the length from c to b is 2 units
meanwhile the lenght from c to d is 6
so thr final answer is 2 times by 6 which is 12
Does the set or ordered Paris represent a function {(-2,3), (1,3), (0,2), (1,4), (5,5)
Answer:
Not a function
Step-by-step explanation:
The set of ordered pairs is not a function because of (1,3) and (1,4). There must be a unique input for every output, and x=1 violates this rule because it belongs to more than one output, which are y=3 and y=4.
Question and answer options attached. Please help, thanks!
Answer:
there is no question but i think out of a,b,c and e i think b or c
Step-by-step explanation:
sorry
1+4(2x-3)-x math 2 question test is on canvas
The one sample chi-square is used to determine whether the distribution of a single categorical variable is significantly different from that which would be expected by chance.
True or False
The one-sample chi-square test is used to determine whether the distribution of a single categorical variable significantly differs from what would be expected by chance. The statement is True.
The one-sample chi-square test is a statistical test used to determine if there is a significant difference between the observed frequency and the expected frequency in a single categorical variable. It compares the observed frequency distribution of a variable to the expected frequency distribution, assuming that the null hypothesis is true.
This test compares observed frequencies to expected frequencies and calculates a chi-square statistic to assess the significance of the difference.
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The equation 2x2+2y2−8x−12y+16=0 2 x 2 + 2 y 2 − 8 x − 12 y + 16 = 0 defines a circle. Which of these shows a correct step for determining the center and radius of this circle? Choose all that are correct.
(2x2−8x+16)+(2y2−12y+36)=−16+36
(
2
x
2
−
8
x
+
16
)
+
(
2
y
2
−
12
y
+
36
)
=
−
16
+
36
(x−4)2+(y−9)2=5
(
x
−
4
)
2
+
(
y
−
9
)
2
=
5
(x2−4x+4)+(y2−6y+9)=−8+13
(
x
2
−
4
x
+
4
)
+
(
y
2
−
6
y
+
9
)
=
−
8
+
13
x2+y2−4x−6y=−16
x
2
+
y
2
−
4
x
−
6
y
=
−
16
(x−2)2+(y−3)2=5
what do i choose? because all i see is a lot of numbers and words lol
In 2008, there were 21 states with 10 or more electoral votes, as shown in the table above. Based on the table, what was the median number of electoral votes for the 21 states?
Answer:
A 13
Step-by-step explanation:
Add all the electoral votes together (266)
266 / 21 = 12.666 ~ 13
The median number of given electoral votes is equal to 15, as it is the value at the 5th position in the ordered data set.
To find the median number of electoral votes for the 21 states,
first need to arrange the data in ascending order:
Electoral votes: 10, 11, 12, 13, 15, 17, 20, 21, 27, 31, 34, 55
Frequency: 4, 4, 1, 1, 3, 1, 1, 2, 1, 1, 1, 1
Next, need to calculate the cumulative frequency (CF) by adding up the frequencies from the lowest electoral vote to the highest:
Cumulative frequency: 4, 8, 9, 10, 13, 14, 15, 17, 18, 19, 20, 21
The median is the middle value of the data set when it is arranged in ascending order.
Since we have 21 states, which is an odd number, the median will be the value at the 11th position (or 11/2 = 5.5th position).
To find the median, we look for the value at the 5th position (11/2 = 5.5):
Electoral votes: 10, 11, 12, 13, 15, 17, 20, 21, 27, 31, 34, 55
Position: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12
Therefore, the median number of electoral votes is 15.
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Last year, Marshall withdrew $8,000 from his RRSP under the Lifelong Learning Program to fund a one-year program at a community college. This year, he worked full-time but, he would like to pursue a university degree beginning next year. Marshall is wondering whether he can participate in the LLP again next year. What statement is true?
a) Provided he repays his LLP balance in full by the end of this year, Marshall can participate in the LLP again next year.
b) Marshall can only participate in the LLP once over his lifetime. However, his wife can make a LLP withdrawal from her RRSP on his behalf.
c) He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000.
d) He can only participate in the LLP a second time if he repays his LLP balance in full and waits 5 years before he returns to school.
Marshall is wondering whether he can participate in the LLP again next year. The statement that is true is "He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000.
The Lifelong Learning Plan is a program that helps Canadian residents finance their post-secondary education through their registered retirement savings plans (RRSP). If an individual is attending school full-time, they can withdraw up to $10,000 a year from their RRSP under the program, or up to $20,000 in total. There are certain rules that must be followed by an individual participating in the LLP. For example, withdrawals must be made within four years of enrolling in an eligible educational program, and repayments must begin within the same period.
Here are the statements: Provided he repays his LLP balance in full by the end of this year, Marshall can participate in the LLP again next year.Marshall can only participate in the LLP once over his lifetime. However, his wife can make a LLP withdrawal from her RRSP on his behalf. He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000. He can only participate in the LLP a second time if he repays his LLP balance in full and waits 5 years before he returns to school.The correct statement is: He can participate in the LLP again, but only to the extent that his existing LLP balance is less than $20,000.
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