What is “2 1/2 x 3 1/3”
Answer:
The answer is 8.3 bar notation.
Step-by-step explanation:
2 1/2 into improper is 5/2
3 1/3 into improper is 10/3
Now Multiply
5/2 x 10/3 is 300/36
Now Reduce.
25/3 = 8.3 bar notation
Mark Brainliest!
Answer:
25/3 or 8 1/3
Step-by-step explanation:
To find this solution, we first need to change the mixed numbers into improper fractions so we can solve correctly!
2 1/2 as a improper fraction is 5/2 and 3 1/3 as a improper fraction is 10/3
Now we can directly multiply
Multiply the two numerators together which will get us to 50
Multiply the two denominators together which will get us to 6
Now our fraction is 50/6
But… we can simplify this!
Divide 50 by 2 and 6 by 2 to reduce the fraction
This will get us to our final answer of…
25/3 or 8 1/3
Hope this helps, and please award brainliest if possible!
please help! ROUNDING TO THE NEAREST TEN THOUSANDTH!!
Chelsea Fashions is expected to pay an annual dividend of \( \$ 1.10 \) a share next year. The market price of the stock is \( \$ 21.80 \) and the growth rate is \( 4.5 \% \). What is the firm's cost
The cost of equity for Chelsea Fashions is approximately 9.86%. This is calculated using the dividend discount model, taking into account the expected dividend, the stock price, and the growth rate.
The cost of equity for Chelsea Fashions can be determined using the dividend discount model (DDM). The DDM formula is as follows: Cost of Equity = Dividend / Stock Price + Growth Rate.
Given that the expected dividend is $1.10 and the market price of the stock is $21.80, we can substitute these values into the formula: Cost of Equity = $1.10 / $21.80 + 4.5%.
First, we divide $1.10 by $21.80 to get 0.0505 (rounded to four decimal places). Then, we add the growth rate of 4.5% (expressed as a decimal, 0.045). Finally, we sum these values: Cost of Equity = 0.0505 + 0.045 = 0.0955.
Converting this decimal to a percentage, we find that the cost of equity for Chelsea Fashions is approximately 9.55%. Therefore, the firm's cost of equity is approximately 9.86% when rounded to two decimal places.
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in an election debate, two candidates for governor are debating about whether to raise the general sales tax from 5 to 7 percent. candidate a argues that this would increase tax revenues, enabling the state to maintain essential services. candidate b argues that the tax would hurt retailers and consumers, slowing down the economy so much that it would decrease tax revenues too. what assumptions must the candidates be making in order to justify their position?
in an election debate, two candidates for governor are debating about whether to raise the general sales tax from 5 to 7 percent, so candidate a assumes that the price effect would be larger than the quantity effect.
What is general sales tax?When a tax is added on a good or service at the point of sale and is financed by the client, it is known as general sales tax. The store is then obligated to transmit, or remit, the tax to the government.
Candidate a contends that revenue will rise along with the sales tax as it rises from 5 to 7 percent. This suggests that the price impact is greater than the quantity effect since, when the tax is raised, the price would rise and the quantity would fall. As a result, the tax revenue would only rise if the price effect is more than the quantity effect.
Additionally, Candidate b claims that the tax will harm consumers and merchants, slow the economy, and reduce tax revenue. However, this claim can only be supported if the quantity effect outweighs the price effect.
Candidate a assumes that the price effect would be larger than the quantity effect.
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If f(x) = 2x - 4, find f(3)
Answer:
f(3) = 2
Step-by-step explanation:
f(x) = 2x - 4 when f(3). In other words substitute x with 3 to solve.
f(3) = 2(3) - 4
f(3) = 6 - 4
f(3) = 2
Best of Luck!
There are 75 kids at camp. After 21 kids go swimming, a counselor separated the remaining kids into 6 teams so that each team had k kids. In the tape diagram, k represents the number of kids that the counselor put into each of the 6 teams. What is the value of k?
Multiply. Express your answer in simplest form.
1
5
х
8
6
Answer:
1300
Step-by-step explanation:
Actual answer: 1290
Which of the following is the explicit rule for a geometric sequence defined by
a recursive formula of…
A. an = 13.7041
OB. a, = 13.70-1
O C. a, = 7.13+1
O D. an = 7.130-1
Answer:
D
Step-by-step explanation:
Always apply the formula a_n=ar^(n-1) in this type of questions, since you know that the first term, a is 7 and the common ratio, r is 13. Therefore you can substitute a = 7 and r = 13 into the equation which equals to a_n=7×13^(n-1)
The explicit rule for a geometric sequence defined by,
a(n) = 7 × 13ⁿ⁻¹
We have to given that,
a (n) = 13 a (n - 1)
Now, We can simplify as,
a (n) / a (n - 1) = 13
a (n) = 13 a (n - 1)
Since, We know that,
a(n) = a × rⁿ⁻¹
Here, a = 7
a(n) = 7 × 13ⁿ⁻¹
Hence, Option c is true.
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Sally wants to buy a bicycle that costs $285. She checks at several stores and online to
find the best deal. Which of the following offers gives the lowest price for the bicycle?
F A 5% discount, and a coupon for $10 off the discounted price.
G A discount of 15% off the regular price
H A sale price of $245
J Two coupons, one for $10 off and the other for $15 off the regular price
Answer:
G discount of 15% off the regular price $208.25
Step-by-step explanation:
Answer:
G. A discount of 15% off the regular price
Step-by-step explanation:
i did this question yesterday, so i hope this helps!
The function y = (x + 4)4 is a transformation of the graph of the parent function y = x4. How is the zero of the parent function affected by the transformation?
A The zero of the function is shifted 4 units to the right.
B The zero of the function is shifted 4 units down.
C The zero of the function is shifted 4 units to the left.
D The zero of the function is shifted 4 units up.
The correct answer is option C which is The zero of the function is shifted 4 units to the left.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and independent variable.
When we plot the functions on the graph we can see that the vertex of the parabola is shifted from the ( 0,0 ) to ( 4,0 ).
Therefore the correct answer is option C which is . The zero of the function is shifted 4 units to the left.
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x^2 - 3x - 28 factor compleatly
Answer:
Step-by-step explanation:
x² - 3x - 28
What factors multiply to -28 and add to -3?
-7 and 4.
(x - 7) (x + 4)
Answer:
(x - 7)(x + 4)
Step-by-step explanation:
To find the factors, you just need to ask yourself the question: Which two numbers multiply to -28 but add to -3?
Simple guess-and-check will lead you to the numbers -7 and 4.
-7 x 4 = -28
-7 + 4 = -3
These numbers will make up the factored equation.
x² - 3x - 28
(x - 7)(x + 4)
You can check your answer by re-expanding the factored expression. This is done by multiplying each term in the first parentheses by each term in the second parentheses.
(x - 7)(x + 4) ----> x² - 7x + 4x - 28 ----> x² - 3x - 28
Find the volume of the rectangular prism.
Answer:
1.5 × 4.5 × 6 = 40.5 cubic meters
What is the scale factor from Figure AAA to Figure BBB? please 3
Answer:
1:3
Step-by-step explanation:
9:3=3
3.6:1.2=3
A is 3 times greater than B. It means that the scale factor from A to B is 1:3
Evaluate 16-[2x(5+1)
Answer:
The answer is 28
Step-by-step explanation:
5+1=6 ×2 =12 +16=28
please help i’ll mark brainliest
Answer:
b
Step-by-step explanation:
its a straigt line thats what linear means (line)
ASAP HELP
Find the variance and standard deviation of the data set below:
0 0.107
1 0.352
2 0.400
3 0.141
If the standard deviation of a set of data is 6, then the value of variance is 36
The formula for determining variance is variance = √Standard deviation
Variance of a set of data is equal to square of the standard deviation.
If the standard deviation of a set of data is 6 then we get variance by putting the value of standard deviation in the formula
variance = √Standard deviation
Take square root on both sides
Standard deviation² = 6²
Standard deviation= 36
Hence, standard deviation of a set of data is 6, then the value of variance is 36
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Which quadrant is each ordered pair in?
1. (-3,1)
2. (-9,-4)
3. (10,5)
4. (6, -7)
Answer:
(-3‚1) lies in second quadrant.
The diameter of a circular pizza is 24 in. How much pizza is eaten (in square inches) if half of it is consumed? (Pie and л... hmmmm...interesting...)
Using the formula of area of a circle, about 226.08in² has been eaten
How much pizza is eaten?The diameter of the pizza is given as 24 inches. To calculate the area of the entire pizza, we need to use the formula for the area of a circle:
Area = π * r²
where π is approximately 3.14 and r is the radius of the circle.
Given that the diameter is 24 inches, the radius (r) would be half of the diameter, which is 12 inches.
Let's calculate the area of the entire pizza first:
Area = 3.14 * 12²
Area = 3.14 * 144
Area ≈ 452.16 square inches
Now, if half of the pizza is consumed, we need to calculate the area of half of the pizza. To do that, we divide the area of the entire pizza by 2:
Area of half of the pizza = 452.16 / 2
Area of half of the pizza ≈ 226.08 square inches
Therefore, if half of the pizza is consumed, approximately 226.08 square inches of pizza would be eaten.
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Solve the system of linear equations, 2x=y+2 and -x+3y=14
Answer: x = 4, y = 6
Step-by-step explanation:
2x = y + 2 (1)
-x + 3y = 14 (2)
From (2):
x - 3y = -14
x = 3y - 14
Plug it into (1):
2(3y - 14) = y + 2
6y - 28 = y + 2
5y = 30
y = 6
Plug it back in again:
x = 3(6) - 14
x = 18 - 14
x = 4
Deandre is on his way home in his car. He has driven 18 miles so far, which is one-third of the way home. What is the total length of his drive?
Answer:
54
Step-by-step explanation:
18x3=54
1/3x54=18
Answer:
36 + 18 = 54 miles or 18*3 = 54 miles
Step-by-step explanation:
If 18 miles is 1/3 of the road then there are 2/3 of the road left. 2/3 is twice as big as 1/3, And so what is left is
18*2= 36 miles left.
The total length of his drive is 36 miles +18 miles = 54 miles
2. Mandy is walking in the woods. She completes 70% of her walk in 3 hours. She continues walking at that same rate. How much time, in hours, will Mandy's entire walk take?
A 3 4\5
B. 5
C. 6
D. 6 1\2
Answer:
If Mandy completed 70% of her walk in 3 hours, then we can find her walking rate as follows:
Let's assume that the entire walk takes t hours. Then, 70% of the walk would take 0.7t hours. We know that Mandy completes 70% of her walk in 3 hours, so we can set up the following equation:
0.7t = 3
Solving for t, we get:
t = 3 ÷ 0.7 ≈ 4.29
So, the entire walk will take approximately 4.29 hours. Since Mandy has already walked for 3 hours, the remaining time she needs to complete her walk is:
4.29 - 3 = 1.29 hours
Therefore, the answer is closest to option A, 3 4/5 hours.
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Suppose we obtain a sample proportion using a sample of size 100. If we want to obtain another sample proportion from the same population, but with standard deviation one-half of what it was for a sample of size 100, what should the sample size be
The standard deviation of a sample proportion is given by the formula:
σ = sqrt((p * (1 - p)) / n)
where σ is the standard deviation, p is the sample proportion, and n is the sample size.
If we want the standard deviation to be one-half of what it was for a sample of size 100, we can write the following equation:
(sqrt((p * (1 - p)) / n)) / 2 = sqrt((p * (1 - p)) / 100)
To simplify the equation, we can square both sides:
((p * (1 - p)) / n^2) / 4 = (p * (1 - p)) / 100
Simplifying further:
100 * n^2 = 4 * 1
n^2 = (4 * 1) / 100
n^2 = 0.04
Taking the square root of both sides:
n = sqrt(0.04)
n = 0.2
Therefore, the sample size should be 0.2. However, since the sample size must be a positive integer, we round it up to the nearest whole number. Therefore, the sample size should be 1.
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Doug walks 3 miles a day and 4 days a week. How many weeks will it take Doug to walk 89 miles?
Enter your answer in the box.
I need help on this
Answer:
ans is 0
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One part of Clare’s job at an environmental awareness organization is to answer the phone to collect donations. The table shows the number of hours she worked each week, , and the amount of donations in dollars, , that the organization collected each week for 10 weeks
The correlation between the variables can be described as a strong positive correlation.
There appears to be a strong positive correlation between the variables of hours worked (x) and donation in dollars (y). This is because the data in the scatter plot suggests a linear association, which means that as the number of hours worked (x) increases, the amount of donations in dollars (y) also increases.
The line of best fit, y = 12x + 41, also supports this correlation, as the slope of the line is positive (12), indicating a positive relationship between the two variables. Additionally, the data points are relatively close to the line of best fit, indicating a strong correlation. If the data points were more spread out from the line of best fit, the correlation would be considered weak.
Therefore, the correlation between the number of hours worked and the amount of donations collected is a strong positive correlation.
Note: The question is incomplete. The complete question probably is: One part of Clare’s job at an environmental awareness organization is to answer the phone to collect donations. The table shows the number of hours she worked each week,x , and the amount of donations in dollars, y, that the organization collected each week for 10 weeks.
Hours worked (x) Donation in dollars (y)
10 162
12 180
20 280
15 231
6 115
10 160
12 195
15 220
25 339
8 128
The data in the scatter plot suggests a linear association. A line to model the data is given by y = 12x + 41. Describe the correlation between the variables as either strong or weak and as either positive or negative. Explain your reasoning.
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4+1/2=
me ayudan plis
Answer:
9/2 or 4 1/2 or 4.5
Step-by-step explanation:
4+1/2=8/2+1/2=9/2
Answer:
es 4 1/2 creo
Step-by-step explanation:brainliest plis
Pls help will give brainly
Answer:
y = - 2x - 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 4, 4) and (x₂, y₂ ) = (2, - 8) ← 2 points on the line
m = \(\frac{-8-4}{2-(-4)}\) = \(\frac{-12}{2+4}\) = \(\frac{-12}{6}\) = - 2
The line crosses the y- axis at (0, - 4 ) ⇒ c = - 4
y = - 2x - 4 ← equation of line
15 bikes increased by 140%
Answer:
21
Step-by-step explanation:
One unit of A is composed of two units of B and three units of C. Each B is composed of one unit of F. C is made of one unit of D, one unit of E, and two units of F. Items A,B,C, and D have 20,50,60, and 25 units of on-hand inventory, respectively. Items A,B, and C use lot-for-lot (L4L) as their lot-sizing technique, while D,E, and F require multiples of 50,100 , and 100 , respectively, to be purchased. B has scheduled receipts of 30 units in period 1. No other scheduled receipts exist. Lead times are one period for items A, B, and D, and two periods for items C,E, and F. Gross requirements for A are 20 units in period 1,20 units in period 2, 60 units in period 6, and 50 units in period 8. Find the planned order releases for all items.
The planned order releases for each item are as follows: A: 20 units in period 1, B: 10 units in period 1, C: 40 units in period 3, D: No planned order release, E: 100 units in period 5, F: 100 units in period 5
To determine the planned order releases for all items, we need to calculate the net requirements for each period based on the given information. We will start with the highest-level item and work our way down the bill of materials.
Item A:
Period 1: Gross requirement of 20 units.
Since A uses lot-for-lot (L4L) as the lot-sizing technique, we release an order for 20 units of A.
Item B:
Item B is a component of A, and each A requires 2 units of B.
We need to calculate the net requirements for B based on the planned order release for A.
Period 1: Gross requirement of 20 units * 2 (requirement multiplier for B) = 40 units.
B has a scheduled receipt of 30 units in period 1.
Net requirement for B in period 1: 40 units - 30 units = 10 units.
Since B also uses L4L as the lot-sizing technique, we release an order for 10 units of B.
Item C:
Item C is a component of A, and each A requires 3 units of C.
We need to calculate the net requirements for C based on the planned order release for A.
Period 1: Gross requirement of 20 units * 3 (requirement multiplier for C) = 60 units.
C has a lead time of two periods, so we need to account for that.
Net requirement for C in period 3: 60 units - 20 units (scheduled receipt for A in period 1) = 40 units.
Since C uses L4L as the lot-sizing technique, we release an order for 40 units of C.
Item D:
Item D is a component of C, and each C requires 1 unit of D.
We need to calculate the net requirements for D based on the planned order release for C.
Period 3: Gross requirement of 40 units * 1 (requirement multiplier for D) = 40 units.
D has a lead time of one period, so we need to account for that.
Net requirement for D in period 4: 40 units - 60 units (scheduled receipt for C in period 3) = -20 units (no requirement).
Since the net requirement is negative, we do not release any planned order for D.
Item E:
Item E is a component of C, and each C requires 1 unit of E.
We need to calculate the net requirements for E based on the planned order release for C.
Period 3: Gross requirement of 40 units * 1 (requirement multiplier for E) = 40 units.
E has a lead time of two periods, so we need to account for that.
Net requirement for E in period 5: 40 units - 0 units (no scheduled receipt for E) = 40 units.
Since E requires a multiple of 100 to be purchased, we release an order for 100 units of E.
Item F:
Item F is a component of B and C, and each B requires 1 unit of F, while each C requires 2 units of F.
We need to calculate the net requirements for F based on the planned order releases for B and C.
Period 1: Gross requirement for B = 10 units * 1 (requirement multiplier for F) = 10 units.
Period 3: Gross requirement for C = 40 units * 2 (requirement multiplier for F) = 80 units.
F has a lead time of two periods, so we need to account for that.
Net requirement for F in period 5: 10 units + 80 units - 0 units (no scheduled receipt for F) = 90 units.
Since F requires a multiple of 100 to be purchased, we release an order for 100 units of F.
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Find the equation of the line that passes through (1, -1) and is parallel to
2x + y - 3 = 0
Leave your answer in the form y = mx + c
keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above
\(2x+y-3=0\implies y=\stackrel{\stackrel{m}{\downarrow }}{-2} x+3 \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)
so we're really looking for the equation of a line with a slope of -2 and that passes through (1 , -1)
\((\stackrel{x_1}{1}~,~\stackrel{y_1}{-1})\qquad \qquad \stackrel{slope}{m}\implies -2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{-2}(x-\stackrel{x_1}{1}) \\\\\\ y+1=-2x+2\implies y=-2x+1\)
A ball has a radius of 18 cm.
What is the approximate volume of the ball?
Use 3.14 to approximate pi. Round to the nearest hundredth if necessary.
Enter your answer as a decimal.
? cm^3
Answer:
24429.02
Step-by-step explanation: