Answer:
33.
Step-by-step explanation:
Using PEMDAS, we would multiply 5 • 6 first, giving us 30. After this, we would complete the problem by adding 3. The end result is 33.
Answer:
33
Step-by-step explanation:
BODMAS rule
5×6+3
(5×6)+3
30+3
33
1. Compare the expressions and (+)-2² using <, , or >. Show your work.
I
Answer:
8+3²-2-6
7-1-2
Answer:
-55
Step-by-step explanation:
8+3²-2-6
7-1-2
a function is a relation in which each possible input value leads to exactly one output value. the input values make up the range and the output values make up the domain
A relation between sets is referred to as a function when there is exactly one output for each input.
Which statement is true?A function is a relation where each output value is assigned to exactly one input value.The domain of a function is the set of all output values, or y-values, for which the function is defined.The range of a function is the set of all input values, or x-values, for which the function is defined.To write the equation y = ax + b in function notation, substitute f(x) for y.?To write the equation y = ax + b in function notation, substitute f(x) for y
The only true statement is the last one. A function assigns exactly one output value to each input value. The domain is the set of all input, or x-values. The range is the set of all output, or y-values.
y=ax+b can be written in function notation by replacing y with f(x).
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time-use data show that married american women have cut their housework time roughly in half over the last half-century, while men have:
Over the last half-century, time-use data has shown that married American women have significantly reduced their housework time, cutting it roughly in half.
This change can be attributed to various factors such as advancements in home appliances, shifting gender roles, and increased participation of women in the workforce. On the other hand, men have gradually increased their contributions to housework during this period.
This shift in housework responsibilities can be attributed to societal changes that promote a more equitable distribution of domestic tasks between partners. As gender norms have evolved, men are increasingly taking on roles that were once predominantly associated with women, leading to a more balanced approach to housework within households. Additionally, the rise in dual-income families has necessitated a more equal division of domestic responsibilities.
In summary, over the past 50 years, married American women have seen a considerable decrease in housework time, while men have increased their contributions. This change reflects evolving gender roles and societal expectations, promoting a more equal division of labor within households.
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The number of bricks, B , needed to build a wall of length L feet and uniform height H feet can be found by the equation B = 7 L H . A wall of uniform height that is 16 feet long is constructed using 280 bricks. What is the height, in feet, of the wall?
The height of the wall in feet is 2.5 feet.
According to the question,
We have the following information:
The number of bricks, B , needed to build a wall of length L feet and uniform height H feet can be found by the equation B = 7 L H .
A wall of uniform height that is 16 feet long is constructed using 280 bricks.
So, we have:
B = 280 and H = 16
Putting these values in the given expression:
B = 7LH
280 = 7*L*16
L = 280/(7*16)
L = 280/112
L = 2.5 feet
Hence, the height of the wall in feet is 2.5 feet.
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Simplify the following expression. (m^2-m^3-4)-(4m^2+7m^3-3)
Answer:
2m
4
−2m
3
−26m
2
−23m+20
Step-by-step explanation:
Which expression is equivalent to 25x â€" 45y?
A. 25(5x â€" 20y)
B. 5(5x - 9y)
C. 70(x â€" y)
D. 10(15x â€" 35y)
Answer:
D
Step-by-step explanation:
Somehting bknbye3uehnfhnjun Español uno, como sulfhídrica
Oona likes only red,yellow and blue markers. 1/6 of OONA'S markers are red and 1/4 of the markers are yellow and the rest are blue. She has 8 red markers. How many blue markers does she have?
Answer:
28
Step-by-step explanation:
If 1/6 of the markers are red (8) then 8 * 6 = 48 meaning Oona has 48 markers, 8 of them being red.
1/4 of 48 is 12, so 12 yellow markers
If the rest are blue, then 8+12 = 20 and 48-20=28
There are 28 blue markers
eighty percent of the light aircraft that disappear while in flight in a certain country are subsequently discovered. of the aircraft that are discovered, 65% have an emergency locator, whereas 82% of the aircraft not discovered do not have such a locator. suppose a light aircraft has disappeared. (round your answers to three decimal places.)
Mitchell has $17000 to put towards a car. He wants to invest this money in an account paying 3.3%/a
compounded monthly and use it to pay for his monthly car payments for 5 years. He is choosing between a Ford
Focus which will cost him $299 a month (no money down) and a Volkswagen Golf that will cost him $389 a month
(no money down). Which monthly payment can Mitchell afford?
Answer:
He can afford the monthly payment of the Ford car since his accumulated interest after 5 years is greater than the amount the Ford will cost
Step-by-step explanation:
For the Ford
There are 60 months in 5 years so the total amount he will be paying is 60 * 299 = $17,940
For the Volkswagen, amount to pay will be 60 * 389 = $23,340
Now to see the payment he can afford, let’s calculate the amount he will have in his savings
We shall use the formula for compound interest here
A = I(1 + r/n)^nt
where A is the amount after the
number of years
I is the initial amount = 17,000
r is the rate = 3.3% = 3.3/100 = 0.033
n is the
number of times interest is compounded per year = 12
t = number of years = 5
plugging these values we have
A = 17,000(1 + 0.033/12)^12(5)
A = 17,000( 1.00275)^60
A = $20,045
This shows he can afford the Ford
begin{tabular}{|r|l|r|r|} \hline 3 & Below are your numerical inputs for the problem: \\ \hline 4 & Initial Cost (\$) & 390000 \\ \hline 5 & Year 1 Revenues (\$) & 192000 \\ \hline 6 & Year 1 Costs (\$) & 125000 \\ \hline 7 & Inflation & 2.75% \\ \hline 8 & Project Duration (years) & 6 \\ \hline 9 & Depreciation Method & \\ \hline 10 & Tax Rate & \\ \hline 11 & Net Working Capital (\% oft+1 Revenues) & MACRS \\ \hline 12 & Salvage Value (\$) & 28.00% \\ \hline 13 & Cost of Capital & 15.00% & 245000 \\ \hline \end{tabular} How much are the year 1 operating cash flows (OCF)? How much is the depreciation expense in year 3 ? What is the change in Net Working Capital (NWC) in year 2? What is the net cash flow from salvage (aka, the after-tax salvage value, or ATSV)? What is the project's NPV? Would you recommend purchasing the ranch? Briefly explain.
Information is needed to evaluate the project's financial viability, considering factors such as the initial investment, expected cash flows, cost of capital, and project duration.
To calculate the year 1 operating cash flows (OCF), we need to subtract the year 1 costs from the year 1 revenues:
OCF = Year 1 Revenues - Year 1 Costs
OCF = $192,000 - $125,000
OCF = $67,000
To find the depreciation expense in year 3, we need to determine the depreciation method. The provided information is incomplete regarding the depreciation method, so we cannot calculate the depreciation expense in year 3 without knowing the specific method.
The change in Net Working Capital (NWC) in year 2 can be determined by multiplying the Net Working Capital percentage (given as a percentage of t+1 revenues) by the year 1 revenues and subtracting the result from the year 2 revenues:
Change in NWC = (Year 2 Revenues - Net Working Capital percentage * Year 1 Revenues) - Year 1 Revenues
Without the specific Net Working Capital percentage or Year 2 Revenues values, we cannot calculate the exact change in NWC in year 2.
The net cash flow from salvage (ATSV) is calculated by multiplying the Salvage Value percentage by the Initial Cost:
ATSV = Salvage Value percentage * Initial Cost
ATSV = 28% * $390,000
ATSV = $109,200
To calculate the project's NPV, we need the cash flows for each year, the cost of capital, and the project duration. Unfortunately, the information provided does not include the cash flows for each year, so we cannot calculate the project's NPV.
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The complete question is:
Below are your numerical inputs for the problem: 4 & Initial Cost (\$) & 390000 5 & Year 1 Revenues (\$) & 192000 6 & Year 1 Costs (\$) & 125000 7 & Inflation & 2.75% 8 & Project Duration (years) & 6 9 & Depreciation Method & 10 & Tax Rate & 11 & Net Working Capital (\% oft+1 Revenues) & MACRS 12 & Salvage Value (\$) & 28.00% 13 & Cost of Capital & 15.00% & 245000 How much are the year 1 operating cash flows (OCF)? How much is the depreciation expense in year 3 ? What is the change in Net Working Capital (NWC) in year 2? What is the net cash flow from salvage (aka, the after-tax salvage value, or ATSV)? What is the project's NPV? Would you recommend purchasing the ranch? Briefly explain.
The point of intersection of concurrent lines is called the?
The point of intersection of concurrent lines is called the point of concurrency.
Concurrent lines are lines that intersect at a single common point. This point of intersection is also known as the point of concurrency.
It can also be said that concurrent lines are lines that pass through a common point and this point is known as the point of intersection or point of concurrency.
In geometric figures, there are some special point of concurrency. For example, in a triangle, there are three special point of concurrency: the incenter, the circumcenter, and the orthocenter. The incenter is the center of the inscribed circle, the circumcenter is the center of the circumcircle and orthocenter is the point where the three altitudes of the triangle intersect.
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The following data show the frequency of rainy days in a year less than 0.01 inch 165 days 0.01 -1 inch 90 days 1.01 - 5 inches 60 days 5.01 -10 inches 40 days more than 10 inches 10 days Find the mode.
The mode of a dataset is the value that appears most frequently. In this case, we need to find the interval of rainfall that occurs most frequently.
From the given data, we can see that the interval "less than 0.01 inch" has the highest frequency with 165 days. Therefore, the mode of this dataset is "less than 0.01 inch"
Effective communication is crucial in all aspects of life, including personal relationships, business, education, and social interactions. Good communication skills allow individuals to express their thoughts and feelings clearly, listen actively, and respond appropriately. In personal relationships, effective communication fosters mutual understanding, trust, and respect.
In the business world, it is essential for building strong relationships with clients, customers, and colleagues, and for achieving goals and objectives. Good communication also plays a vital role in education, where it facilitates the transfer of knowledge and information from teachers to students.
Moreover, effective communication skills enable individuals to engage in social interactions and build meaningful connections with others. Therefore, it is essential to develop good communication skills to succeed in all aspects of life.
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Can someone please help me asap?!?! I’ll mark brainlist !!!!
Answer:
a (180)
Step-by-step explanation:
you do 5 plus 5 plus 4 plus 4 and then you get 18 and then you do 18x10 to get 180. Have a great day!
What is the yield to maturity on a 1000 face value discount bond maturing in one year that sells for $800?
Since the bond is a discount bond, it's only payment is the repayment of the par value at maturity, i.e., in one year.Yield to maturity = 25%
Yield to maturity (YTM) is the total rate of return a bond will have achieved after all interest payments and principal repayments have been made.
In essence, YTM represents the internal rate of return (IRR) on a bond if held to maturity.It can be difficult to calculate yield to maturity because it makes the assumption that the bond's rate of return is applicable to all interest and coupon payments.
800 = \(\frac{1000} {1 + \:\:yield \:\:to \:maturity}\)
1 + Yield to maturity = 1.25
Yield to maturity = 25%
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Select the correct locations on the graph
select the lines that represent functions
Step-by-step explanation:
Using the vertical line test, we can see which lines are functions, and which are not. If a vertical line were to hypothetically appear, would it touch more than one part of the line? If so, it is not a function.
The lines outlined in a black box are the correct answers.
Answer:the other person is right
Step-by-step explanation:
In a class of 25 students, some students play a sport, some play a musical instrument, some do both, some do neither. Complete the two-way table below. Due ASAP!
Does not do instrument and sport will be 2 (middle). Then you can go horizontol for does not play sport with the total being 7 (middle right) . 25 - 7 = 18 (top right). 18 - 16 = 2 (top left). 5 + 2 = 7(Bottom left)
Hope it helped because i cant really draw on it. :<
Two-way table for the given data is attached in the picture.
Two way table for the given data: Data given in each row will sum in the column 'total'. Data given in each column will sum in the last row.Last row → (Plays an instrument) + (does not play an instrument) = 25
Plays an instrument = 25 - 18 = 7
First column → Students play an instrument and plays a sport + Students play an instrument but don't play a sport = Column total
Students play an instrument and plays a sport + 5 = 7
Students play an instrument and plays a sport = 7 - 5 = 2
Column two → Students who do not play an instrument but play a sport + Students who do not play an instrument and do not play a sport = column total
16 + Students who do not play an instrument and do not play a sport = 18
Students who do not play an instrument and do not play a sport = 18 - 16
= 2
Second row → Students who play an instrument but do not play a sport + Student who neither play a sport nor play an instrument = Total of second row
Total of the second row = 5 + 2 = 7
First row → Students who play an instrument and play a sport + Students who do not play an instrument and play a sport = Total of first row
Total of the first row = 2 + 16 = 18
Therefore, two way table will be as shown in the picture attached.
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A students that 42% of 78 is 45
Answer:
this is incorrect. 42% of 78 is actually 32.76
if -5,3 and 5,3 are two vertices of an equilateral triangle, then find the coordinates of the third vertex, given that orgin lies inside the triangle (Take √3 = 1.7)
Therefore, The Coordinates of the THIRD VERTEX is: ( 5, -3 )
Step-by-step explanation:Calculate the midpoint of the given vertices:
MidPoint = ( -5 + 5/2, 3 + 3/2 )
MidPoint = ( 0, 3 )
Calculate the distance between the given vertices:Distance = √( -5 -5 )^2 + ( 3 - 3 )^2
Distance = √( -10 )^2 + (0)^2
Distance = √100
Distance = 10
Calculate the side length of the equilateral triangle:Side Length = 10/√3
Side Length = 10/1.7
Side Length = 5.88
Calculate the height of the Third Vertex:Height = √3/2 * Side Length
Height = 1.7/2 * 5.88
Height = 5
Calculate the Coordinates of the Third Vertex:Since the origin lies inside the triangle, The Third Vertex will have a Positive X-Coordinate and a Negative Y-Coordinate.
Now, Let the Third Vertex Be:( x, y )
Using the MidPoint Formula now we have:x = -5 + x/2
y = 3 + y/2
Solve for X and Y, we now get:x = 5
y = -3
Draw a conclusion:Hence, The Coordinate of the Third Vertex is: ( 5, -3 )
I hope this helps!
calculate the double integral. 4x 1 + xy da, r = [0, 4] × [0, 1] r
The value of Double integral will be \(\mathrm{I}=4 \int_0^4 \ln |1+\mathrm{x}| \mathrm{dx}\)
A two-dimensional region can be integrated using double integrals. They enable us to, among other things, calculate the volume beneath a surface.
The integrals of a function in two variables over a region in R2, or the real number plane, are referred to as double integrals in mathematics. It is possible to write the double integral of a function of two variables, such as f(x, y), over a rectangular region as: R f (x, y) d A = R f (x, y) d x d y.
We know that by the property of integral \($\int u \mathrm{udv}=u v-v \int d u$\)
\($$\begin{aligned}& \mathrm{I}=4 \int_0^4 \ln |1+\mathrm{x}| \mathrm{dx}=\left[\mathrm{x} \ln (1+\mathrm{x})-\int \mathrm{x} \frac{.1}{1+\mathrm{x}} \mathrm{dx}\right]_0^4 \\& \mathrm{I}=4\left[\mathrm{x} \ln (1+\mathrm{x})-\int\left(1-\frac{1}{1+\mathrm{x}}\right) \mathrm{dx}\right]_0^4 \\& \mathrm{I}=4[\mathrm{x} \ln (1+\mathrm{x})-\mathrm{x}+\ln |1+\mathrm{x}|]_0^4 \\& \mathrm{I}=[4 \ln (5)-4+\ln (5)]-[0-0+0] \\& \mathrm{I}=4[5 \ln 5-4] \\& \mathrm{I}=20 \ln 5-16\end{aligned}$$\)
We have to evaluate the given double integral
\($$\iint_{\mathrm{R}} \frac{4 \mathrm{x}}{1+\mathrm{xy}} \mathrm{dA} \text { where } \mathrm{R}=[0,4] \times[0,1]$$\)
\($$\begin{aligned}& \mathrm{I}=\int_0^4 \int_0^1 \frac{4 \mathrm{x}}{1+\mathrm{xy}} \mathrm{dydx}=\int_0^4 4 \mathrm{x}\left[\frac{|1+\mathrm{xy}|}{\mathrm{x}}\right]_0^1 \mathrm{dx} \\& \mathrm{I}=\int_0^{44}[\ln |1+\mathrm{x}|-0] \mathrm{dx}=4 \int_0^4 \ln |1+\mathrm{x}| \mathrm{dx}\end{aligned}$$\)
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what is 100015639674398421 -128846+847718931937748-10000000000000001+68399889339=
Therefore , the solution of the given problem of expressions comes out to be 90823656560366161.
What is an expression ,exactly?It is preferable to use movable numerals factors, which can be increasing, decreasing, or blocking, rather than generating estimates at random. They were only able to assist one another by exchanging resources, knowledge, or answers to problems. Defenses, components, and annotations for mathematical procedures like additional rejection, manufacturing, and mixture may be included in a statement of truth.
Here,
=> 100015639674398421 - 128846 + 847718931937748 - 10000000000000001 + 68399889339
=> 100015639674398421 - 10000000000000001 + 847718931937748 - 128846 + 68399889339
=> 90015639674398420 + 847718931937748 - 128846 + 68399889339
=> 90823656560366161
As a consequence, the answer to the equation is 90823656560366161.
Therefore , the solution of the given problem of expressions comes out to be 90823656560366161.
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The normal curve with a mean of 0 and standard deviation of 1 is called ______________.
a. standard normal curve.
b. the emperical rule.
c. a random variable.
d. the z-value.
The normal curve with a mean of 0 and standard deviation of 1 is called (D) the z-value.
What is a standard score (z-value)?The z-score value indicates how many standard deviations you are from the mean. A z-score of 0 indicates that the data is on the mean. A positive z-score indicates that the raw score exceeds the mean average. For example, a z-score of +1 indicates that it is one standard deviation above the mean. The number of standard deviations by which the value of a raw score (that is, an observed value or data point) is above or below the mean value of what is being observed or measured is referred to as the standard score in statistics. Raw scores that are higher than the mean have positive standard scores, while those that are lower than the mean have negative standard scores.Therefore, the normal curve with a mean of 0 and standard deviation of 1 is called (D) the z-value.
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You must decide whether to buy new machinery to produce product X or to modify existing machinery. You believe the probability of a prosperous economy next year is 0.7. Prepare a decision tree and use it to calculate the expected value of the buy new option. The payoff table is provided below (+ for profits and - for losses).
When entering the answer, do not use the $ symbol. Do not enter the thousand separator. Enter up to 2 decimal places after the decimal point. For example, $6,525.35 must be entered as 6525.35
N1: Prosperity ($) N2: Recession ($)
A1 (Buy New) $1,035,332 $-150,000
A2(Modify) $823,625 $293,648
The expected value of the "Buy New" option is 724732.60.
Decision Tree:
To solve the given problem, the first step is to create a decision tree. The decision tree for the given problem is shown below:
Expected Value Calculation: The expected value of the "Buy New" option can be calculated using the following formula:
Expected Value = (Prob. of Prosperity * Payoff for Prosperity) + (Prob. of Recession * Payoff for Recession)
Substituting the given values in the above formula, we get:
Expected Value for "Buy New" = (0.7 * 1,035,332) + (0.3 * -150,000)Expected Value for "Buy New" = 724,732.60
Therefore, the expected value of the "Buy New" option is 724,732.60.
Conclusion:
To conclude, the decision tree is an effective tool used in decision making, especially when the consequences of different decisions are unclear. It helps individuals understand the costs and benefits of different choices and decide the best possible action based on their preferences and probabilities.
The expected value of the "Buy New" option is 724,732.60.
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Graph the solution to this inequality on the number line.
x+5<−2
First select the correct ray. Then select the location of the endpoint to plot the inequality on the number line.
The solution to the inequality \(x + 5 < -2\) is \(x < -7\)
InequalitiesInequalities are used to represent unequal expressions
Number linesNumber lines are used to relate numbers at a constant interval
The inequality is given as:
\(x + 5 < -2\)
Subtract 5 from both sides of the inequality
\(x + 5 -5< -2-5\)
Evaluate like terms
\(x < -7\)
See attachment for the graph of the inequality
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IF U WAN BRAINLIEST PLS HELP
7) 65%
8) 5%
9) 19 pencils
10) 30 questions
7)20 - 7 = 13
13/20= 0.65
0.65= 65%
8) 40 - 38 = 2
2/40= 0.05
0.05 = 5%
9) 0.38 times 50 = 19
10) i just did 30 divided by 27 and got 90%
A swimmer competes in a 200 meter free style race. If the swimmer finishes the race in 5 minutes. How fast was the swimmer swimming?
Answer:
40meters per minutes
Step-by-step explanation:
Answer:
40m/min
Step-by-step explanation:
200m/5min
40m/min
Hope this helps!
Which point has coordinates ( -5, -4) ?
Please help ASAP!!! I will give 20 points
Answer:
Y is your answer
Step-by-step explanation:
pls brainleist
Answer:
point Y
Step-by-step explanation:
If the alternative hypothesis includes the symbol <, the rejection region is in the upper tail. Group of answer choices True False
True.The given statement "If the alternative hypothesis includes the symbol <, the rejection region is in the upper tail" is true.
If the alternative hypothesis involves less than the symbol <, the rejection region would be in the upper tail.There are two possibilities for the alternative hypothesis, one is that it is two-sided (≠), and the other is that it is one-sided (< or >).
When the null hypothesis is true, a one-tailed test is more efficient than a two-tailed test because it is more likely to detect a real difference. A one-tailed test is appropriate when we want to test whether a parameter is greater than or less than a certain value.
The hypothesis test's alternative hypothesis is a statement that is accepted if the null hypothesis is rejected. A one-tailed test is a hypothesis test in which the region of rejection is located on only one side of the distribution.As a result, if the alternative hypothesis includes the symbol <, the rejection region is in the upper tail. The alternative hypothesis is typically denoted by H1, while the null hypothesis is denoted by H0.
It is necessary to specify the rejection region in the alternative hypothesis, which can be one-tailed (one-sided) or two-tailed (two-sided).If the alternative hypothesis involves less than the symbol <, the rejection region would be in the upper tail. The null hypothesis and the alternative hypothesis must be mutually exclusive and collectively exhaustive; that is, they must cover all possibilities. We cannot test both hypotheses at the same time because they are contradictory; instead, we must determine which hypothesis is more likely to be true based on the sample data.The null hypothesis assumes that there is no distinction between the population parameters and the sample statistics. The alternate hypothesis assumes that the sample statistics vary from the population parameters.
As a result, the alternative hypothesis can be written as Ha: µ < µ0 or Ha: µ > µ0 if the rejection region is one-sided.
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identify the surface with the given vector equation. r(s, t) = s sin(9t), s2, s cos(9t)
The surface with the given vector equation is a portion of a cone with the axis along the y-axis and opening angle of 90 degrees.
The surface with the given vector equation r(s, t) = (s sin(9t), s^2, s cos(9t)) is a helicoid. The helicoid is generated by a line segment moving along a helical path while remaining perpendicular to the helix's axis. In this case, the helicoid has a variable height s^2 and is wrapped around the z-axis with a frequency of 9.
Vector equations are used to represent the lines or planes in a three-dimensional framework. The three-dimensional plane requires three coordinates with respect to the three-axis and here the vectors are helpful to easily represent the vector equation of a line or a plane. In a three-dimensional framework the unit vector along the x-axis is ^i, the unit vector along the y-axis is ^j, and the unit vector along the z-axis is ^k.
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What is the volume, in cubic ft, of a rectangular prism with a height of 8ft, a width of 8ft, and a length of 18ft?
The volume of the cuboid is 1152 ft³
What is volume of a cuboid?A cuboid is a solid shape or a three-dimensional shape. A convex polyhedron that is bounded by six rectangular faces with eight vertices and twelve edges is called a cuboid.
A rectangular prism is called a cuboid and the volume of a cuboid is expressed as;
V = base area × height
The base is rectangle, the area of a rectangle is expressed as;
A = l× w
A = 18 × 8
A = 144 ft²
V = base area × height
V = 144 × 8
V = 1152 ft³
Therefore, the volume of the cuboid is 1152 ft³
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This is Section 3.2 Problem 2: The cost function, in dollars, for producing $x$ items of a certain brand of barstool is given by C(x)-0.01x3-0.6x2+13x+200 (a) C(x).03r- .12x +13 (b) MC(50)-82 dollars per barstool . It approximately represents the cost of producing the 50 th barstool (c) The exact cost of producing the 51th barstool is C 51 -c50 28.91 dollars (d) Using C(50) and MC (50), the total cost of producing 53 barstools is approximately -Select
In the following question, the Total cost to production 50 barstools: $1,200 Total cost to produce 51 barstools: $1,228.91 "Total cost to produce 52 barstools: $1,258.44" Total cost to produce 53 barstools: $1,288.59 Therefore, the approximate total cost of producing 53 barstools is $559.15.
The cost function for producing $x$ items of a certain brand of barstool is given by C(x)=0.01x3-0.6x2+13x+200.
(a) C(x)=0.03x3- 0.12x2+13
(b) MC(50)=-82 dollars per barstool.
It approximately represents the cost of producing the 50th barstool.
(c) The exact cost of producing the 51st barstool is C51=C50+MC(50)=$28.91 dollars.
(d) Using C(50) and MC (50), the total cost of producing 53 barstools is approximately C50+(53-50) MC(50)=$229.82.
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