An object is thrown from a roof 200 feet above the ground. The height of the object, in feet, t seconds after being thrown is given by the
function h(t) = -162 + 8t + 200.
What is the height of the object 2 seconds after being thrown?
A. 120 feet
B.152 feet
C. 184 feet
D. 192 feet
Marcos reads 3 1/2 books in 1 3/4 weeks. How many does he read in 1 week?
Answer:
2 books
Step-by-step explanation:
3 1/2 ÷ 1 3/4
Convert the mixed numbers to improper fractions.
7/2 ÷ 7/4
Keep Change Flip
7/2 × 4/7
28/14
2 books
reatest, or the mean of
node: The number that appea
POL
oss
Find the mean for 3, 9, 5, 4, 9.
Di please find mean of this question?
Answer:
The Mean is 6.
Step-by-step explanation:
Is an estimate of 28,000 over or under the actual product of 365 and 68? How can you tell? over; because both were rounded up over; because both were rounded down under; because both were rounded up under; because both were rounded down over; because one was rounded up and the other was rounded down under; because one was rounded up and the other was rounded down
Answer:
It’s under because 365 x 68 = 24,820
So the estimate is under the actual product of 365 and 68
Step-by-step explanation:
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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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What is the slope and the y-intercept? y=-8x + 89
y=-8x + 89
Slope m= 8
y- intercept = +89. For x= 0
Please help!!! photo is attached.
find the value of x
x = √ [?]
The required value of x is x = \(\sqrt{79}\)
Given : A right angled triangle
This right angles triangle is again divided in two parts
the first part has measures 3 , z and the other side can be calculated by using The Pythagoras Theorem
According to this theorem
3² + z² = y²
thus 9 + z² = y² ------------------equation 1
Also 7 + 3 = 10
thus 10² = z² + x²-----------------equation 2
And 7² + y² = x² --------------- equation 3
from equation 1 we know
9 + z² + 49 = x²
58 + z² = x²
Thus on substituting this in equation 2 we get
100 = 58 + z² + z²
42 = 2z²
21 = z²
z = \(\sqrt{21}\)
thus x² = 58 + 21 = 79
x = \(\sqrt{79}\)
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a ow network with supplies is a directed capacitated graph with potentially multiple sources and sinks, which may have incoming and outgoing edges respectively.
A flow network with supplies is a directed capacitated graph where each edge has a capacity indicating the maximum flow that can pass through it. The flow in the network represents the movement of a certain resource (e.g., water, electricity, goods) from sources to sinks.
In a flow network with supplies, there may be multiple sources, which are nodes that generate the resource and have outgoing edges, and multiple sinks, which are nodes that consume the resource and have incoming edges.
The sources and sinks can have different supply or demand values, indicating the amount of resource they generate or consume.
The edges in the flow network have capacities that restrict the maximum flow that can pass through them. The capacity represents the limit on the amount of resource that can traverse the edge. The flow through an edge cannot exceed its capacity.
The objective in a flow network is to determine the maximum flow that can be sent from sources to sinks while respecting the capacities of the edges. This is typically solved using algorithms such as the Ford-Fulkerson algorithm or the Edmonds-Karp algorithm.
The concept of a flow network with supplies is important in various applications, such as transportation networks, communication networks, and supply chain management, where resources need to be efficiently distributed from multiple sources to multiple sinks, taking into account the capacity constraints of the network.
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Use the information provided below to answer the following questions. Where applicable, use the present value tables provided in APPENDICES 1 and 2 that appear after QUESTION 5. 5.1 Calculate the Payback Period of both machines (expressed in years, months and days.) 5.2 Which machine should be chosen on the basis of payback period only? Why? 5.3 Calculate the Accounting Rate of Return (on average investment) of Machine A (expressed to two decimal places). 5.4 Calculate the Net Present Value of each machine (amounts expressed to the nearest Rand.) 5.5 Calculate the Internal Rate of Return of Machine B (expressed to two decimal places) using interpolation. INFORMATION Niterra Limited intends purchasing a new machine and has a choice between the following two machines: The company estimates that it's cost of capital is 12%. Depreciation is estimated at R 80000 per year.
To analyze the investment decision between Machine A and Machine B, various financial metrics are calculated. The payback period, accounting rate of return, net present value, and internal rate of return are determined. Based on these calculations, the suitable machine is chosen, considering the payback period, cost of capital, and other factors.
The payback period of both machines is calculated by determining the time required to recover the initial investment. It is expressed in years, months, and days. The machine with the shorter payback period indicates a faster return on investment.
Using the payback period as the sole criterion for decision-making, the machine with the shorter payback period should be chosen. However, it's important to note that the payback period does not consider the time value of money or the profitability beyond the payback period.
The accounting rate of return on average investment for Machine A is calculated by dividing the average annual profit by the average investment cost, expressed to two decimal places. This metric provides an indication of the profitability of the investment.
The net present value (NPV) of each machine is calculated by discounting the expected cash flows using the company's cost of capital (12%). NPV represents the present value of the expected cash inflows and outflows associated with the investment. The machine with the higher NPV indicates a higher value addition to the company.
The internal rate of return (IRR) of Machine B is determined using interpolation. IRR is the discount rate that equates the present value of expected cash flows to the initial investment. It indicates the profitability and return on investment of Machine B.
Considering all these factors and the company's cost of capital, a comprehensive evaluation can be made to determine the most suitable machine for investment.
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pls help 10 points each 2 question due in 30 mins
Answer: 108cm%2F%222+cm%22=54 .
Then you would add more rows like that for a total of
72cm%2F%222+cm%22=36 rows.
Step-by-step explanation:
many 2cm by 2cm square can be used to cover the rectangle without any spaces or overlapping.
It is possible because 72 and 108 are both divisible by 2.
You can start by lining up in row 54 such 2cm by 2cm squares along with one of the 108cm long sides,
Really hope this helped couldnt really see it
HELP HELP HELP
Quick algebra 1 question for 15 points!
Explain the difference between slope-intercept form and point-slope form.
Answer:
slope intercept is used when you are given a point (most likely a y intercept) on the graph and a slope. The point slope is a larger formula that is used when you are given a slope and the coordinates of a point.
Step-by-step explanation:
slope intercept : y=mx+b
point slope : y-y1= m(x-x1)
a recent personalized information sheet from your wireless phone carrier claims that the mean duration of all your phone calls was μ = 2.4 minutes with a standard deviation of o = 1.8 minutes. complete parts a through c below.
a. is the population distribution of the duration of your phone calls likely to be bell shaped, right, or left skewed?
b. You are on a shared wireless plan with your parents, who are statisticians. They look at some of your recent monthly statements that list each call and its duration and randomly sample 45 calls from the thousands listed there. They construct a histogram of the duration to look at the data distribution. Is this distribution likely to be bell shaped, right-, or left-skewed?
c. From the sample of n = 45 calls, your parents compute the mean duration. Is the sampling distribution of the sample mean likely to be bell shaped, right-, or left-skewed, or is it impossible to tell?
Answer:
a. The population distribution of the duration of your phone calls is likely to be bell shaped. This is because the mean, median, and mode are all equal to 2.4 minutes. This means that the data is evenly distributed around the mean.
b. The distribution of the 45 calls is likely to be bell shaped as well. This is because the sample size is large enough to be representative of the population. Additionally, the sample was randomly selected, so it is unlikely to be biased.
c. The sampling distribution of the sample mean is also likely to be bell shaped. This is because the central limit theorem states that the sampling distribution of the sample mean will be approximately normal, regardless of the shape of the population distribution, as long as the sample size is large enough. In this case, the sample size is 45, which is large enough to satisfy the requirements of the central limit theorem.
It is important to note that the sampling distribution of the sample mean will only be exactly normal if the population distribution is normal. However, in most cases, the sampling distribution will be approximately normal, even if the population distribution is not.
Step-by-step explanation:
Cuál es el valor de n a la segunda potencia, si n vale 81?
AYUDA POR FAVOOOR :(
Construyendo y resolviendo una ecuación, tenemos que el valor de n a la segunda potencia es dado por 6561.
La ecuación de "n a la segunda potência" es dada por n elevado al quadrado, o sea:
\(E(n) = n^2\)
En este problema, n vale 81, o sea, \(n = 81\), entonces tenemos que calcular 81 elevado al cuadrado:
\(E(81) = 81^2 = 6561\)
Así, de este resultado, hay que el valor de n a la segunda potencia es dado por 6561.
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Find the value of x.
If necessary, you may learn what the markings on a figure indicate.
60°
From the properties of the triangle, the value of x is 30°.
Triangles
Triangles are geometric figures with three (3) sides. They can present different classifications regarding their sides or angles.
The sum of the interior angles of a triangle will always be 180°, independent of its classification.
Classification AnglesThey are a lot of classifications for angles like complementary angles, supplementary angles, right angles, and others. See below:
complementary angles - two angles whose sum is equal to 90°.supplementary angles - two angles whose sum is equal to 180°. right angles - angles whose measure is 90°.The attached image shows that angle y is supplementary to angle 60°. Thus, y+60=180°
y=180-60
y=120°
The figure also shows that the sides DC and AC are equal, then the angles xº and ∠D are equal. From the triangle ACD, you have:
x+x+y=180
2x+120=180
2x=180-120
2x=60
x=30°
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The shaded model represents 100%.
Which of the following represents 40%?
Answer:
c
Step-by-step explanation:
Can someone tell me the answer
Answer:
10
Step-by-step explanation:
Step 1: Equation
f (x) = 3x - 20
Step 2: Given
x = 10
Step 3: Substitute
f (10) = 3 ( 10 ) - 20
Step 4: Solve
f (10) = 30 - 20
Step 5:
f (10) = 10
Answer:
10
Hope This Helps :)
Which of the following number lines shows the solution to the compound inequality given below?
-2<3r+4<13
Answer:
We get -2 < r < 3
Corresponding to the fourth choice
The fourth number line is the correct option
Step-by-step explanation:
-2 < 3r+4 < 13
We have to isolate r,
subtracting 4 from each term,
-2-4< 3r + 4 - 4 < 13 - 4
-6 < 3r < 9
divding each term by 3,
-6/3 < r < 9/3
-2 < r < 3
so, the interval is (-2,3)
or, -2 < r < 3
this corresponds to
The fourth choice (since there is no equality sign)
on a certain sight-seeing tour, the ratio of the number of women to the number of children was 5 to 2. what was the number of men on the sight-seeing tour?
As per the ratio, the number of men on the sight-seeing tour is 4.
In the given sight-seeing tour, we are told that there were 14 people in total. We are also given the ratio of women to children, which is 5 to 2. This means that for every 5 women on the tour, there were 2 children.
To find the number of men on the tour, we need to first find the number of women and children. We can do this by dividing the total number of people by the ratio of women to children.
Let's use a variable to represent the number of sets of 5 women and 2 children. We'll call this variable "x".
So, the number of women on the tour is 5x and the number of children is 2x.
Now, we can set up an equation to find the value of x:
5x + 2x = 14
This equation represents the total number of women and children on the tour, which is equal to 14.
Simplifying the equation, we get:
7x = 14
Dividing both sides by 7, we get:
x = 2
This means that there were 2 sets of 5 women and 2 children on the tour. So, the number of women is:
5x = 5(2) = 10
The number of children is:
2x = 2(2) = 4
Now, we can find the number of men by subtracting the number of women and children from the total number of people:
14 - 10 = 4
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what is the 30th term In the sequence 10,7,4,1-3,...
determine the term to term rule
Answer:
7
Step-by-step explanation:
ok so it 7 but 10 is out so is 3
In performing hypothesis tests about the population mean, if the population standard deviation is not known, a t test can be used to test the mean if _________________.
a. n is small
b. the sample is random
c. the population mean is known
d. the population is normally distributed
e. the population is chi-square distributed.
In performing hypothesis tests about the population mean, a t-test can be used if the population standard deviation is not known and the sample is random.
The conditions of a random sample and unknown population standard deviation are necessary for the t-test to be applicable.
When conducting hypothesis tests about the population mean, if the population standard deviation is unknown, the t-test is appropriate to use. The t-test is specifically designed for situations where the population standard deviation is not known and must be estimated from the sample. By using the sample data, the t-test calculates a test statistic called the t-value, which is used to determine the statistical significance of the mean difference.
However, it is important to note that in addition to the unknown population standard deviation, the sample must also be random for the t-test to be valid. Random sampling helps ensure that the sample is representative of the population, which is crucial for making accurate inferences. Therefore, options (b) "the sample is random" and (d) "the population is normally distributed" are the correct conditions for using a t-test when the population standard deviation is unknown.
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Jaine ha $3. She earn $1. 20 for each chore he doe and can do fraction of chore. She want to earn enough money to buy a CD for $13. 50
13.50<= 1.20c + 3 is the inequality
We can see that it costs her $3 in addition to the $1.20 she receives for each task she completes, which is "C," for a total of $13.50.
Start by deducting her initial investment ($3) from the total ($13.50) to find the solution. By doing this, you'll discover that Janie needs to earn $10.50 in order to meet her goal, and since she receives $1.20 for EVERY chore, you'll also want to determine how many chores it will take her to reach that amount. You can calculate this by simply dividing $10.50 by $1.20, which gives you the total number of tasks she must complete, which is 8 and third tasks.
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Help ASAP! (20 points)
What is the slope-intercept equation for the following line?
y=__x+__
Find LN in the image below
A squared-- so the length of one of the shorter sides squared-- plus the length of the other shorter side squared is going to be equal to the length of the hypotenuse squared.
What is the Pythagorean theorem easy definition?Pythagorean theorem, the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse (the side opposite the right angle)—or, in familiar algebraic notation, a2 + b2 = c2.we can use the Pythagorean theorem to find the length of PN in triangle OPNIn any right triangle, the area of the square whose side is the hypotenuse (remember this is the side opposite the right angle) is equal to the sum of the areas of the squares whose sides are the two legs (the two sides that meet at a right angle).a²+b²=c²Pythagoras theorem can be used to find the unknown side of a right-angled triangle. For example, if two legs of a right-angled triangle are given as 4 units and 6 units, then the hypotenuse (the third side) can be calculated using the formula, c2 = a2 + b2; where 'c' is the hypotenuse and 'a' and 'b' are the two legs.where a and b are legs and c is the hypotenuse
we are given one leg (OP=8) and the hypotenuse (ON=18) so now we can plug in these numbers to find PN
8²+b²=18²
64+b²=324
b²=260
b=√260
b=√4 * √65
b=2√65
now that we have the value of PN, we can get the value of LN by doubling 2√65
2(2√65) = 4√65
so your answer should be:
LN = 4√65
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Determine the monthly payment of a loan for $3,000 at 7. 5% interest compounded monthly for 36 months. A. $93. 32 b. $95. 40 c. $211. 33 d. $253. 60 Please select the best answer from the choices provided A B C D.
Compound interest is the interest which applies on both the initial principal and the accumulated interest. The monthly payment should be $104.29 or more than it. Thus the option C is the correct option.
What is compound interest?Compound interest is the interest which applies on both the initial principal and the accumulated interest. It can be given as,
\(A=p(1+\dfrac{r}{n\times100})^{nt }\)
Here \(A\) is the total amount after \(t\) years on the principal amount \(p\) with interest rate of \(r\).
Given information-
The loan amount is $3000.
The interest rate is 7.5%.
The number of month is 36.
As the number of month in one year 12. Thus the total amount is,
\(A=3000(1+\dfrac{7.5}{100\times12})^{36} \\A=3000(1+\dfrac{7.5}{100\times12})^{36} \\\A=3754.34\)
Monthly payment of loan is,
\(=\dfrac{A}{12} \\=\dfrac{3754.34}{12} \\=104.29\)
Thus the monthly payment should be $104.29 or more than it. Thus the option C is the correct option.
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A shop sold white, pink and red T-shirts. 24% of the T-shirts were white. There were 198 more pink than white T-shirts. The remaining 114 T-shirts were red. How many pink T-shirts were there
Number of pink T-shirts was 342
How to solve it?Given: 24% of the T-shirts were white
Let, total number of T-shirts be x
According to question,
Total number of white T-shirts = 24x/100
Total number of pink T-shirt = 24x/100+ 198
Total number of red T-shirts = 114
According to the question:
24x/100+24x/100+ 198 + 114 = x
312 = x - 48x/100
312 = 52x/100
x = (312*100)/52
x = 600
so Number of pink T-shirts :
=(24*600)/100+198
= 144 + 198
= 342
Hence total Number of pink T-shirts was 342.
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What’s the preimeter to this?
decimal form
119.571428571
fraction form
119571428571/1000000000
Have a nice day
hope this attachment relates to you
guys pls help me!!!!!!
Your first job as a new engineer is to estimate the cost of a new 3000−ft
2
heat exchange system for a plant retrofit. Your company paid $75,000 for a 1200- ft
2
heat exchanger 7 years ago. After a quick check in the literature, you determine the price index 7 years ago was 1360 and is 1478 today. If the power-sizing exponent is 0.55, determine a rough estimate for the cost of the new heat exchanger system.
The estimated cost of the new 3000-ft2 heat exchange system for the plant retrofit can be calculated using the power-sizing exponent and the price index. Based on the given information, the rough estimate for the cost of the new heat exchanger system is approximately $108,984.
To estimate the cost of the new heat exchange system, we need to consider the price index and the power-sizing exponent. The price index provides a measure of the change in prices over time. In this case, the price index 7 years ago was 1360, and the current price index is 1478.
To calculate the cost estimate, we can use the following formula:
Cost estimate = (Cost of previous heat exchanger) × (Current price index / Previous price index) × (New size / Previous size) ^ power-sizing exponent
Using the given information, the cost of the previous heat exchanger was $75,000, the previous size was 1200 ft2, and the new size is 3000 ft2.
Plugging in these values into the formula, we get:
Cost estimate = ($75,000) × (1478 / 1360) × (3000 / 1200) ^ 0.55
Simplifying the calculation, we find:
Cost estimate ≈ $108,984
Therefore, a rough estimate for the cost of the new 3000-ft2 heat exchanger system for the plant retrofit is approximately $108,984. It's important to note that this is just an estimate and the actual cost may vary based on specific factors and market conditions.
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If you spent 58 minutes doing English homework and 47 minutes doing math homework how much more time did you need to spend doing English homework?
Answer:
58 minutes
Step-by-step explanation:
Please brainliest me
There are 11 minutes more time to spend doing English homework.
What is mean by Subtraction?
Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.
Given that;
If you spent 58 minutes doing English homework and 47 minutes doing math homework.
Now,
Since, The time for doing English homework = 58 minutes
And, The time for doing Math homework = 47 minutes
So, The time more to spend doing English homework = 58 - 47
= 11 minutes
Thus, There are 11 minutes more time to spend doing English homework.
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The graph H shows the height, in meters, of a
rocket 1 seconds after it was launched.
a. Find H0). What does this value
represent?
b. Describe the domain of this function.
c. Describe the range of this function.
Answer:
a) H0 = 15 m, is the initial height, the height of the rocket at time 0 s.
b) \(D=[0,5]\)
c) \(R=[0,35]\)
Step-by-step explanation:
a) H0 is the initial height. It means the height of the rocket at time 0 s.
This value is 15 m.
b) The domain is all values of t between 0 and 5 seconds.
\(D=[0,5]\)
c) The range is all values of height from 0 to 35 meters.
\(R=[0,35]\)
I hope it helps you!