The correct answer is d. dp/dt = 1/1200 P (500-P).
What is rate of change?Rate of change is a major of house quickly one quantity change in relation to another it is parisu of the changing 122 the changing another quantity over specified time period it is commonly used mathematics physics economic and other discipline to make operate of vijay process is a caring rate of changing also known as velocity, derivative or slope.
This differential equation describes the rate of change of the number of people entering a movie theater. It states that the rate of change (dp/dt) is equal to the product of 1/1200 and the current number of people (p) in the theater, multiplied by the difference between the capacity of the theater (500) and the current number of people (p). This equation indicates that the rate of change of people entering the theater is proportional to the difference between the capacity and the current number of people.
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Write a two-column proof.
The two column proof that shows congruency of ΔACD ≅ ΔBDC is as detailed below.
How to write a two column proof?A two-column proof is defined as a geometric proof that consists of a list of statements, and the reasons that we know those statements are true.
We want to prove that ΔACD ≅ ΔBDC
Statement 1: AD ⊥ DC, BC ⊥ DC, ∠DAC ≅ ∠CBD, AD ≅ BC, BD ≅ AC
Reason: Given
Statement 2: BC ≅ BC
Reason 2: Reflexive Property of Congruence
Statement 3: ∠DAC ≅ ∠DBC
Reason 3: Corresponding Angles
Statement 4: ∠ACD ≅ ∠BDC
Reason 4: Corresponding Angles
Statement 5: ΔACD ≅ ΔBDC
Reason 5: CPCTC( Corresponding Parts of Congruent Triangles are Congruent.)
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Jerry ordered 4 items online. He is charged $2.25 per pound for shipping. The items weighed 3.2 pounds, 3.8 pounds, 4 pounds, and 4.5 pounds. How much will he be charged for shipping? (Round to the nearest cent).
The total amount that he will be charged for the shipping is given as follows:
$34.88.
What is a proportional relationship?A proportional relationship is defined as follows:
y = kx.
In which k is the constant of proportionality.
Jerry is charged $2.25 per pound for shipping, hence the constant is given as follows:
k = 2.25.
Meaning that the equation for the total cost for a weight of x pounds is given as follows:
y = 2.25x.
The total weight is given as follows:
3.2 + 3.8 + 4 + 4.5 = 15.5 pounds.
Hence the total cost is given as follows:
y = 2.25 x 15.5
y = $34.88.
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During the construction of a recent office building, your
company's framing crew installed 515 lineal feet of 8-foot-
high, metal-stud wall in two days. The crew consisted of two
carpenters and one helper and worked eight hours per day.
Determine productivity rate in
labor hours per foot of wall for installing metal-stud walls on
this project
Edit View Insert Format Tools Table
The productivity rate in labor hours per foot for carpenter is 0.062 hour / feet.
What are fractions?In mathematics, a fraction is referred to as a portion of a whole. For instance, if a pizza is cut into four equal pieces, each one is represented by a quarter. Fractions make calculations quicker and easier by making it easier to distribute and judge numbers. The depiction of fractions appears easier than when decimal values are used.
For carpenter, the total hours contributed are:
(2)(8) = 16 hours
No of das worked by carpenter are 2 days.
The total hours contributed by 2 carpenters are:
16 (2) = 32 hours
The production rate of carpenter is = hours / total work
= 32/ 515 = 0.062 hour / feet.
Hence, the productivity rate in labor hours per foot for carpenter is 0.062 hour / feet.
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Given the following diagram and the fact that HJK=138 find the m LJK
Answer:
<LJK = 69 degrees
Step-by-step explanation:
Triangle HKL and LJK are congruent, therefore their angles will be as well. Divide HJK by 2; 138 / 2 = 69
please help me will give u extra points :)
•
Answer: -8<x> 2
Step-by-step explanation:
open circles indicate that the number shown is not included therefore x must lie in-between -8 and 2
Lee has made a nonrefundable deposit of the first month’s rent (equal to $900) on a
apartment lease to 6 months. The same day later Lee finds a different apartment that
he likes just as well, but its monthly rent is cheaper and negotiable. Assume a nominal
rate interest rate of 8% convertible monthly. The rent will be paid monthly and at the
beginning of each month.
(i) Write down the cash flow and compute the present value (to 2 decimal numbers)
of 6 months if Lee rents the first apartment ($900).
(ii) Find the range of the rent (to 2 decimal numbers) of the cheaper apartment such
that Lee would switch to rent the new apartment.
Answer:
(i) To calculate the present value of 6 months of rent for the first apartment, we can use the formula PV = FV / (1 + r)^n, where PV is the present value, FV is the future value (6 months of rent, or $900 x 6 = $5400), r is the interest rate (8% converted to a monthly rate, or 0.08/12 = 0.0067), and n is the number of periods (6 months). So, PV = $5400 / (1 + 0.0067)^6 = $4911.46
(ii) To find the range of rent for the new apartment such that Lee would switch, we need to find the monthly rent that would result in a present value equal to or greater than $4911.46. Using the same formula, we can solve for the monthly rent (R) by setting PV equal to $4911.46 and n equal to 6. So, $4911.46 = R*(1+0.0067)^6. Solving for R, we get that the monthly rent must be between $732.32 and $766.58 in order to be more favorable than the first apartment.
A 10 kg ball moves at a speed of 15m/s. The ball collides with a wall causing it to rebound in the opposite direction at a speed of 23 m/s.
Calculate the impulse on the ball?
Answer:
The impulse on an object is equal to the change in momentum of the object. In this case, the ball's initial momentum is 10 kg * 15 m/s = 150 kg m/s. After the collision, the ball's final momentum is -10 kg * 23 m/s = -230 kg m/s.
The change in momentum of the ball is: -230 kg m/s - 150 kg m/s = -80 kg m/s.
So, the impulse on the ball is -80 kg m/s.
Question 1 Use PORS to find m
The measure of ∠R of the given parallelogram is 52°.
What is a parallelogram?
A parallelogram is a simple quadrilateral with two sets of parallel sides. A parallelogram's facing or opposing sides are of equal length, and its opposing angles are of a similar measure.
Some of the properties of a parallelogram are,
A pair of parallel and opposite sides are equal in lengthThe opposite angles are equal in measureThe sum of adjacent angles is 180°Given,
Length of PS = 3
Length of RS = 5
∠Q = 128°
Since it is a parallelogram,
PS = QR = 3 and RS = QP = 5
∠Q + ∠R = 180
m∠R = 180 - ∠Q = 180-128 = 52°
Therefore the measure of ∠R of the given parallelogram is 52°.
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Bonomics and Personal Finance (2020) Sem 2
Points Possible: 30
YOUR ASSIGNMENTS
1. One of the hardest things about handling money is balancing short-term needs and wants with veg
term needs and wants, How can you save money in an interest-bearing account when you need every
penny to pay for school loans, car loans, rent, and utilities? Write one paragraph that explains why
thinking about the future might be important even when you're having a hard time managing the present
A good way to save money in an interest-bearing account is using a savings account with intereste
What is future planning?The future of management relies on flexibility, adaptation and pragmatism.
The following ideas can help you make a plan to save and maximize your interest earnings.
1. High-Yield Savings Account. .
2. High-Yield Checking Account. .
3. CDs and CD Ladders.
4. Money Market Account.
5.. Treasury Bills.
Research suggests that thinking about the future,a process known as prospection,can help us lead more generous and fulfilled lives. Mindfulness is all the rage these days, and for good reason. Focusing on the moment can improve our well-being, foster compassion, and help our relationships.
For a better well-being we have to think about the future.
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The perimeter of a rectangular pool is 368m. If the width of the pool is 86m, what is the length
The length of the rectangular pool is 98 m.
What is Area of Rectangle?The area of Rectangle is length times of width.
Given that the perimeter of a rectangular pool is 368m.
The width of the pool is 86m
We need to find the length of the pool.
Perimeter of rectangle=2(Length+width)
368=2(Length+86)
368=2Length+172
368-172=2length
196=2length
Divide both sides by 2
98=length
Hence, the length of the rectangular pool is 98 m.
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Find the tangent of ZZ.
X
39
Z
Simplify your answer and write it as a proper fraction, improper fraction, or whole number.
tan (Z) =
Submit
89
80
Pythagorean theorem
Work it out
Not feeling ready yet? These can help:
Lesson: Trigonometric ratios
The fraction for the value of tan Z is 39/80
What are trigonometric identities?Trigonometric Identities are simply described as equalities that involves several trigonometry functions and also one that holds true for all the values of variables given in the equation.
The types of trigonometric functions as;
sinecosinetangentcotangentsecantcosecantFrom the information given, we have that;
Hypotenuse = 89
Opposite side = 39
Adjacent = 80
tan Z = opposite/adjacent
substitute the values
tan Z = 39/80
Hence, the equation is 39/80
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y > x - 3 a. Change the inequality into slope- intercept form, and then change it into an equation.
The slope of the inequality y > x - 3 is 1
What is the slope of an inequality?
The slope of a line is the ratio of the amount that y increases as x increases some amount
To change the inequality y > x - 3 into slope,
substract x from both sides of the inequality
y- x > x - 3-x
= y-x>-3
= y<-3+x
From the inequality y<-3+x the co-efficient of x is 1
Hence, The slope of the inequality is 1
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We have 81% of our team here today and we have 16 members so , how many members are missing today
2
3
4
12
13
Answer:
12.96
Step-by-step explanation:
13 members are missing today.
You can calculate this by subtracting the percentage of members present (81%) from 100% and then multiplying that number by the total number of team members (16).
100-81 = 19
19/100*16 = 3.04
16-3.04 = 12.96 = 13 (rounded)
Answer:
3 members MISSING
Step-by-step explanation:
0.81 x 16 = ~13
16 - 13 = 3 missing members
The weight of a sphere is proportional to the radius cubed. If a sphere of diameter 1 cm has a mass of 2 grams what diameter sphere has a mass of 54 grams?
The table below represents a geometric sequence. Determine the recursive function that defines the sequence.
Answer:
C
Step-by-step explanation:
How do we get from 4 to 20? Multiply 4 * 5 = 20.
How do we get from 20 to 100? Multiply 20 * 100.
Thus the answer is C where you multiply 5 by the previous function output.
I saw this pattern from experience, however you could also solve another way:
Simply plug in to the given functions in each answer choice.
For example, A:
f(1) = 4
f(n) = 16 * f(n - 1), for n >= 2
Now test values of n and check if they match the table.
f(1) = 4. This matches the table
f(2) = 16 * f(2 - 1) = 16 * f(1) = 16 * 4 = 64. This does not match the table.
You continue this process with the rest of the answer choices until you find a function, f(n), that gives the correct output of the table.
Adliyn mows 2 lawns first is 6 meters long and the second is 4 meters wide. The area of the second lawn is 6 times as big but has the same width of the first. What is the length of the second lawn
Answer:
The area of the first lawn is 64 = 24 square meters.
The area of the second lawn is 6 times bigger, so it is 246 = 144 square meters.
As the second lawn has the same width as the first one, 4 meters, we can calculate the length of the second lawn by dividing the area of the second lawn by its width.
So, the length of the second lawn is 144/4 = 36 meters.
Isaac is 12
3
4
years old. Sheila is 1
3
8
years younger than Isaac and Jane is 1
1
5
years younger than Sheila. How old is Jane?
Answer:
Step-by-step explanation: 2 00
22
Explain what are the figure below are functions or not
Given the problem:
Explain what are the figure below functions or not
The left graph is not a function, the right table is a function. To see if a graph is a function, use the vertical line test. Simply draw vertical lines down the graph, or you don't have to if you can imagine it. None of the vertical lines can pass through any points twice. So in this case, look at (6, 4) and (6, 6). Draw a vertical line down at x=6. It fails the vertical line test because the vertical line passes through the two points.
Next, the table on the right. It is a function. To determine whether a table is a function or not, look at the x values. No x value can duplicate. In this case, all x values are different.
Hope this helped.
Paul's Pizza sells pizza by the slice for lunch. An employee recorded how many slices of each type of pizza were sold today. pepperoni 44 cheese 15 supreme 29 Considering this data, how many of the first 76 slices sold during lunch tomorrow should you expect to be slices of pepperoni pizza?
Answer:
To find out how many of the first 76 slices sold during lunch tomorrow should be pepperoni pizza, we can use the information provided about the proportion of pepperoni pizza slices sold today. We can use the following formula to calculate the expected proportion:
(number of pepperoni slices / total number of slices) * 100
Plugging in the numbers we have:
(44 / (44 + 15 + 29)) * 100 = 44 / 88 * 100 = 50%.
So we can expect 50% of the first 76 slices sold during lunch tomorrow to be pepperoni pizza slices, which is equivalent to:
76 slices * 50% = 38 slices
Therefore, we expect 38 of the first 76 slices sold during lunch tomorrow should be slices of pepperoni pizza.
Step-by-step explanation:
Write the algebraic expression as a phrase. $-2z+8$
Answer: Negative two times z plus eight.
Step-by-step explanation:
The expression $-2z + 8$ represents "negative two times the quantity of z plus 8". To interpret this as a phrase, we can say "8 increased by the negative of two times the quantity of z."
Your dinner in tokyo cost 10,000 Japanese yen. how much was it in u.s dollars?
ANSWER SHOULD BE ROUND TO TWO DECIMAL
Answer:
~$76.99
Step-by-step explanation:
Right now, ~¥129.89 is equivalent to $1. Your dinner costs ¥10,000. To solve, divide the total cost of your dinner with the equivalent yen price compared to the dollar:
(¥10,000)/(¥129.89) = ~76.99 (rounded to the nearest cent).
~$76.99 would be your answer.
~
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the length of a rectangle is 3 1/6 cm more longer than the width. the perimeter of the rectangle is 15 1/3 cm. what is the width and length of the rectangle?
The required width and length of the given rectangle is 25/12 cm and 63 / 12 cm.
What is a rectangle?The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.
Here,
Length = 3 1/6 + width
perimeter of the rectangle = 2[length + width]
15 1/3 = 2 [3 1/6 + width + width]
46/3 × 1/2 = 19/6 + 2 width
23 / 3 - 19 / 6 = 2 width
[46 - 19]/ 12 = width
width = 25/12 cm
Now,
Length = 25/12 + 19/6
Length = 63 / 12 cm
Thus, the required width and length of the given rectangle is 25/12 cm and 63 / 12 cm.
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A company wants to estimate the mean time it will take workers to complete a certain task. They record the times to complete the task for a random sample of 30 workers. Match the following: ____ mean time to complete a certain task for 30 workers from this company ____ all workers from this company ____ a worker from this company ____ mean time to complete a certain task for all workers from this company ____ 30 workers from this company
____ time to complete a certain task
a. sample
b. parameter
c. individual
d. variable
e. statistic
f. population
1. Mean time to complete a specific task for 30 workers from this company refers to A: sample.
2. All employees from this company are known as F: population
3. A employee from this company is called an C: individual
4. Mean time to complete a specific task for all workers from this company is said to be as B: parameter.
5. 30 employees from this company make E: statistic
6. Time to complete a specific task is called a D: variable
Brief Explaination of each Answer is Given Below:
"Sample" refers to a subset of a larger population that is selected for study. In this case, the "sample" is the 30 workers from the company whose times to complete the task have been recorded.
"Population" refers to the entire set of units or items under study. In this case, the "population" is all workers from the company.
"Individual" refers to a single unit or item in a set. In this case, an "individual" is a single worker from the company.
"Parameter" refers to a characteristic or value that describes a population. In this case, the "parameter" is the mean time it will take all workers from the company to complete the task.
"Statistic" refers to a value that describes a sample. In this case, the "mean time to complete a certain task for 30 workers from this company" is a statistic.
"Variable" refers to a value that can change within a set. In this case, "time to complete a certain task" is the variable of interest.
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A psychologist studied the number of puzzles that subjects were able to solve in a 5-minute period while listening to soothing music. Let X be the number of puzzles completed successfully by a randomly-chosen subject. The psychologist found that X had the given probability distribution.
What is the probability that a randomly chosen subject completes more than the expected number of puzzles in the 5-minute period while listening to soothing music?
answer choices
A. 0.1
B. 0.4
C. 0.8
D. 1
E. Cannot be determined
The probability that a randomly chosen subject completes more than the expected number of puzzles in the 5-minute period while listening to soothing music cannot be determined (E).
Here 'x' denotes the no. of puzzles completed by an individual within 5 minutes. Given that the probability distribution of 'x' as,
[tex]$$\begin{array}{ccccc}x: 1 & 2 & 3 & 4 \\p(x): & 0.2 & 0.4 & 0.3 & 0.1\end{array}$$[/tex]
'D' is the difference in the number of puzzles saved by two randomly selected subjects. Let [tex]X_{1}[/tex] be the number of puzzles solved by first individual and [tex]$X_2$[/tex] be the number of puzzles solved by [tex]$2^{n d}$[/tex] individual.
Then, D=[tex]X_1-X_2$[/tex] where [tex]$X_1$[/tex] and [tex]$X_2$[/tex] are independent and follow the above
[tex]$$\begin{aligned}& \therefore \text { Variance }(D)=V(D)=v\left(x_1-x_2\right) \\& =V\left(x_1\right)+v\left(x_2\right) \\& =2 \times v\left(x_1\right) \quad\left(\because v\left(x_1\right)=v\left(x_2\right)\right. \\& \text { Now, } V\left(x_1\right)=V(x)=E\left(x^2\right)-[E(x)]^2 \\& =0.2+0.8+0.9+0.4 \\& =2.3 \\&\end{aligned}$$[/tex]
[tex]$$\text { and } \begin{aligned}E\left(x^2\right) & =\sum_{R(x)} x^2 P[x=x] \\& =\sum_{x=1}^4 x^2 P[x \cdot x] \\& =\left(1^2 \times 0.2\right)+\left(2^2 \times 0.4\right)+\left(3^2 \times 0.3\right)+\left(4^2 \times 0.1\right) \\& =6.1 \\\Rightarrow V(x) & =k\left(x^2\right)-[k(x)]^2 \\& =6.1-(2.3)^2 \\& =0.81\end{aligned}$$[/tex]
[tex]$\therefore$[/tex] Variance of D,
[tex]$$\begin{aligned}V(D) & =2 \times v\left(x_1\right) \\& =2 \times 0.81=1.62\end{aligned}$$$\therefore$ Standard deviation of $D$ is,$$\sqrt{V(0)}=\sqrt{1.62} \simeq$$[/tex] 1.27.
Therefore, the probability that a randomly chosen subject completes more than the expected number of puzzles in the 5-minute period while listening to soothing music is, 1.27.
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Solve for x.
Select the correct response:
19.25
6.5
10
14
Check the picture below.
The angles of a triangle haves measures of 90°, 65°, and (x-10)°. What is the value of x?
We know that the sum of angles of a triangle are 180°
If you don't know how to find the angles of a triangle
We use the formula,
[tex](n-2)X180[/tex]
Where n replicates the sides of a polygon
Applying the sides into the formula we get
[tex](3-2)X180\\1X180\\180[/tex]
Now in order to find x we sum up all the angles into a equation
90°+ 65°+ x - 10° = 180°
145 + x = 180
We then transpose 145 to the Right Hand Side (RHS)
x = 180 - 145
x = 35°
Hence , the value of x is 35°
Can someone help me please
Answer:
[tex]r=14\mathring{}[/tex]
Step-by-step explanation:
[tex](5r-5)\mathring{}+(8r+3)\mathring{}=180\mathring{}\\5r-5+8r+3=180\mathring{}\\13r-2=180\mathring{}\\13r=180\mathring{}+2\\13r=182\mathring{}\\r=\frac{182}{13} \\\\r=14\mathring{}[/tex]
Place an operation sign between two of the digits to make the equation true.
96 2 5 8 0 7 = 8,818
Operation sign between two of the digits is 96 ÷ 2 × 5 + 8 × 0 - 7 = 8,818
What is PEMDAS theory?This question uses the Order of Operations (PEMDAS) theory.
The order of operations states that we should work through equations in the following order: Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).
In this question, the first operation was division (96 ÷ 2), followed by multiplication (48 × 5), then addition (240 + 8), then multiplication (248 × 0), and finally subtraction (0 - 7).
Step 1: 96 ÷ 2 = 48
Step 2: 48 × 5 = 240
Step 3: 240 + 8 = 248
Step 4: 248 × 0 = 0
Step 5: 0 - 7 = -7
Step 6: -7 = 8,818
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89.0 mL of a liquid is massed in a graduated cylinder. The total mass is 437.2 g. The empty graduated cylinder has a mass of 277.0 g. What is the density of the liquid?
help video
In the diagram below of triangle KLM, N is the midpoint of KM and O is the
midpoint of LM. Ifm/MKL = 61 + 9x, and m/MNO = 2x + 75, what is
the measure of ZMNO?
M
L
O
M
The measure of the angle MNO is 79 degrees
How to determine the measure of the angleThe midpoint of KM and O is also the midpoint of LM as expressed in the information given.
We have the parameters;
m/MKL = 61 + 9xm/MNO = 2x + 75Note that the midpoint of the triangle is expressed as;
m/MKL = m/MNO
Now, substitute the values, we get;
61 + 9x = 2x + 75
collect like terms
9x - 2x = 75 - 61
add or subtract the like terms
7x = 14
Now, divide both sides by the coefficient of x, we get;
7x/7 = 14/7
Divide the values
x = 2
Substitute the value into the expression
m/MNO = 2x + 75
m/MNO = 2(2) + 75
expand the bracket
m/MNO = 79
Hence, the value is 79
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