Solution
For this case we have the following info:
V1= 3.61 L, P1= 1.23 atm
P2= 4.47 atm
We can assume that the T is constant so we can do this:
P1 V1 T2= P2 V2 T1
Therefore
P1 V1 = P2 V2
Solving for V2 we got:
V2= (P1 V1) /P2 = (1.23 atm* 3.61 L)/ 4.47 atm = 0.99 L
The space club is printing posters for an upcoming competition. The
printer charges $200 plus $2 for every poster. How many posters can be
printed for $950?
Answer:
375 posters can be printed for $950
Step-by-step explanation:
First, create an equation. X = number of posters: 200+2x=950
Second, subtract 200 from both sides to get an equation of: 2x=750
Third, divide 2 on both sides to get: x = 375
Find the lowest common denominator for the following pairs of fractions 2/6 and 3/4.
A6
B10
C12
D16
Answer:
12
Step-by-step explanation:
find the L.C.M. of 6 and 4
6=2×3
4=2×2
L.C.M.=2×2×3=12
Kim's softball team was playing in the championship game. When there were 4 innings left, the team was losing by a score of 17 to 6 runs. In the last 4 innings, her team scored the same number of runs per inning, and the other team did not score any more runs. Kim's team won with the most runs. Write an inequality to determine the number of runs per inning, p, Kim's team could have scored.
The number of runs per inning that Kim's team could have scored to win the game would be greater than 11/8.
Let's suppose that in the final four innings, Kim's squad scored "p" runs on average. In that case, Kim's side would have scored a total of:
(Number of innings) x (Total runs scored by Kim's side) (Number of runs per inning)
Kim's squad scored 6 runs in the first 4 innings, so there were a total of the following runs scored by her team:
Six runs were scored by Kim's squad in the first four innings.
The total number of innings in the game would be 8, as there were still 4 innings to play. As a result, Kim's squad scored a total of runs during the entire game, which is:
Eight innings times the number of runs per inning is eight runs for Kim's team overall.
Kim's team ended up winning the game with the most runs. The total runs scored by her team must therefore be higher than the total runs scored by the opposing team. The opposing team scored 17 runs in the first four innings and none more in the following four. The total runs scored by the opposition would therefore be as follows:
The other team scored a total of 17 runs.
Combining everything, we may represent the inequality as follows:
Total runs scored by Kim's team surpasses all other teams' total runs.
8p + 6 > 17
When we reduce the inequality, we obtain:
8p > 11
When we multiply both sides by 8, we get:
p > 11/8
In order to win the game, Kim's squad would have needed to score more runs per inning than 11/8.
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Answer:
6+4p>17
Kim's team scored a minimum of
3 runs per inning.
Step-by-step explanation: Khan Academy
#1 (7.6)
ABXC is a right triangle where mzXBC-90°, mzCXB-60°, and XB-5. Determine the length
of each side. Leave your answer as an exact answer.
1. Draw the triangle and label the given parts
2. Identify side types:
30-60-90 has hypotenuse, short, long
45-45-90 has hypotenuse, leg, leg
3. Write the formulas for the special right triangle. Plug in your values and solve.
To enter a square root answer, type the number outside and the number inside using the two
boxes provided. For example, 7√2 would look like 7
Length
Side
CB (long)
XB (hypotenuse)
The the length of each side of the triangle are: 5 units, 8.7 units and 10 units respective
What is a triangle?A triangle is a polygon with three sides, three angles, three vertices and sum of angles equal to 180 degrees
From the triangle, Using the trigonometric ratio of sine
Sin C = opposite/Hypothenuse
Sin30 = 5/H
Making h the subject of the relation we have
h= 5/sin30
h=5/0.5
Therefore the value of h=10 units
To find the third side use Pythagoras theorem
10² = 5²+p²
100-25 = p²
75 = p²
Taking the square of both sides
p=√75
p=8.7 units
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what is the parallelogram base b?
Answer:
10
Step-by-step explanation:
The area if a parallelogram is given by the equation, Area = base * height
In this case, area = 200, and the actual height = 20
So, let's say the base is x
Plug these values in to the Area equation
200 = 20 * x
200 = 20x
Divide both sides by 20 to get x alone
200 / 20 = 20x / 20
10 = x
The base is 10
Answer the triangle
Answer:
the unanswered side is 3
Step-by-step explanation:
5^2(25)-4^2(16)=9
9=3^2
Carns Company is considering eliminating its Small Tools Division, which reported a loss for the prior year of $205,000 as shown below. Segment Income (Loss) Sales $ 1,430,000 Variable costs 1,295,000 Contribution margin 135,000 Fixed costs 340,000 Income (loss) $ (205,000) If the Small Tools Division is dropped, all of its variable costs are avoidable, and $119,000 of its fixed costs are avoidable. The impact on Carns’s income from eliminating the Small Tools Division would be: Multiple Choice
The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.
To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.
The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.
To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:
Impact on income = Loss - Avoidable costs
Impact on income = $205,000 - ($1,295,000 + $119,000)
Impact on income = $205,000 - $1,414,000
Impact on income = -$1,209,000
The negative sign indicates a decrease in income.
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HELP ME ITS DUE TODAY!!!!! The scores earned in a flower-growing competition are represented in the stem-and-leaf plot.
1 7, 9
2 1, 5, 9
3 0, 1, 2
4 6, 9
Key: 2|1 means 21
What is the appropriate measure of variability for the data shown, and what is its value?
The IQR is the best measure of variability, and it equals 32.
The range is the best measure of variability, and it equals 11.
The IQR is the best measure of variability, and it equals 11.
The range is the best measure of variability, and it equals 32.
Answer:
The answer to your problem is, D. The range is the best measure of variability, and it equals 32.
Step-by-step explanation:
We know the scores earned in a flower-growing competition are represented in the stem-and-leaf plot.
1 7, 92 1, 5, 93 0, 1, 24 6, 9The key will equal 2|1 means 21
Which we conclude to 17, 19, 21, 25, 29, 30, 31, 32, 46, 49.
Quartile:
Quartile 1, Q1 = 21Quartile 2, Q2 = 29.5Quartile 3, Q3 = 32Third Quartile, Q3 = 32Median, Minimum, Maximum, & Range:
Median, Q2 = 29.5Minimum, Min = 17Maximum, Max = 49Range, R = 32Thus the answer to your problem is, D. The range is the best measure of variability, and it equals 32.
Determine if the graphs of each pair of equations are parallel or perpendicular
y=−4x−12
4x+y=3
Answer:
they are parallel to each other, use desmos graphing calculator, that thing is GOAT
Step-by-step explanation:
A person places $7120 in an investment account earning an annual rate of 7.4%, compounded continuously. Using the formula V = Pe^rt where V is the value of the account in t years, P is the principal initially invested, e is the base of a natural logarithm, and r is the rate of interest, determine the amount of money, to the nearest cent, in the account after 11 years.
Answer:
16069.25
Just know that
P=Is the first number in the word prob.
R=the second number (percentage one) which you get into decimal form
T=the last number in the word problem
1. Are the following events mutually exclusive?
Event A: Randomly selecting a male student at Riverdale High School.
Event B: Randomly selecting a member of the football team at Riverdale High School.
a. No, these are not mutually exclusive events
b. Yes, these are mutually exclusive events.
2. Use the Multiplication Rule to find the probability: The probability of a kidney transplant surgery is successful is 0.775. Find the probability of at least one surgery, out of 3, will be successful.
a. 0.997
b. 0.465
c. 0.535
d. 0.989
Answer:
Step-by-step explanation:
a. No, these are not mutually exclusive events because it is possible for a male student at Riverdale High School to be a member of the football team.
Using the Multiplication Rule, we can find the probability of at least one successful surgery out of three surgeries as follows:
P(at least one successful surgery) = 1 - P(no successful surgeries)
To find the probability of no successful surgeries, we use the complement rule and multiply the probabilities of three unsuccessful surgeries:
P(no successful surgeries) = 0.225 x 0.225 x 0.225 = 0.011390625
Therefore, the probability of at least one successful surgery out of three surgeries is:
P(at least one successful surgery) = 1 - 0.011390625 = 0.988609375
So, the answer is d. 0.989 (rounded to three decimal places).
An Annuity Immediate Has 32 Initial Quarterly Payments Of 20 Followed By A Perpetuity Of Quarterly Payments Of 25 Starting In The 9th Year. Find The Present Value At A Nominal Rate Of 16%
The present value of the nominal rate of the annuity will be $535.
How to calculate the annuity?Annuity amount = 20
Number of annuities = 32
APR = 16%
PV of annuities = 357
Number of years to perpetuity = 8
Quarterly perpetuity = 25
PV of perpetuity at 9th year = 625
PV of perpetuity today = 178
Total PV = 357 + 178 = 535
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Compute the matrix of partial derivatives of the following functions.
(a) f(x, y) = (ex, sin(xy)) Drx, y) =
(b) f(x, y, z) = (x-y, y + z) Df(x, y, z) =
(c) f(x, y)-(xy, x - y, xy) Df(x, y) =
(d) rx, y, z) = (x + z, y-42, x-y) Df(x, y, z) =
For a vector-valued function
\(\mathbf f(\mathbf x)=\mathbf f(x_1,x_2,\ldots,x_n)=(f_1(x_1,x_2,\ldots,x_n),\ldots,f_m(x_1,x_2,\ldots,x_n))\)
the matrix of partial derivatives (a.k.a. the Jacobian) is the \(m\times n\) matrix in which the \((i,j)\)-th entry is the derivative of \(f_i\) with respect to \(x_j\):
\(D\mathbf f(\mathbf x)=\begin{bmatrix}\dfrac{\partial f_1}{\partial x_1}&\dfrac{\partial f_1}{\partial x_2}&\cdots&\dfrac{\partial f_1}{\partial x_n}\\\dfrac{\partial f_2}{\partial x_1}&\dfrac{\partial f_2}{\partial x_2}&\cdots&\dfrac{\partial f_2}{\partial x_n}\\\vdots&\vdots&\ddots&\vdots\\\dfrac{\partial f_m}{\partial x_1}&\dfrac{\partial f_m}{\partial x_2}&\cdots&\dfrac{\partial f_n}{\partial x_n}\end{bmatrix}\)
So we have
(a)
\(D f(x,y)=\begin{bmatrix}\dfrac{\partial(e^x)}{\partial x}&\dfrac{\partial(e^x)}{\partial y}\\\dfrac{\partial(\sin(xy))}{\partial x}&\dfrac{\partial(\sin(xy))}{\partial y}\end{bmatrix}=\begin{bmatrix}e^x&0\\y\cos(xy)&x\cos(xy)\end{bmatrix}\)
(b)
\(D f(x,y,z)=\begin{bmatrix}\dfrac{\partial(x-y)}{\partial x}&\dfrac{\partial(x-y)}{\partial y}&\dfrac{\partial(x-y)}{\partial z}\\\dfrac{\partial(y+z)}{\partial x}&\dfrac{\partial(y+z)}{\partial y}&\dfrac{\partial(y+z)}{\partial z}\end{bmatrix}=\begin{bmatrix}1&-1&0\\0&1&1\end{bmatrix}\)
(c)
\(Df(x,y)=\begin{bmatrix}y&x\\1&-1\\y&x\end{bmatrix}\)
(d)
\(Df(x,y,z)=\begin{bmatrix}1&0&1\\0&1&0\\1&-1&0\end{bmatrix}\)
Question
From a point P on a level ground and directly west of a pole, the angle of elevation of the top of the pole is 45° and from point Q east of the pole, the angle of elevation of the top of the pole is 58°. If |PQ|= 10m, calculate, correct to 2 significant figures, the:
a) distance from P to the pole;
b) height of the pole.
a) The distance from point P to the pole is: 6.2 m
b) The height of the Pole is: 6.2 m
How to find the distance and height from angle of elevation?The triangle attached shows us the triangle formed as a result of the given word problem about angle of elevation and distance and height.
Now, we are given that:
The angle of elevation of the top of the pole = 45°
Angle of elevation of the top of the pole = 58°.
|PQ|= 10m
a) PR is distance from point P to the pole and using trigonometric ratios, gives us:
PR/sin 58 = 10/sin(180 - 58 - 45)
PR/sin 58 = 10/sin 77
PR = (10 * sin 58)/sin 77
PR = 8.7 m
b) P O can be calculated with trigonometric ratios as:
P O = PR * cos 45
P O = 8.7 * 0.7071
P O = 6.2 m
Now, the two sides of the isosceles triangle formed are equal and as such:
R O = P O
Thus, height of pole R O = 6.2 m
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1kg -450 g= how much g
Answer:
550g
Step-by-step explanation:
1kg -450 g=
Convert 1kg to grams
1kg = 1000g
1kg -450 g=
1000g - 450g
550 g
Hence the required answer is 550g
Please HELP!!!
Will give 15 points!!
For a test that’s due today!!
Answer:
A
Step-by-step explanation:
For a right triangle
\(A=\frac{ab}{2} \\\frac{(10.4)(15.3)}{2} =79.56\)
This is the same as the other triangle because they are the same size because of congruency
Area of the rectangle
\(a^2+b^2=c^2\\\)
\(\sqrt{(10.4^2+15.3^2} =c\)
\(c= 18.5\)
18.5 x 7 = 129.5
Add them all up
129.5+79.56+79.56= 288.62
A used book store also started selling used CDs and videos. In the first week, the store sold a combination of 40 CDs and videos. They charged $4 per CD and $6 per video and the total sales were $184. Determine the total number of CDs and videos sold.
Answer:
28 CD and 12 Video
Step-by-step explanation:
6 (x) + 4 (y) = 184
6 (28) + 4 (12) =184
168 + 48 = 184
Is this rational or irrational I really need help ASAP! Will mark brainlist.
Answer:
rational
Step-by-step explanation:
the square root of 1 is 1 and it terminates
-9(m + 2) + 406 - 7m)
Answer:
-9(m+2)+406-7m)
=-16+388
Dominic earns $15 an hour working at a movie theater. last week he worked h hour at the concession stand and three times as many hours at the ticket counter. how much did Dominic earn last week
Answer:st week he worked h hours at the concession stand and three times as many hours at the ticket ... How much did he make before the raise? ... Alice earns 1.5 times her hourly rate for each hour she works after 40 hours in a week. ... Dominic earns $18 an hour plus $25 an hour for every hour of overtime.
Step-by-step explanation:
Professor A.B.C company opens his own company, Electronic Tutorial Services, and completes the following transactions in June:
6/1 A.B.C company invests 20,000 in the business.
6/3 Purchased 12,100 of equipment.
6/4 Paid 220 premium for an insurance policy.
6/6 Purchased office supplies on Account 140.
6/9 Purchased a new computer for 9,000. Paid 40% cash agreed to pay the remainder Later.
6/10 Billed student Omar 58 for tutorial services that were performed.
6/14 Paid for the supplies purchased on June 6th.
6/15 the owner suggested to purchased new Building for his company by 22,000
6/25 Received 85 cash from student Salim Ali for tutorial services performed.
6/30 Student billed on June 10 pays the amount due to A.B.C company.
6/30 A.B.C company withdraws 60 for personal use.
Required: Prepare the all Accounting Cycles
In June, A.B.C company invested $20,000, purchased equipment, paid insurance premium, bought office supplies, billed students for tutorial services, received cash, paid for supplies, withdrew personal funds.
Accounting Cycles:
1. June 1:
- A.B.C company invests $20,000 in the business.
- Prepare the journal entry:
- Debit: Cash ($20,000)
- Credit: Capital ($20,000)
2. June 3:
- Purchased equipment for $12,100.
- Prepare the journal entry:
- Debit: Equipment ($12,100)
- Credit: Cash ($12,100)
3. June 4:
- Paid $220 premium for an insurance policy.
- Prepare the journal entry:
- Debit: Insurance Expense ($220)
- Credit: Cash ($220)
4. June 6:
- Purchased office supplies on account for $140.
- Prepare the journal entry:
- Debit: Office Supplies ($140)
- Credit: Accounts Payable ($140)
5. June 9:
- Purchased a new computer for $9,000. Paid 40% in cash and agreed to pay the remainder later.
- Prepare the journal entry for the cash payment:
- Debit: Computer ($3,600) [40% of $9,000]
- Credit: Cash ($3,600)
- Prepare the journal entry for the remaining amount:
- Debit: Computer ($5,400)
- Credit: Accounts Payable ($5,400)
6. June 10:
- Billed student Omar $58 for tutorial services performed.
- Prepare the journal entry:
- Debit: Accounts Receivable ($58)
- Credit: Tutorial Services Revenue ($58)
7. June 14:
- Paid for the supplies purchased on June 6th ($140).
- Prepare the journal entry:
- Debit: Accounts Payable ($140)
- Credit: Cash ($140)
8. June 15:
- The owner suggested purchasing a new building for the company for $22,000.
- No journal entry is required at this point. It is a decision made by the owner.
9. June 25:
- Received $85 cash from student Salim Ali for tutorial services performed.
- Prepare the journal entry:
- Debit: Cash ($85)
- Credit: Accounts Receivable ($85)
10. June 30:
- Student billed on June 10 pays the amount due ($58).
- Prepare the journal entry:
- Debit: Cash ($58)
- Credit: Accounts Receivable ($58)
11. June 30:
- A.B.C company withdraws $60 for personal use.
- Prepare the journal entry:
- Debit: Withdrawals ($60)
- Credit: Cash ($60)
These transactions represent the accounting cycles for the given period.
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Refer to trapezoi EFGH WITH MEDIAN IJ if IJ=X,Hg=8 abd EF=12 what is the value of x
Answer:
x = 10
Step-by-step explanation:
A trapezoid is a quadrilateral with one pair of parallel sides.
The median of a trapezoid connects the midpoint of the non-parallel sides.
IJ is the median of the trapezoid. I is the midpoint of EH, and J is the midpoint of GF.
Also, the median of a trapezoid is also parallel to the parallel sides. IJ║ HG║ EF.
(The proof of this is extensive and requires drawing additional lines such as HJ and extending EF further until HJ and EF intersect at another point, Y. It is given as the other diagram. You also need prior knowledge of the midsegment of a triangle.)
The measure of the midsegment of a trapezoid, by definition, is also equal to the average of the measure of the parallel segments.
In the figure,
\(IJ=\dfrac{(HG+EF)}{2}\)
Substituting the values we have, HG = 8, EF = 12 gives us:
\(IJ=\dfrac{(HG+EF)}{2}\)
\(IJ=\dfrac{(8+12)}{2}\)
\(IJ=\dfrac{20}{2}\)
\(IJ=10\)
IJ is 10 units.
In a survey of 2,800 people who owned a certain type of car, 1,820 said they would buy
that type of car again. What percent of the people surveyed were satisfied with the car?
Answer:
65%
Step-by-step explanation:
We will find the percentage of people by dividing the amount of people who were satisfied by the total amount of people surveyed.
1820 / 2800 = 0.65
Then we convert this number into percentage by multiplying it by 100
0.65 * 100 = 65
Answer:
65%
Step-by-step explanation:
You need to convert 1820/2800 to decimal first.
That equals 0.65. 0.65 is equivalent to 65%.
Hope this helps!
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lender requires a minimum down payment of 18% of the value of the home. You have $29,000 cash available to use as a down payment toward a home. Determine the maximum home value that you can finance.
The maximum home value that can be financed is approximately $35,365.85.
Let's represent the maximum home value that can be financed by H.
If the minimum down payment is 18%, the amount financed is 100% - 18% = 82%.
Therefore, we have:
H × 82% = $29,000
Multiplying both sides by (1/82%), we get:
H = $29,000 / 82%
= $35,365.85
Hence, the maximum home value that can be financed is approximately $35,365.85.
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(x4+y3)9 third term in expansion
Answer:
27y+36x
Step-by-step explanation:
Suppose the function h(x) = 2x - 9 is translated up 5 units to become a new function,
Xx). What's the equation of the new function?
A) x) = 7x-4
B)(x) = 2x - 14
C)(x) = 7x-9
D) (x)=2x-4
According to the given data the equation of the new function is (D) f(x) = 2x - 4.
What is meant by equation?An equation is a mathematical statement that indicates that two expressions are equal. It contains an equals sign "=" and may involve variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponentiation, etc.
According to the given information:If we translate the function h(x) = 2x - 9 up by 5 units, the new function f(x) will have the form:
f(x) = h(x) + 5
Substituting the definition of h(x) into this equation, we get:
f(x) = 2x - 9 + 5
Simplifying, we have:
f(x) = 2x - 4
Therefore, the equation of the new function is (D) f(x) = 2x - 4.
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100 Points! Algebra question. Photo attached. Please show as much work as possible. Thank you!
A. The comparison of the periods using the five number summary are
The 3rd Period has lower minimum and higher maximumThe quartiles shows that 7th period is less spreadThe 3rd Period has a lower medianB. The box and whisker plot of the periods is attached
A. How to compare the distributions of the periodsThe readings of the periods are given as
7th Period: 66, 72, 77, 78, 78, 80, 82, 84, 84, 87, 88, 88, 89, 89, 90 92, 92, 93, 94, 94 96, 963rd Period: 52, 60, 62, 64, 64, 65, 68, 71, 72, 74, 75, 76, 78, 79, 83, 84, 85, 88, 89, 93, 94, 97The distributions of the periods will be compared using the five-number summaries. This is because the five-number summaries give the following statistical measurements
MinimumLower Quartile, Q1MedianUpper Quartile, Q3MaximumFor the 7th Period, the summaries are
Minimum: 66Lower Quartile Q1: 79.5Median: 88Upper Quartile Q3: 92.25Maximum: 96For the 3rd Period, the summaries are
Minimum: 52Lower Quartile Q1: 64.75Median: 75.5Upper Quartile Q3: 85.75Maximum: 97B. How to create a box and whisker plot of the periodsThe box and whisker plot of the periods is added as an attachment
From the box and whisker plot attached, we can see the five-number summaries of the periods
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A cone has a diameter of 16 cm and a height of 35 cm. What is its volume?
Answer: if with 3.14 v= 37512.5333
if with pi v= 37531.56
Step-by-step explanation:
the formula is 1/3hπr^2
r= 2d so radius is 32
plus numbers in (square it multiple times pi or 3.14 then multiply times height and divide by 3)
help pls you get 27 points
Which inequality is true?
A. [5] < [-3]
B. [2] < [-4]
C. [-5] < [-3]
D. [-4] < [-2]
Answer:
C. [-5] < [-3] || D. [-4] < [-2]
Step-by-step explanation:
in A. 5 should be greater, > than -3
in B. 2 should be greater, > than -4
in C. its correct answer. true statement.
in D. its correct answer. true statement.
Sixty-four students voted for Morgan. Two times as many students voted for Whitney. How many students voted altogether?
A total of 192 students voted altogether.
What is an addition operation?In addition, items are combined and counted as a single large group. The process of adding two or more numbers together is known as an addition in mathematics. The terms "addends" and "sum" refer to the numbers that are added and the result of the operation, respectively.
Given:
The number of students who voted for Morgan = 64.
Let the number of students who voted for Whitney = n.
According to the question,
n = 2 times the number of students who voted for Morgan
n = 2 x 64
n = 128.
The total number of students who voted = 64 + 128
The total number of students who voted = 192.
Therefore, the required number of votes is 128.
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