f) 16 - p = 12
g) 18 - 2p = 6
h)p2+ 4 = 9
i)p4- 3 = 1
**MUST SHOW YOUR WORK**
Answers
4 - p = 0 plus p
p = 4
g) 18 - 2p = 6 divide by -2
-9 + p = -3 plus 9
p = 6
h) p x 2 + 4 = 9 divided by 2
p + 2 = 4.5 minus 2
p = 2.5
i) p x 4 - 3 = 1 plus 3
p x 4 = 4 divided by 4
p = 1
Related Questions
The cost of the hiking trip is 2/3 of the cost of last years trip this year trip cost $32 write and solve an equation to find the cost of last years trip
Answers
Answer:
(32/2)*3=48
Step-by-step explanation:
In order to find the answer, we must find one third of last year's trip. To do this, we can simply divide the cost of this years trip by two, 32/2=16.
Now if we multiply this this number by 3, 16*3=48, we can see that the total cost of last year's trip was $48.
If we'd like to turn this into one equation, it looks like this: (32/2)*3=48
the mayor of a small city is trying to determine the number of judges needed to handle the judicial caseload. during each month of the year it is estimated that the number of judicial hours needed is provided in the table below. a). each judge works all 12 months and can handle as many as 120 hours per month caseload. to avoid creating a backlog all cases must be handled by the end of december. formulate an lp whose solution will determine how many judges the city needs to handle the caseload for the year.
Answers
Total hours handled by x judges in the year ≤ 12120x where x is the number of judges needed to handle the caseload for the year.
To formulate an LP for this problem, we can define the decision variables and the objective function and constraints.
Decision Variables:
Let x be the number of judges needed by the city to handle the caseload for the year.
Objective Function:
We want to minimize the number of judges needed, so our objective function is:
minimize x
Constraints:
Each judge can handle up to 120 hours of caseload per month, so the total number of hours that can be handled by x judges in a month is 120x. The total number of hours needed to handle the caseload for the year is given in the table. Therefore, we have the following constraints:
For January: 120x ≥ 100
For February: 120x ≥ 120
For March: 120x ≥ 90
For April: 120x ≥ 80
For May: 120x ≥ 110
For June: 120x ≥ 130
For July: 120x ≥ 140
For August: 120x ≥ 110
For September: 120x ≥ 100
For October: 120x ≥ 90
For November: 120x ≥ 80
For December: 120x ≥ 120
These constraints ensure that the total number of hours handled by the judges in each month is at least as much as the number of hours needed to handle the caseload in that month.
We also need to ensure that all cases are handled by the end of December. This can be expressed as follows:
Total hours handled by x judges in the year ≤ 12120x
This constraint ensures that the total number of hours handled by the judges in the year is less than or equal to the maximum possible number of hours that can be handled by x judges in a year.
Therefore, the LP can be formulated as follows:
minimize x
subject to:
120x ≥ 100
120x ≥ 120
120x ≥ 90
120x ≥ 80
120x ≥ 110
120x ≥ 130
120x ≥ 140
120x ≥ 110
120x ≥ 100
120x ≥ 90
120x ≥ 80
120x ≥ 120
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Use the four-step procedure for solving the following variation problem
The height that a ball bounces varies directly as the height from which it was dropped. A tennis ball dropped from 14 inches bounces 8.4 inches. From what height was the tennis ball dropped if it bounces
42 inches?
The tennis ball needs to be dropped from the height of
(Type an integer or a decimal)
so that it bounces 42 inches.
9
Answers
Height was the tennis ball dropped if it bounces 42 inches is 0.7 inch.
What do you understand by direct proportionality?
If two quantities are directly proportional, it means that when one quantity increases at a certain rate, the other quantity also increases at the same rate up to a constant value. It is represented by the proportional symbol ∝.
Let the height of the ball bounces be h
The height of the ball drobbed from be y
It is given that the height that a ball bounces varies directly as the height from which it was dropped.
⇒ h ∝ y
⇒ h = ky where k is the constant of proportionality.
It is given that a tennis ball dropped from 14 inches.
⇒ y = 14 inches
Tennis ball bounces back to 8.4 inches.
⇒ h = 8.4 inches
⇒ 8.4 = k × 14
⇒ k = 8.4/14 = 0.6
Now, tennis ball dropped from 42 inches
y = 42
⇒ h = 42 × 0.6 = 0.7
Therefore, height was the tennis ball dropped if it bounces
42 inches is 0.7 inch.
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: Find a basis for the eigenspace corresponding to each listed eigenvalue of A below. 11 2 = 1,2 A = A basis for the eigenspace corresponding to 2 = 1 is { (Use a comma to separate answers as needed.) }. A basis for the eigenspace corresponding to 2 = 2 is { (Use a comma to separate answers as needed.) }.
Answers
a basis for the eigenspace corresponding to the eigenvalue λ = 1 is { [4, -2] }, and a basis for the eigenspace corresponding to the eigenvalue λ = 2 is { [0, 0] }.
To find a basis for the eigenspace corresponding to each listed eigenvalue of matrix A, we need to solve the system (A - λI)v = 0, where A is the given matrix, λ is the eigenvalue, I is the identity matrix, and v is a non-zero vector in the eigenspace.
Given the matrix A = [[11, 2], [1, 2]], we will find the eigenspaces corresponding to the eigenvalues λ = 1 and λ = 2.
1) For λ = 1:
We need to solve the equation (A - λI)v = 0.
Substituting λ = 1 and I as the 2x2 identity matrix, we have:
(A - I)v = 0
[[11, 2], [1, 2]] - [[1, 0], [0, 1]] = [[10, 2], [1, 1]]v = 0
To find the basis for the eigenspace corresponding to λ = 1, we need to solve the homogeneous system of equations:
10v₁ + 2v₂ = 0
v₁ + v₂ = 0
One solution to this system is v = [2, -1]. However, since we want a basis (more than one vector), we can multiply this solution by any non-zero scalar. Let's multiply by 2:
v₁ = 4, v₂ = -2
Therefore, a basis for the eigenspace corresponding to λ = 1 is { [4, -2] }.
2) For λ = 2:
We need to solve the equation (A - λI)v = 0.
Substituting λ = 2 and I as the 2x2 identity matrix, we have:
(A - I)v = 0
[[11, 2], [1, 2]] - [[2, 0], [0, 2]] = [[9, 2], [1, 0]]v = 0
To find the basis for the eigenspace corresponding to λ = 2, we need to solve the homogeneous system of equations:
9v₁ + 2v₂ = 0
v₁ = 0
From the first equation, we can see that v₁ = 0. Substituting this into the second equation, we have v₂ = 0 as well.
Therefore, a basis for the eigenspace corresponding to λ = 2 is { [0, 0] }.
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3. On a map of the northeast United States, the map scale says that 1 centimeters = 5
miles. The distance shown on the map between New York City and Buffalo is 58 cm.
What is the actual distance between the two cities?
Answers
Answer:
290 Miles
Step-by-step explanation:
Take your 58cm, as we were told 1cm equals 5 miles.
We can time 58 by 5 which gives you 290 Miles.
I need help with all of em please
Answers
Answer:5/4
Step-by-step explanation: i think this is the answer
Answer:
The area is 30 units squared, the perimeter is 17 units, and the answer to the question below is 9
Step-by-step explanation:
certain forest covers an area of 3000 km^2. suppose that each year this area decreases by 5.75%. what will the area be after 7 year
Answers
Answer:
Below
Step-by-step explanation:
Loss of 5.75% means ( 1 - .0575) remains after each year
After 7 years, this much will remain:
3000 km^2 * ( 1-.0575)^7 = 1981.9 km^2
A spring with a mass of 2 kg has natural length 0.5 m. A force of 25.6 N is required to maintain it stretched to a length of 0.7 m. If the spring is stretched to a length of 0.7 m and then released with initial velocity 0, find the position of the mass at any time. The equation of motion for mass spring system is m d²x/dt² + cx = 0; 0 ≤ t ≤ 1Where k is given by Hooke's law F = cx. Use Runge Kutta 4th Order to find the displacement and velocity at t = 0.1 seconds.
Answers
The displacement and velocity of the mass at t = 0.1 seconds using Runge Kutta 4th Order method is x = -0.039 m and v = -0.651 m/s.
To solve the given differential equation using Runge Kutta 4th Order method, we first need to express it as a system of first-order differential equations.
Let v be the velocity of the mass at time t, then the given differential equation can be written as a system of first-order differential equations as follows:
dx/dt = v
dv/dt = -(c/m)x
where c is the spring constant and m is the mass of the spring.
To solve the system using Runge Kutta 4th Order method, we need to define the initial conditions. In this case, the initial displacement x(0) = 0.2 m and the initial velocity v(0) = 0.
Next, we can use the following formulas to compute the values of x and v at t = 0.1 seconds:
k1x = h*v
k1v = -(c/m)*x
k2x = h*(v + k1v/2)
k2v = -(c/m)*(x + k1x/2)
k3x = h*(v + k2v/2)
k3v = -(c/m)*(x + k2x/2)
k4x = h*(v + k3v)
k4v = -(c/m)*(x + k3x)
x(0.1) = x(0) + (k1x + 2k2x + 2k3x + k4x)/6
v(0.1) = v(0) + (k1v + 2k2v + 2k3v + k4v)/6
Substituting the given values of m, c, x(0) and v(0), we get x(0.1) = -0.039 m and v(0.1) = -0.651 m/s. Therefore, the displacement and velocity of the mass at t = 0.1 seconds using Runge Kutta 4th Order method is x = -0.039 m and v = -0.651 m/s.
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Please help me I'm stuck. I will give 30 points for this one. Given triangle ABC tilde triangle PQR and your scale factor Complete the hotspots for these similar triangles and show work
Answers
The value for the hotspots of the similar triangles ∆ABC and ∆PWR are:
(1). angle B = 68°
(2). PQ = 5cm
(3). BC = 19.5cm
(4). area of ∆PQR = 30cm²
What are similar trianglesSimilar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.
(1). angle B = 180 - (22 + 90) {sum of interior angles of a triangle}
angle B = 68°
Given that the triangle ∆ABC is similar to the triangle ∆PQR.
(2). PQ/7.5cm = 12cm/18cm
PQ = (12cm × 7.5cm)/18cm {cross multiplication}
PQ = 5cm
(3). 13cm/BC = 12cm/18cm
BC = (13cm × 18cm)/12cm {cross multiplication}
BC = 19.5cm
(4). area of ∆PQR = 1/2 × 12cm × 5cm
area of ∆PQR = 6cm × 5cm
area of ∆PQR = 30cm²
Therefore, the value for the hotspots of the similar triangles ∆ABC and ∆PWR are:
(1). angle B = 68°
(2). PQ = 5cm
(3). BC = 19.5cm
(4). area of ∆PQR = 30cm²
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The coordinates of point T are (0,4). The midpoint of ST is (7.-8). Find the coordinates of point S.
Answers
Answer:
S is (14, -20).
Step-by-step explanation:
Let the coordinates of S be (x, y), then:
(x + 0) /2 = 7
---> x = 14.
(y + 4)/2 = -8
---> x + 4 = -16
---> x = -20.
Classify the pair of angles.
one is 55 and one is 35
Answers
Answer:
they are acute angles because the angles are less than 90. sorry if I'm wrong you should put the different answer so we could give you the best answer
Step-by-step explanation:
Instructions: Find the length of the missing sides.
I WILL GIVE A BRAINIST !!
please explain how to do this
Answers
Answer:
y = 8sqr3,
x = 4sqr3
Step-by-step explanation:
Use SOH CAH TOA, to solve this.
Here I know the opposite, so I could use either SOH either TOA or both to find the 2 unknowns.
To find y, I would use SOH, which is Sin(angle) = opposite/hypotenuse.
When I rearrange it, I get opposite/Sin(angle) = hypotenuse.
Now let's fill in with the values to give:
12/sin(60) = 8sqr3
And then to find x, let's use TOA, which is Tan(angle) = opposite/adjacent.
Rearrange it to get opposite/Tan(angle) = adjacent. This gives us a side x with a value of:
12/tan(60) = 4sqr3
I Cant find out what it is can someone help me and explain to me i got 13 but i dont know if its right
Answers
Answer:
it is 13
Step-by-step explanation:
I found my answer
denclue is founded on a solid mathematical model for finding density attractors in the dataset under analysis
Answers
DenClue is founded on a solid mathematical model for finding density attractors in the dataset under analysis.
DenClue (Density-based Clustering) is a clustering algorithm that aims to identify dense regions in a dataset, known as density attractors. The algorithm is based on a solid mathematical model that enables the detection of these density attractors.
The mathematical model used in DenClue is rooted in the concept of density estimation. It employs a kernel density estimation technique, where each data point contributes to the estimation of the underlying density function. The density function describes the distribution of data points in the dataset.
By analyzing the density function, DenClue identifies regions with high density as density attractors. These attractors represent clusters or groups of data points that are tightly packed together, indicating significant patterns or structures within the dataset.
The mathematical model utilized in DenClue ensures that the algorithm is based on rigorous mathematical principles and statistical analysis. This foundation allows for accurate and reliable identification of density attractors, leading to effective clustering of the dataset.
Overall, the solid mathematical model underlying DenClue provides a robust framework for density-based clustering, facilitating the exploration and understanding of complex datasets by revealing meaningful patterns and structures through the identification of density attractors.
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a question posted on the lycos web site on june 18, 2000 asked visitors to the site to say whether they thought that marijuana should be legally available for medicinal purposes. what is the most likely issue with the sample they collected?
Answers
The most likely problem with the sample they gathered to determine whether they believed marijuana should be lawfully available for medical uses has to do with the survey's likelihood of being "biased".
Defined the term biased survey?This phrase describes the different factors and biases that may affect survey results. Either biased responses are deliberate or unintentional, they make survey results less valuable because they are erroneous.With participant surveys that ask for self-reporting, this might become a specific problem.Any survey's bias response is crucial since it determines the validity of the data, so preventing bias is absolutely necessary if you want insightful survey responses.Among the most prevalent types is leading bias. As an illustration, consider the scenario in which your question concerns customer happiness and the response alternatives are Very Satisfied, Satisfied, and Dissatisfied. Results in this case may be affected by bias.Thus, the most likely problem with the sample lycos web site gathered to determine whether they believed marijuana should be lawfully available for medical uses has to do with the survey's likelihood of being "biased".
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a box contains 7 red and 3 green balls. two balls are drawn one after another from the box. determine the probability that both are red
Answers
Red: 7/10
Green: 3/10
On the red branch R and G
R: 6/9
G: 3/9
Why is the 9 there is because it minus off from the first brach causing the number to be 10-1=9
Why in R is 6? (Because its also -1)
But why G is not deducted? (Because the first branch doesn’t have green as it is red)
For the green branch R and G branch out again
R: 7/9
G: 2/9
So the probability of both that are red is:
P(both is red) = 7/10 x 6/9 (refer to legend)
Colton sold a total of 28 t-shirts and sweatshirts as part of a fundraiser for his football team. If t-shirts cost $12 each and sweatshirts cost $20 each and he raised a total of $424, how many †-shirts did he sell?
Answers
i need points
Step-by-step explanation:
Sakura speaks 150 words per minute on average in Hungarian, and 190 words per minute on average in Polish. She once gave cooking instructions in Hungarian, followed by cleaning instructions in Polish. Sakura spent 5 minutes total giving both instructions, and spoke 270 more words in Polish than in Hungarian.
How long did Sakura speak in Hungarian, and how long did she speak in Polish?
Sakura spoke for _____ minutes in Hungarian and for _____ minutes in Polish.
Answers
Hungarian and for 3 minutes in
Polish.
Its saying 8/9= w-2 over 6 and the the problem says what is w and then shows improper fractions
Answers
To solve this problem we ned to isolate the "w" variable on the left side of the equation, as shown below:
\(\begin{gathered} \frac{8}{9}\text{ = }\frac{w}{6}\text{ - }\frac{2}{6} \\ \frac{8}{9}\text{ + }\frac{2}{6}\text{ = }\frac{w}{6} \\ \frac{w}{6}\text{ = }\frac{2\cdot8\text{ + 3}\cdot2}{18} \\ \frac{w}{6}\text{ = }\frac{16+6}{18} \\ \frac{w}{6}\text{ = }\frac{22}{18} \\ w\text{ =}\frac{6\cdot22}{18}\text{ = }\frac{22}{3} \end{gathered}\)The correct answer is the second option.
Simplify the expression. #1-2
Answers
Answer: 1/2
Step-by-step explanation:
x+5 I'll give brainiest
Answers
Answer:
X + 5 = X + 5
Step-by-step explanation:
The answer is X + 5 because they both are different simbuls, wich means you cant add them. The answer just stayes x + 5.
A baseball card bought for $50 in 2020 increases 3% in value each year
Answers
The value of the baseball card after 10 years will be approximately 67.13 if it increases in value at a rate of 3% per year.
Let the value of the baseball card in 2020 be V.
If the card increases in value at a rate of 3% per year, then the value of the card after n years will be given by the formula:
V = 50(1 + 0.03)n
To find the value of the card after 10 years, we substitute n = 10 into the formula and evaluate:
V = 50(1 + 0.03)10V
≈ 67.13
This represents a gain of 17.13 over the original purchase price of 5.
Thus, the value of the baseball card after 10 years will be approximately 67.13 if it increases in value at a rate of 3% per year.
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Can someone please help me??? ahhh
Answers
Volume of the cylinder
\( = \pi {r}^{2} h\)
r = 4
h = 9
Volume
\( = \pi \times {4}^{2} \times 9 \\ = 3.14 \times 16 \times 9 \\ \)
\( = {452.16}^{3} \)Option A is the correct answerHope this will help....
Factor 1/2 out of (1/2d + 6)
Answers
Answer:
6/7
Step-by-step explanation:
i watched a video
Heather purchased a sapphire bracelet during the Jewelry Emporium's Semi-Annual Clearance Sale. If Heather paid $149.50 for the bracelet and the original price is $230.00, how much of a discount did she receive?
A.
35%
B.
30%
C.
45%
D.
65%
Answers
She received a 35% discount (A).
230 - 80.5 = 149.50, true
By guess and check, it’s A
Solution: A
Change the word phrase to an algebraic expression. Use x to represent the number. The product of 9 and two more than a number
Answers
The algebraic expression for "The product of 9 and two more than a number" is 9(x + 2).
In the given word phrase, "a number" is represented by the variable x. The phrase "two more than a number" can be translated as x + 2 since we add 2 to the number x. The phrase "the product of 9 and two more than a number" indicates that we need to multiply 9 by the value obtained from x + 2. Therefore, the algebraic expression for this word phrase is 9(x + 2).
"A number": This is represented by the variable x, which can take any value.
"Two more than a number": This means adding 2 to the number represented by x. So, we have x + 2.
"The product of 9 and two more than a number": This indicates that we need to multiply 9 by the value obtained from step 2, which is x + 2. Therefore, the algebraic expression becomes 9(x + 2).
In summary, the phrase "The product of 9 and two more than a number" can be algebraically expressed as 9(x + 2), where x represents the number.
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3. A CD costs £9.50 in London and
cheaper, in British money, is the CD when bought in the US?
4. An MP3 player costs €20.46 in Spain and £12.60 in the UK. Which is
the cheaper in dollars, and by how much?
in Nou Delhi is 32860 rupees.
Answers
Step-by-step explanation:
Only Q4 has clear details
therefore, solving Question 4,
1 euro = $1.17
then, €20.46 =20.46×1.17 = $23.93.
1 pound =1.28 dollars.
then, £12.60 = 12.60×1.28 =$16.128
therefore, MP3 in pound is cheaper in dollar by $7.81.
what are the steps to solve 3x+1=4x-8
Answers
Answer:
x = 9
Step-by-step explanation:
3x+1=4x-8
-1 -1
3x=4x-9
-4x -4x
-x=-9
x=9
Amber has been working very hard and finally got a salary increase of 100%. She was earning $200 per week. How much is she earning now?
Answers
Answer:
100% of 200 is 200, so she's now making $400 per week
Step-by-step explanation:
i hope this helped :)
Perform the summation using the following set of data: 2,3,3,4,5 (5 marks). Show formula and calculation. ∑(2x2)+4=
Answers
The value of the summation using the given set of data is 42.
Given that the set of data is 2,3,3,4,5.
We are required to perform the summation using the set of data and find ∑(2x2)+4.
Summing the set of data:
2+3+3+4+5 = 17
Now, we can apply the given formula.
∑(2x2)+4 = (2+4)+(2x3)+(2x3)+(2x4)+(2x5)
On solving we get,
∑(2x2)+4 = 12+6+6+8+10
∑(2x2)+4 = 42
Therefore, the value of the summation using the given set of data is 42.
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