Answer:
B. -7 + 8n
Step-by-step explanation:
-3.5(2 + -3n) + -2.5n = 0
(2 * -3.5 + -3n * -3.5) + -2.5n = 0
(-7 + 10.5n) + -2.5n = 0
0.5n + -2.5n = 8n
-7 + 8n
Answer:
B & E
Step-by-step explanation:
Evaluate the expression.
\(-3.5(2 + -3n) + -2.5n\\(2 * -3.5 + -3n * -3.5) + -2.5n \\(-7 + 10.5n) + -2.5n \\-7 + 8n\)
Customers can pick their own apples at well orchards. They pay $6 to enter the orchard and $2 per pound for the apples they pick. Write a equation to model the total cost, y, for x pounds of apples.
- You pick a card at random. 1 2 3 4 5 6 7 8 D) What is P(even)? )) Write your answer as a fraction or whole number
Answer:
4/8 or reduced 1/2
Step-by-step explanation:
It's 4/8 or reduced as 1/2 because there are 4 even numbers 2, 4, 6, 8
The giant panda population in China is increasing at a rate of 1.5% each year. There are 1864 giant panda in 2014. Write a function that models the panda population since 2014.
(exponential growth & decay)
Given:
Giant panda population in 2014 = 1864
The giant panda population in China is increasing at a rate of 1.5% each year.
To find:
The function that models the panda population since 2014.
Solution:
Since population of giant panda is increasing, therefore the function is the exponential growth model.
The general exponential growth model is:
\(P(t)=P_0(1+r)^t\)
Where, \(P_0\) is the initial population, r is the growth rate in decimal and t is the time period.
Putting \(P_0=1864,r=0.015\), we get
\(P(t)=1864(1+0.015)^t\)
\(P(t)=1864(1.015)^t\)
Where, t is the number of years since 2014.
Therefore, the required exponential growth model is \(P(t)=1864(1.015)^t\).
4. Calculate the values for the ASN curves for the single sampling plan \( n=80, c=3 \) and the equally effective double sampling plan \( n_{1}=50, c_{1}=1, r_{1}=4, n_{2}=50, c_{2}=4 \), and \( r_{2}
Single Sampling Plan: AQL = 0, LTPD = 3.41, AOQ = 1.79 Double Sampling Plan: AQL = 0, LTPD = 2.72, AOQ = 1.48
The values for the ASN (Average Sample Number) curves for the given single sampling plan and double sampling plan are:
Single Sampling Plan (n=80, c=3):
ASN curve values: AQL = 0, LTPD = 3.41, AOQ = 1.79
Double Sampling Plan (n1=50, c1=1, r1=4, n2=50, c2=4, r2):
ASN curve values: AQL = 0, LTPD = 2.72, AOQ = 1.48
The ASN curves provide information about the performance of a sampling plan by plotting the average sample number (ASN) against various acceptance quality levels (AQL). The AQL represents the maximum acceptable defect rate, while the LTPD (Lot Tolerance Percent Defective) represents the maximum defect rate that the consumer is willing to tolerate.
For the single sampling plan, the values n=80 (sample size) and c=3 (acceptance number) are used to calculate the ASN curve. The AQL is 0, meaning no defects are allowed, while the LTPD is 3.41. The Average Outgoing Quality (AOQ) is 1.79, representing the average quality level of outgoing lots.
For the equally effective double sampling plan, the values n1=50, c1=1, r1=4, n2=50, c2=4, and r2 are used. The AQL and LTPD values are the same as in the single sampling plan. The AOQ is 1.48, indicating the average quality level of outgoing lots in this double sampling plan.
These ASN curve values provide insights into the expected performance of the sampling plans in terms of lot acceptance and outgoing quality.
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Willy Wonka has 2 candies, Wonka bars and Everlasting Gobstoppers. Both have both natural sugar and sucrose in them. Each Wonka Bar has 4 grams of natural sugar and 1 gram of sucrose. Each Everlasting Gobstopper has 2 grams of natural sugar and 3 grams of sucrose. Mr. Wonka has 60 grams of natural sugar and 75 grams of sucrose. If each Everlasting Gobstopper has a profit of $1.3 and each Wonka Bar has a profit of $3.2, how many of each candy would give him the maximum profit?
Answer:
Wonka bars=3 and Everlasting Gobstoppers=24
Step-by-step explanation:
let the wonka bars be X
and everlasting gobstoppers be Y
the objective is to
maximize 1.3x+3.2y=P
subject to constraints
natural sugar
4x+2y=60------1
sucrose
x+3y=75---------2
x>0, y>0
solving 1 and 2 simultaneously we have
4x+2y=60----1
x+3y=75------2
multiply equation 2 by 4 and equation 1 by 1 to eliminate x we have
4x+2y=60
4x+12y=300
-0-10y=-240
10y=240
y=240/10
y=24
put y=24 in equation 2 we have'
x+3y=75
x+3(24)=75
x+72=75
x=75-72
x=3
put x=3 and y=24 in the objective function we have
maximize 1.3x+3.2y=P
1.3(3)+3.2(24)=P
3.9+76.8=P
80.7=P
P=$80.9
Answer:
wonka bars=3 and Everlasting Gobstoppers=24
Step-by-step explanation:
A standing wave can be mathematically expressed as y(x,t) = Asin(kx)sin(wt)
A = max transverse displacement (amplitude), k = wave number, w = angular frequency, t = time.
At time t=0, what is the displacement of the string y(x,0)?
Express your answer in terms of A, k, and other introduced quantities.
The mathematical expression y(x,t) = Asin(kx)sin(wt) provides a way to describe the behavior of a standing wave in terms of its amplitude, frequency, and location along the string.
At time t=0,
the standing wave can be mathematically expressed as
y(x,0) = Asin(kx)sin(w*0) = Asin(kx)sin(0) = 0.
This means that the displacement of the string is zero at time t=0.
However, it is important to note that this does not mean that the string is not moving at all. Rather, it means that the string is in a state of equilibrium at time t=0, with the maximum transverse displacement being A.
As time progresses, the standing wave will oscillate between the maximum positive and negative transverse displacement values, creating a pattern of nodes (points of zero displacements) and antinodes (points of maximum displacement).
The wave number k and angular frequency w are both constants that are dependent on the physical properties of the string and the conditions under which the wave is being produced.
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Who’s able to Answer?
Answer:
#3; Domain stays the same, but the range changes.
Step-by-step explanation:
All of the x values, stay the same, but because of the reflection the y-values change due to everything becoming greater than 2 rather than less than 2.
Answer:
C) The domain stays the same, but the range changes.
✿---✿--❀---❀---✿---✿
hope it helps...
have a great day!!
1
If y=4x + 5,
What is y when Ox= 3, and ii) x= -3
When x= 3 then y= 17
When x = -3 then y = -7
solve pls brainliest
Answer:
100
Step-by-step explanation:
Lets solve this the easiest way possible :)
120/6 = 20
Now since they sold 5/6 of these copies, lets multiply the 20 by 5 to figure out how much they sold.
20 x 5 = 100
They sold 100 copies :)
Hope this helps!!!
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
100
Step-by-step explanation:
5 120
----- ------
6 1
=
600
------- = 100
6
What is the degree measure of each angle expressed in radians? What is the radian measure of each angle expressed in degrees? (Express radian measures in terms of π .)
a. π /2 radians
π/2 radians is equivalent to 90 degrees. Radians measure angles based on the ratio of arc length to radius in a circle.
Radians and degrees are two different units used to measure angles.
In a circle, there are 2π radians (approximately 6.28) for a full revolution, which is equivalent to 360 degrees.
a. To determine the degree measure of π/2 radians, we can use the fact that 2π radians is equivalent to 360 degrees.
Solving for the unknown angle, we can set up the proportion: (π/2) radians = x degrees / 360 degrees. Cross-multiplying gives us x = (π/2) * (360/1) = 180 degrees.
Therefore, π/2 radians is equivalent to 180 degrees.
Radian measure represents the size of an angle in terms of the ratio of the arc length to the radius.
Each radian corresponds to an angle subtended by an arc that has a length equal to the radius of the circle.
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a 39-inch by 104-inch piece of cardboard is used to make an open-top container by removing a square from each corner of the cardboard and folding up the flaps on each side. what size square should be cut from each corner to get a container with the maximum volume? enter the area of the square and do not include any units in your answer.
According to the solving the area of the square is 68.0625.
What's a square's area?As is common knowledge, a square is a four-sided, two-dimensional figure. It is also referred to as a quadrilateral. The total quantity of unit squares forming a square is referred to as the square's area. In other words, it is described as the area that the square takes up.
According to the given data:The box formed after cutting the square from each corner will have the dimensions as,
length = 104 - 2x, width = 39 - 2x, height = x.
∴ volume of the box = length × width × height
∴ v = (104 - 2x)(39 - 2x)(x) -----(i)
∴ v = (104 - 2x) (39x - 2\(x^{2}\))
∴ v = 104(39x - 2\(x^{2}\)) -2x(39x - 2\(x^{2}\))
∴ v = 4056x - 208\(x^{2}\) - 78\(x^{2}\) + 4\(x^{3}\)
∴ v = 4\(x^{3}\) - 286\(x^{2}\) + 4056x
let f(x) = 4\(x^{3}\) - 286\(x^{2}\) + 4056x -----(ii)
To, find x for which f(x) is maximum,
⇒we should apply second derivative test ,
According to this test, first we should find critical points at which f'(x) = 0.
then if f''(x) < 0 for that critical point then f(x) is maximum at that critical point.
∴ let us consider, f'(x) = 0.
now, f(x) = 4\(x^{3}\) - 286\(x^{2}\) + 4056x
⇒ f'(x) = 12\(x^{2}\) - 572x + 4056. -----(iii)
⇒ f'(x) = 4(3\(x^{2}\) - 143x + 1014)
⇒ f'(x) = 0.
⇒ f'(x) = 4(3\(x^{2}\) - 143x + 1014) = 0
⇒ x = (-b ± \(\sqrt{b^{2} - 4ac }\))/2a ; where a = 3, b = -143, c = 1014.
∴ x = (-(-143) ± \(\sqrt{(-143)^{2} -4(3)(1014)}\))/2×3
∴ x = (143 ± \(\sqrt{8281}\))/6.
∴ x = \(\frac{143 + 91}{6}\) , x = \(\frac{143 - 91}{6}\)
⇒ x = 39, 8.25
the square of length 8.25 inch should be cut from each side to det contained with the maximum volume.
Area of the square is = \(x^{2}\) = \(8.25^{2}\)
∴ Area = 68.0625
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ƒ(x) = −x² + 9x – 17
Find f(-5)
Dalila is mixing paste. For every 1 1/3 cups of water, she uses 2 1/2 cups of flour. How much flour does Dalila need for each cup of water? Show your work.
Answer:
Flour need for 1 cup of water = \(1\frac{7}{8}\) cups
Step-by-step explanation:
Given:
Cups of water = \(1\frac{1}{3}\) = 4/3
Cups of flour = \(2\frac{1}{2}\) = 5/2
Find:
Flour need for 1 cup of water
Computation:
Flour need for 1 cup of water = Cups of flour / Cups of water
Flour need for 1 cup of water = (5/2) / (4/3)
Flour need for 1 cup of water = 15/8
Flour need for 1 cup of water = \(1\frac{7}{8}\)
how do i solve the circumference with the diameter of 1.3?
Answer:
Inputs:
Radius (r):
0.65
or
Diameter (d):
1.3
or
Area (A):
1.327
Unit of Lenght:
centimeter
Calculate Circumference
Result:
The circumference of a circle with diameter 1.3 is 4.084(*)
Formulas:
r = 0.65
d = 1.3
C = 4.08
C = 2·π·r C = π·d C = √4·π·A π = 3.1415
A = area of the circle
C = circumference or perimeter
r = radius, d = diameter
Step-by-step Solution:
Circumference of a cicle in terms of radius:
Circumference = 2·π·r = 2·3.14·0.65 = 4.09(*)
In terms of diameter:
Circumference = π·d = 3.14·1.3 = 4.08(*)
In terms of area:
Circumference C = √4·π·A = √4·π·1.33 = 4.09(*)
(*) 4.084 cm exactly or limited to de precision of this calculator (13 decimal places).
Note: for simplicity, the operations above were rounded to 2 decimal places and π was rounded to 3.14.
A circumference of 4.084 centimeters is equal to:
4.084E-5 kilometers (km)
0.04084 meters (m)
40.84 millimeters (mm)
2.53768E-5 miles (mi)
0.0446632 yards (yd)
0.13399 feet (ft)
1.60787 inches (in)
Step-by-step explanation:
The formula for a circumference of a circle is
\(\pi \times d\)
where d is the diameter.
So the answer is
\(\pi \times 1.3\)
\(1.3\pi\)
If you asked to use 3.14 as a approximation for pi then we do
\(1. 3 \times 3.14 = 4.082\)
What is the value of the expression −1534÷4.5 ?
−0.35negative 0 point 3 5
−3.41negative 3 point 4 1
−3.5negative 3 point 5
−5.25 pls pls pls helpppp
Solve for the value of k that makes the series converge. ∑=4/n^k
The value of k that makes the series converge is k > 1.
To solve for the value of k that makes the series ∑(4/ \(n^k\) ) converge, we need to apply the convergence test for series with positive terms, known as the p-series test. A p-series is of the form ∑(1/\(n^p\)) and converges if p > 1, and diverges if p ≤ 1.
In our case, the given series is ∑(4/ \(n^k\)), which is 4 times the p-series
∑(1/ \(n^k\)). Since the convergence properties of a series are not affected by multiplying by a constant (4 in this case), we can focus on the series ∑(1/ \(n^k\)).
According to the p-series test, this series converges if k > 1. Therefore, the value of k that makes the original series converge is k > 1.
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A student must have an average (the mean) on five tests that is greater than or equal to 80% but less than 90% to receive a final grade of B. Devon's grades on the first four tests were 77%, 63%, 90%, and 78%. What range of grades on the fifth test would give him a B in the course? (Assume that 100% is the highest grade possible.)
Answer:
92%-100% for B
Step-by-step explanation:
Answer: 92%-100% for B
Step-by-step explanation:
i neeeeeeeeeeeeeeeeeeeed hellp fast
Answer: point E
Step-by-step explanation:
Please answer 25 points!
Answer:
-3
Step-by-step explanation:
Answer:
-3
Step-by-step explanation:
that's just the correct answer, I know.
How many terms are in the expression? 4x+3x-2y,3y?
Selected Data for Three States State X State Y State Z 12.4 19,5 Population (in millions) 8,7 7,400 Land area (square miles) 44,800 47,200 120 178 Number of state parks Por capita income 36 $50,313 $49,578 $46,957 Approximately what is the per capita income for the total population of States X, Y, and Z? $48,300 O $48,500 O $48,800 $49.000
The approximate per capita income for the total population of States X, Y, and Z is $48,500.
To calculate the per capita income for the total population of States X, Y, and Z, we need to consider the population and per capita income of each state. State X has a population of 12.4 million and a per capita income of $50,313, State Y has a population of 8.7 million and a per capita income of $49,578, and State Z has a population of 7.4 million and a per capita income of $46,957.
To find the total income for the three states, we multiply the population of each state by its respective per capita income. Then we sum up the total incomes and divide it by the total population of the three states.
Total income for State X = 12.4 million * $50,313 = $624,151,200
Total income for State Y = 8.7 million * $49,578 = $431,346,600
Total income for State Z = 7.4 million * $46,957 = $347,045,800
Total income for States X, Y, and Z = $624,151,200 + $431,346,600 + $347,045,800 = $1,402,543,600
Total population of States X, Y, and Z = 12.4 million + 8.7 million + 7.4 million = 28.5 million
Per capita income = Total income / Total population = $1,402,543,600 / 28.5 million ≈ $49,078
Therefore, the approximate per capita income for the total population of States X, Y, and Z is $48,500.
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Mason throws a coin 3 times.
The outcome of each throw is either Heads or Tails.
List all the possible outcomes of the 3 throws.
Given:
Mason throws a coin 3 times.
The outcome of each throw is either Heads or Tails.
To find:
The list of all the possible outcomes of the 3 throws.
Solution:
Let H represents heads and T represents tails.
For each throw we have 2 choices either H or T.
For three throws the total number of possible outcomes is
\(2^3=8\)
Now, list the possible outcomes as shown below.
HHH, HHT, HTH, HTT, THH, THT, TTH, TTT
Therefore, the list of 8 possible outcomes is HHH, HHT, HTH, HTT, THH, THT, TTH, TTT.
sketch the wave functions and the probability distributions for the n = 4 and n = 5 states for a particle trapped in a finite square well.
The wave functions and probability distributions for a particle trapped in a finite square well can be complex, but understanding these concepts is essential for understanding the behavior of particles in quantum mechanics.
To sketch the wave functions and probability distributions for the n = 4 and n = 5 states of a particle trapped in a finite square well:
We need to first understand what these terms mean.
Wave functions are mathematical functions that describe the behavior of particles in quantum mechanics. They represent the probability amplitude of finding a particle in a certain state, and can be used to calculate the probability of finding the particle in a certain location.
Probability distributions, on the other hand, describe the probability of finding a particle in a certain location at a certain time. They are calculated by squaring the wave function and normalizing the result.
Now, let's consider a particle trapped in a finite square well. This means that the particle is confined to a certain region of space, and can only exist within that region. The wave function for a particle in this situation can be expressed as a combination of sine and cosine functions.
For the n = 4 and n = 5 states, the wave functions will have four and five nodes, respectively. These nodes represent regions where the probability of finding the particle is zero.
To sketch the probability distributions, we need to square the wave functions and normalize the result. This will give us a graph that shows the probability of finding the particle at different locations within the well.
Overall,the wave functions and probability distributions for a particle trapped in a finite square well can be complex, but understanding these concepts is essential for understanding the behavior of particles in quantum mechanics.
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whats gcf and lcm for 12 and 28
Answer:
84
pls don't mark me as BRAINLIEST
How would I create a graph for this equation? The equation is c=4.95+3.99b
Answer:
plot two points and draw a line through them
Step-by-step explanation:
The graph is created for this the same way it is for any function: find some points on the graph, plot them, and draw an appropriate curve through them.
Since this is a linear equation, the graph is a straight line. Only two points are needed to allow you to plot the entire line.
For b=0, the point is (b, C) = (0, 4.95)
For b=5, the point is (b, C) = (5, 24.90)
The graph might look like the attached.
_____
For b=5, the equation gives ...
C = 4.95 +3.99(5) = 4.95 +19.95 = 24.90
Write the number below as a fraction in its simplest form
0.6
but make sure its recurring
Answer:
3/5 is the simplest form
Step-by-step explanation:
0.6 = 6/10 which you can divide 6 and 10 by two
6 divided by 2 = 3
10 divided by 2 = 5
Now we turn it into a fraction which will be 3/5
So the answer is 3/5
Jenny has a monthly income of 2,650.The income tax she had to pay is 9%.What is the amount of monthly income tax Jenny has to pay?
9514 1404 393
Answer:
238.50
Step-by-step explanation:
9% of 2650 is ...
0.09 × 2650 = 238.50
Jenny must pay 238.50 monthly.
A group of 30 students at Montgomery middle were asked which type of music they listen to more often, alternative or pop .
The ratio of students who choose alternative and pop among 30 students is 10:5
What is ratio?Comparing two amounts of the same units and determining the ratio tells us how much of one quantity is in the other.
Two categories can be used to categorize ratios.
Part to whole ratio is one, and part to part ratio is the other.
The part-to-part ratio shows the relationship between two separate entities or groupings.
Given ,
Alternative =20
Pop = 10
So 20 and 10 both are multiples of 2 by simplifying that
10:5
Therefore the ratio is 10:5
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What is the formula for varies inversely?
Inverse variation is the relationships between variables that are represented in the form of \(y=\frac{k}{x}\), where \(x\) and \(y\) are two variables and \(k\) is the constant value. It states that if one quantity's value rises, the other quantity's value falls.
We notice that the variation in values of one quantity depends on the variation in values of another quantity in our day-to-day lives. A variable's inverse variation in relation to another variable is known as inverse variation. It exemplifies the opposite relationship that exists between two quantities. As a result, a variable and another variable are inversely proportional.
In everyday life, there are numerous real-world examples of inverse variation. For instance: If a train travels at a constant speed for a greater distance, it takes longer to complete the journey, and vice versa. On the other hand, if more people are assigned to a job, it takes less time to complete it.
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what is the equation of the line that is parallel to line m and passes though (8,-7)
The equation of the line that is parallel to line m and passes through (8, -7) is y = (3/4)x - 13.
If two lines are parallel, they have the same slope. Therefore, we need to find the slope of line m to use it for the parallel line. Let's say the equation of line m is y = (3/4)x + b, where b is the y-intercept. Since the line is parallel to line m, it will have the same slope, which is 3/4. Now we can use the point-slope form of a linear equation to find the equation of the parallel line.
The point-slope form is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line. Substituting the values of the point (8, -7) and slope 3/4, we get the equation y - (-7) = (3/4)(x - 8), which simplifies to y = (3/4)x - 13. Thus, the answer is "y = (3/4)x - 13".
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