Part A
Answer: 360 milesReason:
The graph shows the highest point occurs when y = 360. After this point, the truck turns around to go back to the starting point (the warehouse perhaps).
In other words, the truck starts at y = 0 when it's at the warehouse. It travels 360 miles to reach the customer, which is represented as the highest point of the V shaped curve. This process takes 6 hours.
Then another 6 hours elapses when the truck drives back to the warehouse. We assume the same route is used, and similar traffic conditions occur for each leg of the trip.
============================================================
Part B
Answer: The truckReason:
The graph shows that the truck takes 12 hours to get back to the warehouse. We look at the x intercept because this is when the distance from the start is back to y = 0 again.
Now we need to find out how long the car takes on its trip.
We'll plug in y = 0 into the car's equation and solve for x.
y = -72|x-5| + 360
0 = -72|x-5| + 360
72|x-5| = 360
|x-5| = 360/72
|x-5| = 5
x-5 = ± 5
x-5 = 5 or x-5 = -5
x = 5+5 or x = -5+5
x = 10 or x = 0
x = 0 or x = 10
This tells us that the car is at the warehouse when x = 0 and when x = 10.
Therefore, the car takes 10 hours to do a round trip, and it's the faster vehicle.
If anyone can help with number 4
using the va/linear foot method, the total va that must be used in a service calculation for a 50' show window is?
The total VA( volt-ampere ) that must be used in a service calculation for 50' show window is 125000VA.
What is VA linear foot method?A volt-ampere (SI symbol: VA or V A, abbreviated as VA) is the unit of perceived power in an electrical circuit. The apparent power is equal to the product of the root mean square voltage (in volts) and the root mean square current (in amperes). Volt-amperes are commonly used to analyze alternating current (AC) circuits. In direct current (DC) circuits, this product equals the real power in watts. The volt-ampere is dimensionally identical to the watt: 1 VA = 1 W in SI units).
The total VA that must be used in a service calculation for 50' show window is, Therefore, by using VA linear foot method,
200 VA per linear foot×50'=10000VA10000VA×1.25
=125000VA
Hence, the total VA that must be used in a service calculation for 50' shadow is 125000VA.
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. the sum of the values of \alpha and \beta
Group of answer choices
is always 1
is always .5
is not needed in hypothesis testing
gives the probability of taking the correct decision
None of the given answer choices accurately describes the sum of the values of α and β.
The sum of the values of α and β is not needed in hypothesis testing, nor does it give the probability of taking the correct decision.
In hypothesis testing, α (alpha) represents the significance level or the probability of rejecting a true null hypothesis. It is the probability of making a Type I error. On the other hand, β (beta) represents the probability of failing to reject a false null hypothesis. It is the probability of making a Type II error.
The sum of α and β is not fixed or always equal to a specific value. It depends on the specific hypothesis test and the choices made regarding the significance level and power of the test. The values of α and β are generally chosen based on the desired level of confidence and the trade-off between Type I and Type II errors.
Therefore, none of the given answer choices accurately describes the sum of the values of α and β.
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.chris p. bacon worked 44 hours last week and gets double time pay for overtime. his regular pay is $14 per hour. how much was his paycheck for the week?
The total paycheck for the week is of $672 as Chris bacon work for 44 hours last week, regular pay $14 per hour and double time pay for overtime.
As given,
Regular pay per hour = $14
Overtime work payment= 2 × ($14)
Total hours work done last week = 44hours
Let regular timing be 8 hours per day 5 days a week
Total regular working hours = 8 × 5
= 40 hours
Over time = 44-40
= 4 hours
Payment check = (40 × 14)+ (4 × 28)
= $672
Therefore, The total paycheck for the week is of $672 as Chris bacon work for 44 hours last week.
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which number is bigger 5.72 or 4.75?
Answer:
5.72
Step-by-step explanation:
Answer:
5.72 is bigger then 4.75
Step-by-step explanation:
Write an equation for the line that passes through the points (0,-6) and (-3,0). HELP
Answer:
Equation: y = -2x - 6.
Step-by-step explanation:
picture
Factor the following expression completely 16x5- x3
since both terms are perfect squares, factor using the difference of squares formula a^2 -b^2= (a +b) (a -b) where a =4x and b=1 x^3 (4x+1)(4x-1)
Determine the stress in each member of the trusses loaded and supported as shown below using Maxwell's Stress Diagram scale: 1 m=100kn SPAN, L =32.0 m PITCH = one − third
To understand how to determine the stress in each member of the trusses loaded and supported as shown using Maxwell's Stress Diagram scale.
A truss is a structure that is made up of several beams or rods that are joined together in a triangular pattern to create a stable and rigid structure. Maxwell's stress diagram is a graphical method that is used to determine the stresses in the individual members of a truss.
The diagram uses a series of lines and polygons to represent the stresses in the various members of the truss. Given that the span is L = 32.0 m and the pitch is one-third, we can determine the height of the truss using the Pythagorean theorem.
The height of the truss is given by:
h\(^2 = (L/3)^2 + (L/2)^2\)
h\(^2 = (32/3)^2 + (32\)/2)^2
\(h^2 = 2464\)
\(h = 49.6 m\)
The load P is applied at joint C and the reactions at joints A and B are vertical. The truss can be divided into two halves by a vertical line passing through joint C. The half of the truss on the left is shown below:
[asy]
size(250);
import truchet;
truss(5,12,9,8);
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If a matrix A is 5 x 3 and the product AB is 5 x 7, what is the size of B?
The size of the the matrix B if a matrix A is 5x3 and the product AB is 5x7 is B =[3x7].
Two matrices can only be multiplied if the first matrix has the same number of columns as the second matrix has. If the first matrix has dimensions of a x b and the second matrix has dimensions of c x d, then b = c and their product will have dimensions of a x d.
Let A is a 3 x 5 matrix and B is a 5 x 7 matrix
We know that matrix multiplication of A and B is possible if
Number of columns of A = Number of rows of B
Since in the given problem
Number of columns of A = Number of rows of B = 5
So the product is possible
Now the product AB is a matrix of order 3 × 7
Now the order of the product AB is 3 × 7
If a 3 x 5 matrix is multiplied by a 5 x 7 matrix then their product is a matrix of order 3 × 7.
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WILL MARK BRAINLIEST !!!!
Neveah has created the function f(x) = the quantity of 2x plus 4, divided by 3 to represent the growth of her hair, where x represents the number of months since her last hair cut. Neveah discovers that, using the inverse function to solve for x = 6, she can predict when her hair will have grown 6 inches. Explain to Neveah how to accomplish this, using complete sentences.
Therefore, growth of her hair is 6 inches in 7 months.
Step-by-step explanation:
If the rectangle below is enlarged using a scale factor of 1.5, what will the perimeter of the new rectangle be?
Group of answer choices
24 in
54 in
16.5 in
33 in
Answer:
33 in
Step-by-step explanation:
hope this helps i think it's right
name one way in which plants can increase the amount of weathering and one way in which the can reduce it.
Answer:
Step-by-step explanation:
Plants can cause both mechanical and chemical weathering. They cause mechanical weathering by their roots which grow inside rock cracks where soil has collected and eventually crack them. This can also happen in streets or sidewalks.
They cause chemical weathering with their roots, which release acid or other chemicals, onto rocks, which then forms cracks, and breaks apart.
Plants may decrease chemical weathering by binding secondary products and isolating unweathered minerals from meteoric water.
The formation of a forest or a stand of trees in an area where there was previously no tree cover is known as afforestation.
Many government and non-governmental groups are directly involved in afforestation efforts to establish forests and boost carbon sequestration.
Plants can weather both mechanically and chemically. Their roots, which grow inside rock fractures where dirt has accumulated and eventually crack them, produce mechanical weathering. This can also happen on the pavements or on the highways.
Their branches promote melting by releasing acid or other compounds onto rocks, causing fissures and breaking apart. By binding secondary products and separating uncut diamond minerals from meteoric water, plants can reduce chemical weathering.
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Two similar-looking series are given. Test each one for convergence or divergence.
∑_(n=1)^[infinity]▒〖( n/n^2 +3)〗
O convergent
O divergent
∑_(n=1)^[infinity]▒( n/n^2 +3) ^n
O convergent
O divergent
1. Series:
\(\[\sum_{n=1}^{\infty} \frac{n}{{n^2 + 3}}\]\)
To determine the convergence or divergence of this series, we can use the comparison test or the limit comparison test.
Using the comparison test:
We compare the given series with a known series that we know to be convergent or divergent. Let's consider the series \(\(\sum_{n=1}^{\infty} \frac{1}{n}\).\)
As \(\(n\)\) approaches infinity, the term \(\(\frac{n}{{n^2 + 3}}\)\) is always less than or equal to \(\(\frac{1}{n}\).\)
Since the series \(\(\sum_{n=1}^{\infty} \frac{1}{n}\)\) is a known divergent harmonic series, and the terms of our series are less than or equal to the corresponding terms of the harmonic series, we can conclude that our series is also divergent.
Therefore, the first series is divergent.
2. Series:
\(\[\sum_{n=1}^{\infty} \left(\frac{n}{{n^2 + 3}}\right)^n\]\)
To test the convergence or divergence of this series, we can use the root test or the ratio test.
Using the root test:
We take the \(\(n\)th\) root of the absolute value of the series term and check the limit as \(\(n\)\) approaches infinity.
Let's calculate the limit:
\(\[\lim_{{n\to\infty}} \left(\frac{n}{{n^2 + 3}}\right)^n = \lim_{{n\to\infty}} \left(\frac{n^n}{{(n^2 + 3)^n}}\right) = \lim_{{n\to\infty}} \left(\frac{n^n}{{n^{2n} + 3n}}\right) = \lim_{{n\to\infty}} \left(\frac{n^n}{{n^{2n}}}\right) = \lim_{{n\to\infty}} \left(\frac{1}{{n^n}}\right) = 0\]\)
Since the limit is less than 1, the root test tells us that the series converges.
Therefore, the second series is convergent.
In summary:
1. The first series is divergent.
2. The second series is convergent.
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A friend of yours claims to be able to ride a bicycle 20 feet per second, is this a reasonable
speed for a bicycle? Help
Answer:
No and yes
Step-by-step explanation:
If the bike is at a sudden hault (A FULL STOP) its physically impossible for the sudden speed of his weight and laws of inertia to pull him forwar that quick.
NOW - if the bike is already in motion and going downhill the gravitational down force will haul his speed at 45MPH and would make him reach the lenght of 66feet per second.
If S.P. = Rs 450, S.P. with VAT = Rs 495, find vat percent
By using the formulae of VAT Percentage we have required VAT percentage as 10%.
Given is S.P=Rs 450 (Selling Price)
S.P+VAT =Rs 495 (Selling Price+ Value added Tax)
Now we have to find Amount of VAT that is how much value added tax is imposed in the selling price.
To find out Amount of VAT we have to take Selling Price (S.P) and subtract it from Selling Price with VAT.
Amount of VAT = (S.P + VAT )- S.P
= Rs 495 - Rs 450
= Rs 45
VAT Percent = Amount of VAT /Selling Price x 100
Percentage of VAT = \(\frac{45}{450} .100\)
= 10 %
So VAT percentage is 10%.
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(T) or false (F). (1)If f '(c) = 0, then f has a local maximum or minimum at c. (2). If f has an absolute minimum value at c, then f '(c) = 0. (3). If f is continuous on (a, b), then f attains an absolute maximum value f(c) and an absolute minimum value f(d) at some numbers c and d in (a, b). (4). If f is differentiable and f(-1) = f(1), then there is a number c such that | c |< 1 and f '(c) = 0. (5). If f '(x) < 0 for 1 < x < 6, then f is decreasing on (1, 6). (6). If f ''(2) = 0, then (2, f(2)) is an inflection point of the curve y = f(x). (7). If f' (x) = g '(x) for all 0 < x < 1, then f(x) = g(x) for 0 < x < 1.
(1) T: If f'(c) = 0, then f has a local maximum or minimum at c, according to Fermat's theorem. (2) False 3) True 4) True 5) True 6) False 7) False
1) True. This is because when the derivative of a function is equal to zero at a certain point, it indicates that the slope of the function at that point is zero. This can only happen at a local maximum or minimum point.
2) False. Although having an absolute minimum value may suggest that the function has a critical point, it does not necessarily mean that the derivative of the function is equal to zero at that point.
3) True. This is because the Extreme Value Theorem states that a continuous function on a closed interval will have both an absolute maximum and minimum value.
4) True. This is because of the Mean Value Theorem, which states that if a function is differentiable on an interval, then there exists at least one point in that interval where the derivative equals the slope of the secant line connecting the endpoints of the interval.
5) True. This is because a negative derivative indicates a decreasing function.
6) False. Although having a zero second derivative may suggest a possible inflection point, it does not guarantee it. Further analysis is needed to determine if the point is indeed an inflection point.
7) False. While having equal derivatives may suggest that two functions are the same, it is not a sufficient condition. The two functions may differ by a constant.
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5. Read the problem carefully, then choose the inequality that best represents this real life situation. Explain your thinking. Lydia spent $2.50 per pound on apples and $1.80 per pound on oranges. She spent at most $22. Which inequality represents this situation?
(Let a = pounds of apples, and r = pounds of oranges)
a) 2.50 + 1.80 = 22
b) 2.50a + 1.80r = 22
c) 2.50a + 1.80r ≤ 22
d) 2.50a + 1.80r ≥ 22
Answer:
B
Step-by-step explanation:
The answer is B
Can someone help me with these problems having trouble and show work please !
Answer:
1.x=0, –10
2.x=3, 4
Step-by-step explanation:
1.
x(x+10)=0===> x=0, –10
2.
x²–3x–4x+12===> x²–7x+12=0
(x–3)(x‐4)=0====> x=3, 4
Set X = {1,2,3}, and define G := Sym(X) (the group of the six permutations of X). For each of the eight subsets U of X, define y(U) to be the set of all permutations g of X satisfying u⁹ = u (or g(u) = u) for each element u in U. For each of the six subgroups H of G, define (H) to be the set of all elements x in X satisfying xh = x (or h(x) = x) for each element h in H. (i) Determine, for each of the eight subsets U of X, the set (U). (ii) Determine, for each of the six subgroups H of G, the set (iii) Determine the galois elements with respect to (7,0). (H).
To determine the sets (U) and (H), let's go through each case:
(i) Determining the sets (U):
U = {} Since U is an empty subset, (U) will also be an empty set.
U = {1}
The set (U) will contain all elements x in X such that xh = x for each element h in G.
Here, the set (U) will be {1, 2, 3} since every permutation in G fixes the element 1.
U = {2}
Similarly, the set (U) will be {1, 2, 3} since every permutation in G fixes the element 2.
U = {3}
Again, the set (U) will be {1, 2, 3} since every permutation in G fixes the element 3.
U = {1, 2}
In this case, (U) will contain the elements that are fixed by every permutation in G.
The set (U) will be {3} since only the permutation (3) fixes both elements 1 and 2.
U = {1, 3}
The set (U) will also be {2} since only the permutation (2) fixes both elements 1 and 3.
U = {2, 3}
Similarly, (U) will be {1} since only the permutation (1) fixes both elements 2 and 3.
U = {1, 2, 3}
In this case, (U) will be the set of all elements x in X since every permutation in G fixes all elements.
(ii) Determining the sets (H):
To determine the sets (H), we need to consider each subgroup H of G:
H = {}
Since H is an empty subgroup, (H) will also be an empty set.
H = {(1)}
The set (H) will contain the elements x in X such that h(x) = x for each element h in H.
Here, (H) will be {1} since only the identity permutation fixes the element 1.
H = {(2)}
Similarly, (H) will be {2} since only the identity permutation fixes the element 2.
H = {(3)}
(H) will be {3} since only the identity permutation fixes the element 3.
H = {(1), (2)}
In this case, (H) will be the set of elements fixed by both the identity permutation and the transposition (1 2).
The set (H) will be {3} since only the transposition (1 2) fixes the element 3.
H = {(1), (3)}
(H) will be {2} since only the transposition (2 3) fixes the element 2.
H = {(2), (3)}
Similarly, (H) will be {1} since only the transposition (1 3) fixes the element 1.(iii) Determining the Galois elements with respect to (7, 0):
The Galois elements with respect to (7, 0) will be the set of all elements x in X such that x^7 = x (or h(x) = x for the permutation (7, 0)).
Since (7, 0) is not a permutation in G, there are no elements in X that satisfy this condition. Thus, the Galois elements with respect to (7, 0) will be an empty
Set X = {1,2,3}, and define G := Sym(X) (the group of the six permutations of X). For each of the eight subsets U of X, define y(U) to be the set of all permutations g of X satisfying u⁹ = u (or g(u) = u) for each element u in U. For each of the six subgroups H of G, define (H) to be the set of all elements x in X satisfying xh = x (or h(x) = x) for each element h in H. (i) Determine, for each of the eight subsets U of X, the set (U). (ii) Determine, for each of the six subgroups H of G, the set (iii) Determine the galois elements with respect to (7,0). (H).
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Can someone pls help me
Ill give Brainly
NO BOTS OR ILL REPORT YOU
can some one do this for me i will give you Brainliest
Answer:
1. 1
2. -30
3. -2
4. 15
Step-by-step explanation:
which of the following is a solution to the differential equation xy′−2y=2 ?
The solution to the differential equation \(xy' - 2y = 2\) can be expressed as \(y = (x^2 - 2)/x + C\), where C is a constant.
To find this solution, we can use the method of separating variables. First, we rewrite the equation in the form \(dy/dx = (2y - 2)/x\). Next, we separate the variables by multiplying both sides by x and dividing by \((2y - 2)\). This gives us \(dx/x = dy/(2y - 2)\).
Integrating both sides, we have \(\log|x| = (1/2)\log|2y - 2| + C\), where C is the constant of integration.
To simplify further, we can rewrite the equation using logarithmic properties: \(\log|x| = \log|\sqrt{(2y - 2)}| + C\). Applying the exponential function, we have \(|x| = |\sqrt{(2y - 2)}| * e^C\).
Since the absolute values can be removed by considering positive and negative cases, we get \(x = \sqrt{(2y - 2)} * e^C\).
Simplifying this equation, we have \(x^2 = 2y - 2 * e^C\). Rearranging terms, we obtain \(y = (x^2 - 2)/x + C\), which is the general solution to the given differential equation.
In conclusion, the solution to the differential equation \(xy' - 2y = 2\) is \(y = (x^2 - 2)/x + C\), where C is a constant.
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how many different ways can 3 people sit at a table with 5 seats?
a) 15
b) 60
c) 125
d) 243
Answer:
The correct answer is B 60 - 5 x 4 = 20 x3 = 60
Answer:
60 ways
Step-by-step explanation:
5P3 = 5!/[3!(5-2)!]
= 5!/(3!2!)
= 5 × 4 × 3
= 60
brittany is three times as old as steve. in 9 years, she will be twice as old as him. how old is brittany now?
Therefore, the preceding equation, which states that Brittany will be twice as old as Steve in 9 years, is proven when Brittany is 54 years old and Steve is 18 years old.
what is an equation ?Equations are mathematical statements with the equals (=) sign on each side and two algebraic expressions in the center.
Coefficients, variables, operators, constants, terms, and the equal to sign are just a few of the components that make up an equation. The "=" symbol and terms on both sides are always needed when writing an equation.
calculation
Let s = brittany 's age now
Let t = steve's age now
s = 3t
s + 9 = 2 (t+9)
s + 9 = 2t + 27
s = 2t + 27 - 9
s = 2t + 18
Substitute 3t for s and find t
3t = 2t + 18
3t - 2t = 18
t = 18 yrs is steve's age
then
s = 3(18)
s = 54 yrs is brittany's age
Therefore, the preceding equation, which states that Brittany will be twice as old as Steve in 9 years, is proven when Brittany is 54 years old and Steve is 18 years old.
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The simplified form of 3root45 - root 125 + root 500
Answer:
the answer and explanation is in the picture
please like and Mark as brainliest
hope this helps
how to solve this story problem. Newton buys 4 gallons of gasoline. He pays $8.64. How much does 1 gallon of gasoline cost
Answer:
$2.16 / gallon
Step-by-step explanation:
4 gallons were bought for $8.64
4 gallons = $8.64
1 gallon = ?
cross multiply and divide
$8.64 / 4 gallons = $2.16 per gallon
check:
$2.16 * 4 = $8.64
HELP ME PLEASEEEEEEE
The graph of line g is shown below.
Which equation describes a line parallel to line g that has a y-intercept at (0, −1)?
Answer:
is the graph of y=-2x-1
The equation of line which is parallel to given line is , \(y=-\frac{1}{2}x-1\)
Option H is correct.
Equation of line :Given line is passes through points \((-4,6)\) and \((4,2)\)
Slope of given line is,
\(Slope=\frac{2-6}{4+4}=-\frac{1}{2}\)
Since, all parallel lines have the same slope.
So that, slope of line parallel to given line is also equal to \(-\frac{1}{2}\)
Equation of required is,
\(y=-\frac{1}{2}x+c\)
Since, line passes through point \((0,-1)\)
So that, \(c=-1\)
Equation of required line become, \(y=-\frac{1}{2}x-1\)
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Since the discovery of the tiger gar population in Lake Richmond, the population of bluegill fish has also shown significant change
Answer:
Since the discovery of the tiger gar population in Lake Richmond, the population of bluegill fish has also shown significant change.
the discovery of the tiger gar population in Lake Richmond, the population of bluegill fish has shown significant change. The number of bluegill fish has decreased from 2,465 in 2016 to 1,094 in 2021.
NEED HELP!!! 30 POINTS
FIND THE RATIONAL EXPONENT FORM!!
Answer:
Step-by-step explanation:
The root which is 2 is the fractional portion of your exponent
\(\sqrt{x^{7} y^{12} }\)
=\((x^{7} y^{12} )^{\frac{1}{2} }\) >You can distribute 1/2 to each term by multiplying
\(=x^{\frac{7}{2} } y^{6\)
A company loses $5,400 as the result of a manufacturing defect. The 8 owners of the company must share the loss equally. Find the change in profit in dollars for each owner
Answer:
$675
Step-by-step explanation:
We need to divide the total loss of $5,400 equally among the 8 owners to find the change in profit for each owner,
\(\boxed{\bold{Change\: in \:profit\: for \:each \:owner \:= \frac{Total \:loss }{ Number\: of\: owners}}}\)
Change in profit for each owner = \(\frac{\$5,400 }{8}\)
Change in profit for each owner = $675
Therefore, each owner will experience a decrease in profit of $675.