Answer:
\(\textbf{D. }\overrightarrow{BA}\)
Step-by-step explanation:
The end point of a ray is named first. The name of another point on the ray completes the ray name. Any arrow over the name will be single ended, with its tail over the name of the endpoint.
A ray with endpoint B will be B[something] with an over-arrow pointing to the right:
\(\overrightarrow{BA}\)
a buyer for a specialty clothing manufacturer must buy at least 2000 bales of cotton that weigh at least 420 kilograms per bale. a cotton broker has a shipment of 100,000 bales with weights that are normally distributed with a mean of 376 kilograms and a standard deviation of 22 kilograms. how many bales should the buyer purchase to ensure that he has at least 2000 bales that weigh 420 kilograms each?
The buyer should purchase 87913 bales to ensure that he has at least 2000 bales that weigh 420 kilograms each.
For having a bale of 420 and above,
we calculate standard deviation using below information
(420 - 376 /22) = 0.02275 = 2.275% chance of having a bale of 420+ kg
To find out the number of bales to pe precise,
2000/0.02275 = 87912.1 so you'll need at the very least 87913 bales to be reasonably certain.
The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.
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1/3x7 ...............
Answer:
7
Step-by-step explanation:
Solve:
\(0=x^{5}+x^{4}-20x^{3}-68x^{2}-80x-32\)
The solution to the equation is x = -2, -1.46, -1, x = 5.46
How to determine the solution to the equationFrom the question, we have the following parameters that can be used in our computation:
0 = x^{5}+x^{4}-20x^{3}-68x^{2}-80x-32
Express properly
So, we have
x^5 + x^4 - 20x^3 -68x^2 -80x - 32 = 0
Next, we plot the graph of x^5 + x^4 - 20x^3 -68x^2 -80x - 32 = 0 to determine the solution graphically
See attachment for graph
From the graph, we have
x = -2, -1.46, -1, x = 5.46
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if you had 12.3 grams of carbohydrates, how many calories would that contribute per serving? do not round; give the absolute value.
49.2 calories are in would that contribute per serving .
What does a calorie mean ?
Energy is measured in calories. When you hear something has 100 calories, it means that it has the potential to provide your body with that many calories of energy. Calories are the units of energy used by your body during food digestion and absorption. A food's ability to give your body energy depends on how many calories it contains.Carbohydrates provide 4 calories per gram.
1 gm Carbohydrates = 4 calories
then 12.3 gm Carbohydrates = 12.3 * 4
= 49.2 calories
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Calculate the first fundamental forms of the following surfaces: (i) x(u,v)=(u−v,u+v,u²+v²); (ii) x(u,v)=(coshu,sinhu,v).
(i) The first fundamental form of x(u,v)=(u−v,u+v,u²+v²) is given by E = 4, F = 0, and G = 2.
(ii) The first fundamental form of x(u,v)=(coshu,sinhu,v) is given by E = 1, F = 0, and G = 1.
To calculate the first fundamental forms of the given surfaces, we need to find the coefficients E, F, and G. These coefficients are defined as follows:
E = x_u · x_u
F = x_u · x_v
G = x_v · x_v
For the first surface x(u,v)=(u−v,u+v,u²+v²):
- Differentiating x(u,v) with respect to u and v, we get x_u=(1,-1,2u) and x_v=(1,1,2v).
- Calculating the dot products, we find that E = x_u · x_u = 4, F = x_u · x_v = 0, and G = x_v · x_v = 2.
For the second surface x(u,v)=(coshu,sinhu,v):
- Differentiating x(u,v) with respect to u and v, we get x_u=(sinhu,coshu,0) and x_v=(0,0,1).
- Calculating the dot products, we find that E = x_u · x_u = 1, F = x_u · x_v = 0, and G = x_v · x_v = 1.
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Help
Is it right and what do I put in the blanks ?
Answer:
Yes, your answers are correct.
Example of 3 below:
Step-by-step explanation:
5x + 2 = 27
use inverse operations and the properties of equalities. First, subtract 2 from both sides of the equation to isolate the term with x:
5x + 2 - 2 = 27 - 2
5x = 25
Next, use the inverse operation of multiplication to isolate x. divide both sides of the equation by 5 to undo the multiplication:
5x ÷ 5 = 25 ÷ 5
x = 5
You used the inverse operations of subtraction and division, as well as the property of equality that states that we can perform the same operation on both sides of an equation and still have an equivalent equation.
In a person’s body, 6 in every 24 bones are in the feet. If there are 206 bones in the body, predict how many bones are in the feet.
Answer:
around 52 or 51
Step-by-step explanation:
6/24=.25
.25 * 206=51.5
What is the Unit price of 20 tickets for $14.00 ?
Answer: 1 ticket = 70 cents.
Step-by-step explanation:
If you get 20 tickets for 14.00, then we have to divide 14 by 20.
14 ÷ 20 = 0.7, or 70 cents. Because of this, each ticket will cost 70 cents.
Solve for the x
\(\frac{36}{x}\) = -9
\(\huge\bf\underline{\underline{\pink{A}\orange{N}\blue{S}\green{W}\red{E}\purple{R:-}}}\)
\(:\implies\sf{ \frac{36}{x} = - 9} \\ \\ :\implies\sf{ \frac{36}{ 9} = -x} \\ \\ :\implies\sf{4 = -x} \\ \\ :\implies\sf{x = -4}\)
Describe how the given function can be obtained from one of the basic graphs. Then graph the function. g(×)=(×+1)^2 + 4Describe how the given function can be obtained from one of the basic graphs.Start with the graph of f(×)=[__]. Shift it [___] 4 units.Graph the equation.
ANSWER
Start with the graph of f(x) = x². Shift it left 1 unit and then shift it up 4 units:
EXPLANATION
The graph of f(x) = x² is
If we shift it 1 unit left:
Then 4 units up:
Today only, a sofa is being sold at a 27% discount. The sale price is $511. What was the price yesterday?
Since we have that the sale price is $511, then this represents the 100-27%=73% of the total price. Then, using a rule of three we have:
\(\begin{gathered} 511\rightarrow73\text{ \%} \\ x\rightarrow100\text{ \%} \\ \Rightarrow x=\frac{100\cdot511}{73}=\frac{51100}{73}=700 \\ x=700 \end{gathered}\)therefore, the original price of the sofa was $700
(1 ÷ 2 3 ⁄ 4 ) + (1 ÷ 3 1 ⁄ 2 ) = _____.
Answer:
50/77
Step-by-step explanation:
(1÷2 3/4)+(1÷3 1/2)
2 3/4 is same as 11/44
1/2 is same as 7/2
so to divide fraction you have to flip the second number and multiply
so 1 times 4/11=4/11
and 1 times 2/7=2/7
4/11 +2/7=28/77+22/77=50/77
How many solutions does the system of linear equations have? Use the drop-down menus to explain your answer.
y = 34x + 12
y = 43x
The given system of linear equations has a unique solution or only one solution.
Given system of linear equations:
y = 34x + 12 ...(1)
y = 43x ...(2)
We need to find how many solutions does the system of linear equations have
For this, there are three possibilities:
Case 1: The given system of equations has a unique solution, that is only one solution.
Case 2: The given system of equations has no solution, that is the lines are parallel.
Case 3: The given system of equations has infinitely many solutions, that is both the lines coincide with each other.
Let's find the solutions of the given system of equations by comparing equation (1) and equation (2):
Comparing equation (1) and equation (2), we get:34x + 12 = 43x
Solving the above equation for x, we get:
9x = 12x = 12/9x = 4/3
Putting the value of x = 4/3 in equation (2), we get:
y = 43 × 4/3y = 172/3y = 57.33
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Which expression is equivalent to startfraction c squared minus 4 over c 3 endfraction divided by startfraction c 2 over 3 (c squared minus 9) endfraction? startfraction c 3 over c squared minus 4 endfraction times startfraction c 2 over 3 (c squared minus 9) endfraction startfraction c squared minus 4 over c 3 endfraction divided by startfraction 3 (c squared minus 9) over c 2 endfraction startfraction c squared minus 4 over c 3 endfraction times startfraction 3 (c squared minus 9) over c 2 endfraction startfraction c squared minus 4 over c 3 endfraction times startfraction c 2 over 3 (c squared minus 9) endfraction
The options have not been given but three correct alternatives have been presented as the solution.
We have given,
\(\frac{c^2-4}{c+3} /\frac{c+2}{3(c^2-9)}\)
Applying the rule a^2-b^2 to the numerator of the first term and the denominator of the second term,
What is the rule of a^2-b^2?\((a^2-b^2)=(a-b)(a+b)\)
By applying the above formula we have:
\(=\frac{c^2-2^2}{c+3} /\frac{c+2}{3((c+3)(c-3)}\)
\(=\frac{(c-2)(c+2)}{c+3} /\frac{c+2}{3((c+3)(c-3)}\)
Therefore the solution is,
\(=(c-2) \times 3(c-3)\\\\=3(c^2-5c+6)\\\\=3c^2-15c+18\)
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Answer:
C.) StartFraction c squared minus 4 Over c + 3 EndFraction times StartFraction 3 (c squared minus 9) Over c + 2 EndFraction"/>
Step-by-step explanation:
Which expression is equivalent to StartFraction c squared minus 4 Over c + 3 EndFraction divided by StartFraction c + 2 Over 3 (c squared minus 9) EndFraction?
StartFraction c + 3 Over c squared minus 4 EndFraction times StartFraction c + 2 Over 3 (c squared minus 9) EndFraction
StartFraction c squared minus 4 Over c + 3 EndFraction divided by StartFraction 3 (c squared minus 9) Over c + 2 EndFraction
StartFraction c squared minus 4 Over c + 3 EndFraction times StartFraction 3 (c squared minus 9) Over c + 2 EndFraction
StartFraction c squared minus 4 Over c + 3 EndFraction times StartFraction c + 2 Over 3 (c squared minus 9) EndFraction
For the first week of December, the daily low temperatures (°F) were: 36, 40, 38, 41, 40, 32, 34. What was the mode?
Answer:
40
Step-by-step explanation:
Mode represents the highest number/ highest number of quality
In this case 40 Is both
What is the slope of the line that passes through the points (6,10) and (1,13)
Answer:
\(-\frac{3}{5}\)
Step-by-step explanation:
so I like to think of slope as rise/run
the "rise" is the difference between the two y's and the run is the difference between the two x's. there isn't a particular order, but make sure that if you use the first coordinate's y first and then the second y, that you do the same for finding the difference between the x's because signs are important.
so, to solve this one:
\(\frac{10-13}{6-1} =\frac{-3}{5}\)
The hourly revenue of a certain clothes manufacturer is represented by the function f(x) = -0.082x2 + 7.3x + 3.6 for the domain [0, 89]. According to this model, what is the maximum revenue this clothes manufacturer can have in an hour?
Answer:
166.07
Step-by-step explanation:
since the domain is [0,89] means the maximum amount is when x=89
vertex is where it reached the maximum amount:(44.512,166.07)
please help meeee!!!!!
Step-by-step explanation:
3. First, let's find the length of AB:
22²+14² = AB²
680 = AB²
AB = √680
AB ≈ 26.08
The sin of x° is equal to 14/2608
14/26.08 ≈ 0.54
Now you do the asin of 0.54:
asin(0.54) = 32.68°
4. The cos(41°) = x/34, and also the value of cos(41°) ≈ 0.75, so:
0.75 = x/34
x = 34•0.75
x = 25.5°
Latasha ran a mile in 7.03 minutes and Erik ran a mile in 6.8 minutes. How many more minutes did it take Latasha to run the mile?
0.23
0.35
0.5
0.95
Latasha needs to run 0.23 minutes more minutes to complete the mile.
What is the speed of a runner?
The speed of a runner is the ratio of the distance covered in a specific time.
Given,
Latasha ran a mile in 7.03 minutes and Erik ran a mile in 6.8 minutes.
Therefore, difference in time = (7.03 - 6.8) minutes = 0.23 minutes.
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Given g(x)=−23(x−4)2+3, g ( x ) = − 2 3 ( x − 4 ) 2 + 3 , what is the value of g(–5)? *Type in your answer. g(–5) =
The output value of g( -5 ) in the function g( x ) = −23( x - 4 )2 + 3 is 417.
What is the output value of g(-5) in the given function?A function is simply a relationship that maps one input to one output, that is, each x-value can only have one y-value.
Given the data in the question;
g( x ) = −23( x - 4 )2 + 3g( -5 ) = ?To find the g( - 5 ), replace all the occurrence of x with -5 in the function and simplify.
g( x ) = −23( x - 4 )2 + 3
g( -5 ) = −23( -5 - 4 )2 + 3
g( -5 ) = −23( -9 )2 + 3
g( -5 ) = −23( -9 × 2) + 3
g( -5 ) = −23( -18) + 3
g( -5 ) = ( -23 × -18) + 3
g( -5 ) = ( 414 ) + 3
g( -5 ) = 414 + 3
g( -5 ) = 417
Therefore, the output value of g( -5 ) is 417.
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An entomology research team interested in controlling the spread of winter moths, an insect pest in the northeastern United States, samples a 150-square-meter patch of woodland with four quadrats of 1 meter by 1 meter each. In quadrats A, B, C, and D, respectively, 10, 20, 35, and 15 individual winter moths are found. What is the best estimate for the total number of winter moths in that patch of woodland
The best estimate for the total number of winter moths in the patch of woodland is 12,000 moths.
We have,
Calculate the average number of moths per square meter in the sampled quadrats:
Quadrat A has 10 moths in 1 square meter, so it has 10 moths per square meter.
Quadrat B has 20 moths in 1 square meter, so it has 20 moths per square meter.
Quadrat C has 35 moths in 1 square meter, so it has 35 moths per square meter.
Quadrat D has 15 moths in 1 square meter, so it has 15 moths per square meter.
Calculate the total number of moths per square meter in all the quadrats:
Total moths per square meter
= (10 + 20 + 35 + 15) moths
= 80 moths per square meter.
Calculate the estimated total number of moths in the 150-square-meter patch of woodland by multiplying the average moths per square meter by the total area:
Estimated total moths = (80 moths per square meter) * (150 square meters)
= 12,000 moths.
Thus,
The best estimate for the total number of winter moths in the patch of woodland is 12,000 moths.
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Write a cosine function that has a midline of 2, an amplitude of 3 and a period of 7π/4.
PLS EXPLAIN! THXS!
Answer:
\(y=3\cos(\frac{8}{7}x)+2\)
Step-by-step explanation:
Recall
General cosine function: \(y=a\cos(bx+c)+d\)\(|a|\) represents the amplitude, or the distance between the maximum/minimum of the function and the midline\(\frac{2\pi}{|b|}\) represents the period, or the length of a cycle of the function which repeats continuously\(-\frac{c}{b}\) is the phase shift/vertical shift\(d\) is the midline, or the average between the maximum and the minimum, creating a horizontal center lineWe are given that the amplitude is \(a=3\) and that the equation of the midline is \(d=2\). Since we know the period to be \(\frac{7\pi}{4}\), we need to solve for \(b\) by setting up the equation \(\frac{7\pi}{4}=\frac{2\pi}{|b|}\):
\(\frac{7\pi}{4}=\frac{2\pi}{|b|}\\\\7\pi b=8\pi\\\\b=\frac{8}{7}\)
Hence, our cosine function will be \(y=3\cos(\frac{8}{7}x)+2\). See the attached graph for a visual.
a small jet can carry up to passengers and crew members. there is a weight restriction of pounds on board. the combined weight of each passenger (or crew member) and his luggage has a mean of pounds, with a standard deviation of pounds. what is the probability that the weight limit will be exceeded when there are exactly passengers and crew members on board?
The probability that the weight limit will be exceeded when there are exactly 40 passengers and 3 crew members on board is 0.031.
Mean = 196 × 43
Mean = 8428
Std. Dev. = 63 × √(43)
Std. Dev. = 63 × 6.56
Std. Dev. = 413.28
Here, μ = 8428, σ = 413.1186 and x = 9200. We must calculate P(X ≥ 9200).
he central limit theorem states that, for a sufficiently large sample size, the sample mean of all observations will be approximately normally distributed, regardless of the distribution of the population from which it was sampled.
The Central Limit Theorem is used to get the associated z-value.
z = (x - μ)/σ
z = (9200 - 8428)/413.28
z = 772/413.28
z = 1.87
Therefore,
P(X ≥ 9200) = P(z ≤ (9200 - 8428)/413.1186)
P(X ≥ 9200) = P(z ≤ 772/413.1186)
P(X ≥ 9200) = P(z ≥ 1.87)
P(X ≥ 9200) = 1 - 0.9693
P(X ≥ 9200) = 0.031
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The complete question is:
A small jet can carry up to 40 passengers and 3 crew members. There is a weight restriction of 9200 pounds on board. The combined weight of each passenger (or crew member) and his luggage has a mean of 196 pounds, with a standard deviation of 63 pounds. What is the probability that the weight limit will be exceeded when there are exactly 40 passengers and 3 crew members on board? Carry your intermediate computations to at least four decimal places. Report your result to at least three decimal places.
When multiplying or dividing integers, if the signs are the same, you keep the sign for the answer
False
True
Answer:
False
Step-by-step explanation:
If you were to divide a negative number by a negative number, or multiply a negative number by a negative number, you would change the sign to positive as two negatives make a positive.
Answer:
False
Step-by-step explanation:
if you multiply two negative integers, you will get a positive result
For example
(-1) x (-2) = 2 (the sign of the answer is different from the sign of the two negative integers that we multiplied)
Gven that the expression p dollars for every q items describes a unit price. which statement must be true?
Answer:
p=q
Step-by-step explanation:
the second statement must be true.
If f(x) = 3x^2 – 2 and g(x) = 2x + 4, find (f – g)(x).
Answer:
3\(x^{2}\) -2x - 6
Step-by-step explanation:
Subtract the 2 functions so 3\(x^{2}\) - 2 - (2x + 4) so you get
3\(x^{2}\) - 2 -2x - 4 so add like terms you get 3\(x^{2}\) -2x - 6
Let y=f(x) be the particular solution to the differential equation dydx=ex−1ey with the initial condition f(1)=0. what is the value of f(−2) ? 0.217 0.217 0.349 0.349 0.540 0.540 0.759
the value of f(-2) is approximately 0.540.
To solve the differential equation dy/dx = e^x - e^y, we can use separation of variables:
dy / (e^y - e^x) = e^x dx
Integrating both sides, we get:
ln|e^y - e^x| = e^x + C
where C is the constant of integration. Since y = f(x) is a particular solution, we can use the initial condition f(1) = 0 to find C:
ln|e^0 - e^1| = 1 + C
ln(1 - e) = 1 + C
C = ln(1 - e) - 1
Substituting this value of C back into the general solution, we get:
ln|e^y - e^x| = e^x + ln(1 - e) - 1
Taking the exponential of both sides, we get:
|e^y - e^x| = e^(e^x) * e^(ln(1 - e) - 1)
Simplifying the right-hand side, we get:
|e^y - e^x| = e^(e^x - 1) * (1 - e)
Since f(1) = 0, we know that e^y - e^1 = 0, or equivalently, e^y = e. Therefore, we have:
|e - e^x| = e^(e^x - 1) * (1 - e)
Solving for y in terms of x, we get:
e - e^x = e^(e^x - 1) * (1 - e) or e^x - e = e^(e^y - 1) * (e - 1)
We can now use the initial condition f(1) = 0 to find the value of f(-2):
f(-2) = y when x = -2
Substituting x = -2 into the equation above, we get:
e^(-2) - e = e^(e^y - 1) * (e - 1)
Solving for e^y, we get:
e^y = ln((e^(-2) - e)/(e - 1)) + 1
e^y = ln(1 - e^(2))/(e - 1) + 1
Substituting this value of e^y into the expression for f(-2), we get:
f(-2) = ln(ln(1 - e^(2))/(e - 1) + 1)
Using a calculator, we get:
f(-2) ≈ 0.540
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point) We say a definite integral is improper if one is infinite, or if the is infinite.
A definite integral is said to be improper if one or both of the limits of integration are infinite, or if the integrand function has a vertical asymptote within the interval of integration.
In other words, an improper integral is one that cannot be evaluated using the usual techniques of integration, such as the fundamental theorem of calculus, because it involves infinite limits or a function that is not integrable over the interval.
For example, the definite integral of f(x) = 1/x from 1 to infinity is an improper integral because the upper limit of integration is infinity, which is not a finite number. Similarly, the definite integral of f(x) = ln(x) from 0 to 1 is an improper integral because the lower limit of integration is 0, and the function has a vertical asymptote at x=0.
To evaluate improper integrals, we use limit processes to determine whether the integral converges (has a finite value) or diverges (has an infinite value). If the integral converges, we can find its value by taking the limit of a related integral as one or both of the limits of integration approach infinity or zero.
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Determine the discriminant for the quadratic equation -3=x^2+4x+1. Based on the discriminant value, how many real number solutions does the equation have ? Discriminant value = b^2-4ac
Answer:
One real root (multiplicity 2).
Step-by-step explanation:
-3=x^2+4x+1
x^2 + 4x + 4 = 0
Discriminant = 4^2 - 4*1*4 = 0
There is one real root (multiplicity 2).
The equation has 1 real solution.
The quadratic function is given as:
\(-3=x^2+4x+1\)
Add 3 to both sides of the equation
\(3-3=x^2+4x+1 + 3\)
This gives
\(0=x^2+4x+4\)
Rewrite the equation as:
\(x^2+4x+4 = 0\)
A quadratic equation is represented as:
\(ax^2+bx+c = 0\)
By comparison, we have:
\(a =1\)
\(b =4\)
\(c = 4\)
The discriminant (d) is calculated as:
\(d =b^2 - 4ac\)
So, we have:
\(d =4^2 - 4 \times 1 \times 4\)
\(d =16 - 16\)
Evaluate like terms
\(d = 0\)
Given that the discriminant value is 0, it means that the equation has 1 real solution.
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The number of customers that come to a certain clothing store each day follows a normal distribution. The mean number of customers is 428, and the standard deviation is 32. What is the probability that more than 524 customers will come to the store on a given day?
A.
0.15%
B.
0.3%
C.
2.5%
D.
5%
Answer: the true answer is A
Step-by-step explanation:
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Using the normal distribution, it is found that the probability that more than 524 customers will come to the store on a given day is given by:
A. 0.15%.
Normal Probability DistributionThe z-score of a measure X of a normally distributed variable with mean \(\mu\) and standard deviation \(\sigma\) is given by:
\(Z = \frac{X - \mu}{\sigma}\)
The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.In this problem, the mean and the standard deviation are given, respectively, by:
\(\mu = 428, \sigma = 32\).
The probability that more than 524 customers will come to the store on a given day is one subtracted by the p-value of Z when X = 524, hence:
\(Z = \frac{X - \mu}{\sigma}\)
\(Z = \frac{524 - 428}{32}\)
Z = 3
Z = 3 has a p-value of 0.9985.
1 - 0.9985 = 0.0015 = 0.15%.
Hence option A is correct.
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