Answer:
3 and 5
Step-by-step explanation:
You have to realize that Integers is another word for numbers
The scatter plot below shows the average price per pounding shrimp each year. Which is the equations or the line of best fit?
A)y= -0.137 + 272
B)Y=0.137x - 272
C)y= 1.372 - 295
D)y= 28.70 + 251
Answer:
I think it's a but I'm not sure
what is the slope of a line perpendicular to y=-1/2x-2
m = -(1/2)
Step-by-step explanation:
[tex]y = - \frac{1}{2} x - 2[/tex]
The line is written in slope intercept form :
y = mx+b
Where ;
m = Slope
According to the equation,
[tex]m = - \frac{1}{2} [/tex]
1. Use the distributive property to multiply each expression.
2. Recall that i2=-1. Simplify each expression. Write any complex numbers in standard form, a+bi, and write binomials in standard quadratic form.
3. Compare and contrast the multiplication of real numbers and the multiplication of complex numbers.
6x(3+2x)=
6i(3+2i)=
Answer:
Step-by-step explanation:
The multiplication of 6x(3+2x) is 18x + 12x² and 6i(3+2i) is 18i - 12 because i² can be written as -1.
What is a complex number?It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.
It is given that:
The expression:
= 6x(3 + 2x)
After using distributive property:
= 18x + 12x²
= 6i(3+2i)
= 18i + 12i²
= 18i - 12
∵i² = -1
Real and complex numbers are multiplied in exactly the same way, with the exception that we can further condense the complex expression by substituting i² for -1.
Thus, the multiplication of 6x(3+2x) is 18x + 12x² and 6i(3+2i) is 18i - 12 because i² can be written as -1.
Learn more about the complex number here:
brainly.com/question/10251853
#SPJ2
Suppose the time spent by a randomly selected student who uses a terminal connected to a local time-sharing computer facility has a gamma distribution with mean 12 min and variance 36 min. (a) What are the values of a and ? B = (b) What is the probability that a student uses the terminal for at most 18 min? (Round your answer to three decimal places.) (c) What is the probability that a student spends between 15 and 27 min using the terminal? (Round your answer to three decimal places.)
A. The values of α and β are α = 36 and β = 3.
B. Calculating this value using a statistical software or table, we find P(X ≤ 18) ≈ 0.795.
C. The probability that a student spends at most 18 min using the terminal is approximately 0.795, and the probability that a student spends between 15 and 27 min is approximately 0.592.
(a) In a gamma distribution, the mean (μ) and variance (σ^2) are related to the shape parameter (α) and rate parameter (β) as follows:
μ = α / β
σ^2 = α / β^2
Given that the mean is 12 min and the variance is 36 min, we can set up the following equations:
12 = α / β
36 = α / β^2
To solve these equations, we can divide the second equation by the first equation:
36 / 12 = α / β / (α / β^2)
3 = β
Substituting the value of β back into the first equation:
12 = α / 3
α = 36
So, the values of α and β are α = 36 and β = 3.
(b) To find the probability that a student uses the terminal for at most 18 min, we can use the cumulative distribution function (CDF) of the gamma distribution. The CDF for a gamma distribution is given by:
F(x) = 1 - Γ(α, βx) / Γ(α)
where Γ(α, βx) is the incomplete gamma function.
Using this formula, we can calculate the probability:
P(X ≤ 18) = 1 - Γ(36, 3 * 18) / Γ(36)
Calculating this value using a statistical software or table, we find P(X ≤ 18) ≈ 0.795.
(c) To find the probability that a student spends between 15 and 27 min using the terminal, we can subtract the probabilities of being below 15 min from the probability of being below 27 min:
P(15 ≤ X ≤ 27) = P(X ≤ 27) - P(X ≤ 15)
Using the same formula as in part (b), we can calculate these probabilities:
P(X ≤ 27) = 1 - Γ(36, 3 * 27) / Γ(36)
P(X ≤ 15) = 1 - Γ(36, 3 * 15) / Γ(36)
Subtracting these probabilities, we find P(15 ≤ X ≤ 27) ≈ 0.592.
Therefore, the probability that a student spends at most 18 min using the terminal is approximately 0.795, and the probability that a student spends between 15 and 27 min is approximately 0.592.
Learn more about probability from
https://brainly.com/question/30390037
#SPJ11
You and some friends are going to the fair. Small rides costs 4 tickets and while big rides costs 7 tickets. You and your friends bought a total of 250 tickets. Write an inequality to represent the different combinations of small and big you can enter.
Answer:
4x+7y≤250
Step-by-step explanation:
Inequalities
Let's call:
x = number of small rides
y = number of big rides
Since each small ride costs 4 tickets, x rides cost 4x tickets.
Since each big ride costs 7 tickets, y rides cost 7y tickets.
The total number of tickets is the sum of both:
Total tickets = 4x+7y
The friends have 250 tickets, so the total tickets of the rides cannot be greater than the 250 tickets available, thus:
4x+7y≤250
Linear functions are expressed by the graph and equation. Select all that apply.
The slope is positive for both functions.
The equation has a steeper slope than the line in the graph.
The y-intercept is the same for both.
The graph and the equation express an equivalent function.
Answer:
C and D
Step-by-step explanation:
Answer:
a and c
Step-by-step explanation:
What is the ratio of 3 to 245%? Please Help ASAP.
Thank You.
9514 1404 393
Answer:
60/49
Step-by-step explanation:
245% = 245/100, so the ratio is ...
3/(245/100) = 300/245 = 60/49 . . . as reduced fraction
The ratio 3 : 245% is 60 : 49, or 60/49.
__
As a decimal, it is about 1.2244898. The repeating decimal fraction has a 42-digit repeat.
I need help!!!!!!!!!!!!!!!!!!
Answer:
just do what she needs to pay for the first year minus what her uncle gave her then divide by 12
Step-by-step explanation:
Ayden spent 35 minutes studying for his math test. He scored a 72%. Olivia spent 75 minutes studying, and scored a 97%. Assume there is a linear relationship between these two quantities. Write an equation to represent the score a student got on the test as a function of the amount of time spent studying.
Answer:
s = 0.625t + 50.125
Step-by-step explanation:
Let the equation that represents the relation between the time of study and marks obtained is,
s = mt + b
Here 's' = marks scored by the students
m = marks obtained by the study per minute
t = duration of study
b = marks obtained without study
Slope of the line having points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by,
m = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
Slope of the line passing through two points (35, 72) and (75, 97)
m = [tex]\frac{97-72}{75-35}[/tex]
m = [tex]\frac{25}{40}[/tex]
m = 0.625
Equation of the line will be,
y = 0.625t + b
Since this line passes through (35, 72),
72 = 0.625(35) + b
b = 72 - 21.875
b = 50.125
Therefore, equation representing duration of study and the score obtained will be,
s = 0.625t + 50.125
Please Help! Brainliest Answer!
Answer:
D
Step-by-step explanation:
Using sine rule
a/sin A ＝b/sin B
8/sin90° ＝ x/sin60°
8 * sin60° ＝ x
x ＝
[tex]4 \sqrt{3} [/tex]
For a certain company, the cost for producing x items is 50x+300 and the revenue for selling x items is 90x−0.5x2.
The profit that the company makes is how much it takes in (revenue) minus how much it spends (cost). In economic models, one typically assumes that a company wants to maximize its profit, or at least wants to make a profit!
Part a: Set up an expression for the profit from producing and selling x items. We assume that the company sells all of the items that it produces. (Hint: it is a quadratic polynomial.)
Part b: Find two values of x that will create a profit of $300.
The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2;4;6 or x+1;x−1). The order of the list does not matter. To enter a−−√, type sqrt(a).
x=
Part c: Is it possible for the company to make a profit of $15,000?
Feedback
This is a typical model used in "microeconomics", the economic study of a firm.
In your Discussion post, don't just post your final answers. It's very important that you explain to your classmates how you arrived at those answers.
It helps to start by choosing good names for the variables. It would make sense here to have x be the number of items, C be the Cost of producing x items, R be the Revenue from selling x items, and P be the Profit from producing and selling x items.
Part a: Write expressions for C and R, the cost and revenue, in terms of the variable x. The profit P that a company makes is the revenue minus cost, or P=R−C. You need to write P also in terms of the variable x.
Part b: Finding two production/sales levels x that create a profit of $300 means solving the equation P=$300. Use your formula for P from Part a and apply what you learned about solving quadratic equations in Module 2 to solve for x. You saw several different methods (factoring, completing the square, quadratic formula, etc.) and can use whichever one you choose.
Part c: This is similar to Part b, but instead you need to solve the equation P=$15,000. Hint - the quadratic equation might be the easiest method for this part
Part a: To set up an expression for the profit from producing and selling x items, we need to find the difference between the revenue and cost functions. Cost function is given as C(x) = 50x + 300Revenue function is given as R(x) = 90x - 0.5x².
Profit function P(x) = R(x) - C(x)P(x) = [90x - 0.5x²] - [50x + 300]P(x) = -0.5x² + 40x - 300Therefore, the quadratic polynomial representing profit is P(x) = -0.5x² + 40x - 300.
Part b: To find two values of x that will create a profit of $300, we need to equate P(x) to 300 and solve for x.-0.5x² + 40x - 300 = 300-0.5x² + 40x - 600 = 0x² - 80x + 1200 = 0x² - 8x + 120 = 0( x - 6)( x - 20 ) = 0Therefore, x = 6 or x = 20 when profit is $300.
Part c: We need to check whether the company can make a profit of $15,000 or not by equating P(x) to 15000 and solving for x.-0.5x² + 40x - 300 = 15000-0.5x² + 40x - 15300 = 0x² - 80x + 30600 = 0.
Dividing both sides by 20, x² - 4x + 1530 = 0Since the discriminant, b² - 4ac = 4² - 4(1)(1530) = -6076 < 0, the equation does not have any real roots. Hence, it is not possible for the company to make a profit of $15,000.
Part a: The profit from producing and selling x items can be expressed as a quadratic polynomial P(x) = -0.5x² + 40x - 300.Part b: Two values of x that will create a profit of $300 are x = 6 or x = 20.Part c: It is not possible for the company to make a profit of $15,000.
For this question, we have to find the profit function of a company that is represented by the difference between the revenue and cost functions. The cost of producing x items is given as C(x) = 50x + 300 and the revenue from selling x items is given as R(x) = 90x - 0.5x².
Therefore, the profit P(x) can be expressed as P(x) = R(x) - C(x). After substituting the expressions for R(x) and C(x) in the formula for profit, we get P(x) = -0.5x² + 40x - 300, which is a quadratic polynomial. To find two values of x that will create a profit of $300, we need to set P(x) = 300 and solve for x. We get two values of x, x = 6 and x = 20. Finally, to find whether it is possible for the company to make a profit of $15,000 or not, we need to set P(x) = 15000 and solve for x. After simplifying, we get a quadratic equation x² - 4x + 1530 = 0, which does not have any real roots. Therefore, it is not possible for the company to make a profit of $15,000.
We have found the profit function, two values of x that will create a profit of $300, and checked whether the company can make a profit of $15,000 or not.
To know more about quadratic polynomial :
brainly.com/question/17489661
#SPJ11
What is the value of x in the equation below?
11.9 - 0.8x = 4.5
A
--6.6
B
9.25
С
17.2
D
20.5
Answer: B 9.25
Step-by-step explanation:
You lose four points each time you attend gym class without sneakers. You forget your sneakers three
times. What integer represents the change in your points?
what is the answer to 5
Answer:
6
Step-by-step explanation:
bejsnsjsnsjsnsjmdkd
Answer:
5x+7=2x+4
3x+7=4 (subtract 2x)
3x = 4-7 (subtract 7)
3x = -3 (divide)
x = -3/3
x = -1
Let f(x) ) = sin x and g(x) = cos x, and W = span{f,g}. 10.1 Use the Wronskian to show that f and g are linearly independent. (3) (3) 10.2 For a € R, let f₁(x) = sin(x + a) and g₁(x) = cos(x + a). Show that f1,91 € W. 10.3 Show that {f1,91} is linearly independent.
In this problem, we are given two functions f(x) = sin(x) and g(x) = cos(x), and we need to perform several tasks related to their linear independence and span.
To show that f and g are linearly independent, we can use the Wronskian. The Wronskian of f and g is given by W(f, g) = f'(x)g(x) - f(x)g'(x). By calculating the Wronskian and showing that it is non-zero for all x, we can conclude that f and g are linearly independent.
For the functions f₁(x) = sin(x + a) and g₁(x) = cos(x + a), we need to show that they belong to the span of W, i.e., they can be expressed as linear combinations of f and g. By manipulating the expressions of f₁ and g₁ using trigonometric identities and properties, we can rewrite them in terms of f and g, demonstrating that f₁ and g₁ can be spanned by W.
To show that {f₁, g₁} is linearly independent, we need to prove that no non-trivial linear combination of f₁ and g₁ can equal the zero function. By assuming that there exist coefficients not all zero, we can construct a linear combination and show that it does not vanish, implying linear independence.
By performing these steps, we establish the linear independence of f and g using the Wronskian, demonstrate that f₁ and g₁ belong to the span of W, and prove the linear independence of {f₁, g₁}.
Learn more about Wronskian here
https://brainly.com/question/31483439
#SPJ11
X + 13/5 = 51 Brainly
Answer:48.4
Step-by-step explanation:first do 13/5 then take that answer and take 51 subtract it from the answer u got from 13/5
Given the height of a giraffe (20 ft) how tall would it be if you added 40 more different giraffes? Please explain your answer.
Answer:
800 ft
Step-by-step explanation:
You would have to multiply one girraf by 40 (40 x 20), then you would get 800.
40
x20
00
+ 800
800
The math club and the Latin club both ordered pizzas for their end-of-year banquets. After the banquets, the math club had 1 1/8 pizzas leftover and the Latin club had 2 3/8 pizzas leftover. Between the two clubs, how many total pizzas were leftover?
A. 1 1/8
B. 3 1/2
C. 1 1/4
D. 3 1/4
Answer: B. 3 1/2
Step-by-step explanation:
Hope this helps
which is an incorrect rounding for 53.864
Answer:
53.87
Step-by-step explanation:
6. a Suppose the measure of an angle is 25°. What is the measure of its complementary angle?
Answer:
65
Step-by-step explanation:
a complementary angle is either of two angles whose sum is 90°.
90 - 25 = 65
Answer:
65°
Step-by-step explanation:
A pair of complementary angles' measurements combined is equal to 90° in measurement. One of the angles given is 25°. To find the other one, simply subtract 90 with 25:
90 - 25 = 65
65° is the measurement of the complementary angle.
~
So right now i'm doing "solving Inequalities" i need help with this question
3v-12>5v+10
Answer:
v < -11
Step-by-step explanation:
Combine like terms: 3v - 5v > 12 + 10Simplify: -2v > 22Divide each side by -2 to cancel out the -2 next to v. It should now look like this: v < -11I hope this helps!
Sam is collecting pennies. On the first day of the month, Samnis given 16 pennies. Each day after that he gets 4 more pennies. Which of the following equations defines how many pennies he has after the nth day?
A. an = 16n + 4
B. an = 4n + 16
C. an = 4n + 16
D. an = 64n - 64
Answer:
The answer is 4n + 16
Step-by-step explanation:
N is the number of days that pass by. Each day Sam gets 4 more, meaning you would multiply the number of days by 4, before adding that number to the original number of pennies, which was 16.
The required equation that defined the pennies after nth day is 16 + (n - 1)4.
What is arithmetic progression?Arithmetic progression is the series of numbers that have common differences between adjacent values are same.
What is geometric progression?Geometric progression is a sequence of series whose ratio with adjacent values remains the same.
here,
Samnis gave 16 pennies. Each day after that he gets 4 more pennies.
So first term = 16
Common difference = 4
nth term is given as = a + (n - 1)d
nth term = 16 + (n - 1)4
Thus, the required equation that defined the pennies after nth day is 16 + (n - 1)4.
Learn more about arithmetic progression here: https://brainly.com/question/20334860
#SPJ5
Determine the values of the principal square roots.
V25 =
V64 =
V100
Answer:
Correct V100 is right
Step-by-step explanation:
A soccer player kicks a ball downfield. The height of the ball increases until it reaches a maximum height of 8 yards, 20 yards away from the player. A second kick is modeled by y=x(0,4 – 0.008x). Which kick travels farther before hitting the ground? Which kick travels higher?
Answer:
second kick goes fartherfirst kick goes higherStep-by-step explanation:
Assuming the kick started from ground level, the path of the ball is assumed to be symmetrical about the high point. That is, the first kick will land 2×20 = 40 yards downfield.
The equation for the second kick can be rewritten as ...
y = 0.008x(50 -x)
The value of y will be zero at x=0 and at x=50. The second kick will land 50 yards downfield, a greater distance than the first kick.
At x=25, the height of the second kick is ...
y = 0.008(25)(50-25) = 5 . . . yards
The second kick travels farther (50 yds vs. 40 yds).
The first kick travels higher (8 yds vs. 5 yds).
a total of 387 tickets were sold for the school play. they were either adult tickets or student tickets. there were 63 fewer student tickets sold than adult tickets. how many adult tickets were sold?
Student Tickets - x-64
Adult Tickets - x
x+x-64=386
2x=450
x=225
225 adult tickets were sold,
161 student tickets were sold.
Hope that helps!
whats more likely to happen on dice?
roll 2 evens
or
roll 2 doubles
Answer:
2 evens
Step-by-step explanation:
Answer:
2 evens
Step-by-step explanation:
20 PT PLZZ HELP ASAP
C=4.95+ 3.99b 3.99 per book plus 4.95 fee paid once a month
Create a graph of your equation
Answer:
see below
Step-by-step explanation:
C=4.95+ 3.99b
The slope is 3.99 and the y intercept is 4.95
As |a| increases, the parabola becomes
Answer:
1: Narrower
2: Wider
Step-by-step explanation:
The magnitude of 'a' increases, the parabola becomes more and more wider.
What is Parabola?A parabola is a curve where any point is at an equal distance from a fixed point (the focus), and a fixed straight line (the directrix).
Given is a parabola.
The parametric form of equation of parabola is given by -
y² = 4ax
Here, distance 'a' is called focus of parabola.
For a constant value of x - coordinate, take different values of 'a'. For constant x, we get the following relation -
y² [tex]\alpha[/tex] a
As the magnitude of 'a' increases, the y coordinate increases and parabola becomes more and more wider.
Therefore, the magnitude of 'a' increases, the parabola becomes more and more wider.
To solve more questions on parabola, visit the link below-
https://brainly.com/question/21685473
#SPJ5
4,000 10,000 BAC = ? BCWS = ? BCWP = ? 12,000 4,000 6,000 TIME- -Today 6,000 LEGEND COMPLETED NOT COMPLETED 10,000
The project has a Budget at Completion (BAC) of $10,000, a Budgeted Cost of Work Scheduled (BCWS) of $12,000, and a Budgeted Cost of Work Performed (BCWP) of $4,000.
The information provided seems to be related to project management and uses the Earned Value Management (EVM) technique. EVM is a project control technique that integrates scope, schedule, and cost to measure project performance and progress. Let's analyze the given data:
BAC = Budget at Completion = $10,000
BCWS = Budgeted Cost of Work Scheduled = $12,000
BCWP = Budgeted Cost of Work Performed = $4,000
In EVM, these values represent the planned and actual costs of the work performed on the project. Here's a breakdown of the terms:
BAC (Budget at Completion) represents the total budgeted cost for completing the project. In this case, it is $10,000.
BCWS (Budgeted Cost of Work Scheduled) represents the budgeted cost for the work scheduled or planned to be performed. It indicates the planned value of the work at a specific point in time. In this case, it is $12,000. This suggests that the project has been delayed or additional work has been added, resulting in a higher planned cost compared to the original budget.
BCWP (Budgeted Cost of Work Performed) represents the budgeted cost for the work that has actually been performed or completed. It indicates the earned value of the work at a specific point in time. In this case, it is $4,000. This suggests that only a portion of the planned work has been completed, resulting in a lower actual cost compared to the planned cost.
Based on the given information, the project is behind schedule and has completed only a portion of the planned work. The BCWP of $4,000 is lower than both the BCWS of $12,000 and the BAC of $10,000, indicating that the project is not on track in terms of cost and progress.
Learn more about value here:
https://brainly.com/question/30145972
#SPJ11
The local linear approximation to the function g at x = -3 is y = 4x - 7. What is the value of g(-3) + g'(-3)?
The value of given function is obtained as g(-3) + g'(-3) is -15.
The given function is g(x) and the linear approximation of this function at x = -3 is given by y = 4x - 7.
Now, to find the value of g(-3) + g'(-3),
we need to first find the value of g(-3) and g'(-3).
The value of g(-3) can be found by substituting x = -3 in the given function g(x):
g(x) = 4x - 7
g(-3) = 4(-3) - 7
= -19
To find the value of g'(-3), we need to differentiate the function g(x) and substitute x = -3:
g(x) = 4x - 7
Differentiating with respect to x, we get:
g'(x) = 4
g'(-3) = 4
Substituting these values in the expression g(-3) + g'(-3), we get:
g(-3) + g'(-3) = -19 + 4
= -15
Know more about the linear approximation
https://brainly.com/question/30403460
#SPJ11
