Answer:
Step-by-step explanation:
A: quotient
B: dividend
C: divider
Simplify each expression.
1) 3(8Z² - 52 - 7)
2) 8d(2d-4)
6) 6(5x - 4)
7) 6q- 4
Answer:
1) 24Z^2 - 177.
2) 16d^2 - 32d.
6) 30x - 24.
7) 6q - 4.
Step-by-step explanation:
1) 3(8Z^2 - 52 - 7)
= 3(8Z^2 - 59)
= 24Z^2 - 177
2) 8d(2d - 4)
= (8d * 2d) - (8d * 4)
= 16d^2 - 32d
6) 6(5x - 4)
= (6 * 5x) - (6 * 4)
= 30x - 24
7) Already simplified. 6q - 4.
Hope this helps!
f(x) = (-9-3x)(x+4). Is this equation in factored form? If not, how do you convert it to that form?
The equation f(x) = (-9 - 3x)(x + 4), as represented is in its factored form
Checking if the equation is in factored form?From the question, we have the following parameters that can be used in our computation:
f(x) = (-9-3x)(x+4)
Express properly
f(x) = (-9 - 3x)(x + 4)
The above equation is a quadratic function
As a general rule, a quadratic function in factored form is represented as
f(x) = (ax + b)(cx + d)
When the equation are compared, we have
a = -3, b = -9
c = 1 and d = 4
This means that the equation f(x) = (-9 - 3x)(x + 4) is in factored form
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I NEED HELP ASAP PLS HURRY
Answer: C
Step-by-step explanation: The slope of Function A is 6 and the slope of Function B is 5.
a researcher applying watts’s mathematical models as described in the passage to research on the transmission of an airborne contagious disease can most reasonably assume that:
A small number of individuals could cause a widespread distribution of the disease.
A researcher applying Watts's mathematical models to study the transmission of an airborne contagious disease can most reasonably assume that:
1. The disease transmission follows a network-based spread pattern.
In Watts's mathematical models, the focus is on network structures and the dynamics of spreading phenomena. Therefore, the researcher can reasonably assume that the transmission of the airborne contagious disease is influenced by the connections and interactions within a network. This implies that individuals are not randomly interacting but are part of a network where the disease can propagate along the links.
The spread of the disease is influenced by the characteristics of the network.
Watts's models highlight the importance of the network structure in determining the spread of contagion. Therefore, the researcher can reasonably assume that factors such as network connectivity, node centrality, clustering, and other network properties significantly influence the transmission dynamics of the airborne contagious disease. These characteristics can affect the speed, reach, and severity of the disease's spread within the network.
By considering these assumptions, the researcher can utilize Watts's mathematical models to gain insights into how an airborne contagious disease might spread through a network and inform strategies for disease control and prevention.
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1. Verify that the following function is a solution of the given differential equation: 3 x² 2 y'+³y=x-1; _y=-1+3 5 4 [5 marks]
The given function y = -1 + 3x^5/4 is a solution of the given differential equation \(3x^2 * 2y' + 3y = x - 1.\)
To verify that the function y = -1 + 3x^5/4 is a solution of the given differential equation, we need to substitute this function into the differential equation and check if it satisfies the equation.
The first step is to calculate the derivative of y with respect to x, denoted as y'. Taking the derivative of -1 with respect to x gives us 0, and taking the derivative of 3x^5/4 with respect to x gives us (15/4)x^1/4.
Substituting these values into the differential equation, we get:
\(3x^2 * 2(15/4)x^1/4 + 3(-1 + 3x^5/4) = x - 1\)
Simplifying the equation further, we have:
\(45/2 x^7/4 - 3 + 9/4 x^5/4 = x - 1\)
Combining like terms, we get:
\(45/2 x^7/4 + 9/4 x^5/4 - 3 - x + 1 = 0\)
This equation holds true for all x, indicating that the given function y = -1 + 3x^5/4 is indeed a solution to the given differential equation.
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Arrange the equations in the correct sequence to find the inverse of f(2)=y==
33z-zy=y-4
33z +4=y(1+z)
33z-zy=y+4
33x+4=y+zy
1+z
y=f¹ (2) = 33274
+4
33z-zy = y +4
A =
33-
y=f-¹ (z) = 332+4
z (33-y)=y-4
↓
↓
↓
↓
Į
c ccccccccccccccccccccccccccccc
A hemisphere is placed on top of a cylinder with the same radius. The height of the cylinder is 10 inches and the radius is 3 inches. A hemisphere on top of a cylinder. What is the volume of this composite figure? Use the π button on your calculator to determine the answer. Round your answer to the hundredths place. The volume is approximately in3.
The composite figure has a volume of 339.29 cubic inches.
How to find the volume of the composite figure?We can break down the composite figure into two parts: a cylinder and a hemisphere.
The volume of the cylinder is given by the formula \(V = \pi r^2h,\) where r is the radius and h is the height. Substituting r = 3 in and h = 10 in, we get:
\(V_{cylinder} = \pi (3 in)^2(10 in) = 90\pi in^3\)
The volume of the hemisphere is given by the formula \(V = (2/3)\pi r^3.\) Since the hemisphere has the same radius as the cylinder, we can substitute r = 3 in:
\(V_{hemisphere} = (2/3)\pi (3 in)^3 = 18\pi in^3\)
To find the total volume of the composite figure, we add the volume of the cylinder and the hemisphere:
\(V_{total} = V_{cylinder} + V_{hemisphere} = 90\pi in^3 + 18\pi in^3 = 108\pi in^3\)
Rounding to the hundredths place, we get \(V_{total}\approx 339.29 in^3.\)
Therefore, the volume of the composite figure is approximately 339.29 cubic inches.
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add 6 and f, then add 10 to the result
Answer:
(6 + f) + 10
f + 16
263747_+'('-+'++'+58"-
report student again
-18x + 27 -10x=1 solve for x
Answer:
Solve each equation for x. 1. 12x² + 48x + 23 = -22 ... Solving Quadratic Equations (B) Answers ... 3x² + 18x + 27 = 0. 6x² - 2x - 48 = 0. (3x + 9) (x + 3) .
Step-by-step explanation:
2x(x−5)+(x−2)(x+3) hgjgjhfj
Answer:
3x² - 9x - 6
Step-by-step explanation:
2x (x - 5) + (x - 2) × (x + 3)
2x² - 10x + (x - 2) × (x + 3)
2x² - 10x + x² + 3x - 2x - 6
3x² - 10x + 3x - 2x - 6
(-10 + 3 - 2)x = -9x
= 3x² - 9x - 6
12x+15=12x (pls solve it step by step)
Answer:
no solutions
Step-by-step explanation:
12x+15=12x
Subtract 12x from each side
12x-12x+15=12x-12x
15 = 0
This is not a true statement so there are no solutions
Which among the following is the smallest 4- Digit number is divisible by 6,8 and 9
a} 2012 b}2160 c}2088 d}1008
Help me please i need help
Expand & simplify
(x + 2)(x + 6)
Step-by-step explanation:
=(x+2)(x+6)
=x²+6x+2x+12
=x²+8x+12
hope it helps..
Answer:
x^2+8x+12
Step-by-step explanation:
expanding the answer:x*x+8*x+12
The _____ is commonly used to examine whether two groups are significantly different from each other.
T-test is commonly used to examine whether two groups are significantly different from each other or not.
A t-test is an inferential statistic used to determine if there is a significant difference between the means of two groups and how they are related. T-tests are used when the data sets follow a normal distribution and have unknown variances, like the data set recorded from flipping a coin 100 times.
It is a statistical test that is used to compare the means of two groups. It is often used in hypothesis testing to determine whether a process or treatment actually has an effect on the population of interest, or whether two groups are different from one another.
T-test is used to determine whether two groups are different or not.
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The T-test is commonly used to examine whether two groups are significantly different from each other or not.
The T-test is an inference statistic used to determine whether two groups' means are significantly different and how they are related. The T-test is used when the data set is normally distributed and the variance is unknown, such as a data set recorded by tossing a coin 100 times. This is a statistical test used to compare the means of two groups. It is often used in hypothesis testing to determine whether a process or treatment actually affects a population of interest, or whether two groups differ from each other.A T-test is used to determine if two groups are different.
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Waht number is 120% of 140
Answer:
x:b116.67
Step-by-step explanation:
120/100
140×100/120
while reading a magazine, sarah came across the headline below. curious, she wonders if it's true and decides to practice her statistical skills by running a statistical analysis to test her hypothesis. she knows previous research has shown that an average of 10,354 harry potter books are sold in each of the 627 us barnes and noble book stores each year. to see if these sales have decreased, she randomly selects 30 us barnes and noble book stores and calculates an average of 8,103 books sold at each store, with a standard deviation of 2110.4. sarah calculates a test statistic of 5.84 with a p-value of .04. what is the correct statistical test in this situation and what would be sarah's statistical conclusion (assuming an alpha of .05)? while reading a magazine, sarah came across the headline below. curious, she wonders if it's true and decides to practice her statistical skills by running a statistical analysis to test her hypothesis. she knows previous research has shown that an average of 10,354 harry potter books are sold in each of the 627 us barnes and noble book stores each year. to see if these sales have decreased, she randomly selects 30 us barnes and noble book stores and calculates an average of 8,103 books sold at each store, with a standard deviation of 2110.4. sarah calculates a test statistic of 5.84 with a p-value of .04. what is the correct statistical test in this situation and what would be sarah's statistical conclusion (assuming an alpha of .05)? the correct test statistic is a one-sample t-test, and sarah should conclude that the average number of harry potter books sold in each barnes and noble bookstore has decreased significantly from the given average of 10,354. the correct test statistic is a z of x-bar, and sarah should conclude that the average number of harry potter books sold in each barnes and noble bookstore has decreased significantly from the given average of 10,354. the correct test statistic is a one-sample t-test, and sarah should conclude that the average number of harry potter books sold in each barnes and noble bookstore has not decreased significantly from the given average of 10,354. the correct test statistic is a z of x-bar, and sarah should conclude that the average number of harry potter books sold in each barnes and noble bookstore has not decreased significantly from the given average of 10,354.
The average number of Harry Potter books sold in each Barnes and Noble bookstore has decreased significantly from the given average.
Given in the question:
μ = 10354 (Population mean)
N = 627 (Population size)
n = 30 (Sample size)
X = 8103 (Sample mean)
б = 2110.4 (Sample standard deviation)
α = 0.05 (level of significant)
(1) Null and alternative Hypothesis
\(H_{0}\) : μ = 10354
\(H_{1}\) : μ < 10354
(2) Test Statistics: Since we don't know population standard deviation we will use t-test statistics instead of z-test statistics
Test statistics = 5.34 (Given)
(3) P-value = 0.04 (Given)
(4) Conclusion: Since P-value = 0.04 < α = 0.05 it is concluded that null hypothesis is rejected.
Hence option (C) is correct.
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Cooper obtains an experimental functions of the stream function and the velocity potential for a particular flow type which are given by ψ=2xy and φ=x
2
−y
2
. Show that the conditions for continuity and irrotational flow are satisfied.
The given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.
To show continuity, we need to verify that the partial derivatives of ψ and φ with respect to x and y are equal. Let's calculate these partial derivatives:
∂ψ/∂x = 2y
∂ψ/∂y = 2x
∂φ/∂x = 2x
∂φ/∂y = -2y
From the above calculations, we can see that the partial derivatives of ψ and φ with respect to x and y are equal. Therefore, the condition for continuity, which requires the equality of partial derivatives, is satisfied.
To show irrotational flow, we need to verify that the curl of the velocity vector is zero. The velocity vector can be obtained from the stream function ψ and velocity potential φ as follows:
V = ∇φ x ∇ψ
Taking the curl of V:
∇ x V = ∇ x (∇φ x ∇ψ)
Using vector calculus identities and simplifying the expression, we find:
∇ x V = 0
Since the curl of the velocity vector is zero, the condition for irrotational flow is satisfied.
Therefore, based on the calculations and verifications, we can conclude that the given functions ψ = 2xy and φ = x^2 - y^2 satisfy the conditions for continuity and irrotational flow.
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Find the discount on a leather recliner with a regular price of $240 if the recliner is 10% off. What is the sale price of the recliner?
The discount on the leather recliner is $___
Answer:
Sale price = $216, Discount = 24$
Step-by-step explanation:
100%-10%=90%
240 x .90 = $216 (sale price)
240-216 = $24 off
In 1906, San Francisco felt the impact of an earthquake with a magnitude of 7.8. Many pundits claim that the worst is yet to come, with an earthquake 133,680 times as intense as the 1989 earthquake ready to hit San Francisco. If the pundits ability to predict such earthquakes were correct, what would be the magnitude of their claimed earthquake? Round your answer to the nearest tenth.
Answer:
Magnitude of claimed earthquake = 10.363 (Approx)
Step-by-step explanation:
Magnitude of claimed earthquake = log√133,680 + 7.8
Magnitude of claimed earthquake = [1/2] log 133,680 + 7.8
Magnitude of claimed earthquake = 2.563 + 7.8
Magnitude of claimed earthquake = 10.363 (Approx)
Answer: ITS A MAGNITUDE 10 EARTHQUAKE 10.363 PERCICELY
A spinner with 8 equally sized slices has 2 red slices, 3 blue slices, and 3 yellow slices. What is the probability of stopping on a red or blue slice?
Answer:
The probability is 5/8
Step-by-step explanation:
whats -6 minus -2?
-6- -2
Simplify 4–8+ – 8+2c?
2c + 4, the 8's cancel out
Hi can you help explain this question. I have trouble writing statement and reasons for this question please. I get lost.
For the given figure, we will prove the triangles BGH and BDH are congruent.
So, the proof will be as follows:
Statement Reason
1) m∠F = m∠FEG = m∠FGE Given
2) ΔFGE is an equilateral triangle from (1), the definition of an equilateral Δ
3) FG = GE from (2), the definition of equilateral Δ
4) FG = ED Given
5) m∠ GEH = m∠DEH Given
6) EH = EH Reflexive property
7) ΔGEH ≅ Δ DEH SAS postulate
8) GH = DH from (7) CPCTC
9) m∠GHE = m∠DHE from (7) CPCTC
10) m∠GHB = m∠DHB Definition of supplementary angles
11) HB = HB Reflexive property
12) ΔBGH ≅ ΔBDH SAS postualte
13) ΔAGB is an isosceles Δ Given
14)AG = AB Definition of isosceles Δ
15) ΔBCD is an isosceles Δ Given
16) CB = CD Definition of isosceles Δ
17) CB = AG Given
18) m∠CDB = m∠CBD Definition of isosceles Δ
19) m∠ABG = m∠AGB Definition of isosceles Δ
20) m∠CDB = m∠AGB Given
21) m∠ABG = m∠CBD Transitive property
22) Δ AGB ≅ ΔCBD AAS postualte
Use special right triangles to solve for the exact value of x. 4 16 9
Answer:
16
Step-by-step explanation:
I took the test and that's the answer.
Answer:
16
Step-by-step explanation:
CHECK THE ATTACHMENT FOR THE FIQURE OF THE QUESTION;
✓The given figure is a special right triangle and it's a 30° 60° 90° angle.
The length of its side have the ratio of
1: √3: 2 i.e adjacent, opposite, Hypotenuse
✓ it has an Hypotenuse which is double in value to the adjacent.
✓ the adjacent ( shortest sides) = 8 unit,
Then the Hypotenuse= ( 2×8)= 16 units
a 12-pack of orange crush is priced at 3.00 a six-pack is priced at 1.75. which is the better value
Answer:
12 pack
Step-by-step explanation:
buying 2 of the 6 packs cost 3.50 while the 12 pack cost 3.00
Apply the methodology for solving linear programming problems using graphical method and simplex method. Maximize Z = 20X + 3Y Subject to: A1: 2X + 1Y ≤ 10 R2: 3X + 3Y≤ 18 R3: 2X + 4Y ≤ 20 X=0,Y>=0
The optimal solution is Z = -74, X = 4, Y = 2.
Maximize Z = 20X + 3Y
Subject to:
A1: 2X + Y + S1 = 10
R2: 3X + 3Y + S2 = 18
R3: 2X + 4Y + S3 = 20
X = 0, Y ≥ 0
The initial tableau for the simplex method is given below.
The column labels represent the variables, and the row labels represent the equations and slack variables. The bottom row (RHS) represents the right-hand side values of the equations.
To find the optimal solution, we'll perform the simplex method iterations:
Iteration 1:
Pivot column: Y (the most negative coefficient in the Z row)
Pivot row: S2 (smallest positive ratio of RHS to coefficient in the pivot column)
Performing row operations:
Divide row S2 by 3 to make the pivot element (coefficient of Y) equal to 1.
Row S2 = Row S2 / 3
Row S2: 1 | 1 | 0 | 1/3 | 0 | 6
Eliminate other elements in the pivot column:
Row Z = Row Z - (3 * Row S2)
Row S1 = Row S1 - (1 * Row S2)
Row S3 = Row S3 - (0 * Row S2)
Row Z: 20 | 0 | 0 | -3 | 0 | -18
Row S1: 1 | 0 | 1 | -1/3 | 0 | 4
Row S3: 2 | 1 | 0 | -2/3 | 1 | 14
Iteration 2:
Pivot column: X (the most negative coefficient in the Z row)
Pivot row: S1 (smallest positive ratio of RHS to coefficient in the pivot column)
Performing row operations:
Divide row S1 by 1 to make the pivot element (coefficient of X) equal to 1.
Row S1 = Row S1 / 1
Row S1: 1 | 0 | 1 | -1/3 | 0 | 4
Eliminate other elements in the pivot column:
Row Z = Row Z - (20 * Row S1)
Row S2 = Row S2 - (0 * Row S1)
Row S3 = Row S3 - (2 * Row S1)
Row Z: 0 | 0 | -20 | -2/3 | 0 | -74
Row S2: 1 | 1 | 0 | 1/3 | 0 | 6
Row S3: 0 | 1 | -2 | -2/3 | 1 | 6
Since there are no negative coefficients in the Z row, we have reached the optimal solution.
Final Solution:
Z = -74 (maximum value of the objective function)
X = 4
Y = 2
S1 = 0
S2 = 6
S3 = 6
Therefore, the maximum value of Z is -74, and the optimal values for X and Y are 4 and 2, respectively. The slack variables S1, S2, and S3 are all zero, indicating that all the constraints are satisfied as equalities.
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city cabs charges a $ pickup fee and $ per mile traveled. diego's fare for a cross-town cab ride is $. how far did he travel in the cab?
Diego travelled x miles in the cab. To find out how far Diego travelled in the cab, we need to use the information given. We know that City Cabs charges a pickup fee of $ and $ per mile travelled.
Let's assume that Diego traveled x miles in the cab. The fare for the ride would be the pickup fee plus the cost per mile multiplied by the number of miles traveled. This can be represented as follows:
Fare = Pickup fee + (Cost per mile * Miles traveled)
Since we know that Diego's fare for the ride is $, we can set up the equation as:
$ = $ + ($ * x)
To solve for x, we can simplify the equation:
$ = $ + $x
$ - $ = $x
Divide both sides of the equation by $ to isolate x:
x = ($ - $) / $
Now, we can substitute the values given in the question to find the distance travelled:
x = ($ - $) / $
x = ($ - $) / $
x = ($ - $) / $
x = ($ - $) / $
Therefore, Diego travelled x miles in the cab.
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how much is 453 million?
Hello!
453 millions
= 453 000 000