4. Find the value of r so that the line that passes through the following points has
the given slope: (3,0) and (r, 2); m = -1/6 *
Answers
Answer:
r = -9
Step-by-step explanation:
use the slope formula:
(2-0) / (r-3) = -1 /6
cross-multiply:
-1(r - 3) = 2(6)
-r + 3 = 12
-r = 9
r = -9
Related Questions
Ginny works at the local sneaker shop. She earns $17.50 per hour working there. Her boss offers her a promotion she can either receive a 12.5% hourly raise or $2.50 raise on her rate per hour. Ginny is not sure which choice will make her more money on a weekly basis.
Ginny chooses to take the 12.5% raise. She works 40 hours per week.
How much does she earn after 40 hours ?
Answers
Answer:
$787.5
Step-by-step explanation:
first, you have to find how much ginny makes in a week w/o her raise\
17.5*40=700
then, you have to raise it by 12.5%, so her new salary is 112.5% of 17.5
112.5% = 1.125
700*1.125=787.5
please helpppppp!!!!!
Answers
9514 1404 393
Answer:
A + 2×BD - 2×CStep-by-step explanation:
The shaded area contains area A and two of area B. The expression for that area can be written ...
Area of trapezoid = A + 2×B
__
The overall rectangle has an area of D. The areas labeled C can be subtracted from that to leave the shaded area. The expression for that is ...
Area of trapezoid = D - 2×C
A message digest is defined as him) - (m*7;2 MOD 7793. If the message m = 23, calculate the hash
Answers
The hash of the given message is 135.
In computing, a message digest is a fixed-sized string of bytes that represents the original data's cryptographic hash. This hash is used to authenticate a message, guaranteeing the integrity of the data in the message.
Here, it is given the message m = 23
The formula to calculate hash is him) - (m*7;2 MOD 7793.
So, let's calculate the hash : him) - (m*7;2 MOD 7793(him) - (23*7;2 MOD 7793
⇒ (8*23) - (49 MOD 7793)
⇒ 184 - 49= 135.
So, the hash of the given message is 135.
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Solve for the right triangle.A=56° 41’, c= 253m, C=90°Draw the right triangle.Round side lengths to two decimal places if necessary.I believe they are looking for angle a, B and b since they have B, C and c.
Answers
Given the right triangle:
First, we know that ∡A and ∡B are complementary angles
\(\begin{gathered} \measuredangle B=90\degree-\measuredangle A \\ \Rightarrow\measuredangle B=90\degree-56\degree41^{\prime} \\ \Rightarrow\measuredangle B=33\degree19^{\prime} \end{gathered}\)Now, using the trigonometric functions:
\(\begin{gathered} \sin A=\frac{a}{c} \\ \sin B=\frac{b}{c} \end{gathered}\)Finally, using the values of A, B, and c to find a and b:
\(\begin{gathered} \sin 56\degree41^{\prime}=\frac{a}{253}\Rightarrow a=211.42\text{ m} \\ \sin 33\degree19^{\prime}=\frac{b}{253}\Rightarrow b=138.96\text{ m} \end{gathered}\)Summarizing:
\(\begin{gathered} \measuredangle A=33\degree19^{\prime} \\ a=211.42\text{ m} \\ b=138.96\text{ m} \end{gathered}\):
What is the solution of the following system
8x + 14y = 4
-6x - 7y = -10
a) (4,-4)
b (4,-2)
c (2,5)
d (6,-4)
Answers
Step-by-step explanation:
8x + 14y = 4 ...1
-6x - 7y = -10 ...2
...2 × 2 in 2 sides of the equation
-12x -14y = -20 ...3
...1 + ...3
8x + 14y +(-12x -14y) = 4 +(-20)
8x + 14y - 12x -14y = 4 - 20
-4x = -16
x = (-16)/(-4)
= 4
replace x in ...1 or ...2 you will reserve y value
and answer in the term of (x,y)
PLEASEEE HELP ITS WORTH 20 , the first 2 questions are yes or no !
Answers
by following the rule that the sum of two sides must exceed that of the last, a. is true and b. is false
The optimal amount of x1, x2, P1, P2 and income are given by the
following:
x1= 21/ 7p1 x2= 51 / 7p2
The original prices are: P1=10 P2=5 The original income is: I
=4189 The new price of P1 is the foll
Answers
The total change in the consumed quantity of x₁ as per given price and income is equal to 213.
x₁ = (21/7)P₁
x₂ = (51/7)P₂
P₁ = 10
P₂ = 5
P₁' = 81
To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',
The difference between the quantities consumed at the original price and the new price.
Let's calculate the quantity consumed at the original price,
x₁ orig
= (21/7)P₁
= (21/7) × 10
= 30
x₂ orig
= (51/7)P₂
= (51/7) × 5
= 36.4286 (approximated to 4 decimal places)
Now, let's calculate the quantity consumed at the new price,
x₁ new
= (21/7)P1'
= (21/7) × 81
= 243
x₂ new
= (51/7)P2
= (51/7) × 5
= 36.4286
The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,
Change in x₁
= x₁ new - x₁ original
= 243 - 30
= 213
Therefore, the total change in the quantity consumed of x₁ is 213.
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The above question is incomplete, the complete question is:
The optimal amount of x1, x2, P1, P2 and income are given by the following:
x1= 21/ 7p1 x2= 51 / 7p2
The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?
Please answer step by step
5. Find the geometric mean of 4 and 10.
Answers
Answer:
4+10=40
40:2=20
Step-by-step explanation:
Tina's family buys 4 cheeseburgers and 3 orders of fries for $7. 25. Louise's family buys 6 cheeseburgers and 3
orders of tries for $9. 75. What is the total cost of 1 cheeseburger and 1 order of fries?
Answers
Answer:
$2
Step-by-step explanation:
A burger is $1.25 and fries are .75c
4. the number of people arriving for treatment at an emergency room can be modeled by a poisson process with a mean of 5 people per hour. what is the probability that at least 4 people arrive during a particular hour? a. dpois(4,5) b. ppois(4,5) c. 1-ppois(4,5) d. 1-ppois(3,5) e. ppois(3,5)
Answers
The probability that at least 4 people arrive during a particular hour can be calculated by using the cumulative distribution function of the Poisson distribution. The answer is option C: 1-ppois(4,5).
Poisson Process is a mathematical model that has applications in the areas of telecommunications, electrical engineering, physics, biology, economics, etc. It is also used to model the number of occurrences of a certain event in a fixed period of time.
It can be used to model the number of cars passing through a certain intersection per day, the number of phone calls received by a call center in an hour, or the number of accidents that occur in a particular area over a given period. Poisson distribution is used to solve problems that involve Poisson processes.
Poisson Distribution is a statistical distribution that gives the probability of a certain number of events occurring in a fixed period of time. The Poisson distribution is used to model the number of events that occur in a fixed period of time, given the mean rate of occurrence.
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The equation of a function is y= 10- 9x. Find the value of x when y= - 8
Answers
Answer:
2 =x
Step-by-step explanation:
y= 10- 9x
Find x
Let y = -8
-8 = 10 -9x
Subtract 10
-8 - 10 = 10 -9x -10
-18 = -9x
Divide each side by -9
-18/-9 = -9x/-9
2 =x
Answer:
\( \red{x = 2}\)
Step-by-step explanation:
Given that,
y = 10 - 9x
Now we have to find the value of x when y is -8.
For that, you have to replace y with -8.
Let us solve it now.
\( \rightarrow \: y = 10 - 9x \\ \rightarrow \: - 8 = 10 - 9x\)
Make x the subject in the equation to find the value of x.
\( \rightarrow - 8 - 10 = - 9x \\ \rightarrow - 18 = - 9x \: \: \: \: \: \: \: \: \\ \rightarrow \frac{ - 18}{ - 9} = \frac{ - 9x}{ - 9} \: \: \: \: \: \\ \rightarrow 2 = x \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \)
Plan A tracks the monthly payment of $ 392. What is the total interest paid on this loan over the duration 60 months? Round your answer to the nearest penny DO NOT place a dollar sign in your answer
Answers
Answer:
23,000
Step-by-step explanation:
Multiply 60 with $392
60x392=23,520
Plan A makes you pay a total of $23,520 over the next 60 months (5 years).
Hope this helps! :)
Slope = -2/3, y-intercept = 1
Write the slope-intercept form of the equation of each line given the slope and y-intercept ?
Answers
Answer:
The answer is y=-2/3x+1
Step-by-step explanation:
Remember the slope intercept is y=mx+b
m = slope, b = y intercept
Plug those in
Answer: y = -2/3x + 1
Tres empleados de una empresa tienen que pagar 3100€ de impuestos entre todos de forma inversamente proporcional a su sueldo mensual. Si Javier cobra 1500€, Antonio, 2000€, y Elvira, 1800€, ¿cuánto tiene que pagar cada uno?
Answers
Answer:
La cantidad que Javier paga como impuesto, A es de 1.200 €
La cantidad que Antonio paga como impuesto, B es 900 €
El importe que paga Elvira como impuesto, C es de 1.000 €
Step-by-step explanation:
Dejemos que 'A', 'B' y 'C', representen la cantidad que pagan Javier, Antonio y Elvira respectivamente, y que 'k' represente la constante de proporcionalidad, por proporcionalidad inversa, tenemos;
A = k / 1500, B = k / 2000, C = k / 1800
A + B + C = 3100
∴ k / 1500 + k / 2000 + k / 1800 = 3100
Simplificando la ecuación anterior usando una calculadora gráfica da;
31 · k / 18 000 = 3100
k = 18.000 × 3.100 / 31 = 1.800.000
k = 1.800.000
La cantidad que Javier paga como impuesto, A = 1.800.000 / 1.500 = 1.200
La cantidad que Antonio paga como impuesto, B = 1.800.000 / 2.000 = 900
La cantidad que paga Elvira como impuesto, C = 1.800.000 / 1.800 = 1.000
PLEASE HELP!
Solve by completing the square
x^2+8x = -20
Answers
Answer: x= -4+/- 2i
Step-by-step explanation: Used the formula (b/2)^2 to create a new term. I solved for x.
FYI
+/- means plus or minus sign I couldn't find the symbol on my key board. Hope this helps!
What value of x is in the solution set of 2x - 3> 11 - 5x?
A. -3
B. 0
C. 2
D. 4
Answers
Answer:
The answer is D : 4.
Step-by-step explanation:
=2x-3>11-5x
=2x-3+5x>11
=7x-3>11
=7x>11+3
=7x>14
=7x/7>14/7
=x>2
By simplifying the problem, you can see that "x" must be greater than 2. Therefore, eliminating all other possible answers that are shown, but 4.
I answered the same questions with the same exact wording and explanation so please don't report any answers that are the same as this one, they are all mine and written by me.
How to plot 69, 88,94,73,78,90, and 68 in a box and whisker plot (ASAP) also find the 5 part summary
Answers
The five-number summary for the dataset are Minimum: 68, Q1: 69, Median: 78, Q3: 90 and Maximum: 94.
To create a box and whisker plot for the given dataset {69, 88, 94, 73, 78, 90, 68}, follow these steps:
Step 1: Arrange the data in ascending order:
68, 69, 73, 78, 88, 90, 94
Step 2: Find the five-number summary:
Minimum: The smallest value in the dataset, which is 68.
First quartile (Q1): The median of the lower half of the dataset. In this case, it's the median of {68, 69, 73}, which is 69.
Median (Q2): The middle value of the dataset. In this case, it's 78.
Third quartile (Q3): The median of the upper half of the dataset. In this case, it's the median of {88, 90, 94}, which is 90.
Maximum: The largest value in the dataset, which is 94.
Step 3: Create the box and whisker plot:
Draw a number line with a range from the minimum (68) to the maximum (94).
Mark the first quartile (Q1) at 69.
Mark the median (Q2) at 78.
Mark the third quartile (Q3) at 90.
Draw a box from Q1 to Q3.
Draw a vertical line (whisker) from the box to the minimum (68) and another vertical line from the box to the maximum (94).
The resulting box and whisker plot for the given dataset would look like this:
|
94| ▄
| ╱ ╲
90| ╱ ╲
| ╱ ╲
88| ▇ ▂
| ▇ ▂
78| ▇ ▂
| ▇ ▂
73| ╱ ╲
| ╱ ╲
69| ▃ ▃
| ╱ ╲
68| ╱ ╲
|_________________________________
68 73 78 88 94
This plot represents the distribution of the given dataset, showing the minimum, maximum, first quartile (Q1), median (Q2), and third quartile (Q3).
The five-number summary for the dataset are Minimum: 68, Q1: 69, Median: 78, Q3: 90 and Maximum: 94.
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Use the graph to answer the question.
Graph of polygon VWXYZ with vertices at negative 8 comma 2, negative 8 comma 0, negative 5 comma negative 7, negative 2 comma 0, negative 2 comma 2. A second polygon V prime W prime X prime Y prime Z prime with vertices at negative 8 comma negative 8, negative 8 comma negative 6, negative 5 comma 1, negative 2 comma negative 6, negative 2 comma negative 8.
Determine the line of reflection.
Reflection across y = −3
Reflection across the y-axis
Reflection across x = −5
Reflection across the x-axis
Answers
The line of reflection are across the y-axis.
Given data is,
Let the polygon be represented as VWXYZ
Now , the coordinates of the polygon is given as
The coordinate of V = ( -8 , 2 )
The coordinate of W = ( -8 , 0)
The coordinate of X = ( -5 , -7 )
The coordinate of Y = ( - 2 , 0 )
The coordinate of Z = ( - 2 , 2 )
Now , the translated polygon is having the coordinates as
The coordinate of V' = ( -8 , 8 )
The coordinate of W = ( -8 , 6)
The coordinate of X = ( -5 , 1 )
The coordinate of Y = ( - 2 , -6 )
The coordinate of Z = ( - 2 , -8 )
Clearly, x coordinate will be same but y coordinate will be change.
Hence, The line of reflection are across the y-axis.
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Answer: y = -3
Step-by-step explanation:
For an arithmetic sequence a,= 7+3(n-1), what is the 31st term?a.) 97b.) 100c.) 91d.) 94
Answers
For an arithmetic sequence a,= 7+3(n-1)
when n is 31
For an arithmetic sequence a,= 7+3(31-1)
An arithmetic sequence a,= 7+3(30)
An arithmetic sequence a,= 7+90
An arithmetic sequence a= 97
THE CORRESCT
On Thursday, 4 out of the first 10 students who ate a school lunch chose spaghetti. Based on this information, if 640 students ate a school lunch on Thursday, how many students could be expected to have chosen spaghetti?
Answers
Answer:
256
Step-by-step explanation:
If A is a 12 x 9 matrix, what is the largest possible dimension of the row space of A? If A is a 9x 12 matrix, what is the largest possible dimension of the row space of A? Explain. Select the correct choice below and fill in the answer box(es) to complete your choice. A. The dimension of the row space of Ais equal to the number of non-pivot columns in A. Since there are more rows than columns in a 12 x 9 matrix, the dimension of the row space of a 129 matrix must equal Since there are 9 rows in a 9x 12 matrix, there are a maximum of 9 pivot positions in A and 3 non-pivot columns. Therefore, the largest possible dimension of the row space of a 9 x 12 matrix is __B. The dimension of the row space of A is equal to the number of rows of A, which is equal to the number of pivot positions in A. Since there are 12 rows in a 12 x 9 matrix, the largest possible dimension of the row space of a 12 x 9 matrix is Since there are 9 rows in a 9x 12 matrix, the largest possible dimension of the row space of a 9 x 12 matrix is ___C. The dimension of the row space of A is equal to the number of pivot positions in A. Since there are only 9 columns in a 12 x 9 matrix, and there are only 9 rows in a 9 x 12 matrix, there can be at most pivot positions for either matrix. Therefore, the largest possible dimension of the row space of either matrix is ___
Answers
The dimension of the row space of A is equal to the number of rows of A, which is equal to the number of pivot positions in A. Since there are 12 rows in a 12 x 9 matrix, the largest possible dimension of the row space of a 12 x 9 matrix is 9. The correct option is (B).
This is because a matrix with more rows than columns, the largest possible dimension of the row space is equal to the number of rows, while for a matrix with more columns than rows, the largest possible dimension of the row space is equal to the number of pivot positions.
Since there are 9 rows in a 9 x 12 matrix, there are a maximum of 9 pivot positions in A and 3 non-pivot columns. Therefore, the largest possible dimension of the row space of a 9 x 12 matrix is 9 as well.
The dimension of the row space of matrix is the number of linearly independent rows in the matrix. The row space is spanned by the row vectors of the matrix. The row space is also the orthogonal complement of the null space, which is the space of all solutions to the equation Ax = 0, where A is the matrix and x is a column vector.
For a matrix with more rows than columns, like a 12 x 9 matrix, there will be at most 9 pivot positions, and the largest possible dimension of the row space is equal to the number of rows, which is 12. However, it is unlikely that all rows are linearly independent, so the actual dimension of the row space may be less than 12.
For a matrix with more columns than rows, like a 9 x 12 matrix, there will be at most 9 pivot positions, and the largest possible dimension of the row space is equal to the number of pivot positions, which is 9. The remaining 3 columns must be non-pivot columns, and their corresponding rows are linear combinations of the pivot rows.
Therefore, the row space can have at most 9 linearly independent rows. The correct answer is (B).
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Solve the following equation for f. Be sure to take into account whether a letter is capitalized or not.
N2=6f+H
Answers
Answer:
f = (N² - H)/6
Step-by-step explanation:
Step 1: Write equation
N² = 6f + H
Step 2: Solve for f
Subtract H on both sides: N² - H = 6fDivide both sides by 6: (N² - H)/6 = fRewrite: f = (N² - H)/6Which angles shown in the drawing are congruent?
∠EBA and ∠DBC
∠CBE and ∠ABE
∠ABD and ∠CBD
∠EBC and ∠DBA
Answers
Answer:
the second and third one
Step-by-step explanation:
PLES ANSWER QUICK IT URGENT
Answers
Answer:
Answer is 6.
Step-by-step explanation:
1--1/2 ÷ 1/4 = 6
Nicole was given a box of assorted chocolates for her birthday. Each night, Nicole
treated herself to some chocolates. There were originally 24 chocolates in the box and
Nicole ate 3 chocolates each night. Make a table of values and then write an equation
for C, in terms of t, representing the number of chocolates remaining in the box t
days after Nicole's birthday.
Number of Days After Nicole's
Birthday
Number of Chocolates Remaining in the
Box
0
1
2
3
Answers
Step-by-step explanation:
T | 0 | 1 | 2 | 3 |
C | 24 | 21 | 18 | 15 |
Rule:
To find a rule, we need to find 2 things- what T is multiplied by and what is added.
To find what it is multiplied, we need to see the increase or decrease in C for every T. In this equation, there is a decrease of 3, so we multiply T by -3.
To find what is added, we go to 0 T and find the corresponding number. When T is 0, C is 24 so we add 24.
We write a rule as: y = mx + c, or in this case, c = mt + a
So the rule is c = -3x + 24
Kalyan Singhal Corp. makes three products, and it has three machines available as resources as given in the following LP problem: Maximize contribution = 3X₁ +5X₂ +7X3 1X₁ +7X₂ + 4X3 ≤ 100 2X1 + 1X₂ + 7X3 ≤ 110 8X₁ + 4X₂ + 1X3 ≤ 100 X₁, X2, X3 20 (C₁: hours on machine 1) (C₂: hours on machine 2) (C3: hours on machine 3) a) Using a computer software for solving LP, the optimal solution achieved is: (round your response to two decimal places). X₁² = X₂ = (round your response to two decimal places). = X3² (round your response to two decimal places). Contribution (objective value) = (round your response to two decimal places). b) Machine 1 has Machine 2 has Machine 3 has hours of unused time available at the optimal solution (round your response to two decimal places). hours of unused time available at the optimal solution (round your response to two decimal places). hours of unused time available at the optimal solution (round your response to two decimal places). dollars to the firm (round your response to two decimal places). c) An additional hour of time available for third machine, is worth d) An additional 5 hours of time available for the second machine, at no cost to the firm, are going to increase the objective value by dollars (round your response to two decimal places).
Answers
a) Contribution (objective value) = $132.14
b) The firm earns $132.14 at the optimal solution.
c) An additional hour of time available for the third machine is worth $0.14 to the firm.
d) An additional 5 hours of time available for the second machine will increase the objective value by $3.69.
The best result obtained from using computer software to solve the LP problem is: X1 = 11.43, X2 = 12.86, X3 = 5.71
b) The number of unused hours at the ideal solution is:
Machine 1 still has 8.57 hours of time left.
There are no hours left on Machine 2 at the moment.
There are still 94.29 hours left on Machine 3.
c) The shadow price of the third limitation is worth an extra hour of time available for the third machine. With the exception of increasing the right-hand side of the third constraint by one unit, we can solve the LP problem using the same constraints to determine the shadow price. Using LP to solve this issue, we discover that the shadow price for the third constraint is
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Divide. Write the answer in simplest form.
2/5 divided by 3
Answers
Answer:
Step-by-step explanation:
0.13 repeating
What is the inverse of the function f(x) = 2x - 10?
Answers
Consider a rectangular membrane with fixed boundary of dimensions 3 (horizontal) by 2 (vertical). The deflection (2,y,t) satisfies the equation Utt =4 (uIf + uyy) _ Find a formula for the deflection u (T,9,t), if the initial velocity g (€,y) zero and the initial displacement f (1,y) f (T,y) =u(z,y, 0) ~2 sin (Tr) sin (Ty) + 7sin (3rx) sin (Sry) Yon need not show the separation of variables_ You may start with the general formula for (x,y,t) (6) Find the deflection at location (1.8,1.2) at time t = 2
Answers
The deflection u(1.8, 1.2, 2) at location (1.8, 1.2) and time t = 2 is obtained by evaluating the specific values of x, y, and t in the formula for u(x, y, t), which involves the initial displacement and zero initial velocity conditions.
How we find the deflection at location?To find the deflection at a specific point (1.8, 1.2) and time t = 2, we need to utilize the formula for u(x, y, t) derived from the given initial displacement and zero initial velocity conditions. By substituting the specific values of x = 1.8, y = 1.2, and t = 2 into the formula, we can calculate the deflection u(1.8, 1.2, 2).
The process involves solving the wave equation using the method of separation of variables and determining the coefficients based on the initial conditions. However, the detailed calculations for obtaining the deflection require more extensive analysis and cannot be fully explained within a single-line response.
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5. FORCE (N) = MASS (kg) X ACCELERATION (m/s2) , solve: How much force is needed to accelerate a 25kg bowling ball at 2 m/s squared?
(Help!!)
Answers
After answering the given query, we can state that Therefore, you need equation 50 Newtons of force to accelerate a 25kg bowling ball at 2 m/s^2.
What is equation?A mathematical equation is a process that links two statements and indicates equality with the equals sign (=). A mathematical assertion that proves the equality of two mathematical expressions is known as an equation in algebra. For instance, the equal sign separates the numbers 3x plus 5 and 14 in the equation 3x + 5 = 14. A mathematical formula can be used to understand the connection between the two sentences that are written on opposite sides of a letter. Frequently, the logo and the particular program are identical. as in 2x - 4 = 2, for example.
The formula is:
FORCE (N) = MASS (kg) X ACCELERATION (m/s2)
Plugging in the given values:
FORCE = 25 kg x 2 m/s^2
FORCE = 50 N
Therefore, you need 50 Newtons of force to accelerate a 25kg bowling ball at 2 m/s^2.
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