The solution is Option A.
The system of equations is solved and the value of y = -5/9
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the first equation be represented as A
Now , the value of A is
x + 6y = 10 be equation (1)
Let the second equation be represented as B
Now , the value of B is
-x + 3y = -15 be equation (2)
On simplifying the equations , we get
Adding equation (1) and equation (2) , we get
6y + 3y = 10 - 15
9y = -5
Divide by 9 on both sides of the equation , we get
y = - ( 5/9 )
Substitute the value of y in equation (1) , we get
x - 30/9 = 10
Adding 30/9 on both sides of the equation , we get
x = 10 + 30/9
x = 120/9
Hence , the value of x and y are 120/9 and -5/9 respectively
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I need help on a problem
First, we need to find the coordinates of the points
U(-4, 4) V( -4, -5) W(5, -5) X(5, 4)
Next, we will find the distance, UV and VW
Using the distance formula
\(|d|=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}\)U(-4, 4) V( -4, -5)
x₁= -4 y₁=4
x₂=-4 y₂=-5
substitute the values into the formula
\(|UV|=\sqrt[]{(-4+4)^2+(-5-4)^2}\)\(=9\)V( -4, -5) W(5, -5)
x₁= -4 y₁=-5
x₂=5 y₂=-5
substitute the values into the formula
\(|VW|=\sqrt[]{(5+4)^2+(-5+5)^2}\)\(=9\)Area = l x w = 9 x 9 = 81 units²
Perimeter = 9 + 9 + 9 + 9 = 36 units
Justin is part of a group of students who are working with a bakery to collect marketing research. The bakery wants to determine whether a new type of pastry would be successful. Justin's group decides to conduct a taste test and then have respondents fill out a survey about their thoughts. Questions would include whether they liked or disliked the pastry, what they liked or disliked about it, and whether they would purchase it at certain price points. Refer to Scenario 4.1. Justin and his team were hoping to conduct their tests in a grocery store. However, they could not receive permission to do so. In the end, they set up a booth in the student union building and asked passers-by to participate. To be more representative, they tried to divide by age and race to ensure they got enough from both genders and from different ethnicities. For instance, they know that roughly 5 percent of the student population at the school is Hispanic. Since its goal is to get 200 responses, they set a goal to ask 10 Hispanic individuals to take the taste test. This is most likely an example of _______________.
The example given is most likely an example of quota sampling.
Quota sampling is a sampling method that involves the selection of participants based on specific pre-determined characteristics to ensure that the sample adequately represents the population. The goal is to get 200 responses, so they set a target to have ten Hispanic individuals take the taste test, as they are around 5% of the student population.
They also attempted to ensure that they had enough respondents of different genders and ethnicities by dividing them by age and race. Quota sampling is used when random sampling is difficult to implement, either because of financial or practical constraints, or when trying to obtain certain subgroups of people for study.
So,the example given is most likely an example of quota sampling.
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Find the area of the prism pls help!!
Answer:
The pdf wont work
Step-by-step explanation:
cant help
Consider the following generic C comparison function and its assembly language representation C code: byte compbyte a,byte b)/a in rdi,b in rsi Assembly code cmpb %rsi,%rdi set_inst %a1 ret Your jobs(fill-in blank):now sh given values of a and b g SET instruction and the A.5 points set CI SF OF %al setg 47 23 B.5 points set h SF OF %a setl 23 47 C.5 points ZA SF OF %al set sete 23 23 D.5 points CF ZF SF OF 00%1 set b setne 23 47
The correct answer is D. setne 23 47. Based on the provided information, I understand that you have a comparison function in C code and its corresponding assembly code. You are asked to fill in the blanks by selecting the appropriate instructions based on the given values of a and b and the status flags SF, OF, ZF, and CF. Let's go through the options:
A. setg 47 23: This option is incorrect because setg is used to set a byte to 1 if the Greater flag (ZF=0 and SF=OF) is set, but the given values of a and b are 47 and 23, respectively, so it does not satisfy the condition for setg to be set.
B. setl 23 47: This option is incorrect because setl is used to set a byte to 1 if the Less flag (SF≠OF) is set, but the given values of a and b are 23 and 47, respectively, so it does not satisfy the condition for setl to be set.
C. sete 23 23: This option is incorrect because sete is used to set a byte to 1 if the Zero flag (ZF=1) is set, but the given values of a and b are 23 and 23, respectively, so it does not satisfy the condition for sete to be set.
D. setne 23 47: This option is correct. setne is used to set a byte to 1 if the Zero flag (ZF=0) is not set, which means the values of a and b are not equal. In this case, the given values of a and b are 23 and 47, respectively, so they are not equal, and setne should be used.
Therefore, the correct answer is D. setne 23 47
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Which of the following is a point-slope equation of a line that passes through
the points (10, 5) and (4,-7)?
O A. y-5=-2x-10)
OB. y-5=2(x-10)
OC. y-10=2(x-5)
OD. y-10--2(x-5)
The answer choice which is a point-slope equation of the line described is; Choice C; y-10 = 2(x-5).
Which of the following is a point-slope equation of a line that passes through the points (10, 5) and (4,-7)?The slope of the line joining the two points is;
slope = (-7-5)/(4-10)
= -12/-6
= 2.
Hence, the point-slope form of the equation is;
y-10 = 2(x-5).
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factoring reveals the blank or blank of the polynomial (algebra two)
Answer:
what
Step-by-step explanation:
??
A certain wire stretches 0.90 cm when outward forces with magnitude F are applied to each end. The same forces are applied to a wire of the same material but with three times the diameter and three times the length. The second wire stretches:
The length of the second wire stretches when the same forces are applied to it is given by option A. 0.30 cm .
Length of the wire = 0.90cm
let us consider the concept of Young's modulus also known as the modulus of elasticity.
Young's modulus is a measure of the stiffness or rigidity of a material.
It quantifies how much a material deforms under a given force.
The equation for Young's modulus is as follows,
E = (F/A) / (ΔL/L)
Where,
E is Young's modulus
F is the applied force
A is the cross-sectional area of the wire
ΔL is the change in length of the wire
L is the original length of the wire
The first wire stretches by 0.90 cm
and the forces applied to both wires are the same,
Use this information to determine the Young's modulus of the material.
Let us assign some variables,
ΔL₁= 0.90 cm change in length for the first wire
L₁ = original length of the first wire
A₁ = cross-sectional area of the first wire
Since the forces applied to both wires are the same,
Assume that the stress force per unit area is the same for both wires. This implies,
(F/A₁) / (ΔL₁/L₁) = (F/A₂) / (ΔL₂/L₂)
The second wire has three times the diameter and three times the length of the first wire.
This means the cross-sectional area A₂ of the second wire will be nine times the cross-sectional area A₁ of the first wire.
Mathematically,
A₂ = 9A₁
Similarly, the length L₂ of the second wire is three times the length L₁ of the first wire,
L₂ = 3L₁
Substituting these values into our equation, we have,
(F/A₁) / (ΔL₁/L₁) = (F/(9A₁)) / (ΔL₂/(3L₁))
Simplifying further, we get,
⇒ 1 / (ΔL₁/L₁) = 1/9 / (ΔL₂/(3L₁))
⇒ L₁ /ΔL₁= 1/9 × 3L₁/ΔL₂
⇒ 1/ ΔL₁ = ( 3/9) ( 1 / ΔL₂)
Since ΔL₁ =0.90 cm
Substitute these values and solve for ΔL₂,
⇒1/ 0.90 cm ₁ = ( 3/9) ( 1 / ΔL₂)
⇒ΔL₂ = (0.90 cm ) × (3/9)
⇒ΔL₂= 0.90 cm × (1/ 3)
⇒ΔL₂ = 0.30 cm
Therefore, the second wire stretches by option A. 0.30 cm when the same forces are applied to it.
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The above question is incomplete, the complete question is:
A certain wire stretches 0.90 cm when outward forces with magnitude F are applied to each end. The same forces are applied to a wire of the same material but with three times the diameter and three times the length. The second wire stretches:
A. .3 cm
B. .1 cm
C. 2.7 cm
D. .9 cm
17. A retired engineer has $250,000 to invest and is willing to spend five hours per week managing her investments. Municipal bonds earn 6% per year and require no management. Real estate investments are expected to appreciate at 8% per year and require one hour of management per $100,000 invested. Blue chip stocks earn 10% per year and require 1.5 hours of management. Junk bonds earn 12% and require 2.5 hours, while grain futures earn 15% and require five hours per $100,000 invested. (a) How should the retiree invest her money in order to maximize her expected earnings? Use the five-step method and solve as a linear programming problem. ⎩
⎨
⎧
x M
M
x R
x β
x S
x G
0.06x M
+0.08x R
+.1x β
.12x J
+.15x G
5ub jec
+t 0
x M
+x R
+x B
+x J
+x G
⩽250,000
x M
100,000
11x R
+ 100,000
1.5x B
+ 100,000
2.5x S
+ 100,00
5x G
x i
≥0,i=M,R,β,J,6
Con Set up in Excel. On Maple we got 27,500,X B
=125000,X G
=0
To solve the investment problem and determine how the retiree should invest her money to maximize expected earnings, we can set up a linear programming problem using the given data.
Let's define the decision variables as follows:
xM: Amount invested in municipal bonds (in dollars)
xR: Amount invested in real estate (in dollars)
xβ: Amount invested in blue chip stocks (in dollars)
xJ: Amount invested in junk bonds (in dollars)
xG: Amount invested in grain futures (in dollars)
The objective is to maximize expected earnings, which can be represented as:
0.06xM + 0.08xR + 0.1xβ + 0.12xJ + 0.15xG
Subject to the following constraints:
xM + xR + xβ + xJ + xG ≤ 250,000 (total investment cannot exceed $250,000)
xR / 100,000 + 1.5xβ / 100,000 + 2.5xJ / 100,000 + 5xG / 100,000 ≤ 5 (total management hours per week cannot exceed 5)
xM, xR, xβ, xJ, xG ≥ 0 (investment amounts cannot be negative)
Using Excel or any other linear programming software, we can input these constraints and the objective function to obtain the optimal solution. However, based on the provided information from Maple, the solution is as follows:
xM = $27,500
xR = $125,000
xβ = 0
xJ = 0
xG = 0
This means that the retiree should invest $27,500 in municipal bonds and $125,000 in real estate to maximize her expected earnings. No investment should be made in blue chip stocks, junk bonds, or grain futures according to this solution.
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Dillon and Samantha work at two different grocery stores. Dillon made $41.50 for working 5 hours and Samantha made $50.40 for 6 hours. Who makes more money per hour?
Step-by-step explanation:
To calculate the hourly wage for each worker, we need to divide their total earnings by the number of hours they worked:
Dillon's hourly wage = $41.50 ÷ 5 hours = $8.30 per hour
Samantha's hourly wage = $50.40 ÷ 6 hours = $8.40 per hour
Therefore, Samantha makes more money per hour than Dillon.
Answer: Samantha makes more money per hour than Dillon.
Step-by-step explanation:
Dillon:
x=$$/hour Dillon makes
5x=$41.50
x=$8.30/hour
Samantha:
y=$$/hour Samantha makes
6y=$50.40
y=$8.40/hour
Which function corresponds with the table?
A)
f(x) = x + 2
B)
f(x) = 2x - 2
09
f(x) = -2x + 2
D)
f(x) = -2x - 1
What is the range of f/x )= sin x the set of all real numbers?
On solving the provided question we can say that - The Range of the given function, f(x) = sin(x) , Range = \(-1 < y < 1\)
What is Range?Range: the discrepancy between the top and bottom numbers. To get the range, locate the greatest observed value of the variable and deduct the least observed value (the minimum). The data points between the two extremes of the distribution are not taken into consideration by the range; just these two values are considered. Between the lowest and greatest numbers, there is a range. Values at the extremes make up the range. The data set 4, 6, 10, 15, 18, for instance, has a range of 18-4 = 14, a maximum of 18, a minimum of 4, and a minimum of 4.
The Range of the given function, f(x) = sin(x)
\(-1 < y < 1\)
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What the answer to -4.5
Answer: 4.5
Step-by-step explanation: I’m assuming you are taking about the absolute value, and the absolute value of -4.5 is 4.5
Answer:
this doesn't even make any sense ;-;
Step-by-step explanation:
what do u mean what is the answer to -4.5
wheres the full question?
im confused what u mean
but the absolute value is 4.5 if thats what u mean
Genna wants to have a magician for her birthday party. She has $154 to spend. To have a magician come, there is an initial fee of $46, plus $27 per hour. How many hours can Genna have the magician stay?
Given statement solution is :- Genna can have the magician stay for 4 hours within her budget.
To determine the number of hours Genna can have the magician stay, we need to calculate how many hours can be covered within her budget.
Let's assume Genna can have the magician stay for "x" hours. The initial fee is $46, and the magician charges an additional $27 per hour. Therefore, the total cost for "x" hours can be calculated as:
Total cost = Initial fee + (Hourly rate * Number of hours)
Total cost = $46 + ($27 * x)
Genna's budget is $154. So we can set up the equation:
$154 = $46 + ($27 * x)
To solve for "x," we need to isolate the "x" variable. Let's rearrange the equation:
$27 * x = $154 - $46
$27 * x = $108
Dividing both sides by $27:
x = $108 / $27
x = 4
Therefore, Genna can have the magician stay for 4 hours within her budget.
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pls help me ill get brainiest
Answer:
the answers are 0 and 9
Step-by-step explanation:
television viewers often express doubts about the validity of certain commercials. in an attempt to answer their critics, a large advertiser wants to estimate the true proportion of consumers who believe what is shown in commercials. preliminary studies indicate that about 40% of those surveyed believe what is shown in commercials. what is the minimum number of consumers that should be sampled by the advertiser to be 95% confident that their estimate will fall within 2% of the true population proportion? a) 2305 b) 2327 c) 2285 d) 2317 e) 2292 f) none of the above
2327 is the minimal number of consumers that should be sampled by the advertiser to be 95% confident that their estimate will fall within 2% of the genuine population proportion.
Given that,
TV viewers frequently doubt the validity of particular advertising. In an attempt to counter their critics, a large advertiser wants to determine the true proportion of consumers who believe what is depicted in ads. About 40% of individuals examined, according to preliminary studies, seem to believe what is depicted in advertisements.
We have to find what is the minimal number of consumers that should be sampled by the advertiser to be 95% confident that their estimate will fall within 2% of the genuine population proportion.
We know that,
Let
Population proportion (p)= 0.40
Margin of error = 2% = 0.02
Confidence level = 95% = 0.95
α = 1- 0.95 = 0.05
α/2 = 0.025
Let's find out the Z critical value using excel for the 95% confidence level,
Use the following excel command.
= ABS(NORMSINV(α/2))
= ABS(NORMSINV(0.025))
We will get, Z critical value = 2.17009
Sample size (n) = p(1-p)×(Zα/2)/E
n = 0.40(1-0.40)({2.17009}÷{0.05})²
Sample size (n) = 2327
Therefore, 2327 is the minimal number of consumers that should be sampled by the advertiser to be 95% confident that their estimate will fall within 2% of the genuine population proportion.
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the 2 triangles are similar. if the perimeter of triangle abc is 28, find the value of x
Represent the
proportional relationship $2 for 5 ears of
corn and $4 for 10 ears of corn using
another representation.
The proportional relationship between the price and quantity of ears of corn can be represented using a table or a graph, showing how the price and quantity vary in a consistent manner.
One way to represent the proportional relationship between the price and quantity of ears of corn is by using a table:
Price (in dollars) Quantity (in ears of corn)
2 5
4 10
This table shows the corresponding values of the price and quantity.
As we can observe, when the price is $2, the quantity is 5 ears of corn, and when the price is $4, the quantity is 10 ears of corn.
The relationship is proportional because as the price doubles, the quantity also doubles.
Another representation of this proportional relationship is through a graph.
We can plot the points (2, 5) and (4, 10) on a coordinate plane, where the x-axis represents the price and the y-axis represents the quantity.
By connecting these two points with a straight line, we can visualize the proportional relationship.
The line will pass through the origin (0, 0) since zero price corresponds to zero quantity.
The slope of the line will indicate the rate of change between price and quantity.
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A spinner has six spaces that are all the same size. Three spaces are yellow, two are red, and one is blue. If the spinner is spun 150 times, it should land on yellow about ___ times, on red about ___ times, and on blue ___ times.
The spinner should land on yellow about 75 times, on red about 50 times, and on blue about 25 times.
How to solve the probabilityYellow: 3 spaces out of 6, so the probability is 3/6 = 1/2
Red: 2 spaces out of 6, so the probability is 2/6 = 1/3
Blue: 1 space out of 6, so the probability is 1/6
multiplying the probability of each color by 150:
Yellow: 1/2 * 150 = 75 times
Red: 1/3 * 150 = 50 times
Blue: 1/6 * 150 = 25 times
Terefore The spinner should land on yellow about 75 times, on red about 50 times, and on blue about 25 times.
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Can someone pls help me wit this question tysm if you doo !!!
Si el ∡P y el ∡Q son ángulos alternos internos, y la medida de un ángulo suplementario a uno de ellos mide 135° ,¿cuánto miden el ∡P y el ∡Q respectivamente?
Answer:
so sorry
Step-by-step explanation:
wish I could help but I don't know how to do it
Choices are...
A)1120
B)2275
C)3500
D)2345
It's Side Splitter Theorem
Answer:
B
Step-by-step explanation:
The sections of the parallel roads split by the transversals are in proportion, that is
\(\frac{350}{300}\) = \(\frac{first}{1650}\) ( cross- multiply )
300 first = 577500 ( divide both sides by 300 )
first = 1925 ft
Thus
Elm st → Maple st = 1925 + 350 = 2275 ft → B
Jayson's membership card gives him $2.50 off his daily lunch salad. He paid $32.25 for 5 days. How much was the price of the salads before the discount?
Answer:
44.75
Step-by-step explanation:
2.50×5=12.50.
12.50+32.25=44.75.
hope you have a nice day/night
2 2/3 x 3 1/2 x 6
I DONT KNOW THE ANSWER
40 points to who gets the answer
Answer:
56 is the answer which isn't any of the options so the question itself is incorrect.
Step-by-step explanation:
Volume of a BOX = Length times Width times Height
Volume of a BOX = 2 2/3 x 3 1/2 x 6
Volume of a BOX = 8/3 x 7/2 x 6
Volume of a BOX = 8/3 x 21
Volume of a BOX = 8 x 7 = 56
ANSWER: 56
Find the area of triangle ABC.
Give your answer correct to 1 decimal
Answer:
let
a=9cm
b=8cm
c=10cm
Step-by-step explanation:
now
s=(a+b+c)/2=(9+8+10)/2=13.5
area of traingle=√(s(s-a)(s-b)(s-c))=√(13.5(13.5-9)(13.5-8)(13.5-10))=34.197cm²
chloe lives in an area where she runs the air conditioner during the 4 hottest months of the year. the air conditioner runs for 7 hours per day at a cost of 21 cents per hour. how much does she spend per year on utility bills for the air conditioner?(assume there are 30 days in each month)
Chloe runs her air conditioner for a total of 4 months, or 120 days. Chloe spends $176.40 per year on utility bills for the air conditioner during the four hottest months.
The reason for this expense is the need for cooling during these months, and the cost associated with running the air conditioner for 7 hours per day at a rate of $0.21 per hour.
To calculate the annual cost of running Chloe's air conditioner, we need to consider the number of hours per day, the cost per hour, and the number of days the air conditioner is used.
1. First, let's determine the total number of hours the air conditioner runs during the four hottest months:
7 hours/day * 30 days/month * 4 months = 840 hours
2. Now, we can calculate the total cost by multiplying the number of hours by the cost per hour:
840 hours * $0.21/hour = $176.40
At 7 hours per day, that's a total of 840 hours of use. At a cost of 21 cents per hour, Chloe spends 0.21 x 840 = $176.40 per year on utility bills for her air conditioner.
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A bag contains 50 marbles. There are 31 blue, 6 green, 2 red, 7 yellow, and 4 black marbles. Without looking, Gail reaches into the bag and draws one marble. What is the probability she draws a blue marble?
So, the probability that Gail draws a blue marble is 0.62 or 62%.
To find the probability of drawing a blue marble, we need to determine the ratio of the number of blue marbles to the total number of marbles in the bag.
In this case, there are 31 blue marbles out of a total of 50 marbles. Therefore, the probability of drawing a blue marble is:
P(Blue) = Number of blue marbles / Total number of marbles
= 31 / 50
Simplifying the fraction, we get:
P(Blue) = 0.62
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What is the value of x?
Answer:
x=50
Step-by-step explanation:
2x+20=3x-30
2x-3x=-x
20+30=50
-x+50=0
-x=-50
x=50
we can find the tax rate on the $78 item that cost $82.68 after tax by using the equation
Answer:
There is no question, can you type it?
Step-by-step explanation:
plssss can someone help me asap!!!!
What is the area of this trapezoid?
44 in²
64 in²
168 in²
192 in²
Answer:
44 in² = 1,936
64 in² = 4,096
168 in² = 28,224
192 in²= 36,864
Step-by-step explanation:
Raise the number to the power of 2.
Ex : 192² raise by the the power of 2 is 36,864
Hope this helps you :)