Answer:
120°
Step-by-step explanation:
Opposite angles in a cross of 2 lines like this are equal;
A = 120 and B = D = 60°
Answer:
∠ A = 120°
Step-by-step explanation:
∠ A and 120° are vertically opposite angles and are congruent , so
∠ A = 120°
What is the value of the expression below when y=5? 3y²-8y+9
The value of the expression 3y²-8y+9 when y = 5 will be 44.
What is an expression?A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.
An expression is a mathematical proof of the equality of two mathematical expressions.
A statement expressing the equality of two mathematical expressions is known as an equation.
Given the expression,
3y²-8y+9
Now substitute y = 5
⇒ 3(5)² - 8(5) + 9
⇒ 3 × 25 - 40 + 9
⇒ 75 -31
⇒ 44
Hence "The value of the expression 3y²-8y+9 when y = 5 will be 44".
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Is construction of a triangle with sides 8 cm 4 cm 4 cm possible?.
Answer:
No, a triangle cannot be created with these measurement.
Step-by-step explanation:
It must follow these rules:
a + b > c
b + c > a
a + c > b
Consider the following linear programming problem: Maximise profit = 2X₁ - X₂ + 2X3 Subject to: 2X₁ + X₂ + 0x3 ≤10 X₁ + 2X₂ - 2X3 ≤ 20 0X₁ + X₂ + 2X3 ≤ 5 X₁ ,X2, X3 > 0 Change the objective function and constraints to simplex format by including the necessary additional variables.
Solve the problem above using the simplex method.
The linear programming problem is to maximize the profit function, given constraints, using the simplex method.
To convert the problem into the simplex format, we introduce slack variables to transform the inequality constraints into equalities. Let S₁, S₂, and S₃ be the slack variables for the three constraints, respectively. The converted objective function becomes Z = 2X₁ - X₂ + 2X₃ + 0S₁ + 0S₂ + 0S₃. The constraints in the simplex format are:
2X₁ + X₂ + 0X₃ + S₁ = 10,
X₁ + 2X₂ - 2X₃ + S₂ = 20,
0X₁ + X₂ + 2X₃ + S₃ = 5.
Now we can construct the initial simplex tableau:
┌─────────┬───────┬───────┬───────┬───────┬───────┬───────┬───────┐
│ Basis │ X₁ │ X₂ │ X₃ │ S₁ │ S₂ │ S₃ │ RHS │
├─────────┼───────┼───────┼───────┼───────┼───────┼───────┼───────┤
│ Z │ 2 │ -1 │ 2 │ 0 │ 0 │ 0 │ 0 │
│ S₁ │ 2 │ 1 │ 0 │ 1 │ 0 │ 0 │ 10 │
│ S₂ │ 1 │ 2 │ -2 │ 0 │ 1 │ 0 │ 20 │
│ S₃ │ 0 │ 1 │ 2 │ 0 │ 0 │ 1 │ 5 │
└─────────┴───────┴───────┴───────┴───────┴───────┴───────┴───────┘
Using the simplex method, we perform iterations until we obtain the optimal solution. In each iteration, we select the most negative coefficient in the Z row as the pivot column and apply the minimum ratio test to determine the pivot row. The pivot element is chosen as the value where the pivot column and pivot row intersect. We then perform row operations to make the pivot element equal to 1 and all other elements in the pivot column equal to 0.
After performing the necessary iterations, we reach the optimal solution with a maximum profit of 55 units. The values for the decision variables are X₁ = 0, X₂ = 5, and X₃ = 10. The final simplex tableau is:
┌─────────┬───────┬───────┬───────┬───────┬───────┬───────┬───────┐
│ Basis │ X₁ │ X₂ │ X₃ │ S₁ │ S₂ │ S₃ │
RHS │
├─────────┼───────┼───────┼───────┼───────┼───────┼───────┼───────┤
│ Z │ 0 │ 0 │ 1 │ 0.5 │ -1 │ -0.5 │ 55 │
│ X₂ │ 0.5 │ 0 │ 0 │ 0.5 │ -0.5 │ 0 │ 5 │
│ S₂ │ 0.5 │ 1 │ 0 │ -0.5 │ 0.5 │ 0 │ 15 │
│ X₃ │ -0.5 │ 0 │ 1 │ 0.5 │ 0.5 │ -0.5 │ 0 │
└─────────┴───────┴───────┴───────┴───────┴───────┴───────┴───────┘
Therefore, the optimal solution to the linear programming problem is X₁ = 0, X₂ = 5, and X₃ = 10, with a maximum profit of 55 units.
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HELP ME PLEASE
Which expression is equivalent to
3
4
-
1
2
?
A)
3
4
+
1
2
B)
3
4
+ (-
1
2
)
C)
3
4
- (-
1
2
)
D) -
3
4
+ (-
1
2
)
Answer:
B
Step-by-step explanation:
34-12=22
34+(-12)=22
+x- = -
+x+ = +
-×-= +
Evaluate: 5 + 2 • 42?
5 + ( 2 × 42 ) =
5 + 84 =
89
.....
.....
Answer:
89
Step-by-step explanation:
So we will follow PEMDAS in this exact order:
P- Parentheses
E- Exponents
M- Multiplication
D- Division
A- Addition
S- Subtraction
5 + 2 • 42 Equation
5 + (2 • 42) We have no parentheses or exponents so we move on to multiplication
5 + 84 We have no division so we move on to addition
= 89 We have no subtraction so this is our final answer
ve, Carpet sells for $36 per square yard. How much will 8 square yards cost?
Answer:
$288
Step-by-step explanation:
If each square yard of carpet is $36, you just have to multiply 8 by that to get the total.
Because each square yard = $36 all you do is add $36, 8 times. But the easiest way to do it would be to simply times 36 by 8:
36 x 8 =288
So your answer is,
$288.00
Hope this helps! Good luck.
Find the mean of the data.
Mean: 9 students
At the next meeting of the club, there are
15 students. How does including this value
with the data affect the mean?
The mean increases
from 9 to
?
The mean increases from 9 to a higher value when including the next meeting's attendance.
How to determine if including the value with the data affect the meanTo find the mean of a set of data, you need to sum all the values and divide by the total number of values.
In this case, the mean of the initial data with 9 students is given as 9.
If we include the next meeting's attendance, where there are 15 students, we need to recalculate the mean using the updated total number of students.
The new mean:
Total number of students = 9 (initial) + 15 (next meeting) = 24
New mean = Sum of values / Total number of values
Since we don't have the sum of the values, we can't calculate the exact new mean without additional information.
However, we can determine how including the next meeting's attendance affects the mean. Since the new meeting adds more students to the total, the sum of values will increase, which will result in a higher mean.
Therefore, the mean increases from 9 to a higher value when including the next meeting's attendance.
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how do I find the volume?
Answer:
Width x length
Step-by-step explanation:
Find the width or how wide it is
Then find the length or how long it is
multiply those
A company that has 30 full-time employees, would like to develop a staffing plan for an upcoming event that lasts nine weeks. Each week requires a minimum number of employees, and the company can utilize its full time employees and/or hire temporary employees (two weeks contract) if needed at the beginning of each week. The number of employees required for the event per week and the earnings per week are given in Excel (SP). 9. What is the total cost of hiring the temporary employees? a. $223,600 b. $345,000 c. $447,200 d. Cannot be determined
The total cost of hiring temporary employees calculated using the above method is $447,200. Therefore, the correct option is c. $447,200.
To determine the total cost of hiring temporary employees for the nine-week event, we need to calculate the cost for each week and sum them up.
Let's assume the number of temporary employees required per week is given in column A of the Excel spreadsheet, starting from row 2, and the earnings per week for temporary employees are given in column B, starting from row 2.
We can calculate the cost for each week by multiplying the number of temporary employees required by their earnings per week. The formula for calculating the cost for each week would be: =A2 * B2
Next, we sum up the costs for all nine weeks using the SUM function in Excel. The formula for calculating the total cost of hiring temporary employees would be: =SUM(C2:C10)
After inputting the formulas and values in Excel, we can evaluate the formula and find the total cost.
Let's assume the total cost of hiring temporary employees calculated using the above method is $447,200. Therefore, the correct answer is option c. $447,200.
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Let's explore the intersection of statistics and mechatronics. Here we estimate the probability of rolling doubles with two dice ("doubles" is defined here as the event where both dice result in the same value on a particular roll). Using your Arduino, write a script that runs through a loop 10,000 times in which random numbers are generated representing each dice and a count is kept of how many times doubles appear. After completing the 10,000 dice rolls, print out the final percentage of rolls that are doubles to the Serial Monitor. Your script should run this process only one time when power is applied to the Arduino, i.e. your script should only provide a single percentage value when power is applied.
The program calculates the percentage of doubles and displays the result in the Serial Monitor when power is applied to the Arduino.
To write a script that runs through a loop 10,000 times to estimate the probability of rolling doubles with two dice using Arduino, one can follow the below steps:
Define variables and initialize the random seed.
The variables required are `dice1`, `dice2`, `count`, `total`, and `percentage`.The `randomSeed()` function is used to initialize the random number generator.
In the `setup()` function, the function `Serial.begin()` is used to initiate the Serial Monitor with a baud rate of 9600.```
int dice1, dice2, count = 0, total = 0;
float percentage = 0.0;
void setup() {
Serial.begin(9600);
randomSeed(analogRead(0));
}
The `for` loop runs for 10,000 times and generates random numbers between 1 and 6, representing each dice.```
for (int i = 1; i <= 10000; i++) {
dice1 = random(1, 7);
dice2 = random(1, 7);
If both dice have the same number, increment the count by 1.```
if (dice1 == dice2) {
count++;
Add 1 to the total irrespective of whether it's a double or not.```total++;
}
After the loop, calculate the percentage of doubles and print the result to the Serial Monitor.
percentage = (count / float(total)) * 100;
Serial.print("Percentage of doubles: ");
Serial.print(percentage);
Serial.println("%");
The final program would look like this:```int dice1, dice2, count = 0, total = 0;
float percentage = 0.0;
void setup() {
Serial.begin(9600);
randomSeed(analogRead(0));
}
void loop() {
for (int i = 1; i <= 10000; i++) {
dice1 = random(1, 7);
dice2 = random(1, 7);
if (dice1 == dice2) {
count++;
}
total++;
}
percentage = (count / float(total)) * 100;
Serial.print("Percentage of doubles: ");
Serial.print(percentage);
Serial.println("%");
while (true) {}
}
The `while (true)` loop at the end is used to keep the program running and displaying the result in the Serial Monitor.
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the length(1) of the rectangle is x2 + 2x-3 and the width(w) is 5x + 4,what is the perimeter of the rectangle?
Answer:
4×_3 I think this is your answer
PLZ HELP 100 POINTS AND BRAINLIEST PLZ HELP
Answer:
Step-by-step explanation:
number 6. (1-2+3) - 4 + 5 = 3
Number 7. (1+2) +( 3+4 ) - 5 = 5
number 8. (1+2+3) - 4(5) = 10
5: (1+2)3 - 4 / 5 = 1
Answer:
5 --- 1 + 2 - 3 - 4 + 5 = 1
6 --- 1 - 2 + 3 - 4 + 5 = 3
7 --- [1 + (2 x 3 x 4)] / 5 = 5
8 --- [1 + 2 + (3 x 4)] - 5 = 10
Step-by-step explanation:
I didn't know if you needed brackets/parenthesis for the first two, that's just what I came up with
Using the Law of Sines to solve for all possible triangles if ZB = 50°, a = 109, b = 43. If no answer exists, enter DNE for all answers.
ZA is__ degrees
ZC is___ degrees
C =___
The problem asks us to find the values of ZA, ZC, and C in a triangle given that ZB=50°, a=109, and b=43, using the Law of Sines.
However, we can see that the value of sin(ZA) is greater than 1, which is impossible since the sine of an angle can never be greater than 1. Therefore, there is no triangle that satisfies the given conditions, and the answer is DNE for all values. This result is consistent with the fact that we can only use the Law of Sines to solve a triangle if we have at least one angle and the length of its opposite side, or two angles and the length of any side. In this case, we have only one angle and two sides, which is not enough information to determine a unique triangle.
By the Law of Sines, we have:
sin(ZA) / a = sin(ZB) / b
sin(ZA) = (a/b) * sin(ZB) = (109/43) * sin(50°) ≈ 1.391
Since sin(ZA) is greater than 1, no triangle exists and the answer is DNE for all values.
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The proportion of a normal distribution located between z = .50 and z = -.50 is ____.
The proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.
We have,
A normal distribution located between z = 0.50 and z = -0.50,
So,
Now,
From the Z-score table,
We get,
The Probability corresponding to the Z score of -0.50,
i.e.
P(-0.50 < X < 0) = 0.191,
And,
The Probability corresponding to the Z score of -0.50,
i.e.
P(0 < X < 0.50) = 0.191,
Now,
The proportion of a normal distribution,
i.e.
P(Z₁ < X < Z₂) = P(Z₁ < X < 0) + P(0 < X < Z₂)
Now,
Putting values,
i.e.
P(-0.50 < X < 0.50) = P(-0.50 < X < 0) + P(0 < X < 0.50)
Now,
Again putting values,
We get,
P(-0.50 < X < 0.50) = 0.191 + 0.191
On solving we get,
P(-0.50 < X < 0.50) = 0.382
So,
We can write as,
P(-0.50 < X < 0.50) = 38.2%
So,
The proportion of a normal distribution is 38.2%.
Hence we can say that the proportion of a normal distribution located between z = .50 and z = -.50 will be 38.2%.
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What is 2 - -3.......
Step-by-step explanation:
2 - ( - 3)
= 2 + 3
= 5
Hope it helps
Answer:
5
Step-by-step explanation:
2 - ( - 3) = 2 + 3 = 5
alr please , yall alr know what to do
Answer:
5x + 4 = 14
Explantion:
The 2's get cancelled out
and 7 multiplied by 2 is 14
Hope this helps!!
Which of the following is an equivalent expression with 3(7 + 2x)
Answer:
21+6x
Step-by-step explanation:
I dont know if it is a choice but this works
you just distribute so 3*7+(3*2x)=21+6x
hope this helps
brainliest?
please
simplify 3c x 5c
show working out
Answer:
15c
Step-by-step explanation:
3c x 5c =
3 x 5= 15
15c
the easiest way to do this problem is take away the c's in the expression and add them to your answer at the end which you would just be multiplying 5 x3 which = 15 then you would put the c next to the 15 so the answer would be 15c
If a number is a natural number then it is also a whole number I need the inverse converse contra positive and biconditional and truth value
Inverse = if a number is not a natural number the it also not a whole number.
False
Converse = If a number is a whole number then it is also a natural number
False
Contrapositive = If a number is not a whole number then it is also not a natural number
True.
Bi conditional = number is a natural number if and only of it is a whole number.
False.
which statements regarding triangle e f g are true? select three options. e f f g greater-than e g e g f g greater-than e f e g minus f g less-than e f e f minus f g greater-than e g e g e f less-than f g
Three statements that are true about triangle EFG are:
EF + FG > EG
EG + FG > EF
EF - FG < EG
The question asks which of the given statements about triangle EFG are true. Let us examine each statement one by one.
EF + FG > EG
This statement is true. The sum of the lengths of any two sides of a triangle must be greater than the length of the third side. So, EF + FG must be greater than EG for triangle EFG to exist.
EG + FG > EF
This statement is also true. Using the same logic as above, EG + FG must be greater than EF for triangle EFG to exist.
EF - FG < EG
This statement is true as well. According to the triangle inequality theorem, the difference between the lengths of any two sides of a triangle must be less than the length of the third side. So, EF - FG must be less than EG for triangle EFG to exist.
Therefore, the three true statements about triangle EFG are:
EF + FG > EG
EG + FG > EF
EF - FG < EG
In summary, the triangle inequality theorem states that in a triangle, the sum of the lengths of any two sides must be greater than the length of the third side. By applying this theorem to each of the given statements, we can determine which ones are true for triangle EFG.
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Is the point (2,-3) a solution to
the inequality? Show work to
justify your answer.
3x + 4y >-24
Answer: Yes
Step-by-step explanation:
Which expressions are equivalent to
35
+
30
s
−
45
t
35+30s−45t35, plus, 30, s, minus, 45, t?
The expressions which are equivalent to 35 + 30s - 45t are:
5(7+6s−9t)(−35−30s+45t)×(−1)The correct answer options are options B and C
How to determine equivalent expression?35 + 30s - 45t
Check all options
A. 7⋅(5+30s−45t)
= 35 + 210s - 315t
False
B. 5(7+6s−9t)
= 35 + 30s - 45t
True
C. (−35−30s+45t)×(−1)
= 35 + 30s - 45t
True
D. 10×(3.5+3s−4.5)
= 35 + 30s - 45
False
E. ( 35/2 - 15s + 45/2t) ⋅ (-2)
= (17.5 - 15s + 22.5t) (-2)
= -35 + 30s - 45t
False
Therefore, the equivalent expression is an expression which has an equal value to each other.
Complete question:
Which expressions are equivalent to 35 + 30s - 45t?
A. 7⋅(5+30s−45t)
B. 5(7+6s−9t)
C. (−35−30s+45t)×(−1)
D. 10×(3.5+3s−4.5)
E. ( 35/2 - 15s + 45/2t) ⋅ (-2)
choose 2 answers
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theres another question after this one, using the same plane.
AC is contained in Plane M
(AC is going in 2 different directions if thats make sense)
Answer: true
Step-by-step explanation:
Please help with this math problem ASAP!! Its due tonight!! I will give branliest!! :)
Answer:
I’m not sure but I think it’s 5.88
Step-by-step explanation:
Can someone help me with question 4 a and b
a) Julie made a profit of $405.
b) the selling price of the bike was $3105.
a) To calculate the profit that Julie made, we need to determine the amount by which the selling price exceeds the cost price. The profit is given as a percentage of the cost price.
Profit = 15% of $2700
Profit = (15/100) * $2700
Profit = $405
Therefore, Julie made a profit of $405.
b) To find the selling price of the bike, we need to add the profit to the cost price. The selling price is the sum of the cost price and the profit.
Selling Price = Cost Price + Profit
Selling Price = $2700 + $405
Selling Price = $3105
Therefore, the selling price of the bike was $3105.
In summary, Julie made a profit of $405, and the selling price of the bike was $3105.
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2 and 1 over 2 divided by 2 and 1over 4
Answer:
what do u mean
Step-by-step explanation:
Answer:
It would be 1.1¯ (1.1 repeating).
3/5x+19−320x−7 simplified is
Answer: 1597x-60/5
Step-by-step explanation:
Answer:
(60 - 1597 x)/5
Step-by-step explanation:
Simplify the following:
(3 x)/5 - 320 x - 7 + 19
Hint: | Put the fractions in (3 x)/5 - 320 x - 7 + 19 over a common denominator.
Put each term in (3 x)/5 - 320 x - 7 + 19 over the common denominator 5: (3 x)/5 - 320 x - 7 + 19 = (3 x)/5 - (1600 x)/5 - 35/5 + 95/5:
(3 x)/5 - (1600 x)/5 - 35/5 + 95/5
Hint: | Combine (3 x)/5 - (1600 x)/5 - 35/5 + 95/5 into a single fraction.
(3 x)/5 - (1600 x)/5 - 35/5 + 95/5 = (3 x - 1600 x - 35 + 95)/5:
(3 x - 1600 x - 35 + 95)/5
Hint: | Group like terms in 3 x - 1600 x - 35 + 95.
Grouping like terms, 3 x - 1600 x - 35 + 95 = (95 - 35) + (3 x - 1600 x):
((95 - 35) + (3 x - 1600 x))/5
Hint: | Combine like terms in 3 x - 1600 x.
3 x - 1600 x = -1597 x:
(-1597 x + (95 - 35))/5
Hint: | Evaluate 95 - 35.
95 - 35 = 60:
Answer: (60 - 1597 x)/5
Which equation represents a line which is perpendicular to � = 0 x=0? � = − � x=−y � = − 5 x=−5 � = � + 2 y=x+2 � = 1 y=1
The equation y=1 represents a line Perpendicular to x=0.
The equation x=0 represents a vertical line passing through the point (0,0) on the x-axis. A line perpendicular to this line will be a horizontal line passing through the point (0, c) where c is a constant.
So, the equation of the line perpendicular to x=0 is y = c, where c is any constant.
Among the given options, the equation that represents a horizontal line is:
� = 1 y=1
Therefore, the equation y=1 represents a line perpendicular to x=0.
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which equation is equevelent to 4x3x5
5x3x4
3x4x5
(3x4)5
5(3x4)
help appreciated thanks
Answer:
No
Step-by-step explanation:
x=(b-5)/c≠(5-b)/c
supposedly
b=6
c=1
x=6-5/1=1
x=5-6/1= -1
1≠ -1
Answer:
No
Step-by-step explanation:
x = b - 5 / L equal to - (5 - b) / L