Answer:
$3.42
Step-by-step explanation:
Meters of material required = 1.2 meters
Cost per meter of material = $0.85
Direct labor hours = 0.1
Cost of direct labor per hour = $15
Overhead rate = $9 per direct labor hour
Standard cost per unit of product :
(Direct material cost per unit + direct labor cost per unit + overhead cost per unit)
Direct material cost per unit :
Material needed × cost per meter = (1.2 × $0.85) = $1.02
Direct labor cost per unit :
Direct labor hour × cost per hour = ( 0.1 × $15) = $1.5
Overhead cost:
0.1 * $9 = $0.9
Standard cost :
($1.02 + $1.5 + $0.9) = $3.42
Answer:
Step-by-step explanation:
From your last step, divide by 3 throughout.
You cannot divide by 6x throughout because 3 cannot be divided by 6x.
Another way to do it is:
However, if the question requires you to leave your answer in a single fraction in its simplest form, only the first answer is accepted.
A is equal to B complement.
A∪B={}
A is not a subset of B.
If A∩B = Ø and A and B are not the empty set, all of the following are true except Option 3
That set which doesn't contain any value is called empty set. This is also called as null set or void set. This is denoted by Ø or { }
We have given A∩B = Ø
Case1:
If A∩B = Ø and A and B are not the empty set, A and B are non empty set which means A and B are disjoint.
Hence, Option 1 is correct.
Case2:
If there intersection is empty means there is nothing common. Hence, Option 2 is correct.
Case3:
A and B are non-empty sets means their union can not be empty.
Hence, option 3 is incorrect.
Case4:
A can't be subset of B because Subset is the same elements in B of A which is not possible because their intersection is empty.
Hence, Option 4 is correct.
Therefore, If A∩B = Ø and A and B are not the empty set, all of the following are true except Option 3.
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Answer:
Option 3
Step-by-step explanation:
We have give
Case1:
A and B are non empty set which means A and B are disjoint
Hence, Option 1 is correct.
Case2:
When there intersection is empty means there is nothing common
Hence, A is not of B or A is equal to complement of B
Hence, Option 2 is correct.
Case3:
A and B are non-empty sets means their union can not be empty
Hence, option 3 is incorrect.
Case4:
A can not be subset of B because Subset is the same elements in B of A which is not possible because their intersection is empty
Hence, Option 4 is correct.
We have to choose false statement
Therefore, Option 3
Answer:
8
Step-by-step explanation:
First, convert the mixed fraction to an improper one:
Then, multiply:
Cross-reduce:
And simplify:
| + 3| = 2
+ 3 = 2
= –1
x = –2
What is the other solution to the given absolute value equation?
x=
The other solution to the given absolute value equation is x = -6 and this can be determined by using the arithmetic operations.
Given :
Equation --- 3 + 4|x + 3| = 11
The following steps can be used to evaluate the given equation:
Step 1 - Write the given equation.
3 + 4|x + 3| = 11
Step 2 - Take the negative sign of modulus that is:
3 + 4(- x - 4) = 11
Step 3 - Simplify the above equation.
3 - 4x - 16 = 11
Step 4 - Add 4x on both sides in the above expression.
3 - 16 = 11 + 4x
-13 = 11 + 4x
Step 5 - Subtract 11 on both sides in the above expression.
-13 - 11 = 11 - 11 + 4x
- 24 = 4x
Step 6 - Divide 24 by 6 in the above equation.
x = -6
For more information, refer to the link given below:
Answer:
-10
Step-by-step explanation:
edg
Answer:
The equation has two different real solutions
Step-by-step explanation:
The discriminant of the quadratic equation ax² + bx + c = 0 is Δ = b² - 4ac, it used to find the number and type of solutions
∵ The equation is a² + 8a = 13
- Put it in the form ax² + bx + c = 0
- Subtract 13 from both sides
∴ a² + 8a - 13 = 0
∴ The coefficient of a² = 1, the coefficient of a = 8 and the
numerical term = -13
∵ Δ = (coefficient of a)² - 4(coefficient of a²)(numerical term)
∴ Δ = (8)² - 4(1)(-13)
∴ Δ = 64 + 52
∴ Δ = 116
∵ Δ > 0
∴ The equation has two different real solutions