Answer:
area left = (3x² + 6x - 24) in²
Step-by-step explanation:
the area of poster board left
= area of poster board - area of square cut out
= 4x² + 14x - 8 - (x² + 8x + 16) ← distribute parenthesis by - 1
= 4x² + 14x - 8 - x² - 8x - 16 ← collect like terms
= (4x² - x² ) + (14x - 8x) + (- 8 - 16)
= 3x² + 6x + (- 24)
= (3x² + 6x - 24) in²
B. Approximately 255,000 miles per day
C. Approximately 501,000 miles per day
D. None of these
The approximate circumference of the orbit is 93 x 2 x PI = 584.34 billion miles.
Divide that by the number of days:
584.34 / 365.25 = 1.6 million miles a day
(-3, 12); y = -3x + 5
Answer: y = -3x + 3 or y = 3 - 3x
Step-by-step explanation:
First, we need to determine our slope. Thankfully for us, the slope of a line parallel to another is the same.
So our slope is -3.
Now, we need to find our y-intercept. To do that, we will use y = mx + b. y is the y-coordinate, m is the slope, x is the x-coordinate, and b is the y-intercept.
Plug in the numbers given.
12 = -3(-3) + b
Simplify.
12 = 9 + b
Subtract 9 from both sides.
12 - 9 = 9 - 9 + b
3 = b
Our y-intercept is 3.
Now, we just put everything together.
y = -3x + 3
The line parallel to y = -3x + 5 that passes through the point (-3, 12) is
y = -3x + 3 or y = 3 - 3x (both are the same just written differently)
15/25 Divididing numerator and denominator by 5 we get:
3 / 5
Answer:
Direct materials
Step-by-step explanation:
In this case we must bear in mind that as more products are sold, more material is needed to manufacture those additional final products
.
Therefore, in this case the cost would be related mainly to the materials, mainly the direct materials, since they are essential in the production of the product.
The cost that will increase as a result of the 12% increase in sales in the second half of the year is the variable cost, specifically the variable cost associated with producing additional units to meet the higher demand.
If Wesson Company sold 10,000 units of its only product in the first half of the year and sales increase by 12% in the second half of the year, the cost that will increase is the cost of producing the product, which includes both the variable and fixed costs associated with manufacturing.
Variable Costs: Variable costs are costs that vary with the level of production or sales.
These costs typically include expenses like raw materials, direct labor, and variable overhead. When sales increase by 12%, variable costs will also increase proportionally because more units of the product need to be produced to meet the higher demand.
Fixed Costs: Fixed costs are costs that do not vary with changes in production or sales levels, at least in the short term.
Examples of fixed costs include rent, salaries of permanent employees, and certain administrative expenses. Fixed costs usually remain constant regardless of changes in sales.
So, the cost that will increase as a result of the 12% increase in sales in the second half of the year is the variable cost, specifically the variable cost associated with producing additional units to meet the higher demand. Fixed costs, on the other hand, will remain the same unless there are specific contractual or structural changes in the business that affect these costs.
for such more question on variable cost
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marbles if the first marble selected is returned to the box before the second
marble is selected.
O 1/2
O 49/100
014/20
O 2/7
Answer:
the correct answer is 2/7
O -$3.008.23
O $608.23
$591.77
O $1,808.23
$3.008.23
Intro
Done
Answer:
591.77
Step-by-step explanation:
we multiply 600 by 3 to get 1,800 then subtract 1,208.23 from 1,800 to get 591.77