C. -31m⁴n - 8m²Step-by-step explanation:Given:(9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn)Required:Identify an equivalent expression for itSolution:Distributing the negative sign across the parentheses results in:9mn - 19m⁴n - 8m² - 12m⁴n - 9mnNext, we combine like terms:9mn - 9mn - 19m⁴n - 12m⁴n - 8m²This simplifies to -31m⁴n - 8m²Thus, -31m⁴n - 8m² is the equivalent expression for (9mn - 19m⁴n) - (8m² + 12m⁴n + 9mn).
The diagonal that crosses the interior of the cube is the longest segment. The hypotenuse corresponds to the longest side in a right triangle. In this case, the cube's diagonal serves as the hypotenuse of a right triangle, with the legs being the diagonal of one of its faces and one of its edges. The edges are the shortest sections and function as the legs of a right triangle where the face's diagonal acts as the hypotenuse.
Provided the details regarding the sale prices of baseball cards from the 1960s:
It's established that they display a
skewed-right distribution
The average sale price is $5.25
The standard deviation measures $2.80.
If we draw a random sample of 100 cards
from that era:
The distribution will be Normal
The mean will remain at $5.25
The standard error turns out to be $0.28
Each LED bulb, along with installation labor, is priced at
.. $6.95 +$3 = $9.95
For 100 bulbs over a span of 10 years, that equals (100*10) = 1000 bulb·years. At $9.95 per bulb, 5 bulb·years are obtained, and thus the projected total cost for 1000 bulb·years is
.. (1000 b·y)*($9.95/(5 b·y)) = $1990
In summary, for a decade, the installation and changes of 200 bulbs in 100 lamps amount to $1990. Therefore, the yearly cost is...
.. $1990/(10 yr) = $199/yr
Answer:
Step-by-step explanation:
Given
Solving for (a): n
To find n;
We will utilize
Substituting values for XY and XZ
Dividing by -6
Solving for (b) XY
Substituting 3 for n
Solving for (c): XZ
