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5 days ago

Which expression is equivalent to the given polynomial expression?

Mathematics

1 answer:

Zina [9.1K]5 days ago

6 0

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).

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A high school theater club has 40 students, of whom 6 are left-handed. Two students from the club will be selected at random, on

babunello [8402]

Response:

$1.92\%$

Detailed explanation:

Probability for an event is calculated as the ratio of the size of the event space compared to that of the sample space.

The sample space encompasses all possible outcomes.

Event space represents the number of favorable outcomes for the event in question.

Thus

Let

x ------> size of event space

y ----- → size of sample space

$P=\frac{x}{y}$

Calculate the probability of the first student being left-handed

we have

$x=6$

$y=40$

substituting values

$P=\frac{6}{40}$

Simplify

$P=\frac{3}{20}$

Calculate the probability of the second student being left-handed

we have

$x=6-1=5$

$y=40-1=39$

substituting values

$P=\frac{5}{39}$

Calculate the probability that both selected students will be left-handed

Multiply the probabilities together.

$P=\frac{3}{20}(\frac{5}{39})=\frac{15}{780}$

Convert to percentage

Multiply by 100

$\frac{15}{780}(100)=1.92\%$

4 0

27 days ago

How to solve 67.8 × 0.45

Zina [9157]

I believe the answer is 30.51, but you should verify by dividing.

3 0

3 days ago

Read 2 more answers

Farmer Alex has 32 llamas each of whom needs 10000 square feet of grazing area. He wants to enclose a rectangular pen along a st

tester [8808]

Take note of the image below

the riverbank requires no fencing due to the river's presence
so the pen's perimeter can be calculated as 2w + l, or w + w + l
thus $\bf \textit{area of a rectangle}\\\\
A=lw\qquad A=10000\implies 10000=lw\implies \cfrac{10000}{w}=\boxed{l}
\\\\\\
\textit{perimeter of enclosed pen}\\\\
P=2w+l\implies P(w)=2w+\boxed{\cfrac{10000}{w}}$

derive P(w), set it to zero, locate any critical points, and perform a first-derivative test for minimum values.

8 0

14 days ago

Read 2 more answers

Joe is taking the train from his hometown to Georgetown and back to his hometown. The distance to Georgetown is 350 miles. How m

tester [8808]

Answer:

The answer is A.

Step-by-step explanation:

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1 month ago

Write an expression for cos 68° using sine

zzz [9066]

Answer:

sin22°

Step-by-step explanation:

By applying the cofunction identity

cos x = sin (90 - x), we get:

cos68° = sin(90 - 68)° = sin22°

8 0

15 days ago