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3 years ago

Which is equivalent to the following expression (3m^2+2mn-n^2)+(m^2+4mn-n^2)

Mathematics

1 answer:

olga2289 [7]3 years ago

4 0

Answer:

Step-by-step explanation:

$(3m^2+2mn-n^2)+(m^2+4mn-n^2)\\\\=3m^2+2mn-n^2+m^2+4mn-n^2\qquad\text{combine like terms}\\\\=(3m^2+m^2)+(2mn+4mn)+(-n^2-n^2)\\\\=\boxed{4m^2+6mn-2n^2}$

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In a large Introductory Statistics lecture hall, the professor reports that 55% of the students enrolled have never taken a Calc

Anna35 [415]

Answer:

a) There is a 13% probability that a student has taken 2 or more semesters of Calculus.

b) 45% probability that a student has taken some calculus.

c) 87% probability that a student has taken no more than one semester of calculus.

Step-by-step explanation:

We have these following probabilities:

A 55% that a student hast never taken a Calculus course.

A 32% probability that a student has taken one semester of a Calculus course.

A 100-(55+32) = 13% probability that a student has taken 2 or more semesters of Calculus.

a) two or more semesters of Calculus?

There is a 13% probability that a student has taken 2 or more semesters of Calculus.

b) some Calculus?

At least one semester.

So there is a 32+13 = 45% probability that a student has taken some calculus.

c) no more than one semester of Calculus?

At most one semester.

So 55+32 = 87% probability that a student has taken no more than one semester of calculus.

5 0

4 years ago

Read 2 more answers

What is the next term of the arithmetic sequence? -2, 3, 8, 13, 18,

Aneli [31]

Answer:

$\boxed{\boxed{\sf~a_6=23}}$

Solution Steps:

This is an arithmetic sequence since there is a common difference between each term. In this case, adding 5 to the previous term in the sequence gives the next term. In other words, $a_n=a_1+d(n-1)$ .

Arithmetic Sequence: $d=5$

Find the next term using the Arithmetic Sequence.

Arithmetic Sequence: $a_6=a_5+5$

$a_6=18+5=23$

7 0

3 years ago

Read 2 more answers

Green paint is made by mixing yellow and blue. white paint in the ratio 2:7 . how much blue paint is needed to make 64 liters of

Svetradugi [14.3K]

Answer:

Green paint is made by mixing blue, yellow and white paints in the ratio 2 : 7 : 1. How much blue paint is needed to make 64 litres of green paint? Therefore, the required blue paint = 12.8 litres

Step-by-step explanation:

7 0

3 years ago

I'm am very confused with this question.

stich3 [128]

Answer:

103°

Step-by-step explanation:

This is a cyclic quadrilateral (all vertices on the same circle)

Opposite angles are supplementary:

∠A + ∠C = 180°
∠B + ∠D = 180°

Find x:

x + 5 + x - 7 = 180°
2x - 2 = 180°
2x = 182°
x = 91°

Find D:

∠D = x - 14°
∠D = 91° - 14° = 77°

Find B:

∠B = 180° - 77° = 103°

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3 years ago

30-3x3/3+8(2) can someone give me an explanation for how they got the answer?

Sliva [168]

Answer:

Step-by-step explanation:

Order of Operations first

30 - 9 / 3 + 8 x 2

30 - 3 + 16

27+16

8 0

3 years ago