What is m∠N?

A. 19°
B. 68°
C. 95°
D. 112°

Answer:

y = -3x + 4

Step-by-step explanation:

y = -3x - 1

a parallel line is going to look identical to the previous equation except for the last number.

for example,

y = -3x + 10

and

y = -3x - 2

are both parallel lines

now, substitute y and x for the points of the coordinate given.

y = -3x - 1

-8 = -3*4 - 1

-8 = -12 - 1

this equation isn't true.

so change the last number to make it true

-8 = -12 + 4

-8 = -8

so, your new equation is

y = -3x + 4

Step-by-step explanation:

We need to use the binomial theorem/Pascal's triangle here.

(a+b)^5 = (5 choose 0)a^5 + (5 choose 1)a^4*b + (5 choose 2)a^3*b^2 + (5 choose 3)a^2*b^3 + (5 choose 4)a*b^4 + (5 choose 5)b^5.

5 choose 0 = 1

5 choose 1 = 5

5 choose 2 = 10

5 choose 3 = 10

5 choose 4 = 5

5 choose 5 = 1

And 1, 5, 10, 10, 5, 1, is the (5+1) = 6th row of pascal's triangle.

Therefore we get

g^5 + 5g^4*2 + 10g^3*2^2 + 10g^2*2^3 + 5g*2^4 + 2^5

which is

g^4 + 10g^4 + 40g^3 + 80g^2 + 80g + 32

Or, you could do the slow way, by just doing (g+2)(g+2)(g+2)(g+2)(g+2)

Answer:

[tex]( - 2) ^{4} \times ( - 3) ^{7} \\ = 16 \times 27 \\ = positive[/tex]

A) 5x + 4y = 120

3x + 5y = 98

B) To solve this, we must solve the equation.

5x + 4y = 120

3x + 5y = 98

STEP ONE:

Divide

x + 4/5y = 24

STEP TWO:

Substitute the variable

x = 24 - 4/5y

STEP THREE:

Substitute the value of the variable

3(24 - 4/5y) + 5y = 98

STEP FOUR:

Multiply

72 - 12/5y + 5y = 98

STEP FIVE:

Subtract 72 from both sides

-12/5y + 5y = 26

STEP SIX:

Add

Turn 5y into 25/5y

-12/5y + 25/5y = 26

13/5y = 26

2.6y = 26

STEP SIX:

Divide 2.6 from both sides

26/2.6 = 10

y = 10

Each Hip-Hop CD Costs $10

(We will save this for later, because the question asked about rock CDs.)

STEP SEVEN:

Find x

x = 24 - 4/5(10)

4/5 = 0.8

0.8(10) = 8

x = 24 - 8

x = 16

Therefore, each Rock CD costed $16.

C) We found this earlier, each Hip-Hop CD costs $10.

Sorry this was a little lengthy, but I hope this helped!

Answer:

The answer is 4.6.

Step-by-step explanation:

If you look at the graph closely, you would see that the intersection is very close to 4, so the answer is 4.6.

Answer:

9

Step-by-step explanation:

The length of the paper , x, can be obtained using Pythagoras :

Width = 12 ; length = 15

x² = 15² - 12²

x² = 225 - 144

x² = 81

x = sqrt(81)

x = 9

Hence, length of the paper = 9 inches

Answer:

y=1/3x-3

m1=1/3

from,m1m2=-1

1/3m2=-1

m2=-3

again, from

m=(y-y1)/(x-x1)

-3=(y-2)/(x-3)

y-2=-3(x-3)

y-2=-3x+9

y=-3x+9+2

y=-3x+11

Answer:

6 cells

Step-by-step explanation:

Cell A = 1 hour to complete cycle and produce 2 cells

Number of cycles completed on 6 hours = 6 cycles

Number of cell produced = 2 * number of completed cycles = 2 * 6 = 12 cells

Cell B = 2 hours to complete a cycle ; 2 cells produced per cycle

Number of cells produced after 6 hours :

Number of cycles in 6 hours = 6/2 = 3 cycles

Number of cells produced = 3 * 2 = 6 cells

Difference in cells produced : (12 - 6) = 6 cells

Answer:

[tex] \huge\boxed{d. \: 18a {b}^{3} \: and \: 16 {a}^{3} b}[/tex]

is the unlike pair terms.

Answer:

200.08

Step-by-step explanation:

Answer:

y² = 9² + 19² - 2(9)(19)Cos (41°)

Step-by-step explanation:

Triangle X Y Z is shown.

The length of X Y is 9,

the length of Y Z is 19, and the length of X Z is y. Angle X Y Z is 41 degrees.

Law of cosines is given as:a²= b² + c² – 2bccos(A)

Applying this to Triangle XYZ, and since we are Solving for y

y² = x² + z² - 2xzCos Y

The length of X Y = x is 9,

the length of Y Z = y is 19

y²= 9² + 19² - 2(9 × 19)Cos (41°)

= y² = 9² + 19² - 2(9)(19)Cos (41°)

Option d is correct

Answer:

Choice D is correct

Step-by-step explanation:

Just took the test

9514 1404 393

Answer:

  D.  52 ÷ 3 =17, with a remainder of 1

Step-by-step explanation:

There are only two answer choices that make a true statement: A and D. Of these, comparison with the diagram shows that you're looking for a statement where 17 and a remainder of 1 are involved. That's choice D.

Answer:

(x-8)(x+7) in which x = 8, -7 (if needed)

Step-by-step explanation:

Figure out first what two numbers can go to 56.  The possible combinations are 1 and 56, 2 and 28, 4 and 14, and 7 and 8.  The middle number has to equal the sum of -1.  Therefore, 7 and 8 will go to that sum with -8 as one and +7 as another.  Your factor should be (x - 8) (x + 7) and when you are finding for the x-values, it should be 8 and -7 when necessary.  

Probability of choosing number less than 4 from number 1 to 10 is equals to [tex]\frac{3}{10}[/tex].

" Probability is defined as the mathematical statement which represents the ratio of number of favourable outcomes to the total number of outcomes."

Formula used

Probability = [tex]\frac{Number of favourable outcomes }{Total number of outcomes}[/tex]

According to the question,

Given ,

Numbers from which Stacia randomly chooses a number = 1 to 10

                                                                                                 = { 1, 2, ..., 10}

Condition for choosing a number = less than 4

                                                        = {1, 2, 3}

Substitute the value in the formula of probability we get,

Probability of choosing a number less than 4 = [tex]\frac{3}{10}[/tex]

Hence, Option(C) is the correct answer.

Learn more about probability here

https://brainly.com/question/11234923

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