A plane flies 510 kilometers with a bearing of 316° from Naples to Elgin (see figure). The plane then flies 720 kilometers from Elgin to Canton (Canton is due west of Naples). Find the bearing of the flight from Elgin to Canton. (Round to the nearest whole number.)

Answer:

Step-by-step explanation:

(a + 2)/(a ^ 2 + a) - 3/(a - 2)​

The LCD is (a^2 + a)(a - 2) so we have

[(a + 2) - 3(a^2 + a)] /  (a^2 + a)(a - 2)

= (-3a^2 - 3a + a + 2) / (a^2 + a)(a - 2)

= -3a^2 - 2a + 2 / (a^2 + a)(a - 2)

Answer:

10

because when you plus 3+7 is 10

Answer:

T= total # of jerseys to order

y= # of players

T= 4*y

Total equals 4 times # of players

T= 4y

Answer:

y = -3/2x+3

Step-by-step explanation:

Pick two points on the line

(0,3) and (2,0)

Using the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 0-3)/(2-0)

  = -3/2

The y intercept is 3

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

y = -3/2x+3

Step-by-step explanation:

part 1. Alternate Exterior angle

part 2. 110°

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

Answer:

Angle 1 = 110

Angle 2 = 110

Angle 3 = 70

Angle 4 = 70

Step-by-step explanation:

Angles 1 and 2 are corresponding angles, and therefore congruent

Angles 2 and 3 are same-side interior angles, and therefore supplementary

Angles 3 and 4 are alternate interior angles, and therefore congruent.

Answer:

Angle 2: 110

Angle 3: 70

Angle 4: 70

Answer:

She could out 20 necklaces and 20 bracelets on display and she would make $600.

Step-by-step explanation:

$18 necklaces x 20= $360

$12 bracelets x 20 = $240

totalling $600

Answer:

A is answer

Step-by-step explanation:

Answer:

29.4 minutes represents the 60th percentile

Step-by-step explanation:

Given :  The times for running a 5K for a local charity event are Normally distributed, with a mean time of 28 minutes and standard deviation of 5.4 minutes.

To Find : Which time represents the 60th percentile?

 19.6 minutes

26.6 minutes

29.4 minutes

36.4 minutes

Solution:

time represents the 60th percentile

Means  60 % data = 0.6 below this

from z table ,  z score for this =  0.253

z score  = ( Value - Mean ) / SD

=> 0.253  = ( Value - 28 ) /5.4

=> 1.3662  =  Value - 28

=>  Value = 29.3662

=>  Value = 29.4

29.4 minutes represents the 60th percentile

Answer:

140

Step-by-step explanation:

35 ÷25%

35 ÷ 25/100

140

ok I am a little confused here but I think I may know what your asking.

What is 25% of 35? or you could be asking 35 is 25% of what number?

I'll answer both just in case.

What is 25% of 35?: 35 ÷ 4 = 8.75%

35 is 25% of what number?: 35 x 4 = 140

Answer:

ion

Step-by-step explanation:srry

Answer:

the answer would be c brainlest if right :0

Step-by-step explanation:

Hello!

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I presume the answer is Option C.

It's much easier to evaluate this expression than the other ones.

Hope it helps!

~SparklingFlower

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Answer:

5 /12

Step-by-step explanation:

Answer:

-27/2

Step-by-step explanation:

3/8 × -36

(3×-36)/8

-108/8

-27/2

Step-by-step explanation:

x = 6

is a straight vertical line (parallel to the y-axis, going through x=6 on the x-axis).

it's slope is therefore undefined (infinite). every possible y value (from -infinity to +infinity) is associated with this one x value (6).

Answer: (1,10)

Step-by-step explanation:

Assuming these are the correctly written equations:

-x + 5y = 49, and

x - 4y = -39

I'll rewrite them:

5y = x + 49

y = (1/5)x + (49/5)

-4y = -x -39

y = (1/4)x + (39/4)

=====

I'll assume the question is to find the point these two lines intersect (?).

See the attached graph.  They intersect at (1,10).

Andrew's charges is an illustration of a linear function

The equation that represents the situation is [tex]\mathbf{y = 12x +45}[/tex]

From the table (see attachment), we have the following points

(x,y) = (1,57) and (2,69)

Start by calculating the slope (m)

[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 -x_1}}[/tex]

So, we have:

[tex]\mathbf{m = \frac{69 - 57}{2 -1}}\\[/tex]

Simplify fraction

[tex]\mathbf{m = \frac{12}{1}}[/tex]

Divide

[tex]\mathbf{m = 12}[/tex]

The equation is then calculated using:

[tex]\mathbf{y = m(x - x_1) + y_1}[/tex]

So, we have:

[tex]\mathbf{y = 12(x - 1) + 57}[/tex]

Open brackets

[tex]\mathbf{y = 12x - 12 + 57}[/tex]

Evaluate like terms

[tex]\mathbf{y = 12x +45}[/tex]

Hence, the equation that represents the situation is [tex]\mathbf{y = 12x +45}[/tex]

Read more about linear equations at:

https://brainly.com/question/20286983

#2

#3

#4

#5

#6

#7

Step-by-step explanation:

Missing reasons:

Answer:

In mathematics, the determinant is a scalar value that is a function of the entries of a square matrix. It allows characterizing some properties of the matrix and the linear map represented by the matrix.

Answer:

It's a quantity obtained by the addition of products of the elements of a square matrix which is according to a given rule.

Answer:

I think these are the answers

a) 3

b) 1

c) 1

The rate of change of the size of the diagonal is; 25.2 ft/s

By Pythagoras theorem;

The length, l of a diagonal of a rectangle whose sides have lengths x and y is;

In essence; the length of the diagonal is dependent on the length, x and y of the sides.

Therefore;

(dl/dt)² = (dx/dt)² + (dy/dt)²

where;

Therefore,

(dl/dt)² = 19² + (-15)²

(dl/dt)² = 361 + 225

dl/dt = √586

dl/dt = 25.2

Therefore, the size of the diagonal is changing at a rate of; 25.2 ft/s.

Read more;

https://brainly.com/question/12559989

Answer:

The nth term = n^2 - 2n - 3.

Step-by-step explanation:

Here, we will be finding the nth term of a quadratic number sequence. A quadratic number sequence has nth term = an² + bn + c

Example 1

Write down the nth term of this quadratic number sequence.

-3, 8, 23, 42, 65...

Step 1: Confirm the sequence is quadratic. This is done by finding the second difference.

Sequence = -3, 8, 23, 42, 65

1st difference = 11,15,19,23

2nd difference = 4,4,4,4

Step 2: If you divide the second difference by 2, you will get the value of a.

4 ÷ 2 = 2

So the first term of the nth term is 2n²

Step 3: Next, substitute the number 1 to 5 into 2n².

n = 1,2,3,4,5

2n² = 2,8,18,32,50

Step 4: Now, take these values (2n²) from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.

n = 1,2,3,4,5

2n² = 2,8,18,32,50

Differences = -5,0,5,10,15

Now the nth term of these differences (-5,0,5,10,15) is 5n -10.

So b = 5 and c = -10.

Step 5: Write down your final answer in the form an² + bn + c.

2n² + 5n -10

Example 2

Write down the nth term of this quadratic number sequence.

9, 28, 57, 96, 145...

Step 1: Confirm if the sequence is quadratic. This is done by finding the second difference.

Sequence = 9, 28, 57, 96, 145...

1st differences = 19,29,39,49

2nd differences = 10,10,10

Step 2: If you divide the second difference by 2, you will get the value of a.

10 ÷ 2 = 5

So the first term of the nth term is 5n²

Step 3: Next, substitute the number 1 to 5 into 5n².

n = 1,2,3,4,5

5n² = 5,20,45,80,125

Step 4: Now, take these values (5n²) from the numbers in the original number sequence and work out the nth term of these numbers that form a linear sequence.

n = 1,2,3,4,5

5n² = 5,20,45,80,125

Differences = 4,8,12,16,20

Now the nth term of these differences (4,8,12,16,20) is 4n. So b = 4 and c = 0.

Step 5: Write down your final answer in the form an² + bn + c.

5n² + 4n

Answer:

here is the answer x>1/2

No he did not factor correctly. He needed to factor completely which would get 12(2a+3c)

[tex]y = \dfrac 32 x - \dfrac 38\\\\\\\text{The above equation is in a form of y =mx +b, where m is the slope.}\\\\\\\text{Hence the slope is}~ \dfrac32[/tex]

Answer:

Slope: 3/2

Step-by-step explanation:

Our equation: y = mx + b

Given equation: y = -3x/2 - 3/8

=> Now, let's compare:

=> y = mx + b = y = -3x/2 - 3/8

We can tell that slope = m, which is 3/2.

Hoped this helped.

Answer:

I have difficulty understanding the question.  I read it as "What is the value of  a number that when multiplied by 0.3 times (8/4) is equal to 34.55.  This doesn't seem correct, but if it is:

Step-by-step explanation:

(0.3)*(8/4)x = 34.55

(8/4)x = 115.17

x = (4/8)*(115.17)

x = 57.58

21 is the correct answer.

Answer:

subtract 7 from each side

Step-by-step explanation:

Answer:

Subtract 7 from each side.

Step-by-step explanation:

Answer:

1.2875 × 10^4

Step-by-step explanation: