A train arrives at the station with 150 passengers on board. 2/5 of the passengers get off the train in seattle , and then 35 passengers board the train . How many passengers are on the train when it leaves the station?

Answer:

∠ 1 = 58°

Step-by-step explanation:

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

117° is an exterior angle of the triangle, then

∠ 1 + 59° = 117° ( subtract 59° from both sides )

∠ 1 = 58°

Answer:

photo isn't clear, first of all u have to click clear picture

Solution :

Given :

[tex]$f(x)=x^3-x^2-18x+19$[/tex]

By using the remainder theorem, if f(x) is divided by (x-k) and the remainder is 'r', then

[tex]$f(x)=(x-k)q(x)+r$[/tex]

Here, k = 4

Therefore, divide the f(x) with (x - 4) to find the q(x) and r.

           __________________

[tex]$x-4$[/tex]    |    [tex]$x^3-x^2-18x+19$[/tex]         |      [tex]$x^2+3x-6$[/tex]

            [tex]$x^3-4x^2$[/tex]

         ------------------------------------

                    [tex]$3x^2-18x$[/tex]

                    [tex]$3x^2-12x$[/tex]

          -------------------------------------

                          [tex]$-6x+19$[/tex]

                          [tex]$-6x+24$[/tex]

          -------------------------------------

                                  [tex]$-5$[/tex]

Therefore,

q(x) =  [tex]$x^2+3x-6$[/tex]

  r = -5

[tex]$f(x)=(x-4)(x^2+3x-6)-5$[/tex]

[tex]$f(4)=(4-4)(4^2+3 \times 4-6)-5$[/tex]

       [tex]$=-5$[/tex]

-43/204

Step-by-step explanation:

−5/12 × 17/17 + 7/34 × 6/6 =

= −85/204 + 42/204

= −85 + 42/204

= −43/204

Answer:

58°

Step-by-step explanation:

Good luck , hope it helped you :)

Answer:

58 degrees

Step-by-step explanation:

Since a straight line is 180 degrees then we can find out the two missing angles within the triangle.

180-126=54

180-112=68

54+68=122

180-122=58

m=58 degrees

Hope this helps :)

Answer:

180

Step-by-step explanation:

This basically means that one and a half of the amount of people that took a biking class ran on the treadmill.

There are two ways to solve

1. [tex]\frac{150*120}{100}[/tex]

2. [tex]120+\frac{120\\}{2}[/tex]

To do the first one:

1. Multiply the values in the numerator

18000/100

2. Divide

180

To do the second one:

1. Divide the fraction

120 + 60

2. Add

180

Answer:

PQ should be the answer

Step-by-step explanation:

Answer:

29.5

Step-by-step explanation:

Order from least to greatest

11, 17, 17, 19, 28, 31, 40, 44, 45, 49

Then find the middle number which is 28 and 31 so add the two numbers

28 + 31 = 59

then

59 divided by 2 = 29.5

Answer:

Please read below:

Step-by-step explanation:

To calculate the area, you'll need πr². In this case, 3.14 * r²

If the radius is 50 feet, you'll calculate 50 * 3.14² which equals 492.98, or, B

Hope this helps :)

Answer:

[tex]\:x=-\frac{3}{2},x=-\frac{1}{2}[/tex]

Step-by-step explanation:

Subtract 4 from both sides:

[tex]4x^2+8x+7-4=4-4[/tex]

Simplify:

[tex]4x^2+8x+3=0[/tex]

Solve with the quadratic formula:

[tex]x_{1,\:2}=\frac{-8\pm \sqrt{8^2-4\cdot \:4\cdot \:3}}{2\cdot \:4}[/tex]

[tex]x_{1,\:2}=\frac{-8\pm \:4}{2\cdot \:4}[/tex]

Separate the solutions:

[tex]x_1=\frac{-8+4}{2\cdot \:4},\:x_2=\frac{-8-4}{2\cdot \:4}[/tex]

The solutions to the quadratic equation are:

[tex]\:x=-\frac{3}{2},x=-\frac{1}{2}[/tex]

The angle 4 and 120 degrees angles are alternate angles. Therefore, ∠4 = 120 degrees.

Alternate interior angles are the angles formed when a transversal intersects two parallel lines.

Alternate interior angles are the angles formed on the opposite sides of the transversal.

Alternate interior angles are congruent.

Therefore,

∠4 is an alternate interior angle to angle 120 degrees.

Therefore,

∠4 = 120 degrees.

learn more on alternate interior angles here: brainly.com/question/14693114

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Answer:

Number of terms classification: Occasionally a quadrinomial.

Degree classification: 3rd degree

Step-by-step explanation:

There are four terms hence the name, quadrinomial.

The highest exponent is 3, so it is to the third degree

Answer:

56.52

Step-by-step explanation:

Circumeference Equation=2πr

Answer:

50688

Step-by-step explanation:

thats all i got sorry if thats wrong but i hope this helps.

Answer:

1/6

Step-by-step explanation:

There are 12 numbers in total. There is a 2 on each cube so there are two possible chance. 2/12=1/6 2/2=1 and 12/2=6 therefore 2/12=1/6

The solution is,  the probability that the result will have at least one two in it is, 1/6.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

given that,

Two six-sided number cubes are rolled at the same time.

so, we get,

There are 12 numbers in total.

There is a 2 on each cube so there are two possible chance.

2/12=1/6

2/2=1

and 12/2=6

now, we have,

therefore 2/12=1/6.

Hence, The solution is,  the probability that the result will have at least one two in it is, 1/6.

To learn more on probability click:

brainly.com/question/11234923

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Answer:   (2)

Step-by-step explanation:  y=18(0.75)  0.75 as a percent is 75%, kind of like what would happen in the graph with the mathematical term Pneumonoultramicroscopicsilicovolcanoconiosis.

Answer:

8 hours

Step-by-step explanation:

Create an equation that sets the costs equal to each other, where h is the number of hours

3.5h + 20 = 4.75h + 10

Solve for h

3.5h + 20 = 4.75h + 10

20 = 1.25h + 10

10 = 1.25h

8 = h

So, it will take 8 hours for the costs to be equal

Answer:

Owen can type 536 2/3 per minute

Step-by-step explanation:

let me know if this is wrong

Answer

I am getting a different answer The reason being the first year we calculating the 4% of the initial amount of the $500 towards the end of the year if he deposits the 250 the second year he gets to have a 4% interest of the 750 in total If he deposits the 250 in the 3rd he gets to have a 4% of 1000 So if you actually calculate that and get the total of all the amount which is 1,000 plus the percentages of all that you get what I've shared

9514 1404 393

Answer:

  d  $1342.83

Step-by-step explanation:

At the end of the first year, the account balance will be $500 plus 4% interest on that amount, plus the $250 deposited at the end of the year:

  $500(1.04) +250 = $770

At the end of the second year, the account balance will be $770 plus 4% interest on that amount, plus the $250 deposited at the end of the year:

  $770(1.04) +250 = $1050.80

At the end of the third year, the account balance will be $1050.80 plus 4% interest on that amount, plus the $250 deposited at the end of the year:

  $1050.80(1.04) +250 = $1342.83

_____

Additional comment

You can make an appropriate guess by realizing the total of the deposits is ...

  $500 + 3×250 = $1250

Adding interest to that will increase the amount. The only answer choice greater than $1250 is $1342.83.

Answer:

20 days?

Step-by-step explanation:

3 times a day is 15 and 300 ÷ 15 = 20

Answer:

Step-by-step explanation:

Please see diagram attached.

Moon A and C are 100,000km + 10,000 = 110,000km from center of planet.

So they are 110,000 + 110,000 = 220,000km apart.

Answer:

Step-by-step explanation:

AC is 220000km according to the drawing:

Answer:-23+57=34  and 57 + -23 =34

                                                                                                       |    

Step-by-step explanation: −60−50−40−30−20−10 0 10 20 30 40 50 60 70 80

regardless of the way you put it the positive is bigger so that means the you subtract 57 - 23 each time .

Answer: The required product of two given algebraic expressions =15abc +10b²c²

Step-by-step explanation:

Here we need to multiple two algebraic expressions: 3ab+2bc, 5bc

i.e. The required product = (3a+2bc)  x (5bc)

= 3a x 5bc + 2bc x 5bc    [Using right distributive property: (a+b)c= ac+bc]

= (3x 5)  abc + (2 x 5) (bc)²

= 15abc +10b²c²

Therefore, the required product of two given algebraic expressions = 15abc +10b²c²

Answer:

Any point greater Than 0 and less than 180°

Step-by-step explanation:

Obtuse angle measures are angles which measures angles in the range between 0° and 180°. Angles which lies between these range are called obtuse angles. Hence, from the question, if the ray of points measured does not point to 0° or 180°; then, the ray of angle points could have pointed to any angle between greater Than Zero less than 180.

Hence the points could 10 and 120 or any other values which meets the obtuse angle condition.

Answer:

173-degree angle (any angle larger than 90 degrees is obtuse and why are there favorite numbers all of a sudden????)

145-degree angle (there really is no reason to choose 2 certain numbers)

Step-by-step explanation:

any angle larger than 90 degrees is obtuse, so there you go my children.

Answer:

the answer is 1/5 because y/x gives you k

Step-by-step explanation:

Answer:

the answer be 19 .. also u can use photomath I gives u answers and tells u how ro do them

Answer:

A cylinder and 2 half spheres

Step-by-step explanation:

Using my eyes, I see 1 cylinder and 2 half spheres at the ends of the cylinder.

The shapes that combined to form the comppsite figure are a Cylinder and two half Sphere.

Option A) A cylinder and 2 half spheres is the correct answer.

A cylinder is simply a 3-dimensional shape having two parallel circular bases joined by a curved surface.

A hemisphere is gotten when a sphere is cut into two equal halves. It is half of a shere.

From the Image, one can see that a cylinder and two hemispheres combined to form the composite figure.

Hence, the shapes that combined to form the comppsite figure are a Cylinder and two half Sphere.

Option A) A cylinder and 2 half spheres is the correct answer.

Learn more about hemisphere here: brainly.com/question/3362286

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Answer:

Call child abuse

Step-by-step explanation:

so you dont die kid

Answer:

2,3

4,3

3,3

4,5

5,4

6,7

8,8

8,9

Answer:

Step-by-step explanation:

tanα=h/d, where α=angle of elevation, h=height, d=horizontal distance.

d=h/tanα, we are given that h=4ft and α=4.76° so

d=4/tan4.76° ft

d≈48.04 ft  (to nearest hundredth of a foot)