Give the next two terms in the following sequence: -18, -17, -9, 18, 82

Mathematics

1 answer:

Fed [463]2 years ago

7 0

Answer:

-18, -17, -9, 18, 82, 207, 423, 766, 1278

Step-by-step explanation:

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I ordered some books online for myself and friends. Each book costs \$ 13$13 and the store charges a flat rate for shipping of

Sonbull [250]

Answer: 13n + 20

Step-by-step explanation:

The cost of each book is $13. That means that if you end up buying "n" books, cost would be:

= Cost of each book * number of books

= 13 * n

= 13n

You would also get charged a flat rate for shipping of $20 which would be added to the above cost to bring a total of:

= 13n + 20

8 0

2 years ago

A prisoner is trapped in a cell containing three doors. The first door leads to a tunnel that returns him to his cell after two

Greeley [361]

Answer:

The expected number of days until the prisoner reaches freedom is 2.8.

Step-by-step explanation:

Door 1: 0.3 probability of being selected. Leads to his cell after two days' travel.

Door 2: 0.5 probability of being selected. Leads to his cell after four days' travel.

Door 3: 0.2 probability of being selected. Leads to his cell after one day of travel.

What is the expected number of days until the prisoner reaches freedom?

We multiply the probability of each door being used by the time that it leads to the cell. So

E = 0.3*2 + 0.5*4 + 0.2*1 = 2.8

The expected number of days until the prisoner reaches freedom is 2.8.

4 0

2 years ago

Draw a diagram in which segment AB intersects segment CD equals segment CB

Contact [7]

The <u>correct diagram</u> is attached.

Explanation:

Using technology (such as Geogebra), first construct a line segment. Name the endpoints C and D.

Construct the perpendicular bisector of this segment. Label the intersection point with CD as B, and create another point A above it.

Measure the distance from C to B and from B to D. They will be the same.

Measure the distance from A to B. If it is not the same as that from C to B, slide A along line AB until the distance is the same.

Using a compass and straightedge:

First construct segment CD, being sure to label the endpoints.

Set your compass a little more than halfway from C to D. With your compass set on C, draw an arc above segment CD.

With your compass set on D (the same distance as before) draw an arc above segment CD to intersect your first arc. Mark this intersection point as E.

Connect E to CD using a straightedge; mark the intersection point as B.

Set your compass the distance from C to B. With your compass on B, mark an arc on EB. Mark this intersection point as A.

AB will be the same distance as CB and BD.