Can someone give me a few examples of economic factors/conditions determining foreign policy decisions.

The one example I have so far is the economic crash in 2008 triggering a outcry for economic relief. People no longer cared about the iraq war.

Japan cut off from oil supplies in Southeast Asia and from steel from the US and others feels it must defeat western navies in the Pacific to protect its vital supply routes. It attacks Pearl Harbor and the Philippines and the Dutch and English in Asia. Dec 7, 1941

What are the next three terms in the sequence?

–1, 9, 19, 29, …
A. 38, 37, 32
B. 40, 51, 62
C. 39, 49, 59
D. 38, 47, 56
bot can you help?

The sequence is increasing by 10 each time. So the next three terms are:

- 39
- 49
- 59

Therefore, the answer is C. 39, 49, 59.

Geoff planted dahlias in his garden. Dahlias have bulbs that divide and reproduce underground. In the first year, Geoff’s garden produced 4 bulbs. In the second year, it produced 8 bulbs, and in the third year, it produced 16 bulbs. If this pattern continues, how many bulbs should Geoff expect in the tenth year?

A. 2,048 bulbs
B. 1,024 bulbs
C. 40 bulbs
D. 32 bulbs

This is a geometric sequence where each term is double the previous term.

So, the fourth year would produce 32 bulbs (16 x 2), the fifth year would produce 64 bulbs (32 x 2), and so on.

To find the number of bulbs in the tenth year, we need to find the 10th term of the sequence.

The formula for finding the nth term of a geometric sequence is:

a_n = a_1 * r^(n-1)

where a_1 is the first term, r is the common ratio, and n is the term we want to find.

In this case, a_1 = 4, r = 2, and n = 10.

a_10 = 4 * 2^(10-1)

a_10 = 4 * 2^9

a_10 = 4 * 512

a_10 = 2,048

Therefore, Geoff should expect 2,048 bulbs in the tenth year.

The answer is A. 2,048 bulbs.

Question 3 of 19

What are the first four terms of the sequence represented by the expression n(n – 1) – 4?
A. –2, 2, 6, 10
B. –3, 0, 3, 6
C. –4, –2, 2, 8
D. –5, –4, –2, 6

To find the first four terms of the sequence, we need to substitute the values of n from 1 to 4 and evaluate the expression.

n(n - 1) - 4

For n = 1: 1(1 - 1) - 4 = -4

For n = 2: 2(2 - 1) - 4 = -2

For n = 3: 3(3 - 1) - 4 = 4

For n = 4: 4(4 - 1) - 4 = 8

Therefore, the first four terms of the sequence are:

-4, -2, 4, 8

The answer is D. -5, -4, -2, 6.

A car traveling at 46 mi/h slows to a speed of 23 mi/h in 5 seconds. It maintains that speed for 5 seconds and then slows to a stop after 5 more seconds. Which graph shows the car’s speed over time?

A. A number of points are shown on a graph. The points are connected by line segments.The y-axis is labeled Speed left-parenthesis miles per hour right-parenthesis and is numbered from 0 to 60 with a step size of 10. The x-axis is labeled Time left-parenthesis s right-parenthesis and is numbered from 0 to 15 with a step size of 5. The line segments connect these approximate points: left-parenthesis 0 comma 22 right-parenthesis and go through approximately left-parenthesis 5 comma 22 right-parenthesis, left-parenthesis 10 comma 46 right-parenthesis, and left-parenthesis 15 comma 46 right-parenthesis.
B. A number of points are shown on a graph. The points are connected by line segments.The y-axis is labeled Speed left-parenthesis miles per hour right-parenthesis and is numbered from 0 to 60 with a step size of 10. The x-axis is labeled Time left-parenthesis s right-parenthesis and is numbered from 0 to 15 with a step size of 5. The line segments connect these approximate points: left-parenthesis 0 comma 46 right-parenthesis and go through approximately left-parenthesis 5 comma 22 right-parenthesis, left-parenthesis 10 comma 22 right-parenthesis, and left-parenthesis 15 comma 0 right-parenthesis.
C. A number of points are shown on a graph. The points are connected by line segments.The y-axis is labeled Speed left-parenthesis miles per hour right-parenthesis and is numbered from 0 to 60 with a step size of 10. The x-axis is labeled Time left-parenthesis s right-parenthesis and is numbered from 0 to 15 with a step size of 5. The line segments connect these approximate points: left-parenthesis 0 comma 24 right-parenthesis and go through approximately left-parenthesis 5 comma 46 right-parenthesis, left-parenthesis 10 comma 46 right-parenthesis, and left-parenthesis 15 comma 0 right-parenthesis.
D. A number of points are shown on a graph. The points are connected by line segments.The y-axis is labeled Speed left-parenthesis miles per hour right-parenthesis and is numbered from 0 to 60 with a step size of 10. The x-axis is labeled Time left-parenthesis s right-parenthesis and is numbered from 0 to 15 with a step size of 5. The line segments connect these approximate points: left-parenthesis 0 comma 0 right-parenthesis and go through approximately left-parenthesis 5 comma 23 right-parenthesis, left-parenthesis 10 comma 23 right-parenthesis, and continues on through just above left-parenthesis 15 comma 45 right-parenthesis.

The car starts at a speed of 46 mi/h, slows down to 23 mi/h in 5 seconds, maintains that speed for 5 seconds, and then slows down to a stop after 5 more seconds.

Therefore, the speed-time graph of the car should show a straight line dropping from 46 to 23 over the first 5 seconds, followed by a horizontally straight line at 23 for the next 5 seconds, and then another straight line dropping from 23 to 0 over the last 5 seconds.

Option B shows the car starting at 46 mi/h and dropping to 23 mi/h in 5 seconds but then shows a drop to 0 over the next 5 seconds, which is incorrect. Therefore, option B is not correct.

Option C starts at 24 mi/h instead of 46 mi/h, which is incorrect, so option C is not correct.

Option D shows the car starting at 0 mi/h, which is incorrect. It also shows the speed dropping to 23 mi/h over the first 5 seconds but then maintains its speed at 23 for the next 10 seconds, which is incorrect. Therefore, option D is not correct.

Option A shows the car starting at 0 mi/h and then quickly rising to 22 mi/h over the first 5 seconds, which is incorrect. It also shows the car maintaining its speed at 46 mi/h for the next 5 seconds, which is incorrect. Therefore, option A is not correct.

Therefore, the correct graph is not shown.

actually the correct graph is shown, your answer is wrong.