What the nth term of each of the following series is

I really need some help on this question

Leya [2.2K]

Answer:

What is the car's rate in kilometers per minute?

$0.9\frac{km}{min}$

How many kilometers will the car travel in 5 minutes?

$4.5\ km$

Step-by-step explanation:

If we know:

$\frac{54\ km}{1\ hour}$

And there are 60 minutes in an hour:

$\frac{1\ hour}{60\ minutes}$

We can do:

$\frac{54\ km}{1\ hour} * \frac{1\ hour}{60\ minutes} = \frac{54\ km}{60\ minutes} = 0.9 \frac{km}{min}$

From here, we figure out the distance from minutes:

$0.9\frac{km}{min} * 5 = 4.5\ km$

3 0

2 years ago

What are the solutions of 3t + 2 < 7 or -4t + 5 < 1? Graph the solutions and put each solution in interval notation.

Ghella [55]

Answer:

$\displaystyle (-∞, 2\frac{1}{3}) ∪ (1, ∞) \\ \\ 2\frac{1}{3} > t \:OR\: 1 < t$

Step-by-step explanation:

3t + 2 < 7 OR −4t + 5 < 1

- 2 - 2 - 5 - 5

___________________

$\displaystyle \frac{3t}{3} < \frac{7}{3} \:OR\: \frac{-4t}{-4} < \frac{-4}{-4} \\ \\ t < 2\frac{1}{3} \:OR\: t >1$

**Whenever you divide\multiply by a negative integer, you reverse the inequality symbol given to you initially.

Extended Information on Inequalities

≤, ≥ [dark circle with a dark line (brackets when writing in Interval Notation)]

<, > [light circle with a dashed line (parentheses when writing in Interval Notation)]

I am delighted to assist you at any time.

As you can see in the above graph, the graph is connected ALTOGETHER. Be aware that this will not ALWAYS be the case because a majourity of these graphs are seperated, pointing in OPPOSITE directions.

5 0

2 years ago

A and b have the opposite directions. a has a magnitude of 7 , and b has a magnitude of 6 . What bust be true about a and b?

mafiozo [28]

Answer:

C) They are parallel, but not opposites

Step-by-step explanation:

They would be opposites if they had the same magnitude. As is, they are simply parallel with opposite directions.

4 0

3 years ago

Read 2 more answers

For the following exercises, find the x- and y-intercepts of the graphs of each function.

jok3333 [9.3K]

The x- and y-intercepts of the graphs of the function described are; (2,0) and (4,0) respectively.

<h3>What are the x- and y-intercepts of the graph of the function?</h3>

It follows from the task content that the function given is; f(x) = −2| x +1 | + 6.

Since the x- and y-intercepts corresponds to x and y values for which y and x are zero respectively, it follows that;

x -intercept is;

0 = -2(x+1) + 6

2x = -2 +6

2x = 4

x = 4/2 = 2

y-intercept is;

y = -2(0+1) +6

y = 4.