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3 years ago

Match each inequality with its solutions set

Mathematics

1 answer:

Shalnov [3]3 years ago

4 0

Answer:

1. will be 2×1+1<_3

2. with 1+3×-2>_5

3. with 5--2×3>_11

4.5×2+7>_17

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A pendulum swings 80 cm on its first swing, 76 cm on its second swing, 72.2 cm on its third swing, and 68.59 cm on its fourth sw

Kisachek [45]

Answer:

$a_{n} = 80*(0.95)^{n-1}$

Step-by-step explanation:

Geometric sequences:

The nth term of a geometric sequence is given by the following equation.

$a_{n+1} = ra_{n}$

In which r is the common ratio.

This can be expanded for the nth term in the following way:

$a_{n} = a_{1}r^{n-1}$

In which $a_{1}$ is the first term.

In this question:

$a_{1} = 80, r = \frac{68.59}{72.2} = \frac{72.2}{76} = \frac{76}{80} = 0.95$

a. If the pattern continues, what explicit formula can be used find the distance of the nth swing?

$a_{n} = a_{1}r^{n-1}$

$a_{n} = 80*(0.95)^{n-1}$

7 0

3 years ago

What is the slope of (2 , -2) (0,4)

Bogdan [553]

Answer:

-3

Step-by-step explanation:

The slope for two points is found by

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

= (4--2)/(0-2)

= (4+2)/(0-2)

= (6/-2)

=-3

5 0

3 years ago

Read 2 more answers

Please help me if you can pleasee

Lerok [7]

Answer:

Slope for #17 is 3/2

Slope for #18 is -18

Step-by-step explanation:

6 0

3 years ago

You have 26 cards, each labeled with a letter of the alphabet. What is the probability of drawing a car that is a vowel (excludi

Alexxandr [17]

The answer is 5/26 because there are 5 vowels and 26 letters in the alphabet

6 0

3 years ago

Michael drove his car for 150 minutes at a constant speed of 75 miles per hour and then for another 2 hours at a constant speed

swat32

Answer:

he traveled a total of 349.5 miles.

Step-by-step explanation:

*First we convert the 150 minutes to hours, that is :

$h=\frac{1.150}{60} \\h=2.5$

Now we determine the distance Michael traversed during those 2.5 hours:

$d_{1} =2.5.75 \\d_{1} =187.5\\$

He transversed 187.5 miles.

We also determine the distance he tranversed the two remaining hours:

$d_{2} =2.81 \\d_{2} =162$

He also traveled 162 miles

Finally we add both traversed distances:

$d_{t}=187.5+162 \\d_{t} =349.5\\$

So , he traveled a total of 349.5 miles.

PLEASE MARK ME AS BRAINLIEST

7 0

3 years ago