MATHEMATICS COLLEGE

Write an explicit equation for the arithmetic sequence
3,7,11,15,19

Answers

Answer 1
Answer:

Answer:

Arithmetic Sequence:  

d=4

Step-by-step explanation:

This is an arithmetic sequence since there is a common difference between each term. In this case, adding  4 o the previous term in the sequence gives the next term. In other words, aₙ=a₁+d(n-1)

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Which inequality represents the situation: The cost, c is more than $6

Answers

Answer: C > $6

Step-by-step explanation:

C is greater than (but not equal to) $6

C > $6

Write the answer and solution ?

Answers

Answer

4. E

use PEMDAS

5. 36+18=54  so C

plug in x

6. 15=5x

x=3 so C

11. B

break the absolute value into pos and neg components

12.D

is not equal to so open circle

2x=14

2x=8

so 4 and 7 with open circles

Step-by-step explanation:

Write the formula for a function d(x) that describes the distance between the point P and a point (x,y) on the line. You final answer should only involve the variable x. Then d(x) =

Answers

Answer:

d(x) = √[(x - 2)² + (3x - 1)²]

Step-by-step explanation:

The distance between two points with coordinates (x₁, y₁) and (x₂, y₂) is given as

d = √[(x₂ - x₁)² + (y₂ - y₁)²]

So, the distance between point (2,0) and a point (x,y)

d = √[(x - 2)² + (y - 0)²]

d = √[(x - 2)² + (y)²]

But the point (x,y) is on the line y = 3x - 1

We can substitute for y in the distance between points equation.

d(x) = √[(x - 2)² + (3x - 1)²]

QED!

There are 200 students in the grade. 45% of the student are taking a music class. How many students are taking music class.Please help me.

Answers

Answer:

Step-by-step explanation:

You need only take 45% of 200

Music = 45/100 * 200

Music = 9000/100

Music = 90

So of a grade of 200, there are 90 who take music.

Which list shows the numbers in order from least to greatest?
3ş, 37, 3.65

Answers

Answer:3,3.65,37

Step-by-step explanation:

Help D: An object is dropped from a small plane. As the object falls, its distance, d, above the ground after t seconds, is given by the formula d = –16t2 + 1,000. Which inequality can be used to find the interval of time taken by the object to reach the height greater than 300 feet above the ground?A.-16t^2+1000<300

B. -16t^2+1000<_ 300

C. -16t^2+1000>_300

D.-16t^2+1000>300

Answers

Answer:

D. -16t^2+1000>300 is the correct answer.

Step-by-step explanation:

It is given that Distance, d above ground  with time 't' is given by the formula:

d = -16t^2+1000

The negative sign with 16t^2 indicates that the distance is decreasing with square of time. i.e. value is getting subtracted from a value 1000.

For example, if t = 0, d = 1000 feet

If t = 2, d = -16* 4 + 1000 = 936 feet

We can clearly see that when 't' is increasing, the distance 'd' is decreasing.

And at a certain time, the object will be on ground when d = 0 feet.

Inequality for the distance greater than 300 feet i.e.

d > 300 feet

Hence, the inequality will be:

-16t^2+1000 >300  is the correct answer.
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