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earnstyle [38]
3 years ago
11

Find the 52nd term of the following arithmetic sequence. 17, 22, 27, 32, ...

Mathematics
1 answer:
rewona [7]3 years ago
4 0

Answer:

17; 22; 27; 32

the terms increase by 5 each time

17 + 5 = 22 (the second term)

17 + 5 * 2 = 27 (third term)

So to get to the 52nd term, we have to add 5* 51 = 255 to 17

17 + 255 = 272

Step-by-step explanation:

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Is the following statement a good definition? Why? An integer is divisible by 100 if and only if its last two digits are zeros.
kifflom [539]
The given statement is:
An integer is divisible by 100 if and only if its last two digits are zeros

The two conditional statements that can be made are:

1) If an integer is divisible by 100 its last two digits are zeros.

This is a true statement. If a number is divisible by 100, it means 100 must be a factor of that number. When 100 will be multiplied by the remaining factors, the number will have last two digits zeros. 

2) If the last two digits of an integer are zeros, it is divisible by 100.

This is also true. If last two digits are zeros, this means 100 is a factor of the integer. So the number will be divisible by 100.

Therefore, the two conditional statements that are formed are both true.

So, the option A is the correct answer.
Yes, it is. When the definition is separated into two conditional statements, both of the statements are true
6 0
3 years ago
Dante wants to place a border around the flowers in his yard. The area he wants bordered is 24 square feet. What is the least am
zloy xaker [14]
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5 0
3 years ago
The marketing club at school is opening a student store. They randomly survey 50 students about how much money they spend on lun
Luden [163]

Answer:

The expected value for a student to spend on lunch each day = $5.18

Step-by-step explanation:

Given the data:

Number of students______$ spent

2 students______________$10

1 student________________$8

12 students______________$6

23 students______________$5

8 students_______________$4

4 students_______________$3

Sample size, n = 50.

Let's first find the value on each amount spent with the formula:

\frac{num. of students}{sample size} * dollar spent

Therefore,

For $10:

\frac{2}{50} * 10 = 0.4

For $8:

\frac{1}{50} * 8 = 0.16 l

For $6:

\frac{12}{50} * 6 = 1.44

For $5:

\frac{23}{50} * 5 = 2.3

For $4:

\frac{8}{50} * 4 = 0.64

For $3:

\frac{4}{50} * 3 = 0.24

To find the expected value a student spends on lunch each day, let's add all the values together.

Expected value =

$0.4 + $0.16 + 1.44 +$2.3 + $0.64 + $0.24

= $5.18

Therefore, the expected value for a student to spend on lunch each day is $5.18

7 0
2 years ago
plz help 20 pointssss!!!!!! The length of one edge of a cube is 3 units. What is the volume of this cube in units? A) 6 cubic un
marshall27 [118]

Answer:

See answer below

Step-by-step explanation:

Hi there,

The volume of a cube is the edge length cubed:

V = a³

The edge length given is 3 u, so plug into the formula:

V = (3 \ u)³ = 27 \ u³

thanks,

4 0
3 years ago
Read 2 more answers
Choose all equivalent expression(s).
ElenaW [278]

<u>Given</u>:

The given expression is a b^{-3 x}

We need to determine the equivalent expression.

<u>Equivalent expression:</u>

Let us determine the equivalent expression.

The equivalent expression can be determined by simplifying the given expression.

Hence, let us apply the exponent rule to simplify the given expression.

Thus, applying the exponent rule, a^{-b}=\frac{1}{a^{b}}, we get;

a(\frac{1}{b^{3x}})

Rewriting the expression, we get;

a(\frac{1^{3x}}{b^{3x}})

Simplifying, we get;

a\left(\frac{1}{b}\right)^{3 x}

Thus, the equivalent expression is a\left(\frac{1}{b}\right)^{3 x}

Hence, Option C is the correct answer.

7 0
3 years ago
Read 2 more answers
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