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grigory [225]
3 years ago
8

All whole numbers are rational numbers.

Mathematics
1 answer:
goldenfox [79]3 years ago
4 0

All whole numbers are rational numbers

This is always TRUE

A rational number is any number that can be expressed as the quotient or fraction. So any whole numbers can be expressed as fraction (example 3 = 3/1 or 10 = 10/1, etc...)

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Which is a solution to (x - 2)(x + 10) = 13 ?
stiv31 [10]
The answer is:
x=3,-11
4 0
3 years ago
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The fourth term of a sequence is 108. Each term after the first is 3 times the previous term. Write an explicit expression that
marishachu [46]

Answer:

f(n)=4(3)^{n-1}

Step-by-step explanation:

Let the first term be x, then the terms of the sequence are:

x,3x,9x,27x,81x,....

Since the fourth term is 108, we have

27x=108

\implies x=4

Hence the sequence becomes:

4,12,36,108,324,....

The explicit expression for a geometric expression is given by:

f(n)=ar^{n-1}

where a=4 and r=3

The required formula is:

f(n)=4(3)^{n-1}

8 0
2 years ago
Referring to triangle ABC, find the area of the triangle.
ExtremeBDS [4]

Answer: area of triangle = 13.4 ft  ( after rounding the answer to 3 significance figures)

Step-by-step explanation:

formula for the area of triangle

= S + S + S

= 4.34 + 3.78 + 5.27

= 13.9 ft

= 13.4 ( after rounding off to three significant figures )

           

5 0
3 years ago
A committee must be formed with 5 teachers and 4 students. If there are 6 teachers to choose from, and 15 students, how many dif
ZanzabumX [31]

Answer:

8190 ways

Step-by-step explanation:

Given

Teachers = 6

Students = 15

Selection

Students = 4

Teachers = 5

Required

Number of ways of selection

4 students can be selected from 15 students in:

Students= ^{15}C_4

Similarly.

5 teachers can be selected from 6 teachers in:

Teachers= ^{6}C_5

So, the required number of selection is:

Selection = ^{15}C_4 * ^6C_5

Apply combination formula:

Selection = \frac{15!}{(15-4)!4!} * \frac{6!}{(6-5)!5!}

Selection = \frac{15!}{11!4!} * \frac{6!}{1!5!}

Selection = \frac{15*14*13*12*11!}{11!*4*3*2*1} * \frac{6*5!}{1*5!}

Selection = \frac{15*14*13*12}{4*3*2*1} * \frac{6}{1}

Selection = \frac{32760}{24} * 6

Selection = 1365 * 6

Selection = 8190

8 0
2 years ago
Write an expression for the missing value in
Snowcat [4.5K]
C. a + 3

10 + 3 = 13
11 + 3 = 14
12 + 3 = 15
a + 3 = ?
5 0
3 years ago
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