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Romashka [77]
3 years ago
11

Is 0.02 irrational or rational​

Mathematics
1 answer:
barxatty [35]3 years ago
8 0

Step-by-step explanation:

0.02 is rational as it can be expressed as a finite decimal.

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What is the value of x for log6(5x) + log6(2)=5
Igoryamba

\bf \begin{array}{llll} \textit{logarithm of factors} \\\\ \log_a(xy)\implies \log_a(x)+\log_a(y) \end{array}~\hfill \begin{array}{llll} \textit{Logarithm Cancellation Rules} \\\\ log_a a^x = x\qquad \qquad \stackrel{\textit{we'll use this one}}{a^{log_a x}=x} \end{array} \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \log_6(5x)+\log_6(2)=5\implies \log_6(5x\cdot 2)=5\implies \log_6(10x)=5 \\\\\\ 6^{ \log_6(10x)}=6^5\implies 10x=6^5\implies x = \cfrac{6^5}{10}\implies x = \cfrac{3888}{5}\implies x = 777.6

8 0
3 years ago
Peter is making an "X marks the spot" flag for a treasure hunt. The flag is made of a square white flag with sides of 12 centime
zheka24 [161]

Answer:

34 cm

Step-by-step explanation:

The actual question is How many inches of ribbon Peter will need to make the "X".

Using the Pythagorean theorem, the length of the diagonal of a square with 12 cm sides is:

d^2=12^2+12^2\\d=\sqrt{288}\\ d=16.97\ cm

Since the "X" requires two diagonals, the length of ribbon required is:

L=2*16.97\\L=34\ cm

The length required, rounded to the nearest centimeter, is 34 cm.

6 0
3 years ago
a group of 25 sixth graders, 40% of them said they had never visited another state. How many students said they had never visite
diamong [38]
Correct Answer: 10 students have never visited another state
40/100 × 25 =
40 is out of 100 because percentages always is represented by 100 (cent)

cross out the zero's equally top and bottom 
so it would become: 4/100 × 25 = 4 ×25 = 100
 then add the denominator
100/10 is our final resolution 

cross out the zeros evenly and answer will give you 10.
6 0
3 years ago
Read 2 more answers
300 juniors at Central High School took the ACT last year. The scores were distributed normally with a mean of 24 and a standard
Usimov [2.4K]

Answer:

150 students

Step-by-step explanation:

According to statement we have the following information

number of juniors=n=300

mean score=24

standard deviation score=4

The number of students that score above 24 is determined by

Number of students score above 24=number of juniors* P(student score above 24)

P(student score above 24)=P(x>24)=P(x-mean/sd>24-24/4)=P(z>0)=0.5.

Students score above 24=np=300*0.5=150

Hence there are 150 students scored above 24.

4 0
3 years ago
How do i solve for x and what is the answer
kiruha [24]

Answer:

(4+8)(4) = (x) 3

Step-by-step explanation:

The picture shows two secants intersecting at a point outside the circle.  A beautiful pattern for this is:  along each secant, the product (multiply) the <em>entire</em> secant by the <em>outside</em> part is the same.

(entire secant)(outside part) = (entire secant)(ouside part)

(4+8)(4) = (x)(3)

4 0
3 years ago
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