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olga55 [171]
3 years ago
5

0.2^x= 25 Solve to find x Show steps

Mathematics
2 answers:
liq [111]3 years ago
8 0
0.2=\frac{2}{10}=\frac{1}{5}=5^{-1}\ \ \ |used\ a^{-1}=\frac{1}{a}\ for\ a\neq0\\\\25=5^2\\\\therefore\\\\0.2^x=25\to(5^{-1})^x=5^2\ \ \ |use\ (a^n)^m=a^{n\cdot m}\\\\5^{-1(x)}=5^2\\\\5^{-x}=5^2\iff-x=2\to\boxed{x=-2}\\\\check:\\\\0.2^x=0.2^{-2}=\left(\frac{1}{5}\right)^{-2}=5^2=25\ O.K.\ :)
sweet [91]3 years ago
8 0

You said                                                    <u>0.2^x = 25</u>

Take the logarithm of each side:     x log(0.2) = log(25)

Divide each side by  log(0.2):         x = log(25) / log(0.2)   

                                                              =  1.39794 / -0.69897  =<em>  -2  </em>

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Suppose we want to choose 5 letters, without replacement, from 9 distinct letters. (If necessary, consult a list of formulas.) (
lara [203]

Answer:

A.This is the number of combinations of 6 from 15

= 15C6

=  15! / (15-6)! 6!

= 5,005 ways.

B.  This is the number of permutaions of 6 from 15:

= 15! / (15-6)!

= 3,603,600 ways.

Step-by-step explanation:

This was someone else's work not mine sorry here's creditssss :))

brainly.com/question/15145413

5 0
3 years ago
The sum of two consecutive intergers is no more than 209 . Whatbis the large of two integers
soldi70 [24.7K]

104 and 105 are consecutive numbers that add up to 209. Maybe this answers your question? Let me know otherwise.

8 0
3 years ago
Distribute 7 x (2+2x)
True [87]
28 x because parenthesis first and you can’t do 2 + 2x so 7x times 2 is 14x and 7 times 2x is 14x
4 0
3 years ago
Jack and Julio each improved their yards by planting daylilies and geraniums. They bought their supplies from the same store.
o-na [289]

Cost of one daylily is $2 and cost of one geranium is $4.

Step-by-step explanation:

Let,

Cost of one daylily = x

Cost of one geranium = y

According to given statement;

x+5y=22    Eqn 1

13x+y=30    Eqn 2

From Eqn 1;

x=22 - 5y

Putting this value of x in Eqn 2;

13(22-5y)+y=30\\286-65y+y=30\\-64y=30-286\\-64y=-256

Dividing both sides by -64

\frac{-64y}{-64}=\frac{-256}{-64}\\y=4

Putting y=4 in Eqn 1

x+5(4)=22\\x+20=22\\x=22-20\\x=2

Cost of one daylily is $2 and cost of one geranium is $4.

Keywords: linear equation, substitution method

Learn more about substitution method at:

  • brainly.com/question/605571
  • brainly.com/question/5873564

#LearnwithBrainly

4 0
2 years ago
Select the correct answer which function is increasing at the highest rate?
saw5 [17]

Answer:

D.since the gragh is linear

4 0
3 years ago
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