Find the exact solution to the equation. 5^(6-2x) = 25

Answers

Answer 1

Answer:

x = 2

Step-by-step explanation:

Note that 25 = 5² , then

[tex]5^{(6-2x)}[/tex] = 5²

Since the bases on both sides are 5 then equate the exponents

6 - 2x = 2 ( subtract 6 from both sides )

- 2x = - 4 ( divide both sides by - 2 )

x = 2


Related Questions

Help please !!!!!!!!!!!!!!!!!!!!

Answers

Answer:

i would say its C but im not 100% sure

Step-by-step explanation:

can somebody please help fast?

Answers

Answer: C

Explanation: one Y goes to one X.

√2/3 -√1/6 how do you do this

Answers

Hopes this helps

I used this app called Cymath.

Answer:

Answer:

1/√6 or √6 /6

Step-by-step explanation:

√2/3 -√1/6 =√4/6 - √1/6

= (√4-√1)/√6

= (2-1)/√6

=1/√6 or √6 /6

Find the next 2 numbers in the sequence: 12,-1, -14, -27, -40.....

Answers

Answer:

12, -1, -14, -27, -40, -53, -66

Step-by-step explanation:

The pattern rule here is,

Start at 12, and minus 13 everytime.

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Have a good day :)

Step-by-step explanation:

Given :

12 , -1 , -14 ....

And we need to find the next two terms of the sequence. Firstly let's find out the common difference.

[tex]:\implies[/tex] CD = -12-1 = -13

Next two terms :-

[tex]:\implies[/tex] Next terms = -53 , -66

Hence the next terms are -53 & -66 .

I NEED HELP 17 POINTS PLUS BRAINLIST PLEASE

Answers

Answer:

E

Step-by-step explanation:

Hope this helped!

The answer is E because I did it and got it right

(NOOOOOOOOOOOOOO LIIIIIIIIIIIIIIINKS!!!!!!!!!)
Fill in the missing digits: _37_ minus 2465 = 59_7
I REPEAT, NO LINKS!

Answers

Answer:
8372-2465=5907

There is a 25% chance that Dane will make a three-point shot during a basketball game. A random-number generator generated 10 sets of random numbers from 1 to 4. The number 3 represents Dane's making a three-point shot. Look at the table.​

Answers

Answer:

there is no table.  Sorry!

Step-by-step explanation:

If m <1 = 115° and the m < 8 = 105°, what is the measure of angle 5?

Answers

Answer:

measure of angle 5 = 75 degrees

Step-by-step explanation:

given measure of angle 8 = 105 degrees,

angle 8 and angle 5 are in a linear pair so,

(the sum of angles in a linear pair is 180 degrees)

therefore, angle 8 + angle 5 = 180 degrees

therefore,. 105 + angle 5 = 180 degrees

angle 5 = 180 - 105

angle 5 = 75 degrees

© In a class full of men and women,4/9 of the class are women.
What is the ratio of men to women in its simplest form?

Answers

Answer:

4:9

Step-by-step explanation:

helppp please!!! with the equation, i have no clue

Answers

Answer:

look at the picture i have sent

How do I solve these problems?

Answers

Equation=8n+10
15th term=130
16th term=138
Below r my steps

area plz answrr me sjsksjvdosnsbdo

Answers

Given:

The diagram of a figure with sides 14 ft, 30 ft, 21 ft and 18 ft.

To find:

The area of the figure.

Solution:

From the given figure it is clear that if we cut a corner of a rectangle, then we get the same figure.

The sides of a the rectangle are 30 ft and 21 ft.

The height of the triangular part is (30 ft - 18 ft)  and the base is (21 ft - 14 ft).

So, the height of the triangular part is 12 ft and the base is 7 ft.

The area of the rectangle is:

[tex]A_1=length\times width[/tex]

[tex]A_1=30\times 21[/tex]

[tex]A_1=630[/tex]

The area of the triangular part is:

[tex]A_2=\dfrac{1}{2}\times base \times height[/tex]

[tex]A_2=\dfrac{1}{2}\times 12 \times 7[/tex]

[tex]A_2=6 \times 7[/tex]

[tex]A_2=42[/tex]

Now, the area of the given figure is:

[tex]A=A_1-A_2[/tex]

[tex]A=630-42[/tex]

[tex]A=588[/tex]

Therefore, the area of the given figure is 588 sq. ft.

PLEASE HELP ME!!!
How many blue pens were there to start with?

Answers

Answer:

180 blue   70 red

Step-by-step explanation:

b= blue      r = red

b+r = 250

r = (250-b)

If 40% is removed the rest is 60%

If the 70% is removed the rest is 30%

0.6b + 0.3(250-b)  = 129

0.6b + 75 - 0.3b = 129

  0.3b = 54

divide by 0.3

  b = 180

    250-180 =  70

   60% 0f 180 = 108

   30% of 70 = 21

   108 +21 = 129

   

helpppp pleaseee
NO LINK

Answers

Answer:

The graph increases

Step-by-step explanation:

Someone help please ASAP.

Answers

Quadratic I think try it

PLZZZ I WILL MARK BRAINLIEST !!!!

Answers

Answer:

Your answer is b

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

the population of a city is 10,000 people. A researcher wants to estimate how many people own a car and how many don't. The researcher surveys a random sample of 240 and records and these results. 180 people do own a car and 60 people don't. estimate the number of people that do own a car and don't, round to the nearest 500

Answers

Answer:

7380 people have cars and 2460 people dont so rounded to the nearest 500 i would say it is 1000

Step-by-step explanation:

tell me if im right please

help! no links please!

Answers

Answer: D

Step-by-step explanation:

Answer:

a) 70

b) 9

c) 9

d) 52

Step-by-step explanation:

Area of a rectangle is l*w  l=12 and w=6: 12*6=70

Area of triange A is 1/2*b*h, b=3 and h=6: 1/2*3*6=9

Area of triangle B is 1/2*b*h, b=3 and h=6: 1/2*3*6=9

Area of parallelogram is Area of rectangle- Area of triangle A - Area of triangle B: 70-9-9=52

Who are some good you tubers to watch?

Answers

Answer:

Cocomelon

Their videos are pretty good!

Please help if you like math!!

Answers

Answer:

a.EF is longest

b.40 degree

c.140 degree

d.148 degree

e.BC,AC,BA

Step-by-step explanation:

Evaluate the following expression when x=-5 and y=7: *enter numbers only

Answers

Answer

x+y

Step-by-step explanation:

In ΔUVW, the measure of ∠W=90°, VW = 32 feet, and WU = 78 feet. Find the measure of ∠V to the nearest degree.

Answers

Answer: [tex]67.68^{\circ}[/tex]

Step-by-step explanation:

Given

[tex]\angle W=90^{\circ}[/tex]

[tex]VW=32\ ft[/tex]

[tex]WU=78\ ft[/tex]

from the figure, we can write

[tex]\Rightarrow \tan v=\dfrac{UW}{VW}\\\\\Rightarrow \tan v=\dfrac{78}{32}\\\\\Rightarrow \tan v=2.437\\\Rightarrow v=\tan^-1(2.437)\\\Rightarrow v=67.68^{\circ}[/tex]

Please help :') Estimate 15 divided by 2.57

Answers

Answer:

5.83

Step-by-step explanation:

15 ÷ 2.57 = 5.8

mark as brainllest

the answer is 5.83

hope it's help

How much is 3 tenths if 40 secret objects​

Answers

Answer:

12

Step-by-step explanation:

=40*3/10

=120/10

=12

3) Six teams are playing in a baseball tournament. In how many ways can the teams be crowned champion and
runner-up?

Answers

Answer:

15ways

Step-by-step explanation:

This question bothers combination

Combination has to do with selection

Given

Total number of teams  = 6

champion and runner up = 2

number of ways is expressed as 6C2

6C2 = 6!/(6-2)!2!

6C2 = 6!/4!2!

6C2 = 6*5*4!/4!*2

6c2 = 30/2

6C2 = 15

Hence the number of ways they can be selected is 15ways

A cylinder has a height of 1.2 cm and the following base. 5 mm



What is the volume of the cylinder in cubic millimeters?

94.2 mm 3
376.8 mm 3
942 mm 3
37.68 mm 3

Answers

Step-by-step explanation:

this picture will help

you

Answer:

942 mm 3

Step-by-step explanation:

Since 1.2 cm isn't mm we have to convert that, which will be 12. now we do the formula, which is

V=3.14 x r2 x h

and when we plug in the numbers,

V=3.14 x 25 (5x5) x 12

which is 942

Hope this helps!

What is the distance between (3,8) and (10,8)

Answers

Answer:

7

because 10.8 - 3.8 =7

therefore the answer is 7

combine like terms to write an equivalent expression for

2( 4y^2 + 6x - 2y^2 + 12x.)

Answers

8y^2 + 12x - 4y^2 + 24x
= 4y^2 + 36x

Taylor collected 4 white shells and 9 grey shells. If she put all the shells in a bucket and randomly pulled one out, what is the probability that the shell would be white?

Answers

Answer:

4/13

Step-by-step explanation:

Add the number of eggs which is 13 so it shows that 13 eggs are in the bag and there are 4 white eggs so the probability of taking a white egg is 4/13


What is the probability that Sarah will not select the queen of hearts?

Answers

Answer:

?

Step-by-step explanation:

Answer:

1/52

Step-by-step explanation:

There is only one queen of hearts in a deck of 52 so there for the prbability is 1/52.

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