25^(2x+3) = 125^(2x+8)
please help and show work!!!!!!!

Answers

Answer 1

Answer:

[tex]x = -9[/tex]

Step-by-step explanation:

Given equation:

[tex]25^{2x+3} = 125^{2x+8}[/tex]

Convert 25 and 125 to base 5:

[tex]\implies (5^2)^{2x+3} = (5^3)^{2x+8}[/tex]

Apply exponent rule  [tex](a^b)^c=a^{bc}[/tex]

[tex]\implies 5^{2(2x+3)} = 5^{3(2x+8)}[/tex]

If [tex]a^{f(x)}=a^{g(x)}[/tex] then [tex]f(x)=g(x)[/tex]:

[tex]\implies 2(2x+3) = 3(2x+8)[/tex]

Expand:

[tex]\implies 4x+6 = 6x+24[/tex]

Subtract 6x from both sides:

[tex]\implies -2x+6 = 24[/tex]

Subtract 6 from both sides:

[tex]\implies -2x=18[/tex]

Divide both sides by -2:

[tex]\implies x=-9[/tex]

Answer 2

Let's solve up

[tex]\\ \rm\rightarrowtail 25^{2x+3}=125^{2x+8}[/tex]

[tex]\\ \rm\rightarrowtail 5^{2(2x+3)}=5^{3(2x+8)}[/tex]

[tex]\\ \rm\rightarrowtail 5^{4x+6}=5^{6x+24}[/tex]

[tex]\\ \rm\rightarrowtail 4x+6=6x+24[/tex]

[tex]\\ \rm\rightarrowtail -18=2x[/tex]

[tex]\\ \rm\rightarrowtail x=-9[/tex]


Related Questions

PLEASE HELP MEEEEE!!!
20 POINTS + BRAINLYEST!!!!
(no links please)

Two functions, function A and function B, are shown below:


Function A


x y

7 21

8 24

9 27


Function B

the picture.



Which statement best compares the rate of change of the two functions? (1 point)


The rate of change of both functions is 2.

The rate of change of both functions is 3.

The rate of change of function A is greater than the rate of change of function B.

The rate of change of function B is greater than the rate of change of function A.

Answers

Answer:

The rate of change of function A is greater than the rate of change of function B

Step-by-step explanation:

[tex]\sf rate \ of \ change=\dfrac{change \ in \ y}{change \ in \ x}[/tex]

Function A

For every increase of 1 unit in x-values, the y-values increase by 3 units.

[tex]\sf rate \ of \ change=\dfrac{3}{1}=3[/tex]

Function B

For every increase of 1 unit in x-values, the y-values increase by 2 units.

[tex]\sf rate \ of \ change=\dfrac{2}{1}=2[/tex]

As 3 > 2, the rate of change of function A is greater than the rate of change of function B

In this triangle, a = 10 cm, b = 24 cm, and c = 26 cm.

What is the area of this triangle?


312 cm²

240 cm²

130 cm²

120 cm²

Answers

120 cm^3

The equation for a triangle: 1/2bh.

1/2(a)(b)

1/2(10)(24)

1/2(240)

120 cm^3

Two boats leave a marina at the same time. The first boat travels 6 knots at a bearing of N39, and the second boat travels 4 knots at a bearing of S87°W. 2 degrees * E a. How far apart are the boats at the end of 2 hr? b. What is the bearing from the first boat to the second boat at that time?

Answers

For the first boat, 6 knots at a bearing of N39, and for the second boat  4 knots at a bearing of S87°W.  the distance of boats at the end of 2 hr and the bearing of 1st to 2nd both is mathematically given as

V'=22.93KmB=132°

What is the distance b/w the boats at the end of 2 hr and the bearing of 1st to 2nd boat?

Generally,  the Relative speed  is mathematically given as

V=\sqrt{4^2+6^2+2(4)(6)cos(48)}

V=\sqrt{52+48(0.669)}

X=9.17Knots

Hence, distance b/w the boats

V'=9.17Knots*2

V'=18.34

V'=22.93Km

In conclusion, the bearing of 1st to 2nd boa ist

B=39+90+(90-87)

B=132°

Read more about Speed

https://brainly.com/question/4931057

Write the following as an inequality
X is greater than -9 and less than 9
use x only once in your inequality.

Answers

Answer:

-9 < x < 9

Step-by-step explanation: "<" is the symbol for "less than". -9 is less than x, or x is greater than -9. x is less than 9.

please please someone help

i put a picture ​

Answers

Check the picture below.

A van can travel 18 miles on each gallon of gasoline. At that rate, how many miles can the van travel on 15 gallons of gasoline?
33 miles
83 miles
120 miles
270 miles

Answers

Answer:

270 Miles

Step-by-step explanation:

18 miles per gallon

15 gallons

Basically count 18, 15 times

18*15=270

The van can travel 270 miles

Pamela is 6 years younger than Jiri. The sum of their ages is 78 . What is Jiri's age?

Answers

Let’s make

P = Pamela
J = Jiri

J - 6 = P

P + J = 78

We can replace P with J - 6 because they are the same thing.

J - 6 + J = 78

2J - 6 = 78

2J = 84

J = 42

Jiri is 42 years old.



-3.28+4.4-9.7

fdsafdsa

Answers

Answer: -8.58

Explanation

we add -3.28+-9.7

-(12.98 - 4.4) = -8.58

The distance between the two points pictured is d = use the distance formula to find n. d = startroot (x 2 minus x 1) squared (y 2 minus y 1) squared endroot n =

Answers

The distance between the two points pictured will be [tex]\sqrt{61}[/tex].

What is the distance between the two points?

The length of the line segment connecting two places is the distance between them.

The distance between two places is always positive, and equal-length segments are referred to as congruent segments.

The given coordinate in the problem is;

(x₁,y₁)= (-3,-2)

(x₂,y₂)=(2,4)

The distance between the two points is found as;

[tex]\rm d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\ \rm d= \sqrt{(2-(-3))^2+(4-(-2)^)^2} \\\\ \rm d=\sqrt{5^2+6^2} \\\\ \rm d=\sqrt{61}[/tex]

Hence the distance between the two points pictured will be [tex]\sqrt{61}[/tex].

To learn more about the distance between the two points refer to;

https://brainly.com/question/16410393

Answer:

n=61

Step-by-step explanation:

Help? im confused plss!
Find the area of the regular polygon with the given radius or apothem

Answers

Answer:

  50 cm²

Step-by-step explanation:

Given that the regular polygon is a square, there are multiple ways you can jump directly to the answer. Perhaps the simplest is to use the formula for the area of a rhombus:

  A = 1/2(d1)(d2)

where d1 and d2 are the lengths of the diagonals. Here, we see that half the diagonal is 5 cm, so the area is ...

  A = (1/2)(10 cm)(10 cm) = 50 cm² . . . . area of the polygon

__

Alternate solution

If you want to use the radius and the number of sides in a formula, you can consider the area of each triangle formed by radii and a side. That triangle has area ...

  A = 1/2r²sin(α)

where r is the radius and α is the central angle. For an n-sided polygon, the area is the sum of n of these triangles, and the central angle is 360°/n. Then the polygon area is ...

  A = n/2·r²·sin(360°/n)

For n = 4 and r = 5 cm, the area is ...

  A = (4/2)(5 cm)²(sin(360°/4)) = 2(5 cm)²(1) = 50 cm² . . . . area of square

_____

Additional comment

The formula is somewhat different if you start with the length of the apothem. One way to find the area is using the above formula and the relation between the radius and apothem:

  r = a·sec(180°/n)

Another formula uses the apothem directly:

  A = n·a²·tan(180°/n)

If p
=
1
2
, q
=

1
3
and r
=
1
5
, evaluate the following expression:
30
p
q
r
(
p
+
q
+
r
)
(
p
+
q
)
(
p
+
r
)

Answers

Answer:

26535600

Step-by-step explanation:

This took so much work to get into a format I could read hahaha!

I hope it helps!

30 x 12 x -13 x 15(12+-13+15)(12+-13)(12+15) = 26535600

please help me! I will make whoever answers brainiest! please help it's for a test!

Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
Match each equation to the value of a that makes the equation true.

1
0
3
4
2

6(2a − a + 1) = 24

4 + 3(a + 2) = 16

3a − 2a − 4 = 0

2a + 3(a + 1) = 8

Answers

Answer:

6(2a-a+1)=24 =(3)

4+3(a+2)=16 =(2)

3a-2a-4=0 =(4)

2a+3(a+1)=8 =(1)

Step-by-step explanation:

6(2a-a+1) =24

6(2a-a+1) =2412a-6a+6 =24

6(2a-a+1) =2412a-6a+6 =246a =24-6

6(2a-a+1) =2412a-6a+6 =246a =24-66a= 18

6a/6= 18/6

a = 3

4+3(a+2)=16

4+3a+6=16

3a+10=16

3a=16-10

3a=6

3a/3=6/3

a=2

3a-2a-4=0

a-4=0

a=0+4

a=4

2a+3(a+1)=8

2a+3a+3=8

5a+3=8

5a=8-3

5a=5

5a/5=5/5

a=1

Find yolanda’s finance charge in november using the previous balance method, the adjusted balance method, and the daily balance method. among those three possible finance charges, what is the value of the one which is neither lowest nor highest? a. $12.53 b. $11.59 c. $12.05 d. $10.91

Answers

Answer:

i believe its B

Step-by-step explanation:

Answer:

The Answer is B. $11.59

Step-by-step explanation:

Edge 2022

1/2(x-1/6)+2/3=5/6+1/3*(1/2-3x)

Answers

Answer:

X= 5/18

Step-by-step explanation:

Point D has coordinates (8,3). Point G has coordinates (-4,3). What is the length of segment DG?

6 units
12 units
14 units
4 units

Answers

Answer: 12 units

Step-by-step explanation:

If you graph them on a graph you count the units between them and that is your anwser.

Answer:

12 units

Step-by-step explanation:

calculate DG using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2 -y_{1} } )^2[/tex]

with (x₁, y₁ ) = D (8, 3 ) and (x₂, y₂ ) = G (- 4, 3 )

DG = [tex]\sqrt{(-4-8)^2+(3-3))^2}[/tex]

     = [tex]\sqrt{(-12)^2+0^2}[/tex]

     = [tex]\sqrt{144+0}[/tex]

    = [tex]\sqrt{144}[/tex]

    = 12

solve pls brainliest

Answers

Answers:
1. No
2. No
3. No
4. Yes
5. Yes

Answer:

No, no, no, yes, yes.

Step-by-step explanation:

A integer is a whole number, 1, 2, 3, etc.

Marcus works as a salesman at a car dealership. He is paid a base salary of $1,137.89 each month, and he receives a commission of $212.69 for each vehicle he sells. If last month Marcus earned $9,220.11, how many cars did he sell last month?

Answers

Answer:

He sold 38 cars

Step-by-step explanation:

first we subtract his base salary from how much he made, 9,220.11 - 1,137.80 = 8,082.22

then we divide that by the commission he gets from selling 1 car which is 212.29, the equation looks like: 8,082.22 / 212.69 and that equals 38 which means he sold 38 cars.


Please help !!!! I’m desperate people.

Answers

Answer:

I believe the answers are a and e.

Step-by-step explanation:

Let me know if you want an explanation.

Hope this helps!!!

Find the area of the shaded figure. To do so, subtract the area of the smaller
square from the area of the larger square,
Square
(x²-3)
x meters
meters
The area of the shaded region is
(Simplify your answer. Do not factor)

Answers

Answer:

x⁴ - 8x² + 9

Step-by-step explanation:

The Area of the smallest square is A1 = x . x = x²

The Area of the second square is A2 = ( x² - 3 )(x² - 3)

A2 = x⁴ - 3x² - 3x² + 9

A2 = x⁴ - 6x² + 9

The Area of the Shaded shape is A2 - A1

x⁴ - 6x² + 9 - x²

x⁴ - 8x² + 9

Please Help! Will Give Brainlest!

Answers

Answer:

[tex] \frac{ - \sqrt{3} }{2} [/tex]

Step-by-step explanation:

First, we find the coterminal angle of

[tex] \frac{ - 8\pi}{3} [/tex]

to do that, first, convert this into degrees.

[tex] \frac{ - 8\pi}{3} \times \frac{180}{\pi} = - 480[/tex]

Know, continously add 360 until we get our first positve number,

[tex] - 480 + 360 = - 120[/tex]

[tex] - 120 + 360 = 240[/tex]

So our coterminal angle is 240.

We need to know sin (240), the y value of sin (240) will gives us our answer.

That answer is

[tex] \frac{ - \sqrt{3} }{2} [/tex]

What is the slope of the line that has equation. y -4.33=1.67(x+7.95)

Answers

The slope of the line is 1.

What are the coordinates of the vertices of the image?
Rotate shape A 90° clockwise with centre of rotation (0,0).
Will mark brainliest

Answers

Step-by-step explanation:

(2,4)===(4,-2)

(4,3)===(3,-4)

(2,3)===(3,-2)

Lacie bought a $20 shirt that was marked down 30%. what did she pay after tax of 6% was added to the price of the shirt?

Answers

Answer:

14.84

Step-by-step explanation:

20*(6%+1)*(1-30%)

20*(0.06+1)*1-0.3)

20*1.06*0.7

14.84

. In the diagram of collinear points, if AB = 42, AC = 65, then BC = _

Answers

Answer:

Bc 23

Step-by-step explanation:

because you muply 42 to 65 and u will get that the same answer

Find in the inverse algebraically y=2(x-3)3+1

Answers

the answer to this would be y=6x-17

Answer:

Step-by-step explanation:

Y=(X-3) 3+1

1. Flip the way the equation is facing

1+3 (3-x)=Y

2. Add or Subtract

4 (3-x)=Y

3. Do the parentheses

4(-3x)=Y

4. Solve for X ( Undo addition or Subtraction)

(4-4)=0

What ever you do to one side you have to do to the other!

Y-4

Your New Equation Looks Like

-3x= -4 + Y

5. Undo Multiplication

-3x/3= x

What ever you do to one side you have to do to the other!

-4/3 y/3

6. Divide Y

y/3= 3

7. New equation

X= -4/3 + 3

8. Plug in X to the Original Equation

Y=2(-4/3+3) -3 +(3+1)

9. Solve accordingly

Apples cost $1.10 per pound. Darius bought x pounds of apples for a total cost of $2.75.

Answers

X= 2.5 2.75 divided by 1.10 =2.5

Which ratio below is equivalent to the ratio 7 : 350?

Answers

1:50 because (7/350)/7 = 1:50

Answer:

7/350 7 to 350

Step-by-step explanation:

there are 3 ways to write a ratio

:

to

/

: A group of 28 people bought tickets to a museum. The total cost for the tickets was $315. What was the cost of each ticket?​

Answers

315 divided by 28 would be 11.25 so the cost of each ticket is $11.25

Answer:

he correct answer is D. 12 adult tickets, 4 child ticket

Step-by-step explanation:

pls help me. Will give 30 points and brainliest if you tell me how. I need 2 and 4. PLS HURRY

Answers

2. 2l has to be less than or equal to 108-40

This is because the garden is a rectangle, meaning that the 2 widths and 2 heights will be the exact same.

So, if the width is 20 and there are 2 “width” sides of a rectangle, the total perimeter - 40 will give you length of the 2 other sides, combined. This is why 2x the length has to be less or equal to 108-40.


4. 0.25

Mika does 3 things everyday for 5 days, which takes 7.5 hours.

So, 7.5 / 5 = time spent doing 3 things everyday

Mika spends 1.5 hours everyday cleaning, tuning, and playing.

BUT,

The question is asking how long she spends JUST cleaning and tuning.

It also tells you that he practices for 1.25 hours everyday.

So, if he takes 1.5 hours to do all 3 things and practices for 1.25,

1.5 - 1.25 = 0.25

She does spends 0.25 hours everyday cleaning and tuning.

what is the correct answer to this?

Answers

Answer:

1.4 meters

Step-by-step explanation:

Given,

Volume of rectangular prism ( V ) = 18.144 cubic meters

Width ( w ) = 2.7 m

Length ( l ) = 4.8 m

To find : d

Here, d is Height ( h ).

Formula : -

V = whl

18.144 = 2.7 x 4.8 x d

18.144 = 12.96 x d

d = 18.144 / 12.96

d = 1.4 meters

[tex] \huge\fbox\green{ANSWER} [/tex]

[tex]v = l \times w \times h[/tex]

[tex]18.144 {m}^{3} = 4.8m \times 2.7m \times d[/tex]

[tex]18.144 {m}^{3} = 12.96 \times d[/tex]

[tex] \frac{18.144 {m}^{3} }{12.96 {m}^{2} } = \frac{12.96 {m}^{2} }{12.96 {m}^{2} } \times d[/tex]

[tex]1.4m = d[/tex]

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