5^(9x)=25^(4x+2) SHOW STEPSSSS

Answers

Answer 1

Answer:

x = 4

Step-by-step explanation:

[tex]5^{9x} =25^{4x+2}[/tex]

First you need to get a common base as your number.

[tex]5^{9x} =5^{2(4x+2)}[/tex]

The second number changed because 5 squared is 25. Changing it to this form gives us the same base number of 5. Now we use the distributive property in the exponent.

[tex]5^{9x} =5^{8x+4}[/tex]

Now we can use this statement:

[tex]A^{m} =A^{n}[/tex] if [tex]m=n[/tex]

Using this we solve:

9x = 8x+4

-8x  -8x

x = 4

Hope it helps!


Related Questions

Please help! Giving brainlist!

Answers


The slope is 5/2


The slope formula is:

m = y2 - y1 / x2 - x1


Our points are:

(-1, 4) and (1, 9)


Just insert them into the formula and simplify to get your answer:


m = 9 - 4 / 1 + 1

m = 5/2

One day Maria spends 6/20 of the day asleep. Calculate in hours and minutes the amount of time she spends asleep.

Answers

Answer:

7 hours and 12 minutes

Step-by-step explanation:

there are 24 hours in a day, so multiply 6/20 by 24 to find the number of hours:

6*24/20 = 36/5 = 7  1/5 hours

we now know maria sleeps for 7 whole hours

next, there are 60 minutes in an hour, so multiply 1/5 by 60 to get 12 minutes

The base of a triangular prism is a right triangle with a base of 6 inches, a height of 8 inches, and a third side length of 10 inches. the height of the prism is 14 inches. find the surface area of the prism.

Answers

The surface area of the rectangular prism with the dimensions that are stated is: 384 in.²

What is the Surface Area of a Triangular Prism?

Surface area = perimeter of base × height of prism + 2(base area)

= (s1 + s2 + s3)L + 2(1/2bh)

Given the following:

side of base (s1) = 6 in.side of base (s2) = 8 in.side of base (s3) = 10 in.Length of prism (L) = 14 in.Triangular base length (b) = 6 in.h = 8 in.

Surface area = (6 + 8 + 10)14 + 2(1/2 × 6 × 8)

Surface area = 384 in.²

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Evaluate 5(x - 1) - 2 when x = 3

Answers

Answer:

8

Step-by-step explanation:

Given algebraic expression:

5(x - 1) - 2

To:

Evaluate this expression using x = 3

Solution:

5(x - 1) - 2

Evaluate by plugging x = 3 to this expression:

5(3-1)-2

Simplify using PEMDAS.

5(2)-210-28

We can conclude:

By evaluating x = 3 to the given expression,the answer will be 8.

help please and I'll mark you brainiest.​

Answers

The probability will include:

P(A and 1) = 1/24P(C and 2) = 1/12.P(B and 3) = 1/12.P(A and 4) = 1/12

How to calculate the probability?

The probability of P(A and 1) will be:

= 1/4 × 1/6

= 1/24

The probability of P(C and 2) will be:

= 1/4 × 2/6

= 1/12

The probability of P(B and 3) will be:

= 2/4 × 1/6

= 1/12

The probability of P(A and 4) will be:

= 1/4 × 2/6

= 1/12

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What is the x and y intercept of y=1/3x-2, y=12-6x, and y=3x-7? Please show work!

Answers

Answer:

y = 1/3x - 2:

y - intercept: - 2x - intercept: 6

y = 12 - 6x:

y - intercept: 12x - intercept: 2

y = 3x - 7:

y - intercept: -7x - intercept: 7/3

Step-by-step explanation:

Hello!

Slope Intercept Form

The slope-intercept form of a line is [tex]y = mx + b[/tex]

y = output, ordinatem = slopex = input, abscissab = y-intercept

y = 1/3x - 2

The y-intercept is the "b" value of the line, given as -2.

To find the x-intercept, we simply replace the y-value with 0:

0 = 1/3x - 22 = 1/3x6 = x

y - intercept: - 2

x - intercept: 6

____________________________________________________

y = 12 - 6x

You can rearrange the equation, y = -6x + 12, to find the y-intercept: 12.

Solving for the x-intercept (remember, replace y with 0):

0 = -6x + 12-12 = -6x2 = x

y - intercept: 12

x - intercept: 2

____________________________________________________

y = 3x - 7

Simply take the "b" value, -7, to find the y-intercept of -7.

Solve for the x-intercept:

0 = 3x - 77 = 3xx = 7/3

y - intercept: -7

x - intercept: 7/3

Additional Note:

You can also solve for the y-intercept by replacing x with 0. This method can be used for any interests, just plug in the opposite variable from what you are solving for with 0.

The proof is that the x-intercept is the value when the y = 0, the x-axis. You can plug in 0 for y to solve for x. Similarly, when solving for the y-intercept, you plug 0 for x as the y-axis is at x = 0.

A lake near the Arctic Circle is covered by a thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a rate of 0.2 meters per week. After 7 weeks, the sheet is only 2.4 meters thick.
Let y represent the ice sheet's thickness (in meters) after x weeks.

Complete the equation for the relationship between the thickness and number of weeks.
y=_____

Answers

The equation for the relationship between the thickness and number of weeks is y = 3.8 - 0.2x

How to write equation?

Ice lost per week = 0.2 metersIce remaining after 7 weeks = 2.4 metersNumber of weeks = xRelationship between the thickness and number of weeks = y

Ice lost at 7 weeks = 7(0.2) = 1.4 meters

Total thickness of ice before loss = Ice remaining after 7 weeks + Ice lost at 7 weeks

= 2.4 + 1.4

= 3.8 meters

The equation:

y = Total thickness of ice before loss - (Ice lost per week × Number of weeks)

= 3.8 - (0.2 × x)

y = 3.8 - 0.2x

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Which list correctly orders A, B, and C from least to greatest when A=171, B = -6, and C=1-51?
A, B, C
B, C, A
C, B, A
A, C, B

Answers

The 3rd option is correct

14 friends go out for dinner and the bill for food and drink comes to £130. The friends decided to add a 5% tip on the top of this total. If they divide this expense equally between them, How much does each friend pay?

Answers

The amount each friend does pay is £9.75

How to calculate the pay of each friend using fractions and arithmetic operations?

We are going to find 5% of the total amount paid and divide it by the numbers of all the friends to determine the amount paid by each one of them.

From the given information:

The 5% of 130 = £6.5Total amount paid = £130 + £6.5 = £136.5

Therefore, the cost of each friend is = [tex]\dfrac{136.5}{14}[/tex]

The cost of each friend = £9.75


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A flower pot hangs from a brace. △MNQ and △MNP form the brace what is the value of x?

Answers

The value of x from the given triangle formed by the pot hanging from a brace is; x = 50°

How to find the missing angle in a triangle?

We are given from the diagram that;

∠NMP = 110° and ∠NPM = 30°

Sum of angles in a triangle is 180°.

Thus;

∠MNP = 180 - (110 + 30)

∠MNP = 40°

Thus;

x = 90 - 40

x = 50°

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I need help
30 POINTS!!!!

Answers

Answer:

A. Upward

B. (-2, -1)

C. X= -3, -1 ||| Y= 3

D. X=-2

Step-by-step explanation:

Yuson must complete 15 hours of community sevice. She does 3 hours each day. Which linear equation represents the hours Yuson still has to work after x days?

A. Y=3x + 15
B. Y= -3x - 15
C. Y= -3x + 15
D. Y= 3x - 15

Answers

Answer:

C)   y = -3x + 15

Step-by-step explanation:

Let's start with the hours required, 15.  For each day worked we can subtract 3 hours.  X days would mean 3x hours.  Subtract that from the goal of 15 hours:

15 - 3x

The time remaining, y, is given by the equation 15 - 3x.

Rearrange the equation to match the format in the options,

y = 15 - 3x

y = -3x + 15

Option C

PLEASE HELP ASAP

What is the missing statement for the sixth step in the proof below?

Answers

Answer:

C

Step-by-step explanation:

The last reasoning is the side angle side theorem. In the whole proof, there is no mention of an angle. So the answer has to involve prooving that the angle in between the two sides that have been proven similar is the same in both traingles. This is best accomplished by statement C.

Solve for x in the equation x squared 4 x minus 4 = 8.

Answers

Answer:

±2√3

Step-by-step explanation:

Equation :

x² -4 = 8

x² -12 = 0

Using the quadratic formula then simplifying gives you :

±2√3

I know this lacks explanation but please brainliest

Answer:

x=2 or -6

Step-by-step explanation:

×^2+4×-4=8

8 will enter inside and become -8

x^2+4x-4-8=0

x^2+4x-12

(x^2+6x)(-2x-12)

x(x+6)-2(x+6)

(x-2)(x+6)

x=2 or x=-6

True or False?
A square can be similar to a triangle since a square is composed of two triangles.
When Ronald goes to BIG Burgers, he orders a sandwich and a side order. For the

Answers

Answer:

true is the answer not hard question

Can someone answer question 1-6

Answers

Answer:

Equation- a statement of the equality of two mathematical expressions                                                                                                                        Ex: 4 + 2 = 3 + 3Table of value- a set of ordered pairs usually resulting from substituting numbers into an equation (relation)Set of coordinate points- a set of numbers that show an exact point on a graph                                                                                                             Ex: (2, -6)Graph-  the collection of all points whose coordinates satisfy a given relationPattern- a repeated design of things like; numbers, shapes, colors, etc                                                                                                                   Ex: O $ X O $ X O $ XWord description- give a verbal description of its elements.

Step-by-step explanation:

Hope I did it right, tell me if its wrong.

the ratio of Â, B and C in triangle ABC is 2:3:4. calculate the size of each angle​

Answers

Answer:

40°, 60°, 80°

Step-by-step explanation:

sum the parts of the ratio , 2 + 3 + 4 = 9 parts

the sum of the 3 angles in a triangle = 180° , then

180° ÷ 9 = 20° ← value of 1 part of the ratio , then

2 parts = 2 × 20° - 40° = ∠ A

3 parts = 3 × 20° = 60° = ∠ B

4 parts = 4 × 20° = 80° = ∠ C

Q: Sam challenges Tom to a race. If Sam can run 6 meters per second and Tom can run at 7 meters per
second. After a minute and a half how far apart will they be?

Answers

Answer:

90 meters

Step-by-step explanation:

so, what we know is that there are  90 seconds in one minute and a half.

Sam can run 6 meters per second. which means after 90 seconds, he should have run 540 meters.

Tom can run 7 meters per second. This means after 90 seconds, he should have run 630 meters.

630-540 = 90

give brainliest please!

hope this helps :)

True or false? The graph represents a function

Answers

Answer:

true

Step-by-step explanation:

The statement is true because every graph associated a unique x-value for each y - value

Solve for x

−5(-3x-3)+5x+4=-1

Answers

Simple and best practice solution for -5(-3x-3)+5x+4=-1 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

Solve for x−5(-3x-3)+5x+4=-1Solution for -5(-3x-3)+5x+4=-1 equation:-5(-3x-3)+5x+4=-1We move all terms to the left:-5(-3x-3)+5x+4-(-1)=0We add all the numbers together, and all the variables5x-5(-3x-3)+5=0We multiply parentheses5x+15x+15+5=0We add all the numbers together, and all the variables20x+20=0We move all terms containing x to the left, all other terms to the right20x=-20x=-20/20x=-1 See similar equations:| 2x+5=0.5(4x+10) | | x+(x-11)=43 | | 39-v=56 | | 3x-4x+8=-5x+4x-9 | | -3+8u=5(u- | | -4(-2x-2)+x-2=?48 | | 2x+10=+2x+10 | | 13=-3a-5 | | 7y=64-y | | w-5/7=72/3 | | 58y+7=34y?3 | | -36=4(v-5)-6v | | 3x-4-5x=x=4=x | | ?4(r+2)=4(2?2r) | | y/2=22 | | 6x+12-x=x+8 | | -3/8y=0 | | 7(2=-x)=3(x+2) | | x-x=234 | | 0=(2x-4)(x+6) | | -8x+-7=-15 | | 16x-x=100 | | 5k+21=17k=-3 | | 14x-x=37 | | 1-4x-8=8 | | w-33=12 | | (13x+20)=(7x+38) | | -3(2b+-5)=3b | | 30x-x=473 | | 13x-10=6x+4 | | y=-2,y=-16/8 | | (17.155)^2=(0)^2+2a(-15) |

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Calculate the area of the following composite figure. (Please i need help with this)

Answers

The area of the composite shape in the diagram given is: 100 square inches.

How to Find the Area of a Composite Figure?

Area of a composite figure = sum of the areas of the shapes that make up the figure.

Area of the composite shape = 2(area of triangle) = 2(1/2bh)

Area of the composite shape = 2(1/2×10×10)

Area of the composite shape = 100 square inches.

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Write the equation of the line that passes through the points (-3,3) and (4, -1).
put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line,

Answers

[tex](\stackrel{x_1}{-3}~,~\stackrel{y_1}{3})\qquad (\stackrel{x_2}{4}~,~\stackrel{y_2}{-1}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{-1}-\stackrel{y1}{3}}}{\underset{run} {\underset{x_2}{4}-\underset{x_1}{(-3)}}} \implies \cfrac{-4}{4 +3} \implies \cfrac{ -4 }{ 7 }[/tex]

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{3}=\stackrel{m}{-\cfrac{4}{7}}(x-\stackrel{x_1}{(-3)})\implies y-3=-\cfrac{4}{7}(x+3)[/tex]

Explain step by step how you find the product of 6x^2y^5 and 3x^2 - 8x + 2xy^2 + 4y^3

Answers

The final product is 18x⁴y⁵ - 48x²y⁵+12x³y⁷+24x²y⁸

What is a product ?

The product is result obtained when a number or an expression is multiplied by the other number.

The product of the given expression

6x²y⁵ and 3x²-8x+2xy²+4y³

6x²y⁵ (3x²-8x+2xy²+4y³)

Step 1 : To multiply each term in the bracket with the other expression

out of the bracket

6*3*x²*y⁵*x² - 6*8*x²*y⁵ +6x²y⁵ *2*x*y² + 6*4*x²y⁵ *y³

Step 2 : The like variables will be solved

18x⁴y⁵ - 48x²y⁵+12x³y⁷+24x²y⁸

This is the final product

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If f (x) = StartRoot one-half x minus 10 EndRoot + 3, which inequality can be used to find the domain of f(x)?
StartRoot one-half x EndRoot greater-than-or-equal-to 0
One-half x greater-than-or-equal-to 0
One-half x minus 10 greater-than-or-equal-to 0
StartRoot one-half x minus 10 EndRoot + 3 greater-than-or-equal-to 0

Answers

The inequality that represents the domain of the function is [tex]\frac 12x - 10 \ge 0[/tex]

How to determine the domain?

The function is given as:

[tex]f(x) = \sqrt{\frac 12x - 10} + 3[/tex]

Set the radicand greater than or equal to 0

[tex]\frac 12x - 10 \ge 0[/tex]

Multiply through by 2

x - 20 ≥ 0

Add 20 to both sides

x ≥ 20  

Hence, the domain of the function is x ≥ 20  

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This table shows input and output values for a linear function f(x)
What is the difference of outputs for any two inputs that are three values apart.
Express your answer as a decimal.​

Answers

The answer is 0.75 because I took the test and that's what the answer was :)

help mee answer the question

Answers

..............................................

Please help and thanks
Choose the correct answer
2x>12x and 7x<14

Answers

Answer:

C - x < -6 and x < 2

Step-by-step explanation:

2x ">" -12 and 7x < 14. with negative numbers, the bigger the number the less it is. -12 < -6 because negative numbers work the opposite way that positive numbers do. I hope this helps you!!!!

Find the area and volume of a 11 inch cube (pls write do the equation in steps)

Answers

Answer:

1331 inches cubed

Step-by-step explanation:

V=LHW

since it is a cube, the length, height, and width will all be the same; 11 inches. You have to multiply 11 by 11 by 11, which equals 1331.

Hope this helped!

the perimeter of a rectangle is 20 cm and it's area is 24cm^2 find the length and breath of the rectangle​

Answers

Answer:

length = 6cm , breadth = 4cm

Step-by-step explanation:

Let's assume length = l

breadth = b

Given perimeter of a rectangle = 20 cm

2(l+b) = 20

l+b = 20/2

l+b = 10

l = 10 - b____(1)

Given area of rectangle = 24 cm²

l×b = 24____(2)

(1) in (2) => l × b = 24

(10-b) × b = 24

10b - b² = 24

10b = 24 + b²

0 = b² - 10b + 24

b² - 10b + 24 = 0

b² + 6b + 4b + 24 = 0

b(b+6) +4(b+6) = 0

(b+4)(b+6) = 0

b+4 = 0. &. b+6 = 0

b = -4. b = -6

breadth must be less than length and it should be positive

So b = 4 cm

b=4 in (1)

(1)=> l = 10 - b

l = 10 - 4

l = 6

A population of beavers decreases exponentially at a rate of 7.5% per year. What is the equivalent monthly rate to the nearest hundredth of a percent

Answers

Answer:

0.65%

Step-by-step explanation:

i took the test

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