For whаt vаluе оf x does 3^4х = 27^x-3?

Answers

Answer 1

Answer:

x = -9

Step-by-step explanation:

3^4х = 27^(x-3)

Replace 27 with 3^3

3^4х = 3^3^(x-3)

We know that a^b^c = a^ (b*c)

3^4х = 3^(3(x-3))

Since the bases are the same, the exponents are the same

4x = 3(x-3)

Distribute

4x =3x-9

Subtract 3x from each side

4x-3x = 3x-3x-9

x = -9


Related Questions

can someone help pleaseee i will give brainlyest

Answers

Answer:

the last option =  103 ft

Step-by-step explanation:

It is in the ratio of

1  :  30

Multiply each side by 5.5

5.5  :  165

convert 165 inches to feet

13.75

1  :  30

multiply each side by 3

3  :  90

convert 90 inches to feet

7.5

since it is asking for the area multiply 13.75 ft and 7.5 feet

13.75 * 7.5 = 103 ft

Please help with this. Thank you

Answers

Answer:

the answer os

Step-by-step explanation:

i m only n 5th grade

It would be 1/2(8.9)(sqrt(57)) which is about 33.6

A solution to a system of two linear equations is where they intersect

A. Always
B. Sometimes
C. Never

Answers

A. Always

Two lines don't always intersect, but the solutions are always where they intersect.

Identify the type of function.
y = (x-5)(x-2)

Answers

X1 is 2, and X2 is 5.

Help
Needs to explain to me plzzz

Answers

Answer:

Its 15, just trust me on this one

Step-by-step explanation:

Answer: 15mm

Explanation: plug in each answer choice to the formula 4.4*14*x= 924
The formula for volume is length times width times height

Hope this helps :)

Two students will be chosen at random from 8 boys and 12 girls. What is the probability that a boy then a girl will be chosen? Remember to simplify your fraction! *
4 points

Answers

Answer:

boys + girls = 20

boys 2/20 girls 2/20 but if boy and girl are chosen it is a 1/20 chance of boy and girl are chosen so 2/20 =1/10

Step-by-step explanation:

Which number is not in scientific notation?

Answers

Answer:

There are no answer choices

Step-by-step explanation:

I am sorry!

Answer:

What number?

Step-by-step explanation:

Tim install 50 square feet of his floor in 45 mins. At this rate how long does it take him to install 495 square feet. Is that 99.5 or 445.5?

Answers

Answer:

the answer is 445.5

Step-by-step explanation:

what I did was divide 50 by 495 and got 9.9 then since it took 45 minutes every 50 square feet of floor i multiplied 45 x 9.9 and got 445.5  

The radius of a circle is 620cm what is the diameter of this circle

Answers

Answer:

1240 cm

Step-by-step explanation:

Diameter = 2 * radius

The radius is 620, making the diameter 620 * 2 = 1240

The formula is 2 times the radius. So In this situation it would be 2 times 620 which equals 1,240

Solve the system of equations. y= 2x -3 y= x^2 -3

Answers

Answer:

(0, - 3 ) and (2, 1 )

Step-by-step explanation:

Given the 2 equations

y = 2x - 3 → (1)

y = x² - 3 → (2)

Substitute y = x² - 3  into (1)

x² - 3 = 2x - 3 ( subtract 2x - 3 from both sides )

x² - 2x = 0 ← factor out x from each term

x(x - 2) = 0

Equate each factor to zero and solve for x

x = 0

x - 2 = 0 ⇒ x = 2

Substitute these values into (1) for corresponding values of y

x = 0 : y = 2(0) - 3 = 0 - 3 = - 3 ⇒ (0, - 3 )

x = 2 : y = 2(2) - 3 = 4 - 3 = 1 ⇒ (2, 1 )

Answer:

(0, - 3 ) and (2, 1 ) 100% correct

Step-by-step explanation:

An exponential function is written y=a(b^x) Which variable determine if the function is increasing or decreasing?

1. a
2. b

Answers

Answer:

b

Step-by-step explanation:

if b is less than 1, it is a decreasing function; if b is more than 1, it is an increasing function

That’s a true question is A

What is the volume of the composite figure? Leave the
answer in terms of .
Tot mm
5 mm
3 mm

Answers

Answer:

It is 33 on edge 21.

Step-by-step explanation:

trust me :)

Sasha made cups of lemonade to sell at her stand. She sold 9 cups of lemonade in the first hour. For each hour after that, she sold five cups. She was outside for a total of 4 hours. How many cups of lemonade did she sell?

Answers

Answer:

24 cups

Step-by-step explanation:

1st hours = 9 cups

2nd hour = 5 cups

3rd hour = 5 cups

4th hour = 5 cups

9 + 5 + 5 + 5 = 24 cups

Sean needs to figure out how much paint he needs in order to cover all of the sides of his ramp. what is the surface area of the ramp?

a) 102 cm2

b) 210 cm2

c) 258 cm2

d) 432 cm2

Answers

Answer:

210

Step-by-step explanation:

find the area of each rectangle and add it to the area of both the triangles

9(6) +5(9) +9(7)+(6(8))/2 + (6(8))/2

The surface area of the ramp will be 210 square cm. Then the correct option is B.

What is the surface area of a triangular prism?

Let h be the height and b be the base of the triangle. Let L₁, L₂, and L₃ be the length and W be the width of the rectangle. Then the surface area of the triangular prism will be given as,

Surface area = 2 Area of triangle + 3 Area of rectangle

Surface area = (h x b) + (L₁ + L₂ + L₃) x W

Sean must determine how much paint he will use to cover all of the edges of his ramp.

The surface area of the ramp is calculated as,

SA = (8 x 6) + (5 + 6 + 7) x 9

SA = 48 + 18 x 9

SA = 48 + 162

SA = 210 square cm

The surface area of the ramp will be 210 square cm. Then the correct option is B.

More about the surface area of a triangular prism link is given below.

https://brainly.com/question/16765719

#SPJ3

Please Help Me Out! I'd Appreciate It So Much! TYSM!


A construction crew is lengthening a road. The road started with a length of 57 miles, and the crew is adding 4 miles to the road each day. Let L represent the total length of the road (in miles), and let D represent the number of days the crew has worked. Write an equation relating L to D. Then use this equation to find the total length of the road after the crew has worked 36 days.

Equation: ?
Total Length of the road after 36 days: ?

Answers

Answer:

L = 57 + 4D

After 36 days, the length of the road will be 201 miles.

Step-by-step explanation:

L = 57 + 4(36)

L = 57 + 144

L = 201

what is the square root of 100

Answers

Answer:

the square root of 100 is +-10

Step-by-step explanation:

a square root is the number that when squared makes that number

10 squared =100

Answer:

Plus or minus 10

Step-by-step explanation:

10 times 10 is 100, also, -10 times -10 is 100

Juanita has saved 30% of the money that she needs to buy a new bicycle. If she has saved $42, how much money does the bicycle cost? The Bicycle costs?

Answers

Answer:

$140

Step-by-step explanation:

If $42 is the amount of 30% of the price of a bycicle, we can quickly find the total amount by dividing 42 by .3.

42/0.3 = 140

$140 is your final answer!

Hope this helps!

Find the volume of the sphere

Answers

The volume of a sphere is
(4/3)πr²
Radius is 9
(4/3)π9²
= 339.12 units³

what is the slope of y+3=−4(x+7)
A
−1
B
−2
C
-1/2
D
1

Answers

Use the app photo math

Patricia buys a round dinner table the radius of the dinner table is 6 m what is the area of the table table

Answers

Answer:

18.8495559215 m

Step-by-step explanation:

It is 6 times pi.

Answer:

113.04

Step-by-step explanation:

What is the degree measure of s? A) 106° B) 122° C) 131° D) 151°

Answers

Answer:

I need an angle to find the degrase.

Answer:

D)151

Step-by-step explanation:

61° + 90° = 151°

The measure of an exterior angle of a triangle is equal to the sum of the measures of the two non-adjacent interior angles.

I know this seems like duhh but I honestly forgot

Answers

Answer:

In parasitic relationships, the parasite is a term for a parasitic organism - it leeches substance from its host. In this case, the host is the dog.

the dog is identified as the host

HELP PLS 30) PTS
--------
Calculate the bases of the trapezoid.
The diagonal of the trapezoid divides the central section into parts, one of which makes up 62.5% of the other . Find the bases when the middle section is 26 cm.

The answer . The longer base of the trapeze is__ cm and shorter__ cm.

Answers

Answer:

32 ; 20

Step-by-step explanation:

Middle section: 26

Sum of parallel lengths: 2 × 26 = 52

Ratio of the sides:

100% : 62.5%

8 : 5

5/(8+5) × 52

20

8/(8+5) × 52

32

Solve and graph this inequality on a number line:
-3 (x + 4) = 15

Answers

Steps to solve:

-3(x + 4) = 15

~Distributive Property

(-3 * x) + (-3 * 4) = 15

~Simplify

-3x - 12 = 15

~Add 12 to both sides

-3x - 12 + 12 = 15 + 12

~Simplify

-3x = 27

~Divide -3 to both sides

-3x/-3 = 27/-3

~Simplify

x = -9

Best of Luck!

1 gallon of water weighs 8 1/3 pounds
30 gallons of water weighs x pounds

Answers

the answer would be 10 pounds

30 gallons of water weighs 250 pounds.

To find the weight of 30 gallons of water, we can use the given conversion factor that 1 gallon of water weighs 8 1/3 pounds.

First, let's find the weight of 1 gallon of water in pounds:

1 gallon = 8 1/3 pounds

Now, we can calculate the weight of 30 gallons of water:

30 gallons = 30 x (8 1/3 pounds)

= 30 x (25/3 pounds)

= 250 pounds

Therefore, 30 gallons of water weighs 250 pounds.

Learn more about conversion factor click;

https://brainly.com/question/30567263

#SPJ6

What is a surface area?

Answers

Answer:

D

Step-by-step explanation:

in order to find the surface area, you have to add all of the surface area of the figure

Find the sum of the given polynomials. 3x ^2 + 2x - 5 and -4 + 7x ^2

Answers

Answer:

[tex] 10 {x}^{2} + 2x - 9[/tex]

Step-by-step explanation:

[tex](3 {x}^{2} + 2x - 5) + ( - 4 + 7 {x}^{2}) \\ = 3 {x}^{2} + 2x - 5+ 7 {x}^{2} - 4 \\ = 3 {x}^{2} + 7 {x}^{2} + 2x - 5- 4 \\ = 10 {x}^{2} + 2x - 9[/tex]

a pizzeria stores flour in a 5-gallon container. Each pizza they make uses 7 cups of flour. can the cook at pizzeria make 12 pizzas without refilling the canister?


the canister holds cups and they need cups of flour to make 12 pizzas?

Answers

Answer:

The cook CANNOT make 12 pizzas without refilling the canister

Step-by-step explanation:

Please see the attached files for explanation

The pizzeria cook can make 12 pizzas without refilling the flour container.

The pizzeria stores flour in a 5-gallon container. Each pizza uses 7 cups of flour. To determine if the cook can make 12 pizzas without refilling, we need to calculate if 5 gallons of flour is enough.

Calculation:

5 gallons = 640 cups (since 1 gallon = 128 cups)

12 pizzas x 7 cups/pizza = 84 cups needed for 12 pizzas

Since the canister holds 640 cups and only 84 cups are needed for 12 pizzas, the cook can indeed make 12 pizzas without refilling.

Plz help if u understand!?

Answers

Answer:

26.08

Step-by-step explanation:

Answer:

26.08

Step-by-step explanation:

You need to use pythagorean formula. a^2 + b^2 = c^2

since b and c are the farthest you plug in you numbers

22^2 + 14^2 = 680^2

690^2 = about 26.08 miles

hope this helps!


Describe the transformations that maps triangle A to triangle A'.

A.translate 7 units to left and then reflect over the x-axis
B.translate 5 units to left and then reflect over the x-axis
C.translaté 7 units to right and then reflect over the x-axis
D.translate 5 units to right and then reflect over the x-axis

Answers

Answer:

c

Step-by-step explanation:

moving the figure over 7 units would put it directly over the a'

after that you can reflect the a over the x axis

The correct option is C. Translate [tex]7 \ units[/tex] to the right and then reflect over the x-axis.

To determine the transformations that map triangle [tex]\( A \)[/tex] to triangle [tex]\( A' \)[/tex]

1. Translation:

Observe the horizontal distance between the corresponding points of triangles [tex]\( A \)[/tex] and [tex]\( A' \)[/tex].

Triangle [tex]\( A \)[/tex] is initially centered around [tex]\( x = 2 \)[/tex]., while triangle [tex]\( A' \)[/tex] is centered around [tex]\( x = 2 \)[/tex]

The horizontal distance from [tex]\(-5\)[/tex] to [tex]\(2\)[/tex] is [tex]\(7\)[/tex] units to the right.

2. Reflection:

Check the vertical positions of triangles [tex]\( A \)[/tex] and [tex]\( A' \)[/tex].

Triangle [tex]\( A \)[/tex] is above the x-axis while triangle [tex]\( A' \)[/tex] is below the x-axis. This indicates a reflection over the x-axis.

Thus, the correct transformation sequence is to translate triangle [tex]\( A \) 7 units[/tex] to the right and then reflect it over the x-axis.

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