The expression 81^x is equivalent to 27^y where x and y are both positive. How to find the value of x/y ?

Answers

Answer 1

Answer:

3/4

Step-by-step explanation:

3⁴^x = 3³^y

4x = 3y

=> x/y = 3/4


Related Questions

Hank's Hardware purchased a barbecue grill for $350.36 and marked it up 185%. During a sale, the store marked it down 20%. What was the discount price of the barbecue grill?

Answers

Answer:

798.82

Step-by-step explanation:

round 798.824

HELP I DONT UNDERSTAND.

Answers

Answer:

Step-by-step explanation:

the answer  " I need  because"  isn't even correct.. :P  

it should be  "  I need    one more side of each triangle ,  because then I can use the side angle side rule to say the triangles are the same. "

 

PLSS HELP (Write your answer with only positive exponents.)

Answers

Answer:

-g^8

Step-by-step explanation:

it would still remain the same as it is shown because the "g" is negative and the "8", the exponent, is positive

What is the length of the hypotenuse?

A. 10
B. 14
C. 48
D. 100

Answers

Option A= 10

Process

Using Pythagoras Theorem,

8²+6²= (hypotenuse)²

64+36= (hypotenuse)²

(hypotenuse)²= 100

hypotenuse= √100

hypotenuse= 10

So Option A= 10

Hope This Helps You ❤️

Answer:

The hypotenuse is A. 10.

Step-by-step explanation:

To find the length of hypotenuse we can use  the pythagoras theorem formula:

[tex]a^{2} +b^{2} =c^{2}[/tex]

[tex]=>6^{2} +8^{2} = c^{2}[/tex]

[tex]=> 36 + 64 = c^{2}[/tex]

[tex]=> 100 =c^{2}[/tex]

[tex]=> c = \sqrt{100}[/tex]

∴ [tex]c[/tex] [tex]= 10[/tex]

Multiplying and dividing rational expressions

Answers

Answer:

the answer in the picture

Step-by-step explanation:

solving equations

x+4=24

Answers

Answer:

x = 20

Step-by-step explanation:

x + 4= 24

Subtract 4 rom both sides

x = 20

Answer:

Your answer is

x=20

Step-by-step explanation:

x=24 -4

Does anyone know this

Answers

Answer:

8 2/3

Step-by-step explanation:

26/3

CONVERT TO A MIXED FRACTION

8 2/3

Answer:

Step-by-step explanation:

3[tex]\frac{1}{4}[/tex] ÷[tex]\frac{3}{8}[/tex]

4*3+1/4 * 8/3

13/4*8/3

13*8/4*3

104/12

26/3

not :when u change division sign into multiplication then do the reciprocal .

What is the solution set of the equation (x - 2)(x - 8) = 0?
1)-2 and 8
2)-2 and -8
3) 2 and 8
4) 2 and -8

Answers

Answer:

Step-by-step explanation:

2 and 8

s=10 what is the volume of the prism

Answers

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle.

A store sells 3 hats for a total of $47.25. The cost of each hat is the same. What is the cost, in dollars, of
one hat at the store?
^
Enter your answer in the box.
dollars

Answers

Answer:

Each hat is $15.75

Step-by-step explanation:

When you take $47.25 since there is three hats you divide by 3, so you get 15.75.

on a piece of paper mark a point h for home and s for school. describe how to find the set points of equidistant from h and s

Answers

Answer:

e?..............................

what is the correct answer?

Answers

Answer:

well we can see the sign's a trapezoid

area of trapezoid = 1/ 2 × sum of parallel sides × height

= 1/ 2 × (7+5) × 4

= 1/ 2 × 12 × 4

= 24 Sq feet

that's first option

PLEASE HELP ASAP !!
A car company’s profit can be modeled by the equation P = –2x^2 + 44x – 42, where P is the profit in millions of dollars and x is the number of cars sold in thousands.
(a.) How many cars are sold when the company breaks even?
(b.) What is the company’s maximum profit? How many cars sold gives the maximum profit?

Answers

Answer:

Step-by-step explanation:

In order for a company to break even, it earns no profit but it also incurs no loss. In other words, set the quadratic equal to 0 and factor to find x.

If you factor this using the quadratic formula you will get that the number of cars sold for the company to neither earn nor lose money is 1 or 21. Right in the middle is where we will find the maximum value (the vertex). This max value will give us the number of cars sold, h, and its corresponding value, k.

To solve for h easily, use the formula

[tex]h=-\frac{b}{2a}[/tex] where a and b are the coefficients found in the standard form of a polynomial [tex]ax^2+bx+c[/tex]:

[tex]h=-\frac{44}{2(-2)}=11[/tex] and for k, use:

[tex]k=c-\frac{b^2}{4a}[/tex]:

[tex]k=-42-\frac{44^2}{4(-2)}=200[/tex]

This means our vertex is (11, 200) and in the context of our problem, we know that when the company sells 11,000 cars it makes a max profit of 200 million dollars.

In ΔDEF, the measure of ∠F=90°, EF = 2.3 feet, and FD = 2.9 feet. Find the measure of ∠D to the nearest tenth of a degree.

Answers

Answer:

[tex]\theta=38.42 \textdegree[/tex]

Step-by-step explanation:

From the question we are told that:

Angle of F [tex]\angle F=90 \textdegree[/tex]

Length of [tex]EF = 2.3 feet,[/tex]

Length of [tex]FD= 2.9 feet,[/tex]

Generally the equation for Angle D [tex]\theta[/tex] is mathematically given by

Since [tex]\angle F=90[/tex].The triangle  is a right angle Triangle

Therefore

 [tex]tan \theta=\frac{EF}{FD}[/tex]

 [tex]tan \theta=\frac{2.3}{2.9}[/tex]

 [tex]\theta=tan^{-1} 0.793[/tex]

 [tex]\theta=38.42 \textdegree[/tex]

Eric's tackle box has 4 sections for fishing lures. Eric has 28 lures.
He wants to put the same number of lures in each section.
How many lures should he put in each section?

Answers

Eric should put 7 lures in each section.

28/4=7

what number lies in between 18 and 24

Answers

Answer:

21

Step-by-step explanation:

24 - 18 = 6

6/2 = 3

18 + 3 = 21

Answer: 21

Step-by-step explanation:

18, 19, 20, 21, 22, 23, 24

1     2    3         3     2    1

21 is in the middle

The softball in the mitt is 4.9 inches in diameter. What is its volume? (Use 3.14 for )

Answers

Ur answer is 96 !!!!

Volume is a three-dimensional scalar quantity. The volume of the softball is 61.6 cubic inches.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.

Given that the diameter of the softball is 4.9 inches. Since the radius is half the diameter, therefore, the radius of the softball can be written as,

Radius = Diameter

           = 4.9 inches / 2

           = 2.45 inches

Now, the volume of the softball can be written as,

Volume of the softball = (4/3) × π × r³

                                  = (4/3) × π × (2.45 inches)³

                                  = 61.6 inches³

Hence, the volume of the softball is 61.6 cubic inches.

Learn more about Volume:

https://brainly.com/question/13338592

#SPJ5

What’s the area of the shape?

Answers

Answer:

Hello! answer: 113.04

Step-by-step explanation:

It looks like you already selected the correct answer! What you do to find it is radius squared × 3.14 so

6 × 6 = 36 36 × 3.14 = 113.04 therefore that is the answer Hope that helps!

This Question: 1 pt
1 of 20 (0 complete)
ZEFG and ZGFH are a linear pair, m ZEFG = 3n + 19, and mZGFH = 2n + 36. What are mZEFG and mZGFH?
mZEFG =
mZGFH =]
(Simplify your answers.)

Answers

[tex]\huge{ \mathfrak{  \underline{ Answer }\:  \:  ✓ }}[/tex]

Angles forming linear pair are :

[tex] \mathrm{\angle EFG \: \: and \: \: \angle GFH} [/tex]

And we know, they are supplymentary

[tex] \mathrm{\angle EFG \: + \: \angle GFH} = 180 \degree[/tex][tex]3n +1 9 \degree+ 2n + 36\degree = 180 \degree[/tex][tex]5n + 55\degree = 180\degree[/tex][tex]5n = 125\degree[/tex][tex]n = 25\degree[/tex]

So, the measures of the given angles are :

[tex] \mathrm{\angle EFG } = 3n + 19[/tex][tex] \mathrm{ \angle EFG = (3 \times 25\degree) + 19}[/tex][tex] \mathrm{ \angle EFG = 75 \degree+ 19\degree}[/tex][tex]\mathrm{ \angle EFG = 94\degree}[/tex]

And

[tex]\mathrm{ \angle GFH = 2n + 36}[/tex][tex]\mathrm{ \angle GFH = (2 \times 25\degree) + 36\degree}[/tex][tex]\mathrm{ \angle GFH = 50\degree + 36\degree}[/tex][tex]\mathrm{ \angle GFH = 86\degree }[/tex]

_____________________________

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

It takes 3 hours for a boat to travel upstream against the current and 1.8 hours to travel the same distance downstream with the current. What is the speed of the boat in still water if the speed of the current is 3 mph?

Answers

Answer:

Step-by-step explanation:

There are a couple of things to know before we set up the table for this problem. First, we need to remember that if the boat is traveling against the current, that the current is going to slow the boat down; likewise, going with the current will speed the boat up. Second, we need to realize that if the boat's distance against the current is the same as the distance with the current, then the distances in the equations will be set equal to one another.

Set up the table with U (against the current) and D (with the current) on the outside and fill in what we are given:

                      d           =           r            x            t

U    

D

This is the table. Now we will fill it in:

                     d           =           r              x            t

U                                         r - 3             x            3

D                                         r + 3             x           1.8

The formula for the distance equation is at the top of the table as d = rt. We already decided that the distances that the boat traveled upstream and downstream were the same so we will set those d values equal to each other, but we first need to get the d value for each row. If distance = rate times time, then for the first row:

d = (r - 3)3 and

d = 3r - 9. For the second row:

d = (r + 3)1.8 and

d = 1.8r + 5.4. Setting them equal to each other:

3r - 9 = 1.8r + 5.4 and

1.2r = 14.4 so

r = 12 mph

What is percentage of values available between first and third quartile of this data set (8, 7, 3, 8, 14, 15, 20)?

Answers

Answer:

[tex]\%Pr =71.43 \%[/tex]

Step-by-step explanation:

Given

[tex]S = \{8, 7, 3, 8, 14, 15, 20\}[/tex]

[tex]n(S) = 7[/tex]

Required

Percentage of values between Q1 and Q3

We have:

[tex]S = \{8, 7, 3, 8, 14, 15, 20\}[/tex]

Sort

[tex]Sorted = \{3, 7, 8, 8, 14, 15, 20\}[/tex]

Q1 is calculated as:

[tex]Q_1 = \frac{n+1}{4}th[/tex]

[tex]Q_1 = \frac{7+1}{4}th[/tex]

[tex]Q_1 = \frac{8}{4}th[/tex]

[tex]Q_1 = 2nd[/tex]

The second element is: 7; So:

[tex]Q_1 = 7[/tex]

Q3 is calculated as:

[tex]Q_3 = 3*\frac{n+1}{4}th[/tex]

[tex]Q_3 = 3*\frac{7+1}{4}th[/tex]

[tex]Q_3 = 3*\frac{8}{4}th[/tex]

[tex]Q_3 = 3*2th[/tex]

[tex]Q_3 = 6th[/tex]

The sixth element is: 15; So:

[tex]Q_3 = 15[/tex]

From the sorted dataset, the data between Q1 and Q3 is:

[tex]Q_3&Q_1 = \{7, 8, 8, 14, 15\}[/tex]

[tex]n(Q_3&Q_1) = 5[/tex]

The percentage is:

[tex]\%Pr =\frac{n(Q_3&Q_1)}{n(S)} * 100\%[/tex]

[tex]\%Pr =\frac{5}{7} * 100\%[/tex]

[tex]\%Pr =\frac{5* 100}{7} \%[/tex]

[tex]\%Pr =\frac{500}{7} \%[/tex]

[tex]\%Pr =71.43 \%[/tex]

Please please help please

Answers

The answer is 25.6 per gallon

PLZ HELPPPPPPPPPPPPPP​

Answers

Answer:

i believe it is a if not im sorry

Step-by-step explanation:

-2x^3(3x^2-4x+7)
?????

Answers

Answer:

[tex]-6x^5+8x^4-14x^3[/tex]

Step-by-step explanation:

[tex]-2x^3(3x^2-4x+7)[/tex]   Use distributive property

[tex]-2x^3[/tex] · [tex]3x^2[/tex] = [tex]-6x^5[/tex]      

[tex]-2x^3[/tex] · [tex]-4x[/tex] = [tex]8x^4[/tex]       Product becomes positive because of two negatives

[tex]-2x^3[/tex] · [tex]7[/tex] = [tex]-14x^3[/tex]

Group all of those numbers together (in order)

[tex]-6x^5+8x^4-14x^3[/tex]

its -2^3*(-5^2x+7) and 5^3x-14^3

The lines represented by the equations y = 2x – 2 and 2y - 4x = 2 are
O perpendicular
O neither parallel nor perpendicular
O the same line
parallel

Answers

Answer:

They are parallel but not the same

Step-by-step explanation:

because they have same slope or gradient which is 2

What is the area, in square units, of the shaded region? (nearest tenths place)

Answers

Answer:

169.6

Step-by-step explanation:

In a roll of aluminum foil, the inner cardboard tube has a diameter of 1.75 inches and a height of 18 inches I the tube is cut and unfolded to form a rectangle, what is the lateral area?​

Answers

The "width" of the rectangle would be the "circumference" of the tube whereas the length is merely the height of the tube.
.
Therefore, we have:
length = 11 inches
width = 2(pi)r = 2(3.14)(1.7) = 2(3.14)(1.7/2)
width = (3.14)(1.7)
.
area of rectangle = length * width
area of rectangle = 11(3.14)(1.7) = 58.718 square inches

To get the x and the y

Answers

Answer:

x = 16

y = 20

Step-by-step explanation:

the left part of the triangle can be solved first as it already has one angle and 1 side, we use trigonometry for this.

since we have 2 sides and 1 angle, to find the third side length we use the pythagoras theorem. a² + b² = c²

; 9² + 12² = c²

; 225 = c²

;√225 = c

; 15 = c

since we have all the lengths of the triangle, we can find out the angle opposite to the side length '9',

; [tex]\frac{Sin x}{9} = \frac{sin90}{15}[/tex]

; [tex]\frac{Sin 90}{15}[/tex] x 9 = Sinx

36.86 = x

now, we look at the triangle as a whole, the top angle being 90 degrees, we know that we have 36.86.

; 90 - 36.86 = 53.13

[tex]\frac{y}{Sin 90} = \frac{12}{Sin 36.86}[/tex]

; [tex]\frac{12}{sin 36.86}[/tex] x Sin 90 = 20

y = 20

again, since we have 2 sides of a right angled triangle we use a² + b² = c²

we arrange this formula since we have the hypotenuse

; 20² - 12² = 256

; √256 = x

; 16  = x

(Part 2) PLZ HELP
this is due today:(

Answers

36° i did this before

PLEASE HELP ME WITH THIS

Answers

Answer:

AB = Secant

DB = Diameter

AB = Chord

OB = Radius

BC = Tangent

Step-by-step explanation:

The image provided below is a great reference!

Note: The answers are put in order.

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