Find the value of y in the equation attached to this question

Find The Value Of Y In The Equation Attached To This Question

Answers

Answer 1

Answer:

y = 4

Step-by-step explanation:

1) Simplify [tex]3^5[/tex] to 243.

[tex]{9}^{y}=\frac{243\times {9}^{6}}{{27}^{3}}[/tex]

2) Simplify [tex]{9}^{6}[/tex] to 531441.

[tex]{9}^{y}=\frac{243\times 531441}{{27}^{3}}[/tex]

3)  Simplify  [tex]243\times 531441[/tex] to  129140163.

[tex]{9}^{y}=\frac{129140163}{{27}^{3}}[/tex]

4) Simplify  [tex]{27}^{3}[/tex]  to  19683.

[tex]{9}^{y}=\frac{129140163}{19683}[/tex]

5) Simplify  [tex]\frac{129140163}{19683}[/tex] to 6561.

[tex]{9}^{y}=6561[/tex]

6) Convert both sides to the same base.

[tex]9^y=9^4[/tex]

7)  Cancel the base of 9 on both sides.

[tex]y=4[/tex]

Cheers,

ROR

Answer 2

Answer:

y = 4

Step-by-step explanation:

Decompose  in base 3

[tex]9^{y} =\frac{3^{5} (3^{2})^{6} }{(3^{3})^{3} } =\frac{3^{5}3^{12} }{3^{9} } =\frac{3^{17} }{3^{9} } =3^{17-9} =3^{8}[/tex]

if

[tex]3^{8} =(3^{2} )^{4} =9^{4}[/tex]

then

[tex]9^{y} =9^{4}[/tex]

[tex]y=4[/tex]

Hope this helps


Related Questions

Please help me!!!!!! Geometry

Answers

Draw on a graph to see which line is longer

Fill in the table with the appropriate value to describe the amount of hot dogs eaten at a hot dog eating contest.

Which value should be placed in the empty space in the table?

A. 1/6
B. 1/4
C. 1/12
D. 1/8

Answers

20 hot dogs was eaten by the 10 people who attended the hot dog eating contest.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let us assume that there were 10 people at the hot dog eating contest. If each person eats 2 hot dog, hence:

Number of hot dogs eaten = 2 hot dog per person * 10 people = 20 hot dogs.

20 hot dogs was eaten by the 10 people who attended the hot dog eating contest.

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Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards. Pete walks directly from point A to point C, without passing through point B. What is the direct distance from A to C?



How far would Pete walk if he went from A to B to C? yards

The direct distance from A to C is more than yards.

The inequality w < represents the distance, w, that Pete might save by taking the direct path.

Answers

The total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30

What is inequality?

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

We have:

Points A, B, and C, form a triangle. The distance between point A and point B is 15 yards. The distance between point B and point C is 25 yards.

Total distance if Pete walks from A to B to C:

= 15 + 25 = 40 yards

As we know in the triangle the sum of the two sides is greater than the third side.

25 + 15 > AC

The direct distance from A to C is more than 10(25-15) yards.

The inequality w < 30 represents the distance, w, that Pete might save by taking the direct path.

Thus, the total distance if Pete walks from A to B to C is 40 yards, the direct distance from A to C is more than 10 yards, and an inequality w < 30

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Answer:

40 yards, 10 yards, and 30 yards.

Was correct for me on edge 2023

area = in
help me please ty:)​

Answers

Answer:

36 inches but im really not sure though because you got to times them together and then divide by 2

What is 5 ones , 38 tens , 27 hundreds , and 5 thousands? Write the number in word form and expanded form

Answers

Answer:

Eight thousand eighty five, 8000 + 80 + 5

Explanation:
Five ones, thirty-eight tens, twenty-seven hundreds, and five thousands equal to:

5 + 380 + 2700 + 5000

This is 8085 when added or eight thousand eighty-five in word form. This is also 8000 + 80 + 5 in expanded form.

Solve the Proportion.
10/a = 15/24
a=?

Answers

Answer:

a=16

Step-by-step explanation:

10/a=15/24, a≠0

10/a=5/8

80=5a

5a=80

a=16,a≠0

a=16

a = 16. How did I get this? Well, 15/24 is a reducible fraction itself. When reducing the fraction 15/24, we divide the numerator and denominator by 3 to get 5/8. Now that we have 5/8 as our simplified fraction, the expression is:

10/a = 5/8

Because 10 divided by 2 equals 5, we could multiply 8 by 2 to get what our denominator that is missing would be. 8 x 2 = 16, so a = 16. 10/16 = 15/24.

Your final answer: a = 16

For which graph is the parent function y=x^2
On a coordinate plane, a parabola opens up and has a vertex at (negative 1, negative 2).
On a coordinate plane, a straight line has a positive slope.
On a coordinate plane, a cubic root function is shown.
On a coordinate plane, an absolute value function is shown.

Answers

y = x²  is the parent function of a parabola opens up and has a vertex at (negative 1, negative 2)

What is the standard equation of a parabola ?

The standard equation of a parabola is given by

y =a(x-h)² +k

Vertex at h , k

It is given that It has to be chosen from the options that whose parent function is

y = x²

As the plot of the first option is done , which is shown in the figure ,

The parabola is given by

y = (x +1)² +2

and the parent function is y = x²

Therefore the Option 1 is the answer.

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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Consider the expression below. For (x - 6)(x + 2) to equal 0, either (x - 6) or (x + 2) must equal . The values of x that would result in the given expression being equal to 0, in order from least to greatest, are and . Reset Next

Answers

The values of x that would result in the given expression being equal to 0 is -2, 6

Finding the solution to quadratic functions

Given the following expression

f(x) = (x-6)(x+2)

If the function f(x) = 0, then;

(x-6)(x+2) = 0
x - 6 = 0 and x + 2 = 0

Determine the value of  x

x = 6 and x = -2

Hence the values of x that would result in the given expression being equal to 0 is -2, 6

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m<1 = (3x + 4)º
m<2 = (3x + 4)º
m<3 = 29°
m<4 = 34°
m<5 = 25°

Answers

Answer: x = 44

Step-by-step explanation:

The exterior angles of a polygon add to 360 degrees so:

(3x+4)+(3x+4)+29+34+25=360 [forming equation]6x+96=360 [combine like terms]6x=264 [subtract 96 from both sides]x = 44 [divide both sides by 6]

A biased dice is rolled 100 times.
The results are shown below in the table.

Result 1 2 3 4 5 6
Frequency 12 29 26 9 14 10
Estimate the probability of rolling a prime number?

Answers

Answer:

0.69 or 69% :)

Step-by-step explanation:

Prime numbers: 2, 3, 5

Now lets add :)

29 + 26 + 14

29 + 40

69

Now we add all numbers together and divide by our first number 69 :)

12 + 29 + 26 + 9 + 14 + 10

41 + 26 + 9 + 14 + 10

67 + 9 + 14 + 10

76 + 14 + 10

90 + 10

100

69/100 = 0.69 = 69% :D

Have an amazing day!!

Please rate and mark brainliest!!

Which step in the construction of copying a line segment ensures that the new line segment has the same length as the original line segment

Answers

Now out of these points, steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

The steps to copy a line segment are given below:

1. Let's start with a line segment AB that we have to copy.

2. Now mark a point C. Below or above AB, which will be one endpoint of the new line segment.

3. Now, put the compass tip on point A of the line segment AB.

4. Spread the compass up to point B, so that the compass width is equal to the length of AB.

5. Without changing the compass width, now place the compass tip on point C that you made in step 2.

6. Now, draw an arc roughly without changing the compass settings. Mark that point D. This will form the new line segment.

7. Draw a line from C to D.

Now out of these points, steps 5 and 6 are the main steps that ensure that the copied line segment is exactly the same as the original segment.

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Select the correct answer.
What is the solution for x in the equation?
4x-3+5=2x+7-8x
OA.x= -2
OB.x= 2
OC. = 1/2
OD.* = -1/2

Answers

The answer is option C

[tex]\large\displaystyle\text{$\begin{gathered}\sf 4x-3+5=2x+7-8x \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{Simplify \ both \ sides \ of \ the \ equation. } \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{4x+-3+5=2x+7+-8x } \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{(4x)+(-3+5)=(2x+-8)+(7) \ (Combine \ like \ terms) } \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{4x+2=-6x+7 } \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{Add \ 6x \ to \ both \ sides.} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{4x+2+6x=-6x+7+6x } \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{10x+2=7 } \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{Subtract \ 2 \ from \ both \ sides. } \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{10x+2-2=7-2 } \end{gathered}$}[/tex][tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{10x=5 } \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \boldsymbol{Divide \ both \ sides \ by \ 10.} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{\frac{10x}{10}=\frac{5}{10} } \end{gathered}$}[/tex][tex]\boxed{\boxed{\large\displaystyle\text{$\begin{gathered}\sf \bf{x=\frac{1}{2} } \end{gathered}$}}} \large\displaystyle\text{$\begin{gathered}\sf \ \ \to \ \ \boldsymbol{Answer} \end{gathered}$}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Verification} \end{gathered}$}[/tex]

[tex]\sf{4\times\dfrac{1}{2}-3+5=2\times\dfrac{1}{2}+7-8\times\dfrac{1}{2} }[/tex]

[tex]\sf{\dfrac{4}{2}-3+5=2\times\dfrac{1}{2}+7-8\times\dfrac{1}{2} }[/tex]

[tex]\sf{2-3+5=2\times\dfrac{1}{2}+7-8\times\dfrac{1}{2} }[/tex]

Cancel 2

[tex]\sf{2-3+5=1+7-8\times\dfrac{8}{2} }[/tex]

[tex]\sf{2-3+5=1+7-\dfrac{8}{2} }[/tex]

[tex]\sf{2-3+5=1+7-4 }[/tex]

[tex]\sf{-1+5=1+7-4}[/tex]

[tex]\sf{4=1+7-4}[/tex]

[tex]\sf{4=8-4}[/tex]

[tex]\sf{4=4}[/tex]

[tex]\large\displaystyle\text{$\begin{gathered}\sf \bf{Checked} \end{gathered}$}[/tex]

[tex]\huge \red{\boxed{\green{\boxed{\boldsymbol{\purple{Pisces04}}}}}}[/tex]

Evaluate:
20
Σ 4(8/9)^n-1 = [?]
1
Round to the nearest hundredth.

Answers

Answer:

32.59 (nearest hundredth)

Step-by-step explanation:

Geometric sequence

General form of a geometric sequence: [tex]a_n=ar^{n-1}[/tex]

(where a is the first term and r is the common ratio)

Given:

[tex]\displaystyle \sum^{20}_{n=1} 4 \left(\dfrac{8}{9}\right)^{n-1}[/tex]

Therefore:

a = 4r = 8/9

Sum of the first n terms of a geometric series:

[tex]S_n=\dfrac{a(1-r^n)}{1-r}[/tex]

To find the sum of the first 20 terms, substitute the found values of a and r, together with n = 20, into the formula:

[tex]\implies S_{20}=\dfrac{4\left(1-\left(\frac{8}{9}\right)^{20}\right)}{1-\left(\frac{8}{9}\right)}[/tex]

[tex]\implies S_{20}=32.58609013...[/tex]

[tex]\implies S_{20}=32.59\:\: \sf (nearest\:hundredth)[/tex]                    

General form of geometric progression

ar^n-1

On comparing to the summation

a=4r=8/9

Apply Sum formula

[tex]\boxed{\sf S_n=\dfrac{a(1-r^n)}{1-r}}[/tex]

[tex]\\ \implies \sf S_{20}=\dfrac{4\left(1-\left(\frac{8}{9}\right)^{20}\right)}{1-\left(\frac{8}{9}\right)}[/tex]

[tex]\\ \implies\sf S_{20}=32.586[/tex]

[tex]\\ \sf\mplies S_{20}=32.59[/tex]

abc has a $5 million liability at december 31, 2018, of which $1 million is payable in each of the next five years. abc reports the liability on the balance sheet as a:

Answers

ABC reports the liability on the balance sheet as a $1 million current liability, and a $4 million long-term liability.

What are current and long-term liabilities?

A current liability is a liability that is payable within 12 months or one year.

On the other hand, a long-term liability is a liability that is payable after 12 months or one year.

Since $1 million is payable in each of the next five years, this implies $1 million is payable within one year while $4 million is payable after one year.

Therefore, ABC reports the liability on the balance sheet as a $1 million current liability, and a $4 million long-term liability.

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Homework Progress 46 / 90 Marks Work out the length of AB. Give your answer to 3 significant figures. A (-1, 6) B (5, 3) X + Homework Progress 46 / 90 Marks Work out the length of AB . Give your answer to 3 significant figures . A ( -1 , 6 ) B ( 5 , 3 ) X +​

Answers

Answer: 6.71

Step-by-step explanation:

[tex]AB=\sqrt{(-1-5)^{2}+(6-3)^{2}} \approx \boxed{6.71}[/tex]

Complete the steps 4/9 divided by 1/2

Answers

Answer: 0.88 (the 8 recurs)

Step-by-step explanation:

[tex]\frac{4}{9}[/tex]÷[tex]\frac{1}{2}[/tex]

[tex]\frac{4}{9}[/tex]×[tex]\frac{2}{1}[/tex]  (Then the the fraction should reciprocal so the values should shift to          the opposite side were 2 goes up and 1 goes down and the sign turns to the multiplication sign)

then u should multiply the two fractions which gives 8/9

next you should divide 8 by 9 which gives 0.88(the number eight is recurring which means that the number 8 keeps repeating no matter how many times you try to divide)

Uhhhhhh????????????!

Answers

Answer:

2y + 3 = 4y + 2; y = 1/2

Step-by-step explanation:

to find this equation we can use the ys and the 1s to create an equation

so

in the left side

there are 2 ys and 3 1s

your equation is

2y + 3

on the other side

it is

4 ys and 2 1s

so

4y + 2 is your equation

then yo uset them equal to each other

2y + 3 = 4y + 2

if you must solve

subtract 2y and 2 from both sides

1 = 2y

then divide both sides by 2

y = 1/2 is your answer

Smith rides his cycle at the speed of 10 mile per hour. How many miles smith travels in 4 hours ?

Answers

Answer:

40 miles

Step-by-step explanation:

10X4

The answer is 40 miles

-------------------------------------------------------

If he consistently rides ten mph (miles per hour) for 4 hours (4*10) he would have ridden 40 miles.

By the distributive law 49 x 17 + 49 x 3=

Answers

Answer:

49(17 + 3)

Step-by-step explanation:

The Distributive Law says [tex]a(b+c)=ab+ac[/tex].  But it can be used in the other direction,  [tex]ab+ac=a(b+c)[/tex].  That way, you look at ab and ac to find the common factor a.  What's playing the role of  a  in the expression 49 x 17 + 49 x 3?  It's 49, the factor that shows up twice.  That's the factor that can be taken outside the parentheses.

49 x 17 + 49 x 3 = 49(17 + 3)

The vertex of this parabola is at (3-2). When the value is 4 the
y-value is 3. What is the coefficient of the squared expression in the
parabola's equation?
A. 7
B. 1
C. -1
D. 5

Answers

Answer:

D

Step-by-step explanation:

the equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

here (h, k ) = (3, - 2 ) , then

y = a(x - 3)² - 2

to find a substitute the point (4, 3 ) into the equation

3 = a(4 - 3)² - 2 ( add 2 to both sides )

5 = a × 1² = a

the coefficient of the squared expression is 5

Find the midpoint of the segment with the following endpoints. (10, 6) and (4, 9)

Answers

Answer:

(7,7.5)

Step-by-step explanation:

midpoint formula:

(10+4)/2=7

(6+9)/2=7.5

(7,7.5)

The sum of a number 8 and twice the number X is 28

Answers

ANSWERS ARE AT THE BOTTOM

To solve this question, we need to write the questions algebraically. Let's look at the problem first: The sum of a number 8, and twice the number x is equal to 28.

Algebraic form:

8 + 2x = 28

Lets solve this!

8 + 2x = 28            (Algebraic Form)

2x = 28 - 8             (Subtract 8 from both sides)

2x = 20                  (Divide by 2)

x = 10                     (Answer)

ANSWER:

x = 10

Use the accompanying table to answer the questions regarding money ratios.
(a) What is the capital a 40-year-old should have with an income of $32,000?

(b) How much should a 35-year-old be saving for retirement with an income of $86,000?

(c) How much in education debt should a 30-year-old have with an income of $59,000?


The 40-year-old should have $___in capital.
(Simplify your answer)

(b) The 35-year-old should be saving $ for retirement.

(Simplify your answer)

(c) The 30-year-old should have $___ in education debt.
(Simplify your answer)
.

Answers

The 40-year-old should have $76800 in capital. The 35-year-old should be saving $$10,320 for retirement.

How to solve for the amounts

The capital that a 40 year old has to have with an income of 32000 is

capital income at age 40 * income

= 2.4 * 32000

Capital = $76800

b. At 35 the savings income has to be

percentage of savings income * income

= 12% * $86000

= $10,320

c. There is no specified value for education earnings.

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Convert the angle from radians to degrees: [tex]\frac{5}{6}\pi[/tex] with working

Answers

150 degrees according to the unit circle.

value of in the equation a=2+3+10

Answers

[tex]\huge{\boxed{\mathfrak{ANSWER}}} [/tex]

[tex]a=2+3+10[/tex]

[tex]a = 15 [/tex]

[tex]\huge \pink {\overline{ \quad \quad \quad \quad \quad \quad \quad\quad \quad}}[/tex]

Trigonometric ratios apply only to right triangles and not to oblique triangles.

true
false

Answers

Answer:

[tex]\fbox {True}[/tex]

Step-by-step explanation:

Trigonometric ratios apply to only right triangles, and not to oblique triangles. There various ratios of angles less than or equal to 90 degrees is taken.

Step-by-step explanation:

hope you can understand

Can you solve these questions and explain them for me? Thank you

Answers

Step-by-step explanation:

When folding up the box, x will be the height

(30-2x) will be the length

(25-2x) will be the width so

[tex]v(x) = x(30 - 2x)(25 - 2x)[/tex]

b. First, we can't have negative length or zero length so x must be Positve.

Set the other binomial equal to 0.

[tex]30 - 2x > 0[/tex]

[tex] - 2x > - 30[/tex]

[tex]x < 15[/tex]

[tex]25 - 2x > 0[/tex]

[tex] - 2x > - 25[/tex]

[tex]x < 12.5[/tex]

So our domain is

(0,12.5), meaning our value of x must be greater than 0 and less than 12.5

PLS HELP
Select the correct answer.
Consider function f.
f(x) = 2x²
What is the value of (f of)(x)?
A.
B.
OC.
D.
8x4
16x4
4x4
4x²

Answers

Step-by-step explanation:

[tex]f(x) = 2 {x}^{2} [/tex]

[tex] \: [/tex]

[tex] = (f \circ f)(x)[/tex]

[tex] = f(f(x))[/tex]

[tex] = 2 {x}^{2} [/tex]

[tex] = 2 {(2 {x}^{2} )}^{2} [/tex]

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

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

[tex] = 8 {x}^{4} [/tex]

The answer is A.

Find the indicated length and explain your reasoning

Answers

Answer:

LM=25

MN=12

Now,

(M एउटै विन्दु हो)

LM+MN= LN

25+12=37

If f(x) = 2x – 5, find the inverse. This function passes the Horizontal Line Test which means it is a onetoone function that has an inverse. y = 2x – 5 Change f(x) to y. x = 2y – 5 Switch x and y. Solve for y by adding 5 to each side and then dividing each side by 2.

Answers

A function assigns the values. The inverse of the function is y = (x+5)/2.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

To find the inverse of the function, the function is needed to be solved for x, and then replace x with y and vice versa. Therefore, the inverse of the function will be,

f(x) = y = 2x - 5

y = 2x - 5

y + 5 = 2x

x = (y+5)/2

y = (x+5)/2

Hence, the inverse of the function is y = (x+5)/2.

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