(a^3b^4/a^2b)^6=a^xb^y

(a^3b^4/a^2b)^6=a^xb^y

Answers

Answer 1

Answer:x = 6 , y = 18

Step-by-step explanation:


Related Questions

rne subtracted 6x3 2x
find the difference.
from -3.x3 +
4x - 7. Use the drop-down menus
to identify the steps Lorne used
(-3x' + 5x7,+ 4x - 7) + (-6x3 + 2x -3)
(-3x°) + 5x2 + 4x + (-7) + (-6x3) + 2x + (-3)
[(-3x*) + (-6x°)] + [4x + 2x] + [(-7) + (-3)] + [5x2)
-9x° + 6x + (-10) + 5x2
-9x' + 5x2 + 6x - 10

Answers

F(x) = 3-2x/x that is the answer

9(x - 11) = 9 what is x

Answers

Answer:

x=12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

12-1 is 11 and than 9 times 1 is 9

A biologist watches and records the number of hippos that visit a particular
watering hole over a 30-day period. What method is the scientist using to
collect data?
OA. Observational study
OB. Survey
C. Control
D. Experiment

Answers

The correct answer is option A which is  Observational study.

What is an observational study?

This is an example of an observational study because the biologist is not interfering or interacting with the subjects of the study but just watching and registering data (recording with cameras).

The biologist is not conducting an experiment because (he is not setting up special conditions to register different responses to drive conclusions), and the biologist is not making any survey (questionnaires for example).

Therefore the correct answer is option A which is  Observational study.

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Find the value
of each variable.

Answers

Answer:

y=37 degrees(vertical angles)

x=180-37(linear pair)=143 degrees

z=143 degrees(vertical angles)

Hope it helps!

Answer:

x = 180° - 37° = 143°

y = 37°

z = 180° - 37° = 143°

The price of products may increase due to inflation and decrease due to depreciation. Marco is studying the change in the price of two products, A and B, over time.

The price f(x), in dollars, of product A after x years is represented by the function below:

f(x) = 0.69(1.03)x

Part A: Is the price of product A increasing or decreasing and by what percentage per year? Justify your answer. (5 points)

Part B: The table below shows the price f(t), in dollars, of product B after t years:


t (number of years) 1 2 3 4
f(t) (price in dollars) 10,100 10,201 10,303.01 10,406.04


Which product recorded a greater percentage change in price over the previous year? Justify your answer. (5 points)

Answers

Answer:

A)  3%

B)  Product A

Step-by-step explanation:

Exponential Function

General form of an exponential function: [tex]y=ab^x[/tex]

where:

a is the initial value (y-intercept)b is the base (growth/decay factor) in decimal formx is the independent variabley is the dependent variable

If b > 1 then it is an increasing function

If 0 < b < 1 then it is a decreasing function

Part A

Product A

Assuming the function for Product A is exponential:

[tex]f(x) = 0.69(1.03)^x[/tex]

The base (b) is 1.03.  As b > 1 then it is an increasing function.

To calculate the percentage increase/decrease, subtract 1 from the base:

⇒ 1.03 - 1 = 0.03 = 3%

Therefore, product A is increasing by 3% each year.

Part B

[tex]\sf percentage\:change=\dfrac{final\:value-initial\:value}{initial\:value} \times 100[/tex]

To calculate the percentage change in Product B, use the percentage change formula with two consecutive values of f(t) from the given table:

[tex]\implies \sf percentage\:change=\dfrac{10201-10100}{10100}\times 100=1\%[/tex]

Check using different two consecutive values of f(t):

[tex]\implies \sf percentage\:change=\dfrac{10303.01-10201}{10201}\times 100=1\%[/tex]

Therefore, as 3% > 1%, Product A recorded a greater percentage change in price over the previous year.

Although the question has not asked, we can use the given information to easily create an exponential function for Product B.

Given:

a = 10,100b = 1.01n = t - 1 (as the initial value is for t = 1 not t = 0)

[tex]\implies f(t) = 10100(1.01)^{t-1}[/tex]

To check this, substitute the values of t for 1 through 4 into the found function:

[tex]\implies f(1) = 10100(1.01)^{1-1}=10100[/tex]

[tex]\implies f(2) = 10100(1.01)^{2-1}=10201[/tex]

[tex]\implies f(3) = 10100(1.01)^{3-1}=10303.01[/tex]

[tex]\implies f(4) = 10100(1.01)^{4-1}=10406.04[/tex]

As these values match the values in the given table, this confirms that the found function for Product B is correct and that Product B increases by 1% per year.

Select the correct answer.
What is √x^9y^4
in simplest form?

Answers

Answer:

x^3y^2

Step-by-step explanation:

[tex]\sqrt{x^9y^4}\\ =\sqrt{x^9}\sqrt{y^4}\\ = x^3y^2[/tex]

the gomez family drove 476 miles in 7 hours. what was their average speed, in miles per hour?

Answers

The average speed is 68 miles per hour

How to determine the average speed?

The given parameters are:

Distance = 476 miles

Time = 7 hours

The average speed is calculated as:

Speed = Distance/Time

So, we have:

Speed = 476 miles/7 hours

Evaluate

Speed = 68 miles per hour

Hence, the average speed is 68 miles per hour

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Simplify 8 − (14). plsss help

Answers

Answer:

(-6)

Step-by-step explanation:

Integer subtraction:

If two numbers have different sign, subtract and the result will have the sign of the bigger number.

 8 - 14 = (-6)

Subtract 8 from 14 and the bigger number is 14 and sign of 14 is (-).

So, the answer is  (-6)

what are the true statements

Answers

D and C are true statements

1.Simplify using suitable properties
(i) 13−51+2

Answers

Answer:

This is my answer:

Step-by-step explanation:


Here's a graph of a linear function. Write the
equation that describes that function.
Express it in slope-intercept form

Answers

Answer:

y = 3/4x + 2

Step-by-step explanation:

let me know if you want an explanation :))

Which pyramid has a greater volume, and how much greater is its volume? A rectangular pyramid on the left with a base of 7 inches by 6 inches and height of 3 inches. A rectangular pyramid on the right with a base of 4 inches by 3 inches and a height of 10 inches. The volume of the pyramid on the left is greater by 2 inches cubed. The volume of the pyramid on the left is greater by 6 inches cubed. The volume of the pyramid on the right is greater by 2 inches cubed. The volume of the pyramid on the right is greater by 6 inches cubed

Answers

The volume of the pyramid on the left is greater by 8 inches cubed

We have given that,

A rectangular pyramid on the left with a base of 7 inches by 6 inches and a height of 3 inches.

A rectangular pyramid on the right with a base of 4 inches by 3 inches and a height of 10 inches.

The volume of the pyramid on the left is greater by 2 inches cubed. The volume of the pyramid on the left is greater by 6 inches cubed.

The equation for finding the volume of a pyramid is,

What is the volume of a pyramid?

lwh/3

when you input the values of the two pyramids into this equation you get the left pyramid having a volume of 128 inches cubed and the right pyramid having a volume of 120 inches cubed.

Therefore, 128 - 120 = 8

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Estimate the value of
0.581 -0.246

Answers

0.335 this should be the answer

The value of expression is,

⇒ 0.335

What is mean by Subtraction?

Subtraction in mathematics means that is taking something away from a group or number of objects. When you subtract, what is left in the group becomes less.

Given that;

The expression is,

⇒ 0.581 - 0.246

Now,

Since, The expression is,

⇒ 0.581 - 0.246

After subtraction we get;

⇒ 0.581 - 0.246

⇒ 0.335

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The table shows the probabilities of certain prizes in a restaurant’s contest where the first 100 customers are winners.

A 2-column table with 6 rows. The first column is labeled prize with entries 1 dollar drink, 5 dollar meal, 5 dollar gift card, 10 dollar gift card, 20 dollar gift card, 100 dollar gift card. The second column is labeled number of prizes with entries 44, 25, 16, 10, 5, 1.
How does the $100 gift card affect the measure of center of the data?

Answers

A mean is an arithmetic average of a set of observations.

The correct option is (A).

What is Mean?

A mean is an arithmetic average of a set of observations.

Mean = (Sum of observations)/Number of observations

As, the median is the middle value.

Thus, the median will not be changed.

As, the mean is the arithmetic average.

So, the $100 gift will increase the mean value of the prizes.

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Answer:

A

Step-by-step explanation:

If the price of an apple is Rs. 40, find the number of apples that can be brought for Rs. 200. ​

Answers

Answer:

5

Step-by-step explanation:

Divide 200 by 40 to get 5.

Answer:

ig 5 Apples can be Brought with Rs. 200

Step-by-step explanation:

Rs. 40 = 1 apple

Rs. 200 = ? Apple

therefore 5 apples can be brought...

Hope it Helps!!!

6.11.4 Test(TST): Circles Without Coordinates). The questions are in the document.

Answers

The value of AOB and BOC based in the information given in the circle will be 53°.

How to calculate the values in the circle?

From the information given, the central angle is the angle that the vertex is at the center of the circle.

It was stated that OB bisects AOC. Therefore, since AOB is 53°, BOC is also 53°.

The value of AOC will now be:

= AOB + BOC

= 53° + 53°

= 106°

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The proportional relationship between two variables, y and z, is represented by y = 11/2z. What is the constant of proportionality from z to y?

Answers

Answer:

Step-by-step explanation:

Comment

The constant you want is just the reciprocal of the constant you have been given. You can show it this way

y = 11/2 z               Multiply both sides by 2

2y = 11z                 Divide both sides by 11

Answer

2/11 y = z

Angle QRS is bisected by ray RP. If angle QRP is 60 degrees, what would be the measure of angle QRS?​

Answers

Answer:

6779

Step-by-step explanation:

69

What is the vertex of the function f(x)=|x-9|+2

Answers

Answer:

vertex = (9, 2 )

Step-by-step explanation:

given the absolute value function

f(x) = a |x - h | + k

with vertex = (h, k )

then

f(x) = | x - 9 | + 2

has vertex = (9, 2 )

The graph shows the prices of different numbers of bushels of corn at a store in the current year. The table shows the prices of different numbers of bushels of corn at the same store for the previous year.

Part A: Describe in words how you can find the rate of change of a bushel of corn in the current year, and find the value. (5 points)
Part B: How many dollars more is the price of a bushel of corn in the current year than the price of a bushel of corn in the previous year? Show your work. (5 points)

Answers

#1

Take any two points

(3,24)(6,48)

Slope

m=48-24/6-3m=24/3m=8

#2

(3,21)(6,42)

Slope:-

m=42-21/6-3m=21/3m=7

Difference

1$

Answer:

Part a you find the rate of change by finding the slope of the line the value is 8 it is (y2-y1)/(x2-x1) 48-24/6-3=24/3=8

Part b current year is 8 dollars a bushel and previous year is 7 dollars

Step-by-step explanation:

another equation for y = 8x + 7

Answers

Linear function is the other equation

How many solutions for x does the following equation have?

3(x + 8) − 1 = 3x + 4

A.
4
B.
1
C.
0
D.
infinite

Answers

Answer:

c. 0

Step-by-step explanation:

3(x+8) - 1 = 3x+4

3x+24-1 = 3x+4

3x+23 = 3x+4

There are no solutions since both equations have the same slope meaning they are parallel and they will never intersect since they have different y-intercepts.

light a flashes every 5 seconds Light b flashes every 6 seconds light c flashes every 7 seconds work out how long it will take for all of them to flash

Answers

Answer:

210 seconds

Step-by-step explanation:

LCM of 5,6 and 7

I need help asp. Identifying Geometric Figures.

Answers

Answer:

The angle created by OX and OZ is angle XOZ

The two rays that create YOX are ray OX and ray OY

The center of the circle is point O

Step-by-step explanation:

The image attached below shows a circle with a center at point O at which several rays meet to form the following angles, namely:

ray OX and ray OZ meet at center O to form angle XOZ.

ray OX and ray OY meet at the center O to form angel YOX.

Therefore:

The angle created by rays OX and OZ is <XOZ

The two rays that created <YOX are: OX and OY

The center of the circle is point O.

I hope this is helpful.

The graph of which function has a minimum located at (4, –3)?

f(x) = one-halfx2 + 4x – 11
f(x) = –2x2 + 16x – 35
f(x) = one-halfx2 – 4x + 5
f(x) = 2x2 – 16x + 35

Answers

The parabola with the minimum at (4, -3) is the third option:

[tex]y = 0.5*x^2 - 4x + 5[/tex]

Which of the given parabolas has a minimum at (4, -3)?

Remember that for a parabola of the form:

[tex]y = a*x^2 + b*x + c[/tex]

If a > 0, the minimum is at the x-value of the vertex:

[tex]x = \frac{-b}{2a}[/tex]

If a < 0, there is no minimum (so we discard option 2).

Taking the third option:

[tex]y = 0.5*x^2 - 4x + 5[/tex]

The x-value of the vertex is:

[tex]x = \frac{-(-4)}{2*0.5} = 4[/tex]

As expected.

To get the y-value of the vertex (and minimum) we just evaluate the parabola equation in x = 4.

[tex]y = 0.5*(4)^2 - 4*4 + 5 = -3[/tex]

So the minimum is at (4, -3), as expected, so that is the correct option.

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Can someone help me with question 3? I like to see the working and answer on paper, that would be more helpful, I’m in a hurry

Answers

The steps to draw all the three angles have been explained.

What is an Angle ?

An angle is made by two rays that have one common end point known as vertex.

To make an angle congruent to the one given , the angle has to be copied

For making both ∠XYZ and∠ UVW , following steps will be followed.

Draw two rays separately and name it YZ and VW .Take a compass and draw a free hand arc from the point B and E and with the same measure draw a free hand arc from the point Y and V respectively.Take the compass to the angle ABC and DEF again , from the point where the arc intersects BC and EF , cut an arc on the ray AB and DE .With the same measure , keep the compass on the point the free hand arc intersected on the ray YZ and VW , cut the arc by the new arc .The point where both the arc intersects will be joined form the end points , Y and V , to form an angle.The angle formed will be copy of ∠ABC and∠ DEF

Now to draw RST = ABC  + DEF

Draw the angle ABC and repeat the steps to draw DEF taking , AB ray as the base of the angle.

       The angle obtained will be RST.

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A projector was sold after allowing 10% discount on the marked price and levying 13% VAT .If the selling price of the projector after discount is Rs 5,850 , less than its selling price with VAT, find the marked price of the projector.​

Answers

The marked price of the projector is $50,000.

What is the marked price?

The price of the projector after the discount can be represented with:

(100 - 10%)x - 90%x = 0.90x

Where x is the marked price

The price of the projector after the VAT is : (1.13) x 0.90x = 1.02x

Difference in price = 1.02x - 0.90x = 5850

0.12x = 5850

x = 5850 / 0.12

x = $50,000

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Can someone help with this pls

Answers

c is the awnser!!

i took the test and it was correct

Answer:

This is C

Step-by-step explanation:

The slope is 4, meaning the integers are 4, 8, 12, 16, 20 etc. But then the last point is seen to be 40, meaning the answer is C because it is from 0-40 with a slope of 4.

The largest number of Oscars received by a film in year X was 4. This was different in previous years. Below is a probability distribution for the number of Oscars per Oscar winning film. What is the standard deviation of this distribution

Answers

The standard deviation of the given discrete distribution, considering it's formula, is of 1.195.

How to find the mean and the standard deviation of a discrete distribution?

The mean is given by the sum of the multiplications of each outcome by it's probability.The standard deviation is given by the square root of the sum of the squares of each outcome subtracted by the mean, multiplied by it's probability.

Researching this problem on the internet, the distribution is given by:

P(X = 1) = 0.56.P(X = 2) = 0.23.P(X = 3) = 0.11.P(X = 4) = 0.05.P(X = 5) = 0.03.P(X = 6) = 0.02.

Hence the mean is given by:

E(X) = 0.56(1) + 0.23(2) + 0.11(3) + 0.05(4) + 0.03(5) + 0.02(6) = 1.82.

The standard deviation is:

[tex]\sqrt{V(X)} = \sqrt{0.56(1-1.82)^2+0.23(2-1.82)^2+0.11(3-1.82)^2 + \cdots + 0.02(6-1.82)^2} = 1.195[/tex].

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3 - what = 11

please help with this one

Answers

So we can set up a simple equation for this, where the word “what” is a variable, x. This equation is 3 - x=11. Then we subtract 3 from both sides, giving us -x=8. We can divide both sides by -1, giving us x=-8. The answer would be -8. Hope this helped.
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