PLEASE I NEED THIS ASAP ITS SO MUCH POINTS

The simplified form of the expression \(81x^6 - (y + 1)^2\) in terms of U and V is 729x^6 - V^2.

In this question, we are given specific values for U and V and asked to express the given expression in terms of those values.

To simplify the expression using the given values, we substitute \(U = 3x^3\)and V = y + 1 into the original expression:

\(81x^6 - (y + 1)^2\)

Replacing U and V:

\(81(3x^3)^2 - (V)^2\)

Simplifying:

\(81 \times 9x^6 - V^2\)

\(729x^6 - V^2\)

Therefore, the simplified form of the expression \(81x^6 - (y + 1)^2\) in terms of U and V is\(729x^6 - V^2.\)

In this way, we can represent the original expression in a simplified form using the assigned values for U and V.

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Consider the expression: \(81x^6 - (y + 1)^2\)

If\(U = 3x^3\) and V = y + 1, what is the simplified form of the expression in terms of U and V?

In this question, we are given specific values for U and V and asked to express the given expression in terms of those values.

Answer:

The volume would be 3,421.19m

Answer:

A

Step-by-step explanation:

A control system where the output variable is compared with an input parameter, and their difference is used to drive the output is called closed-loop control.

In closed-loop control, the output of the system is constantly compared to a desired setpoint, and any differences between the two are used to adjust the system's behavior to reduce or eliminate the error. This type of control system is also known as feedback control, and it is widely used in many different applications, including process control, robotics, and automatic temperature regulation. In contrast, open-loop control does not have feedback or error correction, and the output of the system is determined solely by the input parameters, without regard to the actual output of the system.

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The given statement "in a group of fifty (50) people, there must be at least 5 people who were born in the same month." is True because this statement can be proven using the Pigeonhole Principle.

The Pigeonhole Principle states that if there are n items and m containers (where n > m), at least one container must hold more than one item.

In this case, the 50 people are the items, and the 12 months of the year are the containers. We can divide the people into groups based on their birth month. Since there are more people (50) than months (12), at least one month must have more than one person born in it.

To find the minimum number of people born in the same month, divide the number of people by the number of months: 50 / 12 ≈ 4.17. Since we cannot have a fraction of a person, we round up to the nearest whole number, which is 5.

Therefore, in a group of 50 people, there must be at least 5 people who were born in the same month.

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Answer:

MJK=90

MJL=63

JLK=63

KML=27

MNL=126

Step-by-step explanation:

If this is a perfect rectangle, then I should be correct:

Each angle of a rectangle is 90 degrees, so MJK is 90

Since we know angle KJL is 27, and MJK is 90, just subtract them to get 63.

Angle JLK should be equal to angle MJL so it is also 63

Angle KML should be equal to angle KJL so it would also be 27

And finally, angle JKN should be 27 so 27+27=54. And since all angles of a triangle add up to 180, you can get angle MNL by subtracting 180-54 to get 126 because angle MNL and JNK/KNJ are equal to each other

Solution

where:

F=future value = 45000

P=present value

r=rate (as a decimal) = 7%=0.07

n=number of compounding periods per year = 1

t=number of years = 6

Therefore the present value deposited today = $29,985.40

Answer:

if it is x-5, and y +3 than

a = -2,3

b = -1,5

c = -4,6

Step-by-step explanation:

if we are going in a

(x,y)

order and x-5, and y +3, than this should be correct.

The time taken for the water level in the tank to drop from 3 to 0.5 meters above the bottom cannot be determined without additional information.

To calculate the time taken, we need to know the flow rate or discharge rate of the water from the tank. This information is not provided in the question. The time taken to drain the tank depends on factors such as the diameter of the outlet pipe, the pressure difference, and any restrictions or obstructions in the flow path.

If we assume a known discharge rate, we can use the principles of fluid mechanics to calculate the time. The volume of water that needs to be drained is the difference in the volume of water between 3 meters and 0.5 meters above the bottom of the tank. The flow rate can be determined using the pipe diameter and other relevant factors. Dividing the volume by the flow rate will give us the time taken.

However, since the discharge rate is not given, we cannot perform the calculation and determine the time taken accurately.

Without knowing the discharge rate or additional information about the flow characteristics, it is not possible to calculate the time taken for the water level in the tank to drop from 3 to 0.5 meters above the bottom.

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ANSWER: 150

Step-by-step explanation:

2/3 of 450 is 300

450-300=150

Answer:

  $12300

Step-by-step explanation:

You want to know the amount loaned at 7% if $19000 loaned at 7% and 17% earns $2000 in one year.

The interest on an investment P at rate r for t years is ...

  I = Prt

The sum of the amounts of interest on a 7% investment of x and a 17% investment of (19000 -x) is given as 2000:

  0.07x +0.17(19000 -x) = 2000

  -0.10x +3230 = 2000 . . . simplify

  1230 = 0.10x . . . . . . . . . . add 0.10x -2000

  12300 = x . . . . . . . . . . . . divide by 0.10

The amount loaned at 7% was $12,300.

The expression holds true for any such distribution with a symmetric probability density function.

Given the expression Σ₁ (X; -x) = 0 for i=1, where X is a random variable, Exi is the expected value of X, L is the lower limit of X, and n represents the number of values that X can take.

This expression means that the sum of the probability of X being greater than or equal to x minus the probability of X being less than or equal to negative x is equal to zero. In other words, the area under the probability density function of X from negative x to x is equal to 0. This is a property of any symmetric probability distribution, where the mean (Exi) is at the center of the distribution and the probabilities on either side of the mean cancel each other out. Therefore, the expression holds true for any such distribution with a symmetric probability density function.

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Prove that Σ₁ (X; -x) = 0 i=1 Where: In Exi L n

The given sentence "1024 is the smallest four-digit number that is a perfect square" is true because it is the square of 32.

A perfect square is a number that is the product of two equal integers. It's the product of an integer multiplied by itself. A perfect square is a number that can be expressed as the product of a number and itself. For example, 9, 16, 25, and 36 are perfect squares.

It follows that the square root of a perfect square is a whole number because the product of two equal integers is an integer.

Identify the range of four-digit numbers. Four-digit numbers are those that range from 1000 to 9999.

To check if 1024 is the smallest four-digit perfect square, we should examine whether the smallest perfect square between 1000 and 9999 is 1024. If we square 32, we get 1024, which means that 1024 is a perfect square.

As a result, the statement "1024 is the smallest four-digit number that is a perfect square" is true.

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Answer:

no solution

Step-by-step explanation:

3x - 4 = 3x - 10

Subtract 3x from each side

3x-3x - 4 = 3x-3x - 10

-4 = -10

This is never true so there is no solution

Answer:

Step-by-step explanation:

I think you might have copied down the problem incorrectly.

If you try and solve this problem by moving the variables onto one side and the constants onto the other, you get:

3x-4=3x-10

   +10    +10

3x+6=3x

-3x     -3x

6=0 (which is FALSE)

Hope this helps!

P.S. Please give me brainliest. Thanks :)

Answer:

5%

Step-by-step explanation:

so basically we know in 3 years she spent 390 dollars

so 390 divided by 3 is 130

so all we need to do is find this:

130 is what percent of 2600

so the final answer is 5%

This means that when all 8 parts are arranged in a single row, probability there are 28 different conceivable configurations. Finley can have 4 red and 4 black, 5 red and 3 black, 6 red and 2 black, or 7 red and 1 black, depending on the quantity of red and black pieces.

Finley features eight game pieces, each of which is entirely either all red or all black and simply differs in colour. This indicates that there are 28 distinct configurations that may be made using the 8 pieces arranged in a single row. Finley could have 4 red and 4 black, 5 red and 3 black, 6 red and 2 black, or 7 red and 1 black, depending on the quantity of red and black pieces. This is due to the fact that the 8 pieces can be arranged in a variety of ways, and each arrangement will be deemed distinct as long as it contains at least one red and one black piece. For instance, the configuration could be as follows if there are 4 red and 4 black pieces: If there are four red pieces and four black pieces, for instance, the arrangement might be either black-red-black-red-black-red-red or red-black-red-black-red-black. No matter the configuration, there are a total of 28 arrangements.

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Step-by-step explanation:

do u mean what is value of r ???

The Tukey's "honestly significant difference" test is a post-hoc test.What is a post-hoc test?In statistics, a post-hoc test is a statistical test conducted after another test that has yielded statistical significance has been conducted.

The post-hoc test may be utilized to discover which group or groups within a larger population are responsible for the statistical significance of the findings.

The Tukey's "honestly significant difference" test is a post-hoc test which compares all possible pairs of means in a sample and determines if there is a statistically significant difference between them. It is frequently used in conjunction with one-way ANOVA and is useful in identifying where significant differences exist between groups when the ANOVA determines that a statistically significant difference exists. The "150" you mentioned is not relevant to the question and has not been used anywhere in the context.

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Answer:

the answer is B.FALSE

Step-by-step explanation:

hope it helps

Step-by-step explanation:

the answer is in the above image

Answer:

61°

Step-by-step explanation:

(x+18)°=(4x-15)°alternate angles, because BC is parallel to AD

x°+18°=4x°-15°

18°+15°=4x°-x°

33°=3x°

33°/3°=3x°/3°

11=x

angle ABD

90°-(x+18)°. the sides of a rectangle meet at 90°

90°-(11+18)°

90°-(29)°

90°-29°

61°

Correct option is A,  f(x) -2 has changed the parent function f(x) = (0.5)x to its new appearance.

The parent function f(x) = log5x has been modified by reflecting it over the x-axis, extending it vertically by a factor of three, and moving it down by three units.

In the picture below you can see the blue line is the graph of the function

f(x) = log(5x) and the green line is the graph of the function

g(x) = log[5(x + 4)] - 2

Since the function f passes at point (2, 1), we must reduce it by 2 units to ensure that it also passes at position (-2, -1). To do this, we add 2 to the function f.

We only need to add 4 to the variable x to have the function go left when we obtain log(5x) - 2.

The function shifts to the left when you add a number to x;

The function moves to the right when you remove a number from x;

The function increases when you add a number to it;

The function decreases when you take a number away from it.

Then we get a function g(x) = log[5 (x + 4)] - 2.

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Answer:

D has the coordinate 17

Step-by-step explanation:

Given

DE  has as the mid point H at 5

D > E

DE = 24

Find the coordinate of D

5 + (24/2) = 5+12 = 17

Biased, because some students may not like that color, and thus going off of the most popular opinion is only supporting the most popular color. Adding onto that, not every student even gets to vote since it is only every 4th student.

Answer:

-5

Step-by-step explanation:

y=mx+b is the slope intercept formula.

m is the slope.

Answer:

slope = - 5

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = - 5x - 1 ← is in slope- intercept form

with slope m = - 5

Solving a system of equations we can see that each pair of pants costs €82.94 and each coat costs €26.37

Let's define the variables:

x = cost of a pant

y = cost of a coat.

First, we know that:

3x + 2y = 245

And then there are discounts of 20% and 5%, and the cost of one of each is 100.75, then:

0.8x + 0.95y = 100.75

Then we have a system of equations:

3x + 2y = 245

0.8x + 0.95y = 100.75

We can isolate x on the second equation to get:

x = (100.75 - 0.96y)/0.8

x = 125.9 - 1.2y

Replace that in the other equation:

3*(125.9 - 1.2y) + 2y = 245

Solving for y:

3*125.9 - 3*1.2y + 2y = 245

y*(2 - 3*1.2) = 245 - 3*125.9

y = (245 - 3*125.9)/(2 - 3*1.2)

y = 82.94

Then the value of x is:

x = 125.9 - 1.2*82.94

x = 26.37

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The correct statement of function is the function is continuous.

In mathematics, a function is an expression, rule, or law that establishes the relationship between an independent variable and a dependent variable. In mathematics, functions exist everywhere, and they are crucial for constructing physical links in the sciences.

As, functions approach the same value as x approaches 0.

Now, -x² +4x +1 at x= 2 we get

= -4 + 8 +1 = 5

and, 1/2x + 3 = 1+3= 4

So, we reject the statement.

Now, as x increases without bound,

1/2x +3 increases with bound.

Therefore the statement B is true statement.

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Answer:

35 seconds

Step-by-step explanation:

At negative values he is inside the volcano,  when he reaches 0 he will be at the top of the volcano

At 35 seconds, the elevation is 0, so he is at the top of the volcano

The number of points on the graph of y = f(x) that have a horizontal tangent line is 1.The value of x at which f(x) has a horizontal tangent line is 15/2.

For the given equation y=(x​+5)(x4−9),

we need to find an equation for the line tangent to the curve at x=1.

As per the given equation,

y=(x​+5)(x4−9)

y=x⁴+5x³-9x+45x⁴+5x³-9x+45

y' = 4x³+15x²-9

Now, put x = 1 in y', we get:

y'(1) = 4(1)³+15(1)²-9

      = 4+15-9

      = 10

Hence, the slope of tangent to the curve at x = 1 is 10.

Now, we have a point (1, -64) and slope 10, use point slope form:

y-y₁=m(x-x₁)y-(-64)

     = 10(x-1)y

     = 10x - 74

Therefore, the equation of the line tangent to the curve

y=(x​+5)(x4−9) at x=1 is

y = 10x - 74

Moving to the second part of the question, Consider the function

f(x)=x²−15x+4​.

Now, find f'(x) first:

f'(x) = 2x-15

Now, for horizontal tangent lines, f'(x) = 0.

Hence:

2x-15 = 0

x = 15/2

Hence, the only point on the graph of y = f(x) that has a horizontal tangent line is (15/2, -161/4)

Therefore, the number of points on the graph of y = f(x) that have a horizontal tangent line is 1.The value of x at which f(x) has a horizontal tangent line is 15/2.

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