I need help solving this ​

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.

For similar question on expression.

https://brainly.com/question/723406

#SPJ8

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:

82cm

Step-by-step explanation:

26+26+15+15=82

Answer:

17 Gallons!

Step-by-step explanation:

first you are going to want to divide 308 by 7 to get how many miles you can go per gallon

308/7=44

then you are going to divide 748 by 44

748/44=17

I Hope This Helped!!!!

Answer:

The two digit number could be 43 or 34.

Step-by-step explanation:

Let xy be the two digit number

xy = 12

x = 12/y   ---equation 1

x + y = 7   ---equation 2

Plug in equation 1 to equation 2

x + y = 7

(12/y) + y = 7

Multiply the whole equation by y

12 + y² = 7y

Transpose

y² - 7y + 12 = 0

(y - 4)(y - 3) = 0

y - 4 = 0

y = 4

y - 3 = 0

y = 3

When y = 4 Substitute the value to equation 1

x = 12/y

x = 12/4

x = 3

When y = 3

x = 12/3

x = 4

Since 2 values of x and 2 values of y satisfy the conditions then the number is either 43 or 34.

The second container can hold approximately 1715 m³ of liquid.

Two containers have exactly the same shape, we can use their height ratio to determine the liquid capacity ratio.

Let's denote the height of the first container as H1 = 20 m and its liquid capacity as C1 = 320 m³.

We want to find the liquid capacity of the second container, C2, given its height H2 = 35 m.

The ratio of the heights is H2 / H1 = 35 m / 20 m = 7/4.

The ratio of the liquid capacities is equal to the ratio of the volumes, since the containers have the same shape. Therefore, we have:

C2 / C1 = (H2 / H1)³

Substituting the given values:

C2 / 320 m³ = (7/4)³

Simplifying the exponent:

C2 / 320 m³ = 343 / 64

To find C2, we can cross-multiply:

C2 = (343 / 64) × 320 m³

Calculating the result:

C2 ≈ 1715 m³

Therefore, the second container can hold approximately 1715 m³ of liquid.

To know more about container click here:

https://brainly.com/question/430860

#SPJ4

The question is incomplete the complete question is :

two containers are used to hold liquid. these containers have exactly the same shape. the first container has a height of 20 m, and it can hold 320 m³ of liquid. if the second container has a height of 35 m, how much liquid can it hold?

For x = 1.648, the mentioned logarithmic functions f(x) and quadratic g(x) are comparable.

Now, the functions that are provided with in question are

f(x) = ㏒₃ 2x

g(x) = -4x² + 3x + 7

Desmos was used to create the graphs for both of the functions.

The graph unequivocally demonstrates that both functions are still equal at the time of curve convergence.

At the point x = 1.648, f(x) = g.(x).

Both the functions f(x) and g(x) are therefore equivalent for x = 1.648.

To know more about the logarithmic function, here

https://brainly.com/question/3494421

#SPJ1

a. The probability that one of the selected adults wears glasses is 0.323.

b. The expected number of adults not wearing glasses in this selection is 4.

c. The probability that more than three but no more than five of the selected adults will not be wearing glasses is 0.451.

d. The standard deviation of the number of adults not wearing glasses in this selection is 1.385.

(a) To find the probability that one of the selected adults wears glasses, we can use the binomial distribution formula:

P(X = k) = \({}^nC_k\) × \(p^k\) × \((1-p)^{(n-k)}\)

where n is the number of trials (in this case, 10), k is the number of successes (in this case, 1), p is the probability of success (in this case, 0.6), and (1-p) is the probability of failure (in this case, 0.4).

Substituting these values, we get:

P(X = 1) = \({}^nC_k\) × \(0.6^1\) × \(0.4^9\)

= 10 × \(0.6^1\) × \(0.4^9\)

= 0.323

So the probability that one of the selected adults wears glasses is 0.323.

(b) To find the expected number of adults not wearing glasses, we can use the formula:

E(X) = n × (1 - p)

where n is the number of trials (in this case, 10) and p is the probability of success (in this case, 0.6).

Substituting these values, we get:

E(X) = 10 × (1 - 0.6)

= 4

So the expected number of adults not wearing glasses is 4.

(c) To find the probability that more than three but no more than five of the selected adults will not be wearing glasses, we can use the binomial distribution formula again:

P(3 < X < 6) = P(X = 4) + P(X = 5)

Substituting the values using the formula, we get:

P(X = 4) = 10 choose 4 × \(0.4^4\) × \(0.6^6\)

= 210 × \(0.4^4\) × \(0.6^6\)

= 0.250

P(X = 5) = 10 choose 5 × \(0.4^5\) × \(0.6^5\)

= 252 × \(0.4^5\) × \(0.6^5\)

= 0.201

Therefore,

P(3 < X < 6) = P(X = 4) + P(X = 5)

= 0.250 + 0.201

= 0.451

So the probability that more than three but no more than five of the selected adults will not be wearing glasses is 0.451.

(d) To find the standard deviation of the number of adults not wearing glasses, we can use the formula:

SD(X) = √(n × p × (1 - p))

Substituting the values, we get:

SD(X) = √(10 × 0.6 × 0.4)

= 1.385

So the standard deviation of the number of adults not wearing glasses is 1.385.

Learn more about the probability at

https://brainly.com/question/30034780

#SPJ4

Answer:

$18 less than the cost of 5 hot dog combos

Step-by-step explanation:

First, we see from the minus sign that this will be subtraction.  PEMDAS (order of operations) says we do the multiplication first, then the subtraction.

Answer: its D. 52 cm

Step-by-step explanation: Just got it good

Answer:

20 teachers

Step-by-step explanation:

plato ofc

Even though the first student scored 150, the expected average IQ score for the remaining four students is still 100.

Explain average

The average is a statistical measure that represents the central tendency of a set of values. It is calculated by adding up all the values and dividing them by the total number of values. The average provides a single value that represents the typical value in the set and is often used to compare different sets of data or to summarize large amounts of data.

According to the given information

Let X be the random variable representing the IQ score of an individual student. Then, the sample mean of the five students, denoted by Y, can be expressed as:

Y = (X1 + X2 + X3 + X4 + X5) / 5

Given that the first student scored 150, the expected value of the sample mean of the remaining four students, denoted by E(Y|X1=150), can be calculated as follows:

E(Y|X1=150) = E((X2 + X3 + X4 + X5) / 4 | X1 = 150)

Since X1 = 150 is an observed value, we can treat it as a constant and apply the linearity of expectation:

E((X2 + X3 + X4 + X5) / 4 | X1 = 150) = (E(X2 | X1 = 150) + E(X3 | X1 = 150) + E(X4 | X1 = 150) + E(X5 | X1 = 150)) / 4

Now, since the sample is random, the remaining four IQ scores are also independent and identically distributed as X, with the same mean of 100. Therefore, we have:

E(X2 | X1 = 150) = E(X3 | X1 = 150) = E(X4 | X1 = 150) = E(X5 | X1 = 150) = E(X)

Thus, we can simplify the expression as:

E(Y|X1=150) = (4E(X) / 4) = E(X) = 100

To know more about average visit

brainly.com/question/27193544

#SPJ1

Answer:

The answer is 2

Step-by-step explanation:

The given terms in the question can be added by collecting like terms. So that the addition is:

8\(x^{2}\) + 5xy -5\(y^{2}\)

The addition of terms involve adding like terms so as to simplify the final expression.

Thus considering the terms in the given question, the addition would give:

(8\(x^{2}\) + 7xy - 6\(y^{2}\)) + (4

open the brackets and collect like terms to have;

8\(x^{2}\) + 7xy - 6\(y^{2}\) + 4

8\(x^{2}\) + 4

8\(x^{2}\) + 5xy -5\(y^{2}\)

Therefore on adding the given terms, the expression derived as answer is:

8\(x^{2}\) + 5xy -5\(y^{2}\)

Visit: https://brainly.com/question/16629760

Here is ur answer

- BRAINLIEST ANSWERER

They used 33/100 of their money on equipment which means if they have a budget of 900 dollars they used...

900*33/100=9*33=297 dollars on equipment.

The amount used on equipment is $297.

The percentage means the required value out of 100.

It is calculated by dividing the required value by the total value and multiplying it by 100.

The percentage change is also calculated using the same method.

In percentage change, we find the difference between the values given.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

We have,

Budget = $900

Percentage of the budget used.

= 33%

Now,

The amount of budget used.

= 33% of 900

= 33/100 x 900

= $297

Thus,

The amount used on equipment is $297.

Learn more about percentages here:

https://brainly.com/question/11403063

#SPJ6

Two two numbers whose difference is 88 and whose product is a minimum are -44 and 44.

Let the numbers be x and y where x is larger value and y is smaller number.

According to ques,

x - y =88

and we need to make product of numbers i.e 'xy' minimum.

So we can take x = 88 + y ------(2)

substituting value of x in xy, we get

(88 + y) (y) = y² + 88y ------(1) to make it minimum we need to equate its derivative equal to zero.

derivative of  (1) is 2y + 88

Equating it to zero, we get

2y + 88 = 0

subtracting 88 from both sides, we get

2y = -88

Dividing 2 from both sides, we get

y = -44 ------(3)

Substituting value of y from (3) in (2), we get

x = 88 - 44

x = 44

So, we get value of x as 44 and y as -44 to get their product as minimum.

Learn more about word problem here:

https://brainly.com/question/1553954

#SPJ4

The domain of the function \(f(x) = \sqrt{\frac{1}{3}x + 2\) is (d) x  ≥ -6

From the question, we have the following parameters that can be used in our computation:

\(f(x) = \sqrt{\frac{1}{3}x + 2\)

Set the radicand greater than or equal to 0

So, we have

1/3x + 2 ≥ 0

Next, we have

1/3x  ≥ -2

So, we have

x  ≥ -6

Hence, the domain of the function is (d) x  ≥ -6

Read more about domain at

https://brainly.com/question/31900115

#SPJ1

The recursive formula for Lindsey's scores is aₙ = aₙ₋₁ \(\times\) r, and the explicit formula is aₙ \(= 67 \times r^{(n-1).\)

To find the recursive and explicit formulas for the given geometric sequence, let's analyze the pattern of Lindsey's scores.

From the given information, we can observe that Lindsey's scores are increasing at the same rate.

This suggests that the scores form a geometric sequence, where each term is obtained by multiplying the previous term by a common ratio.

Let's denote the first term as a₁ = 67 and the common ratio as r.

Recursive Formula:

In a geometric sequence, the recursive formula is used to find each term based on the previous term. In this case, we can write the recursive formula as:

aₙ = aₙ₋₁ \(\times\) r

For Lindsey's scores, the recursive formula would be:

aₙ = aₙ₋₁ \(\times\) r

Explicit Formula:

The explicit formula is used to directly calculate any term of a geometric sequence without the need to calculate the previous terms.

The explicit formula for a geometric sequence is:

aₙ = a₁ \(\times r^{(n-1)\)

For Lindsey's scores, the explicit formula would be:

aₙ \(= 67 \times r^{(n-1)\)

In both formulas, 'aₙ' represents the nth term of the sequence, 'aₙ₋₁' represents the previous term, 'a₁' represents the first term, 'r' represents the common ratio, and 'n' represents the term number.

For similar question on recursive formula.

https://brainly.com/question/31157431  

#SPJ8

Answer 8.1

Step-by-step explanation:

3 x 9 x 0.3 = 8.1

Since, Alice ate 5 cookies and 2 carrots for a total of 590 calories; bob ate 3 cookies and 4 carrots for a total of 410 calories. Therefore, In a cookie there are 110 calories.

A calorie is a unit of energy that food and drink provide. we can usually find out how many calories are listed in foods, and wearables like the best fitness trackers let you monitor how many calories you're burning in different activities. Certain foods, such as processed foods, tend to be high in calories. Other foods, such as fresh fruits and vegetables, tend to be low in calories. there is not. Calories are needed to give you enough energy to move, keep warm, grow, work, think, and play. Our circulation and digestion also need to work well with the energy we get from calories.

Let x = calories in cookies.

     y = calories in carrots.

Now, according to the question:

     5x + 2y = 590                   --------------------------------------- (1)

     3x + 4y = 410                    -------------------------------------- (2)

Multiplying equation(1) by 3 and equation(2) by 5:

         15x + 6y = 1770                       ---------------------------(3)

         15x + 20y = 2050                   ---------------------------(4)

Solving we get:

    y = 280/14

or, y = 20 units.

Putting the value of y = 20 in equation (2)

    3x + 4y = 410

⇒  3x + 4 × 20 = 410

⇒ 3x = 410 - 80

⇒ x = 330/3

⇒ x = 110 Units

Therefore, the calories of cookies is 110 units .

Learn more about Calories:

https://brainly.com/question/17078881

#SPJ4

Answer:

Hi... Do this for prove that

Answer:

Step-by-step explanation:

Answer:

6 weeks

Step-by-step explanation:

$450 - $90(from parents) = $360

$360 ÷ $60(from job) = 6

He's been saving money for "6 weeks".

The net force acting on each ball can be ranked from largest to smallest as Fd>Fb>Fc=Fa, with Fd being the largest  number of force due to its the highest mass and Fa being the smallest force due to its lowest mass.

The net force acting on each ball is equal to the product of its mass and acceleration due to gravity (F=ma). Since all of the balls have the same acceleration due to gravity, the magnitude of the net force on each ball can be determined by its mass. Therefore, the net force acting on each ball can be ranked from largest number to smallest as follows: Fd>Fb>Fc=Fa.

Fd>Fb>Fc=Fa

The net force acting on each ball can be ranked from largest to smallest as Fd>Fb>Fc=Fa, with Fd being the largest force due to its the highest mass and Fa being the smallest force due to its lowest mass.

learn more about number here

https://brainly.com/question/10547079

#SPJ4

the greatest number of pigs Kevin can keep in the field is 4.

How to solve the question?

To determine the maximum number of pigs that Kevin can keep in his field, we need to divide the total area of the field by the area required by each pig.

If we let x represent the maximum number of pigs that can be kept in the field, then we can write the equation:

36x ≤ A

where A is the total area of the field in square meters.

To solve for x, we can divide both sides of the inequality by 36:

x ≤ A/36

This means that the maximum number of pigs that can be kept in the field is equal to the total area of the field divided by 36.

For example, if the field has an area of 144 square meters, then the maximum number of pigs that can be kept in the field is:

x ≤ 144/36 = 4

Therefore, the greatest number of pigs Kevin can keep in the field is 4.

It is important to note that the above calculation assumes that each pig will have exactly 36 square meters of space. In reality, the actual amount of space required per pig may vary depending on factors such as breed, age, and weight. Additionally, it is important to consider other factors such as food, water, and shelter when determining the number of pigs that can be kept in a field.

To know more about Area visit :-

https://brainly.com/question/25292087

#SPJ1

After estimating 48 ÷ 7, we get the result as 7.

We are given an expression

48 ÷ 7

We need to estimate the result.

First, we will divide 48 by 7

So, we get that:

48 ÷ 7 = 6.857

Now we will estimate it.

We will round of the result.

as 6 > 5, we will get it as:

48 ÷ 7 ≈ 7

Therefore, after estimating 48 ÷ 7, we get the result as 7.

Learn more about estimation here:

https://brainly.com/question/24375372

#SPJ9

The graph of the quadratic functions g(x) = 3x²   and  h(x) = -3x² are attached.

1) The function g(x) = 3x² differs from f(x) = x² by scaling the value of x² by a factor of 3.

Domain - The domain for both functions is all real numbers since there are no restrictions on the input values (x).

Range -  For f(x) = x², the range is all non-negative real numbers or [0, +∞).

        For g(x) = 3x², the range is also all non-negative real numbers but scaled by a factor of 3 or [0, +∞).

2)
The function h(x) = -3x² differs from f(x) = x² by negating the value of x² and scaling it by a factor of 3.

Domain - The domain for both functions is all real numbers since there are no restrictions on the input values (x).

Range - For f(x) = x², the range is all non-negative real numbers or [0, +∞).

        For h(x) = -3x², the range is all non-positive real numbers or (-∞, 0].

Learn more about quadratic functions:
https://brainly.com/question/1214333
#SPJ1

Answer:

Joseph;

85.5 miles per hour.

Step-by-step explanation:

We need to put their speeds in the same unit.

Joe swam at the rate of 4.5 miles per hour.

Joseph swam at the rate of 1 1/2 of a mile per minute (1.5 miles per minute). Let us convert this to miles per hour.

To do that, multiply it by 60 minutes:

1.5 * 60 = 90 miles per hour

Joseph swam faster, because his speed is greater than Joe's speed.

The difference in their speeds is:

90 - 4.5 = 85.5 miles per hour

Joseph swam 85.5 miles per hour faster than Joe.