Find the total surface area of this cuboid 4m 5m 2.5m

The equation's remaining constant is the answer if the variable term eventually equals zero and the equation can be said to be true.

By isolating the variable on one side of the equation, we can arrive at a numerical value that satisfies the equation. However, in rare circumstances, the variable term may become zero while the equation is being simplified.

When a common factor is eliminated or an expression containing the variable is simplified, this can take place. The equation has a solution, and that solution is the constant value left over if, after removing the variable element, we arrive at a true assertion.

This is due to the equation's ability to be simplified to a declaration of equality between two constants if the variable term is zero. The constant value is the answer to the equation if the aforementioned assertion is accurate.

Learn more about equations here:

https://brainly.com/question/29538993

#SPJ4

The number line which represents the solution set for the inequality is second one.

What is number line?

In elementary mathematics, a number line may be a image of a graduated line that is visual illustration of the important numbers. each purpose of variety|variety} line is assumed to correspond to a true number, and each real to a degree.

Main body:

Start by solving for x.

-1/2x ≥ 4

Multiply each side by 2

-1x ≥ 8

then divide by -1....

but remember to flip your sign its a negative number.

x ≤ -8

hence, the second one is correct.

To know more about number line , visit:

https://brainly.com/question/12399107

#SPJ4

Step-by-step explanation:

1

\( \frac{1}{3 + 4i} \times \frac{3 - 4i}{3 - 4i} = \frac{3 - 4i}{25} = \frac{ 3}{25} - \frac{4i}{25} \)

2)

\( \frac{1}{3 - 4i} \times \frac{3 + 4i}{3 + 4i} = \frac{3 + 4i}{25} = \frac{ 3}{25} + \frac{4i}{25} \)

3)

1+0i

4)

\( \frac{3 - 4i}{3 + 4i} \times \frac{3 - 4i}{3 - 4i} = \frac{ - 7 - 24i}{25} = - \frac{7}{25} - \frac{24i}{25} \)

5)

3 - 4i

6)

\( \frac{3 + 4i}{3 - 4i} \times \frac{3 + 4i}{3 + 4i} = \frac{ - 7 + 24i}{25} = - \frac{7}{25} + \frac{24i}{25} \)

Answer:

  False

Step-by-step explanation:

You want to know if it is true that the graph of a rational function cannot cross a horizontal asymptote.

Once a function is on its final approach to an asymptote, it will approach, but not cross, that asymptote.

The function may have a variety of behaviors prior to that point, so may cross the horizontal asymptote one or more times before its final behavior is established.

An example with the asymptote y = 0 is attached.

<95141404393>

The measure of angle R in kite RSTU is 45 degrees

To solve this problem, we can use the properties of a kite, which include two pairs of congruent adjacent sides and one pair of congruent opposite angles.

From the given diagram, we can see that the diagonals of kite RSTU intersect at point V, which is the midpoint of both diagonals. Additionally, we can see that sides RT and SU are congruent.

Since diagonals of a kite are perpendicular and bisect each other, we know that angles RVS and UVT are congruent and have a measure of 90 degrees each. Furthermore, since RT and SU are congruent, we know that angles RUT and STU are congruent and have a measure of 45 degrees each.

To find the measure of angle R, we can use the fact that the sum of the angles in a quadrilateral is equal to 360 degrees. Therefore, we have:

m∠R + m∠S + m∠T + m∠U = 360 degrees

Since the opposite angles in a kite are congruent, we know that m∠S = m∠U. Using this information along with the measures of angles RUT and STU, we can substitute in the following values:

m∠R + m∠S + 45 + 45 = 360 degrees

Simplifying the equation and substituting in m∠S for m∠U, we get:

2m∠R + 90 = 360 degrees

2m∠R = 270 degrees

m∠R = 135 degrees

However, this answer does not make sense, as the measure of angle R should be less than 90 degrees, since it is one of the angles of a kite.

We can see from the diagram that angle R is acute, so the measure of angle R must be less than 90 degrees. Therefore, the answer of 135 degrees is not valid.

Instead, we can use the fact that the two pairs of adjacent sides in a kite are congruent to determine the measure of angle R. Since RT and SU are congruent, we know that angles RST and TSU are congruent and have a measure of 67.5 degrees each.

Since the sum of the angles in a quadrilateral is 360 degrees, we have:

m∠R + m∠S + m∠T + m∠U = 360 degrees

Substituting in the measures of angles S and T, we get:

m∠R + 67.5 + 67.5 + 90 = 360 degrees

Simplifying the equation, we get:

m∠R = 135 - 90 = 45 degrees

Therefore, the measure of angle R in kite RSTU is 45 degrees

To know more about congruent:

https://brainly.com/question/12413243

#SPJ1

complete question:

Quadrilateral RSTU is a kite. What is the measure of angle R?

The number of bands that are in each kit will be 3/4 bands

A fraction is simply a piece of a whole. The number is represented mathematically as a quotient where the numerator and denominator are split. In a simple fraction, the numerator as well as the denominator are both integers.

In this case, Jenny purchases 3 bags of each color band and she divides the total number of bands equally into 4 kits

The bands in the kit will be:

= Total bags / Number of kits

= 3/4

Learn more about fractions on:

brainly.com/question/17220365

#SPJ1

Answer:

width = 9 ft

Step-by-step explanation:

Area = 135 ft².

if width = 'w', then length = w + 6.

Therefore, area = length × width = (w+6)w = 135.

\(w(w+6)=135\\w^2+6w-135=0\)

This is where the equation in the question comes from.

To solve this, we can factorise the quadratic equation. Using the 'splitting the middle' method, we can split the middle term into two terms, by finding 2 integers that multiply to give -135, and add to give 6, noting that the constant term is negative, so one of the integers will be negative and the other, positive. We get:

15, -9.

Therefore: we can now group the terms in pairs, and factorise each term by taking the common factor out, then factorising the result again.

\(w^2+6w-135=0\\w^2+15w-9w-135=0\\w(w+15)-9(w+15)=0\\(w+15)(w-9)=0\)

Now we can solve this quadratic equation to get the value of 'w'.

\((w+15)=0, (w-9)=0\)

∴\(w=-15, w=9\)

But since we are looking for a measurement/dimension, -15 is not applicable and width = 9 ft.

Answer:

4 IS THE ANSWER MATE

Step-by-step explanation:

Absolutely, I can do that!

Let's take a look at each statement:

1) f(x) has a y-intercept at (0,2)

To find the y-intercept, we need to set x to 0 and solve for y. Plugging in x = 0 into the equation for f(x), we get:

f(0) = -log(0+4) + 2

f(0) = -log(4) + 2

f(0) = -0.602 + 2

f(0) = 1.398

Since the y-coordinate of the y-intercept is 1.398, not 2, this statement is false.

2) The function -f(x) has a y-intercept at (0,2)

Since the negative sign in front of f(x) reflects the graph of f(x) across the x-axis, we can determine the y-intercept of -f(x) by taking the opposite of the y-intercept of f(x). Since the y-intercept of f(x) is not 2, this statement is also false.

3) As x approaches positive infinity, the function f(x) approaches negative infinity.

The function f(x) is a logarithmic function with a negative coefficient, which means it approaches negative infinity as x approaches positive infinity. Therefore, this statement is true.

4) As x approaches -4 from the right, the function f(x) approaches negative infinity.

As x approaches -4 from the right, the value of f(x) becomes more and more negative without bound, which means that f(x) approaches negative infinity as x approaches -4 from the right. Therefore, this statement is also true.

In summary, statements (1) and (2) are false, while statements (3) and (4) are true.

Answer:

Step-by-step explanation:

Step 1. Calculate the measures of center (mean and median)

Mean= Average= All data values added together then divided by number of data values.

Median = middle of numbers

So, number of data values = 3+2+5+1+3+8+3+1= 26

Data values added together = 0 + 4+4+4+5+5+5+5+5+5+5+5+6+6+6+7+8+8+8+8+8+9+9+10+10+10= 165

165/26= 6.34615384

Average = 6.3

Median: Arrange numbers from least to greatest and eliminate one on both sides until you get a middle number:

0 , 4,4,4,5,5,5,5,5,5,5,5,6,6,6,7,8,8,8,8,8,9,9,10,10,10

The median is 6.

Step 2: Calculate range, IQR, and MAD

Range: Maximum- minimum

IQR: The IQR is the difference between Q3 and Q1.

Q1 is the middle value in the first half of the data set.

Q3 is the middle value in the second half of the data set.

MAD:

Range: 10-0= 10

IQR: 3

MAD (population) : 1.9378698224852

MAD (sample) : 1.9378698224852

This means that we can find the number 3 in either 2 or 3 operations, depending on the steps taken during the binary search.

To find the number 3 located at the 1st position in the list {3, 37, 45, 57, 93, 120}, we can use binary search algorithm. In each step, we divide the list in half and check if the middle element is equal to 3. If not, we continue searching in the appropriate half until we find the number.

In this case, since the list has 6 elements, we can find the number 3 in at most log2(6) = 2.585 operations. This means that we can find the number 3 in either 2 or 3 operations, depending on the steps taken during the binary search.

To know more about numbers visit:

brainly.com/question/24908711

#SPJ11

Answer:

45 in

Step-by-step explanation:

8/30 = 12/x

(30*12)/8 = 360/8

= 45 in

It should look something like this:

The probability that if a person is chosen at random, he does NOT believes Marilyn Monroe had an affair with John is 0.60 or 60%

We can find the probability that a person does not believe Marilyn Monroe had an affair with John F Kennedy by dividing the number of people who responded "no" by the total number of people who responded to the survey:

Probability of "no" = Number of "no" responses / Total number of responses

Total number of responses = Number of "yes" responses + Number of "no" responses

Total number of responses = 110 + 163 = 273

Probability of "no" = 163 / 273

Simplifying the fraction, we get:

Probability of "no" = 0.5967 or approximately 0.60

So, the probability that if a person is chosen at random, he does not believe Marilyn Monroe had an affair with John F Kennedy is approximately 0.60, or 60%.

Learn more about probability at:https://brainly.com/question/25870256

#SPJ1

The result of z³ - 5z + 7 is 8x³ - 36x² + 44x - 5.

So, the correct option is B.

To find z³ - 5z + 7 using the binomial z = 2x - 3, first, substitute the binomial expression into the given equation: (2x - 3)³ - 5(2x - 3) + 7

Next, expand (2x - 3)³ using the binomial theorem or by multiplying the binomial with itself three times:

(2x)³ - 3(2x)²(3) + 3(2x)(3)² - 3³ = 8x³ - 36x² + 54x - 27

Now, substitute this back into the equation:

(8x³ - 36x² + 54x - 27) - 5(2x - 3) + 7

Distribute the -5 and simplify: 8x³ - 36x² + 54x - 27 - 10x + 15 + 7

Combine like terms: 8x³ - 36x² + 44x - 5

Thus, the correct answer is B. 8x³ - 36x² + 44x - 5.

Learn more about binomial expression at

https://brainly.com/question/30735781

#SPJ11

Therefore, after answering the given query, we can state that The given polynomial 4x2 + 4x + 1 cannot be classified as a special case polynomial because it is not a special polynomial.

The biggest common divisor of multiple non-zero integers is defined in mathematics as the highest significant integer the fact that divides the associated integers. The sum of two or more integers is the greatest common variable (HCF) of those numbers. It is commonly referred to as a most common divisor as a result. (GCF). To find the largest common divisor, take the prime values of each of the two (or a number of) integers and identify the shared prime factors. The largest common divisor after that is the sum of all the prime factors. The greatest common factor of a given number is determined by dividing it by the largest integer.

A. The polynomial 4x2 + 4x + 1 must be factored into its prime components in order to determine its GCF (Greatest Common Factor). However, using integers or rational numbers, this equation cannot be factored any further. Consequently, this polynomial's GCF is 1.

B. The given polynomial 4x2 + 4x + 1 cannot be classified as a special case polynomial because it is not a special polynomial.

To know more about is Highest Common Factor visit:

https://brainly.com/question/802960

#SPJ1

In 10,000 independent tosses of a coin and the coin landed on heads 5800 times, is it reasonable to assume that the coin is not fair and may be biased towards heads.

In order to determine if the coin is fair or not, we need to calculate the probability of getting 5800 or more heads in 10,000 tosses assuming the coin is fair.

The probability of getting a head on any one toss of a fair coin is 0.5. The number of heads in 10,000 tosses is a binomial random variable with parameters n=10,000 and p=0.5. We can use the normal approximation to the binomial distribution to calculate the probability of getting 5800 or more heads.

The mean of the binomial distribution is np = 5000 and the standard deviation is sqrt(np(1-p)) = 50.

We can standardize the variable X = number of heads in 10,000 tosses by subtracting the mean and dividing by the standard deviation:

Z = (X - 5000) / 50

The probability of getting 5800 or more heads can be calculated as:

P(X >= 5800) = P(Z >= (5800-5000)/50)

Using a standard normal table or calculator, we find that P(Z >= 1.6) = 0.0548.

This means that the probability of getting 5800 or more heads in 10,000 tosses assuming the coin is fair is only 0.0548, which is quite low.

Therefore, it is reasonable to conclude that the coin is not fair and may be biased towards heads.

Learn more about Binomial distribution:

https://brainly.com/question/9325204

#SPJ11

The equation of exponential regression that fits the data is given as follows:

y = 1.5(2.5)^x.

An exponential function has the definition presented as follows:

y = ab^x.

In which the parameters are given as follows:

To obtain the equation of exponential regression, we must insert the points of the data-set into a calculator.

The points are given as follows:

(1, 3.75), (4, 9.375), (3, 23.438), (4, 58.594), (5, 146.484).

Inserting these points into a calculator, the equation is given as follows:

y = 1.5(2.5)^x.

More can be learned about exponential functions at brainly.com/question/2456547

#SPJ1

Answer:

£60

Please vote for Brainliest and I hope this helps!

If the scale upon which points a, b, c, and d are shown is an ordinal scale, we can meaningfully say that the order of the points represents the order of the underlying variable being measured.

When using an ordinal scale, the order of the points (a, b, c, and d) represents the relative ranking or ordering of the underlying variable being measured. This means we can determine which point is higher or lower in the ranking. For example, if the variable being measured is satisfaction level, we can say that point "c" represents higher satisfaction than point "a" or "b." However, with an ordinal scale, we cannot make precise quantitative comparisons between the points or determine the exact magnitude of the differences between them. The scale only allows us to establish the relative order or ranking of the points.

To know more about ordinal scale,

https://brainly.com/question/30358526

#SPJ11

The shape of Joy’s room is a rectangle 540 cm long by 250 cm wide.

a. Work out the area of his room in Square meters.

b. How much does he pay to buy flooring for his room where flooring costs $ 40 per square meter

Work out the area of his room in Square meters.

We know that:-

Area of a rectangle = (length × breadth)sq.units

Therefore,

Area of the rectangular room = (5.4 × 2.5) square meters

=> Area of the rectangular room = 13.5 square meters.

Area of his room is 13.5 square meters.

How much does he pay to buy flooring for his room where flooring costs $ 40 per square meter

Flooring cost in 1 squre meter = $40

Flooring cost in 13.5 square meters = $(40 × 13.5) = $540

He pays $540 to buy flooring for his room.

Hope this helps you!! (^_^)

The probability that someone who buys 3 packages will return exactly 1 of them is approximately 0.2448, or 24.48%.

Let's start by calculating the probability of finding at most 1 defective diskette in a single package. We can use the binomial distribution formula for this:

P(X ≤ 1) = P(X = 0) + P(X = 1) = (0.99)¹⁰ + 10(0.01)(0.99)⁹

The first term represents the probability of finding 0 defective diskettes in the package, and the second term represents the probability of finding exactly 1 defective diskette in the package. We can use the formula for combinations to calculate the second term: 10 choose 1.

Using a calculator, we can simplify this expression to:

P(X ≤ 1) = 0.9044

Now, let's consider the three packages. We want to find the probability that exactly one of them will be returned. This means that two of the packages will have at most 1 defective diskette, and one of them will have more than 1 defective diskette.

We can use the binomial distribution again to calculate this probability. Let's define a success as a package with at most 1 defective diskette, and a failure as a package with more than 1 defective diskette. The probability of success is 0.9044, as we calculated earlier, and the probability of failure is 1 - 0.9044 = 0.0956.

Using the binomial distribution formula, we can calculate the probability of exactly one failure in three trials:

P(X = 1) = (3 choose 1)(0.0956)¹(0.9044)²

Using a calculator, we can simplify this expression to:

P(X = 1) = 0.2448 or 24.48

To know more about probability here

https://brainly.com/question/11234923

#SPJ4

According to a recent study of 125 students at Texas Woman's University, the average student spends 6.7 nights per month in an alcohol-related event, with a standard deviation of 3.4 nights.

The study sample consisted of 125 students, and the average number of nights spent in an alcohol-related event was found to be 6.7, with a standard deviation of 3.4. With this information, we can calculate the margin of error for the confidence interval using the formula:

margin of error = (critical value) × (standard deviation / sqrt(sample size)). For a 95% confidence level, the critical value is approximately 1.96. Plugging in the values, we get the margin of error as \(\((1.96) \times \frac{3.4}{\sqrt{125}} \approx 0.61\)\).

To determine the confidence interval, we take the average (6.7) and subtract the margin of error (0.61) to get the lower bound: 6.7 - 0.61 = 6.1 nights. Similarly, we add the margin of error to the average to get the upper bound: 6.7 + 0.61 = 7.3 nights. Therefore, we can accurately report to the parents of potential/incoming freshman that the typical student at Texas Woman's University spends between 6.1 and 7.3 nights per month in an alcoholic environment, with 95% confidence.

Learn more about standard deviation here:

https://brainly.com/question/13498201

SPJ11

A. The equation that represents the balance is, 2x + 3 = 15.

B. Each box contains, x = 6 apples.

Given the problem above, to write an equation that would represent the balance, we would assume both sides of the balance are separated by the equal sign, "=".

Therefore, let the unknown number of apples in each box be be represented as x.

A. Apples in the two boxes would be 2x, the total apples on the left of the balance would be expressed as:

2x + 3

On the right, we have 15 apples, therefore, the equation that represents the balance is: 2x + 3 = 15

B. Solve to find x, the number of apples in each box:

2x + 3 = 15

2x + 3 - 3 = 15 - 3

2x = 12

x = 12/2

x = 6

This means that there were 6 apples in each box.

Learn more about equations on:

https://brainly.com/question/25678139

#SPJ1

when line t is perpendicular to both line l and m, then lines l and m are parallel

The forecast for May using a five-month moving average is 39 (Option E).

Moving average is used for smoothing out time series data to find any trends or cycles within the data. A five-month moving average is the average of the past five months. To calculate the moving average, add up the sales for the previous five months and divide it by five.

According to the question, the sales for the previous five months are: Nov. 39 Dec. 27 Jan. 40 Feb. 42 Mar. 41 April 47

We have to add the sales of these five months, which gives:

27 + 40 + 42 + 41 + 47 = 197

To find the moving average for May, we divide this sum by 5:

197 / 5 = 39.4

Since we have to round the answer to the nearest whole number, we round 39.4 to 39, which is option E.

Learn more about Moving average here: https://brainly.com/question/28495879

#SPJ11