what would be the resulting difference if the line transition: width 2s, height 2s; was removed from the first css rule?

Answer:

Area:  24

Step-by-step explanation:

Answer: If I did it corcorrectlyect the answer is  41.57²

Hope it helped :D

Answer:

Step-by-step explanation:

We solve these problems by doing PEMDAS.

Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right).

As you can see, 1.85 - 0.3 is in parentheses, so we will do that first.

The operation should perform first to simplify given expression is subtraction. Therefore, the correct option is B.

PEMDAS is an acronym used to mention the order of operations to be followed while solving expressions having multiple operations. PEMDAS stands for P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction.

The given expression is (1.85-0.3)/(8+4)3.

Now, 1.55/(12×3)

= 1.55/36

= 0.0431

Therefore, option B is the correct answer.

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Answer: A factor is a number or expression that divides another number or expression without leaving a remainder. Factoring, on the other hand, is the process of breaking down a number or expression into its factors. It involves finding the numbers or expressions that, when multiplied together, give the original number or expression.

Step-by-step explanation:

Answer:

x = 2

Step-by-step explanation:

2× = 4

x = 2

2x = 4

4/2 = 2

so...

2(2) = 4

x = 2

To properly hedge the balance sheet, Village Bank needs to sell about 2,878 futures contracts, rounded to the closest whole number.

To calculate the number of futures contracts Village Bank must sell to fully hedge the balance sheet, we need to consider the duration gap between assets and liabilities.

The duration gap is calculated as follows:

Duration Gap = (Asset Duration * Asset Value) - (Liability Duration * Liability Value)

Given:

Asset Duration = 12 years

Asset Value = $280 million

Liability Duration = 4 years

Liability Value = $238 million

Duration Gap = (12 * $280 million) - (4 * $238 million)

           = $3,360 million - $952 million

           = $2,408 million

Now, we need to determine the number of futures contracts required to hedge this duration gap. Each T-bond futures contract has an underlying duration of 8 years.

\(\begin{equation}\text{Number of Contracts} = \frac{\text{Duration Gap}}{\text{Duration of Futures Contract}}\end{equation}\)

\(\begin{equation}\text{Number of Contracts} = \frac{\textdollar2,408 \text{ million}}{8 \text{ years}}\end{equation}\)

                  = $301 million

However, we need to convert the contract size from dollars to the quoted price of the futures contract. The quoted price of 104-22 (30nds) corresponds to 104.6875.

\(\begin{equation}\text{Number of Contracts} = \frac{\textdollar301 \text{ million}}{\textdollar104.6875}\end{equation}\)

                  ≈ 2,878 contracts

Rounding to the nearest whole number, Village Bank must sell approximately 2,878 futures contracts to fully hedge the balance sheet.

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Answer:

center: (-5,6)

Radius: 7

Step-by-step explanation:

Answer:

a,d,e

Step-by-step explanation: trust

Answer:

y= 14.875

x= 16.875

Step-by-step explanation:

simultaneous equation

substitution method

The solutions of the system tend towards zero, as the exponential term dominates the other terms.

The general solution of the given system of equations can be expressed as:

x(t) = c1e^(-t) + c2te^(-t)

y(t) = c3e^(-t) + c4te^(-t)

where c1, c2, c3 and c4 are constants of integration.

The direction field of the system can be drawn by plotting the slopes of the two equations at each point. The trajectories of the solutions can be sketched by plotting the solutions of the system at different points in time. As t approaches infinity, the solutions of the system tend towards zero, as the exponential term dominates the other terms.

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Range of the value of the game played:To get the range of the value of the game played, we have to find the minimum and maximum possible scores. Minimum score of the game: The minimum score is when both teams play their strongest defense strategy.

For Letran, their strongest defense strategy is the Man-to-man defense and for Mapua, their strongest defense strategy is the Half-court Press defense.Using these defense strategies, Letran can get a score of 45 and Mapua can get a score of 30.Thus, the minimum possible score is 45 + 30 = 75.Maximum score of the game: The maximum score is when both teams play their weakest defense strategy.

For Letran, their weakest defense strategy is the Press defense and for Mapua, their weakest defense strategy is the Man-to-man defense.Using these defense strategies, Letran can get a score of 55 and Mapua can get a score of 40.Thus, the maximum possible score is 55 + 40 = 95.Therefore, the range of the value of the game played is 75 to 95.b) To find the defense strategy in which Letran is weak, we have to see which defense strategy allows Mapua to get the highest score.

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Differential equation of the total quantity Q of dead leaves at time t= dt/dQ = -0.65Q + 5. and 7.69 grams per square centimeter is the equilibrium level.

The differential equation for the total quantity Q of dead leaves (per square centimeter) at time t is given by:dt/dQ = -0.65Q + 5.B.

Assuming that there are no leaves on the ground initially, t = 0.  

Q(0) = 0.

Qeq = 7.69 grams per square centimeter.

The solution to the differential equation is given by: Q(t) = (20/13) + Ce^(-0.65t) where C is an arbitrary constant. At equilibrium, dQ/dt = 0, or -0.65Q + 5 = 0.Qeq = 7.69 grams per square centimeter is the equilibrium level.

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The linear model, F(t) = 9.44t + 84, does not fit the data well.

To determine if the linear model is a good fit for the data, we can compare the model's predictions with the actual data points shown in the scatter plot. The scatter plot shows the retail sales in billions of dollars for different years since 1995. The linear model F(t) = 9.44t + 84 is a linear equation with a slope of 9.44 and a y-intercept of 84.

Upon comparing the linear model's predictions with the actual data points, we can see that the linear model does not accurately capture the trend in the data. The data points do not form a straight line, but instead exhibit a curved pattern. The linear model may not capture the non-linear relationship between the years since 1995 and the retail sales accurately.

Therefore, the linear model, F(t) = 9.44t + 84, is not a good fit for the data, as it does not accurately represent the trend exhibited by the scatter plot of retail sales in drug stores in the U.S. since 1995

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the answer is volume

An angle will always be formed when two or more lines intersect. These can form a series of complementary or supplementary angles. Complementary angles add upt o a right angle, while supplementary angles are two or more angles formed that add up to \(180^{o}\). Thus two supplementary angles can be referred to as a linear pair.

Therefore the required statements and reasons for the question are stated below:

          STATEMENT                                 REASONS

1. Line l and line m intersect                  Given

2. <1 is supplementary to <2,                        

   <3 is supplementary to <4                 Linear pair theorem

3. m<2 + m<3 = \(180^{o}\),      

   m<3 + m<4 = \(180^{o}\)                               Definition of Supplementary angles

4. m<1 + m<2  = m<3 + m<4 = \(180^{o}\)        Congruent Supplement Theorem

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Answer:

Step-by-step explanation:

  <3 is supplementary to <4                 Linear pair theorem

I took the plato test and got it right

Kevin will ultimately deposit approximately $203.16 in the account, and the interest earned will be approximately $25,663.76.

To determine how much Kevin will ultimately deposit in the account and how much interest will be earned, we can use the future value formula for an annuity:

\(FV = P * ((1 + r)^n - 1) / r\)

Where:

FV is the future value

P is the monthly deposit

r is the monthly interest rate

n is the number of months

We are given:

FV = $65,000

r = 3.8% = 0.038 (converted to decimal)

n = 18 years * 12 months/year = 216 months

We need to solve for P.

Using the formula, we can rearrange it to solve for P:

P = FV *\((r / ((1 + r)^n - 1))\)

Substituting the given values into the formula:

P = $65,000 * \((0.038 / ((1 + 0.038)^216 - 1))\)

Calculating this expression, we find that the monthly deposit (amount Kevin will ultimately deposit) is approximately $203.16.

To find the interest earned, we can subtract the total deposit from the future value:

Interest Earned = FV - (P * n)

Interest Earned = $65,000 - ($203.16 * 216)

Calculating this expression, we find that the interest earned is approximately $25,663.76.

Therefore, Kevin will ultimately deposit approximately $203.16 in the account, and the interest earned will be approximately $25,663.76.

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Kevin deposits a fixed monthly amount into an annuity account for his child's college fund. He wishes to accumulate a future value of $65,000 in 18 years Assuming an APR of 3.8% compounded monthly, how much of the $65,000 will Kevin ultimately deposit in the account, and how much is interest earned? Round your answers to the nearest cent necessary.

Alice receives 2 more paychecks in a year compared to Ralph.

Since Ralph is paid semimonthly, he receives 24 paychecks in a year (twice a month). Alice, on the other hand, is paid biweekly, which means she receives 26 paychecks in a year (once every two weeks).

To calculate the difference in the number of paychecks, we can subtract the number of paychecks Ralph receives from the number Alice receives:

Number of paychecks for Alice - Number of paychecks for Ralph = 26 - 24 = 2

Therefore, Alice receives 2 more paychecks in a year compared to Ralph.

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Answer:

Step-by-step explanation:

For 7 pounds of walnuts and 9 pounds of chocolate chips, the total cost is $37:

For 5 pounds of walnuts and 3 pounds of chocolate chips, the total cost is $17:

Multiply the second equation by 3 and subtract the first equation, solve for x:

Find the value of y:

Answer:

2(x - 9.46)(x + 2.54)

Step-by-step explanation:

2(x² - 12x + 24)

since there are no factors that multiply to 24 and add to -12 then i used the quadratic formula to get:

6+2\(\sqrt{3}\), 6-2\(\sqrt{3}\)

The equation representing the amount of data stored on Jackie's computer is y = 3.5x + 2.

What is a equation?

An equation is a mathematical statement that asserts the equality of two expressions

Based on the given information, we can observe that the amount of data stored on Jackie's computer is increasing linearly over time.

Let's analyze the data:

Time (year)          Gigabytes of Data

      0                                 2

      1                                 5.5

      2                                 9

      3                               12.5

      4                                16

We can see that for each year, the amount of data stored increases by 3.5 gigabytes.

To find the equation that represents this linear relationship, we can use the slope-intercept form of a linear function, which is given by:

y = mx + b

Where:

y represents the amount of data stored on Jackie's computer (in gigabytes),

x represents the time (in years),

m represents the slope of the line, and

b represents the y-intercept (the initial amount of data when x = 0).

Using the data provided, we can find the slope:

slope (m) = (change in y) / (change in x) = (16 - 2) / (4 - 0) = 14 / 4 = 3.5

Since the slope is 3.5, we can determine that Jackie is storing an additional 3.5 gigabytes per year.

Now, let's find the y-intercept (b). From the data, we can see that when x = 0 (initial time), the amount of data stored is 2 gigabytes. Therefore, b = 2.

Putting it all together, the linear function representing this situation is:

y = 3.5x + 2

Therefore, the correct statement about the linear function is: The equation representing the amount of data stored on Jackie's computer is y = 3.5x + 2.

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The complete question is :

A computer had 2 gigabytes of data stored on it when jackie bought it, and she is storing an additional 3.5 gigabytes per year, as shown in the table below. which of these statements is correct about the linear function that represents this situation?

(a) The initial value represents the 2 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 3.5 gigabytes per year that Jackie is storing.

(b) The initial value represents the 2 gigabytes per year that Jackie is storing, and the rate of change represents the 3.5 gigabytes of data stored on the computer when Jackie bought it.

(c) The initial value represents the 3.5 gigabytes of data stored on the computer when Jackie bought it, and the rate of change represents the 2 gigabytes per year that Jackie is storing.

(d) The initial value represents the 3.5 gigabytes per year that Jackie is storing, and the rate of change represents the 2 gigabytes of data stored on the computer when Jackie bought it.

Answer:

(5,0)

Step-by-step explanation:

The expression given below is to be evaluated and the solution needs to be justified. the value of the given expression is 0.5x² - 0.46 + 2π - 3 + C.

∫|x|dx - ∫S[(√(x²+1))cos(t)]dt + ∫(4+3sin(t))dt
Let's break down the given expression and simplify it:
∫|x|dx can be written as ∫x dx for x >= 0 and ∫(-x)dx for x < 0.
So, the first term after simplification is:
∫|x|dx = ∫x dx - ∫x dx[limits -∞,0]

= x²/2 + C for x >= 0

 = - x²/2 + C for x < 0.
The second term after simplification can be solved by applying integration by substitution:
Let √(x²+1) = t
Differentiating both sides, we get
x²/(√(x²+1)) = dt/dx
or
dx = (t²-1)dt/t
Limits: ∫S[(√(x²+1))cos(t)]dt[limits 0, π/2]
When x=0, t = √(0²+1) = 1, and when x → ∞, t → ∞.
So, the integral becomes:
= ∫cos(t).(t²-1)dt/t[limits 1, ∞]

= -∫cos(t).(t²-1)dt/t[limits 0, 1]
Let's apply integration by parts here:
u = cos(t), v' = (t²-1)/t
du/dt = -sin(t), v = tln(t) - t
Using the formula for integration by parts,
= -cos(t).(tln(t) - t)[limits 0,1] + ∫[(tln(t) - t)sin(t)]dt[limits 0, 1]
= -cos(t).(tln(t) - t)[limits 0,1] - ∫tcos(t)dt[limits 0, 1] + ∫sin(t)dt[limits 0, 1]
= -cos(t).(tln(t) - t)[limits 0,1] + sin(t)[limits 0,1] - cos(t)[limits 0,1]
= 0.46 (approx)
The third term is straightforward to solve:
∫(4+3sin(t))dt = 4t - 3cos(t)
[limits 0, π/2] = 4(π/2) - 3cos(π/2) - 4(0) + 3cos(0)
= 2π - 3
So, the entire expression evaluates to:
(0.5x² + C) - 0.46 + 2π - 3
= 0.5x² - 0.46 + 2π - 3 + C
Thus, the value of the given expression is 0.5x² - 0.46 + 2π - 3 + C. The solution is justified.

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To determine which set of data most likely has a mean closest to 29.5, we need to analyze the shape and position of the histograms in relation to the value 29.5.

Looking at the histograms described:

The first histogram ranges from 9 to 48, and the upward trend starts from 1 and ends at 33, followed by a downward trend. This histogram suggests that there may be values lower than 29.5, which would bring the mean below 29.5.

The second histogram ranges from 15 to 48, with an upward trend from 1 to 30 and then a downward trend. Similar to the first histogram, it suggests the possibility of values lower than 29.5, indicating a mean below 29.5.

The third histogram ranges from 12 to 56, and the upward trend starts from 1 and ends at 32, followed by a downward trend. This histogram covers a wider range but still suggests the possibility of values below 29.5, indicating a mean below 29.5.

The fourth histogram ranges from 15 to 54 and exhibits multiple trends. While it has fluctuations, it covers a wider range and includes both upward and downward trends. This histogram suggests the possibility of values above and below 29.5, potentially resulting in a mean closer to 29.5.

Based on the descriptions, the fourth histogram, with its more varied trends and wider range, is most likely to have a mean closest to 29.5.

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a) We can conclude that there is significant evidence that the probability of heads is not 0.5.

b) A 95% confidence interval for the true probability of heads is (0.4872, 0.5262).

a) To test whether the probability of heads is significantly different from 0.5, we can use a two-tailed z-test with a significance level of 0.05. The null hypothesis (H₀) is that the probability of heads is 0.5, while the alternative hypothesis (Hₐ) is that it is not 0.5.

The test statistic is given by:

z = (x - np) / √(np(1-p))

where x is the number of heads observed (5067), n is the total number of coin tosses (10,000), and p is the hypothesized probability of heads under the null hypothesis (0.5).

Plugging in the values, we get:

z = (5067 - 5000) / √(10,000 * 0.5 * 0.5) = 2.20

The P-value for this test is the probability of getting a z-score greater than 2.20 or less than -2.20, which is approximately 0.0287. Since the P-value is less than the significance level of 0.05, we reject the null hypothesis and conclude that there is significant evidence that the probability of heads is not 0.5.

b) To find a 95% confidence interval for the true probability of heads, we can use the formula:

p ± z*√(p(1-p)/n)

where p is the sample proportion (5067/10000), n is the sample size (10,000), and z is the critical value from the standard normal distribution corresponding to a 95% confidence level (1.96).

Plugging in the values, we get:

p ± 1.96*√(p(1-p)/n) = 0.5067 ± 0.0195

So a 95% confidence interval for the true probability of heads is (0.4872, 0.5262). This means that we can be 95% confident that the true probability of heads falls within this interval based on the observed sample proportion.

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Answer:

1.95 inch (2dp)

Step-by-step explanation:

h≈ 1.95 inch (2dp).

Explanation:

V= 13πr2h⇒r2 = 3Vπh⇒ = √3Vπh.

With,

V = 20 and h = 5, r = √(3) (20)5π = √12π

= √3.8197 ≈ 1.95 inch (2dp).

Answer:

In the original game, the probability of winning is 4/10 or 2/5. To make the game fair, we want to adjust the number of star cards and blank cards so that the probability of winning is 1/2 or 5/10.

Option 1: Add 2 cards with stars.

If we add 2 cards with stars, we will have a total of 12 cards, 6 of which will have stars. The probability of winning will be 6/12 or 1/2, making the game fair.

Option 2: Add a star to 1 of the blank cards.

If we add a star to 1 of the blank cards, we will have a total of 11 cards, 5 of which will have stars. The probability of winning will be 5/11, which is not exactly 1/2 but is very close. This option is a good approximation of a fair game, but not perfect.

Option 3: Take away 2 blank cards.

If we take away 2 blank cards, we will have a total of 8 cards, 4 of which will have stars. The probability of winning will be 4/8 or 1/2, making the game fair.

Therefore, options 1 and 3 will make the game fair, while option 2 is a good approximation of a fair game.

The number 36 should be placed in the blank space. So, Multiplying by 1. 36 is the same as increasing by 36 percent from a decimal number.

The decimal system has a base of ten . These numbers are generally represented by the dot "." between the digits called "decimal point". We can express an integer as a decimal by putting a decimal point after the digit in one's place and writing 0 onwards. The term "percent" is a number or ratio that represents a fraction of 100. Steps to convert decimal to Percent :

We have to fill up a blank space with a number. We have a decimal number 1.36. From above discussion, we need to convert this decimal value into a percent : 0.36 × 100 = 36% So, multiplying by 1.36 is the same as increasing by 36%. Hence, required value is 36.

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The area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

a. To find the area to the right of z = -1 for the standard normal distribution, we need to calculate the cumulative probability using the standard normal distribution table or a statistical calculator.

From the standard normal distribution table, the area to the left of z = -1 is 0.1587. Since we want the area to the right of z = -1, we subtract the left area from 1:

Area to the right of z = -1 = 1 - 0.1587 = 0.8413

Therefore, the area to the right of z = -1 for the standard normal distribution is approximately 0.8413.

b. To answer this question, we would need additional information about the mean and standard deviation of the annual salaries for first-year college graduates. Without this information, we cannot calculate specific probabilities or make any statistical inferences.

If we are provided with the mean (μ) and standard deviation (σ) of the annual salaries for first-year college graduates, we could use the properties of the normal distribution to calculate probabilities or make statistical conclusions. Please provide the necessary information, and I would be happy to assist you further.

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Answer:

C. or D.

Step-by-step explanation:

It depends on the person to be honest, however in this situation an equation is the best route.

Answer: C is the best as choice A is just plain out wrong.

\(x^{2} + y^{2} = t^{2}\) represent the correct graph which is the first figure graph.

Equations with Parameters If x and y are continuous functions of t on an interval I, the equations x = x(t) and y = y(t) are referred to as parametric equations, and t is also known as the parameter. The graph of the parametric equations is the set of points (x, y) obtained as t varies over the interval I.

Since x = tsint

And z= tcost

We have a circle in the x-z plane a

\(x^{2} + z^{2} = t^{2}\)

Now, as y = t

The graph will be a helix with movement along the y-axis. Furthermore, the circle made on the x-z plane will have a variable radius since the radius is equal to t which by itself is changing.

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The image attached shows a linear equation passes in the following points:  (0,5) and (-5/3,0).

An equation can be represented by a linear function. The standard form for the linear equation is: y= mx+b , for example, y=10x+5. Where:

m= the slope. It can be calculated for Δy/Δx.

b= the constant term that represents the y-intercept.

For the given example: m=10 and b=5.

A linear function presents an x-intercept and a y-intercept. The x-intercept represents the point (x,0) that the line crosses the x-axis, on the other hand, the y-intercept represents the point that crosses the y-axis (0,y).

The question gives: 3x-y= -5.

For finding the x-intercept, you need to consider y=0, then:

3x-y= -5

3x-0= -5

3x=- 5

x=-5/3

For finding the y-intercept, you need to consider x=0, then:

3x-y= -5

3*0-y= -5

-y= -5

y=5

Now, plot a line that passes for the points (0,5) and (-5/3,0)

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