The length of a rectangular room is 7.3 feet longer than the width, x,
of the room. Which expression represents the perimeter of the room?

Answer:

this seems like an interesting story

Look eryn i get what your feeling high My ma hate me she kicked me otta the house im living with my cousins my dad never cared I've lost ppl to cov..id and sho,otouts I have nun but Football and School I get it. I've popped a pe.rc 2 days ago and yeah I get how you feeling your not alone

No Need to be a shadow i see you

No need to be muted i can hear you

No need to cut your not paper

No need to Hang your not a coat

No need to Fall apart because of a guy you'll soon find better

No need to play with your life You are not a toy

No need to not feel loved I love you

No need to feel Numb I'm here

No need to pop pills Your loved

No need to Commit suic.ide There is to much to life

I think all I'm saying is Life is Way more then school, job, rest and repeat There's adventures Happy moments and Horrifying times But we all soon get over these things Your in this world in a life For a reason Life it with a purpose

Your not alone at all I get it you feel useless you feel numb you just wanna leave the world but no you have step forward and become an better you, you feel me like just step forward take sacrifices to make you feel better do whatever you gotta do frfr

Answer:

Yes that is the correct answer

Step-by-step explanation:

Use exponent rule: x^y * x^z = x^y+z

4^2 * 4^8

4^2+8

4^10

1,048,576

Best of Luck!

The final displacement of Jane is approximately 11.281 miles in the direction of approximately 88.8 degrees clockwise from the positive x-axis.

To solve this problem, we can use vector addition to find the final displacement of Jane.

Step 1: Determine the components of each displacement.

The southwest direction can be represented as (-5.0 miles, -45°) since it is in the opposite direction of the positive x-axis (west) and the positive y-axis (north) by 45 degrees.

The direction 70 degrees north of the west can be represented as (8.0 miles, -70°) since it is 70 degrees north of the west direction.

Step 2: Convert the displacement vectors to their Cartesian coordinate form.

Using trigonometry, we can find the x-component and y-component of each displacement vector:

For the southwest direction:

x-component = -5.0 miles * cos(-45°) = -3.536 miles

y-component = -5.0 miles * sin(-45°) = -3.536 miles

For the direction 70 degrees north of west:

x-component = 8.0 miles * cos(-70°) = 3.34 miles

y-component = 8.0 miles * sin(-70°) = -7.72 miles

Step 3: Add the components of the displacement vectors.

To find the total displacement, we add the x-components and the y-components:

x-component of total displacement = (-3.536 miles) + (3.34 miles) = -0.196 miles

y-component of total displacement = (-3.536 miles) + (-7.72 miles) = -11.256 miles

Step 4: Find the magnitude and direction of the total displacement.

Using the Pythagorean theorem, we can find the magnitude of the total displacement:

\(magnitude = \sqrt{(-0.196 miles)^2 + (-11.256 miles)^2} = 11.281 miles\)

To find the direction, we use trigonometry:

direction = atan2(y-component, x-component)

direction = atan2(-11.256 miles, -0.196 miles) ≈ -88.8°

The final displacement of Jane is approximately 11.281 miles in the direction of approximately 88.8 degrees clockwise from the positive x-axis.

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1) the mathematical model for given situation is f(t) = 2t + t, where t is the time in minutes

2) the amount of water in the pool after 50 minutes = 105 gallons

3) and the amount of time required to fill the pool =  12 hours 46 minutes

In this question,

a small pool hold 1500 gallons of water.

When there's is 5 gallons of water in the pool, the person decided

that not to stand outside and watch the pool fill.

This means, from the time he had decided, the amount of water in the pool = 5 gallons.

the water was filling the pool at a rate of 2.

Let t be the time in minutes.

So, the amount of water in the pool after 't' minutes would be,

f(t) = 2t + 5

We get an mathematical model for given situation,

f(t) = 2t + 5, where t is the time in minutes

We need to find the amount of water in the pool after 50 minutes

For t = 50 minutes

f(50) = 2(50) + 5

f(50) = 100 + 5

f(50) = 105 gallons

Also, we need to find the amount of time required to fill the pool.

1500 = 2t + 5

1495 = 2t

t = 747.5 minutes

t = 12 hours 46 minutes

Therefore, 1) the mathematical model for given situation is f(t) = 2t + t, where t is the time in minutes

2) the amount of water in the pool after 50 minutes = 105 gallons

3) and the amount of time required to fill the pool =  12 hours 46 minutes

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The area of the rectangle given in the question is 36cm²

The area of figure can be computed thus:

Area of rectangle= Length × width

The figure can be broken down into two different rectangles :

Area of Rectangle 1 = 3cm × 4cm = 12cm²

Area of Rectangle 2 = 6cm × 4cm = 24cm²

Area of the figure = (Area of Rectangle 1 + Area of Rectangle 2)

Area of figure = 12 + 24 = 36cm²

Therefore, the area of the figure is 36cm².

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(a) The log returns of Apple Inc and Johnson & Johnson do not follow a normal distribution.

(b) The tails of the log returns of both stocks are compared with a t-distribution with 4 degrees of freedom.

(a) To determine if the log returns of Apple Inc and Johnson & Johnson follow a normal distribution, we can perform a normality test, such as the Shapiro-Wilk test, Anderson-Darling test, or Kolmogorov-Smirnov test, on the log return data. If the p-value from the test is less than the chosen significance level (e.g., 0.05), we reject the null hypothesis of normality.

(b) To compare the tails of the log returns with a t-distribution, we can fit a t-distribution with 4 degrees of freedom to the data and compare the probability density functions (PDFs) of the t-distribution and the empirical distribution of the log returns.

This can be visually assessed by plotting the PDFs or quantitatively analyzed using statistical measures such as the Kullback-Leibler divergence or the Kolmogorov-Smirnov test.

(c) To compare the distributions of the log returns during the 2008 financial crisis and two years after the crisis, we can create side-by-side boxplots, histograms, and QQ-plots. The boxplots will show the distribution's central tendency, spread, and skewness.

The histograms will provide a visual representation of the frequency distribution, and the QQ-plots will compare the quantiles of the log returns with the theoretical quantiles of a normal distribution.

(d) To determine the appropriate degree of freedom for modeling the log returns of Apple Inc two years after the financial crisis, we can fit various t-distributions with different degrees of freedom to the data and compare their goodness-of-fit using statistical measures like Akaike Information Criterion (AIC) or Bayesian Information Criterion (BIC).

The best fitting t-distribution will have the lowest AIC or BIC value. A QQ-plot and a histogram with the overlayed density of the best fitting t-distribution can be used to visually assess the goodness-of-fit.

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Answer:

the espression are equivalent

Step-by-step explanation:

4x - 2x + 4 = 2 (x + 2)

2x + 4 = 2x + 4

the espression are equivalent

Answer:

x = 36

Step-by-step explanation:

144 + x = 36

*it's same side interior angles*

The standard deviation is a statistical measure that provides information on the spread or dispersion of data around the mean value. It is calculated as the square root of the variance and is usually expressed in the same units as the data. The standard deviation helps to evaluate the consistency and range of a data set in the following three ways.

Firstly, the standard deviation reflects the degree of variation or diversity in the data. A higher standard deviation indicates that the data points are more spread out and diverse, while a lower standard deviation implies that the data points are more clustered and consistent. For instance, if we compare two data sets with the same mean value but different standard deviations, we can say that the one with the higher standard deviation has a wider range and more variable values.

Secondly, the standard deviation can be used to identify outliers or extreme values in the data set. Outliers are data points that lie far away from the mean and can affect the overall analysis or conclusions drawn from the data. By calculating the standard deviation, we can determine the range within which most of the data points lie and detect any values that fall outside that range.

Thirdly, the standard deviation is essential in hypothesis testing and decision-making based on statistical inference. It helps to assess the significance of differences or similarities between two or more data sets and determine whether they are due to chance or actual differences in the underlying populations. The standard deviation serves as a basis for calculating confidence intervals, z-scores, and p-values, which are used to test hypotheses and draw conclusions.

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Answer: 72.97 Minutes

Step-by-step explanation: We have two cars, A and B, traveling along a straight road. Car A is moving at a constant speed of 77.0 km/h, while car B is moving at a constant speed of 114 km/h. At the starting point (t=0), car B is 45.0 km behind car A.

To figure out how long it takes for car B to catch up and overtake car A, we need to consider their relative speeds. The relative speed is the difference between the speed of car B and the speed of car A.

Relative speed = Speed of car B - Speed of car A

Relative speed = 114 km/h - 77.0 km/h

Relative speed = 37.0 km/h

So, car B is moving 37.0 km/h faster than car A. Now, we need to determine the time it takes for car B to cover the initial distance between them, which is 45.0 km.

To calculate time, we use the formula: Time = Distance / Speed. In this case, the distance is 45.0 km, and the speed is the relative speed of 37.0 km/h.

Time = 45.0 km / 37.0 km/h ≈ 1.2162 hours

Now, let's convert the time to minutes by multiplying it by 60 (since there are 60 minutes in an hour).

Time = 1.2162 hours * 60 minutes/hour ≈ 72.97 minutes

Therefore, it takes approximately 1.2162 hours or 72.97 minutes for car B to catch up and overtake car A.

Hope this helps!

Answer:

Base=40m and

Altitudes=20m

Step-by-step explanation:

Area of the field can be calculated as

Area= total cost / rate

Where total cost= 4,000 rupees

Rate= 10 per m2

Area of the field= 4000/10

= 400m^2

Let the altitudes be denoted as "x metre"

Then the base = 2x

Area= 1/2bh

Where b= base

h= altitudes

Then if we substitute we have

400m^2= 1/2× x × 2x

400= x^2

x= √400

x=20m

Then altitudes = 20m

the base = 2x= 2×20=40m

Hence, it base and altitude are 40m and 20m respectively.

Answer: its associative property Hope I helped

Step-by-step explanation:

In this case, the monthly payment for the car loan would be approximately $1,299.13.

To calculate the monthly payment for a bank loan using Excel, you can use the PMT function.

Here's how to do it:

1. Open Excel and create a new spreadsheet.

2. In cell A1, enter the loan amount: -40000 (negative because it's an outgoing payment).

3. In cell A2, enter the annual interest rate: 9%.

4. In cell A3, enter the loan duration in years: 3.

5. In cell A4, enter the formula to calculate the monthly payment: =PMT(A2/12, A3*12, A1).

6. The result in cell A4 will be the monthly payment.

So, in this case, the monthly payment for the car loan would be approximately $1,299.13.

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1)

a) 1/20

b) 19/20

c) 12/20

d) not sure

e) 8/20

2)

a) 3/6

b) 2/6

c) not sure

d) 3/6

Please mark brainlist took 5 minutes to do

After evaluating the expressions,

f(a+1) - f(a) = 2a - 6.

f(4+h) - f(4) = 64h + 8h^2.

To find the expression for f(a+1) - f(a) when f(x) = x^2 - 7x, we substitute (a+1) and a into the function and simplify:

f(a+1) - f(a) = ((a+1)^2 - 7(a+1)) - (a^2 - 7a)

             = (a^2 + 2a + 1 - 7a - 7) - (a^2 - 7a)

             = a^2 + 2a + 1 - 7a - 7 - a^2 + 7a

             = 2a + 1 - 7

             = 2a - 6

Therefore, f(a+1) - f(a) simplifies to 2a - 6.

Similarly, when f(x) = 8x^2, we substitute (4+h) and 4 into the function and simplify:

f(4+h) - f(4) = 8(4+h)^2 - 8(4)^2

             = 8(16 + 8h + h^2) - 8(16)

             = 128 + 64h + 8h^2 - 128

             = 64h + 8h^2

Therefore, f(4+h) - f(4) simplifies to 64h + 8h^2.

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Answer:

(x+3) and (5x-2)

Step-by-step explanation:

first get everything onto one side

5x^2+13x-6=0

then multiply 5 by 6 to get 30 and 15 times 2 is thirty and 15-2=13

5x^2+15x-2x-6=0

then split in half and factor both sides

5x^2+15x factored is 5x(x+3)

-2x-6 factored is -2(x+3)

so the answer is (x+3) and (5x-2)

Answer:

A answer is: m = (626 - 27 x 6)/8

The diagonal measurement as √5625 ft, which is approximately 75 feet, the correct answer is B. 75 ft 0 in.

The diagonal measurement of the rectangular slab on grade can be found using the Pythagorean theorem. The diagonal is the hypotenuse of a right triangle formed by the length and width of the slab.

To calculate the diagonal measurement, we can apply the Pythagorean theorem:

Diagonal² = Length² + Width²

Substituting the given values, we have:

Diagonal² = (60 ft 0 in.)² + (45 ft 0 in.)²

Calculating this expression, we find:

Diagonal² = 3600 ft² + 2025 ft²

Diagonal² = 5625 ft²

Taking the square root of both sides, we obtain:

Diagonal = √5625 ft

Diagonal ≈ 75 ft

Therefore, the diagonal measurement of the rectangular slab on grade is approximately 75 feet.

To find the diagonal measurement of the rectangular slab on grade, we can use the Pythagorean theorem,

which states that in a right triangle, the square of the length of the hypotenuse (diagonal) is equal to the sum of the squares of the other two sides (length and width).

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Answer:

51,000 I am pretty sure

Step-by-step explanation:

If c is the numebr of customers in hundreds divide 3200/100 which is 32

so we can just write c as 32.

12.75*root(5,32^2)

5th root of 32^2 Or 1024 is 4.

12.75*4

51

The profit is in thousands so 51*1000 is 5100

Answer:

x = -0.2 and x = -3.5

Step-by-step explanation:

Combine like terms in the given equation, by subtracting 2x^2 from both sides:

6x^2 + 15x + 3 = 2x^2

-2x^2                = -2x^2

----------------------------------

4x^2 + 15x + 3 = 0

This is a quadratic equation.  We'll find the two solutions using the quadratic equation

      -b ± √(b^2 - 4ac)

x = ---------------------------

                  2a

Here the coefficients of the quadratic are a = 4, b = 15 and c = 3.

Thus, the discriminant b^2 - 4ac is 15^2 - 4(4)(3), or +177

and from that we know we'll find two real, unequal roots.

                                -15 ± √177

The roots are:  x = ------------------- , or x = -0.2 and x = -3.5

                                         8

The 95% confidence interval for the true difference between the population means is approximately (17.657, 26.343).

To find the 95% confidence interval for the true difference between the population means, we can follow these steps:

Find the critical value:

Since the sample sizes are small (n₁ = 8, n₂ = 8), we need to use the t-distribution. With a 95% confidence level and (n₁ + n₂ - 2) degrees of freedom, the critical value can be found using a t-table or a t-distribution calculator. The degrees of freedom for this case would be (8 + 8 - 2) = 14. Let's denote the critical value as t*.

Find the standard error:

The standard error (SE) can be calculated using the formula:

SE = sqrt[(s₁²/n₁) + (s₂²/n₂)]

where s₁ and s₂ are the sample standard deviations, and n₁ and n₂ are the sample sizes.

Construct the confidence interval:

The confidence interval can be calculated using the formula:

CI = (X₁ - X₂) ± (t* * SE)

where X₁ and X₂ are the sample means, t* is the critical value, and SE is the standard error.

Given the data:

n₁ = 8, X₁ = 128, s₁ = 5

n₂ = 8, X₂ = 106, s₂ = 3

Let's calculate the values:

Finding the critical value:

Using a t-table or a t-distribution calculator with a 95% confidence level and 14 degrees of freedom, the critical value is approximately 2.145 (rounding to three decimal places).

Finding the standard error:

SE = sqrt[(5²/8) + (3²/8)] ≈ 2.020 (rounded to the nearest whole number).

Constructing the confidence interval:

CI = (128 - 106) ± (2.145 * 2.020)

= 22 ± 4.343

= (17.657, 26.343) (rounded to three decimal places)

Therefore, the 95% confidence interval for the true difference between the population means is approximately (17.657, 26.343).

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Answer:

I think it's D

Step-by-step explanation:

Additive and inverse I think is opposite so it might be D being the opposite of -4 1/4

Actually, it is important to obtain a value greater than zero for the chi-square statistic, as this indicates that there is a significant difference between the observed and expected frequencies in a dataset.

A value of zero would indicate that there is no difference, while a negative value would indicate a mistake in the calculation.

The chi-square statistic is a measure of the discrepancy between observed and expected data and is commonly used in statistical analysis.

Hi! It is important to note that you cannot obtain a value less than zero for the chi-square statistic.

The chi-square statistic is always a non-negative value because it is calculated using the squared differences between observed and expected values. If you obtain a negative value, a mistake might have been made during the calculations.

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Answer:

x = 3,17 in

Step-by-step explanation:

Movie poster dimensions:

8,5  and 11  inches

Let´s call  "x" the side of the square, to cut in each corner, then the volume of the open box will be:

V(ob)  = ( 8,5 - x ) * ( 11 - x )* x

Then volume as a function of x

V(x)  =  ( 8,5 - x ) * ( 11 - x )* x    or    V(x)  = ( 93,5 - 8,5*x - 11*x + x² )*x

V(x)  = 93,5*x -19,5*x² + x³

Taking derivatives on both sides of the equation:

V´(x) =  93,5 - 39*x  +  3*x²

V´(x) = 0    ⇒     93,5 - 39*x  +  3*x² = 0

3*x² - 39*x  + 93,5  = 0

Solving for x

x₁,₂  = ( 39 ± √1521 - 1122 )/6

x₁,₂  =  39 ± 19,97 / 6

x₁  = 19,03/6        x₁  = 3,17 in

x₂  =  58,97 / 6   x₂  = 9,83       dismiss this root (we can´t cut  2 pieces of 9,83 from 8,5 inches

x = 3,17 in

Answer:

Step-by-step explanation:stanley chuppa mi colla