Which algebraic expression represents the perimeter of the rectangle?
2x + 2
4x + 3

An expression to represent the perimeter is P = 2m + 2(m² + 11m + 28)/m

The area of the rectangle is the product of the length and width of a given rectangle.

The area of the rectangle = length × Width

We are given that;

The expression m² + 11m + 28

Now,

Let's assume that the length of the rectangle is "m" and the width is "n".

The formula for the area of a rectangle is A = l × w. We are given that the area of the rectangle is m² + 11m + 28, so we can write:

A = m² + 11m + 28

Substituting the formula for the area, we get:

m² + 11m + 28 = m × n

We can rearrange this equation to solve for n:

n = (m² + 11m + 28) / m

The perimeter of a rectangle is given by the formula P = 2(l + w). Substituting the values of l and w, we get:

P = 2(m + n)

Substituting the value of n, we get:

P = 2(m + (m² + 11m + 28) / m)

P = 2m + 2(m² + 11m + 28) / m

Therefore, by the given area of rectangle perimeter will be 2m + 2(m² + 11m + 28) / m

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Answer:

2

Step-by-step explanation:

Ok, so let us assume that AB = x, from here we know the length of AC is xsqrt(2).

So,

area of ABCD = area of ACEG = x^2

From here, AG = x^2/xsqrt(2), which equals xsqrt(2)/2

Finally, AC to CE = xsqrt(2) : xsqrt(2)/2

which is 2/1

Answer:

C is the answer.

Answer:

It's C

Step-by-step explanation:

the answer is

x = +/- 7/2

The integral ∫10^13 w'(t) dt represents the change in the child's weight (in pounds) between the ages of 10 and 13.

The integral of w'(t) represents the accumulation of the rate of growth, which in this case is the rate of growth of the child's weight. By integrating w'(t) from 10 to 13, we are calculating the total change in weight during this time period

The notation ∫10^13 w'(t) dt represents the definite integral of w'(t) with respect to t, evaluated from t = 10 to t = 13. This means we are finding the area under the curve of the rate of growth function between the ages of 10 and 13.

Since w'(t) represents the rate of growth of the child's weight in pounds per year, integrating it over the time period from 10 to 13 gives us the total change in weight during those three years.

Therefore, the integral ∫10^13 w'(t) dt represents the change in the child's weight (in pounds) between the ages of 10 and 13, providing insight into how much weight the child gained or lost during that time period.

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Answer:

100-25

Step-by-step explanation:

Answer: 100-25

Step-by-step explanation:

By the using this method. We get, the correct determinant is 68.

Given Determinant:

\(\left|\begin{array}{ccc}1&0&-4\\3&-4&0\\-1&-4&1\end{array}\right|\)

\((-1)\left|\begin{array}{cc}-4&0\\-4&1\end{array}\right] +0\left|\begin{array}{cc}3&0\\-1&1\end{array}\right|+(-4)\left|\begin{array}{cc}3&-4\\-1&-4\\\end{array}\right|\)

= (-1)(-4-0) +0 - 4(-12 -4)

= -1 (-4) + 0 -4(-16)

= 4 + 64

= 68.

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Complete Question:

The expansion of a 3×3 determinant can be remembered by this device. write a second copy of the first two columns to the right of the​ matrix, and compute the determinant by multiplying entries on six diagonals. add the downward diagonal products and subtract the upward products. use this method to compute the following determinant.

\(\left|\begin{array}{ccc}1&0&-4\\3&-4&0\\-1&-4&1\end{array}\right|\)

Please make sure your question is formatted correctly and ill answer it for you.

Answer:

y= -6/5x +3

Step-by-step explanation:

y = mx + b is the formula for every linear equation. m is the slope (comment if you don't know how to find the slope), and b is the y-intercept. You just have to find those terms and plug them in.

Answer:

c. 1/4

Step-by-step explanation:

The probability that fewer than 4 are independent = 0.971

Let X be a random variable representing the number of independent people out of 12 people.

Then X follows binomial distribution.

A binomial distribution considers two possibilities in 'n' trials -  success or  failure. Here the case of success is being independent and the case of failure is being either republican or democrat.

The probability distribution function of a binomial distribution is,

P(X = x) = ⁿCₓ pˣ (1-p)ⁿ⁻ˣ

Where n is the number of trials, p - the probability of success

Here, n = 12

Since 6% of voters are independent, probability of being an independent = 6/100 = 0.06

Probability that fewer than 4 are independent = P( X = 0 or 1 or 2 or 3)

                                                                             = P( X = 0) + P(X = 1) + P(X = 2) + P(X = 3)

Now, P(X=0) = ¹²C₀ (0.06)⁰ (1-0.06)¹²⁻⁰

                      = 1 x 1 x 0.4759

                      = 0.4759

P(X = 1) = ¹²C₁ (0.06)¹ (1-0.06)¹²⁻¹

           = 12 x 0.06 x 0.94¹¹

           = 0.3645

P(X = 2) = ¹²C₂ (0.06)² (1-0.06)¹²⁻²

             = 66 x (0. 06)² x 0.94¹⁰

            = 0.128

P(X = 3) =  ¹²C₃ (0.06)³ (1-0.06)¹²⁻³

             = 22 x 0.000216 x 0.94⁹

             = 0.00272

Therefore, Probability that fewer than 4 are independent = P( X = 0) + P(X = 1) + P(X = 2) + P(X = 3) =  0.4759 + 0.3645 +  0.128 + 0.00272 = 0.971

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Answer:

Simplify:

=35+30s+−45t

=30s−45t+35

Factor:

30s−45t+35

=5(6s−9t+7)

5(6s−9t+7)

Step-by-step explanation:

Can you give me Brainliest please

Answer:

\(\frac{(8+2)^2}{2} = 50\)

\(10+5^2-3 * 2^2 = 23\)

Step-by-step explanation:

\(\frac{(8+2)^2}{2}\)

\(\frac{10^2}{2}\)

\(\frac{100}{2}\)

50

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

\(10+5^2-3 * 2^2\)

\(10+25-3 * 4\)

\(10+25-12\)

\(35-12\)

23

Work Shown:

B = p*(1+r)^t

B = 4530*(1+0.11)^5

B = 7,633.313442603 approximately

B = 7633.31                  round to the nearest cent

Answer:

2 \(\frac{3}{4}\)

Step-by-step explanation:

2 + \(\frac{3}{4}\)

= 2 \(\frac{3}{4}\) ← as a mixed number

To find the tangential and normal components of acceleration, as well as the tangential and normal acceleration, we need to differentiate the position function with respect to time.

Given: r(t) = a cos(ot) i + a sin(ot) j

Differentiating r(t) with respect to t, we get:

v(t) = -a o sin(ot) i + a o cos(ot) j

Differentiating v(t) with respect to t, we get:

a(t) = -a o²cos(ot) i - a o² sin(ot) j

Now, let's calculate the components:

T(t) (Tangential component of acceleration):

To find the tangential component of acceleration, we take the dot product of a(t) and the unit tangent vector T(t).

The unit tangent vector T(t) is given by:

T(t) = v(t) / ||v(t)||

Since ||v(t)|| = √(v(t) · v(t)), we have:

||v(t)|| = √((-a o sin(ot))² + (a o cos(ot))²) = a o

Therefore, T(t) = (1/a o) * v(t) = -sin(ot) i + cos(ot) j

N(t) (Normal component of acceleration):

To find the normal component of acceleration, we take the dot product of a(t) and the unit normal vector N(t).

The unit normal vector N(t) is given by:

N(t) = a(t) / ||a(t)||

Since ||a(t)|| = √(a(t) · a(t)), we have:

||a(t)|| = √((-a o² cos(ot))²+ (-a o² sin(ot))²) = a o²

Therefore, N(t) = (1/a o²) * a(t) = -cos(ot) i - sin(ot) j

T(1) (Tangential acceleration at t = 1):

To find the tangential acceleration at t = 1, we substitute t = 1 into T(t):

T(1) = -sin(1) i + cos(1) j

N(1) (Normal acceleration at t = 1):

To find the normal acceleration at t = 1, we substitute t = 1 into N(t):

N(1) = -cos(1) i - sin(1) j

at (Magnitude of tangential acceleration):

The magnitude of the tangential acceleration is given by:

at = ||T(t)|| = ||T(1)|| = √((-sin(1))²+ (cos(1))²)

an (Magnitude of normal acceleration):

The magnitude of the normal acceleration is given by:

an = ||N(t)|| = ||N(1)|| = √((-cos(1))² + (-sin(1))²)

Simplifying further:

an = √[cos²(1) + sin²(1)]

Since cos²(1) + sin²(1) equals 1 (due to the Pythagorean identity for trigonometric functions), we have:

an = √1 = 1

Therefore, the magnitude of the normal acceleration an is equal to 1.

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Answer:

y

2

​

=−

2

z

​

+7

Steps for Solving Linear Equation

z=18−2×2−2y2

Multiply 2 and 2 to get 4.

z=18−4−2y

2

​

Subtract 4 from 18 to get 14.

z=14−2y

2

​

Swap sides so that all variable terms are on the left hand side.

14−2y

2

​

=z

Subtract 14 from both sides.

−2y

2

​

=z−14

Divide both sides by −2.

−2

−2y

2

​

​

=

−2

z−14

​

Dividing by −2 undoes the multiplication by −2.

y

2

​

=

−2

z−14

​

Divide z−14 by −2.

y

2

​

=−

2

z

​

+7

Step-by-step explanation:

the given equation defines a paraboloid that lies below the plane z=0. Specifically, it is situated above the xy-plane, which means that the z-values of all points on the surface are greater than or equal to zero.

we can break down the equation z=18-2x^2-2y^2. This equation represents a paraboloid with its vertex at (0,0,18) and axis of symmetry along the z-axis. The first term 18 is the z-coordinate of the vertex and the last two terms -2x^2 and -2y^2 determine the shape of the paraboloid.

Since the coefficient of x^2 and y^2 terms are negative, the paraboloid is downward facing and opens along the negative z-axis. Therefore, all points on the paraboloid have z-values less than 18. Additionally, since the paraboloid is situated above the xy-plane, its z-values are greater than or equal to zero.

the paraboloid defined by the equation z=18-2x^2-2y^2 is situated below the plane z=0 and above the xy-plane. Its vertex is at (0,0,18) and it opens along the negative z-axis.

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According to the model, the average number of pizza sold in one night if no coupons were issued is 43.

The scatter plot below shows the number of pizza sold during weeks when different numbers of coupon were issued.

The equation represents the linear model for the data.

y = 3.4x + 43

where

According to the model, the average number of pizza sold in one night if no coupons were issued can be calculated as follows:

Therefore, using the model,

y = 3.4x + 43

y = 3.4(0) + 43

y = 43

Therefore, the average number of pizza sold is 43.

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Answer:

Transaction Fee

- Lisa sold 50 shares of stock A on a given day. Her broker charged her $12 for this trade.

- Reggie’s broker charged him a front-end load of 2.75% when he purchased a fund.

Non-Transaction Fee

- Joanne’s brokerage firm charged her for providing investment information to help her make informed choices.

- Pete isn’t a regular investor. He hasn’t bought or sold any stock this year. His broker charged him an inactivity fee of $75 for the year.

- John’s broker provided him with stock-trading software to manage his trading.

Step-by-step explanation:

Got it right on plato :)

Answer:

Transaction fee:

Lisa sold 50 shares of stock A on a given day. Her broker charged her $12 for this trade.

Reggie’s broker charged him a front-end load of 2.75% when he purchased a fund.

Non-transaction fee

Joanne’s brokerage firm charged her for providing investment information to help her make informed choices.

John’s broker provided him with stock-trading software to manage his trading.

Pete isn’t a regular investor. He hasn’t bought or sold any stock this year. His broker charged him an inactivity fee of $75 for the year.

Answer:

x = 13

Step-by-step explanation:

Use the distributive property to multiply  \(\frac{1}{2}\) by x - 6

-

Multiply \(\frac{1}{2} and -6\)

= \(\frac{-6}{2}\)

-

Divide −6 by 2 to get −3.

-

Add −3 and 12 to get 9.

-

Subtract \(\frac{3}{2} x\) from both sides

-

Combine \(\frac{1}{2} x\) and \(-\frac{3}{2} x\) to get -x

-x + 9 = -4

Subtract 9 from both sides.

-x = -4 - 9

Subtract 9 from −4 to get −13.

-x = -13

Multiply both sides by −1.

x=13

Answer:

X=13

Step-by-step explanation:

my explanation is above hope this helps.

Answer:

Using the y2-y1/x2-x1 formula you can get the slope. You can find the slope by doing 7-5/5-2 which is 2/3, the slope.

Answer:

64 cm

Step-by-step explanation:

Answer:

64 cm is equal to 640 mm. Therefore, 64 cm is greater than 630 mm by 10 mm.

Answer:

(43,560 ÷ 2) × 10

Step-by-step explanation:

Yes, we can indeed support the claim that at 0.01 level of significance, the  mean completion time has decreased under new management because  the calculated t-value (-2.64) is less than the critical value (-2.492), hence we reject the null hypothesis that says the mean completion time has not decreased

The p-value is 0.005

There is need to perform a one sample t-test at 0.01 level of significance to test the claim.

The null hypothesis is that the mean completion time has not changed

Alternate hypothesis is that the mean completion time has decreased

The test statistic is given by:

t = (x - μ) / (s / √(n))

where x is the sample mean

μ is the population mean

s is the sample standard deviation

n is the sample size.

by substituting for the the given values, we have;

t = (14.2 - 14.7) / (1.7 / √(80))

t = -2.64

Using a t-distribution table with 79 degrees of freedom (n-1),

the critical value for a one-tailed test with a significance level of 0.01 is -2.492.

Since the calculated t-value (-2.64) is less than the critical value (-2.492), we reject the null hypothesis  and consider the alternative hypothesis as valid.

Therefore, there is sufficient evidence to support the claim that the mean completion time has decreased under new management.

To get the p-value, we can use a t-distribution table.

The p-value for a one-tailed test when df is 79 and calculated t-value is -2.64 is approximately 0.005.

Therefore, the p-value is 0.005 (rounded to at least 3 decimal places).

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Answer:

Natural Capitalism as an idea and thesis for a book emerged in 1994, the year after the

publication of The Ecology of Commerce. After meeting with and speaking to different

business, government, and academic institutions in the aftermath of the book's

publication, it became clear to Hawken that industry and government needed an overall

biological and social framework within which the transformation of commerce could be

accomplished and practiced. To that end, articles and papers were written that became the

basis of a book about natural capitalism. A key element of this theory was the idea that

the economy was shifting from an emphasis on human productivity to a radical increase

in resource productivity. This shift would provide more meaningful family-wage jobs, a

better worldwide standard of living to those in need, and a dramatic reduction of

humankind's impact upon the environment. So while the context for Natural Capitalism

existed in a theoretical framework, the exposition did not.

Contemporaneously, Amory and Hunter Lovins were coming to the same conclusion: that

a shared framework was needed that could harness the talent of business to solve the

world's deepest environmental and social problems. Both were writing Factor Four:

Doubling Wealth, Halving Resource Use for publication in Germany in 1995. The senior

author of Factor Four, Ernst von Weizsäcker, among Europe's top innovators in

environmental policy, had teamed up with the Lovinses to pool the experience of their

respective nonprofit research centers—Wuppertal Institute in Germany and Rocky

Mountain Institute (RMI) in Colorado. The three authors had assembled fifty case studies

of at least quadrupled resource productivity to detail how, across whole economies,

people could live twice as well but use half as much material and energy. Factor Four

showed that such striking gains in resource efficiency could be profitable, and that

obstacles to their implementation could be hurdled by combining innovations in business

practice and in public policy.

Both Factor Four and The Ecology of Commerce urged the private sector to move to the

vanguard of environmental solutions. Factor Four described a creative policy framework

that could foster fair and open competition in achieving that success. The Ecology of

Commerce suggested techniques that when combined with business's unique strengths

could enable it to meet this challenge successfully.

Hunter Lovins sent a draft of Factor Four to Paul Hawken in early 1995. He saw that it

was the exposition that natural capitalism needed if it were to make its theoretical claims

credible and demonstrable. The ideas not only meshed, they were absolutely

complementary. We agreed to work together toward one book, under the title of Natural

Capitalism, that would contain both theory and practice. After the work began, we

discovered it wasn't that simple. Factor Four was anecdotal, Europe-oriented (by 1997 it

had also been published in England after being a German bestseller for nearly two years),

and written more for policy and environmental activists than for business practitioners. It

needed not adaptation but complete rewriting. Further, the examples offered concentrated

mainly on efficiency and did not take fully into account the need for the restoration of

natural capital nor for several other important elements of natural capitalism that go far

The correct answer is (c) No, since the sample mean of 298.3 ml is in the confidence interval.

The confidence interval provides a range of plausible values for the true population mean amount of juice dispensed per bottle based on the sample mean and standard error. Since the confidence interval includes the sample mean of 298.3 ml, it suggests that the true mean amount of juice dispensed per bottle is likely to be around this value. Therefore, there is no reason to believe that the mean amount of juice in today's bottles differs from 300 ml based on this confidence interval.

Answer (a) and (b) are incorrect because they incorrectly suggest that the sample mean or the confidence interval being below 300 ml necessarily indicates a difference from the advertised value. Answer (d) is also incorrect because the fact that the advertised value falls within the confidence interval does not by itself indicate conformity with the label promise; the confidence interval includes a range of plausible values, and some of them may be quite different from the advertised value.

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Step-by-step explanation:

4x = 70 - x

4x + x = 70

5x = 70

x = 14

m∠DEA = m∠BEC = 4x

m∠DEA = m∠BEC = 4(14)

m∠DEA = m∠BEC = 56°

m∠AEB = m∠CED = [360 - 2(56)] ÷ 2

m∠AEB = m∠CED = [360 - 112] ÷ 2

m∠AEB = m∠CED = 248 ÷ 2

m∠AEB = m∠CED = 124°

Answer:

Step-by-step explanation:

15

The number of miles for which the cost of Uber and Lyft is the same is 30.

How to solve linear equations?
Given that the largest power of the variable (or pronumeral) in these equations is 1, linear equations are also known as first-degree equations. A line on the quadratic system is represented by a linear equation. This equation's general form is axe + b = 0, where a, b, and x are all integers and x is the variable. The y-axis is parallel to this form of equation's single solution, which it symbolizes.
The steps that should be followed while solving linear equations are listed below:
1) We must first determine which variable we need to isolate.
2) Next, make a distinction between variables and constants.
3) Arrange the constants on the right and the variables on the left.
4) Using established axioms, we carry out algebraic operations to determine the variable's value.

Let the number of miles covered be = x
Given, the cost of travel = Pickup Fee + Cost per mile
Given, the pickup fee for Uber = $ 0
The cost per mile for Uber = $ 0.25
Again, the pickup fee for Lyft = $ 3
The cost per mile for Lyft = $ 0.15
Thus, the cost of travel for Uber = 0 + 0.25x -- (i)
Also, the cost of travel for Lyft = 3 + 0.15x -- (ii)
As per question, (i) and (ii) are equal.
Thus, 0 + 0.25x = 3 + 0.15 x ⇒ (0.25 - 0.15)x = 3 ⇒ 0.10x = 3
⇒ x = 3/0.10 ⇒ x = 30
Thus, for 30 miles  the cost of Uber and Lyft is the same.

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The expression x + 80 represents the number of coins Arthur has now, since he x pennies and an additional 6 dimes and 4 nickels.

We shall convert the pennies, dimes and nickels into same unit before adding to get the expression for the number of coins Arthur will have in total.

A penny = 1 cent, so

x pennies = x cents

A dime = 10 cents so;

6 dimes = 6 × 10cents

6 dimes = 60 cents

A nickel = 5 cents so;

4 nickels = 4 × 5 cents

4 nickels = 20 cents

Arthur's coins in total = (x + 60 + 40) cents

Arthur's coins in total = (x + 80) cents.

Therefore, the expression expression x + 80 represents the number of coins Arthur will have in total, wether in pennies, dimes or nickels.

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Answer:

1. x-2

2. Ans :. 60 m cube

3. 104 m square

4. 2600 rs ..

Step-by-step explanation:

please give me brainliest if these are correct!

Answer:

Answer is D. (0,0) is the x- and y-intercept of the function

Step-by-step explanation:

If you try finding the x and y intercept it would be (0,0)