A rectangle has a fun property. The value of its perimeter is equal to the value of its area. The rectangle has a length of 2x feet and a width of 3 feet. 1. Write the equation perimeter equals to the area. 2. Solve for 'x' 3. Write both the value of the perimeter and the value of the area.

Answer:

the answer is 40 you are welcome

Answer:

x = 0.5

Step-by-step explanation:

Step 1: Write equation

7 + 3x - 12x = 3x + 1

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

7 + 3(0.5) - 12(0.5) = 3(0.5) + 1

7 + 1.5 - 6 = 1.5 + 1

8.5 - 6 = 2.5

2.5 = 2.5

Answer:

X= 1/2

x=0.5

Step-by-step explanation:

Answer:

5.7, 6.9, 5, 7.1

Step-by-step explanation:

The absolute value of a number shows its distance from 0 on the number line, meaning it must always be positive since distance is positive. You have to perform the operations indicated on each expression to the left and match it to the correct value on the right. I got 5.7, 6.9, 5, 7.1 in order from top to bottom after adding and subtracting the numbers to the left.

Answer:

the first one on the left, goes to the third one on the right. the second one on the left goes to the first one on the right. the third one on the left goes to the fourth one on the right. the first one on the left goes to the second one on the right. Sorry if this is confusing :(

A certain plane is described by 2x+3y+4z=16. Find the unit vector normal to the surface in the direction away from the origin.Firstly, we will obtain the coefficients of the x, y and z variables from the equation of the plane:2x + 3y + 4z = 16The coefficients are 2, 3, and 4 respectively.

Now, we will calculate the magnitude of the normal vector, ||N||, using the formula:||N|| = √(a² + b² + c²)where a, b, and c are the coefficients of the x, y, and z variables respectively.||N|| = √(2² + 3² + 4²)= √(4 + 9 + 16)= √29Therefore, the unit normal vector in the direction away from the origin is given by:N = (2/√29) i + (3/√29) j + (4/√29) k. Given the equation of a plane as 2x + 3y + 4z = 16, we have to find the unit vector normal to the surface in the direction away from the origin. Here's how we can do it:To find the unit vector normal to the surface, we first need to find the coefficients of the x, y, and z variables from the equation of the plane. In this case, the coefficients are 2, 3, and 4 respectively.Next, we can use the formula ||N|| = √(a² + b² + c²) to calculate the magnitude of the normal vector, where a, b, and c are the coefficients of the x, y, and z variables respectively. In this case, ||N|| = √(2² + 3² + 4²) = √29.Finally, we can find the unit normal vector in the direction away from the origin by dividing each coefficient by the magnitude of the normal vector, ||N||. Thus, the unit normal vector is:N = (2/√29) i + (3/√29) j + (4/√29) k

Therefore, the unit vector normal to the surface in the direction away from the origin is (2/√29) i + (3/√29) j + (4/√29) k.

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The ratio of the volume of the Sun to the volume of the Earth can be calculated using the formula for the volume of a sphere, V = (4/3)πr³, where r is the radius of the sphere.

Since we know that the diameter of the Sun is about 100 times the diameter of the Earth, we can say that the radius of the Sun is 50 times the radius of the Earth.

Therefore, the ratio of the volumes of the Sun and the Earth can be expressed as follows:

V (Sun) = (4/3)π(50r)³V (Earth)

            = (4/3)πr³V (Sun) / V (Earth)

            = [(4/3)π(50r)³] / [(4/3)πr³]V (Sun) / V (Earth)

            = (50³r³) / r³V (Sun) / V (Earth)

            = 50³V (Sun) / V (Earth)

            = 125,000,000

So, the best approximation for the ratio of the volume of the Sun to the volume of the Earth is 10⁸ (which is answer choice D).

Therefore, option (D) is the correct option.

Note: A helpful tip to remember this formula is to divide the volume of a sphere by π/6, which will give you the formula for the surface area of a sphere.

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Answer:

The answer is "800"

Step-by-step explanation:

The total tax  = $ 960

Total number of days  =300

day =300

Seller credit =?

Formula:

[tex]\bold{\text{Seller credit} = \frac{\text{total tax} \times \text{number of days}}{\text{day}}}[/tex]

                   [tex]= \frac{960 \times 300}{360}\\\\= \frac{32 \times 300}{12}\\\\= 8 \times 100\\\\=800[/tex]

Answer:

i think but not sure this is 16

abswer 16

Answer:

Step-by-step explanation:

[tex]5z-13=-3[/tex]

Collect like terms and simplify

[tex]5z = -3+13\\\\5z =10[/tex]

Divide both sides of the equation by 5

[tex]\frac{5z}{5} = \frac{10}{5} \\\\Simplify\\\\z = 2[/tex]

You can approximate the probability using the standard normal distribution table by looking up the closest values for Φ(2) and Φ(1).

To calculate the probability P(1 < z < 2) for a standard normal random variable, we can use the cumulative distribution function (CDF) of the standard normal distribution.

The CDF gives us the probability that a standard normal random variable is less than or equal to a given value. We can use this information to calculate the probability between two values.

Let's denote the CDF of the standard normal distribution as Φ(z). The probability P(1 < z < 2) can be calculated as follows:

P(1 < z < 2) = Φ(2) - Φ(1)

To calculate this, we need to look up the values of Φ(2) and Φ(1) from a standard normal distribution table or use a calculator/computer software. However, since I don't have access to real-time computations in this environment, I am unable to provide the exact numerical value.

But you can use statistical software or online calculators to find the precise value. Alternatively, you can approximate the probability using the standard normal distribution table by looking up the closest values for Φ(2) and Φ(1).

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Answer:

X = 105

Y = 75

Z= 75

Step-by-step explanation:

Answer: x=105

y=75

a=75

Step-by-step explanation: c because of VAT. Y because of linear pair. A because of VAT

To plot the failure locus and load line, we need specific data points or equations that define them. The failure locus represents the failure criterion or limit for a given material or structure, and the load line represents the applied loads or stresses. Without this information, we cannot plot them accurately.

Once the failure locus and load line are plotted, we can estimate the factor of safety by measuring the distance between the failure locus and the load line at a specific point. The factor of safety is typically calculated as the ratio of the ultimate strength or capacity of a structure to the applied loads. By measuring the distance between the failure locus and the load line, we can determine the margin of safety.

Please provide the necessary data or equations for the failure locus and load line so that we can assist you further in plotting and estimating the factor of safety.

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Answer:

For y=Ax? +BX+ +C, a. find y' f'(x) = 3* Ax2+2*Bx+0 f(x) = 3 Ax2+2Bx b. find the value(s) of x so that y'=l. f(0) = 3A(0)2+2B(0) f(0) = 0 c. find y" f''(x) = 2*3Ax+3B(1) f'(x) = 6Ax+3B

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

1.) move all terms that are not x to the right side.of the inequalities.

10+x≤20 4x≥-24

-10 -10 4 4

x≤10 x≥-6

2.) combine the two equations to make -6≤x≤10

Step-by-step explanation:

here is ur answer

i hope i can help u more

Answer:

T/F/T/T

Hope this helps

Answer

The graph of the equation is the set of points that are solutions to the equation.

Point (1, 2) lies on the graph of the equation.

Step-by-step explanation:

I took the test

Answer:

The initial height is 5 feet.

The initial velocity of the object is –72 feet/second.

The object will hit the ground after approximately 4.57 seconds.

After 3 seconds, the object is 173 feet high.

So t = 0, h(t) = 0

Step-by-step explanation:

The Neighbor-Joining tree generated using the pair-wise distance matrix may not be the most parsimonious one.

Let's start by calculating the pair-wise distance matrix, which represents the total number of changes between each pair of sequences. Each change can be a substitution, insertion, or deletion. Once we have the distance matrix, we can construct the Neighbor-Joining tree by iteratively joining the closest sequences.

The Neighbor-Joining tree is a commonly used method to infer phylogenetic relationships. However, it is important to note that it may not always represent the most parsimonious tree. The parsimony principle assumes that the tree with the fewest number of changes is the most likely tree. In other words, it seeks to minimize the total number of evolutionary changes required to explain the observed sequences.

The Neighbor-Joining tree, on the other hand, is based on the concept of minimizing the total branch length of the tree, which may not necessarily correspond to the fewest number of changes. Therefore, the Neighbor-Joining tree may differ from the most parsimonious tree in terms of the sequence of branching events or the number of changes required. It is always advisable to consider multiple methods and evaluate the support for different tree topologies to obtain a comprehensive understanding of the phylogenetic relationships.

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Complete Question

The histogram from this question is shown on the first uploaded image

Answer:

The first quartile is  [tex]1st Q = 19^{th} girl (subject ) = 1 \serving\ of\ fruit\ per\ day[/tex]

The median is   [tex]Median  = 38 ^{th} \ girl (subject) =  2 \serving\ of\ fruit\ per\ day [/tex]

The third quartile  is [tex]3rd Q =  56^{th} \  girl (subject) = 4 \serving\ of\ fruit\ per\ day [/tex]  

The  mean is  [tex]\= x = 2.62[/tex]

Step-by-step explanation:

From the question we are told that

   The total  number of girls is n =  74

Generally the median is mathematically represented as

       [tex]Median  =  \frac{\frac{n}{2}  +[ \frac{n}{2} + 1]  }{2}[/tex]

So

          [tex]Median  =  \frac{\frac{74}{2}  +[ \frac{74}{2} + 1]  }{2}[/tex]

=>         [tex]Median  =  \frac{37  +38 }{2}[/tex]

=>         [tex]Median  =37.5 \  girl  [/tex]    

From the histogram [tex]37.5 \approx 38^{th} \ girl[/tex] fall under 2 fruits per day

Generally the first quartile is mathematically represented as

      [tex]1st \ Q =  \frac{\frac{n}{4} + [\frac{n}{4} + 1]  }{2}[/tex]

=>    [tex]1st \ Q =  \frac{\frac{74}{4} + [\frac{74}{4} + 1]  }{2}[/tex]

=>     [tex]1st \ Q = 19 \  girl [/tex]

From the histogram [tex]19^{th} [/tex]girl fall under 1 fruit per day

 Generally the third quartile is mathematically represented as

     [tex]3rd\  Q =  \frac{\frac{n}{2}  + n }{2}[/tex]

=>    [tex]3rd\  Q =  \frac{\frac{74}{2}  + 74 }{2}[/tex]

=>    [tex]3rd\  Q =  55.5 [/tex]

From the histogram [tex]55.5 \approx 56^{th} \ girl[/tex] fall under 4 fruits per day

Generally from the histogram table the frequency  [number of subjects (girls) ]  and the servings of fruit per day can be represented as

                                                                                                               Total

x(servings per day )        0     1     2     3     4     5    6     7      8    

f (number of subjects )   15    11   15     11    8     5    3     3      3    [tex]\sum f  =  74[/tex]

xf                                       0    11    30   33   32  25   18   21     24    [tex]\sum xf =  194[/tex]

Generally the mean is mathematically represented as

      [tex]\= x = \frac{1}{ \sum f}  * [\sum xf][/tex]

=>     [tex]\= x = \frac{1}{ 74}  *194[/tex]

=>      [tex]\= x = 2.62[/tex]

Answer: I am not sure but I think the answer is 0.09

Answer:

12

Step-by-step explanation:

Answer:

the answer is 441 because I just did it

By using an applet, cubes can be constructed by dilating a unit cube with different scale factors. The table is then completed by calculating the surface area and volume of each dilated cube.

Dilating a cube involves scaling it uniformly in all dimensions by a certain factor. To complete the table with the surface area and volume of each dilated cube, we can use the following steps:

Use the applet to construct a unit cube, which has a side length 1 unit.

Apply each scale factor listed in the table to dilate the unit cube. This means multiplying each side length of the unit cube by the corresponding scale factor.

Calculate the surface area of each dilated cube. The surface area of a cube can be found by multiplying the area of one face by 6, as a cube has 6 equal faces.

Calculate the volume of each dilated cube. The volume of a cube is found by cubing the length of one side.

Fill in the table with the surface area and volume of each dilated cube corresponding to its scale factor.

By following these steps, we can construct cubes of different sizes by dilating the unit cube and determining their surface area and volume. The table will provide the measurements for each dilated cube based on the given scale factors.

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Answer:47

Step-by-step explanation:

Answer:

x(x^2 - 2)

Step-by-step explanation:

Answer:

Maybe C?.. Pls dont trust me I haven done this in a while.

Step-by-step explanation:

We have found that the point where the curve y = 4ex has maximum curvature is (ln(√3) / 2, 4√3 / 3). We have also found that the curvature of the curve approaches zero as x → ∞.

First, let us differentiate the given equation with respect to x to obtain the value of dy/dx.

So, y = 4ex

dy/dx = 4ex* d/dx(x)

dy/dx = 4ex

Thus, the first derivative of the given function is:

dy/dx = 4ex

The second derivative of the given function is:

d²y/dx² = d/dx

(dy/dx) = d/dx(4ex) = 4ex

As we know that the curvature of a function y = f(x) is given by

K = |d²y/dx²| / [1 + (dy/dx)²]^(3/2)

Therefore, substituting the values of dy/dx and d²y/dx² in the above equation, we get

K = 4ex / [1 + (4ex)²]^(3/2)

Thus, we have found the expression for curvature of the given curve y = 4ex.

Now, we need to find the maximum curvature of the curve.

To find the maximum curvature, we need to differentiate the curvature expression with respect to x and equate it to zero.

Then, we need to solve for the value of x to get the point where the maximum curvature occurs.

dK/dx = 0 = -24e^(3x) / [(1 + 16e^(2x))^2 * sqrt(1 + 16e^(2x))]

On solving the above equation, we get

x = ln(√3) / 2

Thus, the point where the curve has maximum curvature is (ln(√3) / 2, 4√3 / 3).

Now, let us find the value of curvature as x approaches infinity. Since the denominator of the curvature expression approaches infinity much faster than the numerator, the value of curvature approaches zero as x → ∞.

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Answer:

y=21 and x=45

Step-by-step explanation:

Hi! The answer would be all real numbers!

Hope this helps! :)

The equation in slope-intercept form is therefore:y = mx + b = -x + 4

To write the equation in slope-intercept form that corresponds with the given table, we need to use the slope-intercept formula which is:y = mx + b

where m represents the slope and b represents the y-intercept.The slope formula is given bym = (y2 - y1)/(x2 - x1)where (x1, y1) and (x2, y2) are two points on the line.

To get the equation in slope-intercept form, we need to find the slope and y-intercept from the given table. Then we'll substitute the values of m and b in the slope-intercept formula and solve for y.

Let's first identify two points from the table. We can use any two points on the line. Let's use (0, 4) and (2, 2) as they have nice values for calculations.Using the slope formula, we have:

m = (y2 - y1)/(x2 - x1) = (2 - 4)/(2 - 0) = -2/2 = -1

Substituting the value of slope (m = -1) and one of the given points (0, 4) in the slope-intercept formula,

we get:4 = -1(0) + b

Simplifying, we get:b = 4

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Answer:

y = -8

Step-by-step explanation:

1/2y - 4 = -8 (Add 4 to both sides)

1/2y = -4 (Multiply both sides by 2)

y = -8

Answer:

k = 4

Step-by-step explanation:

p(2) = (2)^4- 3(2)^2 +k(2) -2 = 10

16 - 12 - 2 + 2k = 10

2 +2k = 10

2k = 10 - 2 = 8

k = 4

Answer:

79 1/7

Step-by-step explanation: