What is the area of the polygon given below?
A. 378 sq. units
B. 580 sq. units
C. 756 sq. units
D. 525 sq units

Answer:

Las siguientes desigualdades expresan la condición real de la medida:

\(5.2\,cm < x <5.4\,cm\), donde \(x\) es la medida captada visualmente.

O de manera más rigurosa:

\(5.2\,cm \leq (5.3 \pm \epsilon)\,cm\leq 5.4\,cm\), donde \(\epsilon\) es el sesgo no captado por el observador.

Step-by-step explanation:

La graduación de la regla es la resolución visual de la medida, equivalente a 0.1 centímetros. Entonces, la medida obtenida de 5.3 centímetros es equivalente a un valor \(x\) mayor que 5.2 centímetros y menor que 5.4 centímetros. Matemáticamente hablando, tenemos la siguiente desigualdad:

\(5.2\,cm < x <5.4\,cm\), donde \(x\) es la medida captada visualmente.

De manera más rigurosa, podemos describir el valor medido más un sesgo no captado por el observador (\(\epsilon\)), medido en centímetros, dentro del intervalo citado:

\(5.2\,cm \leq (5.3 \pm \epsilon)\,cm\leq 5.4\,cm\)

Answer:

50000

Step-by-step explanation:

Answer:

22

Step-by-step explanation:

6(3)-2(2)+8

18-4+8

14+8

22

Answer:

22

Step-by-step explanation:

6x-2y+8

(6 • 3) - (2 • 2) + 8

18 - 4 + 8

22

(i think)

Using the coupon that offers a $0.50 discount on the larger package would yield the lowest price per ounce at $0.1875. Kelsey should use this coupon to get the best value for her favorite crackers.

Kelsey has two options when it comes to purchasing her favorite crackers, and she needs to determine which coupon will result in the lowest price per ounce. To make an informed decision, Kelsey should compare the price per ounce of both cracker sizes and apply the appropriate coupon accordingly.

First, Kelsey should find the price per ounce for each size by dividing the total price of the package by the total number of ounces in the package. For example, if the smaller package costs $2.00 and contains 8 ounces of crackers, the price per ounce would be $2.00 / 8 = $0.25 per ounce. Similarly, if the larger package costs $3.50 and contains 16 ounces, the price per ounce would be $3.50 / 16 = $0.21875 per ounce.

Next, Kelsey should determine the discount offered by each coupon and calculate the new price per ounce after applying the respective coupon. For instance, if one coupon provides a 10% discount on the smaller package, the new price per ounce would be $0.25 * (1 - 0.1) = $0.225 per ounce. If another coupon offers a $0.50 discount on the larger package, the new price per ounce would be ($3.50 - $0.50) / 16 = $0.1875 per ounce.

Finally, Kelsey should compare the adjusted price per ounce for both packages and select the coupon that results in the lowest price per ounce. In this example, using the coupon that offers a $0.50 discount on the larger package would yield the lowest price per ounce at $0.1875. Therefore, Kelsey should use this coupon to get the best value for her favorite crackers.

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Answer:

x = 4

Step-by-step explanation:

4x + 5 = 2x + 13

4x - 2x + 5 = 2x - 2x + 13

2x + 5 = 13

2x + 5 - 5 = 13 - 5

2x = 8

2x ÷ 2 = 8 ÷ 2

x = 4

\(4x+ 5 = 2x + 13\)

\(\mathrm{Subtract\:}5\mathrm{\:from\:both\:sides}\)

\(4x+5=2x+13\)

\(Simplify\)

\(4x=2x+8\)

\(\mathrm{Subtract\:}2x\mathrm{\:from\:both\:sides}\)

\(4x-2x=2x+8-2x\)

\(Simplify\)

\(2x=8\)

\(\mathrm{Divide\:both\:sides\:by\:}2\)

\(\frac{2x}{2}=\frac{8}{2}\)

\(x=4\)

\(x=4\)

Answer:

$500

Step-by-step explanation:

100-12=88

88/100=440/x

88x=100(440)

88x=44000

/88.  /88

x=500

hopes this helps

The probability a student spins purple will be 25%.

Probability is defined as the ratio of the number of favorable outcomes to the total number of outcomes in other words the probability is the number that shows the happening of the event.

Probability = Number of favorable outcomes / Number of samples

Given that Mr. Hesch has 4 stations set up in his classroom. Each station is labeled with a color: blue, purple, green, or yellow. As each student enters the classroom, they spin the spinner to decide at which station they will start.

The probability will be calculated as:-

Probability = Probability = Number of favorable outcomes / Number of samples

Probability = 1 / 4

Probability = 0.25 or 25%

Hence, the probability will be 25%.

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Answer:

\(x=1\)

Step-by-step explanation:

The vertical asymptote is where \(f(x) \to \pm \infty\).

Answer:

A trapezium has one pair of parallel lines

Answer:

A inch

Step-by-step explanation:

The standard deviation needed to achieve a process capability index of 2.0 is 0.003 feet.

To calculate the required standard deviation to achieve a process capability index of 2.0, we need to use the following formula:

Process Capability Index (Cpk) = (Upper Specification Limit - Lower Specification Limit) / (6 * Standard Deviation)

In this case, the upper specification limit is 1.788 feet, the lower specification limit is 1.752 feet, and the process capability index (Cpk) is 2.0.

Let's plug in the values into the formula and solve for the standard deviation:

2.0 = (1.788 - 1.752) / (6 * Standard Deviation)

Rearranging the equation:

Standard Deviation = (1.788 - 1.752) / (6 * 2.0)

Standard Deviation = 0.036 / 12

Standard Deviation = 0.003

Therefore, the standard deviation needed to achieve a process capability index of 2.0 is 0.003 feet.

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Answer:

24 ft

Step-by-step explanation:

The perimeter is the sum of a shape's side lengths.

We can add the given side lengths of this polygon to solve for its perimeter.

2 + 4 + 3 + 7 + 4 + 4 = 24 ft

Answer:

(1/2)n

Step-by-step explanation:

I think this should be correct. A will be "1" and then for every scale (n) it will be scaled by 1/2.

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Example that demonstrates the contrapositive of the limit comparison test. Let's consider a pair of series an and bn with positive terms, where lim(n→∞)(an/bn) = 0, bn diverges, but an converges.

Let's define the series an and bn as follows:
- an = 1/\(n^2\)
- bn = 1/n

Now, let's examine the limit:
lim(n→∞)(an/bn) = lim(n→∞)((1/\(n^2\)) / (1/n))

To simplify the limit expression, we multiply both numerator and denominator by \(n^2\):
lim(n→∞)(\(n^2\)(1/\(n^2\)) / \(n^2\)(1/n)) = lim(n→∞)(n/\(n^2\)) = lim(n→∞)(1/n)

As n approaches infinity, the limit becomes:
lim(n→∞)(1/n) = 0

Now, let's check the convergence of the series an and bn:
- an = Σ(1/\(n^2\)) is a convergent p-series with p = 2 > 1.
- bn = Σ(1/n) is a divergent p-series with p = 1.

Thus, we have provided an example of a pair of series an and bn with positive terms, where lim(n→∞)(an/bn) = 0, bn diverges, but an converges. This demonstrates the contrapositive of the limit comparison test, as requested.

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The two points on the line y = -3 that are at a distance of 10 units of (4, -3) are (12, -3) and (-4, -3)

We want to find two points of the form (x, y) such that:

Remember that the distance between two points (a, b) and (c, d) are given by:

distance = √( (a - c)^2 + (b - d)^2)

Now, because of the first bullet point, we know that our points will be of the form (x, -3)

Now if we want this point to be at a distance of 10 units of (4, 3), then we can write:

distance = 10 = √( (4 - x)^2 + (3 - (-3))^2)

                 10 = √( (4 - x)^2 + (6))^2) = √( (4 - x)^2 + 36)

So we must have that:

(4 - x)^2 + 36 = 100

(4 - x)^2 = 100 - 36 = 64

(4 - x) = ±√64 = ±8

Solving this for x:

x = 4 ±8

Then the two values of x are:

x = 4 + 8 = 12

x = 4 - 8 = -4

Then the two points are (12, -3) and (-4, -3)

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Answer:

8

Step-by-step explanation:

x²-6x+1 +8=x²-6x+9=(x-3)²

Option C, "There are infinitely many solutions," accurately describes the possible solution or solutions of the system when the graphs of the linear equations coincide.

If the graphs of the linear equations in a system are the same line, it means that there are infinitely many solutions to the system.

The equations are equivalent and represent the same line in the coordinate plane. Every point on the line satisfies both equations simultaneously, making it a solution to the system.

This occurs when the equations are dependent, indicating that they are proportional or represent the same relationship between variables.

Therefore, option C, "There are infinitely many solutions," accurately describes the possible solution or solutions of the system when the graphs of the linear equations coincide.

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Answer:

5 is a posotive number and -5 is a negitave number

Step-by-step explanation:

Answer:

For positive numbers all you need to do is put a negative symdol in front of the number and you have your answer.

Step-by-step explanation:

Answer:

1/20

Step-by-step explanation:

Answer:

x = 12

Step-by-step explanation:

For q and r to be parallel, then

11x - 28 and 7x - 8 are same-side interior angles and sum to 180° , so

11x - 28 + 7x - 8 = 180 , simplify left side

18x - 36 = 180 ( add 36 to both sides )

18x = 216 ( divide both sides by 18 )

x = 12

The real size (actual height) of the model is equal to 16.5 feet.

Scales are an useful resource to represents systems in models at affordable size, scales (r) can be found by means of following ratio:

r = d' / d

Where:

If we know that r = 1 / 1.5 in / ft, d' = 11 in, then the real size of the model is:

1 / 1.5 = 11 / d

d = 16.5

The model has a real size (actual height) of 16.5 feet.

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Answer:

its 14% i just did the assignment

Step-by-step explanation:

Answer:

14 precent

Step-by-step explanation:

i took the quiz

Answer:

Term to add is (3/8)^2 = 9/64

Step-by-step explanation:

Here, we want to know the value that must be added to make the equation a perfect square.

x^2 - 3/4x = 5

x^2 -3/4x -(3/8)^2+ (3/8)^2 = 5

x^2 -3/4x + (3/8)^2 = 5 + (3/8)^2

= (x-3/8)^2 = 5 + (3/8)^2

So the term to add is (3/8)^2 = 9/64

Answer:

\(\dfrac{9}{64}\)

Step-by-step explanation:

Given the equation: \(x^2-\frac{3}{4}x=5\)

To make the left hand side of the equation a perfect trinomial, we follow these steps.

Step 1: Divide the coefficient of x by 2.

Coefficient of x \(=-\frac{3}{4}\)

\(-\frac{3}{4} \div 2 =-\frac{3}{8}\)

Step 2: Square your result from step 1

\(\implies (-\frac{3}{8})^2 \\=\dfrac{9}{64}\)

Therefore, to make the Left-Hand side a  perfect-square trinomial, we add 9/64.

Answer:

61 miles

Step-by-step explanation:

The two triangles are congruent so GF is congruent to PN.

PN = 61

The given triangle is an isosceles triangle, where two sides and two angles are congruent. The value of x is 46 degrees.

It should be noted that because the triangle is isosceles, and the base angles are x.

The following equation can be used to solve for x

x + x + 88 = 180 --- sum of angles in a triangle

So, we have:

2x + 88 = 180

Collect like terms

2x = 180 - 88

2x = 92

Divide both sides by 2

x = 92 / 2

x = 46

Hence, the measure of x is 46°

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Answer:

It would be 2=4.

Answer:

Step-by-step explanation: x=-2,2

The probability that a randomly selected household has 3 cars is given as follows:

0.19 = 19%.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

On a probability distribution, the sum of all the probabilities is of 1, hence the probability of 3 cars is obtained as follows:

0.07 + 0.19 + 0.47 + p + 0.06 + 0.02 = 1

0.81 + p = 1

p = 1 - 0.81

p = 0.19.

p = 19%.

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The energy of each photon in the beam is given by E = hc/λ, where h is Planck's constant, c is the speed of light, and λ is the wavelength. Substituting the values, we get E = (6.626 x 10^-34 J s)(2.998 x 10^8 m/s)/(500 x 10^-9 m) = 3.98 x 10^-19 J.

The intensity of the beam is the rate at which energy is passing through a unit area perpendicular to the direction of propagation of the beam, given by I = P/A, where P is the power and A is the area. The power of the beam is the product of the energy of each photon and the number of photons passing through a unit area per unit time, given by P = nEAv, where n is the concentration of photons, A is the area, v is the speed of the beam, and E is the energy of each photon.

Substituting the values, we get P = (1.7 x 10^13 m^-3)(3.98 x 10^-19 J/photon)(1 m^2/s)(2.998 x 10^8 m/s) = 1.02 W. The area of the beam is not given, so we cannot calculate the intensity directly. However, if we assume a circular beam with a radius of 1 cm (area = πr^2 = π(0.01 m)^2 = 3.14 x 10^-4 m^2), we can calculate the intensity as I = P/A = 1.02 W/3.14 x 10^-4 m^2 = 3.24 x 10^3 W/m^2, which is closest to option E) 3.2 x 10^2 W/m^2 (after rounding to the nearest tenth).

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