Fill in the sentence below with the description that most specifically applies to the quadrilateral below.

Answer:

1.143

0.6691

Step-by-step explanation:

8/7=1.143

cos48=0.6691306=0.6691

The given linear programming problem min 1x + 1y s.t. 5x + 3y < 30, 3x + 4y > 36, y < 7 , x , y > 0 exhibits infeasibility.

When constraints are inconsistent and  it is not possible to satisfy all the given constraints simultaneously then  a feasible solution is not possible for the linear programming problem.

Hence the solution of such a linear programming problem is said to be infeasible.

An infeasible solution violates at least one of the constraints of the given linear programming problem.

Here, the second constraint, that is 33x + 44y > 36 violates the linear programming problem. Therefore, the given linear programming problem exhibits   infeasibility (or, infeasible solution).

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Answer:

ok

Step-by-step explanation:

You took the picture and then wrote a sentence

Answer: 50

Step-by-step explanation:

Use pythagorean

c²=a²+b²   c is the hypotenuse which is across from the right angle or the longest side

x²=14²+48²

x²=2500

x=√2500

x=50

Explanation:

[tex]33ft^2[/tex] is the area of a 2D figure.

[tex]33ft^3[/tex] is the volume of a 3D object.

ft^2 = area

ft^3 = volume

Answer:

bro c. is the corrent ans of this que

There are seven elements in the set S, which represents the total number of distinct numbers we can form using one or more of the digits.

To find out how many distinct numbers we can form using these digits, we need to consider all possible combinations of digits. We can use one, two, or all three digits to form a number.

If we use only one digit, we can form three distinct numbers: 2, 3, and 5.

If we use two digits, we can form three distinct two-digit numbers: 23, 25, and 35. We cannot form the number 32 because we do not have the digit 2 available twice.

If we use all three digits, we can form only one three-digit number: 235.

Therefore, in total, we can form 7 distinct numbers using one or more of the digits 2, 3, and 5.

Mathematically, we can represent the solution as follows:

Let S be the set of all distinct numbers we can form using one or more of the digits 2, 3, and 5.

Then, S = {2, 3, 5, 23, 25, 35, 235} = 7

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Wow, I just happen to be learning this right now although...

The question provided is incomplete and unclear. It mentions a parabola with a focus at (-3,2) and directrix y = -3, and a point on the parabola at (a,5), and asks for the distance between the point and the focus. However, it does not specify what is the equation of the parabola or provide enough information to solve the problem.

CB² + AC² = AB (BD + AD) ---------> segment addition postulate

BD + AD = AB -----------> substitution

CB² + AC² = AB(AB) ----------->  Factor

CB² + AC² = AB² ----------->  multiply

The statement that matches the steps of the proof is determined as follows;

The given options are;

The first proof and its correct statement is determined as;

CB² + AC² = AB (BD + AD) ---------> segment addition postulate

The second proof and its correct statement is determined as;

BD + AD = AB -----------> substitution

The third proof and its correct statement is determined as;

CB² + AC² = AB(AB) ----------->  Factor

The fourth proof and its correct statement is determined as;

CB² + AC² = AB² ----------->  multiply

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Answer:

Step-by-step explanation:

Coupon gives $3 off
$25 - $3 = $22
After first coupon, the pizza price will be $22

10% dicscount
90% of 25 = 22.5
22.50 - 3 = 19.50
After first coupon and discount, the pizza price will be $19.50

Answer:

The line of reflection is the x-axis.

The amount of paint needed to paint a soup can =  438.03 cm²

The correct answer is an option (D)

We know that the formula for the surface area of the cylinder is :

A = 2πrh + 2πr²

Here, the diameter of the can is 9 sm

So, the radius of the can would be,

⇒ r = d/2

⇒ r = 9/2

⇒ r = 4.5 cm

And the height of the can is h = 11 cm

Since the can is cylindrical, we use above formula of surface area of the cylinder to find the amount of paint needed.

Using above formula,

⇒ A = 2πrh + 2πr²

⇒ A = (2 × π × 4.5 × 11) + (2 × π × (4.5)²)

⇒ A = 311.02 + 127.01

⇒ A = 438.03 cm²

This is the required amount of paint needed to paint a soup can.

Therefore, the correct answer is an option (D)

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Critical value of t for testing the significance of each of the independent variable's coefficients will have 90 degree of freedom.

We are given the following parameters or data or information

"A regression analysis involved 8 independent variables", " 99 observations. "

Number of observations = 99

Number of independent variables = 8

In regression, the critical value t for testing the significance of variable's coefficients has the number of degrees of freedom formula which is (number of observations) - (number of independent variables + 1).

To determine the critical value of t for testing the significance of each of the independent variable's coefficient.

Hence, the formula below will used in Calculating or in the determination of the degree of freedom;

Degree of freedom = (number of observations) - (number of independent variables + 1).

Thus, slotting bin the values into the formula above, we have;

The degree of freedom = 99 - (8 +1) = 90.

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Answer:

63

Step-by-step explanation:

(63/9) x (7 + 2)

= (63/9) x 9

= (63 x 9/9)

= 63 x 1

= 63

The part of exponent, x, will have the value 7/4 according to the expression of exponent.

As we see the base on both sides is same, concerning this we can equate the exponents for equal values on Left Hand Side and Right Hand Side of the equation.

5x + 9 = 9x + 2

Rearranging the equation for like terms on each side

9x - 5x = 9 - 2

Subtracting the values in each side of the equation to find the value of x

4x = 7

Rearrange the formula

x = 7/4

Hence, the value of x will be 7/4.

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Don's null hypothesis is that there is no statistically significant difference between the mean debt of students who attended private college and the mean debt of students who attended public colleges, represented as H₀: μ₁ - μ₂ = 0

The null hypothesis (H0) is a statement of "no difference" or "no effect" and is typically represented as "there is no statistically significant difference between the mean debt of students who attended private college and the mean debt of students who attended public colleges." Therefore, in this case, Don's null hypothesis can be stated as

H₀: μ₁ - μ₂ = 0

where μ₁ represents the population mean debt for students who attended private college, and μ₂ represents the population mean debt for students who attended public colleges.

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[tex]x^{2}[/tex] + 2x - 80 = 0 will be the equation that could be used to solve for the square's original side length, x.

Let's assume that the original side length of the square is x feet.

According to the problem, one dimension of the rectangle (let's call it length) is x + 4 feet, and the other dimension (let's call it width) is x - 2 feet. The area of the rectangle is given as 72 square feet.

We can write an equation to represent this information as:

(x + 4)(x - 2) = 72

Simplifying the left side of the equation, we get:

[tex]x^{2}[/tex] + 2x - 8 = 72

Bringing all the terms to one side of the equation, we get:

[tex]x^{2}[/tex] + 2x - 80 = 0

This is a quadratic equation that we can solve using the quadratic formula:

x = (-2 ± [tex]\sqrt{2^{2}-4(1)(-80)}[/tex] ) / 2(1)

x = (-2 ± [tex]\sqrt{324}[/tex]) / 2

x = (-2 ± 18) / 2

The two possible values of x are:

x = 8 or x = -10

Since the side length of a square cannot be negative, we can disregard the solution x = -10. Therefore, the original side length of the square was x = 8 feet.

Answer: (x + 4)(x - 2) = 72 or [tex]x^{2}[/tex] + 2x - 80 = 0, with a solution of x = 8 feet.

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a) The probability that Dwight signs 6 new clients in a randomly selected week is approximately 0.1047

b) The probability that Dwight signs at least 3 new clients in a randomly selected week is approximately 0.7227.

Let X be the number of new clients that Dwight signs in a randomly selected week. Since X follows a Poisson distribution with an average rate of 3.7 new clients per week, we can write:

P(X = x) = [tex](e^{-\lambda} \times \lambda ^x)[/tex] / x!, x = 0, 1, 2, ...

where λ is the average rate and e is the mathematical constant e ≈ 2.71828.

a) Probability that Dwight signs 6 new clients:

To calculate this probability, we need to substitute x = 6 and λ = 3.7 into the above formula:

P(X = 6) = ([tex]e^{-3.7}[/tex] x 3.7⁶) / 6! ≈ 0.1047

b) Probability that Dwight signs at least 3 new clients:

To calculate this probability, we need to sum the probabilities of signing 3, 4, 5, 6, and so on, new clients. Since the Poisson distribution is a discrete probability distribution, we can use the cumulative distribution function (CDF) to compute this probability:

P(X ≥ 3) = 1 - P(X < 3) = 1 - P(X = 0) - P(X = 1) - P(X = 2)

Substituting λ = 3.7 into the Poisson probability formula, we get:

P(X = 0) = [tex]e^{-3.7}[/tex] x 3.7⁰ / 0! ≈ 0.0240

P(X = 1) = [tex]e^{-3.7}[/tex] x 3.7¹ / 1! ≈ 0.0890

P(X = 2) = [tex]e^{-3.7}[/tex] x 3.7² / 2! ≈ 0.1643

Therefore,

P(X ≥ 3) = 1 - 0.0240 - 0.0890 - 0.1643 ≈ 0.7227

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The polynomial equation for the area A of the space between the two concentric circles is [tex]A = 20π(r - 5)[/tex].

To find the equation for the area between two concentric circles, we need to subtract the area of the smaller circle from the area of the larger circle. Let the radius of the outside circle be r and the radius of the inside circle be r-10. Then, the area A between the two circles is given by:

[tex]A = πr^2 - π(r-10)^2[/tex]

Expanding and simplifying, we get:

[tex]A = πr^2 - π(r^2 - 20r + 100)[/tex]

[tex]A = πr^2 - πr^2 + 20πr - 100π[/tex]

[tex]A = 20πr - 100π[/tex]

[tex]A = 20π(r - 5)[/tex]

The National Park Service may want to change the layout of Lincoln Circle to accommodate increased traffic flow or to improve pedestrian safety. The new design with two concentric circles can help to organize traffic better by separating different types of vehicles or controlling speeds. It may also provide additional space for parking or public events. The impact of any changes on the surrounding community and environment, as well as the cost and feasibility of implementation. Proper planning and consultation with stakeholders can help to ensure that the new design meets the needs of all parties involved.

The complete question is: TRAFFIC PLANNING The Lincoln Memorial in Washington, D.C., is surrounded by a circular drive called Lincoln Circle. Suppose the National Park Service wants to change the layout of Lincoln Circle so that there are two concentric circular roads. Write a polynomial equation for the area A of the space between the roads if the radius of the inside road is 10 meters less than the radius of the outside road.

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The dimensions of the rectangle are L = 7 cm and W = 8 cm.

The perimeter of a two-dimensional shape is the space surrounding its outer edge. It is the sum of the lengths of the shape's sides.

The perimeter of a rectangle, for instance, is equal to the total length of its four sides. The circumference of a circle, also known as the perimeter, is the distance around the circle's edge.

Let's assume that the length and width of the rectangular piece of metal are L and W, respectively. Then we know that:

The area of the rectangle is 56 cm², so we have:

L x W = 56 (Equation 1)

The perimeter of the rectangle is 30 cm, so we have:

2L + 2W = 30 (Equation 2)

We can solve this system of equations by using substitution or elimination. Here, we'll use substitution:

From Equation 2, we can isolate one of the variables. For example, we can isolate L:

2L + 2W = 30

2L = 30 - 2W

L = 15 - W (Equation 3)

Now we can substitute this expression for L into Equation 1:

L x  W = 56

(15 - W) * W = 56

Expanding this equation, we get:

15W - W² = 56

Rearranging terms:

W² - 15W + 56 = 0

We can factor this quadratic equation as:

(W - 7)(W - 8) = 0

This gives us two solutions for W: W = 7 or W = 8. We can check each solution to see which one is valid.

If W = 7, then from Equation 3, we have:

L = 15 - W = 15 - 7 = 8

So the dimensions of the rectangle are L = 8 cm and W = 7 cm.

If W = 8, then from Equation 3, we have:

L = 15 - W = 15 - 8 = 7

So the dimensions of the rectangle are L = 7 cm and W = 8 cm.

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Answer:

Step-by-step explanation:

[tex]\6.a_{n}=a_{1}+(n-1)d\\a_{1}=-\frac{1}{2} \\\\d=a_{2}-a_{1}\\d=\frac{1}{2} -(-\frac{1}{2} )\\d=\frac{1}{2} +\frac{1}{2} =\frac{1+1}{2} =\frac{2}{2} =1\\a_{n}=-\frac{1}{2} +(n-1)(1)\\a_{n}=-\frac{1}{2} +n-1\\a_{n}=\frac{-1-2}{2} +n\\a_{n}=n-\frac{3}{2}[/tex]

solve other questions  after finding d

Answer:

x° = 50°

y° = 70°

z°  = 60°

p° = 50°

(p + 10)° = 60°

(p + 20)° =70°

Step-by-step explanation:

Angles with measurements (p + 20), p and (p + 10) degrees are all on the same line. Therefore these three angles are supplementary angles. In other words the sum of these angles = 180°

Plugging in the expressions for these angles we get

(p + 20 ) + p + (p + 10) = 180°

3p + 30 = 180

Subtracting 150 from both sides,
3p = 180 - 30  = 150

p = 150/3 = 50

x is a vertically opposite angle to p.

Therefor x = p = 50°

y is vertically opposite and equal to p + 20
y = p + 20 = 50 + 20 = 70°

z is vertically opposite and equal to p + 10
z = p + 10 = 50 + 10 = 60°

Using Pythagorean theorem and similar triangle theorem, the length of x is 1.123 units

Similar triangles are the triangles that have corresponding sides in proportion to each other and corresponding angles equal to each other. Similar triangles look the same but the sizes can be different. In general, similar triangles are different from congruent triangles.

According to the SSS similarity theorem, two triangles will the similar to each other if the corresponding ratio of all the sides of the two triangles are equal. This criterion is commonly used when we only have the measure of the sides of the triangle and have less information about the angles of the triangle.

In this problem, we can use SAS or SSS theorem, however, we can decide to use the angle to find the length of the side;

Using SOHCAHTOA

we have hypothenuse and angle and we need to find the opposite side;

sin √8 = a / 4

a = 4sin√8

Let's find the hypothenuse side of the smaller triangle

using similarity theorem;

6√2 / 4 = b / 1

b = 6√2 / 4

But knowing that the ratio of the bigger triangle is 4 to 1 to the smaller triangle, we can easily find x

cos √8 = y / 4

y = 4cos√8

The length of the opposite side to the other triangle will be

6√2 - 4cos√8 = 4.49

Using this value, we can find the hypothenuse with Pythagorean theorem

c² = 4.49² + (4sin√8)²

c = 4.49

x = 4.49 / 4

x = 1.123

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The value p = 1/2 + √(3)/2 does give us exactly one point with a gradient of zero.

A quadratic equation, or sometimes just quadratics, is a polynomial equation with a maximum degree of two. It takes the following form:

ax² + bx + c = 0

To find the value of p for which the graph of f has exactly one point with a gradient of zero, we need to find the derivative of f(x) and set it equal to zero.

First, we can simplify f(x) by factoring out 4x:

f(x) = 4x(x + p/(4x+4))

Now, we can find the derivative of f(x):

f'(x) = 4(x + p/(4x+4)) + 4x(1 - p/(4x+4)²)

To find the point(s) where f'(x) = 0, we set it equal to zero and solve for x:

4(x + p/(4x+4)) + 4x(1 - p/(4x+4)²) = 0

Simplifying and multiplying through by (4x+4)²:

16x³ + 32px² + 16px - 16p = 0

Dividing through by 16x:

x² + 2px + p - 1 = 0

Now, we can use the discriminant of this quadratic equation to determine the value of p that gives exactly one point with a gradient of zero. The discriminant is:

b² - 4ac = (2p)² - 4(1)(p-1) = 4p² - 4p + 4 = 4(p² - p + 1)

For the graph of f to have exactly one point with a gradient of zero, the discriminant must be equal to zero, because that means there is only one value of x that satisfies f'(x) = 0. So, we set the discriminant equal to zero and solve for p:

4(p² - p + 1) = 0

p² - p + 1 = 0

Using the quadratic formula:

p = (1 ± √(1 - 4))/2 = 1/2 ± √(3)/2

So, the two possible values of p for which the graph of f has exactly one point with a gradient of zero are:

p = 1/2 + √3)/2

p = 1/2 - √(3)/2

Note that we should check that these values of p actually give us a point with a gradient of zero. If we substitute each value of p back into the derivative f'(x), we get:

When p = 1/2 + √(3)/2:

f'(x) = 4(x + (1/2 + √(3)/2)/(4x+4)) + 4x(1 - (1/2 + √(3)/2)/(4x+4)²)

Simplifying, we get:

f'(x) = (16x³ - 8x² + (4√(3) - 4)x + 4√(3) - 4)/(4(x+1)²(x+1+√(3)))

We can see that the denominator is always positive, so the gradient of f can only be zero when the numerator is zero. To find the value of x that satisfies this, we need to solve the cubic equation:

16x³ - 8x² + (4√(3) - 4)x + 4√(3) - 4 = 0

Using numerical methods, we find that there is only one real root, which is approximately x = 0.265. Therefore, the value p = 1/2 + √(3)/2 does give us exactly one point with a gradient of zero.

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The American Housing Survey is conducted annually by the Bureau of the Census to gather data on the distribution of occupied housing units in the United States.

Using data from the 2003 survey, the distribution of occupied housing units by the number of rooms can be found. To visualize this data, histograms can be drawn separately for owner-occupied and renter-occupied units.

It is important to note that "10 or more" mean 10 or 11, as very few units have more than 11 rooms.

(a) The This could be due to rounding errors or differences in sample sizes between the two groups.

(b) The percentage of one-room units is much smaller for owner-occupied housing. This is not necessarily because there are more owner-occupied units in total, but could be due to differences in the length preferences and financial means of renters versus owners.

(c) It is unclear which group, on the whole, has larger units without additional information about the distribution of rooms.

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Answer: 625

Step-by-step explanation:

I'm not sure what you mean by the result of y, however...

5^4 = 625

I'm not sure if this is helpful, sorry

Answer: B

Step-by-step explanation:

For matrix addition to happen,

1) the 'number of rows' of all matricies have to be same.

2) the 'number of columns' of all matricies have to be same.

So the answer should be <B>.

tan(35) = 0.70020753821 = Perpendicular(BC)/Base(AB)

0.70020753821 = BC/15000

BC = 10503 ft.

AC² = AB² + BC²

AC = √15000² + 10503²

AC = √225000000 + 110313009

AC = √335313009

AC = 18311.5 ft

10503 ft is the height of the jet after traveling due east 15,000ft from the point of liftoff and  18311.5 ft is the distance the jet has traveled.

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

Given that a jet took off from a runway and flew a constant 35° upward

We have to find the height of the jet after traveling due east 15,000ft from the point of liftoff

We know that tan is the ratio of opposite side and adjacent side

tan(35) = BC/15000

0.70020753821 = BC/15000

BC = 10503 ft.

B) By pythagoras theorem we find the distance the jet has traveled.

AC² = AB² + BC²

AC = √15000² + 10503²

AC = √225000000 + 110313009

AC = √335313009

AC = 18311.5 ft

Hence, 10503 ft is the height of the jet after traveling due east 15,000ft from the point of liftoff and  18311.5 ft is the distance the jet has traveled.

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Answer:

18/100

Step-by-step explanation:

she has rolled the number 1 eighteen times out of the 100 tries

The null hypothesis for testing the effectiveness of a pest control method in allowing strawberry blooms to yield marketable strawberries is that the proportion of all blooms grown (i.e., 0.67).

The null hypothesis is a statistical hypothesis that assumes there is no significant difference or relationship between two or more variables or populations being studied.

The null hypothesis is a statement of no effect or no difference. In this case, the null hypothesis is that the proportion of all blooms grown with the pest control method that yield marketable strawberries is equal to or less than two-thirds (i.e., 0.67).

Therefore, the null hypothesis can be stated as follows:

H0: p ≤ 0.67

Where p represents the population proportion of blooms that yield marketable strawberries.

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