I need help fast please I don’t understand this and I’ve been struggling for a while. Can I get a brain list please or a tutor to answer this.

The given line is

We need two points to graph a line. Let's find the axis intercepts with x=0 and y=0.

The y-intercept: x=0

The y-intercept is (0,-5).

The x-intercept: y=0

The x-intercept is (-5,0).

Now, we graph these points and draw a straight line.

The Cartesian equation will be;

⇒ x² + y² - 4x - 5y = 0

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The polar equation will be;

⇒ r = 4 sin(θ) + 5 cos(θ)

Now,

Substitute r = √x² + y² , r sin θ = x, r cos θ = y in above equation, we get;

The polar equation will be;

⇒ r = 4 sin(θ) + 5 cos(θ)

⇒ r² = 4 r sin(θ) + 5 r cos(θ)

⇒ x² + y² = 4x + 5y

⇒ x² + y² - 4x - 5y = 0

Thus, The Cartesian equation will be;

⇒ x² + y² - 4x - 5y = 0

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Answer: The percent of change in the perimeter is 100 percent and

the percent of change in the area is 300 percent .

Step-by-step explanation:

Rectangle is the closed shaped polygon with 4 sides. Opposite sides of the rectangle are equal. when the length and the width of the sandbox are doubled the percent of change in the perimeter is 100 percent and the percent of change in the area is 300 percent.

Hey there! :)

2^6 means 2*2*2*2*2*2 = 64

5^2 means 5*5 = 25

64*25=1,600

If it is correct, plss mark Brainliest

Infinity please..

A modified version of the original distribution, the sampling distributive of y(1) has an upper bound equal to the minimum value in the sample and a lower bound of 0.

Let y1,..., yn have an f-distribution and be independently and identically distributed (iid) (y).

Ascertain the y(1) = min I yi sampling distribution. The sampling distribution of y(1) has a lower bound of 0 and an upper bound that is equal to the minimum of the sample yi. It is a truncated distribution of the original distribution f(y).

By integrating the initial distribution f(y) from 0 to the minimum of the sample yi, get the probability of each value of y(1).

A reduced version of the original distribution f(y), with a lower bound of 0 and an upper bound equal to the minimum of the sample yi, is the sampling distribution of y(1). We must integrate the initial distribution f in order to calculate this distribution (y)

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The hydrostatic force on the dam is 2,641,100 N and the line of action is 2.625 m.

The hydrostatic force on the dam and its line of action when the dam is filled to the rim can be calculated by using the given information. The water side of the wall of a 70-m-long dam is a quarter circle with a radius of 7 m.

In order to determine the hydrostatic force on the dam and its line of action when the dam is filled to the rim, we can follow the below steps:

Step 1: Calculate the area of the quarter circle. The area of the quarter circle is given by; A = πr²/4 = (22/7) × 7 × 7 / 4 = 38.5 m²

Step 2: Calculate the depth of water- The depth of the water is equal to the radius of the quarter circle. The depth of water is;d = r = 7 m

Step 3: Calculate the hydrostatic pressure- The hydrostatic pressure can be calculated using the formula; P = ρgdwhere,P = Hydrostatic pressureρ = density of water (1000 kg/m³)g = gravitational acceleration (9.8 m/s²)d = depth of the water (7 m)

On substituting the given values in the above formula, we get;P = 1000 × 9.8 × 7 = 68600 N/m²

Step 4: Calculate the hydrostatic force The hydrostatic force on the dam is given by; F = PA where, A = area of the quarter circle (38.5 m²)P = hydrostatic pressure (68600 N/m²)On substituting the given values in the above formula, we get; F = 68600 × 38.5 = 2641100 N

Step 5: Calculate the line of action of hydrostatic force The line of action of the hydrostatic force is given by; h = 3r/8 = 3 × 7 / 8 = 2.625 m .

Therefore, the hydrostatic force on the dam is 2,641,100 N and the line of action is 2.625 m.

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For the parameterize plane that contains the three points (−4,−1,4), (−6,−8,8), and (50,20,15) the value of r→(s,t) is (-4 + 2s - 25t, -1 + 7s - 82t, 4 - 4s + 87t).

To parameterize the plane that contains the three points (-4, -1, 4), (-6, -8, 8), and (50, 20, 15), we can use the method of finding two vectors in the plane and then taking their cross product. Let's call the parameterized form r→(s,t) = (x(s, t), y(s, t), z(s, t)).

Step 1: Find two vectors in the plane.

Let's consider the vectors formed by the given points:

v1 = (-4, -1, 4) - (-6, -8, 8) = (2, 7, -4)

v2 = (-4, -1, 4) - (50, 20, 15) = (-54, -21, -11)

Step 2: Take the cross product of the two vectors.

n = v1 × v2

Using the cross-product formula, we have:

n = (7 × (-11) - (-4) × (-21), (-4) × (-54) - (2) × (-11), (2) × (-21) - 7 × (-54))

= (-25, -82, 87)

Step 3: Parameterize the plane using the normal vector.

Now, we can use the normal vector (the result from step 2) to parameterize the plane:

r→(s,t) = (-4, -1, 4) + s(2, 7, -4) + t(-25, -82, 87)

Therefore, the parameterized form of the plane that contains the three points is:

r→(s,t) = (-4 + 2s - 25t, -1 + 7s - 82t, 4 - 4s + 87t)

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Answer:

Step-by-step explanation:

let (x,y) be any point on the locus.

Then

\(\sqrt{(x-1)^2+(y-6)^2} =7\\or\\(x-1)^2+(y-6)^2=49\\which ~is~a~circle.\)

The lengths of all the sides of a rectangle are added to determine its perimeter.

The perimeter of a rectangle with dimensions of 7.7 cm in length and 8.1 cm in breadth can be calculated as follows:

Perimeter is equal to 2 * (Length + Width).

If we substitute the values, we get:

Perimeter: (7.7 cm + 8.1 cm) x (2 *).

Radius = 2 * 15.8 cm

Measurement is 31.6 cm.

As a result, the rectangle's perimeter is 31.6 cm.

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The Annual yield is approximately 2.92%.

To determine the cost per share and the annual yield, we need to perform some calculations based on the given information.

a. Cost per share:

The cost per share can be calculated by dividing the total cost (including the commission) by the number of shares.

Total cost = Cost of shares + Commission

Total cost = $3,945.90

Number of shares = 60

Cost per share = Total cost / Number of shares

Cost per share = $3,945.90 / 60

Cost per share ≈ $65.76

Therefore, the cost per share is approximately $65.76.

b. Annual yield:

The annual yield is the dividend per share divided by the cost per share, expressed as a percentage.

Dividend per share = $1.92

Annual yield = (Dividend per share / Cost per share) * 100

Annual yield = ($1.92 / $65.76) * 100

Annual yield ≈ 2.92%

Therefore, the annual yield is approximately 2.92%.

In summary:

a. The cost per share for Comerica Inc. is approximately $65.76.

b. The annual yield for Comerica Inc. is approximately 2.92%.

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Final Answer: \(x = \frac{5y}{3}\), \(y = 15\)

Steps/Reasons/Explanation:

Question: \(\frac{x}{5} = \frac{y}{3}\) and \(\frac{12}{y} = \frac{4}{5}\). What does \(x\) equal and what does \(y\) equal and how?

Solving for \(x\) in the equation \(\frac{x}{5} = \frac{y}{3}\).

Step 1: Multiply both sides by \(5\).

\(x = \frac{y}{3} * 5\)

Step 2: Simplify \(\frac{y}{3} * 5\) to \(\frac{y * 5}{3}\).

\(x = \frac{y * 5}{3}\)

Step 3: Regroup terms.

\(x = \frac{5y}{3}\)

Solving for \(y\) in the equation \(\frac{12}{y} = \frac{4}{5}\).

Step 1: Multiply both sides by \(y\).

\(12 = \frac{4}{5}y\)

Step 2: Simplify \(\frac{4}{5}y\) to \(\frac{4y}{5}\).

\(12 = \frac{4y}{5}\)

Step 3: Multiply both sides by \(5\).

\(12 * 5 = 4y\)

Step 4: Simplify \(12 * 5\) to \(60\).

\(60 = 4y\)

Step 5: Divide both sides by \(4\).

\(\frac{60}{4} = y\)

Step 6: Simplify \(\frac{60}{4}\) to \(15\).

\(15 = y\)

Step 7: Switch sides.

\(y = 15\)

~I hope I helped you :)~

The correct z-limits of integration to find the volume of the region D are given by option C, which is \(\sqrt{(x^{2} + y^{2} )} \leq z \leq \sqrt{25 - x^{2} - y^{2}}\).

To determine the z-limits of integration, we need to consider the bounds of the region D. The region is bounded below by the cone \(z=\sqrt{(x^{2} + y^{2} )}\) and above by the sphere \(x^{2} + y^{2} + z^{2} = 25\).

The lower bound is defined by the cone, which is given by \(z=\sqrt{(x^{2} + y^{2} )}\). This means that the z-coordinate starts at the value  \(\sqrt{(x^{2} + y^{2} )}\) when we integrate over the region.

The upper bound is defined by the sphere, which is given by \(x^{2} + y^{2} + z^{2} = 25\). By rearranging the equation, we have \(z^{2} = 25 - x^{2} - y^{2}\). Taking the square root of both sides, we obtain \(z=\sqrt{25-x^{2} -y^{2} }\). This represents the maximum value of z within the region.

Therefore, the correct z-limits of integration are  \(\sqrt{(x^{2} + y^{2} )} \leq z \leq \sqrt{25 - x^{2} - y^{2}}\), which corresponds to option C. This choice ensures that we consider all z-values within the region D when integrating in the order \(dzdydx\) to find its volume.

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The complete question is:

Let D be the region bounded below by the cone \(z=\sqrt{(x^{2} + y^{2} )}\) and above by the sphere \(x^{2} + y^{2} + z^{2} = 25\). Then the z-limits of integration to find the volume of D, using rectangular coordinates and taking the order of integration as \(dzdydx\) are:

A. \(25 - x^{2} - y^{2} \leq z \leq \sqrt{(x^{2} + y^{2} )}\)

B. \(\sqrt{(x^{2} + y^{2} )} \leq z \leq 25 - x^{2} - y^{2}\)

C. \(\sqrt{(x^{2} + y^{2} )} \leq z \leq \sqrt{25 - x^{2} - y^{2}}\)

D. None of these

Answer:

Hi! The correct answer is (1448/3, 686)

Step-by-step explanation:

~Solve for the first variable in one of the equations, then substitute the result into the other equation~

Answer:

Let the unknown number be x ;

\(2(x) +31\\=2x+31\)

Step-by-step explanation:

Answer:

306

Step-by-step explanation:

Answer:

306

Step-by-step explanation:

-18x-17 is 306 because a negative number times a negative number is always a positive so it would be 18x17 which is 306

4/5x = -1/4

x = -1/4 × 5/4

x = -5/16

x = -0.3125

_____

RainbowSalt2222 ☔

The set of all diagonal n × n matrices is a subspace of Mnn3.

Given, we need to use the Subspace Test to determine which of the sets are subspaces of Mnn3 and the sets are: The set of all diagonal n × n matrices.

The set of all n x n matrices A such that det(A) = 0.The set of all n x n matrices A such that tr(A) = 0.The set of all symmetric n x n matrices.

Subspace Test: A nonempty subset H of a vector space V is a subspace of V if for every u and v in H and every scalar c, the vector cu + v is in H.

The set of all diagonal n × n matrices.Here, we have to prove that the set of all diagonal matrices is a subspace of Mnn3.

Let A and B be two diagonal matrices. Then, A + B is also a diagonal matrix. Since the diagonal elements of A + B are equal to the sums of the corresponding diagonal elements of A and B. So, the set of all diagonal matrices is closed under addition. Let A be a diagonal matrix and c be a scalar.

Then, cA is also a diagonal matrix. Since the diagonal elements of cA are equal to the product of c and corresponding diagonal elements of A. So, the set of all diagonal matrices is closed under scalar multiplication.

Therefore, the set of all diagonal matrices is a subspace of Mnn3. Hence, the main answer is: a. The set of all diagonal n × n matrices is a subspace of Mnn3.

We have used the subspace test to prove that the set of all diagonal n × n matrices is a subspace of Mnn3. The subspace test is used to verify whether a given subset of a vector space is a subspace or not.

We have proved that the set of all diagonal matrices is closed under addition and scalar multiplication.

The diagonal elements of A + B are equal to the sums of the corresponding diagonal elements of A and B. And the diagonal elements of cA are equal to the product of c and corresponding diagonal elements of A.

Therefore, the set of all diagonal matrices satisfies all the three properties required for a subset to be a subspace.

Hence, the set of all diagonal n × n matrices is a subspace of Mnn3.

In conclusion, we can say that the set of all diagonal n × n matrices is a subspace of Mnn3 as it satisfies the subspace test.

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Answer:

3

Step-by-step explanation:

g(x) = f(x) + k, is true for all values of x.

At x = 0, f(x) = 2

At x = 0, g(x) = 5

Therefore, at x = 0

=> g(x) = f(x) + k

=> 5 = 2 + k

=> 3 = k

Since, the given relation is true for all real values of x, k is independent of x. Thus k = 3, for every value of x

Answer:

x=45

Step-by-step explanation:

(2x+10) + 30 + 50 = 180

2x+10+30+50 = 180

2x+90=180

2x=90

x-45

Answer:

Step-by-step explanation:

You could tell because triangles like this always have a right angle (which is a 90° angle)

If there is a bisector in the middle of the triangle that is perpendicular to the base, then it will be a right angle

Answer:

17.5

Step-by-step explanation:

Answer:

17.5 is your answer

Step-by-step explanation:

140/8

17.5

Hope this helps?

Answer:

a.) 12 + x = < -8

b.) x + -8 > 12

c.) -8 - x < 12

Answer:

B. 50 degrees

Step-by-step explanation:

I am not 100% sure and if this is a right triangle, then it's measure is 90 degrees. So, 140 degrees minus 90 degrees would total, 50 degrees.

Answer:

B: 50 degrees

Step-by-step explanation:

You first find the other angles of the triangle. One is 90 degrees at the corner. The other would be 40 because the outside angle is 140 and that is 40 away from 80. Add 40 and 90 together to get 130 degrees. Subtract that from 180 and that is 50 degrees :)

Hope this helps!

Answer:

I getting the probability of the adult female that will rent the action movies in DVDs in by dividing the possible probability outcome which is 10% of all adults by the total number of possible outcome. So all of the population of the female is 51% and the ones who rent is only 10%. the probability is 19%

The solution is, 0.20 is the probability that the person rents action-movie DVDs, given that the person is female.

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

given that,

Data:

A: the adult is a male, P(A) = 0.49

B: the adult rent action-movie DVDs

C: the adult is a female,  P(C) = 1 - P(A) = 1 - 0.49 = 0.51  

24% of the adults are male and rent action-movie DVDs, then P(A ∩ B) = 0.24

10% of the adults are female and rent action-movie DVDs, then P(C ∩ B) = 0.10

The conditional probability of B (the adult rents action-movie DVDs) given C (the adult is female) is computed as follows:

P(B|C) = P(C ∩ B)/P(C)

          = 0.1/0.51

          = 0.2

Hence, The solution is, 0.20 is the probability that the person rents action-movie DVDs, given that the person is female.

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Answer:

3

Step-by-step explanation:

if you dilate a triangle and it gets bigger the answer is a whole number if it gets smaller it is a fraction

-3 X 3 =-9

3 X 3 =9

0 X 3 =0

dilated by 3

According to the Empirical Rule, approximately 68% of the data in a normal distribution will fall within ±1 standard deviation of the mean.

The correct option is (b)

The empirical rule states that the proportion of values within 1,2, and 3 standard deviations of the mean are approximately 68%, 95%, and 99.7% approximately. It implies majority of the values in a normal distribution lies within 1 standard deviations of the mean.

The Empirical Rule states that for a normal distribution:

About 68% of the data will fall within 1 standard deviation of the mean

About 95% of the data will fall within 2 standard deviations of the mean

About 99.7% of the data will fall within 3 standard deviations of the mean

Therefore, option (b) 68 is the correct answer.

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Let

We know

\(\boxed{\sf n(A\cup B)=n(A)+n(B)-n(A\cap B)}\)

\(\\ \sf\longmapsto n(A\cap B)=n(A)+n(B)-n(A\cup B)\)

\(\\ \sf\longmapsto n(A\cap B)=60+65-100\)

\(\\ \sf\longmapsto n(A\cap B)=125-100\)

\(\\ \sf\longmapsto n(A\cap B)=25\)

In the afternoon, Winston traveled a distance of 159 kilometers.

A mathematical number known as distance measures "how much ground an object has traveled" while moving. Distance is defined as the product of speed and time.

On Monday, Winston covered a distance of 248 miles. In the morning, he covered 70 fewer miles than in the afternoon.

Let "x" be the number of miles Winston drove in the afternoon.

In the morning, Winston drove x - 70 miles.

In total, Winston drove 248 miles on Monday.

So, x + (x - 70) = 248

2x - 70 = 248

2x = 318

x = 318/2

Apply the division operation, and we get

x = 159

Thus, Winston drove 159 miles in the afternoon.

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