In congress, each of the 50 states is represented by 2 senators. If you choose a senator randomly, what is the probability that you will choose a senator that represents Georgia, South Carolina, and Florida?

Answer:

  (x -6)² +(y +2)² = 128

Step-by-step explanation:

You want the equation of the circle centered at (6, -2) through point (14, 6).

The equation of a circle with center (h, k) and radius r is ...

  (x -h)² +(y -k)² = r²

For center (h, k) = (6, -2), we can find the value of r² knowing that it will be the value that lets the point (14, 6) satisfy the equation.

  (14 -6)² +(6 -(-2))² = r² = 8² +8² = 128

The circle equation is ...

  (x -6)² +(y +2)² = 128

It is to be noted that the volume of all the wooden figures will come to.

Each wooden figure as shown in the image is

L = 4ft

W = 4ft
H = 10ft

Where L = Length, w= Width and H = height.

The volume of a cuboid is  L x W x H

So we have

4 x 4 x 10

Since there are six of the figures, we restate the expression as:

6 x 4 x 4 x 10

= 960 Ft³

Thus, volume of all of the parts is 960 Ft³

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Full Question:

Although part of your question is missing, you might be referring to this full question:

See attached image.

Answer:

yes

Step-by-step explanation:

the factor theorem says if (x + a) is a factor of a polynomial f(x) then f(- a) = 0

given (x+ 5) then if f(- 5) = 0 , (x + 5) is a factor

4[tex](-5)^{4}[/tex] + 16(- 5)³ - 6(- 5)² + 73(- 5) + 15

= 4(625)+ 16(- 125) - 6(25) - 365 + 15

= 2500 - 2000  - 150 - 350

= 500 - 500

= 0

then (x + 5) is a factor of the given polynomial

Answer: 6/1

Step-by-step explanation: 2/1 x 3/1 = 6/1

5. The answer is option D (12.53, 61.39°)

6. Option D. ((7√2)/2, (-7√2)/2)

7. Option C. (104.40, -16.70°)

Question 5:

Apply the Pythagorean theorem to find the distance r from the fire station to the destination:

r = √(62 + 11²) = 12.53 (rounded to the nearest hundredth)

The angle θ between the positive x-axis and the line connecting the fire station to the destination is found using tangent:

tan(θ) = ¹¹/₆

θ = arctan(¹¹/₆) = 61.39° (rounded to the nearest hundredth)

Therefore, the answer is (12.53, 61.39°), which is option D.

Answer: D. (12.53, 61.39°)

Question 6:

Convert from polar coordinates to rectangular coordinates using the following formulas:

x = r cos(θ)

y = r sin(θ)

Plugging in the values, we get:

x = -7 cos(3π/4) = -7√(2)/2) = 3.5√(2)

y = -7 sin(3π/4) = -7√(2)/2) = -3.5√(2)

Therefore, the rectangular coordinates of the point are (3.5sqrt(2), -3.5sqrt(2)), which can also be written as (-4.95, -4.95) (rounded to the nearest hundredth).

Answer: (7√(2)/2), -7√(2)/2))

Question 7:

Use the Pythagorean theorem to find the distance r from the starting point to the current position:

r = √(100² + 30²) = 104.40 (rounded to the nearest hundredth)

The angle θ between the positive x-axis and the line connecting the starting point to the current position can be found using tangent:

tan(θ) = 30/100

θ = arctan(30/100) = 16.70° (rounded to the nearest hundredth)

However, since the woman is south of the starting point, the angle should be in the negative direction, so we have:

θ = -16.70°

Therefore, the answer is (104.40, -16.70°), which is option C.

Answer: C. (104.40, -16.70°)

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If Allison jogs at the same rate for 1 and a half hours, the number of miles that she would jog is 6.75 miles.

In Mathematics and Science, speed is the distance covered by a physical object per unit of time.

In Mathematics and Science, the speed of any a physical object can be calculated by using this formula;

Speed = distance/time

Speed = 4.5/1

Speed = 4.5 miles per hour.

Making distance the subject of formula, we have:

Distance, d(t) = speed × time

Distance, d(t) = 4.5 × 1.5

Distance, d(t) = 6.75 miles.

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Answer: your answer would be A.

Answer:

First problem: x = 5.7√2 = (57√2)/10

Second problem: x = 10√3

Answer:

it is a zero dimensional point

Step-by-step explanation:

points are an exact location represented by a dot.

points do not have dimension (length, width, or height)

The equation of the circle is x² + y² - 2x - 10y + 22 = 0

Any locations on a plane that are a certain distance from a fixed point (referred to as the radius) are considered to be parts of a circle, which is a two-dimensional geometric shape (is called the center). Each point on the circle may be found at the same distance from the circle's centre.

The following is the equation for a circle with centre (h,k) and radius r:

r²=(x - h)² + (y - k)²

In this case, the center of the circle is (1,5) and the radius is 2. So, we may change these values in the equation:

(x - 1)² + (y - 5)² = 2²

Simplifying and expanding the equation, we get:

(x - 1)×(x - 1) + (y - 5)(y - 5) = 4

x² - 2x + 1 + y² - 10y + 25 = 4

x² + y² - 2x - 10y + 22 = 0

Therefore, the equation of the circle is:

x² + y² - 2x - 10y + 22 = 0

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Answer:

I'm sorry, but there is no feature for this in this game.  But, there is a grid and a sizing tool.  You'll just have to make an educated guess based on the size of your character and your character's stage of life (baby, toddler, kid, teen, adult).  Hope I helped!  I once had the same question, but just did this.  I think each big grid square maybe is 3-5 ft?

Answer:

shape

Step-by-step explanation:

The result of the row 1 multiplication by 1/4 is determined as  [¹/₂  0 ].

The resultant of the row multiplication in the Matrice is calculated by applying the following method;

row 1 in the given matrices = [2 0]

To multiply row by 1/4, we will multiply each entity by 1/4 as shown below;

[2 0] x 1/4 = 1/4(2 0)

= [¹/₂  0 ]

Thus, the result of the row multiplication is determined by multiplying each entry in row 1, that is 2, and 0 by 1/4.

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Answer:

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

[tex] {a}^{2} = {c}^{2} - {b}^{2} [/tex]

[tex]a = \sqrt{ {c}^{2} - {b}^{2} } [/tex]

The correct answer is D.

Using a normal distribution calculator and entering the mean as 300, the standard deviation as 30 and the range (300 to 390), the probability that a given tree has between 300 and 390 apples is 0.4987 or 49.87%.

Probability refers to the chance or likelihood that an expected event occurs out of many possible events.

Probability lies between 0 and 1, depending on the degree of certainty.

Mean = 300

Standard deviation = 30

Range = 300 to 390

Thus, the probability that a given tree has between 300 and 390 apples is 0.4987 or 49.87%.

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The equation of a parabola with a vertical axis and vertex (h, k) is given by:

(x - h)² = 4p(y - k)

In the equation, where p is the distance from the vertex to the focus (and also the distance from the vertex to the directrix).

If the vertex is at the origin (h=0, k=0), then the equation simplifies to:

x² = 4py

where p is still the distance from the vertex to the focus (and also the distance from the vertex to the directrix).

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Answer:

Step-by-step explanation:

(a)  Given:   r=4  h=3

Formula for cylinder:  V=Bh = [tex]\pi r^{2} h[/tex]  

Solution:

V= [tex]\pi r^{2} h[/tex]

V= [tex]\pi[/tex]4²(3)            >square

V= [tex]\pi[/tex] (16)(3)         >multiply numbers

V=48[tex]\pi[/tex]                >leave as pi

(b)  Given: 4  h=6

This volume will be greater because you are multiplying by 6 instead of 4

V=96[tex]\pi[/tex]

The incorrect statement is

In mathematics, dilation can be defined as a transformation which alters the size of an object, though its shape remains unchanged. It is described as a specific similarity transformation where all dimensions associated with the given object (i.e. height, width and length) are increased or decreased uniformly by a particular scale factor.

A dilation thus produces an alteration in size, with the figure being either magnified or diminished while keeping its unique shape intact.

The scale factor used in the dilation is 9/7 instead of 7/3.

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Open and clear communication is crucial when discussing estate planning and wills with family members to prevent misunderstandings and hurt feelings.

1. It is understandable that Brennan and Maureen feel shocked and disappointed with the reduced inheritance.

While it is not required for parents to disclose every detail of their estate planning to their children, it would have been helpful if they had discussed the impact of the gifts on their estate and their final inheritance.

Clear communication can prevent misunderstandings and hurt feelings in the future.

2. Brennan and Maureen have a responsibility to discuss the will with their parents. It is essential to have an open and honest conversation about their parents' wishes and intentions to avoid any confusion or disputes in the future.

While it can be uncomfortable to talk about death and inheritance, it is a crucial conversation to have.

3. It can be a difficult and emotional topic to discuss, but it is important to have open communication to ensure that everyone's wishes are respected and honored. It may be helpful to consult with a lawyer or financial advisor to ensure that the will is properly drafted and that everyone's needs are addressed.

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The value of the container's contents is approximately $983.25

To find value of the contents, we must calculate its volume first.

Volume = length x width x height

Volume = 4.5 ft x 11.5 ft x 10.5 ft

Volume = 534.375 cubic feet

The container is full and its contents have a volume of 534.375 cubic feet. If its contents weigh 0.4 pounds per cubic, then, total weight of the contents is:

= Volume x Weight per cubic foot

= 534.375 cubic feet x 0.4 pounds per cubic foot

= 213.75 pounds

If the contents are worth $4.60 per pound on average, then the total value of the contents is:

= Weight x Value per pound

= 213.75 pounds x $4.60 per pound

= $983.25.

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The dimensions that minimizes the perimeter are undefined and DNE

From the question, we have the following parameters that can be used in our computation:

Base = w

Heights = h and T

Where

T = 1.6w

The area of the window is calculated as

A = 1/2Tw + hw

So, we have

A = 1/2 * 1.6w * w + hw

A = 0.8w² + hw

Differentiate with respect to w

A' = 1.6w + h

Set to 0

1.6w + h = 0

Solve for h

h = -1.6w

The above means that the perimeter cannot be minimized

This is because h and w cannot be negative

Hence, h = undefined and w = undefined

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Answer:A=OE+L

Step-by-step explanation:

880000=51000+L

Liabilities=370000

680000=2x

The amount of its equity of 340000 for the second problem

Answer:3,000

Step-by-step explanation:

Answer:

y= 50x + 150

Step-by-step explanation:

Answer:

Here’s a piecewise function that represents the total cost C (in dollars) for a photoshoot that lasts h hours:

                     150            for 0<h≤1

C(h)= {150 +100⌈2(h−1) ⌉ for 1<h≤3​

Step-by-step explanation:

The first part of the function represents the cost for a photoshoot that lasts up to 1 hour. The second part represents the cost for a photoshoot that lasts more than 1 hour but no more than 3 hours. The ceil function rounds up to the nearest integer.

I hope this helps you! Have a nice day. (゜▽゜)つ Bye -

The inequality to represent the situation is 11x + 18 ≤  40.

The rental car company charges $22 per day to rent a car at 0.08 for every mile driven. Samuel wants to rent a car knowing that he plans to drive 450 miles he has at most to spend $80.

Therefore, the inequality to represent the situation of Samuel when x is the number of days can be represented as follows:

Hence,

22x + 0.08 × 450 ≤ 80

22x + 36 ≤  80

Divided both sides of the inequality by 2

11x + 18 ≤  40

Hence, the required inequality expression is 11x + 18 ≤  40

where

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The equation that represent the number of bracelets b and the number of rings r is 6b + 8r > 600 and 2b + 4r < 275, hence, option A is correct.

Let b represent the number of bracelets and r represent the number of rings that Marisol makes. Marisol plans to sell each bracelet for $6 and each ring for $8. So the amount she earns from selling bracelets is 6b and the amount she earns from selling rings is 8r.

The craft fair committee charges a $25 fee to sell at the fair. So Marisol's total earnings after paying the fee is 6b + 8r - 25. It costs Marisol $2 to make a bracelet and $4 to make a ring. So the total cost of making b bracelets and r rings is 2b + 4r. To make a profit, Marisol's earnings must be greater than her costs,

6b + 8r - 25 > 2b + 4r

Simplifying this inequality, we get,

4b + 4r > 25

We also know that Marisol wants to sell at least $600 in jewelry. This can be expressed as,

6b + 8r > 600

Finally, Marisol wants to spend less than $300 for supplies and the fee. This can be expressed as,

2b + 4r + 25 < 300

Simplifying this inequality, we get,

2b + 4r < 275

Therefore, the system of inequalities that represents the situation is,

6b + 8r > 600

4b + 4r > 25

2b + 4r < 275

where b represents the number of bracelets and r represents the number of rings that Marisol makes.

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Roger and Trish will have completed 11/30 of the homework if they work together for 1 hour.

First, we need to find their individual rates of work, which is the reciprocal of the time it takes for each to complete the homework:

Roger's rate: 1/6 of the homework per hour

Trish's rate: 1/5 of the homework per hour

When they work together, their combined rate of work is the sum of their individual rates:

Combined rate: 1/6 + 1/5 = 11/30 of the homework per hour

After working together for 1 hour, they will have completed:

11/30 * 1 = 11/30 of the homework

Therefore, Roger and Trish will have completed 11/30 of the homework if they work together for 1 hour.

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Answer: I believe the only option would be Length.

The length determines the distance between the two endpoints.

I can't think of a reason why you'd need to use height or width when measuring a line on a graph. Besides if it were height, it'll just be the length of the line when vertical. And all generated graphed lines have the same width. You wouldn't need to measure it.

Hopefully it's correct.

The probabilities are given as follows:

The z-score of a measure X of a normally distributed variable that has mean represented by [tex]\mu[/tex] and standard deviation represented by [tex]\sigma[/tex] is obtained by the equation presented as follows:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The mean and the standard deviation for this problem is given as follows:

[tex]\mu = 957, \sigma = 193[/tex]

The probability is the p-value of Z when X = 1000.1 subtracted by the p-value of Z when X = 964.6, hence:

Z = (1000.1 - 957)/193

Z = 0.22.

Z = 0.22 has a p-value of 0.5871.

Z = (964.6 - 957)/193

Z = 0.04.

Z = 0.04 has a p-value of 0.5160.

Hence:

0.5871 - 0.5160 = 0.0711.

For the sample of 58, the standard error is obtained as follows:

s = 193/sqrt(58) = 25.34.

Hence:

Z = (1000.1 - 957)/25.34

Z = 1.7.

Z = 1.7 has a p-value of 0.9554.

Z = (964.6 - 957)/25.34

Z = 0.3.

Z = 0.3 has a p-value of 0.6179.

Hence:

0.9554 - 0.6179 = 0.338.

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