13.6 kilometers to 23.8 kilometers

The equation for the hyperbola with foci (0,±5) and asymptotes y=± 3/4 x is:

y^2 / 25 - x^2 / a^2 = 1

where a is the distance from the center to a vertex and is related to the slope of the asymptotes by a = 5 / (3/4) = 20/3.

Thus, the equation for the hyperbola is:

y^2 / 25 - x^2 / (400/9) = 1

or

9y^2 - 400x^2 = 900

The center of the hyperbola is at the origin, since the foci have y-coordinates of ±5 and the asymptotes have y-intercepts of 0.

To graph the hyperbola, we can plot the foci at (0,±5) and draw the asymptotes y=± 3/4 x. Then, we can sketch the branches of the hyperbola by drawing a rectangle with sides of length 2a and centered at the origin. The vertices of the hyperbola will lie on the corners of this rectangle. Finally, we can sketch the hyperbola by drawing the two branches that pass through the vertices and are tangent to the asymptotes.

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Answer:

And so, in fact, we can perform a series of similarity transformations that map to . And so, the answer is yes, triangle would need to be dilated by a scale factor of three, rotated, and then reflected.

Step-by-step explanation:

Answer & Step-by-step explanation:

We will only get a tornado if there is already a thunderstorm materializing

0.80 * 0.14 = 0.112

Probability of a tornado = 11.2%

There is a 100 - 14 = 86% chance of a tornado not being produced.

0.80 * 0.86 = 0.688

Probability of a storm and no tornado = 68.8%

Answer:

C

Step-by-step explanation:

It does what the equation says. It multiplies x by 36

I hope this helps!

Answer:

730 x 0.028 = (assuming per year) 20.44

20.44 x 5 = 102.2

102.2 + 730 = 832.2

Your final answer is 832.2

Step-by-step explanation:

Hope this helps!

The value of amount will be in Jean's account after 5 years is,

⇒ Amount = $832.2

The multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.

We have to given that;

Jean deposits $730 in an account that pays 2.8% simple interest.

And,  He neither adds more money nor withdraws any mone from his account.

Now, We know that;

Interest = PRT / 100

Where, P is principal amount,

R is rate

And, t is time.

Hence, Substitute the values we get;

Interest = 730 x 2.8 x 5 /100

            = $102.2

Hence, The value of amount will be in Jean's account after 5 years is,

⇒ $730 + $102.2

⇒ $832.2

Therefore, The value of amount will be in Jean's account after 5 years is,

⇒ Amount = $832.2

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a) The electric field (Erec) and potential (V) at Prec (0,0,1) if rho_s = rho_o within region (1 ≤ r_c ≤ 2, 0 ≤ Φ ≤ 2π), and rho_s = 0 elsewhere are Erec = 0 and V = 0.

b) The electric field (Erec) and potential (V) at Prec (0,0,1) if rho_s = rho_o within region (1 ≤ r_c ≤ 2, 0 ≤ Φ ≤ π/2), and rho_s = 0 elsewhere are Erec = 0 and V = 0.

a) In this case, the surface charge density rho_s is nonzero only within the region defined by 1 ≤ r_c ≤ 2 and 0 ≤ Φ ≤ 2π. Since the point Prec is located at z = 1, which is above the plane z = 0, the contribution of rho_s to the electric field and potential at Prec is zero. This is because the electric field due to a surface charge distribution is perpendicular to the surface, and since Prec is located above the surface, there is no electric field contribution from rho_s. Similarly, since the electric field is zero, the potential is also zero at Prec.

b) In this case, the surface charge density rho_s is nonzero within the region defined by 1 ≤ r_c ≤ 2 and 0 ≤ Φ ≤ π/2. Again, since the point Prec is located at z = 1, above the plane z = 0, the contribution of rho_s to the electric field and potential at Prec is zero. This is because the electric field due to a surface charge distribution is perpendicular to the surface, and since Prec is located above the surface, there is no electric field contribution from rho_s. Consequently, the potential at Prec is also zero.

In both cases, the contributions from the surface charge distribution rho_s to the electric field and potential at Prec are zero due to the specific location of Prec with respect to the surface charge distribution.

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Step-by-step explanation:

is this simultaneous equation

reply in the comments

\( = > 3x + 15 + 4x + 12 = 180 \\ = > 7x + 27 = 180 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = > \: 7x = 180 - 27 = 153 \: \: \: \: \\ x = \frac{153}{7} = 21 \\ x = 21\)

The number of 40-kilogram crates that can be loaded into the shipping containe is 272.5.

Two or more expressions with an equal sign is called as Equation.

Given data :

Weight of the crate = 40 kg

Greatest weight that the container can load = 23000 kg

Weight of the other shipments on the container = 12100 kg

So the greatest number of 40 kg crates = c

Therefore, the weight of the other shipment + weight of crate x number of crates ≤ greatest weight of the container

12100 + (40 x c) ≤ 23000

12100 + 40c ≤ 23000

40c ≤ 23000 - 12100

40c ≤ 10900

c ≤ 272.5

Hence, the maximum number of 40 kg crate is 272.5.

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Answer:

B

Step-by-step explanation:

Your body temperature increases when you are awake and it looks like the slope increases at around hour 34.

Answer:

B) a long-term from of torpor

Yes, the BMI (Body Mass Index) satisfies the conditions of the definition of an index.

The BMI is a widely used index to assess body weight in relation to height. It is calculated by dividing a person's weight in kilograms by the square of their height in meters (BMI = weight (kg) / height^2 (m^2)).

The BMI satisfies the conditions of an index because it provides a numerical value that represents a specific characteristic or measurement (in this case, body weight relative to height). It is standardized and allows for comparisons among individuals.

The BMI also allows for comparisons to a base BMI or reference value. For example, the World Health Organization (WHO) has established BMI categories to classify individuals as underweight, normal weight, overweight, or obese. These categories serve as a base or reference for comparing an individual's BMI to a standard range.

By comparing an individual's BMI to the base BMI categories, healthcare professionals and researchers can assess the relative weight status and associated health risks. The BMI provides a convenient tool for population-level studies, health assessments, and tracking trends in weight-related health conditions.

Therefore, the BMI satisfies the conditions of an index and allows for comparisons of a BMI to a base BMI or reference values.

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Given the graph in the attached image.

The red line represents f(x) and the blue line represents g(x);

From the graph;

The intercept, b, of f(x) is

and the slope, m, of f(x) is;

So, f(x) is;

For g(x)

The y-intercept, b, of g(x) is;

and the slope, m, of g(x) is;

So, g(x) is;

To derive the solution, let us equate the two equations;

What's the Question? or the Problem you need Help

Answer:

x= 9.2 (nearest tenth)

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:

The right choice is Esther's

Step-by-step explanation:

Present worth of GH¢ after 3 years is better as its present really worth may be very high than GH¢ a thousand of today. Here fee of interest is not given to compare however GH¢ 3000 after three years will be equivalent to present well worth GH¢ 1000 if charge of interest >44.5% which may be very very excessive. Thus charge of interest > 44.5% Then GH¢ 3000 payable after 3 years could be equivalent to GH¢ 1000 Hence vide has made the proper preference. If interest price >44.5%.

Then Esther's preference will he right. (thinking about time value of money).

Answer:

2(18x - 3)

to answer questions like these, read the question literally. the answer will almost always be how the question looks like. hope this helps:)

Answer:

The first one, 60,000+60

Step-by-step explanation:

The equation of the line passing through the points (7,4) and (−5,4) in point slope form is y - 4 = 0

The equation of a line can be represented in point slope form as follows;

y - y₁ = m(x - x₁)

where

Therefore, let's find the equation of a line passing through the points (7, 4) and (-5, 4).

Let's find the slope of the line. The slope of the line is the change in the dependent variable with respect tot he change in the independent variable.

Hence,

m = 4 - 4 / -5  - 7

m = 0  / 12

m = 0

Therefore, using (7, 4) the equation in point slope form is as follows;

y - 4 = 0(x - 7)

y - 4 = 0

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Answer:

x = 3.5

Step-by-step explanation:

Given

\(3^{2x-5}\) = 9 , that is

\(3^{2x-5}\) = 3²

Since the bases on both sides are equal, both 3 , then equate the exponents

2x - 5 = 2 ( add 5 to both sides )

2x = 7 ( divide both sides by 2 )

x = 3.5

The total length of each roll of edging in Mrs. Thomas's scale drawings will be 19.2 cm.

To find the total length of each roll of edging in her scale drawings, we need to convert the length from inches to centimeters using the given scale.

To convert the length to centimeters:

( Length in cm ) / ( Length in inches ) = ( 1  cm ) / ( 5 inches )

x / 96 inches = 1 cm / 5 inches

x 5 inches = 96 inches x 1 cm

5x = 96 cm

x = 96 cm / 5

x = 19.2 cm

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Step-by-step explanation:

5b²+39b=8

<=> 5b²+39b-8=0

(5b-1)(b+8)=0

b = ¹/5 or b = -8

b=-8 and b=1/5.

Answer:

Solution given:

5b²+39b=8

5b²+39b-8=0

try to do middle term factorization.

it needs 40 while multiplication and 39 when subtraction.

it is 40-1 and 40*1

now

doing middle term factorization

5b²+(40-1)b-8=0

5b²+40-b-8=0

take common from each 2 term

5b(b+8)-1(b+8)=0

again take common and keep remaining in another brackets

(b+8)(5b-1)=0

either

b=-8

or

b=1/5

Answer:

5+5+8+8=26

the perimeter of a 5ft by 8ft rectangle is 26ft

Step-by-step explanation:

Hope this helps!!!

-Liyah

Answer:

26ft

Step-by-step explanation:

The formula for the perimeter of a rectangle is P= 2w + 2l

w= 5ft and l= 8ft

so P= 2 x 5 + 2 x 8

= 26ft

Answer:

21

Step-by-step explanation:

Answer:

1.5

Step-by-step explanation:

Im not sure but this is my best answer

Setting x1 to zero in the equation 2x1 + 1x2 = 30 results in the value of x2 being 30.

The given equation is 2x1 + 1x2 = 30, where x1 and x2 represent variables. To find the value of x2 when x1 is set to zero, we substitute x1 with zero in the equation.

By replacing x1 with zero, we have 2(0) + 1x2 = 30. Simplifying further, we get 0 + 1x2 = 30, which simplifies to x2 = 30.

When x1 is set to zero, the equation reduces to a simple linear equation of the form 1x2 = 30. Therefore, the value of x2 in this scenario is 30.

Setting x1 to zero effectively eliminates the contribution of x1 in the equation, allowing us to focus solely on the value of x2. In this case, when x1 is removed from the equation, x2 becomes the sole variable responsible for fulfilling the equation's requirement of equaling 30. Thus, x2 is determined to be 30.

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The total number of visitors to the website in the first 6 weeks are  12510.

What is the number?

A number is a mathematical object used to represent a quantity or value. Numbers can be positive, negative, or zero, and can be represented in various ways such as decimals, fractions, or percentages.

To find the sum of the expression \(\sum_{(n=1)} (14) 5n+3\), we can use the formula for the sum of an arithmetic sequence:

Sₙ = n/2 * [2a + (n-1)d]

where Sₙ is the sum of the first n terms of the sequence, a is the first term, d is the common difference, and n is the number of terms.

In this case, a = 5(1) + 3 = 8 (the first term of the sequence), d = 5 (the common difference), and n = 14 (the number of terms we want to sum). Plugging these values into the formula, we get:

S₁₄ = 14/2 * [2(8) + (14-1)(5)]

= 7 * [16 + 65]

= 7 * 81

= 567

Therefore, the sum of the expression  \(\sum_{(n=1)} (14) 5n+3\) is 567.

We can write a function in Python to determine the number of boxes in the top row:

python boxes_in_top_row(num_rows, bottom_row):

"""

Returns the number of boxes in the top row of a supermarket display, given the number of rows

and the number of boxes in the bottom row.

"""

total_diff = (num_rows - 1) * 7 # total difference in boxes between top row and bottom row

top_row = bottom_row - total_diff # number of boxes in top row

return top_row

Using this function, we can find the number of boxes in the top row of a display with six rows and a bottom row of 63:

boxes in top row(6, 63)

21

Therefore, there are 21 boxes in the top row.

To find the total number of boxes in the display, we can use the formula for the sum of an arithmetic series:

Sₙ = n/2 * [2a + (n-1)d]

where Sₙ is the sum of the first n terms of the sequence, a is the first term, d is the common difference, and n is the number of terms.

In this case, a = 21 (the number of boxes in the top row), d = -7 (the common difference between rows), and n = 6 (the number of rows). Plugging these values into the formula, we get:

S₆ = 6/2 * [2(21) + (6-1)(-7)]

= 3 * [42 - 35]

= 3 * 7

= 21

Therefore, the total number of boxes in the display is 21 + 28 + 35 + 42 + 49 + 56 = 231.

To find the total number of visitors to the website in the first 6 weeks, we can use a geometric sequence:

a = 418 (the number of visitors in the first week)

r = 4 (the common ratio between weeks)

n = 6 (the number of weeks we want to consider)

The formula for the sum of a geometric sequence is:

S_n = a(1 - rⁿ) / (1 - r)

Plugging in the values we have, we get:

S₆ = 418(1 - 4⁶) / (1 - 4)

= 418(1 - 4096) / (-3)

= 12510

Therefore, the total number of visitors to the website in the first 6 weeks are 12510.

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Answer:

To solve the given system of equations using the substitution method, we need to solve one equation for one variable and then substitute that expression into the other equation for that same variable. Let's solve the second equation for y.

-x + y = 4

y = x + 4

Now we can substitute this expression for y into the first equation and solve for x.

-2x + 2(x + 4) = 7

-2x + 2x + 8 = 7

8 = 7

The equation 8 = 7 is not true, which means the system of equations has no solution. We can see this visually by graphing the two lines. They are parallel and will never intersect, which means there is no point that satisfies both equations.

Therefore, the solution to the system of equations is "No solution."

Note: Please be sure to double-check your work to avoid mistakes.

Step-by-step explanation:

Hope this helps you!! Have a wonderful day/night!!

False. The statement is not true. The inclusion or exclusion of Investor-State Dispute Settlement (ISDS) provisions in the Free Trade Agreement (FTA) between the United States and Australia does not directly impact Philip Morris USA's decision to establish a subsidiary in Malaysia and sue the Australian government over the Tobacco Plain Packaging Act.

Philip Morris USA, a subsidiary of Philip Morris International, did take legal action against the Australian government over the Tobacco Plain Packaging Act. However, the basis for the lawsuit was not related to the ISDS provisions in the FTA between the US and Australia. Instead, Philip Morris argued that the plain packaging legislation violated its intellectual property rights, specifically the trademark and branding of its tobacco products.

It's important to note that the US-Australia FTA, which came into effect in 2005, did not include an ISDS mechanism. Therefore, the false statement in question incorrectly connects the absence of ISDS in the FTA with Philip Morris USA's decision to file a lawsuit in Malaysia against the Australian government.

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