the japanese bullet train that travels from tokyo to kyoto averages 156 kph the distance from tokyo to kyoto is 380 km, write a function to represent

The time taken by the Cadesia to cover 12 laps is 30 minutes.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that Cadesia swims 2 laps every 5 minutes. If she continues to swim at a constant rate.

The time taken by the Cadesia will be calculated as,

2 laps = 5 minutes

1 lap = 5 / 2 minutes

12 lap = (5 x 12 ) / 2

12 lap = 30 minutes

Therefore, the time taken by the Cadesia to cover 12 laps is 30 minutes.

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Answer:

tu aimes les hommes

Step-by-step explanation:

Answer: hola soy nuevo

Step-by-step explanation:

Answer:

Step-by-step explanation:

The sides would be unbalanced. To get the sides of a triangle, you have to add up the first two sides. The two sides combined usually have to be less than or equal to 15 to be considered "balanced". 22 is greater than 15, so that would leave you with an unbalanced triangle, sometimes considered degenerate. A degenerate triangle is a flat triangle that almost looks like a line. The triangle's vertices all lie on the same line, which makes it look very flat. That's why degenerate triangles are rarely considered "balanced" in regards to unit measures. So, given this is an unbalanced triangle, the answer to your question would be no.

Hope this helps!

= 816,480 arrangements.

To keep TH together we have do arrangements of : M, A, TH, E, M, A, T, I, C, S, so there are 10 objects to be arranged.We will make arrangements of these 10 and then substract cases where THE exists.Number of arrangements of above 10 objects = 10!/(2!*2!) = 907,200 ( We have divided by 2! twice because two copies of M and A are present). Number of arrangements where THE is together = 9!/((2!*2!) =  90,720.So Number of arrangements = 907,200 - 90,720 = 816,480

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Answer:

\( \blue{p = \frac{2}{5} }\)

Step-by-step explanation:

\(5 {p}^{3} = 8 \times {5}^{ - 2} \\ 5 {p}^{3} = 8 \times \frac{1}{5^{2} } \\ 5 {p}^{3} = 8 \times \frac{1}{25} \\ 5 {p}^{3} = \frac{8}{25} \\ {p}^{3} = \frac{8}{25 \times 5} \\ {p}^{3} = \frac{2 \times 2 \times 2}{5 \times 5 \times 5} \\ p = \sqrt[3]{\frac{2 \times 2 \times 2}{5 \times 5 \times 5}} \\ p = \frac{2}{5} \)

The percent of change is an increase in altitude of the weather balloon.

Change in altitude = New altitude - Original altitude

= 103 ft - 100 ft

= 3 ft

Percentage change = Change in altitude / Original altitude × 100

= 3 / 100 × 100

= 3%

Therefore, the percentage change in the altitude of the weather balloon is 3%.

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The investment is expected to generate an annualized return of 13.5%.

To calculate the IRR of the given cash flows, we need to find the discount rate that equates the present value of all the cash inflows and outflows. Let's break down the calculations step by step:

Assign a negative sign (-) to cash outflows and a positive sign (+) to cash inflows. This convention helps distinguish between the two types of cash flows.

The given cash flows are:

T0: -865,000

T1: +315,000

T2: -25,000

T3: +605,000

T4: +27,000

Set up the equation for the IRR calculation. The IRR equation is derived from the NPV formula, where the NPV is set to zero.

0 = -865,000 + (315,000 / (1 + IRR)¹) - (25,000 / (1 + IRR)²) + (605,000 / (1 + IRR)³) + (27,000 / (1 + IRR)⁴)

Solve the equation to find the IRR. Unfortunately, finding the exact IRR through manual calculations can be challenging. However, we can use computational tools like Excel or financial calculators to find an approximate value. These tools use numerical methods to solve complex equations.

Using a financial calculator or Excel, the IRR for the given cash flows is approximately 13.5%.

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Answer: 60

Step-by-step explanation:

x%30 = 18

x = 18 * 100 / 30 = 18 * 10 / 3 = 60

Answer:

Step-by-step explanation:

The diagonal ^2= 13^2+7^2

=169+49=218

diagonal = V218

the lengh of the square=l

l^2+l^2= 218

2l^2=218

l^2= 218/2= 109

l= ✓109

Answer:

The slope of the line through the points is -5/7

Step-by-step explanation:

Here, we want to calculate the value of the slope through the lines

Mathematically;

m = y2-y1/(x2-x1)

Where (x1,y1) = (-4,2)

and (x2,y2) = (3,-3)

Substituting these values, we have;

m = (-3-2)/(3-(-4)) = -5/7 = -5/7

The slope of the line through (-4, 2) and (3, -3) is; -5/7

According to the question;

The slope, m of the line is given mathematically as;

Therefore, in this case;

Slope, m = -5/7

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Answer:

Im sure its the fourth one.

Step-by-step explanation:

Answer:

<1 and <5 by the corresponding angles theorem

Answer:

1. corresponding angles theorem, 2. linear pair postulate, 3. definition of supplementary angles (I am not a %100 sure on number 3 though)

Step-by-step explanation:

Answer: b

Step-by-step explanation:

bc

Answer: A

Step-by-step explanation:

Answer:

Parallelogram

Step-by-step explanation:

a quadrilateral (4 sides figure) whose opposite sides are parallel.  The opposite sides have the same length and opposite angles are equal.

Helping in the name of Jesus.

The quadratic polynomial whose zeroes are 1/2α and 1/2β i 3/5 x² + qx + 8/25

Given polynomial is 25x² - 15x + 2.

The sum of the zeroes is -b/a and the product of the zeroes is c/a.

Given the polynomial 25x² - 15x + 2, we have the following equations:

α + β = -(-15)/25 = 15/25 = 3/5

αβ = 2/25

Now let's consider the polynomial with zeroes 1/2α and 1/2β.

We can express the quadratic polynomial as follows:

Let the quadratic polynomial be of the form px² + qx + r.

The sum of the zeroes, 1/2α + 1/2β, is equal to (α + β)/2, and the product of the zeroes, (1/2α)(1/2β), is equal to (αβ)/4.

(α + β)/2 = 3/5

(αβ)/4 = 2/25

Multiplying the first equation by 2 and substituting the values for the sum and product of the zeroes, we get:

(3/5)(2) = 6/10 = 3/5 = p

(2/25)(4) = 8/25 = r

3/5 x² + qx + 8/25 is the quadratic polynomial.

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Step-by-step explanation:

» The base of a the cylinder is a circle, assume it is a general circle;

\({ \tt{area = \pi {r}^{2} }} \\ { \tt{ = 3.14 \times {( \frac{12}{2}) }^{2} }} \\ \\ = { \tt{3.14 \times {6}^{2} }} \\ = { \tt{3.14 \times 36}} \\ { \tt{ =113.0973355292325 }} \\ = { \boxed{ \blue{ \tt{ \: area =113.10 \: {cm}^{2} }}}}\)

You are required to find the weight of each eggplant

The weight of each eggplant is 5/4 pounds

Let

Number of eggplant = 3

Total Weight of eggplant = 3 3/4 pounds

Weight of each eggplant = Total Weight of eggplant ÷ Number of eggplant

= 3 3/4 ÷ 3

= 15/4 ÷ 3

= 15/4 × 1/3

= (15 × 1) / (4 × 3)

= 15/12

= 5/4 pounds

Weight of each eggplant = 5/4 pounds

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The unit of measurement for coding the length of lacerations d)centimeters.

Centimeters are the most common unit of measurement used to code the length of lacerations. This is because they are a small enough unit of measurement that they can accurately describe even the smallest of lacerations.

Centimeters are also the most commonly used metric unit of length, making them the most useful when coding lacerations for medical records. In addition, centimeters are a more precise unit of measurement than inches and are accepted internationally as a unit of measurement, making them the best choice when coding lacerations.

Finally, centimeters are consistent units of measurement, making it easy to compare laceration lengths between different patients and different medical records.

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Answer:

Step-by-step explanation:

For a start simplify each of the roots:

Now simplify the expression in steps:

\(\sqrt{72}-\cfrac{48}{\sqrt{50} } -\cfrac{45}{\sqrt{128} } +2\sqrt{98} =\)

\(6\sqrt{2}-\cfrac{48}{5\sqrt{2} } -\cfrac{45}{8\sqrt{2} } +2*7\sqrt{2} =\)

\(6\sqrt{2}-\cfrac{48*8+45*5}{5*8\sqrt{2} } +14\sqrt{2} =\)

\(20\sqrt{2}-\cfrac{609}{40\sqrt{2} } =\)

\(20\sqrt{2}-\cfrac{609*\sqrt{2} }{40\sqrt{2} *\sqrt{2} } =\)

\(20\sqrt{2}-\cfrac{609\sqrt{2} }{40*2 } =\)

\(20\sqrt{2}-\cfrac{609\sqrt{2} }{80 } =\)

\(\sqrt{2} (20-7\cfrac{49}{80} )=\)

\(\sqrt{2} *12\cfrac{31}{80} =\)

\(\cfrac{991\sqrt{2} }{80}\)

Answer:

\(\pink{\frac{991 \sqrt{2} }{80} }\)

Step-by-step explanation:

\(\sqrt{72} - \frac{48}{ \sqrt{50} } - \frac{45}{ \sqrt{128} } + 2 \sqrt{98} \\\\\)

Simplify the roots.

√72 ⇒ 6√2

√50 ⇒ 5√2

√128 ⇒ 8√2

√98 ⇒ 7√2

\(6 \sqrt{2} - \frac{48}{5 \sqrt{2} } - \frac{45}{8 \sqrt{2} } + 2 \times 7 \sqrt{2} \\\\\)

Now, to rationalize the denominator, multiply the numerator and denominator of the fractions (48 / 5√2) by √2 and (45/8√2) by √2.

\(6\sqrt{2}-\frac{48*\sqrt{2} }{5\sqrt{2}*\sqrt{2} } -\frac{45\sqrt{2} }{8\sqrt{2}*\sqrt{2} } +14\sqrt{2}\\ \\6\sqrt{2}-\frac{48\sqrt{2} }{5*2 } -\frac{45\sqrt{2} }{8*2 } +14\sqrt{2}\\\\6\sqrt{2}-\frac{48\sqrt{2} }{10 } -\frac{45\sqrt{2} }{16 } +14\sqrt{2}\)

Make the denominator the same to solve the fractions.

\(\frac{6\sqrt{ 2}*80}{1*80} -\frac{48\sqrt{2} *8}{10*8} -\frac{45\sqrt{2}*5 }{16*5} +\frac{14\sqrt{2}*80 }{1*80} \\\\\frac{480\sqrt{ 2}}{80} -\frac{384\sqrt{2} }{80} -\frac{225\sqrt{2} }{80} +\frac{1120\sqrt{2} }{80}\)

\(\frac{991\sqrt{80} }{80}\)

The product of a rational and an irrational number can be either rational or irrational, depending on the specific numbers involved.

To illustrate this, let's consider an example:

Let's say we have the rational number 2/3 and the irrational number √2.

Their product would be (2/3) * √2.

In this case, the product is irrational.

The square root of 2 is an irrational number, and when multiplied by a rational number, the result remains irrational.

However, it's also possible to have a product of a rational and an irrational number that is rational. For example, if we consider the rational number 1/2 and the irrational number √4, their product would be (1/2) * 2, which equals 1. In this case, the product is a rational number.

Therefore, we cannot make a definitive statement that the product of a rational and an irrational number is always rational or always irrational. It depends on the specific numbers involved in the multiplication.

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y = -3/2x + 5/2

Explanation-

slope intercept form is y = mx + b

so we have to solve the equation for y

2y = 5 - 3x

y = 5/2 -3/2x

or

y = -3/2x + 5/2

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The angle that is complementary to angle 1 is an angle whose measure, combined with the measure of angle 1, is of 90º.

Two angles are said to be complementary angles when the sum of their measures is of 90º.

Hence the angle that is complementary to angle 1 is an angle whose measure, combined with the measure of angle 1, is of 90º.

The problem is incomplete, hence the general procedure to obtain an angle complementary to angle 1 is presented.

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Answer:

0.75

Step-by-step explanation:

The two negatives cancel each other out and divide like normal.  6 divided by 8 equals 3/4 or 0.75.

Answer:

approximately 10.3 days to reach 500 bacteria

Step-by-step explanation:

Let's use the formula for exponential growth to write an equation that represents the situation: N = N0 * e^(rt)

where N is the number of bacteria, N0 is the initial number of bacteria, e is Euler's number (approximately 2.718), r is the growth rate, and t is the time in days.

We know that after 4 days, the number of bacteria is 71, so we can plug these values into the equation to solve for the growth rate: 71 = N0 * e^(4r)

Similarly, after 7 days (4 + 3), the number of bacteria is 185: 185 = N0 * e^(7r)

Now we have two equations with two unknowns (N0 and r). We can divide the second equation by the first equation to eliminate N0: 185/71 = e^(3r)

Taking the natural logarithm of both sides, we get: ln(185/71) = 3r

Solving for r, we get: r = ln(185/71) / 3 ≈ 0.558

Now we can use the first equation and the growth rate we just found to solve for N0:

71 = N0 * e^(4 * 0.558)

N0 ≈ 11.7

So the initial number of bacteria was approximately 11.7.

To find out how long it will take to reach 500 bacteria, we can plug in the values we know into the equation and solve for t: 500 = 11.7 * e^(0.558t)

Dividing both sides by 11.7, we get: e^(0.558t) ≈ 42.74

Taking the natural logarithm of both sides, we get: 0.558t ≈ ln(42.74)

Solving for t, we get: t ≈ ln(42.74) / 0.558 ≈ 10.3 days

Therefore, it will take approximately 10.3 days for the sandwich to be fully covered with bacteria.

Answer:

4

Step-by-step explanation:

2 + 2 = 4

you add two and two.

Answer:

2 + 2 => 4

high level answer in photo

Minimal sedation is characterized by c) less than 50% N2O in the first stage of the continuum.

Minimal sedation is defined as a state in which the patient is able to respond normally to verbal commands, breathe on their own and maintain stable blood pressure and heart rate. It is achieved by administering a small dose of a sedative or anxiolytic medication.

Minimal sedation is a light form of sedation that allows the patient to remain conscious and responsive throughout the procedure, and it helps the patient to relax and reduce anxiety.

It is considered a safer option than deeper forms of sedation as the patient remains able to breathe on their own, which reduces the risk of complications. This level of sedation is often used in procedures such as dental work, minor skin procedures, and diagnostic tests.

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Answer:

Function 2

Step-by-step explanation:

slope of Function 1 is 5/8

slope of Function 2 is 3/4, or 6/8

Answer:

2 pi

Step-by-step explanation:

The radius is 2

The area of a circle is

A = pi r^2

We have 1/2 of a circle so

1/2 A = 1/2 pi r^2

         =1/2 pi ( 2)^2

         =1/2 pi *4

      = 2 pi

The required number for given expression is a = -3/2

Mathematical expressions consist of at least two numbers or variables, at least one math procedure, and a sentence. It's possible to multiply, divide, add, or subtract with this mathematical procedure. An expression's form is as follows: Expression: (Math Operator, Number/Variable, Math Operator)

We given that

Nine less than four times a number equals fithteen;'

Let the number is a.

So,

9 - 4a = 15

-4a = 6

a = 6/-4

a = -3/2

Thus, required number is a = -3/2

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Answer:

\(\frac{-x^{2}+5x-1}{2x^{2} -x-1}\)

Step-by-step explanation: