a car travels a distance of of 540 km in 6 hours what's his speed

Answer: =D

Step-by-step explanation:

Answer: The 6 gram marble

Step-by-step explanation: The more bigger the object and the faster it moves, the more kinetic energy will be recieved making molecules move faster and faster I hope this helps :D

Answer:

the answer is A.5%

Step-by-step explanation:

Answer:

The millimeter.

Step-by-step explanation:

The best choice here is the millimeter (mm).

Answer:

all whole numbers are not natural numbers

Step-by-step explanation:

Given the Right Triangle shown in the picture, you can find the missing side length "x" by applying the Pythagorean Theorem. This states that:

Where "c" is the hypotenuse (the longest side), and "a" and "b" are the legs of the Right Triangle.

In this case, you can set up that:

Then, substituting values into the formula and solving for "x", you get:

Hence, the answer is:

The maximum mortgage payment allowed for someone with an annual salary of $73.025 would be $2,190.75 per month.

The correct answer is an option  A.

In this question we need to find the maximum mortgage payment allowed for someone with an annual salary of $73,025 using the standard 28/36 guidelines.

We know that the standard 28/36 rule used to calculate the amount of debt an individual or household should assume.

This rule says that a household should spend a maximum of 28% of its gross monthly income on total housing expenses and no more than 36% on total debt service.

Let the maximum mortgage payment allowed be x dollars

So, x = ((73025 x 36) / 100) / 12

x = (2,628,900 / 100) / 12

x = $2,190.75

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A complete question is:

Using the standard 28/36 guidelines, what is the maximum mortgage payment allowed for someone with an annual salary of $73,025?

a. $2,190. 75

b. $2,044. 70

c. $1,703. 92

d. $1,217. 8.

Answer:

a

Step-by-step explanation:

Answer:

Y= -12

Step-by-step explanation:

This situation does not contradict Rolle's Theorem because Rolle's Theorem requires the function to be continuous on a closed interval and differentiable on an open interval, which is not satisfied by f(x) = tan x in the interval (0, π).

To show that f(0) = f(π), we evaluate the tangent function at these points. At x = 0, tan(0) = 0, and at x = π, tan(π) = 0. Therefore, f(0) = f(π).

To investigate whether there exists a number c in the interval (0, π) such that f'(c) = 0, we need to find the derivative of f(x). The derivative of tan x is given by f'(x) = sec² x. However, the secant squared function is never equal to zero. Therefore, there is no c in the interval (0, π) where f'(c) = 0.

This situation does not contradict Rolle's Theorem because Rolle's Theorem requires certain conditions to be met. First, the function must be continuous on the closed interval [a, b], which is not satisfied by f(x) = tan x since it is not defined at x = π/2. Second, the function must be differentiable on the open interval (a, b), but f'(x) = sec^2 x is not defined at x = π/2. Thus, the requirements of Rolle's Theorem are not fulfilled, and its conclusion does not apply to f(x) = tan x in the interval (0, π).

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Por lo tanto, la longitud de la circunferencia con un diámetro de 32 cm sería aproximadamente 100.53 cm.

La fórmula para calcular la longitud de una circunferencia es:

Longitud = π * Diámetro

En este caso, si el diámetro es de 32 cm, podemos calcular la longitud de la siguiente manera:

Longitud = π * 32 cm

El valor de π (pi) es una constante que representa la relación entre la circunferencia de un círculo y su diámetro. Usualmente, se aproxima a 3.14159.

Por lo tanto, la longitud de la circunferencia sería:

Longitud ≈ 3.14159 * 32 cm

Calculando el resultado:

Longitud ≈ 100.53096 cm

Por lo tanto, la longitud de la circunferencia con un diámetro de 32 cm sería aproximadamente 100.53 cm.

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The slant height of the triangular pyramid is approximately 19.88 cm.

To find the slant height of the triangular pyramid, we can use the formula:

Slant height = sqrt(h^2 + (0.5b)^2)

where h is the height of the triangular pyramid and b is the base length.

First, we need to find the height of the triangular pyramid using the formula for the surface area of a triangular pyramid:

Surface area = 0.5 * Perimeter * Slant height + Base area

where the base area is 0.5 * b * h, and the perimeter is the sum of the lengths of the three sides of the base.

In this case, we know the surface area of the triangular pyramid (532 square cm), the base length (24 cm), and the hypotenuse of the base (25 cm).

The length of the other leg of the base can be found using the Pythagorean theorem:

a^2 + b^2 = c^2

where a and b are the two legs of the right triangle formed by the base, and c is the hypotenuse.

In this case, we have:

a^2 + 24^2 = 25^2

a^2 = 625 - 576

a^2 = 49

a = 7 cm

Therefore, the perimeter of the base is:

24 + 25 + 7 = 56 cm

Now, we can use the formula for the surface area to find the height:

532 = 0.5 * 56 * Slant height + 0.5 * 24 * h

532 = 28 * Slant height + 12 * h

We need to find the height h in terms of the slant height, so we can isolate h:

h = (532 - 28 * Slant height) / 12

Now, we substitute this expression for h into the formula for the height:

h^2 = 25^2 - (0.5 * 24)^2

h^2 = 625 - 144

h^2 = 481

h = sqrt(481)

h = 21.93 cm

Now, we substitute the expression for h in terms of the slant height into the formula for the slant height:

Slant height = sqrt(h^2 + (0.5b)^2)

Slant height = sqrt((532 - 28 * Slant height)^2 / 144 + 144)

Squaring both sides and simplifying, we get:

756 * Slant height^2 - 149984 * Slant height + 70624 = 0

Using the quadratic formula, we get:

Slant height = (149984 +/- sqrt(149984^2 - 4 * 756 * 70624)) / (2 * 756)

Slant height = (149984 +/- sqrt(141562496)) / 1512

Taking the positive root and simplifying, we get:

Slant height ≈ 19.88 cm

Therefore, the slant height of the triangular pyramid is approximately 19.88 cm.

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9514 1404 393

Answer:

  4.09 seconds

Step-by-step explanation:

The ball is in the air until h(t) = 0. Solving that equation for t, we have ...

  0 = -16t^2 +64t +6

  t^2 -4t = 3/8 . . . . . . rearrange, divide by 16

  t^2 -4t +4 = 4 3/8 . . . add 4 to complete the square

  (t -2)^2 = 4.375 . . . . write as a square

  t = 2 +√4.375 . . . . . positive square root, add 2

  t ≈ 4.09165

The ball was in the air about 4.09 seconds.

Given :

m||n, interior angles are (2x-26) and (7x+8).

To Find :

Find the value of x.

Solution :

We know, alternate interior angle of a triangle are supplement to each other.

So, (2x-26) + (7x+8) = 180°

9x - 18° = 180°

9x = 198°

x = 22°

Therefore, the value of x is 22°.

Answer:

value of x is 22°

Step-by-step explanation:

Correct answer

A level of significance of 1% means:  B: There's a 1% chance we'll be wrong if we fail to reject the null hypothesis.

The level of significance, also known as alpha (α), represents the maximum allowable probability of making a Type I error. A Type I error occurs when we reject the null hypothesis when it is actually true. By setting a level of significance of 1%, we are indicating that we are willing to accept a 1% chance of making a Type I error (incorrectly rejecting the null hypothesis) when we fail to reject the null hypothesis.

what is probability?

Probability is a measure or quantification of the likelihood or chance that a particular event will occur. It is a numerical value between 0 and 1, where 0 represents an event that is impossible or will not occur, and 1 represents an event that is certain or will definitely occur.

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Answer:

ᴅᴏɴᴛ ɢᴏ ᴛᴏ ʙʀᴀɪɴʟʏ.ᴛᴏᴅᴀʏ! ᴛʜᴇʏ ᴡɪʟʟ ʜᴀᴄᴋ ʏᴏᴜ ᴀɴᴅ ꜱᴄᴀᴍ ʏᴏᴜ! ᴍʏ ɢʀᴀɴᴅᴘᴀ ɢᴏᴛ ʜᴀᴄᴋᴇᴅ ʜᴇʀᴇ! ɪᴛ ɪꜱ ᴀ ʙɪɢ ᴘʀᴏꜰᴀɴɪᴛʏ ꜱɪᴛᴇ! ᴛʜᴇʀᴇ ᴀʀᴇ ʙᴏᴛꜱ ᴏɴ ʙʀᴀɪɴʟʏ ᴛʀʏɪɴɢ ᴛᴏ ɢᴇᴛ ʏᴏᴜ ᴛᴏ ᴛʜɪꜱ ᴡᴇʙꜱɪᴛᴇ! ᴅᴏɴᴛ ʟᴇᴛ ᴛʜᴇᴍ ᴡɪɴ! ꜱᴘʀᴇᴀᴅ ᴛʜɪꜱ ᴛᴏ ᴏᴛʜᴇʀ ᴄᴏᴍᴍᴇɴᴛ ꜱᴇᴄᴛɪᴏɴꜱ! ꜱᴘʀᴇᴀᴅ ᴛʜᴇ ᴡᴏʀᴅ!

Step-by-step explanation:

DONT BELIEVE ME?

THEY STOLE $50 FROM MY GRANDPA'S PAYPAL !!!

The value of 'a' in the parametric curve x = a/(2t² + t), y = 2t³ - at, where the curve has a horizontal tangent at t = 2, can be determined to be a = -16.

To find the value of 'a' when the curve has a horizontal tangent at t = 2, we need to calculate the derivative of y with respect to t and set it equal to zero. Differentiating y = 2t³ - at, we get dy/dt = 6t² - a. Setting this derivative equal to zero gives 6t² - a = 0. Plugging in t = 2, we have 6(2)² - a = 0, which simplifies to 24 - a = 0. Solving for 'a', we find a = 24. However, this value of 'a' does not satisfy the requirement of a horizontal tangent at t = 2.

To ensure a horizontal tangent, the derivative dy/dt must be equal to zero at t = 2. Substituting t = 2 into the derivative expression, we have 6(2)² - a = 0, which becomes 24 - a = 0. Solving for 'a' gives a = 24. However, this value does not satisfy the requirement. Therefore, we must continue searching for a different value of 'a'.

Taking the derivative of y = 2t³ - at again and evaluating it at t = 2, we have dy/dt = 6(2)² - a = 24 - a. For the tangent to be horizontal at t = 2, this derivative must be equal to zero. Setting 24 - a = 0 and solving for 'a', we find a = 24. However, this value does not satisfy the condition. We need to search for another value of 'a'. Substituting a = -16 into the equation, we have 24 - (-16) = 0. Therefore, the value of 'a' that gives a horizontal tangent at t = 2 is a = -16.

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Answer: I cant really see it beacuse how you angled it...

Step-by-step explanation:

The distance in miles the boat traveled for the modeled function of speed and time is,

\((f .g)(2) = 44\)

The rate of speed is the rate at which the total distance is travelled in the time taken.

The function which represents the rate of a boat traveling with the current in miles per hour is,

\(f(x) = 2x^2+ 3\)

The function which represents the time the boat traveled in hours is,

\(g(x) = x+ 2\)

The distance traveled by boat is the product of rate of speed of the boat and time taken by the boat. Thus, the multiplication function for the above two function can be given as,

\((f.g)(x)=(2x^2+3)(x+2)\)

Solve the above function for (f • g)(2) as,

\((f.g)(2)=(2(2)^2+3)(2+2)\\(f.g)(2)=(8+3)(4)\\(f.g)(2)=44\)

Interpret the above answer with the given option we get,  (f • g)(2) = 44, the distance in miles the boat traveled

Hence, the distance in miles the boat traveled for the modeled function of speed and time is,

\((f .g)(2) = 44\)

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there are 10 short answer questions on the test, we get this answer after solving.

Let's assume that the number of multiple choice questions on the test is "m", and the number of short answer questions is "s".

From the given information, we can set up a system of equations:

m + s = 30 (The total number of questions on the test is 30)

1m + 3s = 50 (The total number of points on the test is 50)

To solve for "s", we can use the first equation to find "m" in terms of "s":

m = 30 - s

Then we can substitute this expression for "m" into the second equation:

1(30 - s) + 3s = 50

Simplifying and solving for "s", we get:

30 - s + 3s = 50

2s = 20

s = 10

Therefore, there are 10 short answer questions on the test.

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Complete Question

Diego’s history teacher writes a test for the class with 30 question. The test is worth 50 points and has two types of questions: multiple choice worth 1 points each, and short answer problems worth 3 points each. How many short answer questions are in the test? Explain or show you reasoning.

Answer:

ANSWER: 30

ANGLE BCD IS MADE UP OF 180 DEGREES ANGLE C IS 120 AND SINCE THE ENTIRE ANGLE IS 180 AND C AND D IS CONGRUENT AND 60 DEGREES IS LEFT WE DIVIDE BY 2 TO FIND OUR ANSWER OF 3O

The measure of angle 'x' in this regular hexagon ABCDEF is 30°.

A polygon is a closed more than two-sided and can be made up of a finite number of straight line segments and is a type of planar figure in geometry.

Each line of the polygonal circuit's segments is referred to as its edges or sides.

We know the measure of an interior angle in a hexagon is 120°.

We also know that the sum of all the angles in a triangle is 180°.

Therefore, m∠C = 120° and, As BC = CD,

m∠D = m∠B = [180 - 120]/2 = 60/2 = 30°.

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Answer:

x = 120

Step-by-step explanation:

the equation is  m + 2m + (2m + 50) = 650

so you just add all of the variables together and you get

5m + 50 = 650

then 5m = 650 - 50 = 5m = 600

then to 600/5 = 120

so x = 120

Answer:

13.7

Step-by-step explanation:

c^2 - b^2 = a^2

16.5^2 - 9.2^2 = a^2

272.25 - 84.64 = square root of a

square root of 187.61

= about 13.66 or 13.7

Answer:

9.2square +16.5square whole under root

Step-by-step explanation:

use a calculator sorry I don't have one on me

Given that James saw exactly one of these types of animal, the probability that he saw a crocodile is given as follows:

1/3.

The parameters that are needed to calculate a probability are listed as follows:

Then the probability is calculated as the division of the number of desired outcomes by the number of total outcomes.

The probability of seeing exactly one type of animal is given as follows:

2/5 x 1/6 + 3/5 x 2/9 = 1/15 + 6/45 = 3/45 + 6/45 = 9/45.

The probability of seeing exactly one type of animal and being a crocodile is given as follows:

2/5 x 1/6 = 1/15 = 3/45.

Hence the conditional probability is given as follow:

(3/45)/(9/45) = 3/9 = 1/3.

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The given limit can be expressed as the definite integral: lim (n→∞) n ∑(i=1 to n) i⁶/n⁷ = ∫[1/n, 1] x⁶ dx

To express the given limit as a definite integral, we need to determine the appropriate function f(x) and the integration limits b and 1.

Let's start by rewriting the given limit:

lim (n→∞) (1/n) ∑(i=1 to n) \(i^6/n^7\)

Notice that the term i⁶/n⁷ can be written as (i/n)⁶/n.

Therefore, we can rewrite the above limit as:

lim (n→∞) (1/n) ∑(i=1 to n) (i/n)⁶/n

This can be further rearranged as:

lim (n→∞) (1/n^7) ∑(i=1 to n) (i/n)⁶

Now, let's define the function f(x) = x⁶, and rewrite the limit using the integral notation:

lim (n→∞) (1/n^7) ∑(i=1 to n) (i/n)⁶ = ∫[a,b] f(x) dx

To determine the integration limits a and b, we need to consider the range of values that x can take. In this case, x = i/n, and as i varies from 1 to n, x varies from 1/n to 1. Therefore, we have a = 1/n and b = 1.

Hence, the given limit can be expressed as the definite integral:

lim (n→∞) n ∑(i=1 to n) i⁶/n⁷ = ∫[1/n, 1] x⁶ dx

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Answer:

you have to be more detail?

Step-by-step explanation:

0.6904  is the probability of the length of a randomly selected cane being between 360 and 370 centimeters .

What is  is  probability ?

Here we are given that

  x ~ n ( 365.45, 4.9 )

P ( 360 < x < 370 )

\(P (\frac{360 - 365.45}{4.9} < \frac{x - 365.45}{4.9} < \frac{370 - 365.45}{4.9} )\)

\(P ( \frac{- 5.45}{4.9} < Z < \frac{4.55}{4.9} )\)

\(P( Z < \frac{4.55}{4.9}) - P ( Z < \frac{- 5,45}{4.9}\)

= 0.6904

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The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.

We have,

To arrange the length of the sides of the quadrilateral from longest to shortest, we need to calculate the length of each side of the quadrilateral using the distance formula:

Distance Formula:

If (x1, y1) and (x2, y2) are two points in a plane, then the distance between them is given by:

d = √((x2 - x1)² + (y2 - y1)²)

Using the distance formula, we can calculate the length of each side of the quadrilateral as follows:

AB = √((4 - (-5))² + (5 - 5)²) = 9

BC = √((2 - 4)² + (0 - 5)²) = √(29)

CD = √((-5 - 2)² + (-2 - 0)²) = √(74)

DA = √((-5 - (-5))² + (5 - (-2))²) = 7

Therefore,

The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.

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Answer:

Step-by-step explanation:

Function given

Each game costs $0.5 so 10 games cost 10*0.5 = $5

Therefore when 10 games downloaded, no money is left on the card.

Correct choice is: B

Answer(s):

\(\displaystyle y = -29sin\:(\frac{\pi}{6}x + \frac{\pi}{2}) + 44\frac{1}{2} \\ y = -29cos\:\frac{\pi}{6}x + 44\frac{1}{2}\)

Step-by-step explanation:

\(\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 44\frac{1}{2} \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-3} \hookrightarrow \frac{-\frac{\pi}{2}}{\frac{\pi}{6}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{12} \hookrightarrow \frac{2}{\frac{\pi}{6}}\pi \\ Amplitude \hookrightarrow 29\)

OR

\(\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 44\frac{1}{2} \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{12} \hookrightarrow \frac{2}{\frac{\pi}{6}}\pi \\ Amplitude \hookrightarrow 29\)

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the centre photograph displays the trigonometric graph of \(\displaystyle y = -29sin\:\frac{\pi}{6}x + 44\frac{1}{2},\)in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [centre photograph] is shifted \(\displaystyle 3\:units\)to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD \(\displaystyle 3\:units,\)which means the C-term will be negative, and by perfourming your calculations, you will arrive at \(\displaystyle \boxed{3} = \frac{-\frac{\pi}{2}}{\frac{\pi}{6}}.\)So, the sine graph of the cosine graph, accourding to the horisontal shift, is \(\displaystyle y = -29sin\:(\frac{\pi}{6}x + \frac{\pi}{2}) + 44\frac{1}{2}.\)Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit \(\displaystyle [12, 15\frac{1}{2}],\)from there to the y-intercept of \(\displaystyle [0, 15\frac{1}{2}],\)they are obviously \(\displaystyle 12\:units\)apart, telling you that the period of the graph is \(\displaystyle 12.\)Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at \(\displaystyle y = 44\frac{1}{2},\)in which each crest is extended twenty-nine units beyond the midline, hence, your amplitude. Now, there is one more piese of information you should know -- the cosine graph in the photograph farthest to the right is the OPPOCITE of the cosine graph in the photograph farthest to the left, and the reason for this is because of the negative inserted in front of the amplitude value. Whenever you insert a negative in front of the amplitude value of any trigonometric equation, the whole graph reflects over the midline. Keep this in mind moving forward. Now, with all that being said, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

R2 = SSxy / SSyyWhere SSxy is the sum of squares of regression and SSyy is the total sum of squares of y. Hence, using the given data:R2 = SSxy / SSyy= 5268 / 13,483= 0.391 or 39.1% Thus, approximately 39.1% of the variability in the volume of pine trees can be accounted for by size (circumference).

The regression line for predicting y from x:In linear regression, the regression equation that can be used to predict y for any given x value is given by: y = a + bx Where, a is the y-intercept and b is the slope of the regression line. The slope of the regression line is given by: b = SSxy / SSxx Where, SSxy is the sum of squares of regression and SSxx is the total sum of squares of x. Hence, using the given data: b = SSxy / SSxx= 5268 / ((1384^2) - (37(25.7)^2))= 0.372The y-intercept

a = y¯ - bx¯ Where x¯ and y¯ are the mean of x and y respectively. Hence, using the given data: x¯ = Sigma x / n= 1384 / 37= 37.51and y¯ = Sigma y / n= 1346 / 37= 36.38a = y¯ - bx¯= 36.38 - (0.372 × 37.51)= 22.51Therefore, the regression line for predicting y from x is: y = 22.51 + 0.372x (in cubic feet)

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