how to write 3,24 as a common fraction without using a calculator​

The simplify value of numeric expression, 3 + 2, after adding 3456 then subtracting 45 and then dividing by 20 is equals the 17.8.

We have an expression of numbers, 3 + 2 we have to apply some arithematic operations on it and determine the final simplfy value. Let the expression be x = 3 + 2, add 3456 in it

=> x = 3 + 2 + 3456

Substracts 45 from above expression

=> x = 3 + 2 + 3456 - 45

Dividing the above expression of x by 20

=>

\(\frac{ x } {20} = \frac{ 3 + 2 + 3456 - 45}{20}\)

\(= \frac{3416}{20}\)

= 17.8

Hence, required simplify value is 17.8.

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The required function is f(x) = xy - (9/2) x² + 4

To find a function that satisfies the given conditions, we can integrate the equation dy/dx = 9xy with respect to x.

This will allow us to find an expression for f(x).

Let's start by integrating both sides of the equation:

∫ dy/dx dx = ∫ 9xy dx

Integrating the left side gives us y, and integrating the right side requires the use of integration by parts.

Using u = x and dv = 9y dx, we have du = dx and v = ∫ 9y dx.

∫ 9xy dx = 9 ∫ x dy

Using integration by parts, we have:

∫ x dy = xy - ∫ y dx

Substituting this back into the equation, we get:

y = xy - 9 ∫ y dx

Rearranging the terms, we have:

y + 9 ∫ y dx = xy

Now, let's evaluate the integral on the right side:

\(\int\ y dx = \int (1/x)(x dy) = \int (1/x) d(x^2/2) = (1/2) \int (1/x) d(x^2)\)

Using the chain rule, we can simplify this further:

\((1/2) \int (1/x) d(x^2) = (1/2) \int d(x^2) = (1/2) x^2 + C\)

Substituting this back into the equation, we get:

\(y + 9((1/2) x^2 + C) = xy\)

Simplifying, we have:

\(y + (9/2) x^2 + 9C = xy\)

Now, we need to determine the constant C.

Since the graph of f passes through the point (0, 4), we can substitute these values into the equation:

\(4 + (9/2)(0)^2 + 9C = 0(4)\\4 + 0 + 9C = 0\\9C = -4\\C = -4/9\)

Substituting this value of C back into the equation, we have:

\(y + (9/2) x^2 - 4 = xy\)

Rearranging, we finally obtain the function f(x):

\(f(x) = xy - (9/2) x^2 + 4\)

Hence the required function is f(x) = xy - (9/2) x² + 4

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Answer:

1 acre is equal to 43,560 square feet.

Step-by-step explanation:

Hope it helped!

Answer:57

Step-by-step explanation:

Ascends means go up ,rise ,or climb up ,

-150 rise up to 93 feet =57

Negative 150 subtract by 93 you get 57

Your ascending 57feet up ,

And to make sure your correct you can add 57+93 and you’ll get 150

I hope this helps ,have a good day

Answer:

Step-by-step explanation:

Triangle MNP is a right triangle with the following values:

Interior angles of a triangle sum to 180°. Therefore:

m∠M + m∠N + m∠P = 180°

m∠M + 58° + 90° = 180°

m∠M + 148° = 180°

m∠M = 32°

To find the measures of sides MN and NP, use the Law of Sines:

\(\boxed{\begin{minipage}{7.6 cm}\underline{Law of Sines} \\\\$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$\\\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are the angles. \\ \phantom{ww}$\bullet$ $a, b$ and $c$ are the sides opposite the angles.\\\end{minipage}}\)

Substitute the values into the formula:

\(\dfrac{MN}{\sin P}=\dfrac{NP}{\sin M}=\dfrac{PM}{\sin N}\)

\(\dfrac{MN}{\sin 90^{\circ}}=\dfrac{NP}{\sin 32^{\circ}}=\dfrac{8}{\sin 58^{\circ}}\)

Therefore:

\(MN=\dfrac{8\sin 90^{\circ}}{\sin 58^{\circ}}=9.43342722...\)

\(NP=\dfrac{8\sin 32^{\circ}}{\sin 58^{\circ}}=4.99895481...\)

To find the perimeter of triangle MNP, sum the lengths of the sides.

\(\begin{aligned}\textsf{Perimeter}&=MN+NP+PM\\&=9.43342722...+4.99895481...+8\\&=22.4323820...\\&=22.43\; \sf units\; (2\;d.p.)\end{aligned}\)

Answer:

poop

Step-by-step explanation:

The z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

The z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

How to find the Z score

P(Z ≤ z) = 0.60

We can use a standard normal distribution table or a calculator to find that the z-score corresponding to a cumulative probability of 0.60 is approximately 0.25.

Therefore, the z-score for P(? ≤ z ≤ ?) = 0.60 is approximately 0.25.

For the second question:

We want to find the z-score such that the area under the standard normal distribution curve to the right of z is 0.30. In other words:

P(Z ≥ z) = 0.30

Using a standard normal distribution table or calculator, we can find that the z-score corresponding to a cumulative probability of 0.30 is approximately -0.52 (since we want the area to the right of z, we take the negative of the z-score).

Therefore, the z-score for P(z ≥ ?) = 0.30 is approximately -0.52.

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Answer: The first hour is free, and the rest charges is $2.50

Let x be the time.

Let y be the total

Your equation will look like

When x < 2, y = 0

When x > 1, y = $2.50(x)

So:

1 < x < ∞ for hours, then equation will look like:

y = total amount

$2.50 is cost (remember that the first hour is for free, and so you subtract $2.50 from the total.

$2.50x - $2.50 = y should be your equation.

hope this helps

Step-by-step explanation:

The mean of the five numbers 223, 264, 216, 218, and 229 is 230.

To calculate the mean, follow these steps:
1. Add the numbers together: 223 + 264 + 216 + 218 + 229 = 1150
2. Divide the sum by the total number of values: 1150 / 5 = 230
The mean represents the average value of the dataset. In this case, the mean value of the five numbers provided is 230, which gives you a central value that helps to understand the general behavior of the dataset. Calculating the mean is a bused in statistics to summarize data and identify trends or patterns within a set of values.

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The probability of choosing the biased coin if you won a prize is 22/27 or 0.30556

What is probability?

The probability of any coin chose is 1/2.

Probability if biased chosen and win is 1/2(1-0.78).

The probability of win 1/2 (1-0.78) + 1/2 (1-0.5)

Therefore,

P(biased/win) = P(biased ∩ win) / P(win)

= 1/2(1-0.78) / [ 1/2 (1-0.78) + 1/2 (1-0.5) ]

= 1/2(0.22) / [ 1/2(0.22) +1/2(0.5) ]

= 22/27

= 0.30556

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Answer:

i dont get it is it an angle or a triangle

Answer:

423.9

Step-by-step explanation:

To solve this problem you need to use the formula for surface area. This formula can either be used with the radius or the diameter. I prefer using diameter because it is easier to remember and it is easier to calculate. The formula writes as follows: \(SA=d\pi h+d\pi ^{2}\\\\\). To use this formula all we have to do is insert the values into the formula and solve.

\(SA=d\pi h+d\pi ^{2}\\\\SA=(9)\pi(6)+\pi(9) ^{2}\\\\SA=54\pi+81\pi\\\\SA=54\pi+81\pi\\\\SA=135\pi\\\\SA=423.9\)

423.9 is our answer.

The correct answer is b.

The child's height is 1.5 standard deviations below the mean height for children his age.

A z-score is a measure of how many standard deviations an observation is away from the mean of the distribution. A z-score of -1.5 means that the child's height is 1.5 standard deviations below the mean height for children his age. This indicates that the child's height is lower than the average height of his peers.

Option a is incorrect because the z-score does not measure what the model predicted for the child's height, but rather how far the child's height deviates from the mean height of his peers.

Option c is incorrect because the z-score does not measure how low or high the child's height is in absolute terms, but rather how far it deviates from the mean.

Option d is partially correct but not specific enough, as the z-score tells us how much lower the child's height is compared to the mean, but not whether it is unusually low or not.

Option e is incorrect because the z-score is a measure of standard deviations, not inches.

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If a child's height has a z-score of -1.5, it means that the child's height is 1.5 standard deviations below the mean height for children his age. So the correct option is C.

The z-score measures the number of standard deviations a particular data point is from the mean of the distribution. A z-score of -1.5 indicates that the child's height is 1.5 standard deviations below the mean height for children his age. Since the z-score is negative, it means that the child's height is below the mean height for his age group. In other words, the child is shorter than what the model predicted for his height.

The mean height for children his age represents the average height of all children in that age group. Standard deviation measures the amount of variability in the height measurements of the children in that age group. A z-score of -1.5 indicates that the child's height is 1.5 standard deviations below the mean height for his age group. This means that the child's height is significantly lower than that of his peers.

Therefore, if a child's height has a z-score of -1.5, it means that the child's height is significantly lower than the mean height for children his age, and he is shorter than what the model predicted for his height.

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Answer:

AB: 3

BC: 5

CD: 3

DA: 5

Step-by-step explanation:

You’re welcome

Answer:

k=8

Step-by-step explanation:

2k+5=21  (-5 on both sides to get rid of +5)

2k=16      (divide by 2 to get rid of that 2 in front of K)

k=8

The value of GK = 18.6, GM = 14.5 AND JZ = 19.9.

From the figure:

MZ is a perpendicular bisector of ∆GHJ.

GM = MJ

GM = 14.5

KZ is a perpendicular bisector of ∆GHJ.

GK = KH

GK = 18.6

Z is the circumcenter of ∆GHJ.

JZ = GZ

JZ = 19.9

Therefore the value of GK = 18.6, GM = 14.5 AND JZ = 19.9.

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Answer:

M=1/6

Step-by-step explanation:

The percentage of scores will fall between 85 and 115 is 68.26%

Given,

Scores on the Wechsler Adult Intelligence Scale (WAIS) are normally distributed with,

Mean = 100

Standard deviation = 15

We have to find the percentage of scores fall between 85 and 115.

That is,

P(85 < X < 115) = \ \(P\) \((\frac{85-100}{15}\)  <  \(\frac{x-mean}{standard deviation}\)  < \(\frac{115-100}{15}\)\()\)

= P(-1 < Z < 1)

= \P(Z < 1) - P(Z < -1)

= 0.8413 - 0.1587

\P(85 < X < 115) = 0.6826

The probability that a person would score between 85 and 115 is 0.6826

And, the percentage of scores will fall between 85 and 115 is 68.26%

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The x-coordinate of the x-intercept of line k is -5/2.

Since this point lies on the x-axis, its y-coordinate is 0.

Given that the line has a y-intercept at the point (0, p), where p is a positive constant. This means that when x = 0, y = p.

As we know that the equation of the line can be written as y = mx + b, where m is the slope and b is the y-intercept.

Here, the slope is the negative of the fraction 2p/5, so the equation of line k is y = -2p/5 x + p.

Substitute y = 0 into the equation and solve for x:

0 = -2p/5 x + p

Subtract p from both sides and then multiply by 5/(-2p):

-2p/5 x = -p

x = (-p)(5/2p)

x = -5/2

Therefore, the x-coordinate of the x-intercept of line k is -5/2.

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Answer:

-2x -54 here is the answer

Answer:

23.6

Step-by-step explanation:

Answer:

23.6 is the correct answer

Answer:

It equal

Step-by-step explanation:

The height of the tree is approximately 30.60 meters.

To find the height of the tree, we can use the trigonometric relationship between the height of an object, the length of its shadow, and the angle of elevation of the sun.

Let's denote the height of the tree as h and the length of its shadow as s. The angle of elevation of the sun is given as 38 degrees.

Using the trigonometric function tangent, we have the equation:

tan(38°) = h / s

Substituting the given values, we have:

tan(38°) = h / 84.75ft

To convert the length from feet to meters, we use the conversion factor 1ft = 0.3048m. Therefore:

tan(38°) = h / (84.75ft * 0.3048m/ft)

Simplifying the equation:

tan(38°) = h / 25.8306m

Rearranging to solve for h:

h = tan(38°) * 25.8306m

Using a calculator, we can calculate the value of tan(38°) and perform the multiplication:

h ≈ 0.7813 * 25.8306m

h ≈ 20.1777m

Rounding to two decimal places, the height of the tree is approximately 30.60 meters.

The height of the tree is approximately 30.60 meters, based on the given length of the shadow (84.75ft) and the angle of elevation of the sun (38 degrees).

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The volume of a sphere can be calculated using the formula V = (4/3)πr^3, where r is the radius of the sphere and π is a constant equal to approximately 3.14. The volume of the globe of the moon with a radius of 13 centimeters is approximately 10678 cubic centimeters

Given that the globe of the moon has a radius of 13 centimeters, we can calculate its volume using this formula.

Plugging in the value for the radius, we get:

V = (4/3)π(13)^3

V ≈ 10678

Rounding to the nearest whole number, we get the volume of the globe of the moon to be 10678 cubic centimeters.

In summary, the volume of the globe of the moon with a radius of 13 centimeters is approximately 10678 cubic centimeters. This was calculated using the formula for the volume of a sphere, which involves raising the radius to the third power and multiplying by a constant. The answer was then rounded to the nearest whole number.

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Supercomputers are the most powerful computers at any given time, but are built especially for assignments that require arithmetic speed.

The supercomputers, which are the most advanced and high-performance computers available, are specifically constructed to handle assignments that demand rapid arithmetic processing.

These machines are optimized for executing complex mathematical operations and simulations, enabling them to tackle problems that require immense computational power.

By harnessing parallel processing, massive memory capacities, and specialized architectures, supercomputers excel in solving scientific, engineering, and research challenges that necessitate exceptional arithmetic speed.

Their capabilities contribute to advancements in various fields, including weather forecasting, molecular modeling, astrophysics, and cryptography.

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The windmill's blade measures 7 feet in length.

To find the measure of the windmill's blade:

Therefore, the windmill's blade measures 7 feet in length.

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The correct question is given below:

The equation h=7sin(pi/21t)+28 can be used to model the height, h, in feet of the end of one blade of a windmill turning on an axis above the ground as a function of time, t, in seconds. How long is the blade? Assume that the blade is pointing to the right, parallel to the ground, at t = 0, and that the windmill turns counterclockwise at a constant rate. 7 feet 14 feet 21 feet 28 feet

Answer:

x = 18

Step-by-step explanation:

Solve for x:

6.2 = x - 11.8

6.2 = x - 11.8 is equivalent to x - 11.8 = 6.2:

x - 11.8 = 6.2

Add 11.8 to both sides:

x + (-11.8 + 11.8) = 11.8 + 6.2

11.8 - 11.8 = 0:

x = 6.2 + 11.8

6.2 + 11.8 = 18:

Answer: x = 18

Answer:

x-11.8=6.2

Step-by-step explanation:

add 11.8 for both sides

then x=11.8+6.2

the result of adding is 18

x=18.0

S.S={18.0}

It is not possible to get a score of 9 because 9 is an odd number.

What are numbers?

Numbers are mathematical symbols used to represent values or quantities. They are classified into different types based on their properties and can be used in different areas for counting, measuring, and solving problems.

What is meant by odd numbers?

Odd numbers are integers that are not evenly divisible by 2. They are characterized by having a remainder of 1 when divided by 2. They are expressed as 2n+1, where n is an integer. Examples are 1, 3, 5, 7, 9, etc.

Possibilities:

1.All three pennies score 1: total score is 3.

2.Two pennies score 1 and one penny scores 0: total score is 2.

3.Two pennies score 0 and one penny scores 1: total score is 1.

4.All three pennies score 0: total score is 0.

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Answer:118.6

Step-by-step explanation:

Answer:

  118.6°

Step-by-step explanation:

You want the value of the obtuse angle marked x in the triangle with sides 20, 23, and 37.

In the given triangle, the relevant formulation of the law of cosines is ...

  b² = a² +c² -2ac·cos(B)

Solving for angle B, we get ...

  B = arccos((a² +c² -b²)/(2ac))

  B = arccos((20² +23² -37²)/(2·20·23)) ≈ 118.6°

The value of x is about 118.6°.