how to write this numbers in word 89.04​

The 12.7 moles of a compound contain 7.65 x 10 24 particles.

Avogadro's number is the number of units, which could be atoms, particles, electrons, molecules, or even ions, per mole of a substance. The value of Avogadro's number is 6.02214076 x 10 23.

To answer this question, we will multiply the given moles of the compound to Avogadro's number, which will have a unit of particles/mol.

Number of particles of given compound = number of moles * Avogadro's number in particles/mol = 12.7 moles * 6.02214076 x 10 23 particles/moles

Number of particles of given compound = 7.65 x 10 24 particles

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4.1 quarts is equal to 131.2 ounces using the unit conversion technique.

We need to convert between units in order to ensure accuracy and prevent measurement misinterpretation. For example, we do not measure a pencil's length in kilometers. In this situation, one must convert from kilometers (km) to centimeters (cm) (cm).

The same attribute is expressed using a unit conversion, but in a different unit of measurement. For instance, time can be stated in minutes rather than hours, and distance can be expressed in kilometers, feet, or any other measurement unit instead of miles.

4.1 ounce is given.

In order to convert the unit to ounces, given that one quart contains 32 fluid ounces, multiply 4.1 by 32.

4.1 qt =4.1 × 32 oz= 131.2 oz

4.1 qt = 131.2 fl oz

So, 4.1 Quarts is equal to 131.2 Fluid Ounces.

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The equivalent value of Danny's money is 30.2 dollars.

One U.S. dollar is equivalent to about 6 Chinese yuan and one U.S. dollar is equivalent to about 3 3/4 Saudi riyal.

Danny has 48 yuan and 84 riyal. Let's find the equivalent of Danny's currency in dollars.

Therefore,

6 yuan = 1 dollars

48 yuan = ?

cross multiply

amount in dollars = 48 / 6 = 8 dollars

Let's convert 84 riyals to dollars.

3 3 / 4 (15 / 4) riyals = 1 dollars

84 riyals = ?

cross multiply

amount in dollars = 84 ÷ 15 / 4

amount in dollars = 84 × 4 / 15

amount in dollars = 336 / 15

amount in dollars = 22.4 dollars

Therefore,

total amount Danny has  = 22.4 + 8  = 30.2 dollars

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Answer:

There are three basic trigonometric ratios: sine , cosine , and tangent . Given a right triangle, you can find the sine (or cosine, or tangent) of either of the non- 90° angles. Example: Write expressions for the sine, cosine, and tangent of ∠A .

Step-by-step explanation:

Hope this helped, Have a Wonderful Day!!

If Washington Auto Repair originally paid its mechanics $40 per hour. Now that there is a new owner, mechanics make $30.90 per hour. The percent of decrease in pay is: 22.75%.

Using this formula to find or determine the percent decrease

Percent decrease = Original Value – New Value/Original value

Let plug in the formula

Percent decrease  = $40 per hour - $30.90 per hour / $40 per hour

Percent decrease = $9.10 /  $40 per hour × 100

Percent decrease = 22.75%

Therefore the percent decrease is 22.75%.

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Answer: y = 17x + 114

Step-by-step explanation:

The equation for the slope-intercept form is y = mx + b.

Arrange the equation so that it resembles y = mx + b.

You will do this by multiplying and subtracting so y is on the left side of the equation and mx + b is on the right side of the equation.

y + 5 = 17(x + 7)

y + 5 = 17x + 119

y + 5 - 5 = 17x + 119 - 5

y = 17x + 114

Answer:

Y = 17x + 114

Step-by-step explanation:

1. Y + 5 = 17 (x+7)

2. Y + 5 = 17x + 119   [Multiply the numbers in parenthesis by 17.]

3. Y = 17x + 114.     [To keep the balance and move the 5 over, subtract it from 119.]

The Justice Policy Institute suggests expanding the use of mathematical principles, particularly probability theory, in the health and human services sector to promote positive outcomes instead of relying on suppression.

Probability theory is a branch of mathematics that deals with the analysis of uncertain events. By applying probability theory, we can quantify the likelihood of different outcomes and make informed decisions based on evidence. In the context of health and human services, expanding the use of probability theory can provide valuable insights and guide policy decisions towards positive outcomes.

Instead of relying on suppression, which often focuses on punitive measures or attempts to control behavior through strict enforcement, a probabilistic approach can offer a more nuanced and comprehensive perspective. It allows us to understand the underlying factors contributing to certain behaviors or outcomes and design interventions accordingly.

This model can help identify the factors that increase the risk of substance abuse and those that promote positive behaviors. By incorporating statistical techniques, such as regression analysis or machine learning algorithms, we can identify significant predictors and develop tailored interventions to mitigate risks and enhance protective factors.

By expanding the use of probability theory and other mathematical concepts in the health and human services sector, we can move away from suppression and towards a more proactive and evidence-based approach. This approach allows us to understand the underlying mechanisms driving certain behaviors and design interventions that have a higher likelihood of success.

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There will be 30 trucks when there are 5 cars, maintaining the 1:6 ratio.

Given that the ratio of cars to trucks is 1:6, we can determine the number of trucks by multiplying the number of cars by the ratio. If there are 5 cars, we can calculate the number of trucks using the ratio.

Let's assume the number of trucks as "x." According to the given ratio, we have the equation:

1 car : 6 trucks = 5 cars : x trucks

To solve for x, we can set up a proportion:

1/6 = 5/x

Cross-multiplying, we get:

1 * x = 6 * 5

x = 30

Therefore, there will be 30 trucks when there are 5 cars, based on the given ratio of 1:6.

Alternatively, we can calculate the number of trucks by dividing the number of cars by the fraction representing the ratio:

Number of trucks = (Number of cars) / (Ratio of cars to trucks)

Number of trucks = 5 / (1/6)

Number of trucks = 5 * (6/1)

Number of trucks = 30

So, there will be 30 trucks when there are 5 cars, maintaining the 1:6 ratio.

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The sοlutiοns in οrder frοm least tο greatest are:

Lesser x = -4

Greater x = 1

Ascending οrder refers tο the arrangement οf numbers in which the smallest number cοmes befοre the largest.

Tο sοlve fοr x in the equatiοn \(x^2 + 3x - 4 = 0\), we can use the quadratic fοrmula:

\(x= \frac{(-b+\sqrt{b^{2} -4ac} )}{2a} \\\)

where a, b, and c are the cοefficients οf the quadratic equatiοn\(ax^2 + bx + c = 0.\)

In this case, a = 1, b = 3, and c = -4. Substituting these values intο the quadratic fοrmula, we get:

\(x = (-3\± \sqrt{(3^2 - 4(1)(-4)))} / 2(1)\\\\x = (-3 \± \sqrt{(25))} / 2\\\\x = (-3 \± 5) / 2\)

This gives twο pοssible sοlutiοns:

x1 = (-3 - 5) / 2 = -4

x2 = (-3 + 5) / 2 = 1

Therefοre, the sοlutiοns in οrder frοm least tο greatest are:

Lesser x = -4

Greater x = 1

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Answer:

a

Step-by-step explanation:

a

Answer:

1 / 243

Step-by-step explanation:

To write 3^-5 using a positive exponent, we can use the rule that a negative exponent is equivalent to the reciprocal of the same quantity raised to the positive exponent. In other words:

a^(-n) = 1 / a^n

Applying this rule to 3^-5, we get:

3^-5 = 1 / 3^5

Now we can simplify 3^5 as:

3^5 = 3 x 3 x 3 x 3 x 3 = 243

So, the answer is 1 / 243

Answer:

\(\frac{1}{3^5}\)

Step-by-step explanation:

using the rule of exponents

\(a^{-m}\) = \(\frac{1}{a^{m} }\)

then

\(3^{-5}\) = \(\frac{1}{3^5}\)

Answer: 729 cubic yards

Step-by-step explanation:

To calculate the volume of a cube,

we need to multiply its side 3 times, so

9×9×9=729.

The solution of the equation 3z minus 2 is equal to 46 is 16.

The given equation '3z minus 2 is equal to 46' can be written as

    3z - 2  =   46

Now solving for z because the value of z will give the required solution of the given equation. So now finding the z from the equation:

   3z = 46  + 2

   3z =  48

   z = 48/3

   z = 16

The value of the z is 16 which represents the solution of the given equation i.e 3z minus 2 is equal to 46.

Therefore it is concluded that the solution of the equation 3z minus 2 is equal to 46 is 16.

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Length of the rectangle is 41m, width of the rectangle is 41m and maximum area of the rectangle is 1681 \(m^{2}\).

Let l and w denote the length and width of the rectangle.

Its perimeter is 2(l + w) which is given 164.

∴ l + w = \(\frac{164}{2}\) = 82 ----------------  (1)

Now area A of the rectangle is given by

A = lw.

from equation (1),

A = l(82 - l)

A = 82l - \(l^{2}\)

⇒ A(l) = 82l - \(l^{2}\)--------------------- (2)

We are required to maximize A.

We know that, for Amax,

A'(l) = 0 and A''(l) < 0

equation (2)⇒

A'(l) = 0

82 - 2l = 0

         l = \(\frac{82}{2}\)

         l = 41.

Further, A''(l) = -2 < 0 ∀ l

Thus l = 41 gives Amax.

Hence the required dimension of the rectangle for maximum area are

l = 41 m

and w = 82 - l

          = 82 - 41

      w = 41 m

Therefore

A = lw = (41)(41)

A = 1681 \(m^{2}\)

Therefore the maximum area of rectangle is 1681 \(m^{2}\).

Given question is incomplete. Here I consider perimeter = 164m.

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The p-value for testing H0 (null hypothesis) versus Ha (alternative hypothesis) is 0.0038. We need to determine whether H0 would be rejected at different significance levels: α = 0.10, α = 0.05, α = 0.01, and α = 0.001.

To make the decision, we compare the p-value with the chosen significance level. If the p-value is less than or equal to the significance level, we reject H0. Otherwise, we fail to reject H0.

At α = 0.10: Since the p-value (0.0038) is less than 0.10, we reject H0.

At α = 0.05: Since the p-value (0.0038) is less than 0.05, we reject H0.

At α = 0.01: Since the p-value (0.0038) is greater than 0.01, we fail to reject H0.

At α = 0.001: Since the p-value (0.0038) is greater than 0.001, we fail to reject H0.

In summary:

H0 would be rejected at α = 0.10 and α = 0.05.

H0 would not be rejected at α = 0.01 and α = 0.001.

Please note that the decision to reject or fail to reject the null hypothesis depends on the chosen significance level, and different levels of significance can lead to different conclusions.

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Answer:

triangle GHK

Step-by-step explanation:

angles add up to 180

angle N + angle M + angle O = 180

79 + 22 + angle N = 180

180 - 79 -22 = angle N = 79

triangle GHK has 2 of the same angles (79 and 79), so that is our answer

Computed values: E(3-2)=1, E(X)=0, Var(X)=11, E(-5Y + 3)=33, Var(Z) + 2=15, E(522)=522.

Let's break down the expressions and compute their values:

E(3-2):

  The expectation (E) of a constant is simply the constant itself. Therefore, E(3-2) = 3 - 2 = 1.

E(X):

  The expectation of X is given as E(X) = 0.

Var(X):

  The variance (Var) of X is given as Var(X) = 11.

E(-5Y + 3):

  Using linearity of expectation, we can separate the expectation of each term:

  E(-5Y + 3) = E(-5Y) + E(3).

  Since Y is a random variable and -5 is a constant, we can bring the constant outside the expectation:

  E(-5Y + 3) = -5E(Y) + 3.

  Substituting the given value, E(Y) = -6:

  E(-5Y + 3) = -5(-6) + 3 = 30 + 3 = 33.

Var(Z) + 2:

  The variance of Z is given as Var(Z) = 13.

  Adding 2 to the variance gives Var(Z) + 2 = 13 + 2 = 15.

E(522):

  Since 522 is a constant, its expectation is equal to the constant itself.

  Therefore, E(522) = 522.

To summarize the computed values:

E(3-2) = 1

E(X) = 0

Var(X) = 11

E(-5Y + 3) = 33

Var(Z) + 2 = 15

E(522) = 522

If you have any further questions or need additional explanations, feel free to ask!

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Answer:

Graph (0,4), graph (6,7) then connect in a straight line.

Step-by-step explanation:

Answer:

-95

Step-by-step explanation:

multiply before you subtract

Answer:

La verdad Nose la respuesta espero que alguien te ayude

Answer:

I think the answer is B.12

If this not correct, Sorry.

The value of the sin theta will be equal to \(Sin\theta =\sqrt{\dfrac{2}{3}}\)

The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle termed trigonometry.

Given that:-

The value of Sin will be calculated as:-

\(Sin^2\theta +Cos^2\theta = 1\\\\Sin^2\theta + \dfrac{\sqrt{3}}{2}=1\\\\Sin^2\theta = 1 -\dfrac{1}{3}\\\\Sin\theta = \sqrt{\dfrac{2}{3}}\)

We can see that the value of sin is less than zero therefore

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Answer:

SSS is used

Step-by-step explanation:

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The triangles are congruent with SSS postulates. Then the correct option is D.

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

Two triangles are shown.

The SSS postulate is one of the ways to prove that two triangles are congruent. SSS stands for "side-side-side," and it states that if three sides of one triangle are congruent to the corresponding sides of another triangle, then the two triangles are congruent.

The corresponding sides of the triangle will be equal. Then the triangles are congruent with SSS postulates.

Thus, the correct option is D.

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Enter cost and tip percent to get a tip amount and total dinner amount. ... how many people? ... Calculate a tip or gratuity and get the total amount to pay. ... If you are splitting the cost at a restaurant among several people you can divide by the ... To calculate a gratuity or tip on any calculator it is a simple multiplication.

Answer:

Step-by-step explanation:

Answer:

Circumference = 2(pi)r

C = 2*3.14*4.0= 25.12 round 25.10 m

Step-by-step explanation:

The sample standard deviation is 14.53.

To calculate the sample standard deviation of a 3-observation sample (6, 19, and 35), follow these steps:

1. Find the mean (average) of the sample:

  Mean = (6 + 19 + 35) / 3 = 20

2. Calculate the deviation of each observation from the mean:

  Deviation 1 = 6 - 20 = -14

  Deviation 2 = 19 - 20 = -1

  Deviation 3 = 35 - 20 = 15

3. Square each deviation:

  Squared Deviation 1 = (-14)^2 = 196

  Squared Deviation 2 = (-1)^2 = 1

  Squared Deviation 3 = 15^2 = 225

4. Find the sum of squared deviations:

  Sum of Squared Deviations = 196 + 1 + 225 = 422

5. Calculate the variance:

  Variance = Sum of Squared Deviations / (n - 1) = 422 / (3 - 1) = 211

6. Take the square root of the variance to find the sample standard deviation:

  Sample Standard Deviation = √(Variance) = √(211) ≈ 14.53

Rounding the sample standard deviation to the nearest two decimal places, we have approximately 14.53.

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a) There are 120 ways to line up the 9 friends because the order of arrangement matters, and the total number of permutations is calculated as 9 factorial (9!).

b) There are 10,908 ways to arrange the 11 students around the circle because circular permutations are calculated using (n-1)! formula.

c) The number of ways to make a playlist of 16 songs can be calculated using the concept of permutations, as the order of songs matters, resulting in a total of 16 factorial (16!) ways to arrange them.

To calculate the number of ways the 9 friends can line up, we can treat Joe, Susan, John, and Meredith as a single entity, a group of 4 friends. Now, we have 6 entities (the group of 4 friends and the remaining 5 friends) that can be arranged in a line. The group of 4 friends can be arranged among themselves in 4! (4 factorial) ways. The remaining 5 friends can be arranged among themselves in 5! ways. Therefore, the total number of ways the 9 friends can line up is 4! * 5! = 24 * 120 = 120.

b) position and arrange the remaining 10 students in a line. The number of ways to arrange 10 students in a line is 10!. However, since the circle can be rotated, we need to divide the result by 11 (the number of students) to eliminate duplicates. Therefore, the number of ways the 11 students can be arranged around the circle is 10! / 11 = 10,908.

In this case, the order of the songs matters, and we want to play Leavon, Dream on, Here Comes the Sun, and Clocks in that specific order. Once these four songs are fixed in the playlist, we need to choose the remaining 12 songs from the available options. The number of ways to choose 12 songs from a pool of songs is given by 12!. Therefore, the total number of ways to make the playlist is 12!.

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Answer:

4 ft higher

Step-by-step explanation:

Since the ladder is 10 ft long and its top is 6 feet high(above the ground), we find the distance of its base from the wall since these three (the ladder, wall and ground) form a right angled triangle. Let d be the distance from the wall to the ladder.

So, by Pythagoras' theorem,

10² = 6² + d²  (the length of the ladder is the hypotenuse side)

d² = 10² - 6²

d² = 100 - 36

d² = 64

d = √64

d = 8 ft

Since the ladder is moved so that the base of the ladder travels toward the wall twice the distance that the top of the ladder moves up.

Now, let x be the distance the top of the ladder is moved, the new height of top of the ladder is 6 + x. Since the base moves twice the distance the top of the ladder moves up, the new distance for our base is 8 - 2x(It reduces since it gets closer to the wall).

Now, applying Pythagoras' theorem to the ladder with these new lengths, we have

10² = (6 + x)² + (8 - 2x)²

Expanding the brackets, we have

100 = 36 + 12x + x² + 64 - 32x + 4x²

collecting like terms, we have

100 = 4x² + x² + 12x - 32x + 64 + 36

100 = 5x² - 20x + 100

Subtracting 100 from both sides, we have

100 - 100 = 5x² - 20x + 100 - 100

5x² - 20x = 0

Factorizing, we have

5x(x - 4) = 0

5x = 0 or x - 4 = 0

x = 0 or x = 4

The top of the ladder is thus 4 ft higher