What is the simplest positive form of
-35(mod 6)?

Answer:2mph

Step-by-step explanation:

There are 6,840 ways.

To solve this problem, we can use the permutation formula:

nPr = n! / (n - r)!

where n is the total number of members and r is the number of positions to be filled.

For the president position, there are 20 options. After the president is chosen, there are 19 members remaining for the vice-president position. Finally, for the secretary position, there are 18 members remaining.

Therefore, the total number of ways to choose a president, a vice-president, and a secretary from 20 members is:

20P1 * 19P1 * 18P1 = (20! / 19!) * (19! / 18!) * (18! / 17!) = 20 * 19 * 18 = 6,840

Therefore, there are 6,840 ways to choose a president, a vice-president, and a secretary from 20 members of a club.

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Answer:

The second, third, and fifth one.

Step-by-step explanation:

Home this helps

The volume of each cone is given as follows:

The volume of a cone of radius r and height h is given by the equation presented as follows:

V = πr²h/3.

Hence the volume for each cone in the context of this problem is given as follows:

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Answer:

George : Carl : Alex = 1 : 12 : 4

Step-by-step explanation:

let a = Alex's age in years

let g = George's age in years

let c = Carl's age in years

Given:

⇒ a = 12 + g

⇒ g = a - 12

Given:

⇒ c = 3a

Given:

⇒ a + g + c = 68

Substitute the first two equations in the last equation and solve for a:

⇒ a + (a - 12) + 3a = 68

⇒ 5a - 12 = 68

⇒ 5a = 80

⇒ a = 16

Substitute the found value of a into the other equations to find g and c:

⇒ g = 16 - 12 = 4

⇒ c = 3(16) = 48

Therefore:

Ratio

George : Carl : Alex = 4 : 48 : 16

Reduce by dividing by 4 → 1 : 12 : 4

Answer:

m1 = 125

m2 = 55

m3 = 125

m4 = 55

m5 = 125

m6= 55

m7 = 55

Step-by-step explanation:

well since m8 is 125 so m7 is 180-125 which is 55 and as u can see m7 and m8 ae equal to m1 and m2 which also means they are equal to m6 and m5 and m3 and m5 so the opposite angles are equal to each other>

The sum of the power series may be expressed as the product of these  geometric series:

\(∑ ((3^n)(n!))/(n+3) = (∑ (3^n)(n!) * (1/3)) * (Σ (1/3) * (1/(n+3)))\)

The energy collection can be written as:

\(∑ ((3^n)(n!))/(n+3)\)

To specify the sum of the electricity series in phrases of a geometric collection, we need to simplify the terms. Let's rewrite the series as follows:

\(∑((3^n)(n!))/(3(n+3)) = ∑ ((3^n)(n!))/3 * Σ (1/(n+3)\)

Now, we are able to see that the not-unusual ratio in the collection is 3. We can rewrite the collection as a geometric series with the use of the commonplace ratio:

\(∑ ((3^n)(n!))/(3(n+3)) = ∑ ((3^n)(n!))/3 * Σ (1/(n+3)\)

The first part of the series, Σ ((3^n)(n!))/three, is the geometric series with a not-unusual ratio of 3. We can express it as:

\(∑ ((3^n)(n!))/3 = ∑ (3^n)(n!) * (1/3)\)

The 2nd part of the collection, Σ (1/(n+3)), is a separate geometric series. We can specify it as:

\(∑(1/(n+3)) = Σ (1/3) * (1/(n+3))\)

Therefore, the sum of the power series may be expressed as the product of these  geometric series:

\(∑ ((3^n)(n!))/(n+3) = (∑ (3^n)(n!) * (1/3)) * (Σ (1/3) * (1/(n+3)))\)

Please word that the expression for the sum of the electricity collection may further simplify depending on the values of n and the variety of the series.

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Answer:

y=-4/3

Step-by-step explanation:

i hope this helps

Answer:

15

Step-by-step explanation:

-3 x -5 = 15

Answer:

9 hours

Step-by-step explanation:

Jan's speed=70 mph

Jo's speed =60 mph

distance between =1170

relative speed=70+60=130

time taken for them to meet will be:

time=(distance)/(relative speed)

=1170/130

=9 hours

The inverse Laplace transform of e^(2s+1)*7 is simply 7 times the inverse Laplace transform of e^(2s+1).
To evaluate L⁻¹[e^(2s+1)(3s²-7)], we need to find the inverse Laplace transform of the given expression. We can start by expanding the expression:

L⁻¹[e^(2s+1)(3s²-7)] = L⁻¹[e^(2s+1)*3s² - e^(2s+1)*7]

Now, we can use the linearity property of the inverse Laplace transform to split the expression into two separate terms:

L⁻¹[e^(2s+1)*3s²] - L⁻¹[e^(2s+1)*7]

The inverse Laplace transform of e^(2s+1)*3s² can be found using the derivative property and the table of Laplace transforms. The inverse Laplace transform of e^(2s+1)*7 is simply 7 times the inverse Laplace transform of e^(2s+1).

By applying the appropriate transformations and consulting the table of Laplace transforms, we can find the final result.

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Answer:

??????????????????????????????????

Step-by-step explanation:

Answer:

1230 I believe I think area is when u add em all up that's what I did good luck

(a) The patient will receive 833 units/hour. +

(b) The IV pump will be set at 41.67 mL/hour.

To the number of units per hour, divide the total number of units (20,000) by the total time in hours (24). Thus, 20,000 units / 24 hours = 833 units/hour.

To determine the mL/hour rate for the IV pump, divide the total volume (1,000 mL) by the total time in hours (24). Hence, 1,000 mL / 24 hours = 41.67 mL/hour.

These calculations assume a continuous infusion rate over the entire 24-hour period. Always consult with a healthcare professional and follow their instructions when administering medications.

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The number of cruise passengers must there have been in 2017 is  26.7 million.

The term "percentage" comes from the Latin phrase "per centum," meaning "by the hundred." Percentages represent fractions with a denominator of 100. In other terms, it is the relationship between portion and whole in which the value of the whole is always assumed to be 100.

Now according to the question;

Let x represent the total number for cruise passengers during 2017.

In 2018, a 6.7% rise in x results in 28.5 million cruise passengers.

So, 106.7 % of x = 28.5

\(\begin{aligned}&\frac{106.7}{100} * x=28.5 \\&\frac{106.7 x}{100}=28.5\end{aligned}\)

Multiplying both sides by 100;

\(\begin{aligned}&\frac{106.7 x}{100} * 100=28.5 * 100 \\&106.7 x=2850\end{aligned}\)

Dividing both sides by 106.7;

\(\frac{106.7 x}{106.7}=\frac{2850}{106.7}\)

x = 26.7

Therefore, the number of cruise passengers in 2017 must have ranged from 26.7 million.

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Step-by-step explanation:

the volume would double

SOLUTION

Given the question, the following are the solution steps to answer the question.

The course of Bear Creek is entirely contained within San Bernardino County, and primarily within the San Bernardino National Forest. It rises near the community of Woodlands, and flows north into Baldwin Lake in the eastern Big Bear Valley.

Hence, the answer is Baldwin Lake.

Answer:

6 ways

Step-by-step explanation:

The number of ways he can display the stamps as follows:

Here we find the factors of 32

i.e.

= 1 × 32 represent 1 row, 32 stamps each

= 2 × 16 represent 2 rows, 16 stamps each.

= 4 × 8 represent 4 rows, 8 stamps each.

= 8 × 4 represent 8 rows with 4 stamps each

= 16 × 2 represent 16 rows with 2 stamps each

= 32 × 1 represent 32 rows with 1 stamp each

So in 6 ways he can displayed  

Answer:

I think is 280km :))))))

Answer:

Andre covered 280km.

Step-by-step explanation:

I would say make a proportion:

?= distance covered

4 - 160

7 - ?

Solve: 7×160÷4=280.

The time needed to complete a certain test is a normal distribution with a mean of 43 minutes and a standard deviation of 8 minutes.

A normal distribution is a bell-shaped curve that represents a continuous probability distribution. The mean, represented by the symbol μ (mu), is the central tendency of the distribution, while the standard deviation, represented by the symbol σ (sigma), measures the spread of the data. In this case, the mean time needed to complete the test is 43 minutes, and the standard deviation is 8 minutes. This means that most people will take around 43 minutes to complete the test, with fewer people taking either longer or shorter times. The standard deviation of 8 minutes suggests that the time it takes people to complete the test can vary by up to 8 minutes from the mean. The normal distribution is a widely used statistical model, and understanding its properties can help us make predictions and draw conclusions about data.

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When multiplying a whole number with a fraction, the first factor will be reduced to a fraction or a decimal, depending on the problem.

In both of the given problems, we are multiplying a whole number with a fraction. When we multiply a whole number with a fraction, we can simply multiply the whole number with the numerator of the fraction and keep the denominator as it is. So, in the first problem, we have 10 multiplied by 1/2. Multiplying 10 with 1 gives us 10, and then we divide it by 2, which gives us 5. Therefore, the first factor, which is 10, will be reduced to 5 in this problem.

In the second problem, we have 15 multiplied by 7/2. Multiplying 15 with 7 gives us 105, and then we divide it by 2, which gives us 52.5. Therefore, the first factor, which is 15, will be reduced to 52.5 in this problem.

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Answer:

im here the answer is b for sure

Step-by-step explanation:

Answer:

8 weeks

Step-by-step explanation:

Rounding to the nearest tenth, the surface area painted is approximately 263.8 square inches.

12π inches / 2π = 6 inches / 2π = 6 / 2 = 3 inches

So, the radius of the rod is 3 inches.

Next, we find the surface area of one piece of the rod by using the formula for the surface area of a cylinder:

Surface area = 2πr(h + r)

Surface area = 2π * 3 * (4 + 3) = 2π * 3 * 7 = 42π square inches

Finally, we multiply the surface area of one piece of the rod by 2 to find the total surface area painted:

Surface area painted = 42π square inches * 2 = 84π square inches

Using π ≈ 3.14, the surface area painted is approximately 84 * 3.14 = 263.76 square inches.

Therefore, The rounding to the nearest tenth, the surface area painted is approximately 263.8 square inches.

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Answer:

81 for the first blank and 12 for the second.

Step-by-step explanation:

The rule is divie or multiply by 9. (depending on what side its asking)

Answer:

Step-by-step explanation:

The gray shadowed area is below descending function and the line is dashed.

It means coefficient x is m<0 and the sign of inequality is y <  

So the inequality wich  fit it is  y < -1/2x + 2

The blue shadowed area is above ascending function and the line is uninterrupted.

It means coefficient x is m>0 and the sign of inequality is y ≥

So the second inequality of system (y ≥ 3x - 1)  also match.

The system of linear inequalities represented by this graphed solutions are y ≤ -1/2x + 2  and y < 3x - 1​

The standard equation of a line is expressed as y = mx + b;

For the blue line, the y-intercept is at y = -1. For the slope passing through (0, -1) and (2, 5):

m = 5+1/2-0

m= 6/2

m = 3

The equation of the line is y = 3x - 1

Since the line is dashed and the left part shaded, the inequality expression will be y < 3x - 1

For the black line, the y-intercept is at y = 2. For the slope passing through (0, 2) and (4, 0):

m = 0-2/4-0

m= -2/4

m = -1/2

The equation of the line is y = -1/2x + 2

Since the line is solid and the lower part shaded, the inequality expression will be y ≤ -1/2x + 2

Hence the system of linear inequalities represented by this graphed solutions are y ≤ -1/2x + 2  and y < 3x - 1​

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Answer:

B

Step-by-step explanation:

600 adults and 400 children attended the opening night's show

Let x represent the number of children and y represent the number of adult.

Since 1000 seat auditorium was sold out!, hence:

x + y = 1000   (1)

they had $3400. Hence:

2.5x + 4y = 3400    (2)

Solving equations 1 and 2 simultaneously gives:

x = 400, y = 600

600 adults and 400 children attended the opening night's show.

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