The wheel and axle of a wheel -and -axle have radii 50cm and 10cm respectively. if one -fifth of the work done by the effort is used in overcoming friction, an effort of 500N applied to the wheel will raise what amount of load ?

The number of keys required to fully implement a symmetric algorithm with 10 participants is: 45 (Option C)

Symmetric encryption or Algorithm is a kind of encryption that uses a single key (a secret key) to encrypt and decode electronic data.

The key must be exchanged between the organizations communicating using symmetric encryption so that it may be utilized in the decryption process.

The formula that determines the number of keys necessary for a symmetric algorithm is given as;

(n*(n-1))/2,

which is 45 in this situation, when n = 10.

That is

(10 * (10-1))/2

= 45.

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Full Question:

How many keys are required to fully implement a symmetric algorithm with 10 participants?

A. 10

B. 20

C. 45

D. 100

Answer:

x = 6

Step-by-step explanation:

∡J = ∡K and ∡M = ∡L

because this is an isosceles trapezoid

∡J + ∡M = 180°

because angles at opposite bases are supplementary

then ∡J + ∡M = 180°

∡J = (7x + 2)°

∡M = ∡L = (25x - 14)°

so:

(7x + 2 + 25x - 14)° = 180°

(32x - 12)° = 180°

32x = 180 + 12

32x = 192

x = 6

Answer:

x= 8/9

Step-by-step explanation:

7x + 2 = 25x - 14

-7x         -7x

2 = 18x - 14

+14       +14

16 = 18x

18     18

x=8/9

Question 20. 24 mm3

Question 21. 128 cm 3

Question 22. 50 cm 3

Step-by-step explanation:

make sure u add the cm3 or mm3 and cm3

and that's all

Answer: C {48,65,80}

Step-by-step explanation:

In order for it to be a right triangle it would have to be {48,64,85}

Hope this helps

A scatter plot would be more appropriate to construct for the data, given the context of the problem. The reason is that the marine biologist is interested in seeing the relationship between a manatee's weight and food consumption.

A scatter plot is a type of graph that displays the relationship between two variables, where each variable is plotted along one axis, and a point is placed at the intersection of the two values. In this case, weight would be plotted along one axis and food consumption along the other axis.

A scatter plot allows the researcher to see if there is a relationship between the two variables, and if so, what type of relationship it is (positive, negative, or no correlation). Therefore, a scatter plot is the most appropriate way to display the relationship between a manatee's weight and food consumption.

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Answer:

4 1/2 minutes

Step-by-step explanation:

Answer:

0.46666666666667

Step-by-step explanation:

You could use long division, and see that 7/15 = 0.46666666667.

The volume of the candle is approximately 94 cubic inches.

A circular cylinder is a three-dimensional solid object made up of two parallel and congruent circular bases and a curving surface connecting the bases.

The volume of a right circular cylinder is given by the formula:

V = πr²h

Where

Substituting the given values into the formula, we get:

V = 3.14 x 2² x 7.5

V = 3.14 x 4 x 7.5

V = 94.2

Rounding to the nearest cubic inch, we get:

V ≈ 94 cubic inches

Therefore, the volume of the candle is approximately 94 cubic inches.

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The volume of the prism when Joe is packing the cubes will be 210cm³.

It should be noted that the volume of the prism given in this situation will be:

= Length × Width × Height

In this case, since Joe is packing 1-centimeter cubes into a prism. The volume will be:

= Length × Width × Height

= 5 × 6 × 7

= 210cm³

In conclusion, the volume will be 210cm³.

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Answer:

the value of f(-5) would equal to -4 as the equation turns into 1/3 (-5 - 7) which allows you to multiply it out.

The formula used is \($N(t) = N_0 e^{rt}$\). If a new social network has 1000 users currently and at growth rate of 10% per month, it can be predicted that there will be approximately 2452 users in seven and a half months assuming similar exponential growth.

In the formula used in the spreadsheet model for measuring exponential growth i.e. \($N(t) = N_0 e^{rt}$\)

N(t) is the number of cases at time t

N₀ is the initial number of cases

e is the mathematical constant approximately equal to 2.71828

r is the growth rate (expressed as a decimal)

To adapt this formula to predict the number of users of a new social network, we can replace the variables with the appropriate values. For example, if the new social network has 1000 users currently and is growing at a rate of 10% per month, we can write:

N(t) = 1000 x \(e^{rt}$\)

To find the predicted number of users in seven and a half months, we can substitute t = 7.5 into the equation and solve for N(7.5):

N(7.5) = 1000 x \(e^{rt}$\)

N(7.5) ≈ 2452.22

Therefore, we would expect to have approximately 2452 users on the new social network in seven and a half months if it continues to experience similar exponential growth.

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The complete question is :

What is the formula used in the spreadsheet model discussed in this module for measuring exponential growth of an epidemic, and how can it be adapted to predict the number of users of a new social network at a future date assuming similar exponential growth? In particular, if the new social network has 1000 users currently and is growing at a rate of 10% per month, how many users would we expect to have in seven and a half months?

Answer:

Slope = -2

Step-by-step explanation:

Slope = \(\frac{y^{2}-y^{1} }{x^{2} -x^{1} }\)

Slope = \(\frac{-4-0}{1-(-1)}=\frac{-4}{2}=-2\)

Answer:

Rs 4,399,008 for 8 years OMG

Step-by-step explanation:

Answer:

4399008

Step-by-step explanation

45823•8yrs*12month. 4399008

:

Answer:

661.50

Step-by-step explanation:

So, if you clock in at 8:15 and clock out at 12:15, you spent 4 hours at work during the morning

That's 44 dollars (11 * 4 = 44)

From 13:00 to 17:30 is 4.5 hours

That's 49.50 dollars (11 * 4.5 = 49.50)

49.50 + 45 = 94.50

That's how much you made in a day

For a week, multiply by 7

94.50 * 7 = 661.50 dollars

In quantitative research, data collection from the same respondents at 2 or more points (waves) in time is referring to "longitudinal."

A method for gathering and interpreting numerical data is known as quantitative research. It can be used to discover patterns and averages, to make predictions, to verify causal linkages, and to generalize results to larger groups.

Some features regarding quantitative research are-

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The simplification of the expression 4a + 3b - a + 3b + 6 is 3(a + 2b + 2)

Simplify 4a + 3b - a + 3b + 6

collect like terms

= 4a - a + 3b + 3b + 6

= 3a + 6b + 6

factorize

= 3(a + 2b + 2)

side a = 3x - 5

side b = 2x - 1

side c = x + 1

Perimeter = 31 cm

The perimeter of a triangle = side a + side b + side c

31 = (3x - 5) + (2x - 1) + (x + 1)

31 = 3x - 5 + 2x - 1 + x + 1

31 = 6x - 5

Add 5 to both sides

31 + 5 = 6x

36 = 6x

divide both sides by 6

x = 36/6

x = 6

Therefore, the value of x from the perimeter of the triangle is 6

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The value of angle S is 53°

Exterior angle theorem states that the measure of an exterior angle of a triangle is equal to the sum of two remote interior angles.

With this theorem we can say that

7x+2 = 4x+13+19

collecting like terms

7x -4x = 13+19-2

3x = 30

divide both sides by 3

x = 30/3

x = 10

Since x = 10

angle S = 4x+13

angle S = 4(10) +13

= 40+13

= 53°

Therefore the measure of angle S is 53°

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Answer:

here you go man tye final answer is 18 kg for Gabrielle and for Pierrepont is 48 kg

Answer:

5.3

Step-by-step explanation:

The maximum volume of the prism is 1728 cubic centimeters.

To find the dimensions of the prism with maximum volume, we need to consider the relationship between the volume of the prism and its dimensions.

Let's assume the base of the right triangular prism is an isosceles right triangle with legs of length 'a'. The height of the prism will be 'h'. The prism is inscribed in a hemisphere with a radius of 12 cm.

First, let's determine the relationship between 'a' and 'h'. Since the base of the prism is on the great circle of the hemisphere, the hypotenuse of the triangular base is equal to the diameter of the hemisphere, which is twice the radius. Therefore, the hypotenuse of the base is 2 * 12 = 24 cm.

By using the Pythagorean theorem, we can find 'a':

a^2 + a^2 = 24^2

2a^2 = 576

a^2 = 288

a = √288

Now, let's find the height 'h' of the prism. The height 'h' is equal to the radius of the hemisphere, which is 12 cm.

Therefore, the dimensions of the prism for maximum volume are:

Base length (a) = √288 cm

Height (h) = 12 cm

To find the maximum volume, we can use the formula for the volume of a right triangular prism:

Volume = (1/2) * a^2 * h

Substituting the values, we get:

Volume = (1/2) * (√288)^2 * 12

= (1/2) * 288 * 12

= 1728

Hence, the maximum volume of the prism is 1728 cubic centimeters.

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Lets answer the information by making it look like a budget subtraction:

60 = Total

1. Remove the delivery cost, so you can leave the rest of the budget for your pizzas.

60 - 7.50 = 52.50

2. Now, subtract the cost of pizzas multiple times until you reach it to where you dont have enough for another pizza.

52.50 - 14 = 38.50  Pizza 1

38.50 - 14 = 24.50  Pizza 2

24.50 - 14 = 10.50  Pizza 3

Now, theres not enough to buy another.

So, we know that Jacque can only afford 3 pizzas, but she need to calculate the number of slices.

3. Multiply the number of slices by the number of pizzas.

8 x 3 = 24

So, the largest number is 24 slices.

Answer:

60

Step-by-step explanation:

The derivative of the given expression using the chain rule is -e^(-t/τ) cos(ωt)/τ.

To find the derivative of the given expression using the chain rule, we need to apply the chain rule formula, which states that if y = f(u) and u = g(x), then:

dy/dx = dy/du * du/dx

In this case, we have:

y = e^(-t/τ) * sin(ωt)

u = -t/τ

f(u) = e^u

g(x) = -t/τ

Using the chain rule formula, we can find:

dy/dx = dy/du * du/dx

dy/du = d/dx(e^u) = e^u * du/dx

du/dx = -1/τ

Substituting these values, we get:

dy/dx = e^(-t/τ) * cos(ωt) * (-1/τ)

dy/dx = -e^(-t/τ) * cos(ωt)/τ

Therefore, the value obtained is -e^(-t/τ) * cos(ωt)/τ.

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The total erasing cost is 5.

The erasing cost refers to the cost associated with removing or eliminating something. In this case, the question states that the total erasing cost is 5. However, without further context or information, it is unclear what specifically is being erased and what the units of the cost are.

To provide a more detailed explanation, it would be helpful to have additional information about the context or problem at hand. Please provide more details or clarify the question so that I can assist you more effectively in determining the specific meaning and explanation behind the total erasing cost of 5.

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Answer:

b=11/10

Step-by-step explanation:

plug in 11 for "a" and solve for "b"

We have found all the required values for the given triangle.
b = sin B × 15.4 / sin 35°

c = √(237.16 + b² - 30.8b cos 110°)

B = sin⁻¹[(b)(sin 35°) / 15.4]

The given triangle can be solved by using the trigonometric ratios such as sine, cosine, and tangent. The given triangle is as follows:
Triangle with a = 15.4, A = 35°, and B = b
To solve the triangle, we need to find the remaining two sides b and c and the angle B. Let's first use the sine rule to find b.
sin B / b = sin A / a
sin B / b = sin 35° / 15.4
b = sin B × 15.4 / sin 35°
Now, we can use the cosine rule to find c.
c² = a² + b² - 2ab cos C
c² = (15.4)² + (b)² - 2(15.4)(b) cos 110°
c² = 237.16 + b² - 30.8b cos 110°
c = √(237.16 + b² - 30.8b cos 110°)
Now, to find angle B, we can use the sine rule again.
sinB / b = sin A / a
sin B / b = sin 35° / 15.4
sin B = (b)(sin 35°) / 15.4
B = sin⁻¹[(b)(sin 35°) / 15.4]
In order to solve the given triangle, we have made use of the sine and cosine rules of trigonometry. The sine rule is used to find the unknown sides of a triangle if the values of the angles and one side are known. On the other hand, the cosine rule is used to find the unknown sides and angles of a triangle if the values of two sides and one angle are known.
We have used the sine rule to find the value of side b. Once we have found the value of b, we can use the cosine rule to find the value of side c. After finding the values of all the sides, we can then use the sine rule to find the value of the angle B.
Thus, by making use of the sine and cosine rules, we can solve any given triangle if the values of its sides and angles are known.

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