i cant get this at all

The number of possible ways you can distribute the balls among the three boxes so that each box contains at least one ball = 21

Here we have 3 empty boxes.

Let us assume that a, b and c be these empty boxes.

and the total number of balls = 8

We need to distribute the balls among the three boxes so that each box contains at least one ball.

This means that a + b + c = 8

By allotting 1 ball to each box so that no box remains empty.

We get an equation a + b + c = 5

So, the possible number of ways to by allotting 1 ball to each box so that no box remains empty would be:

⁷C₂

Using combination formula:

⁷C₂

= 7! / 2!(7 - 2)!

= 21

Therefore,  the required number of ways = 21

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Answer:

6

Step-by-step explanation:

12 is the full length. point E marks 1/2 of the line. 12-6=6

if it's asking the length of d-e, then the answer is (6) because the entire length of line is twelve and in the top line e-f in 6 and 6-12=6

Generally, the NEC® permits a fuse to carry 80 percent of its rating when it supplies a load that is not operated continuously. The correct option is b.

According to the National Electrical Code (NEC), a fuse is generally permitted to carry up to 80% of its rating when supplying a load that is not operated continuously. This provision is based on safety considerations and is intended to prevent the fuse from tripping prematurely during temporary or intermittent overloads.

Allowing a fuse to carry up to 80% of its rating ensures that it can handle short-term surges in current without blowing. This is important because many electrical devices and appliances draw higher currents when they are first turned on or during certain operations. Allowing the fuse to handle these temporary overloads helps avoid unnecessary interruptions in power supply.

By limiting the fuse to 80% of its rating, the NEC provides a safety margin. This margin accounts for factors such as variations in load characteristics, ambient temperature, and other operating conditions that may affect the actual current flowing through the fuse.

In summary, the NEC permits a fuse to carry up to 80% of its rating for non-continuous loads to accommodate temporary overloads while maintaining safety and reliability in electrical systems. Hence, b is the correct option.

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To find the values of trigonometric functions, we can use the acronym SOHCAHTOA, which stands for:

Because we are only looking for sin A and cos A, we'll use SOH and CAH. Remember that the positions are relative to angle A. So side BC would be the opposite and side AC would be the adjacent sides.

The answer is the third option, sin A = 24/26, cos A = 10/26.

The points t will also be in between line segment sv.

A line section that can connect two places is referred to as a segment.

In other words, a line segment is just part of a big line that is straight and going unlimited in both directions.

The line is here! It extends endlessly in both directions and has no beginning or conclusion.

Given that,

Point k is in between of j and l

Since the length of the line segment sv is equal to jl and t is the midpoint of sv so jk will be equal to the st.

Hence "The points t will also be in between line segment sv".

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Answer: 1 4/5 feet

Step-by-step explanation:

Length of the strip of yellow paper = 9 feet.

Number of streamers that were cut = 5

Length of each streamer will then be:

= Length of the strip of yellow paper = 9 feet / Number of streamers that were cut

= 9 feet / 5

= 1 4/5 feet

Answer:

\(3^{6}\)

Step-by-step explanation:

Using the rule of exponents

\((a^{m}) ^{n}\) = \(a^{mn}\) , then

\((3^{-2}) ^{-3}\)

= \(3^{-2(-3)}\)

= \(3^{6}\)

Note that the attached graph represents the impression of the dilated triangles.

To do this, we make use of the following coordinates

A = (1, 0)

B = (5, 0)

C = (1, 6)

The lengths of the triangle are calculated using

D = √ [(x2-x1)² + (y2 - y1)²]

So, this yields:

AB = √[(1-5)² + (0-0²] = 4

BC = √[(1-5)² + (6-0²] = 7.2

AC = √[(1-1)² + (6-0²] = 5

Utilizing the scale factor of 2, we have the image of the dilation to be:

D = (2, 0)

E = (10, 0)

F = (2, 12)

Thus the lengths of these sides are

DE = 8

EF = 14.4

DF = 10

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Answer: -8/7

Step-by-step explanation: (-2)(4)/7

Answer:

d ≈ 14.8

Step-by-step explanation:

Distance Formula: \(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)

Simply plug in your coordinates into the formula:

\(d=\sqrt{(3-(-4))^2+(-7-6)^2}\)

\(d=\sqrt{(3+4)^2+(-13)^2}\)

\(d=\sqrt{(7)^2+169}\)

\(d=\sqrt{49+169}\)

\(d=\sqrt{218}\)

\(d = 14.7648\)

d ≈ 14.8

Using it's definition, the probabilities are given as follows:

The probability of an event in an experiment is calculated as the number of desired outcomes in the context of the experiment divided by the number of total outcomes in the context of the experiment.

The total number of bulbs in this problem is given as follows:

6 + 9 + 5 = 20.

Six of them are red, hence the probability of a red bulb is:

p = 6/20 = 0.3 = 30%.

Nine of them are blue, hence the probability of a blue bulb is:

p = 9/20 = 0.45 = 45%.

Five of them are green, hence the probability of a green bulb is:

p = 5/20 = 0.25 = 25%.

The probability of a red or blue bulb is:

p = 0.3 + 0.45 = 0.75.

The probability of a blue or green bulb is:

p = 0.45 + 0.25 = 0.6.

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The probability that the flower picked by the customer is not a rose is 0.75, or 75%. can be calculated by dividing the number of flowers that are not roses by the total number of flowers in the inventory.

In this case, the inventory has 2525 roses, and the total number of flowers in the inventory is the sum of the different types of flowers: 2525 + 1515 + 3030 + 2020 + 1010 = 10100.

To find the number of flowers that are not roses, we subtract the number of roses from the total number of flowers: 10100 - 2525 = 7575.

Therefore, the probability that the flower picked by the customer is not a rose is 7575/10100, which simplifies to 3/4 or 0.75.

So, the probability that the flower picked by the customer is not a rose is 0.75, or 75%.

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Answer:

Espero te sirva

Step-by-step explanation:

Suerte ******'**

You can use two important properties of log to find out the solution of the given equation.

The value of x that satisfies the given equation is 4

When you raise a number with an exponent, there comes a result.

Lets say you get

\(a^b = c\)

Then, you can write 'b' in terms of 'a' and 'c' using logarithm as follows

\(b= log_a(c)\) ,  here 'a' is called base of logarithm.

Some properties of logarithm are:

\(log_a(b) = log_a(c) \implies b = c\\\\\log_a(b) + log_a(c) = log_a(b \times c)\\\\log_a(b) - log_a(c) = log_a(\frac{b}{c})\\\\log_a(a) = 1\)  

(take special attention over that base "a" in all of the above property as you might mix them with other base logarithms which is not allowed)

We can use the fourth, property and then can use third and first property as follows:

\(log_2(6x-8) - log_2(8) = 1\\\\log_2(\frac{6x-8}{8}) = log_2(2)\\\\\dfrac{6x-8}{8} = 2\\\\6x-8 = 2 \times 8\\6x-8 = 16\\6x = 16 + 8\\6x = 24\\\\x = \dfrac{24}{6} = 4\\\\x= 4\)

Thus, the value of x for the given condition is obtained as 4.

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Answer:

is A

Step-by-step explanation:

I hope and this helps you

Thus, multiplication of decimal numbers by 10, 100, or 1000 involves shifting the decimal point to the right by one, two, or three places respectively.

Multiplication is one of the fundamental arithmetic operations, which involves adding a number to itself a certain number of times.

Multiplying a decimal number by 10, 100, or 1000 simply involves shifting the decimal point to the right by one, two, or three places respectively.

Let's take the example of 1.76 and multiply it by 10. We can write it as 1.76 x 10 = 17.6. Here, we moved the decimal point one place to the right to get the answer.

Similarly, if we multiply 1.76 by 100, we get 176, by moving the decimal point two places to the right. Finally, if we multiply 1.76 by 1000, we get 1760, by moving the decimal point three places to the right.

It is important to note that when we multiply a decimal number by 10, 100, or 1000, we are essentially multiplying the whole number part by that value and keeping the decimal part the same.

For example, in the case of 1.76 x 1000, we are multiplying the whole number part, which is 1, by 1000 and keeping the decimal part, which is .76, the same.

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Answer:55

Step-by-step explanation:

To answer this question, we need to take into account that the two ships continue sailing at the same rate and direction, and we can solve this using the unit rate concept, as follows:

If they continue sailing at this same rate, then, after two hours they will be:

They will have 2.56 miles more distance between them.

Then, they will be separated by a distance of:

In summary, we have that the answer is 5.76 miles.

Answer:

Lateral surface area means curved surface area

Total surface area means curved surface area + surface area of the bottom and top.

So i think its false

Step-by-step explanation:

There are 472 more buttons bought by Vance than beads.

For the stated question table is made.

So,

Total number of beads bought by Vance = Number of beads(2 packages of large beads) + Number of beads(1 package of medium beads).

= (2 × 96) + (1 × 64)

= 2 × (90 + 6) + 64

= (2 × 90) + (2 × 6) + 64

= 180 + 12 + 64

= 256 beads

Now,

Total number of buttons bought by Vance = Total number of buttons (2 packages of large buttons) + Number of buttons (2 packages of medium buttons)

= (2 × 56) + (2 × 38)

= 2 × (50 + 6) + 2 × (30 + 8)

= (2 × 50) + (2 × 6) + (2 × 30) + (2 × 8)

= 100 + 12 + 600 + 16

= 728 buttons

Thus,

Difference for the number of buttons and beads

= 728 – 256

= 472 beads

So,

Therefore, there are 472 more buttons bought by Vance than beads.

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Answer:

28x-16y+45.4

Step-by-step explanation:

Add up all the variables inside the bracket by first grouping like terms

Then, multiply through by 2 ✅✅

The vector field F(x, y, z) = eyzi + xzeyzj + xyeyzk is conservative, and a potential function f is f(x, y, z) = xeyzi + xy²ezj + xyzek + C

How to determine vector field?

To determine if a vector field is conservative, we need to check if its curl is zero. If the curl is zero, it implies that the vector field can be expressed as the gradient of a scalar function.

Taking the curl of F, we have:

curl(F) = (∂F₃/∂y - ∂F₂/∂z)i + (∂F₁/∂z - ∂F₃/∂x)j + (∂F₂/∂x - ∂F₁/∂y)k

Evaluating the partial derivatives, we get:

curl(F) = (z - z) i + (x - x) j + (y - y) k

= 0

Since the curl of F is zero, the vector field F is conservative. We can find a potential function f by integrating each component of F with respect to its respective variable:

f(x, y, z) = ∫eyzi dx = xeyzi + g₁(y, z)

∫xzeyzj dy = xy²ezj + g₂(x, z)

∫xyeyzk dz = xyzek + g₃(x, y)

Here, g₁, g₂, and g₃ are arbitrary functions of the remaining variables. Combining these results, we obtain the potential function:

f(x, y, z) = xeyzi + xy²ezj + xyzek + C

Where C is the constant of integration. Therefore, a potential function f exists for the given vector field F, and it is given by f(x, y, z) = xeyzi + xy²ezj + xyzek + C.

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This indicates that the value of V, calculated using the given values of M, P, and Q, is equal to 5.0.

To calculate V, we can use the formula V = (M/P) * Q. Plugging in the given values, we have V = ($6,000/$10) * (-2,400). Simplifying further, we get V = 600 * (-2,400) = -1,440,000. Therefore, V equals -1,440,000.

The formula to calculate V in this scenario is V = (M/P) * Q. In this formula, M represents the value of M, P represents the value of P, and Q represents the value of Q. By substituting the given values into the formula, we obtain V = ($6,000/$10) * (-2,400).

To calculate V, we divide the value of M ($6,000) by the value of P ($10), which yields 600. Then we multiply this result by the value of Q (-2,400), resulting in -1,440,000. Therefore, V is equal to -1,440,000.

It's important to note that the negative value of V indicates a decrease or loss in quantity or value. In this case, the negative value suggests a decrease in some metric represented by V. Without further context or information, it is not possible to determine the exact meaning or implications of this decrease.

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The atom's place on the table is determined solely by its number of protons

Since the atomic number is equal to the number of protons an element contains, hence we can conclude that the atom's place on the table is determined solely by its number of protons

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Answer:

number of protons

Step-by-step explanation:

Answer: b

Step-by-step explanation:

The total number of tasks Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed

The factor 'x' in the expression '90x - 20' represents the total number of tasks that Terrence completed in the game.

To understand why, let's break down the given information. It states that Shelly and Terrence completed a different number of tasks. Shelly earned 90 points on each task, so the total number of tasks she completed is not represented by 'x'.

On the other hand, Terrence's total points were 20 less than Shelly's total. This means that Terrence's total points can be calculated by subtracting 20 from Shelly's total points. Since Shelly earned 90 points on each task, her total points would be 90 multiplied by the number of tasks she completed.

So, the expression '90x - 20' represents Terrence's total points in the game, where 'x' represents the total number of tasks that Terrence completed. By substituting the value of 'x' with the number of tasks Terrence completed, we can calculate his total points.

Therefore, the correct answer is: The total number of tasks Terrence completed.

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Answer:

Step-by-step explanation:

The value of the given trigonometric function is 1.1547.

The main trigonometric ratios are: sinβ, cosβ and tg β. From these ratios, you can calculate other trigonometric ratios such as sec β, cossec β and cotg β.

These ratios help you find the angles and the sides of a rectangle triangle.

The question asks \(\frac{2 *sin(30)}{cos (30}\), for the angle 30° you have sin=1/2 and cos= \(\frac{\sqrt{3} }{2}\).

Thus,

\(\frac{2 *sin(30)}{cos (30}=\frac{2 *\frac{1}{2} }{\frac{\sqrt{3} }{2} }=\frac{1}{\frac{\sqrt{3} }{2} }= \frac{2}{\sqrt{3} } =\frac{2\sqrt{3} }{3}=1.1547\)

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The magnitude of the gravitational force exerted on the 5.9-kg rock and the 5.8 x 10^-4-kg pebble near the surface of the Earth is 57.9 N and 0.0579 N, respectively.

To calculate the gravitational force exerted on an object near the Earth's surface, we can use the formula: F = mg, where F is the gravitational force, m is the mass of the object, and g is the acceleration due to gravity. Near the surface of the Earth, the standard value for g is approximately 9.8 m/s^2.

For the rock with a mass of 5.9 kg, the gravitational force can be calculated as follows:

F_rock = (5.9 kg) * (9.8 m/s^2) = 57.9 N.

For the pebble with a mass of 5.8 x 10^-4 kg, the gravitational force can be calculated as follows:

F_pebble = (5.8 x 10^-4 kg) * (9.8 m/s^2) = 0.0579 N.

Therefore, the rock experiences a gravitational force of 57.9 N, while the pebble experiences a gravitational force of 0.0579 N.

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