Which expression is equivalent to 3square root x^5y?

Answer:

6b - 1

Step-by-step explanation:

5b + b = 6b

-9 + 8 = -1

It's called the distributive property, take it as two separate problems : )

The length of the given curve between t=0 and t=1 is approximately 13.573 units.

Now, let's move on to the given parametric curve: r ( t ) = ⟨ 6t , t² , 1/9t³ ⟩ , 0 ≤ t ≤ 1. To find the length of this curve, we need to use a formula that involves integrating the length of small line segments along the curve.

The formula we'll use is the arc length formula:

\(L = \int _a^b \sqrt{(dx/dt)^2 + (dy/dt)^2 + (dz/dt)^2 dt}\)

This formula calculates the length of a curve between two points a and b, by integrating the square root of the sum of the squares of the first derivatives of the x, y, and z coordinates with respect to the parameter t.

Using this formula, we can find the length of the given curve as follows:

\(L = \int _0^1 \sqrt{(6)^2 + (2t)^2 + (2/27t^4)^2 dt}\)

\(L = \int _0^1 \sqrt{(36 + 4t^2 + 4/729t^8) dt}\)

\(L = \int_0^1 \sqrt{(2916t^8 + 11664t^6 + 15552t^4 + 6912t^2 + 1296) / 729 dt}\)

This integral is not easy to evaluate directly, but we can simplify it by making a substitution. Let u = 6t² + 6/27t⁶. Then du/dt = 12t + 4/9t⁵, and we can write the integrand as:

\(= > \sqrt{(2916t^8 + 11664t^6 + 15552t^4 + 6912t^2 + 1296) / 729} \\ \\= \sqrt{(u^4 + 3u^2 + 1) / 18t^3}\)

Now we can express the integral in terms of u:

\(L = (1/9) \int _0^6 \sqrt{(u^4 + 3u^2 + 1) / u du}\)

This integral cannot be solved exactly, but we can approximate it numerically using a computer or a calculator. The result is approximately 13.573 units of length.

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Complete Question:

Find the length of the curve. r ( t ) = ⟨ 6t , t², 1/9t³ ⟩ , 0 ≤ t ≤ 1

Answer:

79 cm

Step-by-step explanation:

area = length x width

7505 = 95 x width

7505/95 = width

Answer:

Explanation:

Given the function, g(x) below:

We evaluate g(x) for x=1,2 and 3:

We see that whenever x increases by 1, the value of g(x) triples.

Answer:

$88

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Simple Interest Rate Formula: A = P(1 + rt)

Step-by-step explanation:

Step 1: Define

Identify

P = 80

r = 2% = 0.02

t = 5

Step 2: Find Interest

Answer: We want to find the acceleration needed to achieve a force of 25 Newtons.

The acceleration is:

a = 25N/m

By Newton's second law, we know that:

F = m*a

Force equals mass times acceleration.

So if we want to have a force of 25N, we replace F by 25N, so we get:

25N = m*a

Solving this for the acceleration, we get:

25N/m = a

Notice that we can't get the exact acceleration as we do not know the mass of the object, but we got a general formula where we can replace the mass of the object to get the exact acceleration.

Step-by-step explanation:

Answer:

Both of them would just stay how they are

Step-by-step explanation:

Unless the x and y have a value that you have shown it would just stay at the same standard so there is not answer also no answer would be added.

Answer:

1) x = 30

2) x = 11.6

Step-by-step explanation:

1) 2x = 4x - 60   (vertical angles are equal)

subtract 4x from each side of the equation:

-2x = - 60

divide both sides by -2:

x = 30

2) 7x + 16 + 3x + 48 = 180°   (supplementary angles add up to 180°)

combine like terms:

10x + 64 = 180

subtract 64 from both sides of the equation:

10x = 116

divide both sides by 10:

x = 11.6

Answer:tbh i think the answer H

Step-by-step explanation:

Answer:

26

Step-by-step explanation:

Perimeter= width+height+width+height

               = 5 + 8 + 5 + 8

               = 26 cm

Hope this helps!

Answer:

A coefficient is a number multiplied by a variable.

Answer:

its being multiplied by a variable when it is being multiplied by a letter

Step-by-step explanation:

a variable is a symbol, usually a letter, that represents a number

Ex.

x in 5x (5 times x)

The solution to the given system of equations using Cramer's rule is \(x_1 = -14\) and \(x_2 = -14\).

To solve the given system of equations using Cramer's rule, we need to find the values of the variables \(\(x_1\) and \(x_2\)\). The system of equations can be written as:

Equation 1: \(0.2x_1 - 0.15x_2 + x_2 = 1.4\)

Equation 2: \(x_1 + x_2 - 2x_2 = 0\)

Equation 3: \(2x_1 + x_2 + 5x_3 = 11.5\)

To apply Cramer's rule, we need to find the determinants of different matrices.

First, let's find the determinant of the coefficient matrix, \(D\):

\(\[D = \begin{vmatrix} 0.2 & -0.15 \\ 1 & -1 \end{vmatrix} = (0.2 \times -1) - (-0.15 \times 1) = -0.05 + 0.15 = 0.10\]\)

Next, we'll find the determinant of the \(x_1\) matrix, \(D_1\), by replacing the \(x_1\) column in the coefficient matrix with the constant terms:

\[D_1 = \begin{vmatrix} 1.4 & -0.15 \\ 0 & -1 \end{vmatrix} = (1.4 \times -1) - (-0.15 \times 0) = -1.4\]

Similarly, we'll find the determinant of the \(x_2\) matrix, \(D_2\):

\[D_2 = \begin{vmatrix} 0.2 & 1.4 \\ 1 & 0 \end{vmatrix} = (0.2 \times 0) - (1.4 \times 1) = -1.4\]

Now, let's calculate the values of \(x_1\) and \(x_2\) using Cramer's rule:

\[x_1 = \frac{D_1}{D} = \frac{-1.4}{0.10} = -14\]

\[x_2 = \frac{D_2}{D} = \frac{-1.4}{0.10} = -14\]

Therefore, the solution to the given system of equations using Cramer's rule is \(x_1 = -14\) and \(x_2 = -14\).

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Answer:

47.1 > .00105

Step-by-step explanation:

Given :

5.01×10-3 ? 0.00105

Now,

5.01×10-3 ? 0.00105

50.1-3?0.00105

47.1?0.00105

From the above equation, we can say that 47.1  is greater than 0.00105

Therefore, 47.1 > .00105

Answer:

About 55.9 degrees

Step-by-step explanation:

The cosine of an angle is equivalent to the length of the adjacent side divided by the length of the hypotenuse. Therefore:

\(\cos x= \dfrac{14}{25} \\\\x=\cos^{-1}\left( \dfrac{14}{25}\right) \approx 55.9\)

Hope this helps!

Answer:

<6 , <8 , <3 are congruent to <1

Step-by-step explanation:

<6 = <1 ( being opposite Angles of parallelogram )

<8 = <6 ( being corresponding angles)

<8 = <1

<3 = <8 ( being opposite angles of parallelogram)

<3 = <1

Hope it will help :)❤

Considering the box-plots, the means for the data-sets are given as follows:

Each shows the number of times each measure appears.

Hence, the mean of data-set A is given as follows:

mA = (3 + 4 x 3 + 5 x 2 + 6 x 2 + 7 x 3 + 8)/(1 + 3 + 2 + 2 + 3 + 1) = 5.5.

For data-set B, the mean is:

mB = (2 x 4 + 2 x 5 + 2 x 6)/(2 + 2 + 2) = 5.

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Answer:

AC = 18, EB = 5 Step-by-step explanation:In a rhombus, AE = CE, and DE = BE. However, AE or AC ≠ DE or BE.

CE = AE

    = 9

AC = CE + AE

    = 9 + 9

    = 18

DE = BE

    = 5

Answer:

Step-by-step explanation:

Answer: 4(2x-5)

Simplified: 8x-20

Answer:

8x-20

Step-by-step explanation:

Just simplify if this is the answer you're looking for next time be specific with the question

   .       ...........................................

          .........

                                 .

Answer:

lol bro I'm failing too. Maybe it's a

Anurag walks 2 km every day on his way back.

i. To find the distance Anurag walks every day on his way back, we need to calculate the distance covered by walking.

Given that Anurag takes an auto to travel 1/6 of the total distance and covers 4/5 of the remaining distance by bus, the remaining distance he has to walk can be found by subtracting the distance covered by the auto and bus from the total distance.

Total distance = 12 km

Distance covered by auto = 1/6 * 12 km = 2 km

Remaining distance = Total distance - Distance covered by auto = 12 km - 2 km = 10 km

Distance covered by bus = 4/5 * 10 km = 8 km

Distance walked = Remaining distance - Distance covered by bus = 10 km - 8 km = 2 km

Therefore, Anurag walks 2 km every day on his way back.

ii. If Anurag goes to the office 5 days in a week, the total distance he walks every week can be calculated by multiplying the distance walked every day by the number of days he goes to the office.

Distance walked every week = Distance walked every day * Number of days

Distance walked every week = 2 km/day * 5 days/week = 10 km/week

Therefore, Anurag walks 10 km every week.

iii. Anurag walks some distance daily because the office is not directly accessible by auto or bus. Walking the remaining distance is necessary to reach his destination. Walking provides physical exercise and can also be a convenient and cost-effective mode of transportation for shorter distances. It allows Anurag to maintain an active lifestyle and may have additional benefits such as reducing carbon emissions and contributing to his overall health and well-being.

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Answer:

$21,000

Step-by-step explanation:

Solve the following fraction problem and choose the correct alternative: Jaime buys a property for $ 84,000 and after one year sells it earning 1/4 of the purchase price. How much was the profit? *

The amount of profit is calculated as

1/4 of the purchase price

Purchase price = $84,000

= 1/4 of $84,000

= 1/4 × $84,000

= $21,000

Therefore, the amount of the profit = $21,000

Minimum sample size needed  such that mean of the sample is smaller than 35 and sum is 1280 is 37.

To find the minimum sample size, we need to determine the smallest number of elements in a sample that would produce an average less than 35.

To do this, we use the formula for the mean, which is the sum of the elements divided by the number of elements.

If we let x be the minimum sample size, then the sum of the elements in the sample must be smaller than 35x. Since the sum of the elements in the sample is known to be 1280, we can set up an inequality:

1280/x < 35

Solving for x, we get:

x > 1280 / 35 = 36.36

Since x must be a whole number, we round up to the next whole number, which is 37.

However, it's important to note that this is a theoretical minimum and there could be many sets of 37 elements whose sum is 1280 but whose average is less than 35.

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Complete question:

Given a sample having variable size given that sum of the sample is 1280 what is the minimum sample size needed such that mean of the sample is smaller than 35.

Answer: 21 1/8 kilogram

Step-by-step explanation:

From the question, we are informed that Chef bought 3 3/4 kilograms of apples 7 1/4 kilograms of pears and 10 1/8 kilograms of oranges. The total kilogram of fruits bought would be:

= 3 3/4 + 7 1/4 + 10 1/8

Note that the Lowest Common Multiple is 8.

= 3 6/8 + 7 2/8 + 10 1/8

= 20 9/8

= 21 1/8 kilogram

Field data aggregation is the process of summarizing, combining, and analyzing data that has been collected from various sources. The following are some of the common ways that field data is aggregated: Count of Failures: A count of how many times a failure has occurred within a given period of time,

such as a day or a week. Number of Failed Parts: The number of parts that have failed over a given period of time, such as a day or a week. Hours of Operation: The amount of time that a machine or system was operational during a given period of time, such as a day or a week. Maintenance Time: The amount of time that was spent maintaining a machine or system during a given period of time, such as a day or a week.

Mark for Follow-Up: An indication of which issues need to be addressed or followed up on to prevent future failures or improve performance. Field data aggregation is the process of summarizing, combining, and analyzing data that has been collected from various sources. The following are some of the common ways that field data is aggregated: Count of Failures: A count of how many times a failure has occurred within a given period of time,

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Answer:

Samuel get £ 26.1

Step-by-step explanation:

Data :

     Money = £ 87

     Ratio  = 3 : 7

Ratio 3 + 7 = 10

     87/10 = 8.7

Samuel has 3 ratio

  8.7 × 3  =26.1

Given the n™ term of a number sequence, the first three terms of the sequence are 0, 2 and 6

The sequence is given as:

n^2 - n​

To write down the first three terms of the sequence, we set n =1, 2 and 3

So, we have:

When n = 1

n^2 - n​ = 1^2 - 1

Evaluate

n^2 - n​ = 0

When n = 2

n^2 - n​ = 2^2 - 2

Evaluate

n^2 - n​ = 2

When n = 3

n^2 - n​ = 3^2 - 3

Evaluate

n^2 - n​ = 6

Hence, the first three terms of the sequence are 0, 2 and 6

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