Solve for x -1/2x < -12

Answer:

it is six timessssssss 6

Answer:

8

Step-by-step explanation:

8(10-2)/2(10-6)

= (8*8)/(2*4)

= 64/8

= 8

Answer:

I dont under stand sorry :(

Step-by-step explanation:

Answer:

This would lead the student to the incorrect solution of x = 4 instead of the correct solution of x = 2.

Step-by-step explanation:

he equation 4x + 8 = 16 can be solved using algebra as follows:

Subtract 8 from both sides of the equation:

4x + 8 - 8 = 16 - 8

4x = 8

Divide both sides of the equation by 4:

4x/4 = 8/4

x = 2

Therefore, the correct solution to the equation is x = 2.

If the student incorrectly says the solution is 6, then they might have made the mistake of forgetting to subtract 8 from both sides of the equation before dividing by 4. This would result in the following incorrect work:

Divide both sides of the equation by 4:

4x/4 = 16/4

x = 4

Add 2 to both sides of the equation:

x + 2 = 4 + 2

x + 2 = 6

x = 6 - 2

This would lead the student to the incorrect solution of x = 4 instead of the correct solution of x = 2.

15^2 = x^2 + 11^2

225 = x^2 + 121

Subtract both sides 121

225 - 121 = x^2 + 121 - 121

104 = x^2

x = √104

x = √4 × 26

x = √4 × √26

x = 2 × √26

x = 2 √26

Answer: -(-3)2-(9(-3)-3(-4))

6+27-12

Step-by-step explanation:

Two negatives make a positive and a negative times a positive is negative

Answer:

x = 23

Step-by-step explanation:

Given

\(\frac{x-11}{2}\) - \(\frac{x-3}{5}\) = 2

Multiply through by 10 ( the LCM of 2 and 5 ) to clear the fractions

5(x - 11) - 2(x - 3) = 20 ← distribute and simplify left side )

5x - 55 - 2x + 6 = 20

3x + 49 = 20 ( add 49 to both sides )

3x = 69 ( divide both sides by 3 )

x = 23

The mean of the total repair time for the object is 150 minutes, and the variance is 455 minutes².

a) When X1, X2, and X3 are independent, the mean of the total repair time for the object is the sum of the individual means:

Mean(X1 + X2 + X3) = Mean(X1) + Mean(X2) + Mean(X3) = 50 + 60 + 40 = 150 minutes.

The variance of the total repair time for the object is the sum of the individual variances, assuming independence:

Var(X1 + X2 + X3) = Var(X1) + Var(X2) + Var(X3) = (15²) + (20²) + (10²) = 225 + 400 + 100 = 725 minutes^2.

b) To find the probability that the total repair time is less than 180 minutes, we need to calculate the cumulative distribution function (CDF) of the total repair time. Since X1, X2, and X3 are independent, the sum of normal random variables follows a normal distribution.

The mean and standard deviation of the total repair time are the same as in part (a): Mean = 150 minutes, Standard deviation = sqrt(725) minutes.

Using the properties of the normal distribution, we can calculate the probability as:

P(X1 + X2 + X3 < 180) = P(Z < (180 - 150) / sqrt(725)), where Z is a standard normal random variable.

Calculating the Z-score, we have Z = (180 - 150) / sqrt(725) ≈ 0.6325.

Looking up the corresponding value in the standard normal table or using a calculator, we find that P(Z < 0.6325) ≈ 0.7357.

Therefore, the probability that the total repair time is less than 180 minutes is approximately 0.7357 or 73.57%.

c) When X1, X2, and X3 are dependent, the mean and variance of the total repair time depend on the specific covariance values. The mean of the total repair time is still the sum of the individual means:

Mean(X1 + X2 + X3) = Mean(X1) + Mean(X2) + Mean(X3) = 50 + 60 + 40 = 150 minutes.

The variance of the total repair time is the sum of the individual variances plus the sum of the covariances:

Var(X1 + X2 + X3) = Var(X1) + Var(X2) + Var(X3) + 2(Cov(X1, X2) + Cov(X1, X3) + Cov(X2, X3)).

Using the given covariance values:

Var(X1 + X2 + X3) = (15²) + (20²) + (10²) + 2(-150 + 60 - 45) = 225 + 400 + 100 - 270 = 455 minutes².

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The position of the mass after t seconds is: x(t) = 1.41 * cos(1.77 * t) meters. We can calculate it in the following manner.

The force constant of the spring can be calculated using the formula:

F = -kx

Where F is the force applied, x is the displacement from the equilibrium position, and k is the force constant.

Rearranging the formula, we get:

k = -F/x

Substituting the given values, we get:

k = -10 N / 0.4 m = -25 N/m

The equation of motion for the mass attached to the spring is:

mx'' + kx = 0

Where m is the mass of the object, x'' is the second derivative of displacement with respect to time, and k is the force constant of the spring.

Substituting the given values, we get:

8x'' + (-25)x = 0

This is a second-order homogeneous differential equation with constant coefficients, and its general solution is:

x(t) = A cos(5t) + B sin(5t)

Where A and B are constants determined by the initial conditions.

To find A and B, we use the initial displacement and velocity:

x(0) = 0
x'(0) = 2.5 m/s

Substituting these values into the equation of motion, we get:

x(0) = A cos(0) + B sin(0) = 0
x'(0) = -5A sin(0) + 5B cos(0) = 2.5

From the first equation, we get:

B = 0

Substituting this into the second equation, we get:

A = 0.5

Therefore, the equation of motion for the mass attached to the spring is:

x(t) = 0.5 cos(5t)

The position of the mass after t seconds is given by this equation, so we can substitute any value of t to get the position:

x(t) = 0.5 cos(5t)

For example, after 1 second, the position of the mass is:

x(1) = 0.5 cos(5) = -0.354 meters (rounded to three decimal places)
To find the position of the mass after t seconds, we need to determine the spring constant (k) and the amplitude (A) of the oscillation.

1. Calculate the spring constant (k) using Hooke's Law:
F = k * x
10 N = k * 0.4 m
k = 25 N/m

2. Calculate the angular frequency (ω) using the mass (m) and spring constant (k):
ω = sqrt(k/m)
ω = sqrt(25 N/m / 8 kg)
ω = 1.77 rad/s

3. Calculate the amplitude (A) using the initial velocity (v₀) and angular frequency (ω):
v₀ = ω * A
2.5 m/s = 1.77 rad/s * A
A = 1.41 m

Now, we can find the position of the mass after t seconds using the equation for simple harmonic motion:
x(t) = A * cos(ω * t)

So, the position of the mass after t seconds is:
x(t) = 1.41 * cos(1.77 * t) meters

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The transformation f(x)—>f(1/3x) due to the graph of f(x), will be dilation horizontally and vertically.

What is Transformation of Function?

Transformation of functions refers to the graph's curve moving to the left, right, up, or down, expanding, contracting, or reflecting. Just dilation, out of these three transformations, alters the size of the original shape; the other two only adjust the position.

A translation happens when each point on a graph (which represents a function) travels in the same direction and by the same amount. There are two kinds of function translations.

Stretching or compressing is a dilation. The x-values on a graph are all scaled up by the same amount when a dilation that is parallel to the x-axis occurs. The y-values are all increased by the same scale factor if it is dilated parallel to the y-axis.

f(x) to become f(1/3x), Then it will go dilation "vertically and horizontally".

Referring to the graph mentioned below we can conclude the same.

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Answer: The temperature was 1 8/10º at the end of the day after Mother's Day

Step-by-step explanation:

5 8/10º-14 7/10º=-9 1/10º at the end of Mother’s Day

-9 1/10º+10 9/10º=1 8/10º at the end of the next day after Mother’s Day

Answer:

728 km / lit

Step-by-step explanation:

kilometers per liter = kilometers / liters

k/l = 484848 / 666

kilometers per liter = 728

Answer: The answer is 8 kilometers

Step-by-step explanation:

khanacademy

Answer:

2•2²×100+5.

Step-by-step explanation:

Answer:

bacteria and fungi

Step-by-step explanation:

Single organism makes an exact copy of itself

Bacteria, some plants and fungi, few animals (sponges)

Offspring are identical to parent

Answer: D.

Step-by-step explanation:

You can start out with the form AX = B and solve for matrix X that would yield the answer

Then X = (A^-1)(B)

A = [1    -1]

      [1     1]

A^-1 = (1/(1 - (1)(-1)))*[1    1]

                             [-1   1]

which can be written as (1/2) * [1    1]

                                                  [-1   1]

B = [26]

     [6]

(A^-1)(B) = (1/2)*[1    1] [6]

                        [-1   1] [26]

= (1/2)*[32]

          [20]

= [16]

  [10]

5/6 r - 6s

please mark me the brainliest

d. Expected life in years of the depreciable asset. The acceptable way to express the useful life of a depreciable asset is in terms of the expected life in years.

The useful life refers to the period of time over which the asset is expected to contribute to the revenue-generating activities of a business.

While options a, b, and c may be relevant factors for certain specific assets (such as units produced, hours of productivity, or miles driven), they do not encompass the overall concept of useful life. Useful life is a broader measure that takes into account the anticipated duration of productive use, regardless of specific output or activity metrics.

Expressing the useful life in years provides a common standard for comparison and allows for consistency in depreciation calculations and financial reporting. It is a practical and widely accepted approach to estimating the lifespan of a depreciable asset.

It is worth noting that the estimated useful life in years may vary depending on the nature of the asset and industry practices. It is typically determined based on factors such as technological advancements, physical wear and tear, economic obsolescence, and the intended purpose of the asset.

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Answer:

7x^3-3x^2-3x

hope this helps!!:)

Step-by-step explanation:

(9.50 + 0.15 x 9.50) x Hours  and  (9.50 + 0.10 x 9.50) x Hours are the equation to and the total  cost estimate is $173.04.

Two or more expressions with an Equal sign is called as Equation.

For the first 8 hours: The flat rate is $9.50 per hour, so 15% of that rate is 0.15 x 9.50 = $1.43.

The cost for the first 8 hours is (9.50 + 1.43) x 8 = $96.64.

For the next 8 hours: The flat rate is still $9.50 per hour, so 10% of that rate is 0.10 x 9.50 = $0.95.

The cost for the next 8 hours is (9.50 + 0.95) x 8 = $76.40.

Total cost estimate = $96.64 + $76.40 = $173.04

We can also write the equations for the costs as follows:

For the first 8 hours: Cost = (9.50 + 0.15 x 9.50) x Hours = 1.15 x 9.50 x Hours

For the next 8 hours: Cost = (9.50 + 0.10 x 9.50) x Hours = 1.10 x 9.50 x Hours

Using these equations, we can calculate the cost for any number of hours up to 16.

Hence, (9.50 + 0.15 x 9.50) x Hours  and  (9.50 + 0.10 x 9.50) x Hours are the equation to and the total  cost estimate is $173.04.

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Answer:

(9.50 + 0.15 x 9.50) x Hours  and  (9.50 + 0.10 x 9.50) x Hours are the equation to and the total  cost estimate is $173.04.

Step-by-step explanation:

Answer:

cute ko hahahahahahahahahahahahahaha

Answer: 2.86%

Step-by-step explanation:

The formula for relative error is given by:

Relative error = (Measured value - Real value)/Real value × 100

Relative error = [(3.4 - 3.5)/3.5] × 100

= -1/3.5 × 100

= 1/35 × 100

= 2.86%

The backward finite difference operator and the average operator are related in that they both approximate derivatives of a function.

The backward finite difference operator is a numerical approximation technique used to estimate the derivative of a function at a specific point. It involves considering the difference between the function values at the current point and a preceding point. By dividing this difference by the step size between the two points, the backward finite difference operator provides an approximation of the derivative.

On the other hand, the average operator calculates the average value of a function over an interval. It involves dividing the integral of the function over the interval by the length of the interval. The result is a single value that represents the average behavior of the function over the given interval.

The connection between the backward finite difference operator and the average operator lies in their underlying principles. Both operators involve taking the difference or average of function values to approximate the behavior of the function. While the backward finite difference operator focuses on estimating the derivative at a single point, the average operator provides an overall summary of the function's behavior over an interval. Therefore, the backward finite difference operator can be seen as a specific case of the average operator, where the interval is reduced to a single point.

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Answer:

$22.05 (c)

Step-by-step explanation:

$1.47 * 15 gallons = $22.05

Answer:

C) 22.05

Step-by-step explanation:

The answer is 22.05 because if you multiply 1.47 by 15, it equals 22.05.

Hope this helped you, have a nice rest of the day!

Every polynomial function of odd degree with real coefficients will have at least one real root or zero.

This statement is known as the Fundamental Theorem of Algebra. It states that a polynomial of degree n, where n is a positive odd integer, will have at least one real root or zero.

The reason behind this is that when a polynomial of odd degree is graphed, it exhibits behavior where the graph crosses the x-axis at least once. This implies the existence of at least one real root.

For example, a polynomial function of degree 3 (cubic polynomial) with real coefficients will always have at least one real root. Similarly, a polynomial function of degree 5 (quintic polynomial) with real coefficients will also have at least one real root.

It's important to note that while a polynomial of odd degree is guaranteed to have at least one real root, it may also have additional complex roots.

The Fundamental Theorem of Algebra ensures the existence of at least one real root but does not specify the total number of roots.

In summary, every polynomial function of odd degree with real coefficients will have at least one real root or zero, as guaranteed by the Fundamental Theorem of Algebra.

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Answer:

Step-by-step explanation:

Domain ( x values ): { 2, 4, 6, 8 }

Range ( y values ): { -2, 2, -4 , 7, -8 }

The arrows show which number they go to.

So, 2 having two arrows means. There's a ( 2, -2 ) and a ( 2, 2 )

Answer

Distance = 4.1 km

Explanation

Let the distance between Jane's house from school be x

The distance can be calculated using pythagora's theorem

Therefore, the distance between Jane's house from school is 4.1 km

A sampling technique used when groups are defined by their geographical location is cluster sampling. Hence, option A is correct.

Sampling technique refers to the method of selecting or choosing members from the given set of population.

Under cluster sampling method, population is divided or splitted into groups. The key objective is to minimize the cost and time taken.

For example: If a NGO wants to study the rural communities, the state is divided into small groups also known as clusters. Instead of visiting and studying all the locations a random cluster will be choosen and studied. Minimizing time and cost involved. However, it contains more sampling error as it might not represent the entire population accurately.

Therefore, Option A is the correct answer.

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Answer:

Step-by-step explanation:

100% - 75% = 25% = 0.25

x² = 16² × 0.25 = 64

x = 8

Answer:

The factored form is,

\((4a^2+2a+1)(4a^2-2a-1)\)

Step-by-step explanation:

We have,

\(16a^4-4a^2-4a-1\\factoring,\\We\ can \ write \ 16a^4 \ as \ (4a^2)^2\\Also,\\then we have,\\(4a^2)^2-(4a^2+4a+1)\\Now, 4a^2 + 4a + 1 \ is \ a \ perfect \ square,\\4a^2 + 4a + 1 = (2a)^2 + 2(2a) + 1\\= (2a + 1)^2\\so, we \ have,\\(4a^2)^2 - (2a + 1)^2\\\)

Using the difference of square formula,

\(x^2 - y^2 = (x+y)(x-y)\\with,\\x = 4a^2,\\y = 2a+1,\\we \ get,\\(4a^2+2a+1)(4a^2-2a-1)\)

Which is the factored form,

The angular speed of the pulley is (3π/2) rad/sec. The linear speed of the chain is 33π cm/sec, considering a pulley radius of 22 cm and a rotational speed of 45 RPM.

To find the angular speed of the pulley in rad/sec, we need to convert the rotational speed from RPM (revolutions per minute) to rad/sec.

The conversion factor is 2π rad per 1 revolution and 60 seconds per 1 minute.

Angular speed (ω) = (45 RPM) * (2π rad/1 rev) * (1 min/60 sec)

Simplifying the units, we have:

Angular speed (ω) = (45 * 2π) / 60 rad/sec

ω = (3π/2) rad/sec

Therefore, the angular speed of the pulley is (3π/2) rad/sec.

To find the linear speed of the chain in cm/sec, we can use the formula:

Linear speed (v) = Radius (r) * Angular speed (ω)

Given that the radius of the pulley is 22 cm and the angular speed is (3π/2) rad/sec, we can calculate:

Linear speed (v) = (22 cm) * (3π/2) rad/sec

v = 33π cm/sec

Hence, the linear speed of the chain is 33π cm/sec.

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