Solve. x−(−2 3/8)=−1/4 What is the solution to the equation? Enter your answer as a simplified mixed number in the box.

Therefore, the equation of the plane through the point (3, 1, -5) and parallel to the plane 6x + 7y + 2z = 10 is 6x + 7y + 2z - 15 = 0.

To find the equation of a plane through a given point and parallel to another plane, we can use the normal vector of the given plane.

The given plane has the equation 6x + 7y + 2z = 10. We can obtain the normal vector of this plane by taking the coefficients of x, y, and z, which gives us the normal vector N = (6, 7, 2).

Since the desired plane is parallel to the given plane, it will have the same normal vector N = (6, 7, 2). Now, we can use this normal vector and the given point (3, 1, -5) to write the equation of the plane.

The equation of the plane can be written as:

6(x - x1) + 7(y - y1) + 2(z - z1) = 0

Substituting the values x1 = 3, y1 = 1, z1 = -5, we have:

6(x - 3) + 7(y - 1) + 2(z + 5) = 0

Expanding and simplifying the equation, we get:

6x - 18 + 7y - 7 + 2z + 10 = 0

Combining the terms, we have:

6x + 7y + 2z - 15 = 0

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The range of the function g(x) is [300, ∞)

In this question, we have been given that we have deposited $300 into a savings account that earns interest annually.

The function g(x) = 300(1.04)^x used to find the amount of money in the savings account, g(x), after x years.

We need to find the range of the function.

Since a savings account earns interest annually, x can have take values from 0 to infinity.

For x = 0 year,

g(0) = 300(1.04)^0

g = 300 * 1

g = 300

For x tends to ∞, the value of function would be ∞

Therefore, the range of the function g(x) is [300, ∞)

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Answer:

Marissa.

Step-by-step explanation:

To find perpendicular slope you basically take the slope of the given line and reverse whatever sign it had previously. (If it was negative, it would become positive. If it was positive it would become negative.)

By doing -A/B it make the previous slope negative.

Brandon only flipped the fraction which would just result in the slope being slightly steeper, or in this case, less steep than the previous line, rather than making it perpendicular.

Hope this helps! Stay safe and if you have any questions feel free to ask!

The most effective teaching method is discussion groups. This is because discussion groups allow for more interaction and engagement between the employees and the material.

Additionally, discussion groups allow for employees to ask questions and receive clarification on the material, which can help them better understand and apply the safety principles.

This is calculated as,

programmed instruction booklets: 9, 10, 8, 9, 10

lectures: 7, 5, 9, 8, 6

television presentation: 10, 8, 9, 9, 7

discussion groups: 8, 9, 10, 8, 9

However, if we assume that the higher the test score, the more effective the teaching method, then it appears that the television presentation and the discussion group methods were the most effective.

The most effective teaching method is discussion groups.

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Answer: linear combo of terms involving x & y, with respective numbers determining their contribution to the expression

Answer:

El saldo de la cuenta de  Ana María es de -$16.500 , es decir, Ana María debe al banco $16.500.

Step-by-step explanation:

Ana María tiene $ 30.000 en su cuenta vista y retira $ 18.000 para un pago. Para saber la cantidad de dinero que posee en su cuenta luego de retirar el dinero debes realizar la diferencia (resta) entre lo que tiene inicialmente y la cantidad que retira:

$30.000 - $18.000= $12.000

Ahora el Banco paga un cheque de $ 26.000 con cargo a la cuenta de Ana María, por lo que debe restarse la mencionada cantidad a la suma de dinero que Ana María posee luego del retiro de dinero [un cheque con cargo a la cuenta de una persona indica que para el titular de la misma significa una salida de fondos, y por tanto, una disminución de su saldo]:

$12.000 - $26.000= - $14.000

Finalmente le descuentan una comisión por mantenimiento de la cuenta equivalente a $ 2.500, por lo que se debe realizar la diferencia entre la cantidad calculada previamente y $2.500:

- $14.000 - $2.500= -$16.500

El saldo de la cuenta de  Ana María es de -$16.500 , es decir, Ana María debe al banco $16.500.

The value of x in the expression is x = - 14

Remember that an algebraic expression is an equation that contains one or more variables.  It is built up from constant algebraic numbers, variables, and the algebraic operations (addition, subtraction, multiplication, division and exponentiation by an exponent that is a rational number)

The given equation is

-1/2 x + 6 = 4x - 3

Collecting the like terms to have

- 1/2 x - 4x = -3 -6

(2x - 8)/ 4 = - 9

Cross and  multiply to have

2x -8 = -36

2x = -36 +8

2x = -28

Making x the subject of the relation we have

x = -28/2

Therefore the value of x = - 14

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according to the national institute on drug abuse, a u.s. government agency, 17.3% of 8th graders in 2010 had used marijuana at some point in their lives . Since all three conditions are satisfied, we can use the normal model to represent the distribution of sample proportions

Randomness: The sample must be selected randomly from the population. The problem states that the health department for the district uses anonymous random sampling, so the randomness condition is satisfied.

Independence: The sample size must be less than 10% of the population size. The problem does not give us the population size, but since the sample size is 80 and we are dealing with eighth-graders in a district, it is reasonable to assume that the population size is much larger than 800.

Success-Failure: The number of successes and failures in the sample must be at least 10. The number of eighth-graders in the sample who have used marijuana is 0.1 x 80 = 8. Both of these numbers are greater than 10, so the success-failure condition is also satisfied.

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Answer:

m= -4

Step-by-step explanation:

Slope is equal to the change in y over the change in x

, or rise over run.

m=change in ychange in x

The change in x

is equal to the difference in x-coordinates (also called run), and the change in y

is equal to the difference in y-coordinates (also called rise).

m=y2−y1x2−x1

Substitute in the values of x

and y

into the equation to find the slope.

m=3−(19)0−(−4)

Simplify =

m= -4

Answer:

(D) 24°

Step-by-step explanation:

(5x + 6)° + (3x)° + (142 - 4x)° = 180°

5x + 6 + 3x + 142 - 4x = 180

4x + 148 = 180

4x = 32

x° = 8°

m∠E = 3×8° = 24°

After cutting the four pieces of fencing for the dog run, there will be approximately 33.5 meters of fencing left on the roll.

The amount of fencing left on the roll, we need to determine the total length of the four pieces cut from the roll and subtract it from the initial length of the roll (50 meters).

The perimeter of the dog run can be calculated by summing the lengths of all four sides. For a rectangle with width 340 cm and length 1380 cm, the perimeter is given by 2 * (width + length), which equals 2 * (340 cm + 1380 cm) = 2 * 1720 cm = 3440 cm.

To convert the perimeter from centimeters to meters, we divide by 100: 3440 cm / 100 = 34.4 meters.

Therefore, the total length of the four pieces cut from the roll is approximately 34.4 meters. Subtracting this from the initial length of 50 meters gives us the remaining fencing on the roll: 50 meters - 34.4 meters = approximately 15.6 meters. Hence, approximately 33.5 meters of fencing will be left on the roll after cutting the four pieces.

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Answer:

13 storage boxes is the least

Step-by-step explanation:

What we know:

- We have 127 cd's

- We have boxes only able to hold 10

What we need to figure out:

- how many boxes at the least are we going to need

Step 1: Divide

Since we need to figure out how many times 10 goes into 127 we divide 127 by 10 so...

127/10 = 12 with a remainder of 7.

Step 2: Figure out the remainder

Since there are seven left over and you cannot put them in boxes already being used then we put them in a new box, not yet used. That would make it a total of 13 boxes needed at the least.

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Answer:

answer is c

Step-by-step explanation:

Answer: Total products = 108

Step-by-step explanation: Ratio of solid to liquid products is 3:4 and there are 36 solids, so:

\(\frac{3}{4} = \frac{Pl}{36}\)

\(Pl = \frac{36.3}{4}\)

Pl = 27

Ratio of solid to gas is 4:5:

\(\frac{4}{5}=\frac{36}{Pg}\)

\(Pg=\frac{36.5}{4}\)

Pg = 45

Total products is the sum of all products:

P = Ps + Pl + Pg

P = 36 + 27 + 45

P = 108

There are a total of 108 products.

Answer:

the answer is 7

Step-by-step explanation:

Answer:

sqrt(11) =x

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem

a^2 + b^2 =c^2 where a and b are the legs and c is the hypotenuse

x^2 + 5^2 = 6^2

x^2 +25 = 36

x^2 = 36-25

x^2 =11

Taking the square root of each side

sqrt(11) = sqrt(x^2)

sqrt(11) =x

Answer:

$20.64

Step-by-step explanation:

When you take 40% of 33, you are left with 19.8. You then translate the sales tax into 84 cents and add it to 19.8. That will give you $20.64 as the after tax price.

The solution of the given equation \(y=6x+20\) is \(x = \frac{y + 20}{6}\)

What is linear equation?

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation.

We have,

                        \(y = 6x + 20\)

Arrange the equation both sides so that all variable terms are on the left hand side.

                        \(6x - 20 = y\)

Add 20 to both sides of the equation.

                   \((6x - 20) + 20 = y + 20\)

                        \(6x = y + 20\)

Divide both sides by 6 we get,

                          \(\frac{6x}{6} = \frac{y + 20}{6}\)

                      ∴   \(x = \frac{y + 20}{6}\)

Hence, final solution is \(x = \frac{y + 20}{6}\) .

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Answer:yes it is a triangle

Step-by-step explanation:

let's assume this triangle's sides are a,b and c.

we know this equation: \(a+b > c > |a-b|\\c+b > a > |c-b|\\a+c > b > |a-c|\\a=6\\b=7\\c=9\\13 > 9 > 1--- > which is true\\16 > 6 > 2----- > which is true as well\\15 > 7 > 3------ > it is true,too\\all of this equations are true so, this is a triangle\)

Answer:

\( {10}^{2}\)

and 10 to the second power I think this is what you mean't

we would expect the result to be within 3 percentage points of the true population value 95 of those times.

sample of the population, we know that the result probably won’t exactly match the “true” result that we would get if we interviewed everyone in the population.

The margin of sampling error describes how close we can reasonably expect a survey result to fall relative to the true population value.

A margin of error of plus or minus 3 percentage points at the 95% confidence level means that if we fielded the same survey 100 times,

we would expect the result to be within 3 percentage points of the true population value 95 of those times.

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According to the question we have  the 99% UCB on the mean time of the race is 223.

The formula for finding the upper confidence bound (UCB) is UCB = Mean + (Zα/2)(σ/√n), where Mean is the sample mean, Zα/2 is the z-score for the desired level of confidence, σ is the population standard deviation (which is not given, so we'll use the sample standard deviation instead), and n is the sample size.

We are given the sample of times as follows:137, 143, 153, 162, 168, 176, 190, 192, 196, 203, 218, 223, 236, 243, 252, 269, 271, 276, 283, 287.

We'll need to calculate the sample mean and standard deviation before we can find the UCB. Using a calculator, we get: mean ≈ 207.65s ≈ 48.41 Next, we'll use a table or calculator to find the z-score for a 99% confidence interval, which is Zα/2 = 2.576.

Now we can plug in the values we know to get the UCB:UCB = mean + (Zα/2)(σ/√n)UCB ≈ 207.65 + (2.576)(48.41/√20)UCB ≈ 223.02 .Therefore, the 99% UCB on the mean time of the race is 223.

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Answer:

well not all would do it would be approx 856 people but I dont really know what u mean

i would assume 900, but you did not say what answer they gave, so i'm kinda confused by your question.

Answer:

x=4, y=6. (4, 6).

Step-by-step explanation:

11x-8y=-4

-4x+3y=2

----------------

4(11x-8y)=4(-4)

11(-4x+3y)=11(2)

-------------------------

44x-32y=-16

-44x+33y=22

-------------------

y=6

11x-8(6)=-4

11x-48=-4

11x=-4+48

11x=44

x=44/11

x=4

Answer:

2 000 000 \(cm^{2}\)

Step-by-step explanation:

100 \(km^{2}\) = 1 000 000 000 000 \(cm^{2}\)

the scale of 1:500000 means that 1 cm in the map represents 500000 cm in reality

So on the map this pond's area would be

\(\frac{1 000 000 000 000}{500000}\) = 2 000 000 \(cm^{2}\)

Answer:

Step-by-step explanation:

Given function:

Average rate of change in the interval s = 80 and s = 100:

Correct choice is B. 0.61

Answer: When you reflect a point across the x-axis the x-coordinate remains the same, but the y-coordinate is transformed into its opposite

Step-by-step explanation:

In the Histogram the horizontal line (dimension) represents the value of the selected collection plan element. The vertical line (dimension) represents the count or sum of occurrences of the primary collection element on the horizontal line.

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Answer:

111

Step-by-step explanation:

Answer:

111

Step-by-step explanation:

Therefore, the maximum displacement of the particle is 4 units, and it occurs at time t = 1.

To find the maximum displacement, we need to first determine the particle's velocity and acceleration.

The velocity of the particle is given by the derivative of its position function:

\(v(t) = y'(t) = 3t^2 - 12t + 9\)

The acceleration of the particle is given by the derivative of its velocity function: a(t) = v'(t) = 6t - 12

Now, to find the maximum displacement, we need to find the time at which the particle comes to rest.

This occurs when its velocity is zero:

\(3t^2 - 12t + 9 = 0\)

Simplifying this equation, we get:

\(t^2 - 4t + 3 = 0\)

This quadratic equation factors as:

(t - 1)(t - 3) = 0

So the particle comes to rest at t = 1 or t = 3.

Next, we need to determine whether the particle is at a maximum or minimum at each of these times.

To do this, we look at the sign of the acceleration:

When t = 1, a(1) = 6(1) - 12 = -6, which is negative.

Therefore, the particle is at a maximum at t = 1.

When t = 3, a(3) = 6(3) - 12 = 6, which is positive.

Therefore, the particle is at a minimum at t = 3.

Finally, we need to find the displacement of the particle at each of these times:

\(y(1) = 1^3 - 6(1)^2 + 9(1) = 4\)

\(y(3) = 3^3 - 6(3)^2 + 9(3) = 0.\)

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