Determine the x-, y-, and z-intercepts of the plane with vector equation 7- (-1,2,3) + s(-2,2,3) + f(-3,2,6) ste R. S

To find the values of z that make the product with the complex number 5-6i a real number, we need to consider the imaginary part of the product.

The product of z and 5-6i can be written as:

z * (5 - 6i)

Expanding this expression, we get:

5z - 6zi

For the product to be a real number, the imaginary part (-6zi) must be equal to zero. This means that the coefficient of the imaginary unit i, which is -6z, must be zero.

Setting -6z = 0, we find:

z = 0

So, one possible nonzero value of z is 0.

However, since we are looking for nonzero values of z, we need to find another value that satisfies the condition.

Let's consider the equation for the imaginary part:

-6z = 0

Dividing both sides of the equation by -6, we have:

z = 0/(-6)

z = 0

Again, we find z = 0, which is not a nonzero value.

Therefore, there are no other nonzero values of z that make the product with the complex number 5-6i a real number. The only value that satisfies the condition is z = 0.

Answer:

Step-by-step explanation:

-9

Answer:

It depends how you were taught. You could say it's 11 (eleven) or 2.

Answer:

I think 2 lol

Step-by-step explanation:

Answer:

k

Step-by-step explanation:

A suitable spacing for the steel ties would be 150 mm/m² in both the horizontal and vertical directions to reinforce the soil mass with a factor of safety of one.

To reinforce the soil mass, steel ties are used with a maximum allowable tensile force of 15 kN/m. We need to suggest suitable horizontal and vertical spacings of the ties for reinforcement, assuming a factor of safety of one.

First, let's consider the maximum lateral pressure behind the vertical soil mass, which is 100 kPa. To calculate the tensile force on the steel ties, we can use the equation:

Tensile force = Lateral pressure × Tie spacing

Since the maximum tensile force allowed is 15 kN/m, we can rearrange the equation to solve for the tie spacing:

Tie spacing = Tensile force / Lateral pressure

Substituting the given values, we get:

Tie spacing = 15 kN/m / 100 kPa

To convert kN/m to kN/m², we divide by the unit conversion factor of 1000:

Tie spacing = (15 kN/m / 100 kPa) / (1000 N/kN)

Simplifying the units, we have:

Tie spacing = 0.15 m/m² = 150 mm/m²

Therefore, a suitable spacing for the steel ties would be 150 mm/m² in both the horizontal and vertical directions to reinforce the soil mass with a factor of safety of one.

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Answer:

the answer is 1.33

Step-by-step explanation:

The number of 5 or fewer digits that are even or divisible by 5 and do not contain any repeated digits is 2500.

In a positional numeral system, a numerical digit is a single sign that can be used singly or in combination to represent numbers.

A digit is a part of a set that, when combined, makes up a numeration system.

For example 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 are digits.

The number of even digits 5 is 0,2,4,6,8.

Number of ways we can choose the first digit = 2,4,6,8 (0 cannot be taken in first)

Number of ways we can choose second, third, fourth, and fifth digits = 5

Number of ways or combinations,

4 × 5 × 5 × 5 × 5 = 2500

Hence "The number of 5 or fewer digits that are even or divisible by 5 and do not contain any repeated digits is 2500".

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Answer:

y= -2x +13

Step-by-step explanation:

Answer:

The rate of customers entering the store would be 3 minutes per customer.

Step-by-step explanation:

3 customers entered over the course of 9 minutes

We can simplify 3/9 to 1/3. That would mean 1 customer enters every 3 minutes.

Answer:

108

Step-by-step explanation:

To find the volume of a rectangular prisms just multiply its dimensions together then you should get a volume of 54 in² then divide by 1/2 to find out how many cubes will fit in the prism

Answer:

B.C.E.

just did it on edge 2021

Answer:

yes the other person is right its B.C.E

Step-by-step explanation:

This expression gives us a present value of approximately $1,376,500.

To calculate the present value of John Doe's winnings, we need to find the present value of each individual payment and then sum them up.

The formula to calculate the present value of an annuity is:

PV = C * (1 - (1 + r)^(-n)) / r

Where PV is the present value, C is the annual payment, r is the discount rate, and n is the number of periods.

In this case, John Doe will receive $100,000 each year for 30 years, and the discount rate is 6%. Plugging these values into the formula, we get:

PV = $100,000 * (1 - (1 + 0.06)^(-30)) / 0.06

Calculating this expression gives us a present value of approximately $1,376,500.

Therefore, the correct answer is:

c. $1,376,500.

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We can see that there are 11 students who do not have a dog or a cat. Therefore, the probability that a student chosen randomly from the class does not have a cat or a dog is 11/50 or 0.22.

The correct answer to the given question is option 4.

To calculate the probability that a student chosen randomly from the class does not have a cat or a dog, we need to add up the number of students who do not have a cat or a dog and divide that by the total number of students in the class.

Looking at the data table provided, we can see that there are 11 students who do not have a dog or a cat. Therefore, the probability that a student chosen randomly from the class does not have a cat or a dog is 11/50 or 0.22.

This means that out of every 100 students in the class, on average, 22 of them do not have a cat or a dog. It's important to note that this probability assumes that every student in the class has an equal chance of being chosen randomly. If there are any biases or patterns in the class that affect whether a student has a cat or a dog, the probability could be different.

Overall, this probability can be useful for understanding the overall pet ownership patterns in the class, and it may also be helpful for making decisions about how to accommodate pets in the classroom or school setting.

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Answer: Answer: I’m not big brain

Step-by-step explanation:

Step-by-step explanation:

68% of males in the town have a systolic blood pressure between 102 and 118.

We know that, the Empirical rule (or 68-95-99.7 rule) tell us that where most of the values lie in a normal distribution. Around 68% of values are within 1 standard deviation of the mean. Around 95%of values are within 2 standard deviations of the mean. Around 99.7% of values are within 3 standard deviation of the mean.

Given that mean (μ)= 110

and standard deviation (σ) = 8

We have to find percentage of males having systolic blood pressure between 102 and 118.

let's check for 68%,

68% are within 1 standard deviation = (μ-σ , μ+σ)

                                                            =(110-8 , 110+8)

                                                            =(102, 118)

Therefore 68% of males in the town have a systolic blood pressure between 102 and 118.

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Answer:

y=1/5x-1

Step-by-step explanation:

The values of the inverse functions are f-¹ (3) = -1 and f-¹ (8) = 7

From the question, we have the following parameters that can be used in our computation:

x   f(x)

-1   3

1     6

2    5

3    7

7   8

Using the above as a guide, we have the following:

f-¹ (x) means that we calculate the value of x from the table when y = x in the function notation

So, we have

f-¹ (3) = -1 and f-¹ (8) = 7

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Answer:

4760

Step-by-step explanation:

Simple interest= principal× time ×rate/100

=3500×4×9/100

= 1260

Amount that will be in the bank after 4years= 3500+1260

=4760

The graph of 3x-2y≤6 is the third graph, for 3x-2y<6 is the first graph, for 3x-2y>6 is the fourth graph and for 3x-2y≥6 is the second graph. The solution has been obtained using concept of linear inequality.

What is linear inequality?

A linear inequality is one that would produce a linear equation if the equals relation were used instead of the inequality. When multiplying or dividing both sides by a negative number in order to solve the inequality, the direction of the inequality is reversed. The entire set of solutions to an inequality is known as the solution set.

We are given for graphs, of which two graphs are dotted and two are simple straight line graphs.

The dotted graphs are drawn for the inequalities having < or >

Whereas the simple straight line graphs are drawn for the inequalities having ≤ or ≥.

Now, to notice the shaded pattern, we will see whether the equations are true for (0,0) or not

1. 3x-2y≤6

⇒ 0≤6

So, the equation is true for the point.

Hence, the third graph represents this equation.

2. 3x-2y<6

⇒ 0<6

So, the equation is true for the point.

Hence, the first graph represents this equation.

3. 3x-2y>6

⇒ 0>6

So, the equation is false for the point.

Hence, the fourth graph represents this equation.

4. 3x-2y≥6

⇒ 0≥6

So, the equation is false for the point.

Hence, the second graph represents this equation.

Hence, the graphs are matched with the inequalities.

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Since, there are multiple questions so, the question answered above is attached below.

The graph of the parametric equations x = -2cos(t) and y = -sin(t) within the range 0 ≤ t < 2π is an ellipse centered at the origin, with the major axis along the x-axis and a minor axis along the y-axis.

To sketch the graph of the parametric equations x = -2cos(t) and y = -sin(t), where 0 ≤ t < 2π, we need to plot the coordinates (x, y) for each value of t within the given range.

1. Start by choosing values of t within the given range, such as t = 0, π/4, π/2, π, 3π/4, and 2π.

2. Substitute each value of t into the equations to find the corresponding values of x and y. For example, when t = 0, x = -2cos(0) = -2 and y = -sin(0) = 0.

3. Plot the obtained coordinates (x, y) on a graph, using a coordinate system with the x-axis and y-axis. Repeat this step for each value of t.

4. Connect the plotted points with a smooth curve to obtain the graph of the parametric equations.

The graph will be an ellipse centered at the origin, with the major axis along the x-axis and a minor axis along the y-axis. It will have a vertical compression and a horizontal stretch due to the coefficients -2 and -1 in the equations.

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Answer:

Leroy paid 49.07 more than Cora.

Step-by-step explanation:

Let LeRoy's bill be x

Let Cora's bill be y

3*y - 8.59 = x        (1)

x + y = 68.29        (2)

Substitute the value of x in (1) into the value of x in (2)

3y - 8.59 + y = 68.29          Combine the ys

4y - 8.59 = 68.29                Add 8.59 to both sides

   + 8.59     8.59

4y = 76.88                           Divide by 4

4y/4 = 76.88/4

y = 19,22

x + y = 68.29                      Substitute 19.22 for y

x + 19.22 = 68.29               Subtract 19.22 from both sides

  - 19.22   -19.22

x =              49.07

Answer:

1/3

Step-by-step explanation:

As per the concept of direct variation, y = 80 when x = 5, then the direct variation equation shows the relationship between x and y will be y = 16x

Equation

Basically, the equation is a statement that two expressions, which include variables and/or numbers, are equal. And in essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

Given,

In a direct variation, y=80 when x=5.

Here we have to write a direct variation equation that shows the relationship between x and y.

Here we have given that,

The value of y = 80 when x = 5

Therefore, there are often two different sorts of variables in analytics.

And we have obtained that independent variables will have an impact on dependent variables.

Now, what occurs as a result of the independent variable is referred to as a dependent variable.

Here we have given equation x is the independent variable while y is the dependent variable.

So, it can be written as,

=> 80 = 16(5)

Therefore, the resulting equation is y = 16x

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The apothem is the perpendicular distance from the center of a regular polygon to any one of its sides.

A closed, two-dimensional, flat or planar structure with straight sides is referred to as a polygon. Its sides do not bend in any way. A polygon's sides are also referred to as its edges. A polygon's vertices (or corners) are the places where two sides converge. Polygons and polyhedrons are two names for geometric shapes having three or more sides. The names of a few polygons are listed below. In order to link and develop projects and blockchains that are compatible with Ethereum, Polygon (MATIC), a cryptocurrency and technological platform, was introduced. A polygon is a fully closed, two-dimensional (2D), flat form with straight sides (all the sides are joined up). They must have straight sides. Any number of sides can be found in polygons.

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We will find the area of the triangle as follows:

So, the area of the triangle is approximately 425.5 square units.

Answer:

7. 158

8. 90 degrees

9. right angle

10. acute

Step-by-step explanation:

lm.ao if it's easy then do it lol jk here's the answers:) hope this helps

The rule for mapping x to y based on the given data is y = 2x.

This linear function describes the relationship between the variables x and y, where y is twice the value of x.

The given set of points represents a mapping between two variables, x and y.

By observing the given data, we can infer the relationship between x and y.

From the given data, we can see that for every increment of 1 in x, there is a corresponding increment of 2 in y.

This implies that the relationship between x and y can be expressed using a linear function.

To find the rule for mapping, let's analyze the relationship between x and y.

If we subtract 1 from x, we get 0, and if we subtract 1 from y, we get 0. This suggests that the y-intercept of the linear function is 0.

Next, we can calculate the slope of the linear function by taking the difference in y-coordinates and dividing it by the difference in x-coordinates.

By examining the data, we can observe that for each increment of 1 in x, there is an increment of 2 in y.

Therefore, the slope of the linear function is 2.

Putting it all together, we can express the rule for mapping x to y as follows:

y = 2x

This means that for any given value of x, if we multiply it by 2, we will obtain the corresponding value of y.

For example, if x = 3, applying the rule gives us:

y = 2 \(\times\) 3 = 6

Thus, according to the given mapping, when x is 3, y will be 6.

Similarly, we can use the rule to find the corresponding values of y for other values of x.

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Answer:

y=-3x+6

Step-by-step explanation:

that might not be fully simplified, but that should be the equation