yx = 2; use x= 7, and y=2 evaluate​

Answer:

y = 27.1

Step-by-step explanation:

We have the value of x:

x = 12

and we need to find the value of y in the expression:

y = x + 15.1

as we can see by the equation, the value of y depends on the value of x.

thus, we substitute x = 12 on the previous equation:

y = 12 + 15.1

y = 27.1

the value of y is 27.1

Answer:

3750

Step-by-step explanation:

Answer:

25,000 x 0.15 =3750

Step-by-step explanation:

When both countries produce at full employment, Country A should focus on producing computers, and Country B should focus on producing steel. This arrangement allows them to maximize their resources and benefit from trade.

Based on the given production alternatives for countries A and B, the correct statement regarding their production of computers and steel at full employment is:

"Country A has a comparative advantage in producing computers, while Country B has a comparative advantage in producing steel."

Here's a step-by-step explanation:

1. Calculate the opportunity cost for each country:
- Country A: To produce 1 computer, they give up 1 unit of steel (100 computers = 100 units of steel).
- Country B: To produce 1 computer, they give up 4 units of steel (20 computers = 80 units of steel).

2. Identify the comparative advantage:
- Country A has a lower opportunity cost for producing computers (1 unit of steel), so they have a comparative advantage in computer production.
- Country B has a higher opportunity cost for producing computers but a lower opportunity cost for producing steel, so they have a comparative advantage in steel production.

Thus, when both countries produce at full employment, Country A should focus on producing computers, and Country B should focus on producing steel. This arrangement allows them to maximize their resources and benefit from trade.

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Answer: The domain of the function is -1,3, and 5.

Step-by-step explanation:

How did I get this answer? well, the word domain means the value of all x values and the word Range means that it is the value of all y values. In this problem it is asking : What the domain is, so that means we have to figure out what the x values are not the y's. so the x values would be -1, 3 and 5.

The final answer is So, to compute the probability, we need to find P(Z > 0.2) and subtract it from 1.

The random variable of interest in this scenario is the total time taken to download all 90 files and complete the installation of the software package.

This random variable is continuous since it represents a time duration, which can take on any value within a range. To compute the probability that the installation takes more than 28 minutes, we first need to calculate the mean and standard deviation of the total download time.

The mean download time for one file is given as 18 seconds, so the mean download time for 90 files is (18 seconds/file) * 90 files = 1620 seconds.

The standard deviation of the download time for one file is 10 seconds. Since the files are downloaded independently, the standard deviation of the total download time for 90 files can be calculated using the formula for the standard deviation of the sum of independent random variables:

Standard deviation of the total download time = square root(90) * 10 seconds =\(30 * 10\) seconds = 300 seconds.

Now, to find the probability that the installation takes more than 28 minutes (which is equivalent to 28 minutes * 60 seconds = 1680 seconds), we need to standardize the value using the z-score formula:\(z = (x - μ) /\)∅

where x is the desired time (1680 seconds), μ is the mean download time (1620 seconds), and σ is the standard deviation (300 seconds).

z = \(\frac{(1680 - 1620) }{300}\)= \(\frac{60}{300}\)\(= 0.2\)

Using a standard normal distribution table or a calculator, we can find the probability associated with a z-score of 0.2. The probability that the installation takes more than 28 minutes is equal to 1 minus this probability, as we are interested in the probability of the installation taking more time.

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The values of a, h and k on the function are given as follows:

The meaning of the transformations is given as follows:

A translation happens when either a figure or a function is moved horizontally or vertically on the coordinate plane.

The four translation rules for functions are defined as follows:

The parent function in this problem is given as follows:

y = 1/x.

Hence the meaning of the transformations is given as follows:

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Answer:

12 meters

Step-by-step explanation:

We can solve this problem simply by dividing area by the known width value (because length x width = area):

96/8 = 12

Raw data can be calculated by using mathematical operations such as addition, subtraction, multiplication, and division.

This can be done manually or by using a calculator or a computer program .Additionally, statistical methods such as mean, median, mode, and standard deviation can be used to calculate raw data.Raw data can also be manipulated in various ways. For example, data can be sorted, filtered, and organized into categories or hierarchies. Data can also be visualized in graphs, charts, and diagrams to make patterns and trends easier to identify. Statistical methods such as correlation and regression can also be used to analyze and interpret raw data. Additionally, data can be combined with other data sets to create new insights and relationships. Finally, machine learning and predictive analytics can be used to make predictions about future outcomes based on existing data.

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Answer:

x= 4.3125

Step-by-step explanation:

Answer:

x=4+7i and x=4-7i

Step-by-step explanation:

Rewrite the given quadratic equation by completing the square.

x^2-8x=-65

x^2-8x+16=-65+16

x^2-8x+16=-49

(x-4)^2=-49

Now, solve the equation by applying the square root property and isolating x.

(x-4)^2=-49

√(x-4)^2 = √-49

x-4=+7i

x=4+7i

So, the solutions to the given quadratic equation are x+4+7i and x=4-7i.

There are 350 different lineups that can be created.

The question here is regarding the possibility of different lineups given that there are two groups of players available - guards and forwards/centers. The coach wants to choose 2 of her guards and 3 of her forwards/ centers. To avoid an unbalanced lineup, she places the names of her 5 guards in one hat and the names of her 7 forwards/centers in a second hat. Then, she will randomly select 2 guards from the first hat and 3 forwards/ centers from the second hat.

In order to get the different possibilities of lineups, we need to calculate the total number of ways we can select the guards and the forwards/centers separately.

Total number of ways to select guards =\(5C_2 = (5 \times 4) / (2 \times 1) = 10\)

Total number of ways to select forwards/centers = \(7C_3 = (7 \times 6 \times 5) / (3 \times 2 \times 1) = 35\)

Thus, the total number of ways the lineup can be created is 10 × 35 = 350.

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Answer:

\(\sf\longmapsto\sf\boxed {x = 1}\)

Step-by-step explanation:

\(\sf\longmapsto \: 2x + 10 = 12\)

\(\sf\longmapsto \: \: 2x + 10 - 10 = 12 - 10\)

\(\sf\longmapsto \: 2x = 2\)

\(\sf\longmapsto \: \frac{2x}{2} = \frac{2}{2} \)

\(\sf\longmapsto \: x = 1\)

Answer:

\(\boxed {\sf x=1}\)

Step-by-step explanation:

\(\sf 2x+10=12\)

\(\boxed{\mathrm{Subtract\:}10\mathrm{\:from\:both\:sides}}\)

\(\boxed{\mathrm{Divide\:both\:sides\:by\:}2}\)

\(\boxed{\sf Hope\: it\:helps!}\)

the system of equations that represents the situation is:

x + y = 50

2x + 5y = 145

A system of equations is a set of one or more equations that are to be solved simultaneously. The equations in a system share common variables, and the solution to the system is the set of values for those variables that make all the equations in the system true at the same time.

Let x be the number of multiple-choice questions, and y be the number of short answer questions.

The total number of questions is given as 50, so we can write the first equation as:

x + y = 50 ------------(1)

The total score of the exam is given as 145 points, so we can write the second equation as:

2x + 5y = 145 ------------(2)

Therefore, the system of equations that represents the situation is:

x + y = 50

2x + 5y = 145

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Answer:

Total surface area = 132 square feet

Step-by-step explanation:

Surface area of the triangular prism = Area of the triangular bases + Area of the lateral rectangular sides

Area of the triangular surface = \(\frac{1}{2}(\text{Base})(\text{Height})\)

                                                 = \(\frac{1}{2}\times 5\times 4\)

                                                 = 10 square feet

Area of the rectangular side with dimensions 5ft by 7ft,

Area = 5 × 7 = 35 square feet

Area of the rectangular side with dimensions 7ft by 4ft,

Area = 7 × 4 = 28 square feet

Area of the rectangular side with dimensions 7ft by 7ft,

Area = 7 × 7 = 49 square feet

Total surface area = 2(10) + 35 + 28 + 49

                               = 132 square feet

Answer:

Yes

Step-by-step explanation:

They would be perpendicular

I used the site, desmos to graph them.

Answer:

a) Point to the right: you need to add

Last option

b) Point to the left: you need to subtract or  add negative

First option

Colton receives a $1421.50 gross salary and a $973.48 net salary. His gross pay is take-home pay is 68.5 percent.

One of the busiest at-grade railroad crossings in the country, Colton Crossing is located in Colton. In order to cross the rails of the Southern Pacific Railroad while expanding northward from San Diego, the California Southern Railroad erected the bridge in 1882. Brown declare their union. The couple got engaged while on a weekend visit to Big Sur, California, according to Underwood, who revealed the news to PEOPLE towards the end of February 2022. Jordan C. Brown and Colton Underwood are now engaged, and I'm overjoyed! Colton Underwood and Cassie Randolph announced their separation in May 2020, little than two years into their relationship. In a conversation with Robin Roberts of Good Morning America a few months later, ABC's former Bachelor came out as gay.

1421.5 * 0.685 = 973.727. is the closest answer.

The others are too low. For instance 1421.5 * 0.46 =653.89.

Which is 46% of the net pay. So the answer is 68.5%

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A basic feasible solution to a linear program refers to a solution that satisfies all the constraints of the problem and lies on one of the extreme points of the feasible region.

To describe all descent directions from this point, we need to consider the gradient of the objective function. A descent direction is any direction along which the objective function decreases. Mathematically, the descent directions can be obtained by considering the null space of the constraint matrix.

The null space of the constraint matrix represents all the directions in which the constraints are satisfied. In other words, any linear combination of the vectors in the null space would not violate any of the constraints. Therefore, these vectors represent feasible descent directions.

However, not all descent directions are feasible descent directions. A feasible descent direction is one that not only decreases the objective function, but also satisfies all the constraints. The feasible descent directions can be obtained by intersecting the null space with the feasible region.

The simplex method, which is commonly used to solve linear programs, does not always move in a descent direction. In some cases, the simplex method may move in a direction that increases the objective function temporarily before eventually finding a better solution. This is because the simplex method explores different vertices of the feasible region in search of the optimal solution.

The descent directions from a basic feasible solution can be obtained by considering the null space of the constraint matrix. Feasible descent directions are those that not only decrease the objective function but also satisfy all the constraints. The simplex method does not always move in a descent direction as it may explore different vertices in search of the optimal solution.

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Answer:

x-1 and x+4. srry if i am wrong

Step-by-step explanation:

Answer:

(B) No

Step-by-step explanation:

If I remember correctly a solution is a point that is on the shaded area or on a solid line, the point 3,-3 is not on the shaded region and not on a solid line. Even if it was on the line in this problem it wouldn't be a solution because it is a dotted line. Hope this helps!

In order to know if a triangle is a right triangle on a coordinate plane, you can find the lengths of all three sides of the triangle using the distance formula and apply the Pythagorean theorem.

Find the lengths of the three sides of the triangle using the distance formula.

Once you have the lengths of the sides, check if any of the three sides satisfy the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In other words, if a² + b² = c², where c is the longest side, then the triangle is a right triangle.

If one of the sides satisfies the Pythagorean theorem, then the triangle is a right triangle.

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Solving a simple equation we will see that there were 96 students sampled.

We know that 7 out of every 8 children have a bike.

Then if we have a sample of N students, we can expect that the number of students with a bike will be:

N*(7/8)

And the number of students that do not have a bike is:

N*(1/8)

In this case, we know that the difference betwwen these numbers is 72, so we can write the equation:

N*(7/8) - N*(1/8) = 72

We can solve that for N.

N*(6/8) = 72

N = (8/6)*72 = 96

There are 96 students sampled.

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The transformation of the graph of f to obtain g is described as follows:

The graph of g is a vertical compression of the graph of f by a factor of 6 units.

The object must be dropped at a height of 1.66 feet from the moon so it hits the ground at the same time as on Earth,

The functions in the context of this problem are given as follows:

The multiplier that was applied to function f(t) to obtain function g(t) is given as follows:

-16x = -8/3

16x = 8/3.

x = 8/48

x = 1/6.

The leading coefficient was divided by 6, meaning that the graph of g is a vertical compression of the graph of f by a factor of 6 units.

The object hits the ground when the output of the quadratic function assumes a value of zero.

For the Earth, we have that the time to hit the ground is obtained as follows:

-16t² + 10 = 0

16t² = 10

t² = 5/8

\(t = \sqrt{\frac{5}{8}}\)

t = 0.79 seconds.

For the Moon, the function is given as follows:

g(t) = -8/3t² + h.

In which h is the initial height.

We want that g(t) = 0 when t = 0.79, hence the initial height is obtained as follows:

0 = -8/3(0.79)² + h

h = 8/3(0.79)²

h = 1.66 feet.

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Answer:

nic

Step-by-step explanation:

Answer:

a. Yes

B. 12

C. 7.5 cm

I think.............

Step-by-step explanation:

We are given that the longest length of the warehouse space is 40 meters, which will be the major axis of the ellipse. We are also given that the foci of the ellipse will be located 5 meters from the center of the warehouse space.

Let us denote the length of the minor axis of the ellipse as 2b. We can use the formula for the distance between the foci of an ellipse to find the value of b:

c = 5 (distance between foci and center)

a = 20 (half of the major axis)

b = ?

c^2 = a^2 - b^2

Substituting the values, we get:

5^2 = 20^2 - b^2

Simplifying, we get:

b^2 = 20^2 - 5^2

b^2 = 375

b = √375

b ≈ 19.4 meters

Therefore, the answer is (A) 19.4 m. The designer should build his whisper chamber 19.4 meters out from the center, along the minor axis.

Answer:

The independent variable is the variable that is manipulated or changed during an experiment. In this case, the independent variable is represented by the x-values of the given points.

So, the answer would be option A: {-2, 3, 1, 5}

Step-by-step explanation:

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Answer:

The approximate area, of the baseball diamond is 8192 ft²

Step-by-step explanation:

The given coordinates of the baseball diamond are;

(0, 64), (64, 0), (0, -64), and (-64, 0)

The length of one unit of the coordinate plane = 1 foot

Therefore, we note that, there are two points with x-coordinate = 0 at which the y-coordinates = 64 and -64

Similarly here are two points with y-coordinate = 0 at which the x-coordinates = 64 and -64

The length of the segment are therefore the vertices of a square as we have;

A(0, 64), B(64, 0), C(0, -64), and D(-64, 0)

∠DBA = ∠DCA = tan⁻¹(64/64) = tan⁻¹(1) = 45°

∠DBA + ∠DCA = ∠ABC = 90°

The shape of the diamond is a square

The length, l of the side of the square is given by the relation;

\(l = \sqrt{\left (y_{2}-y_{1} \right )^{2}+\left (x_{2}-x_{1} \right )^{2}}\)

When, (x₁, y₁) = (0, 64), (x₂, y₂) = (64, 0)

We have;

\(l = \sqrt{\left (0 -64 \right )^{2}+\left (64-0 \right )^{2}} = 64\cdot \sqrt{2}\)

The

The area, A, of the baseball diamond is therefore;

A = Area of a square = (Length of the side of a square)² = (64·√2)² = 8192 ft²

The area, of the baseball diamond = 8192 ft².