Determine if the solution set for the system of equations shown is the empty set, contains one point or is infinite.

2x - y = 7

2y = 4x - 14

The dimensions of the rectangle are: b=9.65 cm and h=4.35 cm or b=4.35 cm and h= 9.65 cm.

There are different types of quadrilaterals, for example, square, rectangle, rhombus, trapezoid, and parallelogram.  Each type is defined accordingly to its length of sides and angles. For example, in a rectangle,  the opposite sides are equal and parallel and their interior angles are equal to 90°.

The area of a rectangle is equal to base x height (A=bh). The perimeter of a geometric figure is the sum of its sides. Thus, for a rectangle, the perimeter is 2b+2h.

System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.

The question gives:

Perimeter=28cm

Area= 42 cm²

If the perimeter is the sum of all sides of the rectangle, you have:

Perimeter= 2b+2h=28

If the area of the rectangle is 42cm², you have:

Area=bh=42 cm²

You can write a system of linear equations.

2b+2h=28 (1)

bh=42 (2)

From equation 2, you have  \(b=\frac{42}{h}\). Then, you can replace it in equation 1.

\(2*\frac{42}{h}+2h=28 \\ \\ 84+2h^2=28h\\ \\ 2h^2-28h+84=0 \; dividing\; by\; 2\\ \\ h^2-14h+42=0\)

Now, you should solve the quadratic equation.

\(h_{1,\:2}=\frac{-\left(-14\right)\pm \sqrt{\left(-14\right)^2-4\cdot \:1\cdot \:42}}{2\cdot \:1}\)

\(h_{1,\:2}=\frac{-\left(-14\right)\pm \:2\sqrt{7}}{2\cdot \:1}\)

\(h_1=\frac{-\left(-14\right)+2\sqrt{7}}{2\cdot \:1}=7+\sqrt{7}=9.65 cm\)

\(h_2=\frac{-\left(-14\right)-2\sqrt{7}}{2\cdot \:1}=7-\sqrt{7}=4.35cm\)

If h1=9.65 cm, then \(b_1=\frac{42}{9.65} =4.35 cm\), and if  h2=4.35 cm, then \(b_1=\frac{42}{4.35} =9.65 cm\).

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The total cost of Jamie's brunch with a 20% tip is $20.94.

To calculate the total cost of Jamie's brunch with a 20% tip, we need to add the tip amount to the

Total cost refers to the sum of all costs associated with a particular item or project, including direct costs (such as materials and labor) and indirect costs (such as overhead and administrative expenses). It is the complete expense incurred in producing or acquiring something, including all fixed and variable costs.

Tip amount = 20% of the bill amount

\(= 20/100 * $17.45\)

\(= $3.49\)

Total cost = Bill amount + Tip amount

\(= $17.45 + $3.49= $20.94\)

Therefore, the total cost of Jamie's brunch with a 20% tip is $20.94.

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The correct option is: a. mn vertices and m+n edges. To determine the number of vertices and edges in the graph K_m,n, you should consider that it is a bipartite graph. A bipartite graph is a graph in which the vertices can be divided into two disjoint sets, and every edge connects a vertex from one set to another.

In the graph K_m,n, there are m vertices in the first set and n vertices in the second set. So, the total number of vertices is m + n.
The graph K_m,n is a complete bipartite graph, meaning that every vertex in one set is connected to every vertex in the other set. Therefore, there are m * n edges in the graph K_m,n.
So, the correct option is: a. mn vertices and m+n edges

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Answer:

1/10

Step-by-step explanation:

we already know skler has done 3/10s we make Rileys into 4/10 4/10 minus 3/10 is 1/10

0.4-0.3=0.1

The person does about 1/10, 0.1, and 10% more.

Anna:

Because the principal amount deposited by Anna is compounded by 6% every year, the growth is exponential.

Answer: D. Brian and Kendra

The probability of getting the color yellow when spinning a spinner with three equal sections colored red, white, and blue is 0%. Therefore, the correct answer is d) 0%.

Since the spinner has three equal sections colored red, white, and blue, and there is no section labeled yellow, it is not possible to obtain the color yellow when spinning the spinner. Each section has an equal chance of being landed on, but none of them represent the color yellow. Therefore, the probability of getting the color yellow is 0%. It's important to note that probability represents the likelihood of an event occurring, and in this case, the event of landing on the color yellow is not possible given the given information about the spinner. Therefore, the probability is 0%.

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Answer:

x=0, 5 (-5±√15)/2

Step-by-step explanation:

see images for solution

Answer:

150°

Step-by-step explanation:

I assume the dodecagon is regular, and that you meant "regular" instead of "rectangular."

For any regular, convex polygon with n sides,

the measure of one interior angle is (n - 2)180°/n.

For a dodecagon, n = 12.

m = (12 - 2)(180°)/12

m = 150°

Out of the total population, 30% of Americans own guns while 90% of NRA members own guns. Only 5% of Americans are NRA members. The fraction of gun owners who are NRA members is 50%.

Let's say there are 100 Americans. According to the given data, 30% of Americans own guns which is 30 Americans. 5% of Americans are NRA members, which is 5 Americans. 90% of NRA members own guns, which is 4.5 Americans (90% of 5).

So, out of the 30 Americans who own guns, 4.5 are NRA members. The fraction of gun owners who are NRA members is:4.5/30 = 0.15 or 15/100 or 3/20In percentage, it is 15 × 100/100 = 15%.

Suppose 30% of Americans own guns while 90% of NRA members own guns. Only 5% of Americans are NRA members. The fraction of gun owners who are NRA members is 50% or 15/30.

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Answer:

Taylor will earn $27.60 after the raise.

Step-by-step explanation:

If you take $24.00 and multiply it by $1.15, your answer should be $27.60. Therefore, this is the answer to your question.

Hopefully this helps, did the best I could!

Eli gained 92 yards rushing, while Samuel gained 122 yards, totaling 214 yards between them during the football game.

Eli gained 92 yards rushing in the football game. Samuel gained 30 more yards than Eli. To find Samuel's total yards, we add the additional 30 yards to Eli's total. Therefore, Samuel gained a total of 92 + 30 = 122 yards.

To calculate the total number of yards gained by Eli and Samuel during the game, we sum their individual yardage. Eli gained 92 yards, and Samuel gained 122 yards, resulting in a combined total of 92 + 122 = 214 yards.

In summary, Eli gained 92 yards rushing, and Samuel gained 30 more yards than Eli, for a total of 122 yards. Together, they accumulated 214 yards during the football game.

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Answer:

y = 6

Step-by-step explanation:

4y + 2x = 8 → (1)

5y + 2x = 14 → (2)

subtracting (1) from (2) term by term will eliminate x

y + 0 = 6

y = 6

The measures of the corresponding inscribed angles, and then add those angles together to find the measure of angle L. Therefore, the measure of angle L is 64 degrees.

The Inscribed Angle Theorem states that the measure of an inscribed angle is half the measure of its intercepted arc. In other words, if we have an angle whose vertex is on the circumference of a circle, and whose sides intersect two points on the circumference, then the measure of the angle is half the measure of the arc between those two points.

In this problem, we are given the measures of two arcs, DR and SV, and we want to find the measure of angle L. We can start by using the Inscribed Angle Theorem to find the measures of the corresponding inscribed angles. Let's call these angles A and B, where A is the inscribed angle that intercepts arc DR, and B is the inscribed angle that intercepts arc SV.

Using the Inscribed Angle Theorem, we can find that m∠A=12m⌢DR=12(34∘)=17∘m∠B=12m⌢SV=12(94∘)=47∘

To find the measure of angle L, we simply add angles A and B together: m∠L=m∠A+m∠B=17∘+47∘=64∘

Therefore, the measure of angle L is 64 degrees.

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The charge per unit of electricity is #415

The formula for E in terms of N is E = 375 + 40N

Variation is a mathematical term that establishes the relationship between quantities and variables in an equation.

Analysis:

E = K + CN

where K and C are constants

When E = 3655, N = 82 and when E = 2055, N = 42

3655 = K + 82C ---------------1

2055 = K + 42C----------------2

subtract equation 2 from 1

40C = 1600

C = 40

substitute C in equation 1

3655 = K + 82(40)

3655 = K + 3280

K = 3655 - 3280 = 375

charge per unit is N = 1

E = 375 + 40(1) = #415

Formula for E in terms of N is E = 375 + 40N

In conclusion, the charge per unit of electricity is 415 and the equation connecting E and N is E = 375 + 40N

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There are 16 different validated tickets are needed if every punching machine in town creates 4 holes on a ticket

When a ticket is punched by a punching machine, it creates a hole in the ticket. In this case, each hole can either be punched or not punched, so there are 2 possibilities for each hole.

Since there are 4 holes on a ticket, the total number of possible combinations is calculated by multiplying the number of possibilities for each hole:

2 x 2 x 2 x 2 = 16

So, there are 16 possible combinations of holes on a ticket, which means that a fee evader would need 16 different validated tickets to cover all possible combinations. This assumes that each punching machine creates the same pattern of holes, which may not be the case in practice.

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Answer:

35

5x7=35

Can I be brainliest plzzz

Answer:

5*7=35 so the area is 35 sq in.

Step-by-step explanation:

Answer:

n = -7

Step-by-step explanation:

Add '-24' to each side of the equation.

24 + -24 + 6n = -18 + -24

Combine like terms: 24 + -24 = 0

0 + 6n = -18 + -24

6n = -18 + -24

Combine like terms: -18 + -24 = -42

6n = -42

Divide each side by '6'.

n = -7

Simplifying

n = -7

Answer:

4x-30>-10 is the answer

Answer:

it is b

Step-by-step explanation:

The volume of a copper solid that is 8.75 cm3 is equal to 0.534 in3. To convert from cubic centimeters (cm3) to cubic inches (in3), you need to divide the volume by 16.387. In this case, the calculation would look like this: 8.75 cm3 / 16.387 = 0.534 in3.

Cubic centimeters and cubic inches are two units of volume measurement that are often used in different fields. A cubic centimeter (cm3) is a metric unit of volume equal to a cube with sides that are one centimeter long. A cubic inch (in3) is a unit of volume in the imperial system that is equal to a cube with sides that are one inch long. To convert from one to the other, the above formula must be used.

Converting from cm3 to in3 can be useful in many different fields, including engineering, manufacturing, and construction. For example, if a product is designed to have a certain volume, knowing the volume in both cm3 and in3 can be important. This is because different parts of the world often use different units of measurement.

In conclusion, the volume of a copper solid that is 8.75 cm3 is equal to 0.534 in3. To convert from cubic centimeters to cubic inches, the volume must be divided by 16.387. This can be useful in many different fields, as different parts of the world often use different units of measurement.

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The aim when choosing the model parameters:

Find the parameters that minimize he squared distances, in the y direction, from each point up/down to the regression line

The correct option is (b)

This is incomplete question

Complete question is this:

With a linear regression, what is the aim when choosing the model parameters (aka the slope and coefficient(s))?

Choose the correct option:

Now, According to the question:

Hence, The aim when choosing the model parameters:

Find the parameters that minimize he squared distances, in the y direction, from each point up/down to the regression line

The correct option is (b).

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Acid-base reactions involve the transfer of protons between substances. Titration is a technique used to determine the concentration of an acid or base by reacting it with a known volume of a solution of the opposite type.

Titration is a commonly used technique in chemistry to determine the concentration of an acid or base in a solution. It involves adding a solution of known concentration, called the titrant, to the solution of the analyte (the substance whose concentration is being determined) until the reaction between the two is complete. The point at which the reaction is complete is known as the equivalence point.

By measuring the volume of the titrant required to reach the equivalence point, the concentration of the analyte can be calculated using stoichiometric principles. Titration is widely employed in various scientific fields, including analytical chemistry and biochemistry, to accurately determine the concentration of acids and bases in a sample.

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Answer:

No Possible Triangle

Step-by-step explanation:

Sine cannot be greater than 1

No Possible Triangles

Question 10 The optimal solution must occur at one of the vertices (or corner points) of the polygon.

Question 11 A vertex represents a point where two boundary lines intersect and form a corner of the region.

Question 10 The optimal value of the objective function in a linear programming problem exists at one of the corner points of the feasible region.

This is because the objective function is linear and the feasible region is a convex polygon, so the optimal solution

must occur at one of the vertices (or corner points) of the polygon.

For question 11, a vertex (or corner point) of a solution region is a point in the region that is the intersection of two

boundary lines.

This is because a vertex is defined as the point where two or more edges or lines meet, and in a solution region, the

edges or lines represent the constraints of the problem.

Therefore, a vertex represents a point where two boundary lines intersect and form a corner of the region.

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Answer:

total surface area  = 298.45105 m2

lateral surface area = 141.37155 m2

top surface area = 78.53975 m2

bottom surface area = 78.53975 m2

Step-by-step explanation:

Joanna will need approximately 298.3 square inches of frosting to cover the entire cake.

To calculate the amount of frosting Joanna will need for the entire cake, we first need to find the surface area of the cylindrical cake.

The formula for the surface area of a cylinder is given by:

Surface Area = 2πr² + 2πrh

Where r is the radius of the base and h is the height of the cylinder.

Given that the diameter of the cake is 10 inches, we can find the radius by dividing it by 2: r = 10/2 = 5 inches.

Plugging in the values, we have:

Surface Area = 2π(5)² + 2π(5)(4.5)

Simplifying the equation:

Surface Area = 2π(25) + 2π(22.5)

Surface Area = 50π + 45π

Surface Area = 95π

To find the actual numerical value, we can approximate π as 3.14:

Surface Area ≈ 95 * 3.14

Surface Area ≈ 298.3 square inches

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The approximate 95% confidence interval for the proportion of coworkers who have received this year's flu vaccine is (0.339, 0.501). Based on this information, it is true that 95% of the coworkers fall within the interval (0.339, 0.501), and we can be 95% confident that the proportion of coworkers who have received the vaccine is between 33.9% and 50.1%. However, it is false to say that there is a 95% chance that a randomly selected coworker has received the vaccine or that there is a 42% chance for a randomly selected coworker to have received the vaccine.

The approximate 95% confidence interval for the proportion of coworkers who have received this year's flu vaccine is (0.339, 0.501). Based on this information, we can determine which of the following statements are true:

a) 95% of the coworkers fall in the interval (0.339, 0.501).

This statement is true. The 95% confidence interval represents the range of values within which we can be 95% confident that the true proportion of coworkers who have received the flu vaccine lies. Therefore, we can say that 95% of the coworkers fall within the interval (0.339, 0.501).

b) We are 95% confident that the proportion of coworkers who have received this year's flu vaccine is between 33.9% and 50.1%.

This statement is true. The 95% confidence interval (0.339, 0.501) provides us with a range of values within which we can be 95% confident that the true proportion of coworkers who have received the flu vaccine lies. Therefore, we can say that we are 95% confident that the proportion of coworkers who have received the vaccine is between 33.9% and 50.1%.

c) There is a 95% chance that a randomly selected coworker has received the vaccine.

This statement is false. The 95% confidence interval does not represent a probability or chance for an individual coworker. It provides a range of values within which we can be 95% confident that the true proportion of coworkers who have received the flu vaccine lies. It does not give information about the likelihood of an individual coworker receiving the vaccine.

d) There is a 42% chance that a randomly selected coworker has received the vaccine.

This statement is false. The 42% represents the proportion of coworkers in the survey who have received the flu vaccine, but it does not represent the chance or probability for a randomly selected coworker to have received the vaccine. The 42% is a point estimate, not a probability.

e) We are 95% confident that between 33.9% and 50.1% of the samples will have a proportion near 42%.

This statement is false. The confidence interval (0.339, 0.501) does not directly provide information about the proportion of samples that will have a proportion near 42%. The confidence interval represents the range of values within which we can be 95% confident that the true proportion of coworkers who have received the flu vaccine lies, but it does not specifically address the proportion of samples near 42%.

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According to the model, it will take 0 days for 300 grams of Mercury 203 to completely decay.

The natural logarithm, often denoted as ln(x), is a mathematical function that represents the logarithm to the base e, where e is the mathematical constant approximately equal to 2.71828.

To find out how long it will take for 300 grams of Mercury 203 to decay, we can use the exponential decay model.

The general formula for exponential decay is given by:

A(t) = A₀ * e^(-rt),

where A(t) represents the amount of the substance at time t, A₀ is the initial amount, r is the decay rate, and e is the base of the natural logarithm.

In this case, we have the initial amount A₀ = 300 grams and the decay rate r = 0.01481 (1.481% written as a decimal).

We want to find the time t when the amount A(t) is equal to zero. Substituting these values into the formula, we have:

0 = 300 * e^(-0.01481t).

To solve for t, we can divide both sides of the equation by 300 and take the natural logarithm of both sides:

ln(0) = ln(e^(-0.01481t)),

0 = -0.01481t.

To isolate t, we divide both sides by -0.01481:

0 / -0.01481 = t,

t = 0.

Therefore, according to the model, it will take 0 days for 300 grams of Mercury 203 to completely decay.

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