If QK Bisects ∠MQR, QN ⊥ LM and m∠MQK = 34º, find each missing measure

Answer:

133

Step-by-step explanation:

56/4=14 and 70/5=14. 14 x 9 = 126

30 mins is half of an hour which means you need to divide 14 by 2 which gives you 7.

126 + 7 = 133

133 parts the machine can make in 9 hours, 30 minutes.

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

A machine can make 56 parts in 4 hours.

56=4x

A machine can also make 70 parts in 5 hours.

70=5x

Now we need to write an equation that relates the number of parts

the machine can make and the time in hours.

14=x

Now, we need to find parts the machine can make in 9 hours, 30 minutes.

14 x 9 = 126

As 30 minutes is half an hour, so divide 14 by 2 we get 7

126 + 7 = 133

Hence 133 parts the machine can make in 9 hours, 30 minutes.

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Answer:

SOLUTION

First, we write the augmented matrix.

⎡

⎢

⎣

1

−

1

1

2

3

−

1

3

−

2

−

9

|

8

−

2

9

⎤

⎥

⎦

Next, we perform row operations to obtain row-echelon form.

−

2

R

1

+

R

2

=

R

2

→

⎡

⎢

⎣

1

−

1

1

0

5

−

3

3

−

2

−

9

|

8

−

18

9

⎤

⎥

⎦

−

3

R

1

+

R

3

=

R

3

→

⎡

⎢

⎣

1

−

1

1

0

5

−

3

0

1

−

12

|

8

−

18

−

15

⎤

⎥

⎦

The easiest way to obtain a 1 in row 2 of column 1 is to interchange \displaystyle {R}_{2}R

​2

​​  and \displaystyle {R}_{3}R

​3

​​ .

Interchange

R

2

and

R

3

→

⎡

⎢

⎣

1

−

1

1

8

0

1

−

12

−

15

0

5

−

3

−

18

⎤

⎥

⎦

Then

−

5

R

2

+

R

3

=

R

3

→

⎡

⎢

⎣

1

−

1

1

0

1

−

12

0

0

57

|

8

−

15

57

⎤

⎥

⎦

−

1

57

R

3

=

R

3

→

⎡

⎢

⎣

1

−

1

1

0

1

−

12

0

0

1

|

8

−

15

1

⎤

⎥

⎦

The last matrix represents the equivalent system.

x

−

y

+

z

=

8

y

−

12

z

=

−

15

z

=

1

Using back-substitution, we obtain the solution as \displaystyle \left(4,-3,1\right)(4,−3,1).

Step-by-step explanation:

 To find numbers x and y that satisfy the equation 3x + y = 12 such that the product of x and y is as large as possible, we can use the concept of optimization. The maximum product occurs when x and y are equal, resulting in a balanced distribution of values. In this case, x = y = 4 is the solution.

We can solve the given equation 3x + y = 12 for y in terms of x by subtracting 3x from both sides: y = 12 - 3x. Now, we want to maximize the product of x and y, which is given by P = xy.
By substituting y = 12 - 3x into the expression for P, we get P = x(12 - 3x) = 12x - 3x^2. To find the maximum value of P, we can take the derivative with respect to x and set it equal to zero: dP/dx = 12 - 6x = 0.
Solving this equation gives x = 2, and substituting this back into the equation 3x + y = 12 gives y = 6. Thus, the numbers x and y satisfying the equation and maximizing the product xy are x = y = 4.
Therefore, when x and y are both equal to 4, the product of x and y is maximized, resulting in the largest possible value.

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Answer: The area of the shaded face is 200.

Step-by-step explanation: All of the sides of the 2 squares have side lengths of 10. Multiply 10 and 10. Then, do that on the other sqaure. Lastly, you add the area of those 2 sqaures.

Answer:

Resultados están más abajo.

Step-by-step explanation:

Dada la siguiente información:

Costo total= $1,956

Para calculate el valor parcial, debemos usar la siguiente información:

Precio proporcional= costo total* ( 1 - porcentaje de descuento)

50%:

Precio proporcional= 1,956*(1 - 0.5)

Precio proporcional= $978

25%:

Precio proporcional= 1,956*(1 - 0.75)

Precio proporcional= $489

300000 yen is approximately equal to 2233.38 USD  ( rounded to two decimal places )

The conversion factor to convert yen to USD is 0.0074

1 yen = 0.0074 USD

The conversion is the process of changing the unit of one quantity to another units  

The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing

The currency in USD = The currency in yen × conversion factor

Substitute the values in the equation

1 yen = 0.0074 USD

300000 =  300000 × 0.0074

Multiply the numbers

= 2233.38 USD ( rounded to two decimal places )

Therefore, 300000 yen is 2233.38 USD

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a. The z-score for a blood pressure reading of 140 is 1.22.

b. The proportion of the population suffering from high blood pressure (reading above 140) is 0.1112.

c. The proportion of the population with systolic blood pressure in the range from 104 to 140 is 0.7185.

To solve the problem, we need to use the standard normal distribution since we know the mean and standard deviation of the population.

a. The z-score for a blood pressure reading of 140 is calculated as:

z = (140 - 118) / 18 = 1.22

Therefore, the z-score for a blood pressure reading of 140 is 1.22 (rounded to two decimal places).

b. To find the proportion of the population suffering from high blood pressure, we need to calculate the area under the standard normal distribution curve to the right of z = 1.22 (since we are interested in readings above 140). Using a standard normal distribution table or calculator, we find that the area to the right of 1.22 is 0.1112.

Therefore, the proportion of the population suffering from high blood pressure (reading above 140) is 0.1112.

c. To find the proportion of the population with systolic blood pressure in the range from 104 to 140, we need to calculate the area under the standard normal distribution curve between z = (104 - 118) / 18 = -0.78 and z = (140 - 118) / 18 = 1.22. Using a standard normal distribution table or calculator, we find that the area between -0.78 and 1.22 is 0.7185.

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The description refers to the diagnosis of brief psychotic disorder, which consists of abnormal behaviors identical to those in schizophrenia lasting for at least 1 month but fewer than 6 months.

Brief psychotic disorder is a psychiatric diagnosis characterized by the presence of psychotic symptoms, such as hallucinations, delusions, disorganized thinking, or grossly disorganized or catatonic behavior. These symptoms are similar to those seen in schizophrenia, but the key distinction is that brief psychotic disorder lasts for a shorter duration, specifically between 1 month and 6 months.

During this period, individuals with brief psychotic disorder may experience a sudden onset of symptoms that significantly impact their thoughts, emotions, and behavior. However, unlike schizophrenia, the duration of symptoms in brief psychotic disorder is limited, typically resolving within a few weeks to a few months.

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Therefore, in either partial derivatives, we have u = 0 or v = 0.

The given information implies that two vectors u and v satisfy:

u * v = 0, where * denotes the dot product between vectors.

u X v = 0, where X denotes the cross product between vectors.

From the first equation, we know that the angle between u and v is either 90 degrees or 270 degrees. That is, u and v are orthogonal (perpendicular) to each other.

From the second equation, we know that the magnitude of the cross product u X v is equal to the product of the magnitudes of u and v multiplied by the sine of the angle between them. Since u and v are orthogonal, the angle between them is either 90 degrees or 270 degrees, which means that the sine of the angle is either 1 or -1. Therefore, we have:

|u X v| = |u| * |v| * sin(θ)

= 0

Since the magnitudes of u and v are non-negative, it follows that sin(θ) must be zero. This can only happen if the angle between u and v is either 0 degrees (i.e., u and v are parallel) or 180 degrees (i.e., u and v are anti-parallel).

In the case where u and v are parallel, we have:

u * v = |u| * |v| * cos(θ)

= |u|²

= 0

This implies that |u| = 0, which means that u = 0.

In the case where u and v are anti-parallel, we have:

u * v = |u| * |v| * cos(θ)

= -|u|²

= 0

This again implies that |u| = 0, which means that u = 0.

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Answer:

40 percent

Step-by-step explanation:

Answer:

13/53

Step-by-step explanation:

Total number of m&m's = 53

Probability of choosing a brown candy = 7/53

Probability of choosing a green candy = 6/53

Probability of choosing a green or brown candy

= 7/53 + 6/53

=13/53

The distance from the center of a circle to its edge or any point on the boundary is the radius.

The radius is half of the length of the diameter.

The radius can be represented as d/2, where d is the diameter.

The diameter represents the line or length that divides the circle equally at the center, from one edge to the other.

Thus, we can state categorically that the radius is the length from the center of a circle to its boundary.

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The correct equations are 4x²+10x = 2x(2x+5) and 30x⁴−12x³ = 6x³(5x−2).

For the equation 4x²+10x = 2x(2x+5)

A common factor between 4 and 10 is 2x. if we should divide each number by 2x, we would be left with 2x and 5 and if we multiple 2x and 5 by 2x, we get the original equation.

To ascertain that 30x⁴−12x³ = 6x³(5x−2), we look for a common factor between bot numbers and that is 6x³. If we divide 30x⁴ by 6x³, we should be left with 5, and if we divide 12x³  by 6x³, we simply get 2. If we multiply these lowest form by 6x³ we get the original equation.

for 8x³ − 6x = 2x³(4−3x³), we can see that it does not add up. The common denominator for 8x³  and  6x is 2x. If we divide it, we are left with 4x² and 3 whereas we have just 4 in parenthesis.

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Answer:

Step-by-step explanation:Select any two random points on the graph of the line (preferably with integer coordinates).

Label them as A and B (in any order).

Calculate the "rise" from A to B. While going vertically from A to B, if we have to go

"up", then the rise is positive;

"down", then the rise is negative.

Calculate the "run" from A to B. While going horizontally from A to B, if we have to go

"right", then the run is positive;

"left", then the run is negative.

Now, use the formula: slope = rise/run.

1. Variable manufacturing overhead rate variance

The formula Actual Hours × (Actual Rate - Standard Rate) is used to calculate the variable manufacturing overhead rate variance. This variance measures the difference between the actual variable manufacturing overhead cost incurred and the standard variable manufacturing overhead cost that should have been incurred, based on the standard rate per hour.

Variable manufacturing overhead rate variance = Actual Hours × (Actual Rate - Standard Rate)

The variable manufacturing overhead rate variance provides insight into how efficiently a company is utilizing its variable manufacturing overhead resources in terms of the rate per hour. A positive variance indicates that the actual rate paid per hour for variable manufacturing overhead was higher than the standard rate, resulting in higher costs. On the other hand, a negative variance suggests that the actual rate paid per hour was lower than the standard rate, leading to cost savings.

By analyzing this variance, management can identify areas where the company may be overspending or underspending on variable manufacturing overhead and take corrective actions accordingly, such as renegotiating supplier contracts or optimizing resource allocation.

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An independent basic service set (IBSS) does not consist of any access points.

In an IBSS, devices such as laptops or smartphones connect with each other on a peer-to-peer basis, forming a temporary network. This type of network can be useful in situations where there is no existing infrastructure or when devices need to communicate with each other directly.

Since an IBSS does not involve any access points, it is not limited by the number of access points. Instead, the number of devices that can be part of an IBSS depends on the capabilities of the devices themselves and the network protocols being used.

To summarize, an IBSS does not consist of any access points. Instead, it is a network configuration where wireless devices communicate directly with each other. The number of devices that can be part of an IBSS depends on the capabilities of the devices and the network protocols being used.

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Answer:

Step-by-step explanation:

5 hours, 70 apples all together

Answer:

q2- p2

4*2-2*2

8-4

B.4

Step-by-step explanation:

The value of q² - p² is 12 for the given value of p and q.

A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Each function has a range, codomain, and domain.

Given, The value of p = 2 and q = 4

the value of q² - p² for the given value

=> q² - p² = 16 - 4

=>q² - p² = 12

therefore, For the specified values of p and q, the value of q2 - p2 is 12.

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The minimum requirements for a class i aluminum main lightning conductor are a strand size, 95 pounds/1,000 feet weight per length, and a cross-sectional area of 98,600 circular mils.

These requirements are set by industry standards and regulations to ensure the safety and effectiveness of the lightning protection system. The strand size refers to the diameter of the individual wires that make up the conductor, which must meet a minimum size to withstand the forces of a lightning strike. The weight per length is a measure of the conductor's strength and durability, with a higher weight indicating a more robust design. Finally, the cross-sectional area is the total area of the conductor's circular shape, which impacts its ability to conduct electrical current and dissipate the energy from a lightning strike.

Overall, meeting these minimum requirements is essential for ensuring that a lightning protection system is capable of effectively capturing and directing the energy from a lightning strike to the ground, protecting the building and its occupants from potential harm.

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The linear inequalities are a ≤ 2j+3 , j≥14 ,a≤35 , Therefore Option C is the correct answer.

Inequality can be defined as a mathematical statement where the algebraic expression are equated by an inequality Operator , < , > ,<> etc.

It is given in the question that

Anna is no more than 3 years older than 2 times jamie’s age.

Let Anna's age be a and Jamie's age is j

then

a ≤ 2j+3

jamie is at least 14 and anna is at most 35

j≥14

a≤35

The linear inequalities are a ≤ 2j+3 , j≥14 ,a≤35

Therefore Option C is the correct answer.

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Answer:

b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

M is a factor of N and \((1+r)^t\), which is not influenced by N. This is because N is just the initial amount of people, and does not change no matter the rate of new members. Hope this helps!

Answer:

8.25 or 8 1/4

Step-by-step explanation:

4 1/8 converted to a decimal is 4.125, multiply that by 2 and you get 8.250 (take the zero off, because you don't need it) and if you need you can convert 8.25 back to a fraction, which is 8 1/4. Hope this helps! ;)

Given:

The variable cost per unit is $3, fixed costs are $2.

The revenue function is:

\(Y_{TR}=5\sqrt{q}\)

where q is the number of thousands of units of output produced.

To find:

The break - even points for company X.

Solution:

The variable cost per unit is $3, fixed costs are $2.

So, the cost function is:

Total cost = Fixed cost + Variable cost × Quantity

\(Y_{TC}=2+3q\)

The revenue function is:

\(Y_{TR}=5\sqrt{q}\)

At break - even points the profit is zero. It means the cost and revenue are equal.

\(Y_{TC}=Y_{TR}\)

\(2+3q=5\sqrt{q}\)

Squaring both sides, we get

\((2+3q)^2=(5\sqrt{q})^2\)

\(2^2+2(2)(3q)+(3q)^2=25q\)

\(4+12q+9q^2-25q=0\)

\(4-13q+9q^2=0\)

Splitting the middle term, we get

\(4-4q-9q+9q^2=0\)

\(4(1-q)-9q(1+q)=0\)

\((4-9q)(1-q)=0\)

Using zero product property, we get

\(4-9q=0\) and \(1-q=0\)

\(q=\dfrac{4}{9}\) and \(q=1\)

\(q\approx 0.444\) and \(q=1\)

Therefore, the break even points are 0.444 and 1.

A rectangle has an area of 126 square yards and a width of 7 yards. The length of the rectangle is 18 yards.

you have a rectangle with an area of 126 square yards and a width of 7 yards. To find the length of the rectangle, we need to use the formula for the area of a rectangle, which is A = l x w, where A is the area, l is the length, and w is the width.

In this case, we know that the area is 126 and the width is 7, so we can plug these values into the formula:

126 = l x 7

To solve for l, we need to isolate it on one side of the equation. We can do this by dividing both sides by 7:

126/7 = l

Simplifying the left side gives us:

18 = l

Therefore, the length of the rectangle is 18 yards.

In summary, if a rectangle has an area of 126 square yards and a width of 7 yards, then the length of the rectangle is 18 yards. This can be found by using the formula for the area of a rectangle, A = l x w, and solving for l.

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Note the full question is

A rectangle has an area of 126 square yards and a width of 7 yards. Find the length of the rectangle.

Answer:

The answer it probably is C.

Step-by-step explanation:

Just add 16+16+16= 48. Hope this helps

Answer:

The answer is C... 16 units.

Step-by-step explanation:

I had this question on my test and got it correct.

To verify the inequality without evaluating the integrals, we can use the properties of integrals.

First, we know that the integral of a positive function gives the area under the curve. Therefore, the integral of √(1-x^2) from -1 to 1 gives the area of a semicircle with radius 1. This area is equal to π/2, which is approximately 1.57.
Next, we can use the fact that the integral of a function over an interval is less than or equal to the product of the length of the interval and the maximum value of the function on that interval. Since the function √(1-x^2) is decreasing on the interval [-1,1], its maximum value is at x=-1, which is √2/2.
Using this property, we have:
∫1 -1 √(1-x^2) dx ≤ (1-(-1)) * √2/2 = √2
Finally, we can use a similar argument to show that the integral is greater than or equal to 2. Therefore, we have:
2 ≤ ∫1 -1 √(1-x^2) dx ≤ √2
To verify the inequality 2 ≤ ∫(1, -1) √(1 - x^2) dx ≤ 2√2 using properties of integrals, let's first establish that the integrand is non-negative on the interval [-1, 1]. Since 0 ≤ x^2 ≤ 1, we have 0 ≤ 1 - x^2 ≤ 1, so √(1 - x^2) is non-negative.
Now, consider the areas of two squares: one with side length 2 and the other with side length √2. The area of the first square is 2² = 4, and the area of the second square is (√2)² = 2. Since the integrand lies between 0 and 1, the area under the curve is less than the area of the first square but more than half of it (as it resembles half of the first square).
Therefore, 2 ≤ ∫(1, -1) √(1 - x^2) dx ≤ 2√2, as the area under the curve is between half of the first square's area and the second square's area.

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Answer: the total number of milk chocolate is 6

Step-by-step explanation:

Answer:

x² + 7x + 10 = 0

Subtract 10 from both sides

x² + 7x = -10

Use half the x coefficent (7/2) as the complete the square term

(x + 7/2)² = -10 + (7/2)²

   note: the number added to "complete the square" is (7/2)² = 49/4

(x + 7/2)² = -10 + 49/4

(x + 7/2)² = 9/4

Take the square root of both sides

x + 7/2 = ±3/2

Subtract 7/2 from both sides

x = -7/2 ± 3/2

x = {-5, -2}

Given:

Suzy ran 1/2 of a lap in 2/3 minutes.

The unit rate in minutes per lap is,

Answer: 4/3 minute per lap.