Circle P is shown. Line segment P Q is a radius. Line segment Q R is a tangent that intersects the circle at point Q. A line is drawn from point R to point P and goes through a point on the circle. Angle Q P R is 53 degrees.
What is the measure of angle R?

Answer:

D m =  \(-\frac{3}{8}\)

Step-by-step explanation:

factor the expressions in the denominator and the numerator to simplify the expression:

=> \(\frac{2(-2m + 1)(2m - 1)}{2(2m - 1)(8m + 3)}\)

=> \(-\frac{2m + 1}{8m + 3}\)

to make a fraction undefined, the numerator should be 0, thus, we substitute the values of m from the options into the denominator to make the denominator equals to 0:

=> \(-\frac{2m + 1}{8(-\frac{3}{8} ) + 3}\) = \(-\frac{2m + 1}{-3 + 3}\) = \(-\frac{2m + 1}{0}\)

in this case, the values of m from option D make the denominator of the fraction equals 0.

The quantity of purple marbles that Leslie has would be = 32 purple marbles.

The number of bags of marbles that Leslie has = 6 bags.

The quantity of marbles that is found in each bag = 16 marbles.

Therefore the total number of marbles = 6× 16 =96 marbles.

The fraction of purple marbles that Leslie has = 1/3 of 96

Therefore the total number of purple marbles the Leslie have = 1/3× 96 = 32

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Complete question:

Leslie has 6 bags of marbles. Each bag has 16 marbles. If ⅓ of the marbles are purple, how many purple marbles does Leslie have?

Answer:

When we say that an allele is "fixed," it means that a particular allele has reached a frequency of 100% in a population.

Step-by-step explanation:

Alleles are different forms of a gene that occupy the same position on homologous chromosomes. In a population, different alleles can exist for a specific gene. However, through various evolutionary processes such as natural selection, genetic drift, or gene flow, one allele may become predominant and eventually fixate within the population.

The fixation of an allele can occur through different mechanisms. For example, if a beneficial allele provides a selective advantage to individuals carrying it, it is more likely to increase in frequency and eventually become fixed in the population. On the other hand, genetic drift, which is the random change in allele frequencies due to chance events, can also lead to the fixation of an allele, especially in small populations.

Once an allele is fixed in a population, it means that all future generations will inherit that allele, and no alternative alleles will be present at that particular gene locus.

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Answer:

They are 12, 13, 14 and 15.

Step-by-step explanation:

If the least integer is x, then:

x + x + 1 + x + 2 + x + 3 = 54

4x + 6 = 54

4x = 48

x = 12.

Answer:

v=20π ft/s

Step-by-step explanation:

Given:

Distance from the security car to the movie theater, D=25 ft

Distance of the reflection from the car, d=30 ft

Speed of rotation of the strobe lights, 2 rev/s

To find the speed at which the reflection of the security strobe lights is moving along the wall of the movie theater, we need to calculate the linear velocity of the reflection when it is 30 ft from the car.

We can start by finding the angular velocity in radians per second. Since the strobe lights rotate at 2 revolutions per second, we can convert this to radians per second.

ω=2πf

=> ω=2π(2)

=> ω=4π rad/s

The distance between the security car and the reflection on the wall of the theater is...

r=30-25= 5 ft

The speed of reflection is given as (this is the linear velocity)...

v=ωr

Plug our know values into the equation.

v=ωr

=> v=(4π)(5)

∴ v=20π ft/s

Thus, the problem is solved.

The speed of the reflection of the security strobe lights along the wall of the movie theater is 2π ft/s.

To solve this problem, we can use the concept of related rates. Let's consider the following variables:

x: Distance between the security car and the movie theater wall

y: Distance between the reflection of the security strobe lights and the security car

θ: Angle between the line connecting the security car and the movie theater wall and the line connecting the security car and the reflection of the strobe lights

We are given:

x = 25 ft (constant)

y = 30 ft (changing)

θ = 2 revolutions per second (constant)

We need to find the speed at which the reflection of the security strobe lights is moving along the wall (dy/dt) when the reflection is 30 ft from the car.

Since we have a right triangle formed by the security car, the movie theater wall, and the reflection of the strobe lights, we can use the Pythagorean theorem:

x^2 + y^2 = z^2

Differentiating both sides of the equation with respect to time (t), we get:

2x(dx/dt) + 2y(dy/dt) = 2z(dz/dt)

Since x is constant, dx/dt = 0. Also, dz/dt is the rate at which the angle θ is changing, which is given as 2 revolutions per second.

Plugging in the known values, we have:

2(25)(0) + 2(30)(dy/dt) = 2(30)(2π)

Simplifying the equation, we find:

60(dy/dt) = 120π

Dividing both sides by 60, we get:

dy/dt = 2π ft/s

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The majority of the data is split to the right and left of the mean.

The data is mostly divided to the right and left of the mean. The normal distribution is symmetric and continuous. Positively skewed data will have a higher mean than the median. If the data distribution is tilted to the left, the mean is less than the median, which is frequently less than the mode. A probability function that defines how the values of a variable are distributed is known as the normal distribution. The mean, median, and mode values in a normal distribution are all equal. So, in the context of a normal distribution curve, point (ii) is valid.

Here,

The data is mostly divided to the right and left of the mean. The normal distribution is symmetric and continuous. Positively skewed data will have a higher mean than the median.

The data is mostly divided to the right and left of the mean.

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Answer:

x = -7

Step-by-step explanation:

f(x) = -3x + 2

= -3(3) + 2

= -9 + 2

= -7

Answer:

45 days

Step-by-step explanation:

Step 1:  Determine how long it will last

(9 cups) * (5 days / cup)

45 days

Answer: 45 days

The economic order quantity (EOQ) is a formula used in inventory management to determine the optimal order quantity that minimizes the total cost of inventory. The formula for EOQ is: EOQ = √((2 * Demand * Ordering Cost) / Holding Cost) In this case, the demand is 6,000 units per year, the ordering cost is $100, and the holding cost is $5 per unit.

Plugging in these values into the formula, we get:

EOQ = √((2 * 6000 * 100) / 5)

Simplifying the expression inside the square root:

EOQ = √(2 * 6000 * 100 / 5)

Calculating the numerator:

EOQ = √(1,200,000)

Taking the square root:

EOQ ≈ 1,095.45

Therefore, the economic order quantity (EOQ) is approximately 1,095 units.

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Answer:

Domain is how many units between the farthest point on x axis.

Step-by-step explanation:

I need to see the graph to give you the domain in Interval notation.

z-score of a company is 5.

What is z- test?

A z-test is a statistical test used to determine whether two population means are different when the variances are known and the sample size is large.

The annual salaries of all employees at a financial company are normally distributed with a mean of $34,000 and a standard deviation of $4,000.

Now, using z- score

z= (x-\(\mu\))/\(\sigma\)

z= 54000- 34000/ 4000

z= 20000/4000

z=5.

Hence, z-score of a company is 5.

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Answer:

5

Step-by-step explanation:

The answer above is correct.

Answer: B

Step-by-step explanation:

The probability of winning when playing regular defense is 42 over the total 50.  

42/50 = 0.84

The probabilty of also winning when playing Prevent defense is 35 over the total 50 also.

35/50 =  0.70  

0.84 is greater than 0.70 so your more likely to win playing regular defense.

B. P(win | regular) = 0.84

    P(win | prevent) = 0.70

    Conclusions : You are more likely to win by playing regular defence.

The ratio of favourable outcomes of an event and total outcomes of an event is called probability of that event.

The number of outcomes of winning by regular defence is 42 out of 50.

∴ P(win | regular) = 42/50 = 0.84

The number of outcomes of winning by prevent defence is 35 out of 50.

∴ P(win | prevent) = 35/50 = 0.70

Conclusion : You are more likely to win by playing regular defence.

Hence the option B is correct.

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Answer:

1:2

Step-by-step explanation:

When 5:10 is simplified by 5 which would be...

10/5=2 and 5/5=1

Which equals to 1:2

Answer

The equivalent ratios are 1:5 and 2:10.

Explanation

To get from 5 to 10 you multiply by 2.

Do the same thing to the 1.

1 times 2 is 2.

For every one boy there are 5 girls. For every 2 boys, there are 10 girls.

P.S. LOLOLOL you use Big Ideas on an iPad?

Answer:

b=sqrt7

Step-by-step explanation:

16=9+b^2

Answer:

potato paste recipe for the same recipe as it has made

Step-by-step explanation:

French fry

Answer:-5

Step-by-step explanation:

You need to distribute on both sides so u get

9c-15=20-2c

Move variable to left side and change the sign

-9c+2c-15=20

Move constant to right side and change the sign

-9c+2c=20+15

Connect like terms

-7c=35

Divide

C=-5

Answer:

salamat po sa

points.

pa

Step-by-step explanation:

branlest

answer

po

The correct option is C. The ordered pairs: {(–2, 4), (0, 0), (2, 4)}

An ordered pair in mathematics is a set of two things. The order of the objects in the pair matters because, unless a = b, the ordered pair differs from the ordered pair. Ordered pairs are also known as 2-tuples or 2-length sequences.

It's important to remember that, the first the showed in the image represents a domain, and the second set represents a range. That means the values -2, 0, 2, must appear as the first value in the coordinate, and the values 4 and 0, must appear second.

Now, if we associate the given diagram with coordinates, it would be like

Therefore, the right answer is choice c.

Additionally, this relation models a quadratic function actually, because -2 and 2 have the same image 4.

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The simplification of each sum or difference of the given expression \(\frac{1}{2x} +\frac{1}{2x}\) is equal to 1/x. Restriction on the variables is given by x≠ 0.

As given in the question,

Given expression is \(\frac{1}{2x} +\frac{1}{2x}\)

Simplify the given expression by taking the least common multiple,

\(\frac{1}{2x} +\frac{1}{2x}\\\\= \frac{1+1}{2x}\\ \\= \frac{2}{2x}\\ \\= \frac{1}{x}\)

Restriction on the variables is given by x≠ 0.

Therefore, the simplification of each sum or difference of the given expression \(\frac{1}{2x} +\frac{1}{2x}\) is equal to 1/x. Restriction on the variables is given by x≠ 0.

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The production possibilities frontier (PPF) for a country is typically concave to the origin, meaning it is bowed outwards. This occurs because productive resources, such as land, labor, and physical capital, are not equally efficient in producing different goods or services.

The concave shape of the production possibilities frontier (PPF) reflects the concept of diminishing returns or increasing opportunity costs. As a country allocates more resources to the production of one good, it must sacrifice the production of other goods. However, as more resources are diverted towards a specific good, the additional output gained becomes smaller and smaller.
This occurs because not all productive resources are equally efficient in producing all goods or services. Some resources may be better suited for specific industries or have specialized skills. As a result, the PPF is bowed outwards, indicating that the opportunity cost of producing more of one good increases as the production of the other good is reduced.
In summary, the concave shape of the production possibilities frontier is a result of the varying efficiency and specialization of productive resources in different industries. This leads to increasing opportunity costs and the bowed-out nature of the PPF.

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For the complex numbers -3+5i and 2-i3, the real and imaginary parts are as follows:

-3+5i: Real part = -3, Imaginary part = 5

2-i3: Real part = 2, Imaginary part = -3

A complex number is expressed in the form a+bi, where a is the real part and bi is the imaginary part. In the given examples, we have:

-3+5i: The real part is -3, which represents the horizontal component of the complex number, and the imaginary part is 5, which represents the vertical component.

2-i3: The real part is 2, representing the horizontal component, and the imaginary part is -3, representing the vertical component.

The real part of a complex number represents the value on the real number line, while the imaginary part represents the value on the imaginary number line. The imaginary part is multiplied by the imaginary unit 'i', which is defined as the square root of -1. Together, the real and imaginary parts form the complex number and can be used to perform various operations in complex arithmetic.

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2: 13.333 or 2: 13

multiply the 8 by 5/3 to combine the terms

Answer: z _> -10

Step-by-step explanation:

Answer:

7:4

Step-by-step explanation:

70 / 2 : 40 / 2

35:20

35 / 5 : 20 / 5

7:4

Answer: \(x^{2} +12x+20\)

Step-by-step explanation:

h(x)= (x+10)(x+2)

^ It is this way because it is so the x value will equal -10 and -2.

Now, we just distribute it. if the question does not have any points it passes through described in the problem, then it is pretty self explanatory.

x^2 + 2x+ 10x+ 20

= \(x^{2} +12x+20\)

Answer:

f(x) = A(x - 2)(x - 10),

where A is real and A= 20.

Step-by-step explanation:

if I'm wrong I am so very sorry

Answer:

Mari bought 6 packages of tomato seeds and each package contains 24 seeds then

Seeds = (6) * (24) = 144.

Mari has a total of 144 seeds.

Mari planted a pack of seeds and has 15 germinated seeds.

144-24-15 = 105

Mari then has 105 seeds left.

Answer

C At least 100 but no more than 120 seeds will sprout

The  statement about the seeds in the remaining packets is best supported by this information is option C:  At least 100 but no more than 120 seeds will sprout

Mari bought 6 packages of tomato seeds and each package contains 24 seeds so:

Seeds = 6 x 24  = 144.

Note that Mari has a total of 144 seeds. In the question, Mari planted a pack of seeds and has 15 germinated seeds.

Hence:

144-24-15 = 105

Mari then has 105 seeds left.

Hence option c: At least 100 but no more than 120 seeds will sprout, is correct.

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See full text below

Mari bought 6 packets of tomato seeds. Each

packet contained 24 seeds. She planted 1 packet

of the seeds, and 15 seeds sprouted.

Which statement about the seeds in the remaining

packets is best supported by this information?

A No more than 50 sees will sprout

B Between 50 and 100 seeds will sprout

C At least 100 but no more than 120 seeds will

sprout

D All 120 seeds will sprout

Cylindrical shape.

To model the volume of the cut tree, the appropriate geometric shape is a cylinder.

This is because a cylinder's volume is equal to the product of the base's area and the height of the cylinder,

which can be determined by the length of the equal sections of the tree trunk.

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The required answer is the current in the second parallel wire is approximately 0.446 A.

we can determine the current in the second wire using Ampere's law. Here's a step-by-step explanation:

1. A vertical straight wire carries an upward 29-A current.
2. The force per unit length between the two wires is given as 8.3×10^-4 N/m.
3. The distance between the two parallel wires is 5.5 cm, which is equal to 0.055 m.
The attractive force per unit length of 8.3×10−4 n/m is exerted by the first vertical wire, which carries an upward 29-aa current, on the second parallel wire located 5.5 cm away.
We'll use Ampere's law to find the current in the second wire. The formula for the force per unit length between two parallel wires is:
F/L = (μ₀ × I₁ × I₂) / (2π × d)

where F is the force, L is the length of the wires, μ₀ is the permeability of free space (4π × 10^-7 T·m/A), I₁ and I₂ are the currents in the wires, and d is the distance between the wires.
Rearranging the formula to find I₂, we get:
I₂ = (2π × d × F/L) / (μ₀ × I₁)
Now, plug in the given values:
I₂ = (2π × 0.055 × 8.3 × 10^-4) / (4π × 10^-7 × 29)
I₂ ≈ 0.446 A

So, the current in the second parallel wire is approximately 0.446 A.

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