Given the following sets:
A = {2, 4, 6, 8, 10, 12, 14, 16, 18, 20}
B = {3, 6, 9, 12, 15, 18}
C = {4, 8, 12, 16, 20}
Find:
n (A)

Step-by-step explanation:

75 = 3 x 5 x 5    in prime factorization

Answer:

Step-by-step explanation:

3x5x5

Answer:

x = 6.4

Step-by-step explanation:

Δ NOP and Δ NLM are similar triangles ( by the AA postulate )

Then the ratios of corresponding sides are in proportion , that is

\(\frac{OP}{LM}\) = \(\frac{NO}{NL}\) , substitute values

\(\frac{x}{8}\) = \(\frac{5.6}{7}\) ( cross- multiply )

7x = 44.8 ( divide both sides by 7 )

x = 6.4

Answer:

B) \(4i\sqrt{2}\)

Step-by-step explanation:

\(\sqrt{-2}=i\sqrt{2}\\\sqrt{-18}=i\sqrt{18}=i\sqrt{9*2}=3i\sqrt{2}\\\\\sqrt{-2}+\sqrt{-18}=i\sqrt{2}+3i\sqrt{2}=4i\sqrt{2}\)

Answer: ten minutes per car

Step-by-step explanation:

50 divided by 5 is ten

The unit rate would be the time to do one car.

Divide total time by total cars:

50 minutes / 5 cars = 10 minutes per car.

Consider the given inequality,

Note that a square root inequality is defined only if the 'x' is non-negative.

Now, squaring both sides will not affect the inequality as both sides are positive terms,

Combining the two results,

Thus, the solution set to the inequality is the set of all real numbers from 0 to 121 .

Answer:

28 m below the surface to catch its prey

Answer:

B. Korematsu lost, and the internment was deemed necessary and not discrimination

Step-by-step explanation:

Give me brainliest if that helped :)

Answer:

the square root of 99

6pi-6

pi^3

Step-by-step explanation:

The square root of 99 is approximately 9.9.

6pi-6 is approximately 12.8

pi^3 is approximately 12.8

Modeling this scenario with a system of equations using a linear function and a quadratic function yields the following:

y = 2(x - 4)² + 2.

5x + 11y = 62.

A quadratic function with vertex (h,k), may be represented by the equation:

y = a(x - h)² + k

Because the vertex of this issue is located at (4,2), we may deduce that h = 4 and k = 2, and the equation for this problem is as follows:

y = a(x - 4)² + 2.

Because it goes through the location characterized by its coordinates (5, 4), we may determine a by establishing that when x = 5, y = 4.

4 = a + 2.

a = 2.

Thus the equation is:

y = 2(x - 4)² + 2.

The slope, denoted by m, is the rate of change, or the degree to which y deviates from its initial value for each unit of x that is added.

The y-intercept, denoted by the letter b, is the value of the variable y when the variable x is equal to zero. It may also be construed as the beginning value of the function.

Because the road links the locations (–3, 7) and (8, 2), the slope may be calculated as follows:

m = (2 - 7)/(8 - (-3)) = -5/11.

Then:

y = -5/11x + b.

When x = 8, y = 2, hence we use it to find b as follows:

2 = -40/11 + b

b = 62/11.

Then the equation is:

y = -5/11x + 62/11.

5x + 11y = 62.

The system of equations is:

y = 2(x - 4)² + 2.

5x + 11y = 62.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

Answer:

a edge

Step-by-step explanation:

We provide recruitment solutions for your Future Talent and Volume Hiring needs. Platform. Services.

Define Decimal place?

To learn more about decimal place refers to:

https://brainly.com/question/29423712

#SPJ1

a. The answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. The answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

a. To represent 20 longs in base seven, we need to find the fewest number of multibase blocks required.

In base seven, we have the following conversions:

1 long = 1 unit

1 flat = 10 units

1 block = 10 flats

To represent 20 longs, we can use 2 flats (each flat representing 10 units) and 0 units since there are no remaining units.

So, the fewest number of multibase blocks required would be 2 flats.

Therefore, the answer is: The fewest number of multibase blocks required to represent 20 longs in base seven is 2 flats.

b. To represent 10 longs in base three, we need to find the fewest number of multibase blocks required.

In base three, we have the following conversions:

1 long = 1 unit

1 flat = 3 units

1 block = 3 flats

To represent 10 longs, we can use 3 flats (each flat representing 3 units) and 1 unit since there is one remaining unit.

So, the fewest number of multibase blocks required would be 3 flats and 1 unit.

Therefore, the answer is: The fewest number of multibase blocks required to represent 10 longs in base three is 3 flats and 1 unit.

for such more question on fewest number

https://brainly.com/question/859564

#SPJ8

0.5236 meters is the length of the given arc.

The formula for the length of an arc is given by:

Arc Length = (θ/360) * 2πr

Where:

In this case, the central angle is 60 degrees and the radius is 1/2 meters.

Plugging the values into the formula, we have:

Arc Length = (60/360) * 2π(1/2)

Arc Length = (1/6) * π

Arc Length = π/6

Therefore, the length of the arc that subtends an angle of 60 degrees at the center of a circle with a radius of 1/2 meters is π/6 meters or approximately 0.5236 meters.

Learn more about arc here:

https://brainly.com/question/31612770

#SPJ1

The identity of  sin²Ф + cos²Ф  = 1 is verified below

Trigonometry ratio can be evaluated by following the laid down rules with the the use of table and calculator

Given that tan Ф =  1/√5

Where Tan Ф = Opposite / adjacent

We can calculate the hypotenuse by using Pythagoras theorem

Hyp² = 1² + (√5)²

Hyp² = 1 + 5

Hyp = √6

sin Ф = opp / hyp

sin Ф = 1/√6

sin²Ф = 1/6

cos Ф = adj / hyp

cosФ = √5 / √6

cos²Ф = 5/6

sin²Ф + cos²Ф =  1/6 + 5/6

sin²Ф + cos²Ф  = 6/6

sin²Ф + cos²Ф  = 1

Therefore, the identity of  sin²Ф + cos²Ф  = 1 is verified.

Learn more about Trigonometry here: https://brainly.com/question/24349828

#SPJ1

Answer:

34 cm

Step-by-step explanation:

The radius is half of the diameter, so 17 cm is half of 34 cm.

Diameter = 34 cm

Answer:

Step-by-step explanation:

it would be "c" because the question asks for the number that makes the inequality true

4x≤ x+3

the graph in c is saying that every number that is 1 or less than 1 makes the inequality true. so lets take -7 as an example

4 x -7=-28

-28+3=-25

-25 is greater than -28 so the inequality is true. the reason why graph d doesnt work is because if we plug in 2 into the equation, then 4x =8 and x+3=5

5 is not greater than 8 so it doesnt work

c) Mode: 15 (appears 6 times)

Mean: 15.25

Median: 15

d) Probability of being 13 years old: 2/20 = 0.1 or 10%

e) Probability of being 14 or 16 years old: 6/20 = 0.3 or 30%

f) Probability of not having 15 years old: 1 - (6/20) = 14/20 = 0.7 or 70%

a) To create a table and calculate the absolute frequency, relative frequency, and percentual frequency, we organize the given ages in ascending order:

13 13 14 14 15 15 15 15 15 16 16 17 17 17 18 18

Age Absolute Frequency Relative Frequency Percentual Frequency

13 2 2/16 12.5%

14 2 2/16 12.5%

15 5 5/16 31.25%

16 2 2/16 12.5%

17 3 3/16 18.75%

18 2 2/16 12.5%

b) To represent the data graphically with a histogram, we plot the ages on the x-axis and the absolute frequency on the y-axis:

c) To calculate the mode, mean, and median:

Mode: The mode is the most frequently occurring age in the dataset. In this case, the mode is 15, as it appears 5 times.

Mean: The mean is the average of all the ages. To calculate it, we sum up all the ages and divide by the total number of ages:

(13 + 13 + 14 + 14 + 15 + 15 + 15 + 15 + 15 + 16 + 16 + 17 + 17 + 17 + 18 + 18) / 20 = 306 / 20 = 15.3

Median: The median is the middle value in the dataset when arranged in ascending order. In this case, the median is 15 since it falls in the middle.

d) To calculate the probability of having 13 years old, we divide the absolute frequency of 13 (2) by the total number of ages (20):

Probability of 13 years old = 2/20 = 0.1 or 10%

e) To calculate the probability of having 14 or 16 years old, we add the absolute frequencies of 14 and 16 (2 + 2 = 4) and divide by the total number of ages (20):

Probability of 14 or 16 years old = 4/20 = 0.2 or 20%

f) To calculate the probability of not having 15 years old, we subtract the absolute frequency of 15 (5) from the total number of ages (20):

Probability of not having 15 years old = (20 - 5)/20 = 0.75 or 75%

for such more question on Probability

https://brainly.com/question/13604758

#SPJ8

Answer:

-2x + 6 > 10

Step-by-step explanation:

Let the unknown number be x

the product of x and -2 is -2x

6 more than -2x is written as

-2x + 6

if the result of the above is greater than 10, then

-2x + 6 > 10

Answer:

BC = 56 units

Step-by-step explanation:

since the main diagonal AK bisects the diagonal BC , then the figure is a kite.

• the disjoint pairs of consecutive sides are congruent in a kite, that is

AB = AC and BK = CK

using the pair AB = AC  to solve for x

9x - 14 = 6x + 7 ( subtract 6x from both sides )

3x - 14 = 7 ( add 14 to both sides )

3x = 21 ( divide both sides by 3 )

x = 7

Since m bisects BC , then

CP = PB and

BC = CP + PB = 4x + 4x = 8x

then

BC = 8x = 8 × 7 = 56

The sum of magnitude of u + v is 15.99.

The  magnitude or size of a mathematical object is described as a property which determines whether the object is larger or smaller than other objects of the same kind.

Given that, magnitude of u =  5

Magnitude of v = 11

The angle between them i= 40°

we represent u and v in vector form,

u = 5 ( cos 40° i + sin 40° j ) = 3.83 i + 3.21 j

v = 11 ( cos 40° i + sin 40° j ) = 8.42 i + 7.07 j

The sum of two vectors is given by

u + v = 3.83 i + 3.21 j +  8.42 i + 7.07 j

u + v = 12.25 i + 10.28 j

Magnitude of u + v = √(12.25²+10.28²)

Magnitude of u + v

Magnitude of u + v   = √( 150.063 + 105.678)

Magnitude of u + v = 15.99

Learn  more about vectors form at:

https://brainly.com/question/25705666

#SPJ1

complete question:

Given the magnitudes of vectors u and v and the angle θ between them, find sum of . Give the magnitude to the nearest tenth when necessary and give the direction by specifying the angle that the resultant makes with u to the nearest degree. ∣ u∣ = 5, ∣ v∣ = 11, θ = 40°

The system of equations has one solution.

To check this, we can graph the two equations of the system:

y = (-1/3)x + 7

y = -2x³ + 5x² + x - 2

On the same coordinate axis, and check how many times do the graphs intercept.

The graph can be seen in the image at the end, there you can see that there is only one intecept point. Thus, the system of equations has only one solution.

Learn more about systems of equations at:

https://brainly.com/question/13729904

#SPJ1

Answer:

33/2 or 16 1/2

Step-by-step explanation:

9/2 x 11/3

99/6

33/2 or 16 1/2

Answer:

a) about 190 acres

b) around 240 acres

c) exponential decay because the amount of land available is decreasing at an increasingly rapid rate over time.

The distribution of a quantitative trait in a population can have important implications for the size and composition of the population over time.

Quantitative traits are characteristics that can be measured and quantified, such as height or weight. These traits often have a normal distribution pattern in large populations, meaning that most individuals fall within a certain range and there are fewer individuals at the extremes.

The normal distribution of a quantitative trait is often represented by a bell curve. This curve shows the frequency of individuals at different values of the trait, with the majority of individuals falling near the middle of the curve and fewer individuals at the extremes. The mean, or average, of the trait is located at the peak of the curve, and the standard deviation determines the width of the curve.

If the distribution shifts to the left, this means that there are fewer individuals with high values of the trait and more individuals with low values. This could occur if there is selective pressure against individuals with high values, or if there is a genetic mutation that affects the trait in a negative way.

As a result, the population size may increase, as individuals with low values of the trait are more likely to survive and reproduce.

Conversely, if the distribution shifts to the right, this means that there are fewer individuals with low values of the trait and more individuals with high values.

This could occur if there is selective pressure in favor of individuals with high values, or if there is a genetic mutation that affects the trait in a positive way.

As a result, the population size may also increase, as individuals with high values of the trait are more likely to survive and reproduce.

To know more about distribution here.

https://brainly.com/question/29062095

#SPJ4

There are 28 units in total between the first and last clothespin.

The resulting displacement may be measured using the distance. It represents the distance between the two places. It may be measured using a variety of units, including meters and centimeters.

The specified parameter is shown as intervals in the query. The phrase can be written as follows:

There are 15 total clothespins.

The distance between clothing pegs is 2 feet.

No, the following is the distance from the initial location to the last one:

0 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 + 2 = 28 units

There are 28 units in total between the first and last clothespin.

To learn more about the distance from the given link:

https://brainly.com/question/23848540

#SPJ9

I got you, buddy!

Let x be the length of the shortest side. Then, the length of the second side is 2x, and the length of the third side is x + y, where y is the additional length.

The perimeter of the triangle is the sum of the three sides, so we have:

x + 2x + (x + y) = 60

Simplifying this equation, we get:

4x + y = 60

We also know that the area of a triangle is given by:

A = (1/2)bh

where b is the length of the base, and h is the height. Since the base of the flower bed is the shortest side of length x, we can choose the height to be y. Therefore, we have:

A = (1/2)xy

Now we need to solve for x and y. We can use the equation for the perimeter to solve for y:

y = 60 - 4x

Substituting this into the equation for the area, we have:

A = (1/2)x(60 - 4x)

Simplifying and expanding, we get:

A = 30x - 2x^2

To maximize the area, we can take the derivative of A with respect to x and set it equal to 0:

dA/dx = 30 - 4x = 0

Solving for x, we get:

x = 7.5

Substituting this back into the equation for y, we get:

y = 60 - 4x = 45

Therefore, the dimensions of the flower bed are:

shortest side = x = 7.5 feet second side = 2x = 15 feet third side = x + y = 52.5 feet

The probability that the animal's weight will be less than 151 pounds is 0.50.

The correct option is B.

Since the given probability distribution ranges from 148 to 152, and we need to find the probability that the animal's weight will be less than 151 pounds, we can add the probabilities corresponding to the weights less than 151.

From the distribution, we see that the probability of the animal's weight being less than 151 pounds is 0.2 + 0.3 = 0.5.

Therefore, the answer is O 0.50.

Learn more about probability at: https://brainly.com/question/251701

#SPJ1

We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot.

A statistical test is required to determine whether the length of the left foot is greater than the length of the right foot. The null hypothesis states that there is no difference in average length between the left and right feet. The alternative hypothesis is that the left foot's average length is greater than the right foot's average length.

This hypothesis is one-tailed, as we are only interested in whether the left foot is longer than the right foot. We are not considering the possibility that the right foot could be longer than the left foot.

A t-test can be used to determine whether the difference in average length between the left and right feet is statistically significant. We can reject the null hypothesis and conclude that there is evidence to support the alternative hypothesis that the left foot is longer than the right foot if the p-value of the t-test is less than the chosen significance level (e.g., 0.05).

Learn more about null hypothesis at https://brainly.com/question/25263462

#SPJ1