0•21 = ____

5•0=_______​

The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.

The sequence that shows the numbers in order from least to greatest is D. 2.14 < 2.8 < 3.16227766017.What is the meaning of the inequality symbols?The inequality symbols are mathematical symbols that are used to compare two values.

They indicate the relationship between two values that are not equal to each other. Here are the inequality symbols:

< (less than)≤ (less than or equal to)> (greater than)≥ (greater than or equal to)What is the meaning of the sequence?

A sequence is a set of numbers arranged in a particular order. The order of the numbers in a sequence can be from smallest to largest or largest to smallest.

The sequence D. 2.14 < 2.8 < 3.16227766017 is arranged from smallest to largest because the first number in the sequence, 2.14, is the smallest, and the last number in the sequence, 3.16227766017, is the largest.

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Answer: I would assume it to be 9 if you are allowed to round.

Step-by-step explanation: A sphere with a volume of 367cm^3 has a radius of 4.44. Diameter is radius * 2. This would most closely equal 8.88, which rounds to 9.

The solution to the linear system is c = -6 and d = 3.

To solve the linear system using the elimination strategy, we can eliminate one variable by adding or subtracting the equations. Let's solve the first linear system:

(1) 12c + 28d = 12

(2) -20c + 16d = 168

To eliminate one variable, we can multiply equation (1) by 5 and equation (2) by 3, which will result in opposite coefficients for 'c'. This will allow us to eliminate 'c' when adding the equations together:

(1) 60c + 140d = 60

(2) -60c + 48d = 504

Now, we can add the equations:

(60c + 140d) + (-60c + 48d) = 60 + 504

188d = 564

d = 564/188

d = 3

Substituting the value of 'd' back into equation (1):

12c + 28(3) = 12

12c + 84 = 12

12c = 12 - 84

12c = -72

c = -72/12

c = -6

The solution to the linear system is c = -6 and d = 3.

Now let's analyze the second linear system:

(1) 7x - 3y = 43

(2) 7x - 3y = 13

By comparing the two equations, we can see that they have the same coefficients for both 'x' and 'y', and the constant terms on the right side are different. This means the lines represented by the equations are parallel and will never intersect.

The linear system has no solution.

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The sum of the first ten positive odd integers can be written in sigma notation as:

∑(2n-1) for n=1 to 10

Sigma notation (also known as summation notation) is a mathematical notation used to represent the sum of a sequence of numbers.

The symbol Σ (sigma) is used to represent the sum, and the numbers being added are represented by a variable (such as n) that takes on different values in the sequence. The values of the variable are specified using subscripts, and the range of values is specified using the limits of summation.

For example, the sigma notation ∑(2n-1) for n=1 to 10 represents the sum of the first ten positive odd integers. The variable n takes on the values of 1, 2, 3, ..., 10, and the expression 2n-1 is used to represent each of the numbers in the sequence (1, 3, 5, ..., 19). The limits of summation specify that the sum is taken over the range of n from 1 to 10.

Now,

a) The sum of the first ten positive odd integers can be written in sigma notation as:

∑(2n-1) for n=1 to 10

(b) The sum of the cubes of the first n positive integers can be written in sigma notation as:

∑n^3 for n=1 to n

(c) 6 + 10 + 14 + 18 + … + 42 can be written in sigma notation as:

∑(4n+2) for n=1 to 7

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Answer:

2/10ths?

Step-by-step explanation:

then it would be 1/5th

Answer:c

Step-by-step explanation:

B

substitute the value of each choice

2-2=3(1-1)

Answer:

angle b

Step-by-step explanation:

let's assume the triangle is a right angle triangle . either angle a or c can be equal to 60 degree

Answer:

Here are the angles in each quadrant with a common reference angle of 165°:

First quadrant: angle is 15° (subtract 165° from 180°)

Second quadrant: angle is 195° (subtract 165° from 180° and add the result to 180°)

Third quadrant: angle is 195° (subtract 165° from 180° and then subtract the result from 180°)

Fourth quadrant: angle is 195° (subtract 165° from 360°)

Answer:

48

Step-by-step explanation:

simple,

a quarter is split into 4

so u do 12x4

Answer:

18 hope this makes sense

Step-by-step explanation:

2 and exponent =4 bc exponents make it multiply the same number again how ever many times is there. so it's

4 x 5 - (4 - 2)

4 x 5 - 2

20 - 2 = 18

Answer:

18

Step-by-step explanation:

Do parenthesis and get 2, then 4 x 5=20 then 20 -2= 18.

The values of x is 6 and y is (-6).

An assignment of values to the unknown variables that establishes the equality in the equation is referred to as a solution. To put it another way, a solution is a value or set of values (one for each unknown) that, when used to replace the unknowns, cause the equation to equal itself.

Given:

-4x-5y=6............(1)

9x+7y=12..................(2)

Solving Equation (1) and (2) we get

-36 x  - 45y = 54

36x + 28y = 48

____________

         -17y= 102

              y= -6.

and, -4x -5y= 6

-4x - 5(-6) = 6

-4x + 30 = 6

-4x = 6-30

-4x = -24

x= 6

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Answer:

I do not have access to Annexure A and Annexure B, so I cannot collect the data, draw the frequency table or pie chart, or answer the last question. However, I can provide a general explanation of how to calculate the mean, mode, median, and range from a set of data.

To find the mean (average) of a set of data, add up all the values in the set and divide by the number of values. For example, if the maximum temperatures of the 30 days are:

25, 28, 29, 27, 26, 30, 31, 32, 29, 27, 26, 24, 23, 25, 28, 30, 32, 33, 34, 31, 29, 28, 27, 26, 25, 24, 23, 21, 20, 22

The sum of the values is:

25 + 28 + 29 + 27 + 26 + 30 + 31 + 32 + 29 + 27 + 26 + 24 + 23 + 25 + 28 + 30 + 32 + 33 + 34 + 31 + 29 + 28 + 27 + 26 + 25 + 24 + 23 + 21 + 20 + 22 = 813

Dividing by the number of values (30), we get:

Mean = 813/30 = 27.1

To find the mode of a set of data, identify the value that occurs most frequently. In this example, there are two values that occur most frequently, 27 and 29, so the data has two modes.

To find the median of a set of data, arrange the values in order from smallest to largest and find the middle value. If there are an even number of values, take the mean of the two middle values. In this example, the values in ascending order are:

20, 21, 22, 23, 23, 24, 24, 25, 25, 26, 26, 27, 27, 27, 28, 28, 29, 29, 29, 30, 30, 31, 31, 32, 32, 33, 34

There are 30 values, so the median is the 15th value, which is 28.

To find the range of a set of data, subtract the smallest value from the largest value. In this example, the smallest value is 20 and the largest value is 34, so the range is:

Range = 34 - 20 = 14

To create a frequency table for the maximum temperature data, we need to group the data into intervals and count the number of values that fall into each interval. For example, we could use the following intervals:

20-24, 25-29, 30-34

The frequency table would look like this:

Interval | Frequency

20-24 | 4

25-29 | 18

30-34 | 8

To calculate the size of the angles for the pie chart, we need to find the total frequency (30) and divide 360° by the total frequency to get the proportion of each interval in degrees. For example, for the interval 25-29:

Proportion = Frequency/Total frequency = 18/30 = 0.6

Angle = Proportion * 360° = 0.6 * 360° = 216°

We can repeat this calculation for each interval to obtain the angles for the pie chart.

In terms of the last question, it is not clear what is meant by "which data collection best describe the maximum and why?". If you could provide more context or clarification, I would be happy to try to help.

Answer:

1 sunflower

Step-by-step explanation:

Start at 15 then go to the left of the line graph. After count how many X there are which there is one.

Answer:

b= 5\(\sqrt{3}\) c = 10,   x=7 hypotenuse = 7\(\sqrt{2}\)

Step-by-step explanation:

A 30-60-90 triangle has the ratios of x-x\(\sqrt{3}\)-2x so if x=5, then 5-5\(\sqrt{3}\) - 10

for a 45-45-90, if one leg is 7, so is the other x\(\sqrt{2}\) so hypotenuse is 7\(\sqrt{2}\)

Answer:

a)\(s=\sqrt{1+d^2}\)

b)d(t)=500t

c)\(s(t) =\sqrt{1+250000t^2}\)

Step-by-step explanation:

d = Horizontal distance

s = the distance between the plane and the radar station

The horizontal distance (d), the one mile altitude, and s form a right triangle.

So, use Pythagoras theorem

\(Hypotenuse^2=Perpendicular^2+Base^2\)

\(s^2=1^2+d^2\)

a) \(s=\sqrt{1+d^2}\)

(b) Express d as a function of the time t (in hours) that the plane has flown.

\(distance = speed \times time\)

d(t)=500t

(c) Use composition to express s as a function of t.

\(s(t) =\sqrt{1+d^2}\)

using b

\(s(t) =\sqrt{1+(500t)^2}\\s(t) =\sqrt{1+250000t^2}\)

Answer:

-8

Step-by-step explanation:

→ Rearrange into y = mx + c format

y = 6x - 8

→ Find the y - intercept

-8

Answer:

yes they are

Step-by-step explanation:

see nobody answers correctly:)

Answer:

6/5

Step-by-step explanation:

The scale factor can be obtained by simply finding the ratio of the lenght of the side of one shape to the length of the same side of the other shape.

Thus, we can obtain the scale factor that will take us from △ABC to △MNO as illustrated below:

Original Length BC = 15 in

New Length NO = 18 in

Scale factor =?

Scale factor = New lenght NO / Original length BC

Scale factor = 18 / 15

Scale factor = 6/5

Therefore, the scale factor that will take us from △ABC to △MNO is 6/5.

Answer:

18

Step-by-step explanation:

PEMDAS

I hope this helped

Answer:yes

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

if you remove the triangle, they will continuously go on both sides with one on the other.

The calculated length of the segment OP is 90 units

From the question, we have the following parameters that can be used in our computation:

Scale factor = 5

PQ = 18

The length of the segment OP is calculated as

OP = PQ * Scale factor

Substitute the known values in the above equation, so, we have the following representation

OP = 18 * 5

Evaluate

OP = 90

Hence, the length of the segment OP is 90 units

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For the fractions, the calculation of 3/5 of 2/3 of 3/4 of 560 is equal to 168.

To calculate 3/5 of 2/3 of 3/4 of 560, break it down step by step:

Step 1: Calculate 3/4 of 560:

3/4 × 560 = (3 × 560) / 4 = 1680 / 4 = 420

Step 2: Calculate 2/3 of the result from Step 1:

2/3 × 420 = (2 × 420) / 3 = 840 / 3 = 280

Step 3: Calculate 3/5 of the result from Step 2:

3/5 × 280 = (3 × 280) / 5 = 840 / 5 = 168

Therefore, 3/5 of 2/3 of 3/4 of 560 is equal to 168.

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The volume of the cone is 13 cm³. option D

To determine the volume of the cone, we have that;

The formula for calculating the volume of a cone is expressed as;

Volume = (1/3)πr ²√(L ² - r ²).

Such that;

Substitute the values, we have;

Volume = 1/3 × 3.14 ² × √(25 - 9)

Find the squares, we get;

Volume, V = 1/3 × 9. 86 × √16

Find the square root

Volume, V = 1/3 × 9.86 × 4

Volume, V = 13 cm³

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Answer:

4

Step-by-step explanation:

8/2=4

a) She can make 400 milliliters of the fizzy drink.

b) The change does not affect the greatest amount of drink.

We know that the fizzy drink is 7 parts apple juice and 3 parts lemonade. And Kerry thinks that she has 280ml of apple juice and 180 ml lemonade.

If we divide the total amount of apple juice in 7 parts, then each part has:

280ml/7 = 40ml

Then we need 3 parts of 40ml of the lemonade, this is:

3*40ml = 120ml

Then the total amounf of drink fizz that she can make is:

280ml + 120ml = 400ml.

b) Now she has  160 ml of lemonade, but she needs 120 ml of it, so this change does not affect the greatest amount of fizzy drink she can make.

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Answer:

Stop the line of production since the sample mean  (56.96) is outside the confidence interval [\(CI_{0.95}\) = ( 56.98, 57.05 )]

Step-by-step explanation:

Given that;

95% confidence interval for these parts is 56.98 to 57.05

\(CI_{0.95}\) = ( 56.98, 57.05 )

Sample mean = 56.96

We know that;

If the sample mean is within the confidence interval then, our decision is to keep the line operating as it is inside the confidence interval.

But if the sample mean is not within the confidence interval them, our decision is to stop the line of production as it is outside the confidence interval.

Now since our mean sample (56.96) does not lie between with the 95% confidence interval \(CI_{0.95}\) = ( 56.98, 57.05 ).

Therefore, Stop the line of production since the sample mean  (56.96) is outside the confidence interval [\(CI_{0.95}\) = ( 56.98, 57.05 )]

Answer:

8

Step-by-step explanation:

let x be the number , then

\(\frac{3}{4}\) x = 27 ( multiply both sides by 4 to clear the fraction )

3x = 108 ( divide both sides by 3 )

x = 36

the number is 36, so

\(\frac{2}{9}\) × 36 = 2 × 4 = 8

The two ninths of the number is 8

We know that Three quarters of a number is  \(\frac{3}{4}\)  times of a number

Hence we will assume the number x ,

                     \(\frac{3}{4} of x = 27\)

                     \(x = 27 X \frac{4}{3}\)

                       \(x = 36\)

Now as we know the number is 36

Therefore , the two ninths of the number assumed as y

We will multiply the number 36 by 2 and then divide by 9

Hence,

                           \(y = 36 X \frac{2}{9}\)

                               \(y = 8\)

Thus, the two ninths of the number 36  is 8                            

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