Find the conjugate and product of

i2 + 9​

Answer:

it's 3. how could u not know that 0.4 x 3 = 1.2 duh

The value of the expression is 3.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

1.2 ÷ 0.4

= 1.2 / 0.4

The decimal point gets canceled.

= 12/4

= 3

Thus,

The value of the expression is 3.

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Answer:

the answer is A because a direct variation between x and y is solid to vary directly with x

If the expression  (4k + 8)/4 simplifies to an expression of the form ak + b, then the value of a/b is 1/2

The expression is (4k + 8) / 4

The expression is the mathematical statement that consist of the different variables, numbers and the mathematical operator. The mathematical operators are addition, subtraction, division and multiplication.

The given expression is (4k + 8)/ 4

Solve the expression

(4k + 8) / 4 = 4k/4 + 8/4

Divide the terms

=k + 2

The result is in the form of ak + b

The value of a = 1

The value of b = 2

The value of a/b = 1/2

Therefore, the value of the expression a/b is 1/2

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Answer:

c = 10

Step-by-step explanation:

Hypotnuse² = base²+height²

c²= 8²+6²

c²=64+36

= 100

100 = 10²

c = 10

We can Add 7 black beads to make ratio 3 : 1.

Since we can only change the number of black beads, decide how many black beads you will add based on how many white beads there are.

There are three white beads in the picture.

Total beads we will have (b meaning black)b : 3

Ratio black : white beads 3 : 1

Use the common ratio, which is a number that both sides of the original ratio multiply by to get to the new ratio.

Find common ratio by dividing total by ratio white beads: 3/1 = 3

Multiply ratio black beads by common ratio. 3 X 3 = 9

We need 9 black beads in total.

Check answer

9 : 3    

Both sides divisible by 3; reduce ratio

= 3 : 1        

Which is Correct ratio

Hence, There will be a total of 9 black beads, but we already have 2 black beads:

(9 total) - (2 original) = (7 to add)

Therefore , we need to add 7 black beads.

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Answer:

Step-by-step explanation:

The total of all 3 angles in every triangle equals 180 degrees.  An isosceles triangle has two side lengths equal and two angle degrees equal.  

So you either have two angles with each having 70 degrees and the third angle is 40 degrees,  

70 + 70 + 40=180

OR

One angle of 70 degrees and two angles that are 55 degrees each.  

70 + 55 +55 =180

Answer:

Step-by-step explanation:The total of all 3 angles in every triangle equals 180 degrees.  An isosceles triangle has two side lengths equal and two angle degrees equal.  So you either have two angles with each having 70 degrees and the third angle is 40 degrees,   70 + 70 + 40=180OROne angle of 70 degrees and two angles that are 55 degrees each.   70 + 55 +55 =180

The series of rigid motion transformations that map polygon A to Polygon A''' are;

A rigid transformation is a transformation in which the distance between all pairs of points on the pre-image is preserved following the transformation.

The series of rigid motion transformations that map polygon A to polygon A''' are;

Transformation from A to A'

Transformation from A' to A''

Transformation from A'' to A'''

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Question A is the survey that you expect to have fair results regarding attitudes about carnivals

This survey question is the most neutral and fair among the options provided. It doesn't include any leading or biased language that may influence the respondent's answer.

Option B uses the adjective "exciting," which could lead people to think positively about carnivals.

Option C brings in the unrelated factor of "traveling across town," which could negatively influence the response based on travel preference rather than attitude towards carnivals. Option D uses negative descriptors "noisy" and "overpriced," which could lead people to think negatively about carnivals.

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The value of side BC of square is \(13{\sqrt{2}\) and the value of x through which the relation is satisfied  x = 7 .

What about square ?

A square is a regular quadrilateral with all four sides of equal length and all four angles of equal measure (i.e., 90 degrees). It can be thought of as a special case of a rectangle, where all four sides are equal in length.

The properties of a square include:

- All four sides are equal in length.

- All four angles are right angles (i.e., 90 degrees).

- Opposite sides are parallel and congruent.

- Diagonals bisect each other at right angles.

- The diagonals of a square are congruent.

According to the given information:

For (18) as we know all sides of square are equal

Hence AB = BC = X

\(x^{2} + x^{2} = 26^{2} \\\\2x^{2} = 26^{2} \\\\x = 13\sqrt{2}\)

BC =  \(13\sqrt{2}\)

In the same way the diagonal bisect the angle of triangle so, m ∠BCE =

m ∠CBE and m ∠BEC = 90 degree.

\((11x - 32) + (11x - 32) + 90 = 180\\\\2(11x -32) = 90 \\\\11x -32 = 45\\\\x = 7\)

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Answer:

Friday, total earning:

Saturday, total earning:

Total for the two nights is:

Average per hour is:

Part A: There are 28 green beans in the garden. Part B: There are 80 plants that are either pumpkin or tomato. Part C: There are 52 more corn plants than cucumber plants.

A circle graph, often called a pie chart, is a circular graph with sectors on it, each representing a particular category or set of data. Each sector's area or angle is proportionate to the amount it stands for. In data visualisation, circle graphs are frequently used to show the relative sizes or proportions of several categories or groups within a dataset. They can instantly convey the distribution of data without the need for laborious numerical calculations, which makes them effective for presenting data that is divided into discrete groups. However, if the data is not presented in a clear and simple manner or if the sectors are not precisely drawn to scale, circle graphs may be deceiving.

Part A: The percentage of green beans in the circle graph is 14%.

14% of 200 = 0.14 x 200 = 28

Part B: The circle graph shows:

pumpkin plants and tomato plants is 20% + 20% = 40%.

40% of 200 = 0.40 x 200 = 80

Part C: The corn plants is 36% and the percentage of cucumber plants is 10%.

36% of 200 - 10% of 200 = (0.36 x 200) - (0.10 x 200) = 72 - 20 = 52

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The sequence of the terms is -7,-1+5, and +11. A series is a collection of sequences.

A sequence is a collection of items that have been arranged in a logical order, with members appearing either before or after each other.

Given equation ;

\(\rm a_n = a_{n-1}+6\)

If,

\(\rm a_1 = -13\)

The next term in the sequence is;

\(\rm a_2 = a_{2-1}+6 \\\\ \rm a_2 = a_{1}+6 \\\\ a_2 = -13 +6 \\\\ a_2 =-7\)

\(\rm a_3 = a_{3-1}+6 \\\\ \rm a_3 = a_{3}+6 \\\\ a_3 = -7 +6 \\\\ a_3 =-1\)

\(\rm a_4 = a_{4-1}+6 \\\\ \rm a_4 = a_{3}+6 \\\\ a_4 = -1 +6 \\\\ a_4 =+5\)

\(\rm a_5 = a_{5-1}+6 \\\\ \rm a_5 = a_{4}+6 \\\\ a_5 = 5 +6 \\\\ a_5 =11\)

Hence, the sequence of the terms is -7,-1+5, and +11.

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Answer:

3x/4 = 5

Step-by-step explanation:

Answer:

D. <3 and <7

Step-by-step explanation:

Corresponding angles are angles that are on matching sides and that are cut by a transversal.

Hope this helps!

Answer:

1/18

3/2

Step-by-step explanation:

18 = 18/1 if the reciprocal means to flip the denominator and the numerator then just witched them so it would be 1/18

2/3 would be 3/2

In order to find the reciprocal of a number, we should flop it over.

In order to find the reciprocal of a fraction, then the numerator & denominator switch places.

Kindly consult the following formula for more details:-

\(\sf{The~reciprocal~of~a~is~\displaystyle\frac{1}{a}}\)

\(\sf{The~reciprocal~of~\displaystyle\frac{a}{b} ~is~\frac{b}{a}}\)

According to the formula, the reciprocals are;-

\(\sf{Reciprocal \ of \ 18:-{\boxed{\displaystyle\frac{1}{18}}}\)

\(\sf{Reciprocal~of~\displaystyle\frac{2}{3}:- {\boxed{\frac{3}{2}}\)

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Answer:

2sqr3, the first option

Step-by-step explanation:

If we assume that σ = 15 then the required sample size is 216 .

In the question ,

it is given that ,

the standard deviation is (σ) = 15

we want to be  95% confident . So , α \(=\) 1 - 0.95 = 0.05

So , \(Z_{\frac{\alpha }{2} }\) is = \(Z_{\frac{0.05 }{2} }\) = Z₀.₀₂₅

from z table ,

Z₀.₀₂₅  = 1.96 .

e is given to be = 2 IQ points

the sample size (n) is calculated using the formula .

n = (σ × \(Z_{\frac{\alpha }{2} }\)/e)²

Substituting the values ,

we get ,

n = (15 * 1.96/2)²

n = (29.4/2)²

n = (14.7)²

n = 216.09

n ≈ 216

Therefore , the sample size necessary to estimate the mean IQ score of statistics students is 216 .

The given question is incomplete , the complete question is

The standard IQ test is designed so that the mean is 100 and the standard deviation is 15 for the population of all adults. We wish to find the sample size necessary to estimate the mean IQ score of statistics students. Suppose we want to be 90% confident that our sample mean is within 2 IQ points of the true mean. Assume then that σ = 15 and determine the required sample size .

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Answer:

First Graph: the function is symmetrical around y axis -> Even

Second Graph: the function is neither

Of the 250 total shirts about, the quantity of shirts that should be red would be = 125.

The total quantity of shirts that was ordered by Mr. Torres = 250 school t-shirts

The total quantity of red shirt selected at random = 5

The total quantity of blue shirt selected at random = 13

The total quantity of grey shirt selected at random = 12

Total selected at random = 30

Now if 5 red shirts = 30

X red shirts = 250

make X the subject of formula;

X = 15× 250/30

X = 3750/30

X = 125 red shirts.

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Answer:

a)

slope = (-4 cm) / (650 cm)

slope ≈ -0.00615

b)  the section of the road measured horizontally is approximately 3983.74 cm long.

Step-by-step explanation:

change in horizontal distance = (change in vertical distance) / slope

change in horizontal distance = (-24.5 cm) / (-0.00615)

change in horizontal distance ≈ 3983.74 cm

Answer:

go on

Step-by-step explanation:

¯\_(ツ)_/¯

Answer:

33.

Step-by-step explanation:

75%   x

100   44

x = (44 * 75 ) / 100 = 33.

Answer:

40 degrees

Step-by-step explanation:

Angles in a triangle add to 180 so

100+40+2x=180

140+2x=180

2x=40

x=20

2x=2(20)=40

The Answer:

Width = 6

Step-by-step explanation:

Let width be w

(3w + 8) x w = 156

3 \(w^{2}\) x 8n - 156 = 0

(w + 8 x 6) (w-6) = 0

w = 6

A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.

Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.

(a) If you decide to select based on proportion of 10% from each group, the number of patients selected from each group would be: Group A = (10/100) x 100 = 10 patients Group B = (10/100) x 30 = 3 patients Group C = (10/100) x 30 = 3 patients.

(b) The classified groups can be named as follows: Group A = 10 years of education or less Group B = More than 10 years but less than or equal to 20 years of education Group C = More than 20 years of education.

(c) The sampling method employed in the selection process was stratified sampling. Stratified sampling is a type of probability sampling technique where the population is divided into homogeneous subgroups or strata, and the researcher selects a simple random sample from each subgroup or stratum.

The researcher chooses a proportion of participants from each subgroup to represent the population as a whole, which allows for more precise estimates of the population parameters than simple random sampling.

The sample is selected randomly from the stratified sample, which ensures that the sample is representative of the population.

A variable is a characteristic or attribute that can take on different values. It is an observable and measurable property of an object or phenomenon, which can be used to describe and analyze it.

Variables are used in research to test hypotheses, determine relationships between different phenomena, and make predictions about future outcomes.

A parameter is a numerical summary of a population, which describes a characteristic of the population. It is an unknown constant that can only be estimated from a sample of data.

Parameters are used in inferential statistics to make conclusions about a population based on a sample of data.

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Answer:

A = 4.5

B = 40.5

C = 4π or 12.566

D = 16

Step-by-step explanation:

A

6 x .5 = 3

3 x .5 = 1.5

1.5 x 3 = 4.5

B

12 x 3/4 = 9

1/2 (9)(9) = 40.5

C

8 x .25 = 2

π2² = 4π or 12.566

D

24 x 1/3 = 8

6 x 1/3 = 2

2 x 8 = 16

The amount of money that Theresa has left is equal to £2,740.

In order to write a linear equation to describe this situation, we would assign variables to the cost of flights for each of them and the cost of accommodation for each of them respectively, and then translate the word problem into a linear equation as follows:

Let the variable a represent cost of flights for each of them.

Let the variable f represent cost of accommodation for each of them.

Since Theresa paid for herself and 11 friends to go on holiday with a flight cost of £339 and accommodation cost of £266, a linear equation to describe this situation is given by;

y = 12(a + b)

y = 12(266 + 339)

y = £7,260

For the amount of money left, we have:

Amount of money left = £10,000 - £7,260

Amount of money left = £2,740.

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