Write complex number in standard form.

Function: A function is a mathematical relationship between two sets of values, where each element in the first set (called the domain) is related to exactly one element in the second set (called the range). A function can be represented by a formula, equation, or graph, and it describes how one set of values is related to another.

Domain: In a function, the domain is the set of all possible values that can be used as input for the function. It is the set of values that the function operates on.

Range: In a function, the range is the set of all possible values that can be produced as output by the function. It is the set of values that the function produces as a result of operating on the domain.

Vertical line test: The vertical line test is a method used to determine whether a graph represents a function.

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Answer: four textbooks

Step-by-step explanation:

The combined mass of the compounds is 13/12 grams

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

3/4 gram sodium chloride and 1/3 gram potassium chloride

The combined mass of the compounds is then calculated as

Combined mass = sodium chloride + potassium chloride

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

Combined mass = 3/4 + 1/3

Evaluate the sum

Combined mass = 13/12

Hence, the combines mass is 13/12 grams

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Answer:

k=4

Step-by-step explanation:

[tex] \frac{1}{2} k - \frac{4}{1} k = - 8 - 6[/tex]

[tex] \frac{(1 \times 1) - (4 \times 2)}{(2 \times 1)} k = - 14[/tex]

[tex] \frac{1 - 8}{2}k = - 14[/tex]

[tex] - \frac{7}{2} k = - 14[/tex]

[tex] \frac{ - \frac {7}{2} }{ - \frac{7}{2} }k = \frac{ - 14}{ - \frac{7}{2} } [/tex]

[tex]k = 4[/tex]

Answer:

6 is the missing number

Step-by-step explanation:

Solve what is inside of the parenthesis, then evaluate.

N x (8) = (30) + (18)

8N = 48

Solve for N.

N = 48/8

N = 6

1. The number that must be multiplied by (5x + 6) to result in the expression 20x + 24 is 4.

2. An expression representing the miles driven on each day of the road trip and a final simplified expression of the total drives in three days are as follows:

a) Day 1: x

b) Day 2: 2x + 10

c) Day 3: x - 100

d) Final simplified expression to represent total miles driven in three days: 4x + 10 - 100.

e) A real-world situation in which order matters when writing the expression x - 100 is that the value of x is supposed to be more than the value of 100.

A mathematical expression is the combination of constants, numbers, mathematical operators, and variables without the equation sign (=).

Literarily, a mathematical expression is like a phrase in the English language because it does not make complete sense without the equation sign.

1) Multiplication:

(20x + 24) ÷ (5x + 6) = 4

Check:

4(5x + 6) = 20x + 24

2) Road Trip Expressions:

Day one driving distance = x miles

Day two driving distance = 2x + 10

Day three driving distance = x - 100

Total distance = x + 2x + 10 + x - 100

= 4x + 10 - 100

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To determine how much it will cost Aftab to buy enough concrete slabs to make the patio, you will need to know the size of the patio and how many slabs are needed to cover it. Once you have this information, you can multiply the number of slabs by the cost per slab to find the total cost. For example, if the patio is 10 square meters and requires 20 concrete slabs to cover it, the total cost would be 3.10 * 20 = £62.

The common denominator of the given expression is 5y+6.

Division is the process of splitting a number or an amount into equal parts.

here, we have,

Given expression,

(y+(y-3)/3)/(5/9+2/3y)

We have to find the common denominator.

On solving the numerator and denominator of the  given expression,

=3y(4y-3)/5y+6

Hence the common denominator of the above expression is given by 5y+6

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Answer:

7/8 x 14= 12.25 or 49/4 or 12 1/4

(3/8 x 6) + 2 1/5= 4.45

(hope this helps I probably wasn't fully understanding)

Julian uses ordered pairs to record the temperature variations over time during a chemistry experiment (time in minutes, temperature in °C). (0, 15), (5, 20), (10, 50), (15, 80), (20, 100), (25, 100) (25, 100).

It is the cause that is the independent variable. Its worth is unrelated to other study variables. The effect serves as the dependent variable. The independent variable's modifications determine its value. It is a thing that is dependent on other things. The amount of study you did, how much sleep you had the night before the test, or even how hungry you were when you took it.

Could all affect your test result, which makes it a dependent variable. The dependent variable is impacted by the independent variable. For instance, your exam results are influenced by how much sleep you get (an independent variable) (dependent variable). This is understandable, but Ex. How much sleep you get depends on your test results.

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Answer: x=3

Step-by-step explanation:

5x=7x-6

6+5x=7x

6=7x-5x

6=2x

solve for x which x=3

Answer:

x = 3

Step-by-step explanation:

Set the equations equal to each other:

5x = 7x - 6

Isolate the variable, x. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& Roots)

Multiplications

Division

Addition

Subtraction

~

Subtract 7x from both sides of the equation:

[tex]5x (-7x) = 7x (-7x) - 6\\5x -7x = -6\\-2x = -6[/tex]

Next, divide -2 from both sides of the equation:

[tex]\frac{-2x}{-2} = \frac{-6}{-2}\\ x = \frac{-6}{-2}[/tex]

*Remember that, when you divide two negative numbers, your answer will be positive:

[tex]x = \frac{-6}{-2} = 3[/tex]

3 is your answer for x.

x = 3.

~

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Comparing the parabola's equation to the formula [tex]y = ax^2 + bx + c[/tex] in standard form is the first step. In step 2 Apply the formula h = -b/2a to find the vertex's x-coordinate. In step 3 Substitute x = h in the expression [tex]y = ax^2 + bx + c[/tex]  to obtain the vertex's y-coordinate (k).

The equation of the parabola's axis of symmetry is the vertex's x-coordinate. The axis of symmetry for a quadratic function in standard form, [tex]y = ax^2 + bx + c[/tex] is a vertical line, [tex]x=b^2a[/tex].

The intersection of two lines or rays that create an angle is known as the vertex of the angle.

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Answer:

Step-by-step explanation:

ur STUP1d

An acute triangle is made up of three acute angles. An obtuse triangle is formed by one acute angle and two obtuse angles and x = 9.7692307692

Three sides and three vertices make up a triangle, which is a polygon. It is among the fundamental forms in geometry. Triangle ABC is a graphical representation of a triangle having vertices A, B, and C. In Euclidean geometry, any three points identify a distinct triangle and, concurrently, a distinct plane if they are not collinear.

13x + 3 + 40 + 10 = 180

13x = 127

x = 9.7692307692

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a) Probability of student passed in English and Accounting [tex]= \frac{21}{50}[/tex]

b)  Probability of  Number of Student passed Accounting [tex]=\frac{3}{5}[/tex]

c)  Given that student passed Accounting. Probability that they passed English = [tex]\frac{9}{125}[/tex]

The ratio of favorable outcomes to all possible outcomes of an event is known as the probability.

Here let us assume the Total Number of students is 100.

Students who passes in English = 60% of total number of students  

                                                   =  [tex]60*100/100=60[/tex]

Students who passes in English = 60.

Out of 60 students , 70% of 60 pass in Accounting = [tex]70/100*60=42[/tex]

So Student who passed in both English and Accounting = 42.

Also Number of student that do not passed in English = 100 - 60 = 40.

Out of these 40 students , 45% passes in Accounting = [tex]45/100*40=18[/tex]

So Number of student pass in Accounting but not in English = 18.

Total Number of student pass in Accounting = 42 + 18 = 60.

A) Number of student passed in English and Accounting = 42

   Total Number of student = 100

   Probability of student passed in English and Accounting= [tex]\frac{42}{100} = \frac{21}{50}[/tex]

B) Total Number of Student passed Accounting = 60

    Total Number of student = 100

    Probability of  Number of Student passed Accounting = [tex]\frac{60}{100} = \frac{3}{5}[/tex]

C) Probability that student passed Accounting = 60/100.

    Probability that student passed English = 60/100.

Given that student passed Accounting. Probability that they passed

 English = [tex]\frac{60}{100} * \frac{60}{100} = \frac{3600}{10000} = \frac{9}{125}[/tex]

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Answer:

dddd

Step-by-step explanation:

Answer:

It is not possible to find the greatest common factor of 3x.

Step-by-step explanation:

The greatest common factor (GCF) of a set of numbers is the largest number that divides into all of the numbers in the set.

In this case, you have provided a variable, 3x, and not a set of numbers. Therefore, it is not possible to find the greatest common factor of 3x.

If you have a set of numbers that you would like to find the greatest common factor of, please let me know and I will be happy to help.

Answer: 7t+7

Step-by-step explanation: i know

Well, both 4t and 3t have the same variable so add them together to get 7t, then add 4 and 3 to get 7, so your fill in the blank should be 7t+7

Answer:

t = 0.5 seconds

Step-by-step explanation:

Given formula:

[tex]h=-16t^2+s[/tex]

where:

Dan drops the treat 5 feet above the ground.

Therefore, when t = 0, h = 5 ft.  

To find the value of s, substitute these values into the given formula:

[tex]\implies -16(0)^2+s=5[/tex]

[tex]\implies s=5[/tex]

Therefore:

[tex]h=-16t^2+5[/tex]

To calculate how long the treat falls before Lola catches it, substitute h = 1.5 into the formula:

[tex]\implies -16t^2+5=1.5[/tex]

[tex]\implies -16t^2=-3.5[/tex]

[tex]\implies t^2=0.21875[/tex]

[tex]\implies t=\sqrt{0.21875}[/tex]

[tex]\implies t=\pm0.467707173...[/tex]

[tex]\implies t=\pm0.5\; \; \sf (nearest\;tenth)[/tex]

As time is positive, t = 0.5 seconds (nearest tenth) only.

Therefore, it took 0.5 seconds for Lola to catch the treat after it fell.

Answer:

70

Step-by-step explanation:

Well -37 plus 70 would give you 33, so therefore 70 is the answer. You can also check your answer by subtracting -37 from 33 which would give you 70.

Simplifying the expression, the answer would be -7x+1

Solution

3 (x+2) - 5 (2x+1)

3x + 6 - 10x -5

COLLECT LIKE TERMS

3x - 10x + 6 - 5

= -7x+1

Answer:y=

Step-by-step explanation:Firstly let's find the slope which is (7-7)/(4-(-3))=0. Using the point slope formula y-y1=m(x-x1) we plug in one of the points and simplify y-7=0(x-4). Simplifying and solving for y gives us y=

Answer:

x = 12 and y = 11

Step-by-step explanation:

4x+3y=-15 -----equation 1st

4x-y = -27 ____equation 2nd

then,

Multiple equation second by 3 and slove it with equation first

4X +3Y = -15

12X -3Y = -81 (Multiples it with 3)

-8x = -96 (subtracted)

x=-96/-8

therefore, x=12

again,

from equation first

4x+3y = -15

or 4 × 12 + 3y = -15

or 3y = -15+48

or 3y= 33

or y=33/3

therefore, y =11

I hope this helps. If you have any doubt feel free to ask!!

Answer:

x = -6,  y = 3

Step-by-step explanation:

1)  4x + 3y = -15

2)  4x - y =  -27

     0 + 4y = 12       subtract equation (2) from equation (1)

4y = 12

y = 12/4 = 3         substitute y = 3 into either equation 1 or 2 and solve for x

4x + 3(3) = -15

4x = -24

x = -6

Check your answers by plugging x = -6, y = 3 into the equations:

4(-6) + 3(3) = -15   correct!

4(-6) - 3 = -27        correct!

Answer:

The answer is 0.26.

I wish you luck on your assignments.

Answer: 0.26

Step-by-step explanation:

1. The hundredths place is two digits from the decimal point

2. Look at the thousandths place and if it is larger or equal to 5 then we round up, otherwise we round down and the hundredths digit remains the same

3. 7 is larger than 5 therefore the hundredths place digit of 5 rounds to a 6

4. Our final answer is 0.26

Answer:

371 children

Step-by-step explanation:

289*$2,5 + 371*$1,5 = $1279

The slope of the lines that passes trough the points (-2,-1) and (-4,-7) is m = 3 , (2,-3) and (6,-13) is m = -2.5 , (-3,4) and (-3,-8) is m = undefined , (-5,7) and (3,-1) is m = -1 .

What is slope ?

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.

A line's steepness can be determined by looking at its slope. Slope is calculated mathematically as "rise over run" (change in y divided by change in x).

The ratio of the increase in elevation between two points to the run in elevation between those same two points is referred to as the slope.

The slope-intercept form of an equation is used whenever the equation of a line is expressed in the form y = mx + b. M represents the line's slope. B is the b in the location where the y-intercept is located (0, b).

           m=Δy/Δx

           m=(y2−y1)/(x2−x1)

           m=(−7−−1)/(−4−−2)

           m=−6/−2

           m = 3

          m=Δy/Δx

          m=(y2−y1)/(x2−x1)

          m=(−13−−3)/(6−2)

          m=−10/4

          m=−5/2

          m = -2.5

           m=Δy/Δx

           m=(y2−y1)/(x2−x1)

           m=(−8−4)/(−3−−3)

           m=−12/0

          m is undefined

            m=Δy/Δx

            m=(y2−y1)/(x2−x1)

            m=(−1−7)/(3−−5)

            m=−8/8

            m = -1

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Answer:

  c : d : u = 8 : 6 : 27

Step-by-step explanation:

Given c:d = 4:3 and d:u = 2:9, you want c:d:u.

To write the desired ratio, we need to convert the others so they have the same number of ratio units representing 'd'. That number can be the least common multiple of 3 and 2, which is 6. Knowing this, we can write ...

  c:d = 4:3 = 8:6

  d:u = 2:9 = 6:27

Then the desired ratio is ...

  c:d:u = 8:6:27