​the long division method to find the result when 12x^{3}+5x^{2}-27x+1312x
3
+5x
2
−27x+13 is divided by 3x-13x−1. If there is a remainder, express the result in the form q(x)+\frac{r(x)}{b(x)}q(x)+
b(x)
r(x)
​
(hope it makes sense)

Answer:

the average daily temperature in January is -4.9

The converse of the statement on shoes being clean and new is If the shoes are new, then the shoes are clean.

When converting a statement that involves two clauses to a converse statement, you should exchange the position of the two clauses to make a converse statement.

This means that if you had a statement as (if a then b) the converse statement is (if b than a). The statement, "If the shoes are clean, then the shoes are new" would then be "If the shoes are new, then the shoes are clean."

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The amount of money that Kyle will have after 5 years is $690.

From the information, Kyle invests $600 which earns 3% annual simple interest for 5 years.

The formula for the amount is given as:

A(t)=P (1+rt)

where P = principal = $600

R = rate = 3%

T = time = 5 years

This will be:

A(t)=P (1+rt)

A = 600 [ 1 + (3% × 5)]

A = 600 (1 + 0.15)

A = 600(1.15)

A = 690

The amount is $690.

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For any given Triangle ABC, its medial triangle is constructed by finding the midpoints of its three sides (Segments AB, BC, and AC) and constructing segments to join these midpoints.

An important property of the medial triangle is that it divides the original triangle into four smaller, congruent triangles that are each similar to the original triangle.

With this in mind we now that the four triangles are congruent. Then:

but we know that CF is half of BC, then:

From the figure we also notice that:

Ans that AB is twice BE, then

Summing up we have:

Answer:

102 degrees

Step-by-step explanation:

m<6 = 78,

m<5 = 102

:]

-2 - √3i is a known root not a possible root, option 4 will be the correct answer.

What are real and imaginary roots ?

A real root to an equation is a real number. A complex root to an equation is an imaginary root represented as complex numbers.

In other words real roots can be represented in a number line where as imaginary roots can not.

Here, the given root is -2 + √3i :

It is known that the complex roots comes in pairs that is in form a ±ib, where, a is real part of imaginary root and b is imaginary part.

Therefore, the other root will be -2 - √3i.

So, -2 - √3i is a known root not a possible root, option 4 will be the correct answer.

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Answer:

The Answer Is C X = 40.5

Step-by-step explanation: Half of 81 = 40.5 and 40.5 x 2 = 81 (x only multiplies 40.5 by 2 which equals 81)

Answer:341623456245

Step-by-step explanation:78325687345

The option that describes the sample you would ask is A. twenty students from one elementary class in your town.

It should be noted that a simple random sampling simply means a form of sampling whereby everybody has an equal chance of being selected.

In this case, it should be noted that the person wanted to take a simple random sample for a study on screen time in elementary school students in the town. Therefore, twenty students can be chosen to illustrate this.

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Total cost of phone in a day $650

What is Algebra ?

One of the many branches of mathematics is algebra. Algebra, which is a common thread throughout practically all of mathematics, is broadly defined as the study of mathematical symbols and the rules for using these symbols in formulas.

Total cost of rent in a day =  $500

Total cost of per phone     = $150

The equation which represents values in term of c:

             150p + 500 = C

The total cost he had in a day :

                              = 150 + 500

                              = $650

Hence, the total cost throughout  the day is $650

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Answer:36

Step-by-step explanation:

1/6 is 6

so we need to find 6/6 which would be 6×6=36

Answer: James ate more pizza by 5/12 parts.

Step-by-step explanation:

To solve let us takes the lcm of the denominators 3 and 4

which is 12.

James ate 2/3 * 4/4 = 8/12 parts

Lucas ate 1/4*3/3= 3/12 parts

now, we can see 8/12>3/12

Therefore, James ate more pizza by 8/12-3/12= 5/12 parts.

The probability that three parents are involved" in making decisions about their underage child’s healthcare treatment is 0.7787.

It should be noted that probability simply means the likelihood that something will happen.

In this case, ninety-two percent (92%) of parents/guardians surveyed indicated that they were "involved" in making decisions.

The probability of the involvement of the three parents will be:

= P(involvement)³

= (92%)³

= 0.92 × 0.92 × 0.92

= 0.7787

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Ninety-two percent (92%) of parents/guardians surveyed indicated that they were "involved" in making decisions about their underage child’s healthcare treatment, and 7% stated that they were "almost always" involved. Find the probability that three parents are involved" in making decisions about their underage child’s healthcare treatment,

The ordered pairs (-3, 2), (0, 1), (3, 0), and (6, -1) for the equation y = -1/3x+1 which satisfies the equation.

A graph can be defined as a pictorial representation or a diagram that represents data or values.

We have been given the equation:

y = -1/3x+1

When substituting the value x = -3, then get the value of y = 2

When substituting the value x = -0, then get the value of y = 1

When substituting the value x = 3, then get the value of y = 0

When substituting the value x = 6, then get the value of y = -1

The table of ordered pairs for the given equation y = -1/3x + 1.

x     y

-3    2

0    1

3    0

6    -1

The required graph has been attached below which represents the given equation.

Therefore, the ordered pairs (-3, 2), (0, 1), (3, 0), and (6, -1) for the equation y = -1/3x+1 which satisfies the equation.

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Answer:

PWP (Part Whole Postulate)

Step-by-step explanation:

Supplementary angles add up to 180 degrees. The part whole postulate states that two angles make up a whole.

Answer:

Supplement postulate

Step-by-step explanation:

Supplement Postulate:

 If two angles form a linear pair, then they are supplementary.

Answer:

y = -4

Step-by-step explanation:

first add 7y to both sides

9 = 10y + 49

second subtract 49 from both sides

-40 = 10y

flip it

10y = -40

now divide both sides by 10

y = -4

that is your answer

Answer: 7y+9=3y+49

We move all terms to the left:

-7y+9-(3y+49)=0

We get rid of parentheses

-7y-3y-49+9=0

We add all the numbers together, and all the variables

-10y-40=0

We move all terms containing y to the left, all other terms to the right

-10y=40

y=40/-10

y=-4

Answer:

x = 2

Step-by-step explanation:

-16 = -8x

divide both sides by -8:

-16/-8 = -8x/-8

x = 2

Answer:

x=2

Step-by-step explanation:

[tex]x = \frac{ - 16}{ - 8} [/tex]

[tex]x = 2[/tex]

SOLUTION:

Case: Simple equation

Given:

7x – 5 = 23 + 10

Required:

Is the equation a true statement when x = 3?

Method:

Step 1: Rewrite the equation

7x – 5 = 23 + 10

Step 2: Plug the value x= 3 into the equation

7x – 5 = 23 + 10

7(3) - 5 = 33

21 - 5 = 33

16 is not equal to 33

Final answer:

B. No, 3 is not a solution.

The total number of nuts is 15210 and the missing number is 5

Number of cans of mixed nuts = 45 cans

Number of nuts in each can = 338 nuts

The fundamental concept of repeatedly adding the same number is represented by the process of multiplication. The results of multiplying two or more numbers are known as the product of those numbers, and the factors that are multiplied are referred to as the factors.

Finding the total number of nuts we get:

Total number of nuts = Number of cans*Number of nuts in each can

[tex]338\\*45\\= 1690\\+ 13520\\= 15210[/tex]

So, the missing number is 5

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Answer: 0.01 (One cent per year)

Step-by-step explanation:

We need to find the price the stamp increased per year.

The difference in years is 12.

2004 - 1992 = 12

The difference in price is 0.12.

0.37 - 0.25 = 0.12

So to find price increase per year we do the following:

$0.12/12 = 0.01

$0.01 is one cent per year.

x° = 49°

Alternate interior angles are formed when two parallel lines are cut by a transversal and the pair of angles formed on the inner side of the parallel lines, but on the opposite sides of the transversal. These angles are equal.

Pairs of alternate angles around the transversal are equal to each other. Angles can either be alternate interior or exterior angles. Sum of the angles formed on the same side of the transversal of the two parallel lines is equal to 180°.

Given , ∠t = 49°,

Therefore angles x° will also 49° because alternate angles are equal when two parallel lines are cut by a transversal.

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Answer:

y=3x-5

Step-by-step explanation:

parallel lines have the same slope

Under the linear assumption of temperature and altitude, the temperature outside the plane is - 24 °C.

In this problem we must determine the temperature outside the plane on the assumption that the temperature decreases linearly with the altitude:

T(z) = T' + (ΔT / Δz) · z

Where:

If we know that T' = 11, Δz = 1 and ΔT = - 7, then the temperature at an altitude of 5 kilometers is:

T(5) = 11 + (- 7 / 1) · 5

T(5) = 11 - 35

T(5) = - 24

The temperature outside the plane is - 24 °C.

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The overall rating is 31 and the average rating is 3.8.

A large number of data points are reduced into a single value using averages. It is a visual depiction of all the data set's available numbers. The average is derived by adding up all the data values and dividing them by the total number of data points.

The word "average" is used in many different contexts in daily life. The average is computed and a single value is used to represent the values for quantities with fluctuating values.

Overall rating = 4+5+5+3+5+4+2+3

Overall rating = 31

Average rating = Overall rating/ Total number of ratings

= 31/8

= 3.8

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The value of d to the power of 6 and d to the power of 0 equal together is d^6.

The exponent is the number of times that a number is multiplied by itself. It should be noted that the power is an expression which shows the multiplication for the same number. For example, in 6⁴ , 4 is the exponent and 6⁴ is called 6 raise to the power of 4.

The information given regarding the power is illustrated thus:

d^6 + d^0

In this case, the addition of the power will be 6 + 0 = 6. Therefore, the value is d^6.

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Explanation:

The term angle of depression is defined as the angle from the horizontal line downward to an object. An observer's line of sight would be below the horizontal.

For angle of elevation, an observer's line of sight would be above the horizontal.

According to the diagram shown; The diagram with angle 27degrees models angle of depression while that of angle 25 degrees models an angle of elevation.

Answer:

x = 1

Step-by-step explanation:

3x + 2 = 5

3x + 2 - 2 = 5 - 2

3x = 3

3x/3 = 3/3

x = 1

Hope this helps! :)

Answer:

I think it's A, hope this helps