What is the slope of this line? (5 points)
Show all work.

Answer:

So the correct expansion of (4x + 1)(2x7 - 2) is 8x^27 - 8x2 + 2x7 - 2

Step-by-step explanation:

When expanding an algebraic expression like (4x + 1)(2x7 - 2), you can use the distributive property to find the product of each term in the first set of parentheses with each term in the second set of parentheses, and then add them together. The distributive property is the process of multiplying one term in the parentheses by each of the terms outside the parentheses.

Here is the correct expansion of (4x + 1)(2x7 - 2):

(4x + 1)(2x7 - 2) = 4x(2x7) + 4x(-2) + 1(2x7) + 1(-2)

= 8x^27 + -8x2 + 2x71 + -21

= 8x^27 + -8x2 + 2x7 + -2

= 8x^27 - 8x2 + 2x7 - 2

So the correct expansion of (4x + 1)(2x7 - 2) is 8x^27 - 8x2 + 2x7 - 2

It's important to note that you can also use FOIL method which is the acronym for the steps of the distributive property, First, Outside, Inside, Last.

Answer: x=9

Step-by-step explanation:

Here the given angles are,

50,80,6x-4

The sum of the angles of a triangle is 180 degrees and hence

50+80+6x-4=180

130+6x-4=180

126+6x=180

6x=180-126

6x=54

x=54/6

x=9

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The solution of the fraction 3/4 is 0.75

The term fraction is defined as represent the parts of a whole or collection of objects

Here we have given the fraction 3/4.

Now, we have to do the following steps in order to find the decimal equivalent for the fraction.

First of all we just need to divide the numerator by the denominator.

Then we get the fraction is 3/4 which means we need to divide: 3 ÷ 4.

The division process is illustrated on the following image.

Then the decimal equivalent to the fraction written as 3/4 is expressed as 0.75 in the decimal form.

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6th terms of given geometric progression whose common ratio is 3/2 and first term is 4  is 243/8 using the farmula ar^(n-1).

What is a geometric sequence?

A mathematical sequence known as a geometric progression (GP) is one in which each following phrase is generated by multiplying each preceding term by a fixed integer, or "common ratio." This progression is sometimes referred to as a pattern-following geometric sequence of numbers. Learn development in mathematics here as well. Here, each phrase is multiplied by the common ratio to generate the subsequent term, which is a non-zero value. A geometric series with a common ratio of 2 is 2, 4, 8, 16, 32, 64, etc.

Geometric Progression takes the following general form: a, ar, ar^2, ar^3, ar^4,..., ar^(n-1).

a = First term where

The common Ratio is r.

nth term = ar^(n-1)

6th terms ar^(6-1) = ar^5.

given is that r =3/2. a = 4.

6th term = 4 * (3/2)^5

= 4 * 3^5/2^5

=4*243/4*8

=243/8.

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The mean of negatively skewed data is smaller than the median. If the data are displayed symmetrically, the distribution is not skewed regardless of tail length or thickness. So, option d. is correct.

A skew curve is a type of statistical distribution in which the data are unevenly distributed. This is often called an asymmetric distribution, meaning that the two halves of the curve look different. A skewed curve can be either positively or negatively skewed, depending on the direction in which the data points are shifted. Positively skewed curves tend to have long tails to the right, while negatively skewed curves tend to have long tails to the left. This type of distribution is common in real-world data such as income and wealth distributions.

A negatively skewed curve is indicated by the negative tail of the chart. This means that the data points are likely to be below average. Therefore, the mean is lower than the mode, which is lower than the median. The mean is the arithmetic mean of all data points, the mode is the most common value, and the median is the midpoint of the data points.

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Answer:

Step-by-step explanation:

the formula for the slope is y2 - y1 / x2 - x1

so 1 - 0 / -3 --3/7

on the calculator

- 7 / 18

Answer:

A right triangle equals to 90 degress, and has 2 equal angles.

Example: 20 degress, 20 degrees and 50 degress could make a right triangle.

I hope this helps you!

Answer:yes

Step-by-step explanation:

yes

Answer:

Starbursts = 12 dollars

M&M = 2 dollars

1. Make Startbursts and M&Ms into "x"

(a) 1x + 2x = 12

2. 3*1= 3

4+2x=12

(b) 4 packs

The perimeter of a trapezoid is 28ft.

An isosceles trapezoid is a trapezoid whose non-parallel sides (the legs) are equal in length.

The perimeter of an  isosceles trapezoid (P) = a + b+ 2c

where a is the top, b is the bottom, and c is the leg of the trapezoid

According to the question,

perimeter = 38ft

leg of an isosceles trapezoid = 8ft

        38 = a +b +2 × 8

    ⇒ 38 = a+b +16

   ⇒a +b = 38 -16

    ⇒a +b = 22

Another similar trapezoid has a leg measuring 3ft.

Perimeter of this trapezoid is =( 22 + 2× 3) ​ft

                                                   = (22 +6)ft

                                                   = 28 ft

So, the perimeter of a trapezoid is 28ft.

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The polynomials which, when added to the polynomial 3x²+3x-1, is equivalent to the following expressions: 1, 2x²-3, and x+5 include the following below:

This is referred to as algebraic expressions that consist of variables and coefficients.

For 1; it is calculated as:

3x²+3x-1 + P = 1.

P = 2 - 3x² -3x.

For 2x²-3, it is calculated as:

3x²+3x-1 + P = 2x²-3

P = -2 -x² -3x

For x +5; it is calculated as:

3x²+3x-1 + P = x +5

P = 6 -2x -3x².

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The full question is:

Find a polynomial which, when added to the polynomial 3x^2+3x-1, is equivalent to the following expressions: 1, 2x^2-3, and x+5

Answer:

-0.3999... = -⅖

-0.393939... = -13/33

Step-by-step explanation:

Only ones I could think of.

Answer:

-39/100

Step-by-step explanation:

"For all finance workers, 20% will have a tattoo" is the best interpretation of the probability 0.20.

The field of mathematics concerned with probability is known as probability theory. Although there are various distinct interpretations of probability, probability theory approaches the idea rigorously mathematically by articulating it through a set of axioms. The probability is a measure of the possibility that an event will occur. It assesses the event's certainty. P(E) = Number of Favourable Outcomes/Number of Total Outcomes is the probability formula. A probability is a number that represents the possibility or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.

This can be calculated by taking the number of finance workers with tattoos and dividing it by the total number of finance workers, and then multiplying by 100 to express the result as a percentage.

(Number of finance workers with tattoos / Total number of finance workers) x 100 = 20%.

Here,

"20% of all finance workers will have a tattoo," is the best explanation of the probability 0.20.

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Complete question: A financial analyst reports that for people who work in the finance industry, the probability that a randomly selected person will have a tattoo is 0.20.

Which of the following is the best interpretation of the probability 0.20 ?

A- For all workers in the United States, 20% will work in finance.

B- For all finance workers, 20% will have a tattoo.

C- For all people with tattoos, 20% will work in finance.

D- For a specific group of 5 finance workers, 1 will have a tattoo.

E- For a specific group of 5 people with a tattoo, 1 will work in finance.

Yes, the lengths of the two sides of an isosceles triangle are equal.

An isosceles triangle is a type of triangle that has two sides that are equal in length. The other side of the triangle can be either longer or shorter than the two equal sides. The two equal sides are called the legs, and the other side is called the base. The angles opposite the two equal sides are also equal in measure. Because of this, the two equal sides create an angle bisector that divides the base into two equal parts. This angle bisector forms two angles of equal measure as well. Thus, the two equal sides of an isosceles triangle are a defining feature of the shape.

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Answer:

15

Step-by-step explanation:

to determine the number of plants per row, take the square root of 225

sqrt(225) = 15

There should be 15 plants per row

Answer:

Step-by-step explanation:

Since the formation of the strawberry plants should represent a square, it implies that the dimensions of the formation (i.e length and breadth) must be equal.

To achieve this, we have to calculate its square root as the formula for the area of any square is given as (side)^2.

Now, [tex]\sqrt{225}[/tex] = 15

implies that each as well as each column will contain 15 strawberry plants  

Answer: B

Step-by-step explanation:

Based on the graph, we know that it is increasing if it is going up from left to right.

A: incorrect

Looking at choice A, it says the interval is from -5<x<-4. This means we have to find x=-5 and x=-4. On the graph, that interval is going down from left to right, so it is decreasing.

B: correct

Looking at choice B, it says the interval is from -2<x<2. This means we have to find x=-2 and x=2. On the graph, that interval is going up from left to right, so it is increasing.

C: incorrect

Looking at choice C, it says the interval is from 3<x<4. This means we have to find x=3 and x=4. On the graph, that interval is going down from left to right, so it is decreasing.

Therefore, B is the correct answer.

x² + 4x + 4, this is a perfect square trinomial, which is expressed as

(x + 2)²

Trinomials are algebraic formulas that include three dissimilar terms, therefore the name "trinomial."

An algebraic expression called a trinomial contains three terms that are non-zero. Trinomial expression illustrations: The trinomial x + y + z has three variables: x, y, and z.

A trinomial is formed when three monomials are added together or subtracted from one another. A quadratic trinomial has the following form: ax² + bx + c, where a, b, and c are real, non-zero values.

Given that,

x² + 4x + 4

= (x)² + 2(2x) + 4

= (x)² + 2(x)(2) + 2²

This is similar to a² + 2ab + b² = (a + b)²

so, we can write:

= (x + 2)²

= (x + 2) (x + 2)

so, this is a perfect square trinomial.

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Answer:

9 loaves of bread

Step-by-step explanation:

We know

8 days = 6 loaves of bread

1 day = 0.75 loaves of bread

12 days = 0.75 x 12 = 9 loaves of bread

So, she should pack 9 loaves of bread for a 12-day hiking trip.

Answer: Kendra will need to back 9 loaves of bread for a 12 day hiking trip.

Step-by-step explanation:

Alright, the first step to solve any math problem is to take a look at the information we have. We know that Kendra has eaten through 6 loaves over the course of 8 days. We want to know how much bread she needs if she takes a 12 day hiking trip.

Because she's eating the same amount of bread each day, we need to find out how much of a loaf she eats daily. In order to find that number, we have to divide. In this case, it would be 6/8. (Amount of bread she has/Time taken to eat that bread).

This gives us 0.75. This means that Kendra eats 0.75 of a loaf of bread daily. In order to find out how much bread she needs for a 12 day hiking trip, all we have to do is multiply by 12.

0.75 * 12 = 9.

Kendra will need to back 9 loaves of bread for a 12 day hiking trip.

P.S. You could also do this with fractions by simplifying 6/8 to 3/4 (divide the numerator and denominator by 2, as they're both divisible by 2), and then multiply like 12 in the same way. They both yield the same answer, so it's a matter of preference. I used decimals as I found them easier to work with!

The point that is -2 on the number line is point B. Option B

We know that the number line can be taken as a representation of the numbers. We ought to know that the numbers that we find on the number line are the numbers that are increasing to the right as shown.

In the question that we have, the task that is before us is that we should be able to locate the point on the number line that has been labelled as -2 on this the point B non the line. This is the point that is read off as -2.

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Answer:

It's B, -2, v/5 4, and 3².

Answer:

Irrational

Step-by-step explanation:

it equals 6.7 which is not a perfect square

Answer:

c = √52

Step-by-step explanation:

applying pythagoras theorem: a² + b² = c²

where 'a' and 'b' are legs and 'c' the hypotenuse.

Substitute values:

6² + 4² = c²

c² = 36 + 16

c² = 52

c = √52

9.6 quarts

First, find the unit rate, which is that when you divide 16 and 5 and you will get 3.2, then you multiply it with 3 for the 3 flower pots, and that's how you end up with the answer

Therefore , the solution to the given problem of unitary method comes out to be he will have $870.

The unit method is a method of problem-solving that entails calculating the variable of one unit, multiplying that value, and then calculating the required value. To describe it simply, the unit method is employed to obtain a single entity value from a specified multiple. One pen costs 400 rupees, thus 40 needles would cost 400 rupees. There might be a regular procedure for doing this out. merely one nation. anything containing a distinctive component. Logic of matrices or operators, algebra, mathematical analysis, and its adjoint and reciprocal are all equivalent.

Here,

To address the issue,

if the person gets a gross biweekly salary of $840 and claims 2 extra withholding allowances,

their take-home pay would increase by $30.

thus,

They will have 840 + 30 = $870

Therefore , the solution to the given problem of unitary method comes out to be he will have $870.

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The ratios equivalent to 2:14 are 3:21 and 16:112. Option A &C

Equivalent ratios are the ratios that are the same when we compare them. Two or more ratios can be compared with each other to check whether they are equivalent or not. For example, 1:2 and 2:4 are equivalent ratios.

2:14 = 2/14

Reducing 2/14 to the lowest terms = 1/7

2:14 is equivalent to 1:7

3:21 = 3/21 = 1/7

Reducing 3/21 to the lowest terms = 1/7

3:21 is equivalent to 1:7

1:2 = 1/2

1:2 is not equivalent to 1:7

16:112 = 16/112 = 1/7

Reducing 16/112 to the lowest terms = 1/7

16:112 is equivalent to 1:7

Hence, 2:14, 3:21 and 16:112 are all equivalent ratios

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The 4 steps in solving simple problems in mathematics is explained below.

According to the author called Polya created his famous four-step process for problem solving that one is used all over to aid people in problem solving

The first and foremost Step is to understand the problem which includes identification of  the unknowns and figure out what the problem tells you is important and then we have to identify any information that is irrelevant to the problem.

Then the nest step is to Devise a plan which means that Look for a pattern and then by using it we have to make a table, diagram or chart and then write an equation.

Then we have to move onto the next steps that is to carry out the plan which means the process of solving the question.

Then the final step is to Look back problem that is none other than check and interpret its reliability of the solution

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The scale factor of segment AB was 1.94.

Scale factor is a number by which a given set of measurements is multiplied in order to increase or decrease the size of the measurements. It can be used to enlarge or reduce the size of an object, image, or diagram. It is a useful tool in many areas of mathematics, including geometry, engineering, and computer graphics.

The scale factor for segment AB can be found by taking the ratio of the lengths of the two segments. To calculate this, use the distance formula to find the length of segment AB and A'B' and set them equal to each other.

The distance formula is: d = √[(x2-x1)^2 + (y2-y1)^2]

The coordinates of A and B are (0, 0) and (6, 9), respectively. The coordinates of A' and B' are (0, 6) and (6, 9), respectively.

For segment AB, the distance formula becomes: d = √[(6-0)^2 + (9-0)^2], which simplifies to d = √[36 + 81], which simplifies to d = √117.

For segment A'B', the distance formula becomes: d = √[(6-0)^2 + (9-6)^2], which simplifies to d = √[36 + 9], which simplifies to d = √45.

The scale factor is then found by taking the ratio of the two distances, √117/√45, which simplifies to √117/3, or approximately 1.94. Therefore, the scale factor of segment AB was 1.94.

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Answer: 8 products in 1 minute

Step-by-step explanation:

6 min=48 products

48/6=8

1 min= 8 products

The given triangles are congruent by SAS criteria.

Congruent triangles have both the same shape and the same size.

Given are two right angled triangles as shown in the image.

In the right angled triangles -

Two corresponding sides are equal.

They both have one right angle common.

We can conclude them as congruent by SAS Rule.

Therefore, the given triangles are congruent by SAS criteria.

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Answer:

y > 14/3

Step-by-step explanation:

-3y<-14

Divided both sides by -3. Because divided by a negative number, the < will switch to the >

y > 14/3

Given the surface area of the sphere, and the formula for the surface area, the value of the radius is 11 cm

The radius of the sphere allows for the surface area of the sphere to be calculated, with the formula 4 πr².

Given that the surface area of the sphere is 484 π cm then the radius can be found to be :

484 π = 4 πr²

r ² = 484 π / 4 π

r ² = 121

The value of the radius would then be:

r ² = 121

r = √ 121

r = 11 cm

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