A company sold 7.1 million items in a two-year period. Sales increased by 100,000 the second year. How many were sold the second year?

Answer:

2/3

Step-by-step expl anation:

Answer:

Line B

Step-by-step explanation:

Rise over Run, rise -2 run 1.

In any Hilbert plane, given parallel lines l and m and points A and B on opposite sides of line m, it can be proven that A and B lie on the same side of line l.

Since l and m are parallel lines, they will never intersect. Thus, there are two cases to consider:

Case 1: A and B are on the same side of line m. In this case, A and B are also on the same side of line l, which contradicts our assumption.

Case 2: A and B are on different sides of line m. Since A and B are on opposite sides of line m, there must exist a point P on line m such that A and P are on opposite sides of m, and B and P are on opposite sides of m. However, since A and B are on opposite sides of line m, this implies that A and B are on the same side of line l, which again contradicts our assumption.

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Time taken by Matilda on each project is \(5\frac{7}{12}\) hours.

According to the question we have been given that,

Total time taken by Matilda to complete the consulting projects = \(16\frac{3}{4}\) hours

First we will convert it into simple fraction which is

         \(16\frac{3}{4} = \frac{67}{4} \\\) hours

Number of consulting projects = 3

And Matilda spends same amount of time to each of the project.

To find the time she spend on each project is by using unitary method

that is,            3 projects = \(\frac{67}{4}\) hours

                      1 project = \(\frac{67}{4} / 3\)

                                     = 67/12

                                     = \(5\frac{7}{12}\) hours

Hence time taken by Matilda on each project is \(5\frac{7}{12}\) hours.

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Answer:

The least common denominator of the expression is 72g.

Step-by-step explanation:

First, let us write the expression out mathematically

\(\frac{g^{2} }{9} - g^{2} + 14 + \frac{g}{24g} + 8g^{2}\)

The denominators in the expression are 9 and 24g. To find the least common denominator, we will determine the least common multiple of the numbers (9 and 24) first, and then find the least common multiple of the result and g (since it is the only letter).

Multiples of 9 = 9, 18, 27, 36, 45, 54, 63, 72, 81, 90, ...

Multiples of 24 = 24, 48, 72, 96, ...

The least common multiple of 9 and 24 is 72.

Then, the least common multiple of 72 and g is 72g

Hence, the least common denominator of the expression is 72g.

Answer:

1

Step-by-step explanation:

Should be -3 if i am correct.

As per the ratio, the number of men on the sight-seeing tour is 4.

In the given sight-seeing tour, we are told that there were 14 people in total. We are also given the ratio of women to children, which is 5 to 2. This means that for every 5 women on the tour, there were 2 children.

To find the number of men on the tour, we need to first find the number of women and children. We can do this by dividing the total number of people by the ratio of women to children.

Let's use a variable to represent the number of sets of 5 women and 2 children. We'll call this variable "x".

So, the number of women on the tour is 5x and the number of children is 2x.

Now, we can set up an equation to find the value of x:

5x + 2x = 14

This equation represents the total number of women and children on the tour, which is equal to 14.

Simplifying the equation, we get:

7x = 14

Dividing both sides by 7, we get:

x = 2

This means that there were 2 sets of 5 women and 2 children on the tour. So, the number of women is:

5x = 5(2) = 10

The number of children is:

2x = 2(2) = 4

Now, we can find the number of men by subtracting the number of women and children from the total number of people:

14 - 10 = 4

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Answer:

y=1/3 + 3

Step-by-step explanation:

y= 1/3x + b

(1) = 1/3(-6) + b

1 = -2 +b

3 = b

y=1/3 + b

The volume of the resulting solid is (26π/3) cubic units.

To find the volume of the solid generated by rotating the region bounded by the curves x = (y - 6)², x = 25, about the axis y = 1, we will integrate the cylindrical shells along the y-axis.

The limits of integration for y are from y = 1 to y = 11, as determined earlier.

The differential volume of a cylindrical shell is given by dV = 2πrh dy, where r is the distance from the axis of rotation to the curve, h is the height of the cylindrical shell, and dy is the thickness of the shell.

In this case, the radius of the cylindrical shell is r = 1, and the height of the cylindrical shell is h = x₁ - x₂ = 25 - (y - 6)².

Thus, the differential volume becomes dV = 2π(1)(25 - (y - 6)²) dy.

We can now integrate this differential volume over the range of y = 1 to y = 11 to find the total volume V:

V = ∫[1,11] 2π(25 - (y - 6)²) dy

Expanding and simplifying the integral:

V = 2π ∫[1,11] (25 - (y - 6)²) dy

V = 2π ∫[1,11] (25 - (y² - 12y + 36)) dy

V = 2π ∫[1,11] (25 - y² + 12y - 36) dy

V = 2π ∫[1,11] (-y² + 12y - 11) dy

Integrating the terms individually:

V = 2π [-y³/3 + 6y² - 11y] |[1,11]

V = 2π [-(11³/3) + 6(11²) - 11(11)] - [-(1³/3) + 6(1²) - 11(1)]

V = 2π [-1331/3 + 726 - 121] - [-1/3 + 6 - 11]

V = 2π [-1331/3 + 726 - 121 + 1/3 - 6 + 11]

V = 2π [-604/3 + 616 + 1/3]

V = 2π [13/3]

Simplifying further:

V = (26π/3)

Therefore, the volume of the resulting solid is (26π/3) cubic units.

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Answer:

t he answer is the last option

Answer:

a=2

b=93

I hope this helps you

Step-by-step explanation:

Answer:

1. 2  

2. 93

Step-by-step explanation:

First we have to put the values of x and y into the equation

4(3)-2(5)

(4×3)-(2×5)

12-10=2

Now the second one

2(3)²+3(5)²

18+75=93

The length of the outer perimeter of the square shown in the diagram is 24 m

From the question, we are to calculate the outer perimeter of the square

To calculate the outer perimeter of the square, we will sum the length of the sides of the square which are outside.

From the given diagram, only two side of the given square are outside

Also,

From the given diagram, the length of one side of the square is 12 m,

Thus,

The outer perimeter of the square = 12 m + 12 m

The outer perimeter of the square = 24 m

Hence, the outer perimeter is 24 m

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Answer:

380.68

Step-by-step explanation:

Answer: -5/3

Step-by-step explanation:

Answer: m = -4/3

Step-by-step explanation:

If you're given two different coordinates, and you want to find the slope, the general rule is that you subtract the first coordinates from the first. The formula for these kinds of problems is \(\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\) .

Option D cannot be evaluated to determine if -286 is its 50th term.

Based on the information provided, none of the given sequences can be identified as having -286 as its 50th term.

Let's evaluate each option to determine which sequence has -286 as its 50th term.

A) An alternating geometric sequence where the 43rd term is 4 and the 45th term is 16:

To determine the common ratio, we divide the 45th term by the 43rd term:

16 / 4 = 4.

Since this is an alternating geometric sequence, the terms alternate between positive and negative. However, since the common ratio is positive, this sequence will only have positive terms.

Therefore, option A cannot have -286 as its 50th term.

B) An arithmetic sequence where the 5th term is 7 and the 6th term is 10:

To determine the common difference, we subtract the 5th term from the 6th term:

10 - 7 = 3.

To find the 50th term, we use the formula for the nth term of an arithmetic sequence:

a_n = a_1 + (n - 1) * d,

where a_n is the nth term, a_1 is the first term, n is the term number, and d is the common difference.

a_50 = 7 + (50 - 1) * 3

a_50 = 7 + 49 * 3

a_50 = 7 + 147

a_50 = 154.

Since the 50th term of this arithmetic sequence is 154, option B cannot have -286 as its 50th term.

C) -8, 2, -4...

This sequence alternates between -8 and 2. To find the pattern, we can observe that each term is multiplied by -1 to get the next term. However, there is no indication of a geometric or arithmetic relationship between terms.

Therefore, option C cannot have -286 as its 50th term.

D) P, -326, -324, 322...

Since the sequence starts with P and there is no information given about its value, we cannot determine the specific value of the 50th term.

Therefore, Option D cannot be tested to see if -286 is the 50th term.

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Answer:

1/2

Step-by-step explanation:

12 is the rise 24 is the run

12/24 simplified is 1/2

The required slope of the given ramp is given by 1/2. Option C is correct.

Given that,
A motocross ramp is 12 feet tall and 24 feet long. What is the slope of the ramp as a fraction in the lowest terms is to be determined.

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The slope of the ramp is evaluated as,
= vertical height / horizontal distance,
= 12 / 24
= 1 / 2

Thus, the required slope of the given ramp is given by 1/2. Option C is correct.

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Answer: for the first one it is +1

for the second one it is +3

for the third one it is +7

for the 4th one it is +13

and for the fifth one it is +21

Answer:

9.8x + 1.1y + 9.9z

Step-by-step explanation:

\(\textsf {The perimeter is the sum of the side lengths.}\)

\(\textsf {Hence, the perimeter is :}\)

⇒ 5.5x + 6.2y + 4.3x + 8.3z + 1.6z - 5.1y

⇒ 9.8x + 1.1y + 9.9z

Answer:

Area of the semi-circle:

(1/2)π(2^2) = 2π = 6.28 square centimeters

Area of the triangle:

(1/2)(4)(5.7) = 11.4 square centimeters

Total area:

6.28 + 11.4 = 17.68 square centimeters

Answer:

-1,0

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

pls mark brainliest

Answer:

8

Step-by-step explanation:

When we roll three fair coins, there are two possible outcomes for each coin - either it lands heads up or tails up. There are 8 elementary events in the sample space of the experiment of rolling three fair coins.

The sample space of this experiment consists of all possible combinations of three outcomes, which can be calculated by multiplying the number of outcomes for each coin: 2 x 2 x 2 = 8.
Each of these combinations is called an elementary event, which means that there are 8 elementary events in the sample space of the experiment of rolling three fair coins. We can list them as follows:
1. HHH (all three coins land heads up)
2. HHT (two coins land heads up, one lands tails up)
3. HTH (two coins land heads up, one lands tails up)
4. THH (two coins land heads up, one lands tails up)
5. HTT (one coin lands heads up, two land tails up)
6. THT (one coin lands heads up, two land tails up)
7. TTH (one coin lands heads up, two land tails up)
8. TTT (all three coins land tails up)

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The process of counting the number of observations is knowns as Tabulation.

The logical representation of the numerical data written in rows and columns is known as tabulation. It helps in to facilitate the statistical analysis. The data that can be organized in the form of table is termed as tabulation. The data in the table can be represented in a systematic manner. The main objective of tabulation is to present the systematic data in a brief manner.

There are two types of tabulation. They are:

1.Simple tabulation

2.Complex tabulation

A simple example for the tabulation is, The population of the people is divided into religion, caste, gender, age etc.

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Answer:

Jenny es la más alejada de su novela, con 6.66/100 por delante de Gabriel, y 8.33/100 por delante de Jessica.

English Translation: "Jenny is furthest through her novel, at 6.66/100 ahead of Gabriel, and 8.33/100 ahead of Jessica."

Step-by-step explanation:

Translation to English: "Jenny is on page 250 of her 375-page novel, Gabriel is on page 243 of the 405 pages of hers, and Jessica is reading page 448 of the 768 pages of hers. Who has done the furthest reading of their novel and what fraction of the novel separates them from the others?"

For the first part of question, where is asks who is farther through their book, calculate percentage, which is calculated from division:

250/375 = 0.66..., or 66.66%

243/405 = 0.6, or 60%

448/768 = 0.5833..., or 58.33%

We can already see that Jenny is furthest through her book, as she is around 6.66% farther than Gabriel and 8.33% farther than Jessica.

But, to answer the second part of the question, we must convert this information to fractions, which can be done by putting the values over 100:

66.66/100, 60/100, 58.33/100.  Now, since they are already in the same denominators, we can easily tell how far they are from one another in fractions: Jenny is 6.66/100 ahead of Gabriel, and 8.33/100 ahead of Jessica.

If I helped, please make this answer brainliest! ;)

Answer:

first answer

Step-by-step explanation:

The points will  meet x when it is folded are C or E

A point is a location of an object by taking reference of origin, In general case we consider it at (0,0), At the origin value of both the coordinate position is considered as Zero, In simple words point indicates how much it is above or below from the coordinate axes.

Vertical distance from the x axis is known as y coordinate and horizontal distance from the y axis is known as x coordinate.

Given that,

A green colored Net,

After folding x point will  meet the points = ?

When we start folding,

First step,

Side ABCD and DEFG will be folded,

C and E will meet with each other

Second Step,

Side ABCD and AGHI will be folded,

B and I will meet with each other

Third step,

Side DEFG and AGHI will be folded,

F and H will meet each other

Fourth step,

Upper portion AHI will cover the upper portion BCF of the box

X will at position of C or E

Hence, the X will meet C or E

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Answer:

1 and 2

1 and 5

10 and 0.1

the last is unreadable

Step-by-step explanation:

Answer:

i hope that is what you are looking for

Step-by-step explanation:

100/2 is 50 dollars per hour

160/5 is 32 dollars per hour