Below is the table of values of a function. Write the output when the input is n.
input 1,4,6,n
output 2,8,12,?

Answer:

1

Step-by-step explanation:

1

The only line of symmetry is a vertical line that runs through the center of the width of the figure, from the dip between the two half circles of the top to the vertex at the bottom.

Answer:

  1

Step-by-step explanation:

You want the know the number of lines of symmetry of a heart shape.

The figure is symmetrical about a vertical line through the center. There is one line of symmetry.

Every point on the left side of that line corresponds to a point at the same distance on the right side of the line.

Answer:

Below

Step-by-step explanation:

-4 1/4  +  5 3/8  

-17/4  + 43/8

-34/8 + 43/8 =  9/8 = 1  1/8

Answer:

Step-by-step explanation:

1 1/8

I converted the numbers into a mixed number

The first one was -17/4 and the other one was -43/8 but I had to find a common denominator so I multiplied the first one by 2 and the 2nd by one getting -34/8 and then for the 2nd one it stayed the same which is -43/8.

After I subtracted -34 and -43 and got 9/8 which is equal to 1 1/8

(Hope this is right...if wrong I'm sorry)

Answer: the percentage decreased is 2%

Step-by-step explanation:

Answer:

2%

Step-by-step explanation:

The decreased population of a city from 25,000 to 24,500

Population decreased =25,000−24,500=500

​

=    500/25000 x 100 = 2%

Answer:

\(\huge\boxed{\sf \frac{2\sqrt{7}-4 }{3}}\)

Step-by-step explanation:

This is a rationalizing denominator question.

\(= \displaystyle \frac{2}{2+\sqrt{7} } \\\\Multiply \ and \ divide \ by \ conjugate \ 2 - \sqrt{7} \\\\= \frac{2}{2+\sqrt{7} } \times \frac{2-\sqrt{7} }{2-\sqrt{7} } \\\\\underline{\sf Using \ formula:}(a+b)(a-b)=a^2-b^2\\\\= \frac{2(2-\sqrt{7}) }{(2)^2-(\sqrt{7})^2 } \\\\= \frac{4-2\sqrt{7} }{4-7} \\\\= \frac{4-2\sqrt{7} }{-3} \\\\= \frac{-(4-2\sqrt{7}) }{3} \\\\= \frac{2\sqrt{7}-4 }{3} \\\\\rule[225]{225}{2}\)

Answer:

12n+7

Explanation:

Given the arithmetic sequence

• The first term, a=19

• Common difference, d = 31-19 = 12

The nth term of an arithmetic sequence is obtained using the formula:

Substituting the given values, we have:

An equation for the nth term is 12n+7.

The expected value formula would come in handy, it is

Step 1

Total number of committee = 4 + 2 + 1 +3 = 10

Step 2

probality of picking of (26) = 4/10

probality of picking of (44) = 2/10

probality of picking of (93) = 1/10

probality of picking of (96) = 3/10

Therefore expected value = 57.3

Answer:

Which three questions?

Step-by-step explanation:

I've answered this first question, I guess I need two more...

Answer:

WARNING! THE PERSON ABOVE ME IS WRONG!

A is incorrect, it does NOT decrease, it goes in a parabola.

This makes (D) the correct answer.

The expected yield of a crop is low whenever the number of seeds planted per square foot is small or large. A larger yield is expected when the number of seeds per square is around 60.​

D.The expected yield of a crop is low whenever the number of seeds planted per square foot is small or large.

A larger yield is expected when the number of seeds per square is around 60.​

A scatter plot is a particular kind of plot or mathematical diagram that displays values for typically two variables for a collection of data.

It uses Cartesian coordinates. A second variable can be shown if the points are coded.

Here x coordinate represents the no. of seeds planted per square foot and the y coordinate represents crop yield per square foot.

If we observe the given scatterplot we see that before and after 60 seeds planted per square foot crop yield decreases.

∴ Every time there are few or many seeds planted per square foot, the crops predicted yield is poor. When there are about 60 seeds per square, a greater yield is anticipated.

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Answer:

True

Step-by-step explanation:

1,760 yds = 1 mile, 1,760 ÷ 2 = 880

Answer:

Victor has 18 trophies

Step-by-step explanation:

Let's set up "let statements"

Let d = Dean's trophies

Since Victor has 2 times as many trophies as Dean, we can set up a let statement for Victor like this...

Let 2d = Victor's trophies

Now we can set up an equation! Since we know Dean and Victor have 27 trophies altogether...our equation has to involve addition...

2d + d = 27

Combine like terms...(2d and d)

3d = 27

Divide 3 on both sides to isolate the variable "d"

3d ÷ 3 = d

27 ÷ 3 = 9

So...

d = 9

That means Dean has 9 trophies. But we are not done yet because we need to figure out how many trophies Victor has. Since Victor has 2 times the number of trophies as Dean we can do...

2 · 9 = 18

Therefore, Victor has 18 trophies!

Hope this helps :)

The straight-line distance between Akira's house and Cooper's house is 6.13 kilometers (rounded to the nearest tenth)

Given that,To get from home to his friend Akira's house, Jaden would have to walk 2.8 kilometers due east.The straight-line distance between Akira's house and Cooper's house is given by the distance between two points in a coordinate plane. Let the home be the origin (0, 0) of the coordinate plane and Akira's house be represented by the point (2.8, 4.7). Similarly, let Cooper's house be represented by the point (8.3, 7.4).The distance formula between the two points (2.8, 4.7) and (8.3, 7.4) is given by:distance = √[(8.3 - 2.8)² + (7.4 - 4.7)²]= √[5.5² + 2.7²]= √(30.25 + 7.29)= √37.54= 6.13 km (rounded to the nearest tenth)

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Answer:

Total number of unemployment in 2018 = 3,276,420

Step-by-step explanation:

Given:

Total number of unemployment in 2017 = 3,766,000

Decreased in unemployment = 13%

Find:

Total number of unemployment in 2018

Computation:

Total number of unemployment in 2018 = Total number of unemployment in 2017 - Decreased in unemployment

Total number of unemployment in 2018 = 3,766,000 - 13%

Total number of unemployment in 2018 = 3,276,420

Answer:

(a) Locker A has the better deal

Step-by-step explanation:

Given

\(A = \frac{\$28}{yd^2}\) -- monthly

\(B = \frac{\$1.43}{ft^2}\) --- weekly

\(1\ month = 4\ weeks\)

Required:

Determine which gives the better price

\(B = \frac{\$1.43}{ft^2}\) --- weekly

Convert to monthly rate:

\(B = \frac{\$1.43*4}{ft^2}\)

\(B = \frac{\$5.72}{ft^2}\) --- monthly

Convert ft^2 to yd^2

\(1ft^2 = 0.111yd^2\)

So, we have:

\(B = \frac{\$5.72}{0.111yd^2}\)

\(B = \frac{\$51.53}{yd^2}\) --- monthly

By comparing:

\(A = \frac{\$28}{yd^2}\)

\(B = \frac{\$51.53}{yd^2}\)

Locker A has the better deal

The volume of a cone will be 209.41 yard³.

What is volume of cone?

The area or volume that a cone takes up is referred to as its volume. Cones are measured by their volume in cubic units such as cm3, m3, in3, etc. By rotating a triangle at any of its vertices, a cone can be created. A cone is a robust, spherical, three-dimensional geometric figure.. Its surface area is curved. The perpendicular height is measured from base to vertex. Right circular cones and oblique cones are two different types of cones. While the vertex of an oblique cone is not vertically above the center of the base, it is in the right circular cone where it is vertically above the base.

So the

V = (1/3)πr²h.

Given, data r = 5yards

h = 8 yards

Volume = 1/3 * π * r ²* h

= 1/3 * 3.141*25*8

=209.41 yard³

Hence, the volume of a cone will be 209.41 yard³.

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The ratio is  15+\(r_2\) : \(12+r_1\).

What is surface area?

A three-dimensional object's surface area is the space it takes up when viewed from the outside.

Here surface area of the cylinder = \(2\pi rh+2\pi r^2\) square unit

=> A = \(2\pi r(h+r)\) square unit.

Now Height = 12 in , radius = r1 then,

=> \(A_1 = 2\pi r_1(12+r_1)\) -----> 1

Now Height = 15 in , radius = r2 then,

=>\(A_2=2\pi r_2(15+r_2)\)-------> 2

Now the ratio of the surface area of the larger cylinder to the surface area of the smaller cylinder then,

=>\(2\pi r_2(15+r_2) : 2\pi r_1(12+r_1)\)

=>\(15+r_2:12+r_1\)

Hence the ratio is \(15+r_2:12+r_1\).

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Answer:

25:16

Step-by-step explanation:

I took the

Answer:

-2

Step-by-step explanation:

We use the slope formula, \(\frac{y_2-y_1}{x_2-x_1}\), and substitute the points (0,8) and (2,4). This gives

\(\frac{4-8}{2-0}=\frac{-4}{2}=-2\)

as the slope.

Hello.

Since we have two points, and we are asked to find the slope of the line, let's use the slope formula:

\(\mathrm{m=\displaystyle\frac{y2-y1}{x2-x1}}\)

Where

m is the slope

y2 is the y-coordinate of the second point

y1 is the y-coordinate of the first point

x2 is the x-coordinate of the second point

x1 is the x-coordinate of the first point

In this case, m is unknown, y2 = 4, y1 = 8, x2=2, x1=0

Plug in the values:

\(\displaystyle\frac{4-8}{2-0}\)

\(\displaystyle\frac{-4}{2} =-2\)

Therefore, the slope is -2.

I hope it helps!

Have a nice day!

\(\boxed{imperturbability}\)

Two graphs are differenced by the way x variable is changing

Firts find the difference between two variables (x+2)

Answer:

it's area the forth one

Step-by-step explanation:

...............

Answer: 9.900

Answer:

12 years if interest is paid yearly

12 months if interest is paid monthly

Step-by-step explanation:

2.75% of $1500 is $41.25 interest per period

$1995-$1500 = $495 total interest

$495 ÷ $41.25 = 12 periods

Therefore it takes 12 interest periods to reach $1995, so the answer is 12 months or 12 years depending on how often interest is paid.

The expression log₃(x²∛y²) using the laws of logarithms is 2log₃(x) + 2/3log₃(y)

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

log₃(x²∛y²)

The product law of logarithms states that

log(ab) = log(a) + log(b)

Using the above as a guide, we have the following:

log₃(x²∛y²) =  log₃(x²) + log₃(∛y²)

The power law of logarithms states that

log(aᵇ) =  blog(a)

Using the above as a guide, we have the following:

log₃(x²∛y²) =  2log₃(x) + 2/3log₃(y)

This means that the values of A and B are A = 2 and B = 2/3

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Answer: A pie chart is appropriate for displaying data that can be divided into categories or segments, where the total of all segments adds up to 100%.

Out of the given options, the first set of data is appropriate for a pie chart. The percentage of people who jog more than three times a week and the percentage of people who lift weights more than three times per week can be divided into two categories or segments, and the sum of these percentages will be 100%.

However, the other options are not suitable for a pie chart because they do not represent categories or segments that add up to 100%. For example, the percentage of people with full-time jobs and part-time jobs does not necessarily add up to 100%, as some people may not be employed at all. Similarly, the percentage of adults with and without children does not necessarily add up to 100%, as there may be other categories of people that are not considered in these options. The percentage of people who drive or walk to work also does not necessarily add up to 100%, as there may be other modes of transportation used.

Therefore, a pie chart is appropriate only for the first set of data.

Step-by-step explanation:

All of the scenarios you've given are suitable for a pie chart.

A pie chart is a type of chart that is used to visualize categorical data where the categories do not overlap. The distribution of data is represented in the form of slices of a pie, where each slice represents a category. The larger the slice is, the bigger the proportion of that category in relation to the whole data set.

There are four scenarios in your question.

1. The first scenario is about the percentage of people who jog more than three times a week and the percentage of people who lift weights more than three times per week. These are two distinct categories (people who jog and people who lift weights), and they represesent different groups. These categories do not overlap, thus a pie chart is appropriate in this case.

2. In the second scenario, we have two categories: people that have a full-time job and people that have a part-time job. Again, these two groups are distinct and do not overlap, thus making a pie chart a suitable choice to visualize this data.

3. The third scenario deals with the distribution of adults with children and adults without children. These are two distinct, non-overlapping categories, so here too, a pie chart can be used.

4. The final scenario describes the percentages of people that drive to work and people that walk to work. These too, are clearly defined, non-overlapping categories, thus a pie chart is an appropriate choice.

Therefore, all of the scenarios you've given are suitable for a pie chart. This is because all of them deal with clearly defined, non-overlapping categories of data. However, it's important to remember that pie charts work best when the number of categories is not too big. Large numbers of categories can make a pie chart hard to read and less effective in communicating the distribution of data clearly.

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Answer:

for the 40 package unit cost is $0.1148

In 10 pack the unite price would be $0.2300

Answer:

6x-5y=15

6x=15+5y

x=15+5y÷6

x=y+15.8

Answer:

Step-by-step explanation:

3x / (x + 2).

Answer:

The 10th term is -524,288

Step-by-step explanation:

The general format of a geometric sequence is:

\(a_{n} = r*a_{n-1}\)

In which r is the common ratio and \(a_{n+1}\) is the previous term.

We can also use the following equation:

\(a_{n} = a_{1}*r^{n-1}\)

In which \(a_{1}\) is the first term.

The common ratio of a geometric sequence is the division of the term \(a_{n+1}\) by the term \(a_{n}\)

In this question:

\(a_{1} = 2, a_{2} = -8, r = \frac{-8}{2} = -4\)

10th term:

\(a_{10} = 2*(-4)^{10-1} = -524288\)

The 10th term is -524,288

Answer:

Area of the gray region = 64 square units

Step-by-step explanation:

Area of the white square = 64 square units

Length of a side of the given square = \(\sqrt{\text{Area}}\)

                                                             = \(\sqrt{64}\)

                                                             = 8 units

By Pythagoras theorem,

Length of diagonal DB = \(\sqrt{BC^2+CD^2}\)

DB = \(\sqrt{8^2+8^2}\)

     = \(8\sqrt{2}\)

AD = DB = \(8\sqrt{2}\) [Given]

OD = OC = \(\frac{1}{2}(DB)\)

               = 4√2

Therefore, AO = AD + OD = 8√2 + 4√2

                                           = 12√2

Area of ΔACD = Area of ΔAOC - Area of ΔCOD

                        = \(\frac{1}{2}(AO)(OC)-\frac{1}{2}(CO)(OD)\)

                        = \(\frac{1}{2}[(12\sqrt{2}\times 4\sqrt{2})-(4\sqrt{2})^2]\)

                        = \(\frac{1}{2}[96-32]\)

                        = 32

Therefore, area of gray part = Area of ΔACD + Area of ΔAED

                                               = 32 + 32

                                               = 64 square units

Answer:

64 square units

Answer:

  $5.59

Step-by-step explanation:

You want the unit price of a pair of socks, given that 5 pairs cost $27.95.

The unit price is found by dividing the price by the number of units.

  $27.95/5 = $5.59

The unit price of a pair of socks is $5.59.

The charges for the first ounce = $0.34

Charges for each additional ounce = $0.23

Let the number of additional ounces be n

The maximum total charges = $8.27

The inequality that represents the given illustration is:

0.34 + 0.23n ≤ 8.27

0.23n ≤ 8.27 - 0.34

0.23n ≤ 7.93

n ≤ 7.93 / 0.23

n ≤ 34.48

Maximum number of whole ounces = Number of additional ouces + Initial ounce

Maximum number of whole ounces = 34.48 + 1

Maximum number of whole ou

The types of rotation are:

In this case:

 ⇒ it is reflection since the graph is inverted and each point is the same distance from the line of reflection

Answer: reflection

Hope that helps!