Please answer showing work on paper if you can.

No, X or y-axis scale does not have to always start at zero. In a line chart, it's OK to start the axis at a number other than zero

A line that is used to take or mark measurements is known as an axis in mathematics. Two crucial axes of the coordinate plane are the x and y axes. A horizontal number line is the x-axis, while a vertical number line is the y-axis. The coordinate plane is created by the perpendicular intersection of these two axes.

Given,

No, X or y-axis scale does not have to always start at zero.

A line chart encodes data using location (x, y coordinates), whereas a bar chart represents data using length. In a line chart, it's OK to start the axis at a number other than zero despite many claims that they are always misleading since this minute difference influences how a reader utilizes the chart.

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Answer:

D. x=1

Step-by-step explanation:

8-2x = -8x + 14

First, add 8x to both sides.

8+6x=14

Next, subtract 8 from both sides.

6x=6

Lasty, divide 6 from both sides.

x=1

Hope this helps!

If not, I am sorry.

The scatterplot with the least squares line provides insights into the relationship between average annual global surface temperature and the years from 2000 to 2015, allowing us to assess trends, strength of correlation, and make predictions within certain limitations.

The scatterplot represents the relationship between the average annual global surface temperature, in degrees Celsius, and the corresponding years from 2000 to 2015. The line drawn on the plot is the least squares line, which is the best fit line that minimizes the overall distance between the observed data points and the line.

The least squares line is determined using a statistical method called linear regression. It calculates the equation of a straight line that represents the trend in the data. This line serves as a mathematical model to estimate the average temperature based on the year.

By analyzing the scatterplot and the least squares line, we can make several observations. Firstly, we can see whether the temperature has been increasing, decreasing, or remaining relatively stable over the given years. If the slope of the line is positive, it indicates a positive correlation, implying that the temperature has been increasing. Conversely, a negative slope suggests a decreasing trend.

Additionally, we can evaluate the strength of the relationship between temperature and time by examining how closely the data points cluster around the line. If the points are closely grouped around the line, it suggests a strong correlation, indicating that the line is a good representation of the data. On the other hand, if the points are more scattered, the correlation may be weaker.

Furthermore, the line can be used to predict the average annual global surface temperature for future years beyond the data range of 2000 to 2015. However, it's important to note that such predictions should be made with caution and considering other factors that may affect global temperatures, such as climate change and natural variability.

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Question

The given scatterplot shows the average annual global surface temperature, in degrees celsius, for each year from 2000 to 2015. the line drawn is the least squares line for the data set.

There are nC2 different votes possible, where n is the number of bands on the list and nC2 represents the number of ways to choose 2 bands out of n.

To calculate nC2, we can use the formula for combinations, which is given by n! / (2! * (n-2)!), where ! represents factorial.

Let's say there are m bands on the list. The number of ways to choose 2 bands out of m can be calculated as m! / (2! * (m-2)!). Simplifying this expression further, we get m * (m-1) / 2.

Therefore, the number of different votes possible is m * (m-1) / 2.

In the given scenario, we don't have the specific number of bands on the list, so we cannot provide an exact number of different votes. However, you can calculate it by substituting the appropriate value of m into the formula m * (m-1) / 2.

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The sales price on an item that is $50 with a 54% markdown is $23

The given parameters are

Item price = $50

Markdown = 54%

The sales price on an item that is $50 with a 54% markdown is calculated as

Sales price = Item price * (1 - Markdown)

So, we have

Sales price = 50 * (1 - 54%)

Evaluate

Sales price = 23

Hence, the sales price on an item that is $50 with a 54% markdown is $23

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Answer:

The radical approximations of 7.07, 7.21, and 7.93 to the nearest whole number are:

2.65

2.68

2.82

Step-by-step explanation:

Sure, here's a step-by-step explanation of finding the approximate square root of 7.07, 7.21, and 7.93 to the nearest whole number:

Start by finding an approximate square root by making an educated guess or by using a calculator.

Use the initial guess to determine if the number is closer to the actual square root or to a smaller or larger value.

Refine the estimate by averaging the guess and the number divided by the guess.

Repeat the process of refining the estimate until a satisfactory level of accuracy is reached.

Here's an example for 7.07:

An educated guess for the square root of 7.07 could be 2.7

Dividing 7.07 by 2.7 gives an estimated value of 2.61, which is closer to the actual value.

To get a more accurate estimate, the average of 2.7 and 2.61 (2.655) is taken as the new estimate.

Repeat steps 2 and 3 until the desired level of accuracy is achieved.

After several iterations, the square root of 7.07 is approximately equal to 2.65.

Similarly, you can find the approximate square roots of 7.21 and 7.93.

Answer:

\(y=-\frac{3}{2}+2\)

Step-by-step explanation:

First subtract 6 from both sides:

\(6x+4y=8\)

-6            -6

New equation becomes:

\(4y-6=8\)

Divide all by 4:

4     -6      8

---    ---      ---

4       4       4

\(y=-\frac{3}{2}+2\)

Hence, the final answer is \(y=-\frac{3}{2}+2\)

Answer:

$7.50

Step-by-step explanation:

Have a good day

Answer:

ans is 20. just find the lcm between the three and it is 20

Answer:

There are 68,640 different ways the runners can finish first, second, and third in the race.

Concept of Permutations

The number of different ways the runners can finish first, second, and third in a race can be calculated using the concept of permutations.

Brief Overview

Since there are 42 runners competing for the top three positions, we have 42 choices for the first-place finisher. Once the first-place finisher is determined, there are 41 remaining runners to choose from for the second-place finisher. Similarly, once the first two positions are determined, there are 40 runners left to choose from for the third-place finisher.

Calculations

To calculate the total number of different ways, we multiply the number of choices for each position:

42 choices for the first-place finisher × 41 choices for the second-place finisher × 40 choices for the third-place finisher = 68,640 different ways.

Concluding Sentence

Therefore, there are 68,640 different ways the runners can finish first, second, and third in the race.

An equation relating C to M is C = 0.85M + 21.85

The complete question is given as an attachment

From the complete question in the attachment, we have the definitions of the following functions

S = 16.95 + 0.60M

I = 4.90 + 0.25M

Where

C is the total charge

This means that, the definition of the function C is

C = S + I

So, we have

C = (16.95 + 0.60M) + (4.90 + 0.25M)

Open the brackets

So, we have

C = 16.95 + 0.60M + 4.90 + 0.25M

Collect the like terms

So, we have

C = 0.60M + 0.25M + 16.95 + 4.90

Evaluate the like terms

So, we have

C = 0.85M + 21.85

Hence, an equation relating C to M is C = 0.85M + 21.85

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The most appropriate choice for percentage will be given by-

14 categories can be carried

What is Percentage?

Percentage is a ratio expressed as a percentage of 100.

Total area of selling space = \(2500 ft^2\)

Percentage of space used for isles = \(30\) %

Area of space used for isles = \(\frac{30}{100} \times 2500\)

                                               = \(750 ft^2\)

Area of space left = \(2500 - 750\)

                              = \(1750 ft^2\)

Area of space reserved for each category =  \(125 ft^2\)

No of categories = \(\frac{1750}{125}\)

                            = \(14\)

14 categories can be carried

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The surface area of a conical grain storage tank that has a height of 42 meters and a diameter of 24 meters is 1,670.5 square meters.

The surface area of a cone is calculated using the following formula:

Surface area = πr² + πrl, where π is approximately equal to 3.14, r is the radius of the base of the cone, and l is the slant height of the cone.

In this problem, we are given that the height of the cone is 42 meters and the diameter of the base is 24 meters. The radius of the base is half of the diameter, so the radius is 12 meters. The slant height of the cone can be calculated using the Pythagorean theorem.

l² = 12² + 42²

l² = 1764

l = 42.01 meters

The surface area of the cone is then calculated as follows:

Surface area = πr² + πrl

Surface area = 3.14 * 12² + 3.14 * 12 * 42.01

Surface area = 1,670.5 square meters

Here are some additional explanations:

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It will take B 8 hours to travel in order to overtake A.

The relationship among the distance, time and speed can be expressed by using the relation.

\(\mathbf{speed = \dfrac{distance}{time}}\)

In this kind of ratio relation, it is pertinent to understand that, the rise in a variable cause a decrease in the other, where the third variable is constant.

Here:

From the given relation:

So, we can have a table expressing the parameters given in the question as follows:

           v            t            d

A          4            t+2     4t + 8

B          5             t         5t

Equating both distance together, we have:

4t + 8 = 5t

collecting like terms, we have:

4t - 5t = -8

t = 8 hours

Therefore, we can conclude that it will take B 8 hours to travel in order to overtake A.

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Answer:

Step-by-step explanation:

1. B. lateral faces

2. D. surface area

3. B. lateral faces

4. A. lateral area

5. E. cylinder

The probability that a randomly selected newborn baby boy's weight at the local hospital is less than 43624362 grams is 1.0000 (or 100%).

To find the probability that a randomly selected newborn baby boy's weight at the local hospital is less than 43624362 grams, we can use the properties of the normal distribution.

Given that the distribution of newborn baby boys' weights is believed to be normal with a mean weight of 32843284 grams and a variance of 454276454276, we can calculate the standard deviation by taking the square root of the variance:

Standard deviation (σ) = √(454276454276) ≈ 674579.5906 grams

To find the probability, we need to standardize the value of 43624362 grams using the mean and standard deviation.

Z = (X - μ) / σ

where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

Standardizing the weight of 43624362 grams:

Z = (43624362 - 32843284) / 674579.5906

Z ≈ 17461.7622

Now, we can use the standard normal distribution table or a calculator to find the cumulative probability up to Z.

P(X < 43624362) = P(Z < 17461.7622)

Using the standard normal distribution table or a calculator, we find that the probability is extremely close to 1 (or 100%).

Rounded to four decimal places, the probability is 1.0000.

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Answer:

Step-by-step explanation:

12

The number of years that it takes to double your money will be 12 years.

A loan or deposit's interest is computed using the starting principle and the interest payments from the ago decade as compound interest.

We know that the compound interest is given as

A = P(1 + r)ⁿ

Where A is the amount, P is the initial amount, r is the rate of interest, and n is the number of years.

They say that if you invest with them at 6% interest compounded annually they will double your money. If you invest $500 in the account. Then the equation is given as,

$1,000 = $500 x (1 + 0.06)ⁿ

2 = (1.06)ⁿ

ln 2 = n ln 1.06

n = ln 2 / ln 1.06

n = 11.90

n ≈ 12 years

The number of years that it takes to double your money will be 12 years.

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Answer:

the answer is (R-7)÷5

Step-by-step explanation:

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Answer:

7.47 inches

Step-by-step explanation:

0.8 in : 1.5 ft

14 ft / 1.5 ft

9.33

9.33 x 0.8

7.464

Answer:

b

Step-by-step explanation:

the answer is 7.47 inches

The numbers that fit the sum and products are 15 and -2

From the question, the equation is given as

x² + 13x - 30

Also, we have:

Two numbers that multiply to equal -30 and add to equal 13

Represent these numbers with a and b

So, we have the following representations

a + b = 13

ab = -30

Express -30 as 15 * -2 in ab = -30

So, we have

ab = 15 * -2

By comparison, we have

a = 15 and b=-2

In a + b = 13, we have

15 - 2 =13

Hence, the numbers are 15 and -2

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Answer: D.

Step-by-step explanation:

You can start out with the form AX = B and solve for matrix X that would yield the answer

Then X = (A^-1)(B)

A = [1    -1]

      [1     1]

A^-1 = (1/(1 - (1)(-1)))*[1    1]

                             [-1   1]

which can be written as (1/2) * [1    1]

                                                  [-1   1]

B = [26]

     [6]

(A^-1)(B) = (1/2)*[1    1] [6]

                        [-1   1] [26]

= (1/2)*[32]

          [20]

= [16]

  [10]

Janet can simplify and solve the resulting equation to find the Value(s) of y.(y^2 - 1)(y + 1) * (y + y^2 - 5) = (y^2 - 1)(y + 1) * (y^2 + y + 2)

To solve the equation y + y^2 - 5 / (y^2 - 1) = y^2 + y + 2 / (y + 1), Janet needs to get rid of the denominators in order to simplify the equation and solve for y. One way to do this is by multiplying both sides of the equation by the common denominator of all the fractions involved.

In this case, the common denominator is (y^2 - 1)(y + 1). So, Janet should multiply both sides of the equation by (y^2 - 1)(y + 1) to eliminate the denominators.

Multiplying both sides by (y^2 - 1)(y + 1) yields:

(y^2 - 1)(y + 1) * (y + y^2 - 5) / (y^2 - 1) = (y^2 - 1)(y + 1) * (y^2 + y + 2) / (y + 1)

By multiplying, we cancel out the denominators:

(y^2 - 1)(y + 1) * (y + y^2 - 5) = (y^2 - 1)(y + 1) * (y^2 + y + 2)

Now, Janet can simplify and solve the resulting equation to find the value(s) of y.

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Answer:

144 in sq

Step-by-step explanation:

multiply 12 by 12

Answer:

9 inches²

Step-by-step explanation:

Since a square has 4 equal sides, we can divide its perimeter by 4 to find the length of a single side.

12/4 = 3

Each side of the square is 3 inches long.

To find the area of the square, then, multiply the length, 3 and the width, 3, together.

3 · 3 = 9

The area of the square is 9 inches.

Good luck ·ω·

Answer:

8, 0

Step-by-step explanation:

Step-by-step explanation:

hmmm.

the picture tries to tell me that the 2 more or less horizontal lines are not parallel.

yet the answer options seem to indicate that they are parallel. otherwise none of the answer options make any sense.

so, assuming the 2 lines are meant to be parallel :

1 and 3 : corresponding angles.

2 and 7 : alternate interior angles.

8 and 3 : vertical angles.

6 and 7 : supplementary angles.