what happens when you add 1 to a number

Answer:

1.  The scatter plot does not show a linear model.2. Since the plotted data are all around the temperature of 10, the slope would be a horizontal line at 10. A horizontal line does not have any slope, this tell me that the average temperature stays an average of 10 no matter what the humidity level is.3. There is no vertical intercept shown.2nd page:1. yes, because there were 2 small clusters separated by a little bit of space.2. I think the location of the area the data came from may change the relationship between the variables.3. I think by switching the axis's the data may be grouped closer together since most of the data points are along a vertical line.

Step-by-step explanation:

Final answer:

The original basket contained 72 mangoes, determined by working backward from the known remainder of 3 after the sequential distribution between the king, queen, and princes.

Explanation:

From a basket of mangoes, the distribution among the royal family leads to a classic fractional subtraction problem. The solution involves working backward from the known remainder. The youngest child took the remaining 3 mangoes, which indicates that this was what was left after the king, the queen, and the three chief princes took their respective shares.

Let's denote the original number of mangoes as x. The king took 1/6 of x, leaving 5/6x. The queen then took 1/5 of the remainder (5/6x), leaving 4/5 * 5/6x = 4/6x or 2/3x. Successively, the three chief princes took 1/4, 1/3, and 1/2 of their respective remainders, each action further reducing the quantity of mangoes. The problem states that after these distributions, 3 mangoes were left, which were taken by the youngest child.

To find the original number of mangoes, we begin by denoting the final 3 mangoes as the remaining half after the last prince's share, work through the inverse operations for each prior transaction, and solve for x. Through this back calculation, we find that the original number of mangoes was 72.

Final answer:

Ordered pairs with opposite signs for their coordinates are located in the second or fourth quadrants of a Cartesian plane, depending on the signs of the x and y-coordinates.

Explanation:

The coordinates of an ordered pair with opposite signs indicate its position in the coordinate plane. When the x-coordinate and y-coordinate have opposite signs, the ordered pair lies either in the second or fourth quadrant. This is because the sign of the x-coordinate is positive on the right side of the y-axis (first and fourth quadrants) and negative on the left side (second and third quadrants), and similarly, the sign of the y-coordinate is positive above the x-axis (first and second quadrants) and negative below it (third and fourth quadrants). Thus, if an ordered pair has coordinates with opposite signs, it lies in the quadrant where one axis is positive and the other is negative. For example, if the x-coordinate is positive and the y-coordinate is negative, the ordered pair will be in the fourth quadrant. Conversely, if the x-coordinate is negative and the y-coordinate is positive, it will lie in the second quadrant.

The directional derivative of f(x, y, z) = xy + yz + zx at p(1, -1, 7) towards q(2, 4, 5) is found by first calculating the unit vector in the direction from p to q, then the gradient of f at p, and calculating the dot product of the two vectors. The directional derivative comes out to be 16/ √30.

The directional derivative of the function f(x, y, z) = xy + yz + zx at a point p(1, -1, 7) towards the point q(2, 4, 5) can be found by first getting the unit vector in the direction from p to q, then calculating the gradient of the function at p, and finally calculating the dot product of these two vectors (the unit vector and the gradient of the function).

First, calculate the unit vector u = (q - p) / |q - p|. That gives u = (1, 5, -2), and normalize it to get u = 1/ √30 (1, 5, -2).

Next, get the gradient of the function at p(1, -1, 7), which is the vector of first order derivatives. The partial derivatives of f(x, y, z) with respect to x, y, z are y+z, x+z, and x+y respectively. This gives the gradient vector at p as (-8, 8, 0).

Finally, the directional derivative is the dot product of the unit vector and the gradient, which comes out to be 1/ √30 * ((1*-8) + (5*8) + ((-2)*0)) = 16/ √30.

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Answer:

font size of top line will be 1.067

Step-by-step explanation:

Scale factor between 4th line text size to the 3rd line text will be

= [tex]\frac{0.937}{0.878}=1.067[/tex]

Scale factor between 3rd line and second line will be = [tex]\frac{1}{0.937}=1.067[/tex]

Therefore, scale factor between 2nd and 1st text size will be = [tex]\frac{x}{1}=1.067[/tex]

x = 1.067

It reveals that the font size of top line will be 1.067

The correct statement that describes a method that will help the group accurately estimate this percentage is;

⇒ Take a random sample of residents in the town, and ask each resident in the sample whether or not they support a teen curfew. Then calculate the percentage of the total who say "yes."

Random sampling is defined as a sampling method that utilizes randomization of sample selection.

In random sampling, each sample has the same probability of being selected as that of other samples to be selected to serve as a representation of an entire population.

Now, in this question, since the group would like to estimate the percentage of town residents who would support a teen curfew, then the sampling method they should use is random sampling which is in option C.

Learn more about Random Sampling visit:

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The total purchase price, including sales tax, for the two blankets, one mattress, and one sheet that Mike purchased is $178.69.

To work out the total purchase price, including sales tax, for the items Mike purchased, first, we need to calculate the total cost of the blankets, mattress, and sheet before tax:

Add these amounts together to find the subtotal:

$89.98 + $59.00 + $19.99 = $168.97

Next, we compute the sales tax. Convert the percent to a decimal by moving the decimal point two places to the left (5.75% becomes 0.0575), and then multiply by the subtotal:

0.0575 × $168.97 = $9.7161

Round the sales tax to the nearest cent: $9.72

Finally, add the sales tax to the subtotal to get the total purchase price:

$168.97 + $9.72 = $178.69

Therefore, the total purchase price, including sales tax, is $178.69.

The Euclidean Algorithm is used to find the greatest common divisor (GCD) of two numbers, this method has been applied to find the GCDs of multiple pairs of numbers.

The Euclidean Algorithm is basically a method to find the greatest common divisor (GCD) of two numbers. It is based on the principle that the GCD of two numbers is the same as the GCD of the remainder when the larger number is divided by the smaller one.

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Answer:

Amount required is [tex]x=\frac{3}{8}[/tex]

Step-by-step explanation:

Given : Cameron used [tex]1\frac{3}{4}[/tex] ounces of hydrochloric acid in one experiment. She used [tex]2\frac{1}{8}[/tex] ounces of the acid in a second experiment.

To find : How much more acid did Cameron use in the second experiment?

Solution :

In one experiment,

Cameron used [tex]1\frac{3}{4}[/tex] ounces of hydrochloric acid

i.e [tex]1\frac{3}{4}=\frac{7}{4}[/tex]

In second experiment,

She used [tex]2\frac{1}{8}[/tex] ounces of the acid.

i.e. [tex]2\frac{1}{8}=\frac{17}{8}[/tex]

Let x amount more she used then experiment 1 in experiment 2.

So, the equation became

[tex]\frac{7}{4}+x=\frac{17}{8}[/tex]

[tex]x=\frac{17}{8}-\frac{7}{4}[/tex]

[tex]x=\frac{17-14}{8}[/tex]

[tex]x=\frac{3}{8}[/tex]

Therefore, Amount required is [tex]x=\frac{3}{8}[/tex]

Answer:

n(30 +18 +85 +15) , and if you slove the expression it'll be $148 dollars .

Step-by-step explanation:

Answer:

4x + 15y = 12

Step-by-step explanation:

The standard form of a linear equation is Ax + By = C where A and B cannot be fractions and A is not negative. To write in standard form, move -5/2y to the other side of the equal sign. Then clear the denominators by multiplying the equation by 6.

2/3x=-5/2y+2

2/3x + 5/2y = 2

6(2/3x + 5/2y = 2)

4x + 15y = 12

On a standard number cube there are 6 numbers and only one of them is greater than 5.

The probability of getting the one number out of 6 total numbers is 1/6

P( number greater than 5) = 1/6

Answer:

D)5

Step-by-step explanation:

The initial value of the linear relationship is the value that exists in the "Y" axis when the "x" value is 0, as you can see in the graph, when the X value is 0, the Y value is 5, so the inital value of the linear relationship is 5.

If you wish to calculate this on an inequality, you just have to insert in the inequality 0 as the value for x, and you will get as a result the initial value.

Step-by-step explanation:

If 555 is divided by 2 then the quotient is 277 and remainder is 1.

Option B is the right answer.

Step-by-step explanation:

An accountant was struck by lightening three times in his lifetime. This event is Possible, but very unlikely.

We know that a probability near 0 means an unlikely event. Probability around 1/2 indicates an event that is neither unlikely nor likely. Similarly, probability near 1 indicates a likely event.

Here, in a lifetime the accountant was struck 3 times. If the average lifetime is 70 years, so probability becomes [tex]\frac{3}{70}= 0.04[/tex]. This is close to zero, indicating that the event is very unlikely.

And people are struck by lightening so it is a possible event.

Combining both, we get option B as the final answer.

Answer:

B. there is only one solution, and it is viable

Step-by-step explanation: