Increase a monthly salary of $2925 by 7.2%.​

On solving the provided question, we can say that in the parallel lines we have 14x +21 = 87 - 2x +> 12x = 66 =>. x = 10.5

Parallel lines in geometry are coplanar infinite lines that don't intersect anywhere. In a given three-dimensional space, parallel planes are those that never cross. Curves with a constant minimum distance between them and no points of contact or intersection are said to be parallel. Two lines that are in the same plane, equally spaced apart, and never intersect are referred to as parallel lines in geometry. Either horizontal or vertical can apply. Parallel lines can be noticed in everyday objects like railroad tracks, rows of notebooks, and pedestrian crossings.

here,

14x +21 = 87 - 2x

12x = 66

x - 22/4

x = 11/2

x = 10.5

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Answer:

A) The table represents a nonlinear function because there is not a constant rate of change in the output values.

Answer:

D.) The table represents a linear function because there is not a constant rate of change in the input and output values.

From the given number line, we have inequality as {x|x≤4.5}. Therefore, option B is the correct answer.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

Inequalities on a number line allow us to visualize the values that are represented by an inequality. To represent inequalities on a number line we show the range of numbers by drawing a straight line and indicating the end points with either an open circle or a closed circle.

From the given number line, we have inequality as {x|x≤4.5}

Therefore, option B is the correct answer.

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Answer:

you cut the yards by 0 ez B)

Answer:

\(3\)

Step-by-step explanation:

\(\mathrm{The\ slope\ of\ a\ line\ passing\ through\ the\ points\ (x_1,y_1)\ and\ (y_2,y_1)\ is\ given\ by:}\\\mathrm{Slope(m)=\frac{y_2-y_1}{x_2-x_1}}\\\\\mathrm{According\ to\ the\ question,}\\\mathrm{(x_1,y_1)=(0,-2)}\\\mathrm{(x_2,y_2)=(-2,-8)}\)

\(\mathrm{Therefore\ the\ slope=\frac{-8-(-2)}{-2-0}=\frac{-8+2}{-2}=3}\)

we get the sum of (a b² + 26² ) + ( - 6 c a b² + 26² ) as a b² ( 1 - 6 c) + 1352.

We are given the expression:

(a b² + 26² ) + ( - 6 c a b² + 26² )

We need to find its sum.

a b² + 26² - 6 c a b² + 26²

a b²  - 6 c a b² + 26² + 26²

a b²  - 6 c a b² + 676 + 676

a b²  - 6 c a b² + 1352

a b² ( 1 - 6 c) + 1352.

Therefore, we get the sum of (a b² + 26² ) + ( - 6 c a b² + 26² ) as a b² ( 1 - 6 c) + 1352.

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Answer:

5%

Step-by-step explanation:

Decreased amount = 40 - 38

                                 = £ 2

\(\sf \boxed{decreased \ percentage = \dfrac{decreased \ amount}{oringinal price}*100 }\)

                                  \(= \dfrac{2}{40}*100\\\\= 5 \%\)

The correct option is a. mean: $64 median: $65 mode: $71, the mean is the average of all the values in a data set.

To calculate the mean, add up all the values and then divide by the number of values. In this case, the mean is $64.

The median is the middle value in a data set when the values are arranged in ascending or descending order. In this case, the median is $65.

The mode is the most frequently occurring value in a data set. In this case, the mode is $71.

Here is a table of the data with the mean, median, and mode calculated:

Value | Mean | Median | Mode

------- | -------- | -------- | --------

$71 | $64 | $65 | $71

$66 |     |     |

$81 |     |     |

$53 |     |     |

$64 |     |     |

$71 |     |     |

$68 |     |     |

$45 |     |     |

$50 |     |     |

$61 |     |     |

$63 |     |     |

$75 |     |     |

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9/x and 20x⁹ are the monomials.

The correct option A and D.

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.

A monomial is a polynomial with just one term.

From the given choices:

9/x and 20x⁹ are the monomials.

11x - 9 and 20x⁹ -7x are the binomial.

Therefore, A and D are the monomials.

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At the grand opening, al's furniture store, there is offering spin wheel for discount. The probability that a customer gets a 10% or 20% discount is equals to the 0.75.

At the grand opening, al's furniture store, it offered a spin the wheel for a discount to its customers. The wheel is divided into 12 equal slices.

The percentage of discount awarded by 6 slices = 10%

The percentage of discount awarded by 3 slices = 20%

The percentage of discount awarded by 2 slices = 40%

The percentage of discount awarded by 1 slices

= 100%

We have to determine the probability that a customer gets a 10% or 20% discount. As we see all slices are independent to each other so events related to these also independent.

We have total 12 slices. Since, 6 slices awarded for 10% discount i.e. chances of getting 10% discount is equal = 6/12

Similarly, 3 slices awarded for 20% discount i.e. chances of getting 20% discount is 3/12.

Hence chances of getting 10% or 20% discount is

= P( X = 20%) + P( X= 10%)

= 6/12 + 3/12

= 1/2 + 1/4

= 0.50 + 0.25

= 0.75

Hence, required value is 0.75.

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9514 1404 393

Answer:

  6.302×10^7 kg

Step-by-step explanation:

Since we want to find the difference in mass, we need to have the same exponent on both numbers. For that purpose, it is convenient to change the representation of the train's mass to 0.998×10^7 kg.

The carrier has more mass by the amount of ...

  7.3×10^7 -0.998×10^7 = (7.300 -0.998)×10^7 = 6.302×10^7 . . . kg

_____

Your (scientific or graphing) calculator or a spreadsheet can figure this for you and give you the scientific notation display.

Answer:

The answer is x=-7.25

Step-by-step explanation:

Answer:

I'm sorry I don't know the equation, but she walks 3 mph.

Step-by-step explanation:

We know that the answer is asking for speed, which needs both distance and time, so we also need both. Which is where the 9 mph is used. 9 mph means its a difference. b means biking mph, w means walking mph, sooo ----->>> b=w+9, and the difference in the 1st equation is 36, which means the first equation is 4 times larger than the b=w+9, so she walked 48 miles, as well as walked 12 miles in 4 hours. Divide then distances by 4, and you get 12 miles and 3 miles in one hour. Or 12 mph & 3 mph, which fits into 12=3+9. So she walks 3 miles per hour.

For Fatima's claim, No, the distribution is uniform with a median of 0.5 field goal percentage.

Fatima's claim is not supported by the table. The table shows that the probability of a player making 0.4 field goals is 0.2, while the probability of a player making 0.5 field goals is 0.3. This means that the distribution is not uniform, and the median is not 0.4. The median is the value in the middle of the distribution, and in this case, the median is 0.5. This is because there are more players who make 0.5 field goals than there are players who make 0.4 field goals.

The distribution is also not skewed to the right. A skewed distribution is one in which the majority of the values are on one side of the median. In this case, the values are evenly distributed on both sides of the median.

Therefore, Fatima's claim that the distribution is uniform with a median of 0.4 field goal percentage is not supported by the table.

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Answer:

15 x 2 + 7

Step-by-step explanation:

Tara bought 2 bottles for 15 day.

Total bottles bought = 15 x 2

Tara bought 7 bottles on the 16th day:

Total bottles bought = 15 x 2 + 7

The pair that has a positive correlation (relationship) between them, in general, is the years of experience of an employee and the salary of an employee. So, the correct answer is A).

A positive correlation indicates that as one variable increases, the other variable tends to increase as well. In the given pairs, the years of experience of an employee and the salary of an employee are likely to have a positive correlation.

This is because, in many job settings, employees with more experience often receive higher salaries. As individuals gain more experience and develop their skills, they become more valuable to employers, leading to increased compensation.

However, it is important to note that correlation does not imply causation, and other factors may also influence salary apart from just years of experience.  So, the correct option is A).

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To find angle between two lines, we use the formula,

Where

θ is the angle between two lines

m1 is the slope of the first line

m2 is the slope of the second line

First Line Equation:

The slope is 3/m

Second Line Equation:

The slope is -3/5

The angle between the two lines is 45°.

Let's substitute the known information into the formula and figure out the value of 'm':

Answer:

25.13

Step-by-step explanation:

C = d(\(\pi\))

d = r(2) in this case 4(2) = 8 = d

so 8(\(\pi\)) = C

C ≈ 25.13

The fractional equivalent of the repeating decimal 0.2 is 2/9

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

Repeating decimal = 0.2

Represent properly

So, we have

Repeating decimal = 0.2222

Express as fraction

So, we have

Fraction = 2/(10 - n)

In this case

n = 1

So, we have

Fraction = 2/(10 - 1)

Evaluate

Fraction = 2/9

Hence, the fractional equivalent is 2/9

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The average of the sample ranges for the weight of packages of Skittles is 0.11. So, the correct answer is (e) 0.11.

To find the average of the sample ranges for the weight of packages of Skittles, we first calculate the range for each sample. The range is the difference between the maximum and minimum values in each sample.

Sample 1: Range\(= 3.62 - 3.58 = 0.04\)

Sample 2: Range\(= 3.65 - 3.49 = 0.16\)

Sample 3: Range \(= 3.65 - 3.45 = 0.20\)

Sample 4: Range \(= 3.64 - 3.54 = 0.10\)

Sample 5: Range\(= 3.62 - 3.49 = 0.13\)

Next, we calculate the average of these sample ranges:

A\(verage = (0.04 + 0.16 + 0.20 + 0.10 + 0.13) / 5 = 0.11\)

Therefore, the average of the sample ranges for the weight of packages of Skittles is \(0.11\). So, the correct answer is (e) \(0.11.\)

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Answer:

The similar figures have dimensions equal in proportion. But in the case of congruent, the transformation of objects is done by using rotation, reflection or translation. The shape is turned or flipped to transform into another shape.

Step-by-step explanation:

The TRUE statement about the sequences or patterns developed by Craig and Emily is A. Each term in Emily's pattern is 4 times the corresponding term in Craig's pattern.

A sequence is an ordered list of numbers (which are called "terms").

A sequence follows a pattern as defined by the rule.

In Mathematics, the types of sequence include:

Craig's sequence: 1,  4,  7,   10,   13,   16,  19, starting with 1

Craig's rule = add 3 to each succeeding term.

Emily's sequence: 4, 16 28, 40,  52,  64, 76, starting with 4

Emily's rule = add 12 to each succeeding term.

Number of times Craig is contained in Emily's sequence = 4 times (76 ÷ 19) or (28 ÷ 7)

Thus, the correct statement about the patterns is Option A.

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Answer:

a

Step-by-step explanation:

Step-by-step explanation:

\(4x+1=3\\4x=3-1\\4x=2\\x=\frac{2}{4}\\x=0.5\)

Answer:

X = 0.5

Step-by-step explanation:

you cant have a number over 1 because 4 is greater then 3.

Answer: -7

Step-by-step explanation:

The equation is in slope-intercept form (y=mx+b), where m is the slope and b is the y-intercept

Therefore, the m value is -7 and it is the slope

Answer:

\(y = \frac{11}{3}x + -\frac{4}{3}\)

Step-by-step explanation:

\(y = mx + b\\m = \frac{-5 - 6}{-1 - 2} = \frac{-11}{-3} = \frac{11}{3} \\\\y = \frac{11}{3}x + b\\6 = \frac{11}{3}(2) + b\\6 = \frac{22}{3} + b \\6 - \frac{22}{3} = b \\b = -\frac{4}{3}\\\\y = \frac{11}{3}x + -\frac{4}{3}\)

Answer:

23. y = 47

Step-by-step explanation:

40 + 5x =180 (angls on a straight line add up to 180 degrees)

5x=140 (minus 40 from both sides)

x = 28 (divide both sides by 5)

3y - 1 = 140

3y =141 (add 1 to both sides)

y = 47 (divide both sides by 3)

Answer:

y=47

Step-by-step explanation:

The equation of the tangent line to the curve y = x^4 + 5x^2 - x at the point (1, 5) is y = 13x - 8.

To find the equation of the tangent line to the curve y = x^4 + 5x^2 - x at the point (1, 5), we need to find the derivative of the curve at that point, which will give us the slope of the tangent line.

Taking the derivative of y = x^4 + 5x^2 - x, we get:

y' = 4x^3 + 10x - 1

Plugging in x = 1 (since we want the tangent line at the point (1, 5)), we get:

y' = 4(1)^3 + 10(1) - 1 = 13

So the slope of the tangent line at (1, 5) is 13. To find the equation of the tangent line, we use the point-slope form of a line:

y - y1 = m(x - x1)

where m is the slope and (x1, y1) is the point we're given (in this case, (1, 5)). Plugging in m = 13 and (x1, y1) = (1, 5), we get:

y - 5 = 13(x - 1)

Expanding and simplifying, we get:

y = 13x - 8

So the equation of the tangent line to y = x^4 + 5x^2 - x at the point (1, 5) is y = 13x - 8.

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Answer:

x = -3    b no answer is 1/27000

Step-by-step explanation: