(x-2) + (x+6)
Please help me with this it is 7th grade pre algebra.

Answer:

50.265m^3

Step-by-step explanation:

because the formula for solving this problem is πr^2•height and then to finish solving it would have to be put into cubed as it's 3d

Answer & Step-by-step explanation:

When we see the phrase "rate of change" then it means that we are looking for the slope. So, we will need to know the formula for finding slope or the rate of change.

\(slope=\frac{y_2-y_1}{x_2-x_1}\)

Now, let's use this equation to solve for the rate of change of each question.

Problem 1:

\(Slope=\frac{2-\frac{4}{3}}{0-(-1)}\\\\Slope=\frac{\frac{2}{3}}{1}\\\\Slope=\frac{2}{3}\)

The rate of change of this equation is 2/3

Problem 2:

\(Slope=\frac{4-2}{1-0}\\\\Slope=\frac{2}{1}\\\\Slope=2\)

The rate of change for this equation is 2

Problem 3:

\(Slope=\frac{10-4}{2-1}\\\\Slope=\frac{6}{1}\\\\Slope=6\)

The rate of change for this equation is 6

The answer of the Question EJERCICIO DE ECUACIONES (A) x con 2 (B) x con 1 (C) x con 5 (D) x con 2 (E) x con 4

4 + 6x - 12 - 2x
= (6x - 2x) + (4 - 12)
= 4x - 8
Comprobación:
Reemplazamos x con 2:
4 + 6(2) - 12 - 2(2) = 8

B) 8x + x + x = 10
= 10x = 10
= x = 1
Comprobación:
Reemplazamos x con 1:
8(1) + 1 + 1 = 10

C) 2x - 16 - 4
= 2x - 20
Comprobación:
Reemplazamos x con 5:
2(5) - 16 - 4 = 6

D) 5x - 8 = 12 - 5x
= 10x = 20
= x = 2
Comprobación:
Reemplazamos x con 2:
5(2) - 8 = 12 - 5(2)

E) 12 + 4x + 8 = 36
= 4x = 16
= x = 4
Comprobación:
Reemplazamos x con 4:
12 + 4(4) + 8 = 36

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A point, a line, and a plane are undefined words in geometry.

A subfield of mathematics called geometry examines the dimensions, placements, angles, and sizes of objects.

2D shapes, which include flat shapes such squares, circles, and triangles, are a subset of flat geometry. The length and width are the only 2 dimensions of these forms.

A solid figure, object, or shape with three dimensions—length, breadth, and height—is referred to as a three-dimensional shape in geometry. Three-dimensional shapes contain thickness or depth, in contrast to two-dimensional shapes.

In terms of geometry, an angle is the shape created when two rays intersect at a single terminal. The sign is used to denote an angle. A protractor is used to measure angles in degrees (°).

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The probability of rolling an odd number on a die and getting a head on a coin toss is 1/4. Therefore, the correct answer is (c) 1/4.

The probability of two independent events occurring simultaneously: rolling an odd number on a die and getting a head on a coin toss. To find the probability, we'll multiply the probabilities of each event.

1. Probability of rolling an odd number on a die:
There are 3 odd numbers (1, 3, 5) and 6 possible outcomes (1, 2, 3, 4, 5, 6). So the probability is 3/6, which simplifies to 1/2.

2. Probability of getting a head on a coin toss:
There are 2 possible outcomes (heads or tails), and 1 of them is heads. So the probability is 1/2.

Now, we'll multiply the probabilities: (1/2) * (1/2) = 1/4.

So the probability of rolling an odd number on a die and getting a head on a coin toss is 1/4. Therefore, the correct answer is (c) 1/4.

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Answer:

798.82

Step-by-step explanation:

round 798.824

Answer:

563.76

here ya go

Answer:

563.76

Step-by-step explanation:

(8.59 x 104) - (3.2 x 103)

893.36 - 329.6

=563.76

Answer:

The 14 oz bottle has the lowest cost per ounce.

Step-by-step explanation:

$3.36/14

Answer:

Step-by-step explanation:

There are 12 possible cards you can choose.

There are 3 possible results for the spinner.

There are 2 possible results for the coin toss.

When doing all 3 events:

      Total possibilities \(=12\times 3 \times 2=72.\)

SOLUTION:   72

Answer:

Step-by-step explanation:

If the lengths of two sides of a triangle are given the third side must be less than the sum of those two sides, but more than the value of the difference between the given two sides.

So for #9, the answer is 4 (which is 12-8) <x<16 (which is 12+8)

#10. 10<x<16

#11. 19<x<61

#12. 6<x<16

Below are what would happen if the 3rd side was too big (left) or too small (right)

Answer:

you need to be more specific.

Step-by-step explanation:

Answer: 10 hours

Step-by-step explanation:

happy to help

Answer(s):

\(\displaystyle y = -29sin\:(\frac{\pi}{6}x + \frac{\pi}{2}) + 44\frac{1}{2} \\ y = -29cos\:\frac{\pi}{6}x + 44\frac{1}{2}\)

Step-by-step explanation:

\(\displaystyle y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 44\frac{1}{2} \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{-3} \hookrightarrow \frac{-\frac{\pi}{2}}{\frac{\pi}{6}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{12} \hookrightarrow \frac{2}{\frac{\pi}{6}}\pi \\ Amplitude \hookrightarrow 29\)

OR

\(\displaystyle y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow 44\frac{1}{2} \\ Horisontal\:[Phase]\:Shift \hookrightarrow 0 \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{12} \hookrightarrow \frac{2}{\frac{\pi}{6}}\pi \\ Amplitude \hookrightarrow 29\)

You will need the above information to help you interpret the graph. First off, keep in mind that although this looks EXACTLY like the cosine graph, if you plan on writing your equation as a function of sine, then there WILL be a horisontal shift, meaning that a C-term will be involved. As you can see, the centre photograph displays the trigonometric graph of \(\displaystyle y = -29sin\:\frac{\pi}{6}x + 44\frac{1}{2},\)in which you need to replase "cosine" with "sine", then figure out the appropriate C-term that will make the graph horisontally shift and map onto the cosine graph [photograph on the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so you must be careful with your calculations. So, between the two photographs, we can tell that the sine graph [centre photograph] is shifted \(\displaystyle 3\:units\)to the right, which means that in order to match the cosine graph [photograph on the left], we need to shift the graph BACKWARD \(\displaystyle 3\:units,\)which means the C-term will be negative, and by perfourming your calculations, you will arrive at \(\displaystyle \boxed{3} = \frac{-\frac{\pi}{2}}{\frac{\pi}{6}}.\)So, the sine graph of the cosine graph, accourding to the horisontal shift, is \(\displaystyle y = -29sin\:(\frac{\pi}{6}x + \frac{\pi}{2}) + 44\frac{1}{2}.\)Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit \(\displaystyle [12, 15\frac{1}{2}],\)from there to the y-intercept of \(\displaystyle [0, 15\frac{1}{2}],\)they are obviously \(\displaystyle 12\:units\)apart, telling you that the period of the graph is \(\displaystyle 12.\)Now, the amplitude is obvious to figure out because it is the A-term, but of cource, if you want to be certain it is the amplitude, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at \(\displaystyle y = 44\frac{1}{2},\)in which each crest is extended twenty-nine units beyond the midline, hence, your amplitude. Now, there is one more piese of information you should know -- the cosine graph in the photograph farthest to the right is the OPPOCITE of the cosine graph in the photograph farthest to the left, and the reason for this is because of the negative inserted in front of the amplitude value. Whenever you insert a negative in front of the amplitude value of any trigonometric equation, the whole graph reflects over the midline. Keep this in mind moving forward. Now, with all that being said, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

It needs to be 2s if you look at the graph it should show

Answer:

2 seconds

Step-by-step explanation:

Answer: (D) --> 4 2/3

Step-by-step explanation:

1st --> Turn the problem into an improper fraction using the reciprocal

2nd --> Turn the improper fraction into a mixed answer

1250$,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,

On solving the provided question we can say that the equations are  y = 3x - 6 and y = -2x + 8

A mathematical equatiοn is a fοrmula that joins two statements and uses the equal symbol (=) to indicate equality. A mathematical statement that establishes the equality of twο mathematical expressions is known as an equation in algebra. Fοr instance, in the equatiοn 3x + 5 = 14, the equal sign places the variables 3x + 5 and 14 apart. The relatiοnship between the twο sentences οn either side of a letter is described by a mathematical formula. Often, there is οnly one variable, which alsο serves as the symbοl, fοr instance, 2x – 4 = 2.

the equations are

y = 3x-6

y = -2x+8

3x - 6 = -2x+8

5x -6 = 8

5x = 14

x = 14/5

Now solve for y:

y = 3(14/5) - 6

y = 42/5 - 6

y=42/5 - 30/5

y = 12/5

The position 12/5 is where these two lines cοnverge. The triangle created by these two lines and the x-axis has a height equal to this.

So that we can identify the triangle's base, let's lοcate the roots of these equations (where they contact the x-axis).

Put a 0 in both equations.

(I) 0 = 3x - 6  

6 = 3x

x = 2  

Set the second equation equal to 0.

(II)  y = -2x+8

2x = 8

x = 8/2

x = 4

The triangle has a base between the numbers (2, 0) and (4, 0), giving it a length of two units.

The triangle has a height of 12/5 units.

Area of a Triangle:

A = 1/2bh

A = (1/2) · (2) · (12/5)

A = 12/5

The region between the x-axis that is enclosed by the lines y = 3x - 6 and y = -2x + 8 has a 12/5 unit area.

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Step-by-step explanation:

Here's two ways you can solve, both involving addition but with fractions and with decimals.

With fractions, you can add 1/4 + 1/10 but you need a common denominator. In this case, the least common multiple between the two is 20, so multiply 1/4 by 5/5 and 1/10 by 2/2. Now, the fractions look like: 5/20 + 2/20 = 7/20, meaning she used 7/20 cups.

On the other hand, these fractions can be easily converted to decimals. 1/4 is 0.25 and 1/10 is 0.1. Add the two, and you get 0.35 cups.

Answer:

50 g

Step-by-step explanation:

It is important to note first the following:

and

The first condition given in the question is tan θ > 0 hence, we can assume that both x and y are either positive or negative so that we can have a positive number.

This means our θ falls either in Quadrant I or Quadrant III because the coordinate in Quadrant I are (+, +) while in Quadrant III is (-, -).

Now, the second condition given is that sec θ > 0, hence, we can assume that the value of "x" has to be positive so that sec θ will be greater than zero.

Between Quadrant I and Quadrant III, Quadrant I has a positive x value. Hence, θ is found in Quadrant I.

Answer:

- 1 1/4

Step-by-step explanation:

-9 1/4 + 8 = -1 1/4

Answer:

1 19/24 or 1.791666667

Step-by-step explanation:

-7/8 - (-8/3)

open bracket

-7/8 + 8/3

LCM of 8&3 = 24

-21 + 64

-------------

24

= -21 + 64 = 43

43/24

= 1 19/24 or 1.791666667

A total of 55.86 minutes have gone by since Greg started his run on the treadmill.

If Greg has completed 57% of his run, it means he has 43% of his run remaining.

To find out how many minutes have gone by, we can use proportions.

Let's say x is the total number of minutes Greg needs to complete his run:

x = 57% * 98 minutes

Evaluate

x =  minutes

Therefore, approximately 55.86 minutes have gone by since Greg started his run on the treadmill.

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When 293 college students are randomly selected and surveyed, it is found that 114 own a car. The upper limit for the 90% confidence interval for the percentage of all college students who own a car is 46.3%.

The given problem is an example of confidence intervals in statistics. The formula for finding the confidence interval in percentage is given below:

Confidence Interval in Percentage = P ± Z Score x √ (PQ/n)

where

P = Sample proportion

Q = 1 - P

n = Sample Size

Z Score is obtained from the Z-Table where the confidence level is given.

To obtain the upper limit, the following formula should be used:

Upper Limit of the Confidence Interval = P + Z Score x √ (PQ/n)

Substitute the given values of the question into the formula:

P = 114/293 = 0.3891

Q = 1 - 0.3891 = 0.6109

n = 293

The upper limit for the 90% confidence interval is given by the Z-Table at 1.645:

Upper Limit of the Confidence Interval = 0.3891 + 1.645 x √ [(0.3891 x 0.6109)/293]

≈ 0.3891 + 1.645 x 0.0467

≈ 0.3891 + 0.07701

≈ 0.4661 = 46.3%

Therefore, the answer is 46.3%.

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The quadrilateral is a parallelogram because the pairs of opposite sides of the quadrilateral are parallel, ABCD is a parallelogram.

Given:- A quadrilateral ABCD in which AB=CD and AD=BC.

To prove:- AB∥CD and AD∥BC

Construction:- Joi A and C.

Proof:-

In △ABC and △CDA,

AB=CD(Given)

AD=BC(Given)

AC=AC(Common)

∴△ABC≅△CDA(By SSS)

Therefore, by CPCTC,

∠ACD=∠BAC

∠DAC=∠ACB

Since alternate angles are equal, thus the lines are parallel.

Therefore,

AB∥CD and AD∥BC

Since both the pairs of opposite sides of the quadrilateral are parallel, ABCD is a parallelogram.

Hence proved.

A quadrilateral in geometry may be a four-sided polygon with four sides and four corners (vertices). The Latin words Quadri, a variation of 4, and latus, meaning "side," are the source of the name. In regard to other polygons, it's also known as a tetragon, from the Greek "tetra" for "four" and "gon" for "corner" or "angle" (e.g. pentagon). Since "gon" is an anagram for "angle," it's also known as a quadrilaterals or 4-angle.

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Answer:

$50(1.05) = $52.50

Jody had to pay $52.50 to Tong for the month.

The inequality that shows the minimum amount of Isaac is x ≥ $2,455.21

What is inequality?

An inequality is a mathematical statement that compares two expressions and expresses the relationship between them. It is represented by a symbol such as ">", "<", "≥", or "≤" and can be thought of as a generalization of an equation.

First, we need to find Isaac's monthly gross income. Since he has a bi-weekly gross income of $1,925, we can calculate his monthly gross income as follows:

Monthly gross income = bi-weekly gross income x 26 / 12 = $1,925 x 26 / 12 = $4,158.33

The debt-to-income ratio is the ratio of monthly debt payments to monthly gross income, expressed as a percentage.

We want to find the minimum amount by which Isaac needs to reduce his monthly debt payments to have a debt-to-income ratio of 35%.

So we can set up the following inequality:

Minimum monthly debt payments / Monthly gross income ≤ 35% / 100%

Substituting the given values, we get:

$3,915 / $4,158.33 ≤ 0.35

Simplifying this inequality, we get:

0.9407 ≤ 0.35

This inequality is not true, so we made an error in our calculations. Let's check the calculation of monthly gross income. We should have:

Monthly gross income = bi-weekly gross income x 26 / 12 = $1,925 x 26 / 12 = $4,158.33

This calculation is correct. The problem is that the minimum monthly debt payments of $3,915 are already higher than what is allowed by the debt-to-income ratio of 35%. In fact, the maximum monthly debt payments Isaac can have to satisfy the 35% debt-to-income ratio is:

Maximum monthly debt payments = Monthly gross income x 35% = $4,158.33 x 35% = $1,454.92

Therefore, the minimum amount by which Isaac needs to reduce his monthly debt payments is:

$3,915 - $1,454.92 = $2,460.08

Rounding this to two decimal places, we get $2,460.09, which is closest to the fourth option:

x ≥ $2,455.21

Hence,  the inequality that shows the minimum amount of Isaac is x ≥ $2,455.21

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Answer:

Step-by-step explanation:

2x + 4x + 180

We have to do combine like terms.

2x and 4x are like terms, so add 2x to 4x. Which gives you 6x. Now you have the expres 6x + 180. You can’t find the variable for this expression, its unsolvable. If you meant, “2x + 4x = 180” Then yes, it would be solvable.

All you would have to do Is, 2x + 4x which gives you 6x, and now divide both side by 6. 6x divided by 6, the two 6 would cancel out, and 180 divide by 6, leaving you with 30. So x should equal to 30.

The mean will be the middle number or 12.1.

According to our question-

The median is the middle number  in the data set when the data set is written from least to greatest.

least to greatest 4.8, 6.9, 12.1, 14.8, 16.2

Hence, The mean will be the middle number or 12.1.

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