what are the steps to solve an inequality like: |n + 8| > 3 ??????

For [tex]\( n = 0, 1, \) and \( 2 \)[/tex], the inequality [tex]\( 3n < 18 \)[/tex] holds true. These are the values that satisfy the inequality.

To solve the inequality 3n < 18, we need to find values for ( n ) that make the inequality true. Here are three such values:

n = 0 , n = 1 , n = 2

Let's go through the detailed calculation step-by-step:

Starting with  n = 0:

Plug  n = 0  into the inequality:

[tex]\( 3(0) < 18 \)[/tex]

Simplify:

[tex]\( 0 < 18 \)[/tex]

Since ( 0 ) is less than ( 18 ), this statement is true.

Next,  n = 1 :

Plug  n = 1 into the inequality:

[tex]\( 3(1) < 18 \)[/tex]

Simplify:

[tex]\( 3 < 18 \)[/tex]

Again, this statement is true.

Finally, [tex]\( n = 2 \)[/tex]:

Plug [tex]\( n = 2 \)[/tex] into the inequality:

[tex]\( 3(2) < 18 \)[/tex]

Simplify:

[tex]\( 6 < 18 \)[/tex]

This statement is also true.

Therefore, for [tex]\( n = 0, 1, \) and \( 2 \)[/tex], the inequality [tex]\( 3n < 18 \)[/tex] holds true. These are the values that satisfy the inequality.

Answer:

-a(a+4)/(16 - a²)

Step-by-step explanation:

            a/(a - 4)                  Multiply by (a + 4)/(a + 4)

= a(a + 4)/[(a – 4)(a + 4)]     Multiply the denominatorator terms

= a(a + 4)/(a² - 16)               Multiply by -1/(-1)

= -a(a+4)/(-a² + 16)              Reorder terms in denominator

= -a(a+4)/(16 - a²)

Answer:

Two pairs of alternate interior angles are→1) ∠3 , ∠5 and ∠4 , ∠6

                                                               and 2) ∠7 , ∠9 and ∠8 , ∠10

Four pairs of corresponding angles are → 1) ∠1 , ∠5 and ∠2 , ∠6

                                                                     2) ∠4 , ∠8 and ∠3 , ∠7

                                                                     3) ∠5 , ∠9 and ∠6 , ∠10

                                                            and  4) ∠8 , ∠12 and ∠7 , ∠11

Step-by-step explanation:

When two parallel line cuts by a another line (transversal).Then,

Alternate interior angles → it is the pair of a angles on the inner side of each of those two lines but on opposite sides of the transversal.

hence in the given figure

1)∠3 , ∠5 and ∠4, ∠6  and 2)∠7 , ∠9 and ∠8 , ∠10 are two pairs of alternate interior angles.

Now,

Corresponding angles → the angles are the ones at the same location at each intersection.

Hence in the given figure

1) ∠1 , ∠5 and ∠2 , ∠6  2) ∠4 , ∠8 and ∠3 , ∠7  3) ∠5 , ∠9 and ∠6 , ∠10 and  4) ∠8 , ∠12 and ∠7 , ∠11 are four pairs of corresponding angles.

[tex]Use\ (a^n)^m=a^{nm}\ and\ a^3-b^3=(a-b)(a^2+ab+b^2).\\\\m^{15}=m^{5\cdot3}=(m^5)^3\\\\m^{15}-1,000=(m^5)^3-10^3=(m^5-10)[(m^5)^2+(m^5)(10)+10^2]\\\\=(m^5-10)(m^{10}+10m^5+100)\\\\Answer:\ \boxed{m^5-10}[/tex]

Final answer:

The binomial factor in the factorization of [tex]m^{15}[/tex] - 1,000 is [tex]m^{5}[/tex] - 10

Explanation:

To find the binomial factor in the factorization of [tex]m^{15}[/tex] - 1,000, we should recognize this expression as a difference of two powers. Both [tex]m^{15}[/tex] and 1,000 (which is the cube of 10, or 103), can be written as a power of their respective bases. We can factor this expression using the difference of cubes formula, which states that [tex]a^{3}[/tex] - [tex]b^{3}[/tex] = (a - b)([tex]a^{2}[/tex] + ab + [tex]b^{2}[/tex]). Applying this formula, we look for a cube of m that matches one of the options provided. The closest match here is [tex](m^{5})^3[/tex] [tex]-10^{3}[/tex], which gives us the factor of ([tex]m^{5}[/tex] - 10). Therefore, the binomial factor is [tex]m^{5}[/tex] - 10.

Do 83000 minus 47000

To estimate the population of the town in 2015, calculate the annual increase from 1950 to 2010 and use it to project the population. The population was found to be approximately 86,000 in 2015.

To determine the population of the town in 2015, we need to calculate the annual rate of population increase between 1950 and 2010 and use it to project the population for 2015. First, we find the total increase over the 60 years from 1950 to 2010:

Total increase = Population in 2010 - Population in 1950
Total increase = 83000 - 47000 = 36000

Then, we find the annual rate of increase by dividing this total increase by the number of years:

Annual Increase = Total increase / Number of years
Annual Increase = 36000 / 60 = 600

Now that we have the annual rate of increase, we can determine the population in 2015:

Population in 2015 = Population in 2010 + (Annual Increase * Number of years since 2010)
Population in 2015 = 83000 + (600 * 5) = 83000 + 3000 = 86000

The population of the town in 2015 is estimated to be 86000 given the constant rate of population increase.

Answer:

Answer below       Please give brainliest!!  

Step-by-step explanation:

Sue Black:  8x5=40 hours    40 x $6.75 = $270

Jerry Atrix:  7.25 + 3 + 6.75 + 8 + 5 = 30 hours

                    30 x $5.15 = $154.50

Sam Ting:  7.75 x 5 = 38.75 hours

                 38.75 x $8.75 = 339.0625 = $339.06

Answer:

Yee it's the second one I took the edge test don't worry I"m right even tho I have wrong grammar

Step-by-step explanation:

Answer:

x- intercept = [tex]\frac{4}{3}[/tex]

Step-by-step explanation:

to find the x-intercept, that is where the line crosses the x-axis.

let y = 0 in the equation and solve for x, that is

3x - 4 = 0 ( add 4 to both sides )

3x = 4 ( divide both sides by 3 )

x = [tex]\frac{4}{3}[/tex] or ( [tex]\frac{4}{3}[/tex], 0 )

Answer:

x-intercept is 4/3.

Step-by-step explanation:

We have been given the linear equation [tex]y=3x-4[/tex]

For x-intercept, y = 0

Hence, plugging y=0 in the equation and solve for x

[tex]3x-4=0[/tex]

Add 4 to both sides

[tex]3x=4[/tex]

Divide both sides by 3

[tex]x=\frac{4}{3}[/tex]

Hence, x-intercept is 4/3.

Answer:

your speed is 135 mph

Step-by-step explanation:

Answer:

p= 2l+2b

Step-by-step explanation:

distribution

Answer:

P = 2 * 1 + 2 * B

Step-by-step explanation:

This equation needs to be written using the distributive property:

A (B + C) = A * B + A * C

Put in the numbers:

P = 2 (1 + B)

=

P = 2 * 1 + 2 * B

Best Of Luck,

- I.A. -

Answer:

The simplified version of this would be (63 - 19x)/2

Step-by-step explanation:

In order to find this, we first distribute the numbers outside of the parenthesis.

13(11-3x)-5(16-4x)/2

143 - 39x - 80 + 20x/2

Then we combine like terms

(63 - 19x)/2

The total is $21 + $6 or $27.

There are 3 students.

Let p = how much each student will pay

p = $27 ÷ 3 students

p = $9

Each student will pay $9.

The answer is $9 each

Answer:

7 out of 35 play basketball. Since you are only asking for 7 you take 7 and divide iy by 35. When you divide you get .2 0r 20%.

Your answer is 20%

Step-by-step explanation:

Answer:

20%

Step-by-step explanation:

It would be 20% because 35/7 is 5 and 5 goes into 100% 20 times.

Answer:

2 out of 10 or 2/10

Step-by-step explanation:

1 brown shoes + 7 black shoes = 8

that means there were 2 other students wearing neither so out of the 10 students 2 weren't wearing black or brown shoes making 2/10

Answer:2 student not wearing any of the color

Step-by-step explanation:

1 student wearing brown                             Brown and black 1+7=8

7student wearing black

And 2 students wearing none of the above

So the answer would be 2 kids not wearing black or brown

Hope this helped

Answer:

[tex]\frac{(L x M)}{6}[/tex]

Step-by-step explanation:

The greatest common factor is the greatest number that will divide two values. We have two values L and M. Each has numbers which multiply together to give the number. The highest value or most in common they share is 6. This is the GCF.

The least common multiple is the smallest positive number which is a multiple of the two. This means both L and M divide into it evenly.

We know L x M is a multiple because L and M will be factors of it. But we don't know its the least.

As an example if L= 42 and M = 60, they have GCF 6. We can multiply them to find a multiple 42 x 60 = 2520 but we don't know this is the smallest or least multiple we can find. If we divide by the GCF, 2520/6=420. Interestingly, 42 x 10 =420 and 60 x 7 =420. This means 420 is the least common multiple.

We can multiply (L x M) and then divide by the GCF of L & M to find the least common multiple.

[tex]\frac{(L x M)}{6}[/tex]

Answer:

The expected value per customer = $6.35.

Step-by-step explanation:

The probability for a $3 commission = 15% = 0.15.

The probability for a $5 commission = 30% = 0.30.

The probability for a $8 commission = 55% = 0.55.

So, the expected value per customer = 3(0.15) + 5(0.30) + 8(0.55)

= 0.45 + 1.50 + 4.40

= 6.35.

Hence, the expected value per customer = $6.35.

Answer:

x=60.56, x=-82.56

Step-by-step explanation:

Solve using quadratic formula

Formula is

[tex]x=\frac{-b+-\sqrt{b^2-4ac}}{2a}[/tex]

0.05x^2 + 1.1x = 250

Subtract 250 on both sides

0.05x^2 + 1.1x - 250=0

a= 0.05, b=1.1 , c=-250

Plug in the values in the formula

[tex]x=\frac{-1.1+-\sqrt{(1.1)^2-4(0.05)(-250)}}{2(0.05)}[/tex]

[tex]x=\frac{-1.1+-7.156116265}{0.1}[/tex]

Now make two equations , one with +  and one with -

then we solve for x

[tex]x=\frac{-1.1+7.156116265}{0.1}[/tex]

x=60.56

[tex]x=\frac{-1.1-7.156116265}{0.1}[/tex]

x=-82.56

The solutions for (x) are approximately [tex]\(x_1 \approx 47.5\) and \(x_2 \approx -549.5\).[/tex]

To solve the equation \(0.05x^2 + 1.1x = 250\) using the quadratic formula, follow these steps:

1. Identify the coefficients in the equation: \(a = 0.05\), \(b = 1.1\), and \(c = -250\).

2. Apply the quadratic formula: \[x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\]

3. Substitute the coefficients into the formula and calculate the solutions for \(x\).

The final answer will provide the values of \(x\) obtained from the quadratic formula.

1. Identify the coefficients:

  - \(a = 0.05\)

  - \(b = 1.1\)

  - \(c = -250\)

2. Apply the quadratic formula:

[tex]\[x = \frac{-1.1 \pm \sqrt{(1.1)^2 - 4 \cdot 0.05 \cdot (-250)}}{2 \cdot 0.05}\][/tex]

3. Calculate the solutions for \(x\):

[tex]\[x_1 = \frac{-1.1 + \sqrt{1.21 + 500}}{0.1} \approx 47.5\][/tex]

[tex]\[x_2 = \frac{-1.1 - \sqrt{1.21 + 500}}{0.1} \approx -549.5\][/tex]

Answer:There is high probability that getting two green marbles.

Step-by-step explanation:

Answer:

275.38 - 174.89 - 57.76 = -25.27

-25.27 + 250.00 + 350 = 574.73

Jim's Bank Balance at the end of the month is $574.73

Answer:

Jim's Bank Balance at the end of the month is $574.73

Step-by-step explanation:

Jim's Bank Balance at the beginning of the month = $275.38

LESS :- Checks paid during the month

(-) 1st Check                                                                 = $174.89

(-) 2nd Check                                                               = $68

(-) 3rd Check                                                                = $57.76

ADD :- Deposits made in bank

(+) 1st Deposit                                                               = $250

(+) 2nd Deposit                                                             = $350

TOTAL                                                                           = $574.73

Jim's Bank Balance at the end of the month is $574.73

Answer:

its A

Step-by-step explanation:

the y intercept would be -4 and the slope would be -23, put it in y=mx+b form

Final answer:

The equation of a line with a slope of -23 and a y-intercept of -4 is y = -23x - 4, which corresponds to the option A.

Option A is correct.

Explanation:

The equation of a line is typically written in the slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept. For a line with slope −23 and a y-intercept of −4, we substitute the given values  −23 for m and −4 for b to get the equation y = −23x −4. Therefore, the correct option is A. y=−23x−4.

The correct statement is: The enthalpy of the reaction is –184.6 kJ, and the reaction is exothermic because in an exothermic reaction, heat is released to the surroundings, leading to a decrease in enthalpy.

The correct statement is: The enthalpy of the reaction is –184.6 kJ, and the reaction is exothermic. Enthalpy is a measure of the total energy of a thermodynamic system. If the enthalpy decreases during a reaction (negative sign), it implies that heat has been released to the surroundings, which is characteristic of an exothermic reaction. On the other hand, an endothermic reaction absorbs heat from the surroundings, leading to an increase in enthalpy (positive sign).

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The correct statement is 'The enthalpy of the reaction is –184.6 kJ, and the reaction is exothermic'. When enthalpy of a reaction is negative, it means the energy is being released to surroundings, indicating an exothermic reaction.

The correct statement is 'The enthalpy of the reaction is –184.6 kJ, and the reaction is exothermic'. In chemistry, when the enthalpy of a reaction is negative, it indicates that the reaction is exothermic. Exothermic reactions release energy in the form of heat to the surroundings. Thus, if the enthalpy of the reaction is -184.6 kJ, it means the reaction is releasing 184.6 kJ of energy to its surroundings making it an exothermic reaction. In contrast, endothermic reactions absorb heat energy from the surroundings, indicated by a positive enthalpy.

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The standard form of speed of light is 300000 kilometers per second

Here the standard form means converting the given expression to the simple expression .

So, 3x10^5 can be written as 3 x 100000

By multiplying we get 300000

So, the standard form of speed of light is 300000 kilometers per second

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Answer:

number 1 is A    number 2 i don't know

Step-by-step explanation:

Answer:

0.10 for 1/4 of a mile so 8 would be 32 times more. Which would be .1 x 32 or $3.20

Step-by-step explanation:

Plz mark brainliest :3

Answer:

An equation for the inverse variation y = 2 when x = 5 is:

y=10/x

Step-by-step explanation:

Suppose that y varies inversely with x:

y=k/x

Write an equation for the inverse variation y = 2 when x = 5

Substituting y by 2 and x by 5 in the formula above:

2=k/5

Solving for k: Multiplying both sides of the equation by 5:

5(2)=5(k/5)

10=k

k=10

Then the equation is:

y=k/x

y=10/x

Answer:

a. Right triangle b. isosceles triangle c. scalene triangle

Answer:

a.  right, scalene

b.  isosceles and acute

c. obtuse and scalene

Step-by-step explanation:

A triangle with a 90 degree angle is a right triangle. Since none of the sides are marked as the same length, we can assume they are not equal, and therefore are scalene ( no sides the same length)

A triangle with 2 angles that are equal is an isosceles triangle.  In this diagram, none of the angles appear to be larger than 90 degrees.  If none of the angles are larger than 90 degrees, than the triangle is acute.

A triangle with with an angle larger than 90 degrees is an obtuse triangle.  Since none of the sides are marked as the same length, we can assume they are not equal, and therefor are scalene ( no sides the same length)

I think the answer might be J 3(-4) since there are 3, -4 jumps.

Answer: 10

If the line is a perfect fit, then all 10 points are on the same straight line. On the other side of the spectrum, we could have all 10 points not on the line but close enough to it. If the points are too scattered randomly, or they fit a non-linear curve better, then a linear regression line is a bad idea. You can use a correlation coefficient to determine how best the linear fit is.