Evaluate: -8/9 + 4/9 - 2/9

A. -14/9
B. -2/3
C. 10/9
D. -1/3

Answer: B 124

Step-by-step explanation:

When you have problems like this, you would add the two angles inside the triangle to get the measurement for the outer angle. so 37 + 87 equals 124.

Answer:

x=0.2

hope this helps

have a good day :)

Step-by-step explanation:

Energy consumption is the amount of power used over time, measured in watt-hours (Wh) or kilowatt-hours (kWh). It is calculated by multiplying the power (measured in watts) by the time for which it is used.

To calculate energy consumption, you will need to know the amount of power being used and the time over which it is being used. Power is typically measured in watts (W), and energy is the product of power and time, so energy consumption is the number of watts used multiplied by the number of hours for which they are used.

For example, let's say you want to calculate the energy consumption of a light bulb that uses 60 W of power and is left on for 4 hours. The energy consumption would be:

Energy consumption = 60 W * 4 hours = 240 Wh (watt-hours)

This is the amount of energy that the light bulb used over the 4-hour period.

You can also convert watt-hours to other units of energy, such as kilowatt-hours (kWh). To do this, you would divide the watt-hours by 1,000. In the example above, the energy consumption would be 0.240 kWh.

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If a < b, we can say that b is to the right of a on the number line. In other words, a is to the left of b.

A number line is a horizontal line with evenly spaced number increments. The numbers on the line will determine how the number on the line can be answered. The question that goes with the number determines how it will be used, such as plotting a point.

If a b, then b is to the right of a on the number line. To put it another way, an is to the left of b.

This is because the number line depicts the order of real numbers, with smaller numbers to the left and larger numbers to the right. Because an is less than b, it is a smaller number and must be to the left of b on the number line.

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Answer:

(3,1)

Step-by-step explanation:

You must work 12.5 hours as a landscaper to earn a total of $400 per week.

Let x be the number of hours worked as a landscaper.

The amount earned from working at the gas station is:
30 hours/week * $8.75/hour = $262.50/week

The amount earned from working as a landscaper is:
x hours/week * $11/hour = $11x/week

To earn a total of $400 per week:
$262.50/week + $11x/week = $400/week

Simplifying the equation:
$11x/week = $400/week - $262.50/week
$11x/week = $137.50/week

Solving for x:
x = 12.5 hours/week

Therefore, you must work 12.5 hours as a landscaper to earn a total of $400 per week.

A landscaper is a professional who designs and maintains outdoor spaces such as gardens, lawns, parks, and other landscapes. Landscaping involves a range of activities, including planting, pruning, mowing, trimming, fertilizing, and watering. Landscapers may work on both residential and commercial properties, and may be employed by individuals, businesses, or government agencies.

The primary goal of a landscaper is to create and maintain beautiful and functional outdoor spaces. This may involve working with a variety of plants, trees, and other natural elements, as well as hardscape features such as walls, walkways, and water features. Landscapers must have a strong knowledge of plants and landscaping techniques, as well as an eye for design and aesthetics.

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Answer: 52.38%

Step-by-step explanation:

11 out of 21

11/21

.5238

52.38%

Answer:

Step-by-step explanation:

y = -2x - 3

7x - 5y = -6

7x - 5(-2x - 3) = -6

7x + 10x + 15 = -6

17x = -21

x = -21/17

y =  -2(-21/17) - 51/17

y = 42/17 - 51/17

y = -9/17

(-21/17, -9/17)

The correct option will be a number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right. Option D is correct

Inequality expressions are expressions not separated by an equal sign.

Given the expression below

3(8 – 4x) < 6(x – 5)

Expand

24 - 12x < 6x - 30

Collect like terms

-12x - 6x < -30 - 24

-18x < -54

x > 3

Hence the number line will be a number line from negative 5 to 5 in increments of 1. An open circle is at negative 3 and a bold line starts at negative 3 and is pointing to the right.

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The likelihood that every girl is on the same team is 1/252.

A probability is a numerical representation of the possibility or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

Since the team's student lineup is not crucial, a mixture will be employed.

C(10,5) = 252 is the number of possible methods to choose 5 students from a class of 10.

Rest Team B will consist of 5 students. Consequently, there are 252 items in the sample space.

Let two women join team A. then the number of methods for choosing the final three members from the eight remaining members C(8,3) = 56

Likewise if two girls are in team B then possible number of different groups is 56.

Therefore total number of different groups such that two girls  are in one team is 56+56 = 112.

The required probability is

P(two girls  are in one team) = 112 / 252

Number of ways of selecting all girls in one team and boys in another team is 1. So required probability is

P( girls in one team) = 1/ 252

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In order to make a profit, John must sell at least 61 doll houses.

Inequalities are expression which looks like equations but instead of '=' sign, there uses inequality signs like >, <, ≥, ≤ and ≠.

John has a cost of $2,000 per year plus a cost of $27 per doll house.

Total cost = $2000 + $27 per doll.

Let x be the number of doll houses he make to get a profit.

Total cost for the x doll houses = $2000 + ($27 × x)

Selling price of x doll houses = $60 × x

In order to make a profit, selling price must be greater than the total cost.

⇒ 60x > 2000 + 27x

⇒ 60x - 27x > 2000

⇒ 33x > 2000

⇒ x > 2000/33

⇒ x > 60.6 ≈ 61

So the number of doll houses he sell must be at least 61.

Hence John must sell at least 61 doll houses in order to make the profit.

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Answer:

1 794 that good answer I think

The maximum amount Kathy can contribute to a SEP IRA for 2021 is determined by her net self-employment income. It is calculated as 25% of her net earnings, up to a certain limit.

For self-employed individuals like Kathy, the maximum contribution to a SEP IRA is calculated based on their net self-employment income. In 2021, the contribution limit is 25% of net earnings, up to a maximum limit of $58,000. To calculate the maximum contribution, Kathy needs to determine her net earnings from self-employment. Net earnings are calculated by subtracting business expenses from revenues. In Kathy's case, her net earnings would be $111,000 - $42,200 = $68,800.

Since the contribution limit is 25% of net earnings, Kathy can contribute a maximum of 25% of $68,800, which is $17,200. However, it's important to note that the contribution cannot exceed the maximum limit of $58,000. Therefore, in Kathy's situation, the maximum amount she can contribute to a SEP IRA for 2021 is $17,200.

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The limit as x approaches one is infinity.

\(lim_{x\to1}\frac{x + x {}^{2} + {x}^{3} + ... + {x}^{100} - 1000}{1 - x} =\infty\)

The limit of a function, f(x) as x approaches a given value b, is define as the value that the function f(x) attains as the variable x approaches the given value b.

From the given question, as x approaches 1,

substituting x into 1 - x,

the denominator of the function approaches zero, because 1 - 1 = 0 and thus the function becomes more and more arbitrarily large.

Thus, the limit of the function as x approaches 1 is infinity.

Therefore,

The limit (as x approaches 1)

\(lim_{x\to1}\frac{x + x {}^{2} + {x}^{3} + ... + {x}^{100} - 1000}{1 - x} = \infty \)

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By using the box method, the terms of the equation should be distributed and simplified as follows;

         3x            x²

1         3x            x²

6x      18x²         6x³

In Mathematics, the distributive property of multiplication states that when the sum of two or more addends are multiplied by a particular numerical value, the same result and output would be obtained as when each addend is multiplied respectively by the same numerical value, and the products are added together.

Next, we would multiply both sides of the equation together in order to open the bracket as follows;

(3x + x²)(1 + 6x)

3x(1) + 3x(6x) + x²(1) + x²(6x)

3x + 18x² + x² + 6x³

By combining like terms and rearranging the equations, we have:

6x³ + 19x² + 3x.

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The correct answers are:

Part A: \($f(x) = (2x + 1)(x - 5)$\)

Part B: x-intercepts: \(x = -1/2$, $x = 5$\)

Part C: End behavior: As \(x\) approaches \(\pm \infty$\ , $f(x)$\) approaches \($\infty$\)

Part D: Steps to graph: Plot x-intercepts \(\frac{-1}{2} \ and \ (5,0)\), and consider the upward-opening parabola shape indicated by the end behavior.

These will be obtained as:

Part A: The function \(f(x) = 2x^2 - 3x - 5\) can be factored as \(f(x) = (2x + 1)(x - 5).\)

Part B: To find the x-intercepts of the graph, we set \(f(x) = 0\) and solve for \(x\):

\(2x^2 - 3x - 5 = 0.\) Using factoring or the quadratic formula, we find \(x = \frac{1}{2}\) and \(x=5\) as the x-intercepts.

Part C: The end behavior of the graph of \(f(x)\) is described as follows: As \(x\) approaches positive or negative infinity, the function approaches positive infinity. This is because the leading term, \(2x^2\), dominates the function.

Part D: To graph f(x), we can use the x-intercepts obtained in Part B\(\frac{-1}{2} \ and \ 5\) to plot the points on the x-axis. Additionally, using the information from Part C, we know that the graph will rise to positive infinity as x approaches infinity and also as x approaches negative infinity. We can use this information to sketch the overall shape of the graph, which resembles an upward-opening parabola.

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Answer:

\(\\\sf7x^3 - 2x^2 - 5\)

Step-by-step explanation:

\(\\\sf(6x^3 + 3x^2 - 2) + (x^3 - 5x^2 - 3)\)

Remove parenthesis.

6x^3 + 3x^2 - 2 + x^3 - 5x^2 - 3

Rearrange:

6x^3 + x^3 + 3x^2 - 5x^2 - 2 - 3

Combine like terms to get:

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

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Answer:

7x³ - 2x² - 5

Step-by-step explanation:

(6x³ + 3x² - 2) + (x³ - 5x² - 3)

Remove the round brackets.

= 6x³ + 3x² - 2 + x³ - 5x² - 3

Put like terms together.

= 6x³ + x³ + 3x² - 5x² - 2 - 3

Do the operations.

= 7x³ - 2x² - 5

____________

hope this helps!

Explanation:

The starting term is a = 10.

The common ratio r is found by dividing each term by its previous term.

The nth term is therefore \(a_n = a(r)^{n-1} = 10(-5)^{n-1}\)

Plug in n = 12 to get the 12th term:

\(a_n = 10(-5)^{n-1}\\\\a_{12} = 10(-5)^{12-1}\\\\a_{12} = 10(-5)^{11}\\\\a_{12} = 10(-48,828,125)\\\\a_{12} = -488,281,250\\\\\)

Delete the commas if your teacher requires it.

In 2015, the cost of a complete bathroom package represented D.  14% of the monthly average household expenditures for the bottom 40% of the poorest population.

This means that out of the total monthly expenses of these households, 14% was spent on bathroom packages. This percentage highlights the financial burden that bathroom expenses placed on these families, as they had to allocate a significant portion of their limited resources towards this essential facility.

Among the given answer choices - a. 40%, b. 5%, c. 27%, and d. 14% - the correct answer is d. 14%, as this is the percentage mentioned in the question. The other percentages do not apply to the context of the question and therefore can be disregarded.

In summary, the cost of a complete bathroom package in 2015 accounted for 14% of the monthly average household expenditures of the bottom 40% of the poorest population. This percentage reflects the financial strain on these households to meet their basic needs, including essential facilities like bathrooms. Therefore the correct option is D

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Answer:

C

Step-by-step explanation:

just simplied them

Answer:

80

Step-by-step explanation:

Answer:

x² + y² = z²

Step-by-step explanation:

(a)

Using the right triangle altitude theorem,

x/z = p/x

x² = pz

(b)

y/z = q/y

y² = qz

(c)

x² + y² = pz + qz

x² + y² = z(p + q)

z = p + q

x² + y² = z × z

x² + y² = z²

The statement, known as the division algorithm, asserts that for any integer a and any natural number n, there exists a unique integer t in the set {0, 1, 2,...,n − 1} such that a ≡ t (mod n).

To prove the statement, let's consider the integer division of a by n: a = qn + r. Here, q is the quotient and r is the remainder. Since the remainder must be non-negative and less than n, it follows that 0 ≤ r < n.

Now, if we consider the congruence relation modulo n, we have a ≡ r (mod n), which means that a and r leave the same remainder when divided by n. In other words, a and r are congruent modulo n.

Since r is unique and falls in the range {0, 1, 2,...,n − 1}, we can say that there exists a unique integer t in the set {0, 1, 2,...,n − 1} such that a ≡ t (mod n).

This result is fundamental in modular arithmetic and is used to define operations such as addition, subtraction, and multiplication modulo n. It allows us to work with remainders and residues in a systematic way.

In conclusion, the statement, known as division algorithm, holds true for any integer a and any natural number n. There exists a unique integer t in the set {0, 1, 2,...,n − 1} such that a ≡ t (mod n).

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Answer:

The segment that connects the midpoints of the legs of a trapezoid is called the median of the trapezoid.

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

x = 216^(1/3)

x = 6

Step-by-step explanation:

supplementary angles means sum of them is 180°

8x+4+6x+64 = 180

14x+68 = 180

x = 8

angles are 68 and 112