Consider an election with 129 votes.

(a) If there are 4 candidates, what is the smallest number of votes that a plurality candidate could have? Explain your answer.

(b) If there are 8 candidates, what is the smallest number of votes that a plurality candidate could have? Explain your answer

Answer:

This equation is a difference of squares factorization. It states that the difference between the square of x and 7x plus some constant c is equal to the square of (x+a). To solve for a and c, we can expand both sides of the equation:

X^(2) - 7x + c = x^(2) + 2ax + a^(2)

And we can set them equal to each other and solve for a and c:

x^(2) - 7x + c = x^(2) + 2ax + a^(2)

-2ax - a^(2) = -7x + c

a = (7x - c) / 2x

c = x^(2) - 7x + a^(2)

Note that this is valid as long as x is not equal to 0.

Answer:

what graphs are you talking about

Step-by-step explanation:

Answer:

6 and 12 i Hope i suck at math

Step-by-step explanation:

Answer:

His numbers are 2 and 24

Step-by-step explanation:

We see this because of our factor of +4 = 6 wich makes it 30.

Dont forget to make me brainliest!

Answer:

90 gallons

Step-by-step explanation:

5 people at 9 minutes each = 45 minutes

2 gallons per minutes * 45 minutes

90 gallons

Answer:

90 Gallons

Step-by-step explanation:

So to start we know that

a. every 1 min = 2 gallons

b. 5 ppl shower for 9 minutes each (on average)

so we can solve we multiplying amt. of ppl showering and the mins. they shower which is 5 and 9 respectively => and we get 45 minutes taken.

We know that each minute equals 2 gallons so we simply multiply 45 and 2 = 90 => and thus, we have our answer of 90 gallons.

Hope this helps!

The possible whole-number values of 'a' that satisfy the triangle inequality are 2, 3, 4, 5, and 6.

A triangle is a three-sided polygon with three vertices. The triangle's internal angle, which is 180 degrees, is constructed.

To create a triangle with sides a, b, and c, the sum of the lengths of any two sides must be greater than the length of the third side. This can be represented by the triangle inequality:

a + b > c

a + 6 > 7 (substituting the given values for b and c)

a > 1

b + c > a

6 + 7 > a

13 > a

a + c > b

a + 7 > 6

a > -1

Since the length of a cannot be negative, the inequality can be simplified to:

a > 1

Therefore, to create a triangle with side lengths of 7, 6, and some whole number value for a, a must be greater than 1. The possible whole-number values of 'a' that satisfy the triangle inequality are 2, 3, 4, 5, and 6.

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Stratified sampling is the sampling method in which the size of the sample portions is determined by the researcher's belief about the relative size of each class of respondent in the population.

Stratified sampling is a method used in research to obtain a representative sample from a population by dividing it into subgroups or strata based on specific characteristics. The sample size for each stratum is determined by the researcher's belief about the relative size of each class of respondents in the population.

This approach ensures that the sample accurately represents the diversity within the population, as it accounts for variations across different groups.

This sampling method is particularly useful when there are known differences or variations within the population that could impact the research results. For example, if a study aims to understand consumer preferences for a product across different age groups, it may be important to obtain a representative sample from each age group. Stratified sampling allows the researcher to ensure that each subgroup is adequately represented, thus enabling meaningful analysis within and between the strata.

Stratified sampling offers several advantages. It enhances the precision of estimates by minimizing the sampling error and increasing the likelihood of obtaining representative samples. Additionally, it allows for subgroup-specific analysis, enabling researchers to draw conclusions at both the population and subgroup levels. By incorporating prior knowledge and beliefs about the relative size of each class, stratified sampling provides a systematic approach to sample selection that improves the overall quality and validity of research findings.

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The equation that describes the relationship between y and x is y = 30/(∛x).

Let's start by assigning the variables to their given values. We have y, which represents the dependent variable, and x, which represents the independent variable. We are told that y varies inversely with the cube root of x. Mathematically, we can express this relationship as:

y = k/(∛x)

In this equation, k represents the constant of variation. The constant of variation is a fixed value that relates the dependent variable (y) and the independent variable (x) in an inverse relationship. The cube root (∛) of x ensures that the relationship is inverse.

To find the specific equation that relates y and x, we need to determine the value of the constant of variation (k). We are given a specific point on the graph, where x = 216 and y = 5. We can use these values to solve for k.

Substituting the given values into the equation:

5 = k/(∛216)

To simplify this equation, we need to evaluate the cube root of 216:

∛216 = 6

Now we can substitute this value back into the equation:

5 = k/6

To solve for k, we can multiply both sides of the equation by 6:

5 * 6 = k

30 = k

Now we have determined the value of the constant of variation, k, which is 30. With this value, we can rewrite the equation that describes the relationship between y and x:

y = 30/(∛x)

This equation represents the inverse variation between y and the cube root of x. As x changes, y will vary inversely with the cube root of x, with the constant of variation, k, equal to 30.

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Complete Question:

Write an equation describing the relationship of the given variables.

y varies inversely as the cube root of x and when x = 216, y = 5.

Answer:

We divided the figure in picture into 1 triangle and 2 rectangles.

Adding up the area of them, we get the total area:

A = area of triangle + area of 2 rectangles

   =  base x height/2 + length1 x width1 + length2 x width2

   = 13 x (4 + 13 + 8 - 12)/2 + 11 x 8 + 3 x 13

   = 211.5

Hope this helps!

:)

Answer:

daddxy chill

Step-by-step explanation:

Answer:

b. no, because one x-value corrseponds to two different y-values

Step-by-step explanation:

for a set/table to be a function, the each x-value must correspond to exactly one value, not more, therefore the set of points in this table do not represent a function as the x-value 6 corresponds to more than one number.

Answer:

it would be only one solution

Step-by-step explanation:

Answer:

y = -2

Step-by-step explanation:

using slope formula, you can create the following proportion:

y-(-1) = 1

-5-(-1)    4

cross-multiply:

4(y+1) = -4

4y + 4 = -4

4y = -8

y = -2

Take two points

Slope:-

\(\\ \sf\longmapsto m=\dfrac{50-40}{1}=10\)

Equation in point slope form

\(\\ \sf\longmapsto y-40=10(x-4)\)

\(\\ \sf\longmapsto y=10x\)

Or

Answer:

Take two points(4,40)(5,50)Slope:-Equation in point slope formOrf(x)=10x

Step-by-step explanation:

An LED light bulb is 40% efficient, compared to an incandescent, which is 5% efficient which means that an LED light bulb will convert 40% of the energy used into visible light, while an incandescent light bulb will only convert 5% of the energy used into visible light.

The other 95% of the energy used by an incandescent bulb is lost as heat, making it less efficient. LEDs are much more energy efficient than incandescent bulbs. LEDs are able to produce the same amount of light as an incandescent bulb with only a fraction of the energy. This is because LEDs emit light in a narrow spectrum which reduces energy loss due to the amount of light that is not visible to the human eye. In addition, LEDs do not contain filaments that require power to heat up, meaning that much less energy is wasted as heat.

LEDs also have a longer lifespan than incandescent bulbs. This is due to the fact that LEDs have no filament to burn out, meaning they can last up to 50,000 hours or more. On the other hand, an incandescent bulb typically has a lifespan of around 1,000 hours. This means that an LED light bulb can potentially last up to 50 times longer than an incandescent bulb.

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As per the BMI, the dependent variable is outcome

In this study, the researcher wants to compare the effectiveness of two different exercise programs in reducing BMI in individuals with diabetes. The participants will be randomly assigned to either the aerobic dancing group or the walking group, and their BMI will be measured before and after the six-month exercise program.

The changes in BMI between the two groups will be compared to determine which exercise program is more effective in reducing BMI in this population. The dependent variable in this study is the change in BMI, as it is the outcome that is being measured and compared between the two groups.

Overall, this study will provide valuable insights into the effectiveness of different exercise programs in reducing BMI in older adults with diabetes, which can have important implications for their overall health and wellbeing.

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An expression is defined as a set of numbers, variables, and mathematical operations. The expressions that are equivalent to the given expression is -3+2i - 2(24) - 8i and -51 - 6i.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

The given expression can be simplified as,

(-√9 + √-4) - (2√576 + √-64)

= (-3+2i) - 2(24) - 8i

= -3+2i - 2(24) - 8i

= -3 + 2i - 42 - 8i

= -51 - 6i

Hence, the expressions that are equivalent to the given expression is -3+2i - 2(24) - 8i and -51 - 6i.

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Mate's car can travel approximately 5 more minutes per gallon of gas compared to Jenna's car.

To determine how many more minutes Mate's car can travel per gallon of gas compared to Jenna's car, we would need additional information about the fuel efficiency or miles per gallon (MPG) for each car.

Fuel efficiency is typically measured in terms of miles per gallon, indicating the number of miles a car can travel on a gallon of gas.

To calculate the difference in travel time, we would also need to know the average speed at which the cars are traveling.

Once we have the MPG values for Mate's car and Jenna's car, we can calculate the difference in travel time per gallon of gas by considering their respective fuel efficiencies and average speeds.

If Mate's car has a fuel efficiency of 30 MPG and Jenna's car has a fuel efficiency of 25 MPG, we can calculate the difference in travel time by comparing the distances they can travel on a gallon of gas.

Let's assume both cars are traveling at an average speed of 60 miles per hour.

For Mate's car:

Travel time = Distance / Speed

= (30 miles / 1 gallon) / 60 miles per hour

= 0.5 hours or 30 minutes.

For Jenna's car:

Travel time = Distance / Speed

= (25 miles / 1 gallon) / 60 miles per hour

= 0.4167 hours or approximately 25 minutes.

Without specific information about the MPG values and average speeds of the cars, it is not possible to provide an accurate answer regarding the difference in travel time per gallon of gas between Mate's car and Jenna's car.

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Answer:   48 students

Step-by-step explanation:   1+4=5

60÷5=12

12x4=48

Answer: Most views  mayber black panther

Step-by-step explanation:

False. The intercepted arc is actually twice the measure of the inscribed angle only if the inscribed angle is an angle at the center. If the inscribed angle is not at the center, the intercepted arc will have a different measure.

So, in general, the relationship between the measure of the intercepted arc and the inscribed angle it was created from depends on the location of the inscribed angle in the circle. This is a long answer, but it provides a detailed explanation of the relationship between the intercepted arc and the inscribed angle in different scenarios.

AN intercepted arc is twice the measure of the inscribed angle it was created from.
In a circle, when an inscribed angle is formed by two chords, it intercepts an arc on the circle. According to the Inscribed Angle Theorem, the measure of the inscribed angle is half the measure of the intercepted arc. Therefore, the intercepted arc is indeed twice the measure of the inscribed angle.

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The probability that a randomly selected book has greater than 229 pages is 2.5%

The empirical rule states that for a normal distribution, approximately 68% of the data lies within one standard deviation of the mean, approximately 95% of the data lies within two standard deviations of the mean, and approximately 99.75% of the data lies within three standard deviations of the mean.

In this case, the mean number of pages per book is 189 pages and the standard deviation is 20 pages. To find the probability that a randomly selected book has more than 229 pages, we need to find the area under the normal curve that is to the right of 229 pages.

We can use the empirical rule to approximate the area under the normal curve that is to the right of 229 pages. To do this, we need to find how many standard deviations 229 pages is from the mean. We can do this by subtracting the mean from 229 and dividing the result by the standard deviation:

(229 - 189) / 20 = 4

This tells us that 229 pages are 4 standard deviations from the mean. Since this is more than 3 standard deviations from the mean, we can use the empirical rule to approximate the area under the normal curve that is to the right of 229 pages as approximately 1-0.975= 0.025 of the total area under the curve.

Rounded to one decimal place, this is 2.5% So, the probability that a randomly selected book has more than 229 pages is 2.5%.

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The number of miles in 4 weeks is 20 mules

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

Stone runs 1 mile five times a week

This means that the rate is

Rate = 1 mile * 5 per week

So, we have

Rate = 5 miles per week

For 4 weeks, we have

Distance = 5 * 4

Evaluate

Distance = 20 miles

Hence, the distance is 20 miles

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Answer:

Explanation:

(y-k)h=c

yh-kh=c

yh=c+kh

y=c+kh/h

y=c+k

Answer:

(x-4)(3x-5)(x-1)

Step-by-step explanation:

you shouldn't need much of an explantion

The polynomial P(x) = 3x^3-20x^2+37x-20 as a product of linear factors is P(x) = (3x - 5)(x - 1)(x - 4)

The polynomial is given as:

P(x) = 3x^3-20x^2+37x-20

The factor is given as: x - 4

This means that:

P(x)/x - 4 = 3x^3-20x^2+37x-20/x - 4

Factorize the numerator

P(x) = (3x - 5)(x - 1)(x - 4)/(x - 4)

Cancel out the common factors

P(x) = (3x - 5)(x - 1)(x - 4)

Hence, the polynomial P(x) = 3x^3-20x^2+37x-20 as a product of linear factors is P(x) = (3x - 5)(x - 1)(x - 4)

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Answer:

B. 0

Step-by-step explanation:

Your welcome :)

Answer:

b.0

Step-by-step explanation:

i got it right

The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.

We have,

To arrange the length of the sides of the quadrilateral from longest to shortest, we need to calculate the length of each side of the quadrilateral using the distance formula:

Distance Formula:

If (x1, y1) and (x2, y2) are two points in a plane, then the distance between them is given by:

d = √((x2 - x1)² + (y2 - y1)²)

Using the distance formula, we can calculate the length of each side of the quadrilateral as follows:

AB = √((4 - (-5))² + (5 - 5)²) = 9

BC = √((2 - 4)² + (0 - 5)²) = √(29)

CD = √((-5 - 2)² + (-2 - 0)²) = √(74)

DA = √((-5 - (-5))² + (5 - (-2))²) = 7

Therefore,

The sides of the quadrilateral arranged from longest to shortest are CD, AB, DA, and BC.

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Answer:

1.) RS ⊥ ST, RS ⊥ SQ, ∠STR ≅ ∠SQR | Given

2.) RS≅RS | Reflexive Property

3.) △RST ≅ △RSQ | AAS Triangle Congruence Property

Step-by-step explanation:

The required fill-in-the-blank below as:

1.) RS ⊥ ST, RS ⊥ SQ, ∠STR ≅ ∠SQR | Given

2.) RS≅RS | Reflexive Property

3.) △RST ≅ △RSQ | AAS Triangle Congruence Property

Two triangles are said to be congruent if their corresponding sides and angles are equal.

The given in question as:

RS ⊥ ST

RS ⊥ SQ

∠STR = ∠SQR

To prove:

△RST ≅ △RSQ

1.) RS ⊥ ST, RS ⊥ SQ, ∠STR ≅ ∠SQR | Given

2.) RS≅RS | Reflexive Property

According to AAS, two triangles are congruent if the two sides and the included angle of one triangle are equal to the corresponding sides and the included angle of the other triangle.

3.) △RST ≅ △RSQ | AAS Triangle Congruence Property

Hence, △RST ≅ △RSQ

Thus, the required fill-in-the-blank above is in the solution.

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Answer:

A)  8/15

Step-by-step explanation:

3 / 5 x 8/9

(3/5)(8/9)

(3*8)/(5*9)

(24/45)

8/15

Answer:

8/15

Step-by-step explanation:

3 / 5 x 8/9

Multiplying fractions

Rewriting

3/9 * 8/5

Simplify

1/3 * 8/5

Multiply the numerators

1*8 =8

Multiply the denominators

3*5 = 15

8/15