please help me this was due yesterday (slopes) (brainliest)

Answer:

y = \(\frac{1}{4}\) x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

y - 4 = \(\frac{1}{4}\) (x - 8) ← distribute

y - 4 = \(\frac{1}4}\) x - 2 ( add 4 to both sides )

y = \(\frac{1}{4}\) x + 2 ← in slope- intercept form

Answer:

Aircraft A = 283 seats

Aircraft B = 157 seats

Step-by-step explanation:

Aircraft A = B + 126

Aircraft B

A + B= 440

B + 126 + B= 440

Collect the like terms

B+B+126= 440

2B+126= 440

2B= 440-126

2B= 314

B= 157

Substitute 157 for B in equation 1

A= B+126

A= 157+126

A= 283

Hence Aircraft A has 283 seats and Aircraft B has 157 seats

The sum of two numbers is 146. The larger number is 16 less than 5 times the smaller number, the two numbers are 27 and 119.

Let's call the smaller number "x" and the larger number "y". We can write two equations based on the information given:

The sum of two numbers is 146: x + y = 146

The larger number is 16 less than 5 times the smaller number: y = 5x - 16

We can use substitution to solve for one of the variables. Using equation 2, we can solve for y in terms of x:

y = 5x - 16

Now we can substitute this expression for y into equation 1:

x + (5x - 16) = 146

Simplifying this equation, we get: 6x - 16 = 146

Adding 16 to both sides, we get: 6x = 162

Dividing both sides by 6, we get: x = 27

Now we can use equation 2 to solve for y:

y = 5x - 16 = 5(27) - 16 = 119

Therefore, the two numbers are 27 and 119.

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Vertically translating a graph is equivalent to shifting the base graph up or down in the direction of the y-axis.  the asymptote of the transformed function at x will be zero

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

Vertically translating a graph is equivalent to shifting the base graph up or down in the direction of the y-axis.

vertical translation of f (x) = 3 x has a y-intercept of -3.

To find the asymptote take the x value as infinity.

So  the asymptote of the transformed function at x will be zero

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The degrees of freedom are (number of rows - 1) * (number of columns - 1) = 1 * 1 = 1. The critical value for a chi-square distribution with 1 degree of freedom and a significance level of 0.05 is 3.84.

What is rectangle?

A rectangle is a geometric shape that has four sides and four right angles (90 degrees) with opposite sides being parallel and equal in length.

To determine if the difference in hemorrhaging rates between the ancrod and placebo groups is statistically significant, we can perform a chi-square test. The null hypothesis is that there is no difference in hemorrhaging rates between the two groups, and the alternative hypothesis is that there is a difference.

First, we need to calculate the expected values for each cell under the null hypothesis. We can do this by multiplying the row and column totals for each cell and dividing by the total sample size:

Expected value for Hemorrhage/Ancrod cell = (13+235) * (13+5) / (13+5+235+247) = 118.2

Expected value for No Hemorrhage/Ancrod cell = (13+235) * (235+247) / (13+5+235+247) = 129.8

Expected value for Hemorrhage/Placebo cell = (5+247) * (13+5) / (13+5+235+247) = 9.8

Expected value for No Hemorrhage/Placebo cell = (5+247) * (235+247) / (13+5+235+247) = 242.2

Therefore, we need to determine the degrees of freedom and the critical value of the chi-square distribution for a significance level of 0.05. The degrees of freedom are (number of rows - 1) * (number of columns - 1) = 1 * 1 = 1. The critical value for a chi-square distribution with 1 degree of freedom and a significance level of 0.05 is 3.84.

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The chi-square value (3.745) is slightly less than the critical value (3.841), we fail to reject the null hypothesis and there is no statistically significant difference in hemorrhaging rates between the ancrod and placebo groups at the 0.05 significance level.

To determine whether the difference in hemorrhaging rates is statistically significant using a chi-square test, first set up the contingency table based on the given data:

|            | Ancrod | Placebo | Total |
|------------|--------|---------|-------|
| Hemorrhage |   13   |    5    |   18  |
| No Hemorrhage |  235  |   247   |  482  |
| Total      |  248   |   252   |  500  |

Next, calculate the expected frequencies for each cell:

E11 = (18 * 248) / 500 = 8.976
E12 = (18 * 252) / 500 = 9.024
E21 = (482 * 248) / 500 = 239.024
E22 = (482 * 252) / 500 = 242.976

Now, apply the chi-square formula:

χ² = Σ[(O - E)² / E] = (13 - 8.976)² / 8.976 + (5 - 9.024)² / 9.024 + (235 - 239.024)² / 239.024 + (247 - 242.976)² / 242.976 = 1.808 + 1.803 + 0.068 + 0.066 = 3.745

With 1 degree of freedom (df = (2-1)(2-1)), the critical value for a non-directional alternative hypothesis and α = 0.05 is 3.841 (from the chi-square distribution table).

Since the calculated chi-square value (3.745) is slightly less than the critical value (3.841), we fail to reject the null hypothesis. Therefore, there is no statistically significant difference in hemorrhaging rates between the ancrod and placebo groups at the 0.05 significance level.

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Answer:

a) x + y

b) m x 7 or 7m

c) m x 3 or 3m

d) \(\frac{n - 3}{4}\)

Step-by-step explanation:

a) the sum of x and y

- the sum most likely always means addition

b) the product of m and 7

- the product usually means multiplucation

c) the cost of 3 movie tickets at m dollars each

- so your getting 3 movie tickets at $m

the total would be m + m + m which is the same as mutiplying m by 3

d) 3 less than n, all divided by 4

- 3 less than n

less than usually means subtraction

than divided by 4

\(\rule{200}{2}\\\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}\)

            write algebraic expressions to represent the following:

a) the sum of x and y b) the product of m and 7

c) the cost of 3 movie tickets at m dollars each d) 3 less than n, all divided by 4

\(\dashrightarrow\large\blue\textsf{\textbf{\underline{Answer and how to solve:-}}}\)

First, "the sum of" indicates that we add.

Since we're asked to find the sum of x and y, we need to add them:-

Now, the "product of" indicates that we multiply.

So we multiply m times 7, which can be written as follows:-

If we have 3 movie tickets, and each of them costs m dollars, then in order to find the cost of all 3 movie tickets, we need to find the product of the total number of tickets times the cost of one ticket:-

So we multiply 3 times m, or

Now, "3 less than n" indicates that we subtract 3 from n; this expression is divided by 4, or:-

         \(\rule{200}{1}\)

Thus, the probability that a randomly selected card has a consonant is 62.5%. This means that if you were to randomly select a card from the pile of cards, there is a 62.5% chance that the card would be a consonant.

The number of consonants in the word "probable" and the total number of cards. There are 5 consonants in "probable" (p, r, b, l, and b) and a total of 8 cards.

In the word "probable," there are 5 consonants (p, r, b, b, and l) and 3 vowels (o, a, and e). To calculate the probability of choosing a consonant, divide the number of consonants by the total number of letters:

Probability = (Number of consonants) / (Total number of letters)

The probability of selecting a consonant can be calculated by dividing the number of consonants by the total number of cards:

5 consonants / 8 cards = 0.625 or 62.5%

Therefore, the probability that a randomly selected card has a consonant is 62.5%. This means that if you were to randomly select a card from the pile of cards, there is a 62.5% chance that the card would be a consonant.

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Answer:

decreased by 50%

Step-by-step explanation:

\(\frac{x}{y}\)

100% - 60% = 40% = 0.4

100% - 20% = 80% = 0.8

\(\frac{0.4x}{0.8y}\) = \(\frac{x}{2y}\) = 0.5 × \(\frac{x}{y}\) ⇒ the original fraction is decreased by 50%

The FOIL method, which stands for First, Outer, Inner, Last, is a technique commonly used to multiply binomials.

It involves multiplying the First terms, then the Outer terms, then the Inner terms, and finally the Last terms, and then combining the results. While the FOIL method works well for multiplying binomials, it is not applicable for multiplying all polynomials.

The reason the FOIL method cannot be used to multiply all polynomials is that it only applies to the specific case of multiplying two binomials with two terms each. When dealing with polynomials that have more than two terms or polynomials of higher degrees, the FOIL method does not provide a systematic approach to handle the multiplication.

For example, consider multiplying the polynomial (x + 2) with the polynomial (x^2 + 3x - 4). Applying the FOIL method, we would only multiply the First terms (x * x^2), the Outer terms (x * 3x), the Inner terms (2 * x^2), and the Last terms (2 * -4). However, this approach overlooks the multiplication between the terms of different degrees (e.g., x * 3x or 2 * x^2) and fails to account for all possible combinations.

To multiply more complex polynomials, we typically use more advanced methods such as the distributive property, grouping, or the use of matrices. These methods provide a systematic and comprehensive approach to handle polynomial multiplication in general, accommodating polynomials with any number of terms or degrees.

In summary, while the FOIL method is a helpful technique for multiplying binomials, it cannot be used for multiplying all polynomials due to its limited applicability. For more complex polynomials, alternative methods are necessary to ensure accurate and comprehensive multiplication.

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Answer:

w is greater than or equal to 1

Step-by-step explanation:

1. Add the 6w to both sides.

11w is greater than or equal to 11.

2. Divide by 11

w is greater than or equal to 1

Answer:

w>1

add the underline under the greater sign

and dont forget to include { } and |  if needed

Step-by-step explanation:

Answer:

9935÷2.76243

3596.47122

round it to any place values your question or anythings asks for

Answer:

3596.4712228

Step-by-step explanation:

The given quadrilateral RSUT has sides that are not parallel to each other.

To determine if the sides of quadrilateral RSUT are parallel or perpendicular, we can calculate the slopes of each pair of sides. The slope of a line passing through two points (x1, y1) and (x2, y2) is given by (y2 - y1) / (x2 - x1).

The slope of RS can be calculated as (−1−(−3))/(4−1)=2/3. The slope of TU can be calculated as (−2−2)/(−4−2)=−1/3. The slope of UT can be calculated as (2−(−2))/(2−(−4))=1/2. The slope of SR can be calculated as (−1−(−3))/(4−1)=2/3.

We can see that the slopes of RS and SR are equal, which means these sides are parallel. Similarly, the slopes of TU and UT are negative reciprocals of each other, which means these sides are perpendicular. However, none of the other pairs of sides are parallel or perpendicular to each other.

Therefore, the given quadrilateral RSUT has sides that are not parallel to each other, and only the sides RS and TU are parallel and perpendicular to each other, respectively.

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We want to see which units we should use for acceleration in the given scenario, the units that we must use are km/h², or kilometer per hour squared.

So we know that acceleration is the rate of change of the velocity (in the same way that velocity is the rate of change in position).

Note that position is represented only with distance units, like km.

And to get a velocity you use the units km/h  (that tell you how many kilometers your position changes in one hour).

Similarly, the rate of change of the velocity will be (velocity)/time.

(km/h)/h = km/h²

Which is kilometers per hour squared.

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The approximate change in the period of the pendulum is -0.006 seconds, or a decrease of 0.006 seconds.

The period T of a pendulum is given by the formula

T = 2π √(L/g)

where L is the length of the pendulum and g is the acceleration due to gravity.

In this problem, we are asked to approximate the change in the period of a pendulum when it is moved from the Canal Zone to Greenland, and its length changes from 2.5 feet to 2.43 feet.

We can begin by calculating the period of the pendulum in the Canal Zone

T1 = 2π √(L1/g1) = 2π √(2.5/32.06) ≈ 1.544 seconds

where L1 = 2.5 feet and g1 = 32.06 feet per second per second.

Next, we can calculate the period of the pendulum in Greenland:

T2 = 2π √(L2/g2) = 2π √(2.43/32.44) ≈ 1.538 seconds

where L2 = 2.43 feet and g2 = 32.44 feet per second per second.

Finally, we can calculate the change in the period of the pendulum:

ΔT = T2 - T1 ≈ 1.538 - 1.544 ≈ -0.006 seconds

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The value of x in the given polygon is 71°

A closed, flat polygon is a geometry comprised of just straight lines.

The exterior angle of a polygon is the angle created when a polygonal side is extended.

A polygon's outside angles add up to 360°.

The sum of external angles in a polygon is 360°

In the given questions all the angles, whose values are given, are external angle.

2x-46° + 2x-50° + 2x-33° + 32° + 31° = 360°

6x - 129° + 63° = 360°

6x - 66° = 360°

6x = 360° + 66°

6x = 426°

x = 426°/6

x = 71°

The value of x in the given polygon is 71°

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Answer:

$324

Step-by-step explanation:

it earn 8% interest each year how much at the end of year 1,

to calculate this you multiply 300 by 108% = 300 x 1.08 = 324

The standard equation of Mercury's orbit is x²/a² + y²/b²= 1

To find the standard equation of Mercury's orbit, we first need to determine the coordinates of the foci.

Since the sun is one focus, we can use the formula c = ae, where a is the length of the major axis and e is the eccentricity.

Plugging in the given values, we get c = 0.2056 x 72 million = 14.8032 million miles. Since the orbit is centered at the origin, the foci are located at (-c,0) and (c,0).

Therefore, the distance from any point on the ellipse to the left focus minus the distance to the right focus is a constant value, which we can call 2a.

Thus, the standard equation of Mercury's orbit is x²/a² + y²/b²= 1

where a = 36 million miles and b is the length of the minor axis.

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Answer:

Step-by-step explanation:

y - 3 = -2/3(x + 6)       Remove the brackets on the right

y - 3 = -2/3x - 2/3 * 6  Simplify the right

y - 3 = -2/3x -  4          Add 4 to both sides

y = - 2/3 x - 1

I'm going to enclose the graph. Pick the one that has a y intercept at (0,-1) and and an x intercept of (-1.5, 0)goes from the lower right to the upper left as the graph below shows.

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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Answer: x = 2, y = 0

Step-by-step explanation:

11y = 0

y = 0

6x + 6(0) = 12

6x = 12

x = 2

Answer:

\(Q(a) = w\)

Step-by-step explanation:

Given

w = weight

a = age

Required

Represent the weight as a function of age

When writing a function.

\(y = f(x)\)

means that y is a function of x

Using the above to answer the given question, we have:

\(w = Q(a)\)

Which means w is a function of a

and can be rewritten as:

\(Q(a) = w\)

Answer:

5/36

Step-by-step explanation:

Answer:

49/36

Step-by-step explanation:

LCM = 9 x 4

        = 36

1/9 x 4/4 = 4/36

5/4 x 9/9 = 45/36

4/36 + 45/36 = 49/36

Hope this helps :)

Based on the text, the primary source of primate endangerment today is habitat destruction.

Habitat destruction is considered the primary source of primate endangerment based on various factors mentioned in the text. Primates, like many other species, heavily rely on their natural habitats for survival, including food, shelter, and breeding. However, human activities such as deforestation, urbanization, and land conversion for agriculture or infrastructure development have significantly reduced and fragmented primate habitats.

Habitat destruction leads to the loss of critical resources and disrupts the ecological balance necessary for primate populations to thrive. As their habitats shrink, primates face increased competition for limited resources, reduced access to food and water sources, and decreased opportunities for successful reproduction and rearing of offspring. This loss of habitat also exposes primates to increased vulnerability to predation, disease transmission, and human-wildlife conflicts.

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a. Inductive Reasoning: The statement "I see fireflies in my backyard every summer" is based on observations and generalizing from past experiences.

b. Deductive Reasoning: The statement "If A = B and B = A" is an example of a logical deduction.

a. Inductive Reasoning: The statement "I see fireflies in my backyard every summer" is an example of inductive reasoning. By observing fireflies in the backyard during past summers, a pattern or trend is recognized. This pattern leads to the generalization that fireflies are likely to appear in the backyard during summer. Inductive reasoning involves drawing conclusions based on repeated observations and generalizing from those observations to make a prediction about future events. Therefore, when stating, "This summer, I will probably see fireflies in my backyard," it is an application of inductive reasoning, relying on the assumption that the pattern observed in the past will continue in the future.

b. Deductive Reasoning: The statement "If A = B and B = A" exemplifies deductive reasoning. Deductive reasoning relies on established rules, principles, or premises to draw logical conclusions. In this case, the statement refers to the concept of equality in mathematics. The principle of equality states that if A is equal to B, and B is equal to A, then they are interchangeable and represent the same value. Deductive reasoning allows us to deduce that A and B are equivalent based on the given premise. It involves applying logical reasoning and established principles to arrive at a specific conclusion.

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Answer:23

Step-by-step explanation:

Those numbers are x=55 and y= 15.

---------

1) Gathering the data

x-y=40

4y=x+5

2) Rewriting the system, and then solving it

x-y=40 ⇒x=40+y

4y=x+5

Applying substitution in the 2nd equation

4y=(40+y)+5

4y =40+y+5 Subtracting y from both sides

4y-y= 40+y-y +5

3y=40+5

3y= 45 Dividing by 3

y=15

Replacing in the first equation

x-15=40 Adding 15 to both sides

x-15+15=40+15

x=55

3) Those numbers are x=55 and y= 15.

Answer: 9

Step-by-step explanation:

The biggest common divisor number is 9.

Answer:

B 3/32

Step-by-step explanation:

3/8 divided by 4

do the keep change flip method and solve

3/8 x 1/4

Answer:

6 teaspoons

Step-by-step explanation:

2 teaspoons = 1/3 tsp of salt

6 teaspoons = 1 tsp of salt

This was done by multiplying 2 by 3 since 3 thirds (3/3) make one whole.

So if 2 teaspoons are used for 1/3 teaspoon of salt, 4 teaspoons would be used for 2/3 teaspoon of salt and 6 teaspoons would be used for 1 teaspoon of salt.