Write the equation of a line in standard form that passes through (-2, 5) and is perpendicular to
the line x – 2y = 8.

The triengle ABC and XZY are proved to be congruent by SAS.

Congruence of triangles: Two triangles are supposed to be harmonious assuming each of the three comparing sides are equivalent and every one of the three relating angle are equivalent in measure. These triangles can be slides, pivoted, flipped and went to be seemed to be indistinguishable.

By the rule of SAS which means, Two sides are equal thhen the angle between the two sides is also equal (SAS: side, angle, side)

Here in he given triangle,

BC=YZ

AC=XZ

∠ACB=∠XZY

By SAS ΔABC≅ΔXYZ

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y = 1.5x + 0.5 is the equation of the line passing through the coordinate points

The formula for finding the equation of a line in slope-intercept form is expressed as:

y =mx + b

where:

m is the slope

b is the intercept

Determine the slope

slope = 5-2/3-1

slope = 3/2

slope = 1.5

Determine the y-intercept

y = mx + b

5 = 1.5(3) + b

5 = 4.5 + b

b = 0.5

Hence the required equation of the line passing through ( 1,2) and (3,5) is

y = 1.5x + 0.5

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Complete question

What's the equation of a line that passes through (1,2) (3,5)?

Answer:

Population: 30.32. Sample: 33.99

According to a recent study of 125 students at Texas Woman's University, the average student spends 6.7 nights per month in an alcohol-related event, with a standard deviation of 3.4 nights.

The study sample consisted of 125 students, and the average number of nights spent in an alcohol-related event was found to be 6.7, with a standard deviation of 3.4. With this information, we can calculate the margin of error for the confidence interval using the formula:

margin of error = (critical value) × (standard deviation / sqrt(sample size)). For a 95% confidence level, the critical value is approximately 1.96. Plugging in the values, we get the margin of error as \(\((1.96) \times \frac{3.4}{\sqrt{125}} \approx 0.61\)\).

To determine the confidence interval, we take the average (6.7) and subtract the margin of error (0.61) to get the lower bound: 6.7 - 0.61 = 6.1 nights. Similarly, we add the margin of error to the average to get the upper bound: 6.7 + 0.61 = 7.3 nights. Therefore, we can accurately report to the parents of potential/incoming freshman that the typical student at Texas Woman's University spends between 6.1 and 7.3 nights per month in an alcoholic environment, with 95% confidence.

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Answer:

GRAPH OF 3x + y = 3 (written on attachment)

GRAPH OF 2y = 10 - 6x (written on attachment)

It could be D but mathematically it's 3/6=1/2

The domain and range of f(x) are the domain is {-5, -6, 3, 4} and the range is {-2}

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

Set of ordered pairs {(5,-2), (-6, -2), (3,-2), (4, -2)}.

The domain is the set of x values

So, we have

Domain = {-5, -6, 3, 4}

The range is the set of y values

So, we have

Range = {-2}

Hence, the domain is {-5, -6, 3, 4} and the range is {-2}

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Answer:

\(Weight = \frac{23}{2}\)

Step-by-step explanation:

Given

Weight of Pinata = 11/4 lb

Weight of candies = 3/8, 3/8, 1/2 , 1/2, 1/2, 3/4, 3, 11/4

Required

Weight of Pinata when filled with candies

To solve this question, we simply need to add all weights together

First, we need to add up the weight of the candies

\(Candies = \frac{3}{8} + \frac{3}{8} + \frac{1}{2}+ \frac{1}{2}+ \frac{1}{2}+ \frac{3}{4} + 3 + \frac{11}{4}\)

Take LCM

\(Candies = \frac{3 + 3 + 4 +4 + 4 + 6 + 24 + 22}{8}\)

\(Candies = \frac{70}{8}\)

Simplify:

\(Candies = \frac{35}{4}\)

Next; Add the weight of the candies to the weight of pinata

\(Weight = Candies + Pinata\)

\(Weight = \frac{35}{4} + \frac{11}{4}\)

Take LCM

\(Weight = \frac{35 + 11}{4}\)

\(Weight = \frac{46}{4}\)

Simplify

\(Weight = \frac{23}{2}\)

Hence, the weight of the Pinata after it is filled with candies is 23/2 lb

Answer: The ratio of candy to fruit in a pinatas is 1/2 pound to 3/4. if we fill two pinatas and use 4 pounds of candy. how many pounds of will we need? Explain?

Step-by-step explanation:hey I know this isn’t what we’re talking about but MrRoyal I really need you help for this please :(

Probability samples have the advantage of providing a more representative sample of the population over non-probability samples.

Each member of the population has a known and non-zero chance of being chosen for the sample in probability sampling. This means that every member of the population has an equal chance of being chosen, which aids in reducing selection bias.

As a result, probability samples are more likely to accurately reflect population characteristics and can provide more reliable and valid population inferences.

Non-probability samples, on the other hand, lack this property and may not accurately reflect the population. In a convenience sample, for example, people are chosen simply because they are easily accessible, which may not accurately reflect the population as a whole.

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The molecular, total ionic, and net ionic equations for the given reactions are as follows:

4) Molecular equation: 2 KNO3(aq) + 3 FeBr3(aq) → 6 KBr(aq) + Fe2(NO3)3(aq)

  Total ionic equation: 2 K+(aq) + 2 NO3-(aq) + 3 Fe3+(aq) + 6 Br-(aq) → 6 K+(aq) + 6 Br-(aq) + Fe2+(aq) + 6 NO3-(aq)

  Net ionic equation: 3 Fe3+(aq) + 6 Br-(aq) → Fe2+(aq) + 6 Br-(aq)

5) Molecular equation: 2 HI(aq) + BaCO3(s) → BaI2(aq) + H2O(l) + CO2(g)

  Total ionic equation: 2 H+(aq) + 2 I-(aq) + Ba2+(aq) + CO3^2-(aq) → Ba2+(aq) + 2 I-(aq) + H2O(l) + CO2(g)

  Net ionic equation: 2 H+(aq) + CO3^2-(aq) → H2O(l) + CO2(g)

4) In the molecular equation, potassium nitrate (KNO3) reacts with iron (III) bromide (FeBr3) to form potassium bromide (KBr) and iron (III) nitrate (Fe2(NO3)3). In the total ionic equation, all soluble compounds are represented as dissociated ions. The net ionic equation is obtained by eliminating spectator ions, which are ions that appear on both sides of the equation and do not participate in the actual reaction. In this case, the net ionic equation shows that three iron(III) ions (Fe3+) react with six bromide ions (Br-) to form two iron(II) ions (Fe2+).

5) The molecular equation represents the reaction between hydroiodic acid (HI) and barium carbonate (BaCO3) to produce barium iodide (BaI2), water (H2O), and carbon dioxide (CO2). In the total ionic equation, the soluble compounds are dissociated into their constituent ions. The net ionic equation is derived by eliminating spectator ions. In this case, the net ionic equation shows that two hydrogen ions (H+) react with the carbonate ion (CO3^2-) to form water and carbon dioxide.

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The sum of all these probabilities is equal to 1, which is the total probability of all possible outcomes.

To solve this problem, we need to consider all the possible outcomes that result in at most four successes. These outcomes are:

0 successes

1 success

2 successes

3 successes

4 successes

The probability of each of these outcomes can be calculated using the binomial distribution formula:

P(k) = (n choose k) \(* p^k * (1-p)^(n-k)\)

where n is the number of trials, k is the number of successes, and (n choose k) is the binomial coefficient, which is equal to n!/(k!*(n-k)!).

To find the probability of at most four successes, we need to add up the probabilities of all these outcomes. So the expression that would provide the answer is:

P(0 successes) + P(1 success) + P(2 successes) + P(3 successes) + P(4 successes)

This expression includes all the possible outcomes that correspond to having at most four successes in five trials. Note that it does not include the probability of having five successes, since we are only interested in the probability of at most four successes.

For example, if the probability of success in each trial is 0.3, then the probability of having zero successes is:

P(0 successes) = (5 choose 0)\(* 0.3^0 * 0.7^5 = 0.168\)

Similarly, the probability of having one success is:

P(1 success) = (5 choose 1) \(* 0.3^1 * 0.7^4 = 0.360\)

We can calculate the probabilities of having two, three, and four successes in a similar way. Then, we can add up all these probabilities to get the probability of at most four successes:

P(at most 4 successes) = P(0 successes) + P(1 success) + P(2 successes) + P(3 successes) + P(4 successes)

In this example, we get:

P(at most 4 successes) = 0.168 + 0.360 + 0.308 + 0.132 + 0.032 = 1.000

Note that the sum of all these probabilities is equal to 1, which is the total probability of all possible outcomes.

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For the given statement, we have to correctly rejecting the null hypothesis.

According to the statement

we have to find the outcome when hypothesis test evaluating a treatment that has a very large and robust effect.

For this purpose, we know that the

A hypothesis is a testable statement about the relationship between two or more variables or a proposed explanation for some observed phenomenon.

And according to the given statement it is clear that the by this we have to rejected this hypothesis.

because this treatment and the large effects are not possible for the independent values of the hypothesis.

In other words, we can say that the we have to correctly rejecting the null hypothesis.

So, For the given statement, we have to correctly rejecting the null hypothesis.

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The percentage of youths arrested, charged with a crime had no preschool education is 59% and  if 82% of the youths had attended preschool still committed crime is 41%.

Let us consider that 18% of them had attended preschool, then the percentage of youths arrested, charged with a crime who had no preschool education would be 47%.
If 82% of the youths had attended preschool, then the percentage of youths arrested who had no preschool education would be 39%.

Let us take that there were 100 youths in the survey. Then, only (100 - 18) = 82 youths did not attend preschool.
Therefore, if we imagine that 82% of them had attended preschool,
82 × (1 - .82)
= 14.76

Then,  (100 - 14.76) = 85.24 youths who attended preschool,
35/100 * (85.24) = 29.87 were arrested  by the time they were 19.

Therefore, from the survey of youths
54/100 × (100 -18) + 35/100 × (85.24)
= 44.28 + 29.87
= 74.15 were arrested  by the time they were 19.

Then,
a) (44.28 /74.15) × 100
≈59% of those arrested did not attend preschool.

Now,
b) (10 - .59) × 100
≈41% of those arrested did attend preschool.

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The Total surface of triangular prism  is 112 inches.

To calculate the surface area of a triangular prism, you need the measurements of the base and the height of the triangular faces, as well as the length of the prism.

The given measurements are;

Base ; 5 inches and  4 inches

height is 8 inches

Length of the prism is 2 inches.

To find the total surface area, we sum up the areas of all the faces:

Total surface area = area of triangular  faces + area of rectangular faces + area of lateral faces.

area of triangular faces = 5 inches × 4 inches = 20 inches.

area of the two faces = 20 ×2 =40

Area rectangular faces = 5 inches × 8 inches/ 2 = 40 inches.

Area of lateral faces = 8 inches ×2 = 16 square inches

for the two lateral faces is 16 × 2 = 32 square inches.

Total surface area = 40 square inches + 40 inches + 32 square inches = 112 square inches.

The Total surface of triangular prism  is 112 inches.

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Part 1) The value of x is 5

Part 2) The length of line AB is 5 inches

Part 3) The length of BC is 15 inches

Answer:

5

5

15

Step-by-step explanation:

∑xn=11−x

when x

is in the radius of convergence

∑(−x)n=11+x∑(−x2)n=∑(−1)nx2n=11+x2∑(−1)n(2–√x)2n=∑(−1)n(2n)x2n11+2x2x∑(−1)n(2n)x2n=x1+2x2∑(−1)n(2n)x2n+1=x1+2x2

The series convenes by the root test if:

limn→∞|an−−√nx|<1

|an−−√n|=|2n2n+1x|<1

|x|<2√2

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The value of n in the equation n/5 + 0.6 = 2 is 7.

It should be noted that an equation simply has to do with the statement that illustrates the variables given. In this case, it is vital to note that two or more components are considered in order to be able to describe the scenario.

It is important to note that an equation is the mathematical statement which can be made up of two expressions which are connected by an equal sign.

In this case, n/5 + 0.6 = 2

0.2n + 0.6 = 2

Collect the like terms

0.2n = 2 - 0.6

0.2n = 1.4

Divide

n = 1.4 / 0.2

n = 7

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Complete question

Solve for n

n/5 + 0.6 = 2

Answer: 121 meters

Step-by-step explanation:

In picture

Answer:

136 degrees

Step-by-step explanation:

From the above question, we are told that:

The measure of a tangent chord angle = 68 degrees

From circle theorems, we know that:

The measure of an angle formed by a tangent and chord(Tangent-chord angles ) is equal to half the measure of the intercepted arc.

Hence,

68° = 1/2 (measure of the intercepted arc.)

Let the Measure of the intercepted arc = x

68° = 1/2x

Divide both sides by 1/2

Measure of the Intercepted arc(x) = 68° ÷ 1/2

Measure of the Intercepted arc = 68° × 2

Measure of the Intercepted are = 136°

Therefore, the measure of the intercepted arc inside the angle is 136°

Answer:

The answer is 136 degrees

Step-by-step explanation:

I’m taking it on A p e x

And it’s 136

Based on the given information, we know that triangle LMN is congruent to triangle PQR, so the corresponding angles are congruent. The value of x in degrees is 56.

Therefore, the measure of angle N in triangle LMN is equal to the measure of angle R in triangle PQR, which can be found using the angle sum property of triangles:

angle R = 180 - angle P - angle Q

= 180 - 52 - 72 (since angle P is not given)

= 56 degrees

Since angle N in triangle LMN is congruent to angle R in triangle PQR, we have:

x = angle N = angle R = 56 degrees

Therefore, the value of x in degrees is 56.

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LMN≅PQR

What is the value of x in degrees? Enter your answer in the box. ​x​ = °

Coordinate graph showing triangle L M N and triangle P Q R. Triangle L M N has coordinates begin ordered pair negative 2 comma 3 end ordered pair, begin ordered pair negative 1 comma 6 end ordered pair, and begin ordered pair 1 comma 3 end ordered pair. Triangle P Q R has coordinates begin ordered pair 2 comma 1 end ordered pair, begin ordered pair 3 comma negative 4 end ordered pair, and begin ordered pair 5 comma negative 1 end ordered pair. The measure of angle L is labeled 72 degrees. The measure of angle N is labeled x degrees. The measure of angle Q is labeled 52 degrees.

Answer:

x > -9

Step-by-step explanation:

When you move the -2 to the right side it turns to become

(x+2) > -7

Now you just solve for x

x > - 9

Answer:

the statement is false there is no solution

Step-by-step explanation:

step 1       -7(a-3)=11-7a

step 2      -7a+21=11-7a

step 3      cancel out the -7a's

step 4       you are left with 21=11 which does not work so it is false

Contribution margin is the excess of sales revenue over total variable costs. This means that all of the answer choices are correct.

Contribution margin is an important financial metric used in managerial accounting to assess the profitability of a company's products or services. It represents the amount of revenue available to cover fixed costs and contribute to the company's operating income. The contribution margin is calculated by subtracting the total variable costs from the sales revenue. Variable costs are expenses that vary directly with the level of production or sales, such as direct materials, direct labor, and variable overhead. Fixed costs, on the other hand, remain constant regardless of the level of production or sales. By analyzing the contribution margin, managers can make informed decisions regarding pricing strategies, product mix, and cost control measures. A higher contribution margin indicates that a greater portion of each sales dollar is available to cover fixed costs and generate profits. It is important for companies to maintain a healthy contribution margin to ensure their long-term financial viability.

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Jackie pays $130 monthly for her group health insurance.

To find out how much Jackie pays for her group health insurance monthly, we need to calculate 40% of the annual cost. Given that the annual cost is $3,900 and her company pays 40% of that, we can calculate the amount Jackie pays.

First, we find the company's contribution by multiplying the annual cost by 40%: $3,900 × 0.40 = $1,560. This is the amount the company pays towards Jackie's health insurance.

To determine Jackie's monthly payment, we divide her annual payment by 12 (months in a year) since she pays monthly. So, Jackie's monthly payment is $1,560 ÷ 12 = $130.

Therefore, Jackie pays $130 per month for her group health insurance. This calculation takes into account the company's contribution of 40% of the annual cost, resulting in an affordable monthly payment for Jackie.

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The amount of monthly increase will be 8$

What is Quadratic Equation?

Quadratics are polynomial equations of the second degree, which means that they contain at least one squared term. Quadratic equations are another name for it. The quadratic equation has the following general form: ax² + bx + c = 0. x is an unknown variable, whereas a, b, and c are numerical coefficients.

Solution:

Given Equation is x² - 16x + 64 = 0

Using the formula method we will first find the discriminant

D = b² - 4ac

D = 256 - 256 = 0

x = -b +- √D / 2a

x = 16/2 = 8

x = 8

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Answer:

We have the proportion: 8/10 = 100/y

We can solve for y by cross-multiplying.

That is, 8y = 100 * 10 Simplifying the right-hand side, 8y = 1000

Dividing both sides by 8 to solve for y, y = 125

Hence, the value of y is 125.

Finally, we have the expression: y = √80We can simplify this expression by factoring 80 into its prime factors:80 = 2 * 2 * 2 * 2 * 5

Taking the square root of 2 * 2 * 2 * 2, we have:√(2 * 2 * 2 * 2) = 2 * 2 = 4

Therefore, y = 4√5The value of y is 4√5.

Step-by-step explanation:

Hope this helps!! Have a good day/night!!