you have 183 grams of solid silver at 961.8c you want to melt the silver salt and peper as a weeding gift how much (heat )/(energy in units of calories is needed to melt the silver the melting point is 961.8 the heat is 26.5 calorties )

Answer: y=\(-\frac{1}{10} x-7\)

Step-by-step explanation: The slope of a perpendicular line is always negative and the reciprocal (opposite fraction) of the regular slope so the slope would be \(-\frac{1}{10}\). If the line passes through (-10,-6) then the y intercept would be (0,-7) because every time x goes 10 right y goes down 1 because of the slope.

Answer:

Step-by-step explanation:

The consecutive integers are increasing by 1

x ← the smallest integer

x+1 ← the middle integer

x+1+1 = x+2   ← the largest integer

x + x+1 + x+2 = 120

   3x + 3 = 120

      ÷3        ÷3

      x + 1 = 40

         -1       -1

        x = 39

x+2 = 39 + 2 = 41

Answer:

D

Step-by-step explanation:

using the bottom left hand corner as the origin

calculate the length d using the distance formula

d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)

the coordinates of the ends of the line are then

(x₁, y₁ ) = (2, 8 ) and (x₂, y₂ ) = (12, 2 )

d = \(\sqrt{(12-2)^2+(2-8)^2}\)

  = \(\sqrt{10)^2+(-6)^2}\)

  = \(\sqrt{100+36}\)

  = \(\sqrt{136}\)

The cumulative frequency distribution indicates the total number of data items with values below the class's upper limit.

Cumulative frequency analysis examines how frequently values of a phenomena occur that are less frequent than a reference value. The phenomenon could depend on time or place. Another name for cumulative frequency is frequency of non-exceedance. Each frequency from a frequency distribution table is added to the total of its predecessors to determine the cumulative frequency. Since all frequencies will have previously been added to the prior total, the final result will always be equal to the sum of all observations. The quantity of an element in a set is referred to as the element's frequency. The accumulation of all earlier frequencies up to the present time is another definition for cumulative frequency.

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The 8th root of unity is  √2/2 - i * √2/2

The 8th roots of unity in rectangular coordinates can be found by first expressing them in polar coordinates and then converting to rectangular coordinates.

The nth roots of unity are complex numbers that satisfy the equation z^n = 1, where z is a complex number. In polar coordinates, these roots can be represented as (cos(2πk/n), sin(2πk/n)), where k = 0, 1, 2, ..., n-1.

For the 8th roots of unity, we have:

z_k = cos(2πk/8) + i * sin(2πk/8) for k = 0, 1, 2, ..., 7

Using the trigonometric identities, we can then convert these to rectangular coordinates:

z_k = cos(2πk/8) + i * sin(2πk/8) = cos(2πk/8) + (sin(2πk/8) * i)

So, the 8th roots of unity in rectangular coordinates are:

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By using Algebraic methods It will take 5 seconds for the rock to hit the ground when dropped from a building that is 64 feet tall, given the equation y = -16t^2 + 400.

The equation is y = -16t^2 + 400, where y represents the height of the rock in feet and t represents the time in seconds.
To find out how many seconds it will take for the rock to hit the ground, we need to set the equation equal to zero because the ground is at a height of zero.
0 = -16t^2 + 400
Now, we can solve for t using  Algebraic methods.
First, we can subtract 400 from both sides of the equation:
-400 = -16t^2
Next, we can divide both sides by -16:
25 = t^2
Finally, we can take the square root of both sides:
t = ±5
Since we can't have negative time, we know that it will take 5 seconds for the rock to hit the ground.
So, to summarize, it will take 5 seconds for the rock to hit the ground when dropped from a building that is 64 feet tall, given the equation y = -16t^2 + 400.

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Answer:

the slope is 6

Step-by-step explanation:

The sample design that will result in a sample that is most representative of the population or contains the least amount of bias is when a teacher emails a survey about online homework to a random sample of his students.

In the given scenario, the teacher is interested in knowing how his students at his high school feel about online homework. By emailing a survey to a random sample of his students, the teacher ensures that every student has an equal chance of being included in the sample. This random sampling approach helps to minimize bias and increase the representativeness of the sample.

In contrast, the other sample designs described in the options introduce potential sources of bias. The option where the school calls every person with a landline to ask the parents their opinion of using online textbooks over hardback textbooks is likely to introduce bias since not everyone in the school has a landline. This method excludes individuals who do not have a landline, potentially leading to a biased sample that does not represent the entire population accurately. Similarly, the option where viewers of "Dancing with the Stars" are asked to text their vote for their favorite dancers introduces a self-selection bias. Only viewers who choose to participate in the voting process will be represented in the sample, which may not reflect the opinions of the entire viewer population. Lastly, selecting winning numbers randomly from a group of math students in Math II to receive gift cards introduces a bias towards those specific math students, as the sample is not representative of the entire population.

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The number of weeks that they will they have same number of baseball cards is 5 weeks.

From the information given, Ty and Elijah each decide to collect baseball cards. It should take about Ty has 37 cards and Elijah has 42 cards to begin with. Ty decides to buy 4 more cards each week and Elijah decides to buy 3.

Therefore, the expression for Ty will be:

= 37 + 4x

The expression for Elijah will be:

= 42 + 3x

where x = number of cards

Therefore, this will be:

37 + 4x = 42 + 3x

4x - 3x = 42 - 37.

x = 5

The number of weeks is 5.

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Ty and Elijah each decide to collect baseball cards. Ty has 37 cards and Elijah has 42 cards to begin with. Ty decides to buy 4 more cards each week and Elijah decides to buy 3. In how many weeks will they have same number of baseball cards?

Answer:

(-1,1)

Step-by-step explanation:

Answer:34

Step-by-step explanation:

adding 8 each time 2 + 8 = 10  10 + 8 = 18 18 + 8 = 26 and 26 + 8 = 34

When a thesis test is being performed for a population mean, the probability of a type II error isn't dependent on the sample mean. Option B is the right answer.

A type II error occurs when a null thesis isn't rejected despite it being incorrect. It's worth noting that the threat of making a type II error is affected by several factors, including the sample size, the true population mean, the position of significance, and the variability of the data.

As a result, the larger the sample size, the lower the threat of making a type IIerror.The true population mean also has an impact on the liability of a type II error. As the difference between the true mean and the hypothecated mean grows, the threat of a type II error decreases.

The position of significance is also pivotal in determining the threat of a type II error. As the significance position increases, the threat of a type II error decreases.

So, the correct answer is B

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After solving, the farmer have total 21 chicken and 19 cows.

In the given question, a farm raises cows and chickens.

The farmer has a total of 40 animals.

One day he counts the legs of all his animals and realizes he has a total of 118 legs.

We have to find how many chickens the farmer have.

Let the number of cows that the farmer have is x.

Let the number of chicken that the farmer have is y.

The farmer has a total of 40 animals.

So the equation should be

x + y = 40....................(1)

As we know that a cow has 4 legs and a chicken has 2 legs.

He has a total of 118 legs.

Now the equation should be

4x + 2y = 118....................(1)

Substituting x = 40 - y from the equation 1, we get

4(40 - y) + 2y = 118

160 - 4y + 2y = 118

160 - 2y = 118

Subtract 160 on both side, we get

-2y = - 42

Divide by -2 on both side, we get

y = 21

Now putting the value of y in x = 40 - y, we get

x = 40 - 21

x = 19

Hence, the farmer have total 21 chicken and 19 cows.

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The farmer has 0 chickens and 40 cows.

Let's solve this problem using an algebraic equation. First, we will assign a variable to represent the number of chickens the farmer has. We will call this variable 'x'. We also know that the total number of animals the farmer has is 40. Therefore, we can write an equation that states:

x + (40 - x) = 40

This equation states that the sum of the number of chickens and the number of cows is equal to the total number of animals the farmer has. Now, let's look at the number of legs the animals have. We know the total number of legs is 118. We also know that chickens have two legs and cows have four legs. We can now write another equation that states:

2x + (4(40 - x)) = 118

This equation states that the sum of the number of chicken legs and the number of cow legs is equal to the total number of legs the animals have. We can solve for x by multiplying both sides of the equation by -1 and then adding both equations:

2x + (4(40 - x)) = 118

-2x - (4(40 - x)) = -118

0x = -118 + 118

0x = 0

Since 0x = 0, we can conclude that x = 0. This means that the farmer has 0 chickens and 40 cows.

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So basically, there are 3 red, 5 blue, 4 green and 3 purple.

When you take out a blue, you have 4 blue left.

And so, by adding a red and purple, you have 4 of each color, which make it fair

Hope it helps you understand :D

Answer:

Yeah no worry there is

exact form 8/3

decimal 2.6

mixed number 2 2/3

We can conclude that ABCD is a parallelogram based on the given information and the congruence of corresponding parts of congruent triangles.

To prove that ABCD is a parallelogram, we need to show that both pairs of opposite sides are parallel.

Given the information that segment AD and BC are congruent and segment AD and BC are parallel, we can proceed with the following proof:

Since segment AD and BC are congruent, we can denote their lengths as AD = BC.

Now, let's assume that the lines AD and BC intersect at point E.

By definition, if AD is parallel to BC, then the alternate interior angles are congruent.

Let's label the alternate interior angles as ∠AED and ∠BEC.

Since AD is parallel to BC, we have ∠AED = ∠BEC.

Now, consider the triangle AED. In this triangle, we have:

∠AED + ∠A = 180° (sum of interior angles of a triangle).

Since ∠AED = ∠BEC, we can substitute to get:

∠BEC + ∠A = 180°.

But we also know that ∠A + ∠B = 180° (linear pair of angles).

Substituting this into the equation, we have:

∠BEC + ∠B = ∠BEC + ∠A.

By canceling ∠BEC on both sides, we get:

∠B = ∠A.

This shows that angle ∠A is congruent to angle ∠B.

Since angle ∠A is congruent to angle ∠B, and angle ∠AED is congruent to angle ∠BEC, we can conclude that triangle AED is congruent to triangle BEC by the angle-side-angle (ASA) postulate.

As a result, the corresponding sides of the congruent triangles are also congruent.

We have AE = BE (corresponding sides of congruent triangles) and AD = BC (given).

Now, considering the quadrilateral ABCD, we have two pairs of opposite sides that are congruent:

AD = BC and AE = BE.

Hence, we have shown that both pairs of opposite sides in ABCD are congruent, which is one of the properties of a parallelogram.

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Answer:

Its simplified already

Step-by-step explanation:

The number of Calories in the snack in Kilojoules is  1.033 Kilojoules      .

In the question ,

it is given that ,

the number of calories in the snack = 247 calories

we have to find the calories in Kilojoules ,

we know that the 1 calorie = 4.184 × 10⁻³ Kilojoules

So , on multiplying both the sides by 247 ,

we get ,

247 calorie = 247 × 4.184 × 10⁻³ Kilojoules

= 1033.448 × 10⁻³ Kilojoules

simplifying further ,

we get ,

= 1.033 Kilojoules

Therefore , The number of Calories in the snack in Kilojoules is  1.033 Kilojoules      .

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Answer:

33 pets

Step-by-step explanation:

Answer:

The slope is 3/2, and the y-intercept (b) is -1

Step-by-step explanation:

The slope-intercept form is y=mx+b. m is the slope and b is the y-intercept.

Answer:

c

Step-by-step explanation:

I hope this helpssssssss

Answer: a) Let Q be an orthogonal matrix and let λ be an eigenvalue of Q. Then there exists a non-zero vector v such that Qv = λv. Taking the conjugate transpose of both sides, we have:

(Qv)^T = (λv)^T

v^TQ^T = λv^T

Since Q is orthogonal, we have Q^TQ = I, so Q^T = Q^(-1). Substituting this into the above equation, we get:

v^TQ^(-1)Q = λv^T

v^T = λv^T

Taking the norm of both sides, we have:

|v|^2 = |λ|^2|v|^2

Since v is non-zero, we can cancel the |v|^2 term and we get:

|λ|^2 = 1

Taking the square root of both sides, we get |λ| = 1.

b) Let Q1 and Q2 be orthogonal matrices. Then we have:

(Q1Q2)^T(Q1Q2) = Q2^TQ1^TQ1Q2 = Q2^TQ2 = I

where we have used the fact that Q1^TQ1 = I and Q2^TQ2 = I since Q1 and Q2 are orthogonal matrices. Therefore, Q1Q2 is an orthogonal matrix.

Answer:

Step-by-step explanation:

A= - 101

B = 4( r + 4x - 2 )

C = x < 5/3

I hope this helps. Best of luck.

The recursive and the explicit formulas are f(n) = 3f(n - 1), where f(1) = 250 and f(n) = 250(3)ⁿ‐¹

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

This means that

Initial, a = 250 bacterial cultures.

Rate = 3

So, the recursive formulas is

f(n) = 3f(n - 1), where f(1) = 250

For the explicit formula, we have

f(n) = 250(3)ⁿ‐¹

Hence, the recursive and the explicit formulas are f(n) = 3f(n - 1), where f(1) = 250 and f(n) = 250(3)ⁿ‐¹

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The probability that a 34 square foot metal sheet has at least 9 defects is 0.4308, rounded to four decimals.

Given that the sheet metal has an average of 7 defects per 20 square feet, we can find the rate parameter (λ) of the Poisson distribution as follows:

λ = (7 defects / 20 sq ft) = 0.35 defects per square foot

Let X be the number of defects in a 34 square foot metal sheet. Since X follows a Poisson distribution with rate parameter λ, we can find the probability that X is at least 9 defects using the cumulative distribution function (CDF) of the Poisson distribution:

P(X ≥ 9) = 1 - P(X < 9) = 1 - F(8)

where F(k) is the CDF of the Poisson distribution with rate parameter λ evaluated at k.

Using the Poisson distribution formula for F(k), we have:

F(k) = P(X ≤ k) = ∑(i=0 to k) [(λ^i * e^(-λ)) / i!]

Using a calculator or software, we can find that:

F(8) = P(X ≤ 8) = 0.5692

Therefore, we have:

P(X ≥ 9) = 1 - F(8) = 1 - 0.5692 = 0.4308

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Answer:

\(\sqrt{169}=13\)

\(13-5=8\)

The Euler equation represents the relationship between current-period consumption and future-period consumption in the optimum. It is derived from intertemporal optimization in economics.

In the context of consumption, the Euler equation can be expressed as:

u'(Ct) = β * u'(Ct+1)

where:

- u'(Ct) represents the marginal utility of consumption in the current period,

- Ct represents current-period consumption,

- β is the discount factor representing the individual's time preference,

- u'(Ct+1) represents the marginal utility of consumption in the future period.

This equation states that the marginal utility of consumption in the current period is equal to the discounted marginal utility of consumption in the future period. It implies that individuals make consumption decisions by considering the trade-off between present and future utility.

Note: The Euler equation assumes a constant discount factor and a utility function that is differentiable and strictly concave.

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Answer:

-3x^{4}+2x^{3}+4x^{2}

Step-by-step explanation:

Re-order terms so constants are on the left

-x^{2}\left( 3x^{2}-2x-4\right)

-x^{2}\left( 3x^{2}-2x-4\right)

2

Distribute

-\textcolor{#C58AF9}{x^{2}\left( 3x^{2}-2x-4\right) }

-\left( \textcolor{#C58AF9}{3x^{4}-2x^{3}-4x^{2}}\right)

3

Distribute

-\left( 3x^{4}-2x^{3}-4x^{2}\right)

-3x^{4}+2x^{3}+4x^{2}

The area of the circle is 28.27433

As the sample size rises, the sample distribution approaches a normal distribution.

The sample distribution approaches a normal distribution as the sample size grows. The sampling distribution's mean equals the population's mean if the number of consecutive samples is "infinite".

The Gaussian distribution is the official name for the normal distribution. However, the word "normal" was coined in the nineteenth century after a scientific inquiry revealed that numerous natural events appeared to "deviate from normal" from their typical values.

In his 1889 work Natural Inheritance, naturalist Sir Francis Galton popularized the notion of normal variability as the standard curve.

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