Hey! I need help with this question. I know the answer, I need to understand how to get to that answer (with details and explanation)
Aaron borrows $150 from his friend Austin. He promises to pay back the money in 4 monthly installments. Each month he wants to pay half the amount he paid the previous month. Assuming Austin does not charge any interest, how much should Aaron pay the first month to repay the money as scheduled?
A.
$60
B.
$70
C.
$80
D.
$90
E.
$100

Answer:

x=−5/2 y+ 3/2

Step-by-step explanation:

Let's solve for x.

2x+5y=3

Step 1: Add -5y to both sides.

2x+5y+−5y=3+−5y

2x=−5y+3

Step 2: Divide both sides by 2.

2x/2

=

−5y+3

2x=

−5y+ 3/2

Answer:

x=−5/2 y+ 3/2

Answer:

x =4 , y = -1

Step-by-step explanation:

I used substitution method.

Hope I was able to help . Good luck!

Answer:

Step-by-step explanation:

To solve the given equation \(\sf x - y = 4 \\\), we can perform the following calculations:

a) To find the value of \(\sf 3(x - y) \\\):

\(\sf 3(x - y) = 3 \cdot 4 = 12 \\\)

b) To find the value of \(\sf 6x - 6y \\\):

\(\sf 6x - 6y = 6(x - y) = 6 \cdot 4 = 24 \\\)

c) To find the value of \(\sf y - x \\\):

\(\sf y - x = - (x - y) = -4 \\\)

Therefore:

a) The value of \(\sf 3(x - y) \\\) is 12.

b) The value of \(\sf 6x - 6y \\\) is 24.

c) The value of \(\sf y - x \\\) is -4.

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The equation that represents the total number of miles the car has been driven after the number of days that Clarence works is m = 1050 + 90d

Number of miles driven = 1050 miles

Miles drove by Clarence = 90

Number of days = d

Based on the information given, the equation to use will be:

= 1050 + (90 × d)

= 1050 + 90d

Therefore, the number of miles is 1050 + 90d.

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Answer:

13/36 is left

Step-by-step explanation:

cow- 1/3 = 12/36

goose- 1/12 = 3/36

goat= 2/9 = 8/36

12 + 3 + 8 = 23/36

23/36 is consumed...

13/36 is left

The fraction of the snack left in the bucket will be 13/36.

The fraction is defined as the division of the whole part into an equal number of parts.

Given that:

The amount consumed is:-

( 12/ 36 )+ (3 / 36 ) +( 8 / 36 )  = 23/36

So the amount left will be calculated as:-

Amount left = 1 - ( 23 / 36 )

Amount left = ( 36 - 23 ) / 36

Amount left = 13 / 36

Therefore fraction of the snack left in the bucket will be 13/36.

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The compounds can be arranged in order of increasing boiling point temperature as follows:
O2 < N2 < NO

To determine the relative order of increasing boiling point temperature for the compounds O2, NO, and N2, we need to consider their intermolecular forces. Boiling point is generally influenced by the strength of these forces.

1. O2: Oxygen (O2) is a diatomic molecule held together by a double covalent bond. It is a nonpolar molecule, and its boiling point is relatively low compared to other compounds. This is because oxygen molecules experience weak London dispersion forces between them. These forces arise from temporary fluctuations in electron distribution, resulting in temporary dipoles. As a result, oxygen has the lowest boiling point temperature in this sequence.

2. N2: Nitrogen (N2) is also a diatomic molecule held together by a triple covalent bond. Like oxygen, it is a nonpolar molecule and experiences London dispersion forces. However, nitrogen molecules are slightly larger and have more electrons, leading to stronger London dispersion forces compared to oxygen. As a result, nitrogen has a higher boiling point temperature compared to oxygen.

3. NO: Nitric oxide (NO) is a linear molecule with a polar covalent bond. It has a lone pair of electrons on the nitrogen atom, which leads to a dipole moment. This polarity allows for the formation of dipole-dipole interactions between NO molecules, in addition to London dispersion forces. Dipole-dipole interactions are stronger than London dispersion forces alone. Therefore, NO has the highest boiling point temperature among the three compounds.

To summarize, the compounds can be arranged in order of increasing boiling point temperature as follows:
O2 < N2 < NO

Please note that this order is based on the information provided about the compounds and their intermolecular forces. In reality, there may be other factors that can influence boiling point temperature, such as molecular size and shape, which are not considered in this specific question.

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The statement for all possible combinations of truth values for its variables. This can help identify patterns and simplify the expression.

To simplify a complicated expression in formal logic, you can use various techniques such as logical equivalences, truth tables, and laws of logic. The goal is to reduce the expression to its simplest form, making it easier to analyze and understand.

Here are some steps you can follow to simplify the statement "s":

1. Identify the logical operators: Look for logical operators like AND (∧), OR (∨), and NOT (¬) in the expression. These operators help connect different parts of the statement.

2. Apply logical equivalences: Use logical equivalences to transform the expression into an equivalent, but simpler form. For example, you can use De Morgan's laws to convert negations of conjunctions or disjunctions.

3. Simplify using truth tables: Construct a truth table for the expression to determine the truth values of the statement for all possible combinations of truth values for its variables. This can help identify patterns and simplify the expression.

4. Use laws of logic: Apply laws of logic such as the distributive law, commutative law, or associative law to simplify the expression further. These laws allow you to rearrange the terms or combine similar terms.

5. Keep simplifying: Repeat the steps above until you cannot simplify the expression any further. This ensures that you have reached the simplest form of the expression.

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Answer:

They are both correct.

Step-by-step explanation:

As we can see, it does not matter whether you plug in x or y in a system of equatins. One thing somebody might be skeptical about in this equation is that one of the equations does not contain a variable. BUT, if reading closer, one can see that both x and y have to be in one of the equations to make the other true.

Hope this helped!

We will see that both Jared and Nicole are correct.

So we know that Jared found an equation:

y = x + 10, then he substituted y for (x + 10) on the other equation, this would be the substitution method, and Jared is correct so far.

We also know that Nicole found the equation:

x = y - 10

And she replaced x by y - 10 on the other equation, she is also correct.

Each one just substituted a different variable, that is why they have different approaches, but in both cases the substitutions are correct.

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Answer:

x = 1

x= -2.5

Step-by-step explanation:

we can use perfect square method quadratic method or solve it using a calculator directly

Hello there,

According to the number line, Below given are the answers:-

a > b (False)

|a| > |b| (False)

|a| > b ( False)

By Benjemin

The values of ∂z/∂r and ∂z/∂s. These partial derivatives will depend on the specific function F(u, v, w) provided.

To find ∂z/∂r and ∂z/∂s, we need to differentiate z = F(u, v, w) with respect to r and s.
Given that u = r^2, v = -2s^2, and w = ln(r) + ln(s), we can substitute these values into z = F(u, v, w).
So, z = F(r^2, -2s^2, ln(r) + ln(s)).
To find ∂z/∂r, we differentiate z with respect to r while treating s as a constant. This gives us:
∂z/∂r = ∂F/∂u * ∂u/∂r + ∂F/∂w * ∂w/∂r.
Similarly, to find ∂z/∂s, we differentiate z with respect to s while treating r as a constant. This gives us:
∂z/∂s = ∂F/∂v * ∂v/∂s + ∂F/∂w * ∂w/∂s.
Since we don't have the specific function F(u, v, w) mentioned in the question, we cannot determine the values of ∂z/∂r and ∂z/∂s. These partial derivatives will depend on the specific function F(u, v, w) provided.

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Answer:

C) 4/25

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Answer:

c

Step-by-step explanation:

:)

If z = log(y) where z is a random variable following the standard normal distribution, \(e(y) = exp(1/2).\)

To compute e(y), we'll need to use the properties of the standard normal distribution, logarithms, and expectations.

First, recall that z is a standard normal random variable, which means it follows the normal distribution with mean μ = 0 and standard deviation σ = 1.

Next, we are given that z = log(y). To find e(y), we need to find the expected value of Y. We can do this by transforming the random variable z into Y using the exponential function. Since z = log(y), we have y = exp(z), where exp denotes the exponential function.

Now, we need to compute the expected value e(y). Using the properties of expectations, we have:

\(e(y) = e(exp(z))\)

Since z is a standard normal random variable, we know the probability density function (pdf) of z is given by:

\(f(z) = (1/sqrt(2π)) * exp(-z^2/2)\)

To compute e(y), we integrate the product of y and its pdf with respect to z:

\(e(y) = ∫[exp(z) * (1/sqrt(2π)) * exp(-z^2/2)] dz,\)from -∞ to ∞

This integral can be evaluated using a known result called the moment generating function (MGF) of the standard normal distribution:

\(E(exp(tz)) = exp(μt + (σ^2 * t^2)/2)\)

For our case, μ = 0, σ = 1, and t = 1, so the MGF becomes:

\(e(y) = e(exp(z)) = exp((0 * 1) + (1^2 * 1^2)/2) = exp(1/2)\)

Thus, the expected value of Y is:

\(e(y) = exp(1/2).\)

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The total change in the consumed quantity of x₁ as per given price and income  is equal to 213.

x₁ = (21/7)P₁

x₂ = (51/7)P₂

P₁ = 10

P₂ = 5

P₁' = 81

To calculate the total change in the quantity consumed of x₁ when the price of P₁ changes from P₁ to P₁',

The difference between the quantities consumed at the original price and the new price.

Let's calculate the quantity consumed at the original price,

x₁ orig

= (21/7)P₁

= (21/7) × 10

= 30

x₂ orig

= (51/7)P₂

= (51/7) × 5

= 36.4286 (approximated to 4 decimal places)

Now, let's calculate the quantity consumed at the new price,

x₁ new

= (21/7)P1'

= (21/7) × 81

= 243

x₂ new

= (51/7)P2

= (51/7) × 5

= 36.4286

The total change in the quantity consumed of x₁ can be calculated as the difference between the new quantity and the original quantity,

Change in x₁

= x₁ new - x₁ original

= 243 - 30

= 213

Therefore, the total change in the quantity consumed of x₁ is 213.

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The above question is incomplete, the complete question is:

The optimal amount of x1, x2, P1, P2 and income are given by the following:

x1= 21/ 7p1 x2= 51 / 7p2

The original prices are: P1=10 P2=5 The original income is: I =4189 The new price of P1 is the following: P1'=81 Assume that the price of x1 has changed from P1 to P1'. What is the total change in the quantity consumed of x1?

Please answer step by step

Grantly must place the chairs close enough so that people can easily speak with one another

Grantly is designing a sitting area that will be located outside of his client's master bedroom. He intends to furnish the area with a few rugs, an end table, and chairs.  The seats should be spaced apart just enough to allow for easy conversation while seated, but not too much that it seems crowded. For easy access, end table should be positioned close to the seats. The placement of rugs should be such that they both define seating area and add to overall attractiveness of the space.

To make sure that chairs, end table, and rugs fit properly without giving area a claustrophobic feeling, Grantly should take measurements of the available space in the sitting room. He should also consider how the master bedroom is organised as well as any existing furnishings or fixtures that could have an impact on how the sitting room furniture is arranged. Additionally, seating should be set up so that conversing with one another while seated is simple. Conversation can be facilitated and a cosy environment can be created by positioning chairs in a circula configuration, facing one another.

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Answer:

The standard deviation is a measure of the amount of variation or dispersion of a set of values.

The standard deviation is a statistic that describes the degree of volatility or dispersion in a set of numerical values.

The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers.

While a high standard deviation suggests that the values are dispersed over a wider range, a low standard deviation suggests that the values tend to be close to the mean (also known as the anticipated value) of the collection.

The lowercase Greek letter (sigma), for the population standard deviation, or the Latin symbol s, for the sample standard deviation, are most frequently used in mathematical texts and equations to indicate standard deviation. Standard deviation may be written as SD.

Therefore, the standard deviation is a statistic that describes the degree of volatility or dispersion in a set of numerical values.

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Answer: 2 hours and 35 minutes. Aka 2:35

Step-by-step explanation: to find when it starts and ends, subtract 6:35pm by 9:10pm

So 9-6 is 3 and there is a problem when you do 10-35. 35 is bigger which means you have to take away an hour so the 3 becomes a 2 and then you add 60 onto the 10 even though the limit is 60 minutes because it equals an hour. So you now have 2 hours and 70 minutes - 35. Well that is 35 because 35+35 = 70 meaning the movie is 2 hours, 35minutes

Answer:

c = ab -9

Step-by-step explanation:

ab-c=9

Subtract ab from each side

ab-c - ab=9-ab

-c=9-ab

Multiply each side by -1

c = -9+ab

Rewriting

c = ab -9

The probability that the website has fewer than 8 million visitors in a single day is 0.2061 or 20.61%.Hence, option C is correct.

The traffic to the web site of Made by Charmz, LLC which sells customized mugs, follows a normal distribution,

with a mean of 8.5 million visitors per day and a standard deviation of 610,000 visitors per day.

The problem asks us to find the probability that the website has fewer than 8 million visitors in a single day.

Therefore, we need to find P(X < 8 million).

Using the Z-score formula, we have;

\(Z=\frac{X-\mu}{\sigma}\)

Where X = 8 million, μ = 8.5 million and σ = 610,000.

Substituting the given values in the formula, we get:

\(Z=\frac{8-8.5}{0.61}=-0.8197\)

Using a standard normal table, the probability corresponding to Z-score = -0.8197 is 0.2061.

Therefore, the probability that the website has fewer than 8 million visitors in a single day is 0.2061 or 20.61%.Hence, option C is correct.

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Answer:

-1/2

Step-by-step explanation:

slope = (y2-y1)/(x2-x1)

(4-6)/(0--4) since it's minus a negative that becomes plus so it's really

(4-6)/(0+4)=-2/4 or -1/2

Answer:

linear pair: a pair of angles that equal 180 and make a line

complementary angles: 2 angles that equal 90 degrees

vertical angles: angles that are vertical from each other that equal the same sum

supplementary angles: 2 angles that equal 180 degrees

Step-by-step explanation:

ima sophomore did this a long time ago.

Answer:

x= -2, y= -9

Step-by-step explanation:

let -4x+y=-1 be [1]

and y=2x-5 be [2]

Sub [2] into [1]

-4x+(2x-5)=-1

-4x + 2x -5 = -1

-2x -5 = -1

-2x = 4

2x = -4

x = -2

Sub x=-2 into [2]

y=2(-2)-5

y=-4-5

y=-9

Answer:

Step-by-step explanation:

its 56

Step-by-step explanation:

A VERY tall cell tower !

Set up as a ratio

6 ft is to 16 inches    as  height is to 124(12) inches

6/16 = height/(124*12)

height = 6/16 * 124*12 = 558 ft tall

Answer:

D

Step-by-step explanation:

First take out a factor of 2:

2(1 - 25x^2)

Then factor the difference of squares:

2(1 -5x)(1+5x)

Answer:

g(x) = x is the base function.

To shrink it vertically by 1/2, make 1/3 the coefficient of the variable x.

To shift it 4 units to the right, subtract 4 from within the squared variable.

To shift 5 units down, subtract 5 from the entire function.

Step-by-step explanation:

Answer:

The answer is 3

Hope this helps!

Based on scientific evidence, cost-benefit analysis, and risk assessment, it is justifiable to continue nuclear power production in the United States, provided that adequate safety measures and regulations are in place.

Claim, Nuclear power production should be continued in the United States.

Evidence, There are several reasons to support the continued use of nuclear power production in the United States. Firstly, nuclear power plants provide a significant source of low-carbon energy that can help to reduce greenhouse gas emissions and mitigate climate change. Secondly, nuclear power is a reliable and stable source of energy that can provide baseload power to the electrical grid, which is essential for meeting the energy demands of a modern society. Finally, nuclear power has a proven track record of safety and has become increasingly safe over time, with advanced safety systems and protocols in place to prevent accidents and minimize their impact.

Reasoning, Despite the risks associated with nuclear power production, the benefits outweigh the risks. While there is always a risk of accidents and radioactive contamination, the probability of such events is low, and the consequences can be mitigated through effective safety measures and emergency response plans.

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Answer:

d.  x² + 5x - 104 = 0

Step-by-step explanation:

(x+5)x = 104

x² + 5x = 104

x² + 5x - 104 = 0

Answer:

2 x 10 to the 3rd power

Step-by-step explanation:

0.008/0.000004 = 2,000

2,000 = 2 x 10 3

Answer:

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Answer:

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