-2/3x + 9 = 4/3x -3​

Answer:

the answer is 2

Step-by-step explanation:

Question:

Three students were working on 630,000÷700 in math class.

a. Desiree finds the quotient is 9,000 and Micah finds the quotient is 900.

    Determine which student found the correct quotient.

b. Delilah finds her answer is 90, but she copied the expression incorrectly from the board. If her reasoning and answer for the expression she copied are correct, what expression might she have written?

Answer:

a. Micah is correct

b.

\(Expression = 63000 \div 700\)

\(Expression = 630000 \div 7000\)

Step-by-step explanation:

Given

\(Expression = 630000 \div 700\)

\(Desiree = 9000\)

\(Micah = 900\)

Solving (a): Who is correct?

To do this, we first calculate the quotient of the expression.

\(Expression = 630000 \div 700\)

Divide 630000 by 700

\(Quotient = 900\)

Hence:

Micah is correct

Solving (b): What Delilah must have copied?

We have:

\(Delilah = 90\)

There are no options to pick from. So, we just need to work out expressions that equals 0.

Possible expressions are:

\(Expression = 63000 \div 700\)

\(Expression = 630000 \div 7000\)

Answer:

Angle R is included beteen QR and RP

Angle Q is included between QR and PQ

RP is included between angle P and angle R

QP is included between angle Q and angle P

Step-by-step explanation:

Constant of variation for given quadratic equation is 2/3

Correct option is a.

The ratio between two variables in a direct variation or the product of two variables in an inverse variation.

In the direct variation equations = k and y = k x,

and the inverse variation equations x y = k and

k is the constant of variation.

Given,

quadratic equation,

15y = 10x²

y = (10/15)x²

y = (2/3)x²

Comparing it with general form y = kx²

k = 2/3

Hence, 2/3 is constant of variation for the quadratic equation.

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The parent function is,

The graph is stretched horizontally when x is replaced by kx where k is less than 1.

Thus, option (B) is the correct solution as x is replaced by x/2 in the F(x) to get G(x).

The red curve represents F(x) and the blue one represents G(x).

A worker who has been unemployed for two years and has stopped looking for work is A. discouraged and not counted in the unemployment rate.

This is because the unemployment rate only includes individuals who are actively seeking employment. If a worker becomes discouraged and stops actively looking for work, they are no longer counted as part of the labor force. However, it is important to note that this does not mean the worker is not facing significant challenges related to employment.

Additionally, there are other individuals who may be underemployed, meaning they are working in jobs that do not fully utilize their skills or education, and may not be counted in the unemployment rate. Overall, the unemployment rate provides a limited snapshot of the labor market and should be interpreted in conjunction with other measures of employment and economic activity. So correct answer is  A. discouraged and not counted in the unemployment rate.

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The magnitude of the net electric field at point P due to the particle is 0 . explanation is given as

let us assume that , The charges of the four particles and the distance are given then on understanding the  concept of electric field  at electrostatics concept. on using the concept of the electric field at any given point, then production of  individual electric field by a charge. and we known the concept of superposition law, on applying the law  we  get the value of the electric field in its direction and this shows the determination of   the net electric field at that point.

The magnitude of the electric field,  

E = q * R

where R = The distance of field at  point from the charge, and q = charge of the individual particle

According to the superposition principle, the electric field at a single point due to more than one charges present ,hence on calculation of net electric field  we get the origin of the coordinate system  which is placed at point P and the y-axis is situated and oriented in the direction of the charge,  (passing through the charge, ). The x-axis which  is perpendicular to the y axis, and thus passes through the identical charges, then the  individual magnitudes of an electric field is due to the charges are demonstrated by using the absolute signs of the charges. Now let us assume that the point charge which  being positive i.e  ( q > 0), we can see that the contributions coming from each charge gets cancel to each other. Therefore the net electric field in the direction of the y-axis is given using equation as  E= 0

hence the net electric field is zero .

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The size of the quarterly deposits in Shelby's RRSP account was approximately $147.40.

Let's denote the size of the quarterly deposits as \(D\). The total number of deposits made over 9 years is \(9 \times 4 = 36\) since there are 4 quarters in a year. The interest rate per period is \(r = \frac{3.50}{100 \times 12} = 0.0029167\) (3.50% annual rate compounded monthly).

Using the formula for the future value of an ordinary annuity, we can calculate the accumulated value of the RRSP fund:

\[55,000 = D \times \left(\frac{{(1 + r)^{36} - 1}}{r}\right)\]

Simplifying the equation and solving for \(D\), we find:

\[D = \frac{55,000 \times r}{(1 + r)^{36} - 1}\]

Substituting the values into the formula, we get:

\[D = \frac{55,000 \times 0.0029167}{(1 + 0.0029167)^{36} - 1} \approx 147.40\]

Therefore, the size of the quarterly deposits, rounded to the nearest cent, is approximately $147.40.

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Answer: A geometric proof involves writing reasoned, logical explanations that use definitions, axioms, postulates, and previously proved theorems to arrive at a conclusion about a geometric statement.

The example that illustrates the difference between statistical significance and practial significance is

In a survey arranged by school-authority of a district on participation in sports by school-going boys and girls, it is found that 60% of boys and 57% of girls participate in outdoor sports. Thus the survey shows a 3% difference between school-going boy-participants and girl-participants in outdoor sports. Now the point is how much significance this 3% difference has statistically as well as practically. Statistical significance of this 3% depends upon the size of data used in determining the percentage of boys and girls participate in sports. If a sufficiently big sample size is used then the difference is statistically significant, and if a very small sample size is used then the difference is statistically insignificant. Thus bigger the sample size more is the statistical significance of a computed figure.

On the other hand practical significance of this 3% difference arises if decision is made or action is taken or needs to be taken on the basis of this 3% difference. If cost permits, the authority may consider promoting girl students participation in sports in order to bring about more gender parity in outdoor sports. In this case the 3% difference though small, may be practically significant.

Statistical significance is a measure of whether your research findings are meaningful. It is concerned with whether a research result is due to chance or sampling variability. Where, practical significance is concerened with wheteher the result is useful in the real world.

Therefore, the example that illustrates the difference between statistical significance and practial significance is

In a survey arranged by school-authority of a district on participation in sports by school-going boys and girls, it is found that 60% of boys and 57% of girls participate in outdoor sports. Thus the survey shows a 3% difference between school-going boy-participants and girl-participants in outdoor sports. Now the point is how much significance this 3% difference has statistically as well as practically. Statistical significance of this 3% depends upon the size of data used in determining the percentage of boys and girls participate in sports. If a sufficiently big sample size is used then the difference is statistically significant, and if a very small sample size is used then the difference is statistically insignificant. Thus bigger the sample size more is the statistical significance of a computed figure.

On the other hand practical significance of this 3% difference arises if decision is made or action is taken or needs to be taken on the basis of this 3% difference. If cost permits, the authority may consider promoting girl students participation in sports in order to bring about more gender parity in outdoor sports. In this case the 3% difference though small, may be practically significant.

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Based on the time it took the patient to recover and the mean and standard deviation, the z-score is 1.5.

The z-score for this patient who takes 7 days to recover can be found as:

= (Time taken to recover - Mean) / Standard deviation

Solving for the z-score gives:

= (7 - 5.2) / 1.2

= 1.8 / 1.2

= 1.5

The first part of the question is:

The patient recovery time from a particular surgical procedure is normally distributed with a mean of 5.2 days and a standard deviation of 1.2 days.

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When specializing in the goods they have a comparative advantage in, you will produce 36 pounds of apples and your neighbor will produce 16 pounds of cherries. After trading half of your production for half of your neighbor's, you will end up consuming 18 pounds of apples and 8 pounds of cherries, while your neighbor will consume 18 pounds of cherries and 4 pounds of apples.

To find the production levels when specializing, we need to identify the goods each party has a comparative advantage in. You produce 72 pounds of apples and 12 pounds of cherries when focusing solely on each good, while your neighbor produces 32 pounds of both apples and cherries. You have a comparative advantage in apples since you can produce 6 times more apples than cherries (72 apples vs. 12 cherries) while your neighbor can only produce twice as many apples as cherries (32 apples vs. 16 cherries).

Thus, you will specialize in apple picking, and your neighbor will specialize in cherry picking. As a result, you will produce 36 pounds of apples, and your neighbor will produce 16 pounds of cherries. After trading, you both end up with half of each other's production. You will consume 18 pounds of apples and 8 pounds of cherries, while your neighbor will consume 18 pounds of cherries and 4 pounds of apples. This specialization and trade allow both of you to enjoy a more diverse consumption bundle and increase overall welfare.

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The equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is y = (5/2) * x^2y + 1. This equation represents a curve where the y-coordinate is a function of the x-coordinate, satisfying the conditions.

To determine an equation of the curve that satisfies the conditions, we can integrate the slope function with respect to x to obtain the equation of the curve. Let's proceed with the calculations:

We have:

Point: (0, 1)

Slope: 5xy

We can start by integrating the slope function to find the equation of the curve:

∫(dy/dx) dx = ∫(5xy) dx

Integrating both sides:

∫dy = ∫(5xy) dx

Integrating with respect to y on the left side gives us:

y = ∫(5xy) dx

To solve this integral, we treat y as a constant and integrate with respect to x:

y = 5∫(xy) dx

Using the power rule of integration, where the integral of x^n dx is (1/(n+1)) * x^(n+1), we integrate x with respect to x and get:

y = 5 * (1/2) * x^2y + C

Applying the initial condition (0, 1), we substitute x = 0 and y = 1 into the equation to find the value of the constant C:

1 = 5 * (1/2) * (0)^2 * 1 + C

1 = C

Therefore, the equation of the curve that passes through the point (0, 1) and has a slope of 5xy at any point (x, y) is:

y = 5 * (1/2) * x^2y + 1

Simplifying further, we have:

y = (5/2) * x^2y + 1

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Answer:hhhhds

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

-(7/4) equals -7/4 or negative seven forths. Its doesn't matter where the negative sign is as long there's only 1 of them and that its still 7/4.

So through process of elimination, we take out B because theres 2 negative, which make a positive, our answer is negative

C is wrong because its 4/7, not 7/4

D is wrong because it's positive, leaving us with A

Answer:

parallelogram

Step-by-step explanation:

it has 2 parallel sides

The effective annual rate for a 8.65% interest compounded monthly is 9.14%.

To calculate the effective annual rate, we need to take into account the compounding frequency. In this case, the interest is compounded monthly.

We can use the formula for compound interest to calculate the effective annual rate:

Effective Annual Rate = (1 + (interest rate / compounding frequency))^compounding frequency - 1

Plugging in the given values:

Effective Annual Rate = (1 + (8.65% / 12))^12 - 1

                     = (1 + 0.0072083)^12 - 1

                     = 1.0072083^12 - 1

                     ≈ 0.0914 or 9.14%

Therefore, the effective annual rate for a 8.65% interest compounded monthly is approximately 9.14%.

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R7.50/1$

?/2500$

2500 * 7.50 =

18750

Alpha can be interpreted as false positives or the significance level in hypothesis testing.

Alpha refers to the significance level in hypothesis testing, which is the predetermined threshold used to determine whether to reject the null hypothesis.

It represents the probability of rejecting the null hypothesis when it is actually true, leading to a Type I error.

A false positive occurs when the test incorrectly concludes that there is a significant effect or relationship, even though it does not exist in reality.

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Answer:

3.

1.x=√(15²-12²)=√81=9

2.x=√(6²+6²)=6√2

3.c=√(√19²-√7²)=√(19-7)=√12

Step-by-step explanation:

4.h=10

a=b=x

we have

by using Pythagoras law

h²=x²+x²

100=2x²

x²=50

x=√50=5√2

both legs =5√2

Answer:

1018 miles

Step-by-step explanation:

To find the area of a circle, the area is  πr². This means you can simply put in the value of 18 as the radius:

 π x (18)²

= 1017.88

Then round to the nearest whole number:

= 1018 miles

In the given definitions, there are several difficulties and violations of the rules for definition by genus and difference. These include ambiguity, lack of specificity, and the inclusion of irrelevant information.

The rules being violated include the requirement for clear and concise definitions, inclusion of essential characteristics, and avoiding irrelevant or subjective statements.

12. The definition of a raincoat as an outer garment of plastic that repels water is too broad. It lacks specificity regarding the material and construction of the raincoat, as not all raincoats are made of plastic. Additionally, the use of "outer garment" is subjective and does not provide a clear distinction from other types of clothing.

13. The definition of a hazard as anything that is dangerous is too broad and subjective. It fails to provide a specific category or characteristics that define what qualifies as a hazard. The definition should include specific criteria or conditions that identify a hazard, such as the potential to cause harm or risk to safety.

14. The definition of sneezing as emitting wind audibly by the nose is too narrow and lacks clarity. It excludes other aspects of sneezing, such as the involuntary reflex and the expulsion of air through the mouth. The definition should encompass the essential characteristics of sneezing, including the reflexive nature and expulsion of air to clear the nasal passages.

15. The definition of a bore as a person who talks when you want him to listen is subjective and relies on personal preference. It does not provide objective criteria or essential characteristics to define a bore. A more appropriate definition would focus on the tendency to dominate conversations or disregard the interest or input of others.

In conclusion, these definitions violate the rules for definition by genus and difference by lacking specificity, including irrelevant information, and relying on subjective or ambiguous criteria. Clear and concise definitions should be based on essential characteristics and avoid personal opinions or subjective judgments.

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1.)  Probabilities range from 0 to 1, denoting impossibility and certainty, respectively.

2.) The sum of probabilities of all possible outcomes is equal to 1.

1.) Individual probabilities will always have values between 0 and 1. This property is known as the "probability bound." Probability is a measure of uncertainty or likelihood, and it is represented as a value between 0 and 1, inclusive.

A probability of 0 indicates impossibility or no chance of an event occurring, while a probability of 1 represents certainty or a guaranteed outcome.

Any probability value between 0 and 1 signifies varying degrees of likelihood, with values closer to 0 indicating lower chances and values closer to 1 indicating higher chances. In simple terms, probabilities cannot be negative or greater than 1.

2.) The sum of the probabilities of all individual outcomes must equal 1. This principle is known as the "probability mass" or the "law of total probability." When considering a set of mutually exclusive and exhaustive events, the sum of their individual probabilities must add up to 1.

Mutually exclusive events are events that cannot occur simultaneously, while exhaustive events are events that cover all possible outcomes. This property ensures that the total probability accounts for all possible outcomes and leaves no room for uncertainty or unaccounted possibilities.

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Answer:

\(\frac{5}{18}\)

Step-by-step explanation:

When dividing fractions, the formula is simple: Keep Flip Change (KFC)

So keep \(\frac{1}{4}\) change your division sign to a multiplication sign, and flip \(\frac{9}{10}\) so it becomes \(\frac{10}{9}\).

\(\frac{1}{4}\)·\(\frac{10}{9}\)=\(\frac{10}{36}\)

Then you need to reduce your fraction to simplest form.

\(\frac{5}{18}\)

The limit of f(x)g(x) as x approaches 0 is 0.

Given that limx→0f(x) = limx→0g(x) = 0, it implies that both f(x) and g(x) approach 0 as x approaches 0. If the limit of f'(x)g'(x) exists, it means that the derivatives f'(x) and g'(x) exist and approach finite values as x approaches 0.

Since g(x) ≠ 0 for x ≠ 0, it follows that f(x)g(x) approaches 0 as x approaches 0. This is because the product of f(x) approaching 0 and g(x) approaching a finite value will result in the overall limit being 0.

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Step-by-step explanation:

20 a + I 5 b + 3a - 3b

23 a + 12b

The radius of the circle is approximately 20.3 meters (rounded to the nearest tenth).

Given,

Arc length of RT⏠ = RT

= 108.6 m and

θ = 251°

We know that the arc length formula is: arc length (s) = θ/360 x 2πr.

The term 2π represents twice the value of π,

where π is a mathematical constant approximately equal to 3.14159.

Using the given values, we can substitute them into the formula:

108.6 = (251/360) x 2πr.

To find the radius (r), we can rearrange the formula and solve for r:

r = 108.6 / [(251/360) x 2π].

Evaluating the expression, we find:

r ≈ 20.3 meters.

Therefore, the radius of the circle is approximately 20.3 meters (rounded to the nearest tenth).

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Step-by-step explanation:

I would say a speed/time line graph because those types of graphs are usually used for these scenarios in Physics problems.

Hope this helped!

The rocket is at a height of 16 ft after 1 second.

To find the time when the rocket is at a height of 16 ft, we need to solve the equation S(t) = 16, where S(t) represents the height of the rocket at time t.

Substituting the given equation for S(t), we have:

-16t² + 32t = 16

Rearranging the equation, we get:

-16t² + 32t - 16 = 0

Dividing the equation by -16 to simplify, we have:

t² - 2t + 1 = 0

Factoring the quadratic equation, we have:

(t - 1)(t - 1) = 0

Since (t - 1)(t - 1) = (t - 1)², we can rewrite the equation as:

(t - 1)² = 0

Taking the square root of both sides, we get:

t - 1 = 0

Solving for t, we find:

t = 1

Therefore, the rocket is at a height of 16 ft after 1 second.

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