While shopping for gifts, Asha bought 4 candles and 2 picture frames for $20, Jacob bought 6 candles and 1 picture frame for $18. If all candles cost the same amount, and all picture frames cost the same amount, how much does each picture frame cost?
A. $2
b. $3
c.$5
d.$6

The point of intersection between the given plane and the line perpendicular to the plane and passing through (8, 4, 3) is (8, 4, 3).

To find the point of intersection, we first need to determine the equation of the given plane and the equation of the line perpendicular to that plane. Once we have these equations, we can solve them simultaneously to find the coordinates of the point of intersection.

Equation of the given plane

The equation of a plane is typically represented in the form ax + by + cz = d, where a, b, and c are the coefficients of the plane's normal vector, and d is a constant. Without the specific equation of the given plane, we cannot proceed further in determining the point of intersection.

Equation of the line perpendicular to the plane

To find the equation of the line perpendicular to the plane, we need the normal vector of the plane. The normal vector is perpendicular to the plane's surface and can be obtained from the coefficients a, b, and c in the plane's equation. Using the normal vector, we can construct the equation of the line passing through (8, 4, 3) that is perpendicular to the plane.

Solving the equations

With the equation of the plane and the equation of the line, we can set them equal to each other and solve for the values of x, y, and z. The resulting coordinates will give us the point of intersection..

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Answer:

A. (2,-1) i thought this is hard but its kind of easy actually

Step-by-step explanation:

so you just put the given options into the xs and ys.. so lets say we have (2,-1) 2=x -1=y

now put them into the equations.. y=x-3

-1=2-3( if this is true than this is the right answer)

y= -x +1

-1= -2 +1 (this is also correct)

Answer:

825 people

Step-by-step explanation:

In the City where the election came up, 33% of the eligible voters voted

It is observed that there are 2500 eligible voters approximately.

The people who voted in 2012 is =

33/100 * 2500

=825 People

In 2012, the total number of people who voted in the city is 825 people

The angles of triangle LMN in order from least measure to the greatest measure as angle ∠ N < angle ∠ M < angle ∠ L which is determined by the triangle inequality theorem.

When two lines intersect at a location, vertical angles are generated. They are always equal to each other.

The length of each side of the given triangle LMN is shown below.

LM = 18 cm

MN = 29 cm

LN = 20 cm

According to the triangle inequality theorem, in a triangle, the largest angle is the one opposite to the longest side of the triangle.

Therefore, in triangle LMN, we have the greatest angle as angle ∠ L

And the smallest angle is ∠ N

Arrange the angles in ascending order,

angle ∠ N < angle ∠ M < angle ∠ L

Thus, the angles of triangle LMN in order from least measure to the greatest measure as angle ∠ N < angle ∠ M < angle ∠ L.

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In a given study that the null hypothesis asserts the expected value of a phenomenon is 100 resulting in a 95% confidence interval reported as [98.76, 105.24], then we fail to reject the null hypothesis.

Therefore the answer is d) Fail to reject the null hypothesis.

A 95% confidence interval is a range of values that there is a 95% chance that the true value of a population parameter falls within. In this case, the 95% confidence interval is [98.76, 105.24], which includes the expected value of 100 that is stated in the null hypothesis.

Therefore, we fail to reject the null hypothesis because the data does not provide sufficient evidence to suggest that the true value of the population parameter is different from what is stated in the null hypothesis.

It's worth to mention that, Failing to reject the null hypothesis doesn't mean accepting it, it means that we don't have enough evidence to say that the parameter is different from the null hypothesis, it could be due the sample size, or other factors.

--The question is incomplete, complete question is as follows--

"Assume for a given study that the null hypothesis asserts the expected value of a phenomenon is 100. A research study results in a 95% confidence interval reported as [98.76, 105.24]. What decision would you make based on this confidence interval?

a) A decision cannot be made on a confidence interval; a hypothesis test is required.

b) Retain the null hypothesis.

c) Reject the null hypothesis.

d) Fail to reject the null hypothesis."

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There are n different values that the remainder r can take on when \(n^2\) is divided by n 4.

We can use the Remainder Theorem to solve this problem. The Remainder Theorem states that when a polynomial f(x) is divided by (x-a), the remainder is f(a).

Using this theorem, we can see that \(n^2\) divided by n 4 leaves a remainder of \(n^2 - kn 4\), where k is some integer. We want to find how many different values r can take on, which is the same as finding how many different values \($n^2 - kn 4$\) can take on.

Let's rewrite \(n^2 - kn 4 as n(n - k 4)\). This expression tells us that n and n - k 4 have the same remainder when divided by n 4. Therefore, n - k 4 can only take on n different values, namely \(0, n, 2n, \ldots, (n-1)n.\)

For each of these n values, we can find a corresponding value of k that satisfies\($n^2 - kn 4 \equiv r \pmod{n 4}$\), namely \(k = (n^2 - r)/(n 4).\) Therefore, there are exactly n different values that r can take on.

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The probability that the athlete has actually been using the prohibited drug given that they tested positive is approximately 0.5789 or 57.89%.

To solve this problem, we can use Bayes' theorem, which relates the conditional probabilities of two events.

Let A be the event that the athlete has been using the prohibited drug, and let B be the event that the athlete tests positive.

We want to find the probability of A given B, which we can write as P(A | B).

Using Bayes' theorem, we have:

P(A | B) = P(B | A) * \(\frac{P(A) }{P(B)}\)

where P(B | A) is the probability of testing positive given that the athlete has been using the prohibited drug, P(A) is the prior probability of the athlete using the prohibited drug, and P(B) is the overall probability of testing positive, which can be calculated using the law of total probability:

P(B) = P(B | A) * P(A) + P(B | not A) * P(not A)

where P(B | not A) is the probability of testing positive given that the athlete has not been using the prohibited drug, and P(not A) is the complement of P(A), i.e., the probability that the athlete has not been using the prohibited drug.

Using the given information, we can plug in the values:

P(B | A) = 1 - 0.12 = 0.88 (probability of testing positive given the athlete is using the drug)

P(A) = 0.05 (prior probability of the athlete using the drug)

P(B | not A) = 0.04 (probability of testing positive given the athlete is not using the drug)

P(not A) = 1 - P(A) = 0.95 (probability that the athlete is not using the drug)

Then, we can calculate P(B) as:

P(B) = P(B | A) * P(A) + P(B | not A) * P(not A)

= 0.88 * 0.05 + 0.04 * 0.95

= 0.076

Finally, we can calculate P(A | B) as:

P(A | B) = P(B | A) * \(\frac{P(A) }{ P(B)}\)

= 0.88 * \(\frac{0.05 }{ 0.076}\)

= 0.5789

Therefore, the probability that the athlete has actually been using the prohibited drug given that they tested positive is approximately 0.5789 or 57.89%.

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Answer:

h(-5) = 34

Step-by-step explanation:

h(x) = -5x + 9

h(-5) = -5(-5) + 9 = 25 + 9 = 34

You can use the Pythagoras theorem to get the value of x.

The value of x is given by

Option C: x = 6.2

The Pythagoras theorem:

If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:

\(|AC|^2 = |AB|^2 + |BC|^2\)

Refer to the figure attached below.

The triangle BAD is right angled triangle (one angle is 90 degrees).

The length of CD is 13 - x units.

Thus, we have:

\(|AD|^2 + |DB|^2= |AB|^2\\\\Length(AD)= \sqrt{169-81} = \sqrt{88} = 2\sqrt{22}\)

For triangle ACD, we have:

\(|AC|^2 +|CD|^2 = |AD|^2\\|AC| = \sqrt{(2\sqrt{22})^2 - (13-x)^2} = \sqrt{-81 -x^2 - 26x}\\\)

For triangle ACB, we have;

\(|AB|^2 = |AC|^2 + |CB|^2\\81 = (-81-x^2 +26x) + x^2\\\\x = \dfrac{162}{26} = \dfrac{81}{13} \rm \: units \approx 6.2 \: \rm units\)

Thus,

The value of x is given by

Option C: x = 6.2

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Answer:

depends on the car

Step-by-step explanation:

Answer:

It depends on how many sits the car have

Step-by-step explanation:

Answer:

x=3

Step-by-step explanation:

f(x)=2x+6

f(x)=12

Hence:

2x+6=12

2x+6-6=12-6

2x=6

x=6/2

x=3

Answer: Below

Step-by-step explanation:

24% is basically 0.24. Since we want to find the original price we make the equation:

x * (1 - 0.24) = 665

For x is the original price. Simplify:

x * (0.76) = 665

x = 665/0.76

x = 875

Our answer is 875

Answer:

sagutan mo yan module mo yan wag kang umasa sa brainly

Answer:

11.25 miles

Step-by-step explanation:

To figure out how many miles John will travel in 1/2 an hour, we can use the following formula:

distance = rate x time

We know the rate, which is the number of miles John can travel per hour. We can find this by dividing the total distance by the total time:

rate = distance / time

rate = 45 miles / 2 hours

rate = 22.5 miles per hour

Now we can use this rate and the given time of 1/2 an hour to find the distance:

distance = rate x time

distance = 22.5 miles per hour x 1/2 hour

distance = 11.25 miles

Therefore, John will travel 11.25 miles in 1/2 an hour at this rate.

The dominant term in the solution y(x) of the initial value problem for x → ∞ is e^(2x).

The solution of the given initial value problem

y′′-4y′+5y=2ex−sin(x);

y(0)=1, y′(0)=−1 using Laplace Transform method is shown below:

Firstly, we will take the Laplace transform of both sides of the equation.

Then, by applying the property of Laplace Transform of the second derivative, we get:

{y′′} = s^2 Y(s) – s y(0) – y′(0)

{y′} = s Y(s) – y(0)

{y} = Y(s)

∴ LHS = s^2 Y(s) – s y(0) – y′(0) – 4 [s Y(s) – y(0)] + 5 Y(s)

           = (s^2 – 4s + 5) Y(s) – s y(0) + 4 y(0) + 2 {L{e^x}} – {L{sin(x)}}

           = Y(s) {L{e^x}}

           = ∫(0 to infinity) e^(-st) e^x dx

           = ∫(0 to infinity) e^(x-st) dx

           = 1/(s-1) {L{sin(x)}}

           = ∫(0 to infinity) e^(-st) sin(x) dx

           = ∫(0 to infinity) (1/2i) [e^(-ist) - e^(ist)] dx

           = 1/(s^2 + 1)

Putting all the values in the equation and solving for Y(s), we get:

Y(s) = [2(s-1)+s+3] / [(s-1)(s^2 + 1)(s-2)]

      = (A/(s-1)) + (Bs + C)/(s^2 + 1) + (D/(s-2))

On solving the above partial fractions, we get:

A = 1, B = -1/2, C = 1/2, D = 1

By taking the inverse Laplace transform of Y(s), we get the solution:

y(x) = e^x - (1/2)sin(x) + (1/2)cos(x) + e^(2x)

By observing the solution of the initial value problem

y′′-4y′+5y=2ex−sin(x);

y(0)=1, y′(0)=−1 for x → ∞,

we find that the term e^(2x) is the dominant term in the solution.

Hence, as x → ∞, y(x) → ∞.

Thus, the solution y(x) grows exponentially when x increases indefinitely.

Therefore, the dominant term in the solution y(x) of the initial value problem for x → ∞ is e^(2x).

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The correct option is B. a fixed rate for each item produced or action performed.

A piece rate employee is paid a set amount for each item produced or action performed.

Employees paid on the a piece rate or piecework reason are typically paid per task completed or the number of units produced. Here are a few examples of piece-rate contracts:

Pay rate during nonproductive work hours

Some companies may be forbidden by state law from paying employees on a piece-rate basis. In California, for example, employers are generally prohibited from paying labourers on a piece-rate basis.

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Step-by-step explanation:

use Pythagoras theorem:

x distance = 8 - 2 = 6units

y distance = 11 - 3 = 8units

c^2 = a^2 + b^2

c^2 = 6^2+ 8^2

c^2 = 36 + 64 = 100

c = 10

radius = 10÷ 2 = 5

area = pi × r^2

= pi × 5^2

= 25 pi

Answer: A translation 5 units to the left... brainliest?

Step-by-step explanation: edge 2020

Answer:

total money - total expences = profit

Total money is the money you make, so say you made $50

Total expences is how much you paid to have that thing made, say $10

50 - 10 = 40

the profit would then be $40

The margin of error, using a 95% confidence interval, for estimating the true population proportion for home delivery truck drivers is approximately 0.0897.

The margin of error is a measure of the uncertainty in the estimate of a population parameter based on a sample. In this case, we are estimating the true population proportion for home delivery truck drivers.

To calculate the margin of error using a 95% confidence interval, we need to know the sample size and the sample proportion.

Step 1: Determine the sample size. The larger the sample size, the smaller the margin of error.

Step 2: Calculate the sample proportion. This is the proportion of the sample that possesses the characteristic of interest (in this case, being a home delivery truck driver).

Step 3: Use the formula for margin of error:

Margin of Error = Z * sqrt((p * (1-p))/n)

where Z is the z-score associated with the desired confidence level (in this case, 95% confidence level), p is the sample proportion, and n is the sample size.

Step 4: Look up the appropriate z-score for a 95% confidence level. The z-score for a 95% confidence level is approximately 1.96.

Step 5: Plug in the values into the formula and calculate the margin of error.

For example, if the sample size is 100 and the sample proportion is 0.70, the margin of error would be:

Margin of Error = 1.96 * sqrt((0.70 * (1-0.70))/100)
= 1.96 * sqrt((0.70 * 0.30)/100)
= 1.96 * sqrt(0.21/100)
= 1.96 * sqrt(0.0021)
= 1.96 * 0.0458

= 0.0897 (rounded to 4 decimal places)

So, the margin of error, using a 95% confidence interval, for estimating the true population proportion for home delivery truck drivers is approximately 0.0897.

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Answer:

A = 5

Step-by-step explanation:

Add 13 to each side of the expression :

Step-by-step explanation:

A 13+13 equal to -8+13

A 13-8

A 5

The length of the protein molecule, in meters, is 208 × 10⁻⁹m.

To find the length of the protein molecule:

Diameter of hydrogen atom = 104 × 10⁻¹⁰m

We are given that A protein molecule has an overall length of 2000 times (or 2 cross times 10 cubed times) the diameter of a hydrogen atom.

Therefore, the length of the protein molecule, in meters, is 208 × 10⁻⁹m.

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The correct question is given below:

The diameter of a hydrogen atom is about 1.04 cross times 10 to the power of negative 10 end exponent meters. A protein molecule has an overall length of 2000 times (or 2 cross times 10 cubed times) the diameter of a hydrogen atom. What is the length of the protein molecule, in meters, if it were written in scientific notation?

These measurements are not identical due to confounding;

When the effects of two or more explanatory variables on a response variable cannot be distinguished from one another, confounding occurs in an experiment.

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Answer:

A Analía sí le alcanzó el dinero pues aún tenía $224 de los $2000 que llevó.  

Analía gastó en total $1776. Si llevó $2000, entonces aún tenía:

\( \\ \$2000 - \$1776 = \$224\)

Step-by-step explanation:

Para resolver el problema se deben obtener los subtotales de cada una de las transacciones en los que Analía gastó el dinero:

Primera transacción: compra de 12 camisas

Compró 12 camisas a $21 cada una. El monto por esta transacción es:

\( \\ \frac{\$21}{camisa} * 12\;camisas = \$252\)

Primera transacción: T1 = $252.

Segunda transacción: compra de 24 remeras

Compró 24 remeras a $11 cada una:

\( \\ \frac{\$11}{remera}*24\;remeras = \$264\)

Segunda transacción: T2 = $264.

Tercera transacción: compra de 40 polleras

Compró 40 polleras a $56 cada una:

\( \\ \frac{\$56}{pollera}*40\;polleras = \$2240\)

Tercera transacción: T3 = $2240.

Cuarta transacción: devolución de pantalones y descuento

Devolvió 20 pantalones (y se lo descontaron de lo que tenía que pagar). El costo de cada pantalón es de $51 cada uno:

\( \\ \frac{\$51}{pantalon}*20\;pantalones = \$1020\)

Cuarta transacción: T4 = $1020.

Quinta transacción: pago de ida y vuelta en transporte

Finalmente, el taxi para ir y volver del negocio le costó $40.

Quinta transacción: T5 = $40.

¿Cuánto gastó en total Analía?

A todo lo que Analía gastó, le debemos restar lo obtenido en el descuento por la devolución de pantalones (Cuarta transacción). Este último dinero corresponde a una transacción a favor de Analía, por lo que se resta a lo que ella ha gastado. De esta manera:

\( \\ Total = T1 + T2 + T3 - T4 + T5\)

\( \\ Total = \$252 + \$264 + \$2240 - \$1020 + \$40\)

Para hacer más notorio el total de lo que gastó y lo que le descontaron a su favor, tenemos:

\( \\ Total = \$252 + \$264 + \$2240 + \$40 - \$1020\)

\( \\ Total = \$2796 - \$1020\)

\( \\ Total = \$1776\)

Entonces, Analía gastó en total $1776. Si llevó $2000, entonces aún tenía:

\( \\ \$2000 - \$1776 = \$224\)

En conclusión, a Analía sí le alcanzó el dinero pues aún tenía $224 de los $2000 que llevó.

Answer:

n = 360/c

Step-by-step explanation:

c = 360/n

cn = 360

n = 360/c

The coefficient of variation for SAT scores at this school is 11.21%. This means that the standard deviation of the SAT scores is about 11.21% of the mean score.

The coefficient of variation (CV) is a measure of relative variability, defined as the ratio of the standard deviation to the mean of a dataset. It is expressed as a percentage and provides a way to compare the variability of datasets with different means.

To calculate the CV for SAT scores at this particular college, we first need to calculate the standard deviation of the dataset. We are given that the average SAT score for incoming freshmen is 535 with a standard deviation of 60. Therefore, the standard deviation (s) is 60.

Next, we need to calculate the mean of the dataset. We are given that the mean (μ) is 535.

The coefficient of variation is then given by:

CV = (s / μ) x 100%

Substituting the values, we get:CV = (60 / 535) x 100%

= 0.1121 x 100%

= 11.21%

Therefore, the coefficient of variation for SAT scores at this school is 11.21%. This means that the standard deviation of the SAT scores is about 11.21% of the mean score. This information can be useful in comparing the variability of SAT scores between different colleges, even if their mean scores are different.

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The coefficient of variation for SAT scores at this school is approximately 11.21%.

The coefficient of variation for SAT scores at this school can be calculated using the following formula:

Coefficient of Variation = (Standard Deviation / Mean) x 100

Given the average math SAT score for incoming freshmen at this particular college is 535 and the standard deviation is

60, we can plug these values into the formula:

Coefficient of Variation = (60 / 535) x 100

Now, let's perform the calculations:

Coefficient of Variation ≈ 11.21 %

So, the coefficient of variation for SAT scores at this school is approximately 11.21%.

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The objective function formula that is nonlinear is - 2xy/2xy + z

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

- 2xy/2xy + z

- x + y + z

- 3x - 2y + z

A linear function is a function that has a degree of 1

Other functions with other degrees are nonlinear

Using the above as a guide, we have the following functions with a degree of 1

- x + y + z

- 3x - 2y + z

Hence, the objective function formulas that is nonlinear is - 2xy/2xy + z

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Answer:

Pentagon

Step-by-step explanation:

im not sure if i am correct. i did some research but it said all of them could be concidered a rectangle so i guessed