name a combination of 12 coins that equals 3 dollars (has to be dimes & quarters)

The x-coordinate of the point that the line passes through is x = 0.

We can use the point-slope form of a linear equation to solve this problem.

The slope of the line can be found using the two given points:

slope  (change in y) / (change in x)

slope = (-3 - (-9)) / (12 - x)

slope = 6 / (x - 12)

Now we can use the point-slope form of the linear equation, with the y-intercept of 6:

y - 6 = slope * (x - 0)

Substituting the slope we just found:

y - 6 = (6 / (x - 12)) * x

Simplifying:

y - 6 = 6x / (x - 12)

Multiplying both sides by (x - 12):

y(x - 12) - 6(x - 12) = 6x

Distributing:

xy - 12y - 6x + 72 = 6x

Moving the x terms to one side:

xy - 12y - 12x + 72 = 0

Now we can substitute the y-coordinate of the other given point, (-9), and solve for x:

x(-9) - 12(6) - 12x + 72 = 0

Simplifying:

-9x - 72 - 12x + 72 = 0

-21x = 0

x = 0

Therefore, the x-coordinate of the point that the line passes through is x = 0.

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Answer:

I'm pretty sure it is (c)

Step-by-step explanation:

bc the angle is not read in the right order

Answer:

-a^12bc

Step-by-step explanation:

-a^3b^2c = -a^6bc

-a^6bc^2 = -a^12bc

The position of the object at time t = 3 is approximately 6.59 units from the origin.

The velocity of an object is defined as the rate of change of its position with respect to time. Mathematically, we can express this as:

v(t) = dx/dt

where v(t) is the velocity of the object at time t, and dx/dt is the derivative of the position function x(t) with respect to time.

In this problem, we are given the velocity function v(t) as:

v(t) = (1+t²)¹/₃

To find the position function x(t), we need to integrate the velocity function with respect to time. We can do this as follows:

x(t) = ∫v(t)dt

x(t) = ∫(1+t²)^(1/3) dt

To evaluate this integral, we can use the substitution u = 1 + t², which gives du/dt = 2t. Substituting this into the integral, we get:

x(t) = (3/2) * ∫u¹/₃ * (1/2u) du

x(t) = (3/2) * ∫u⁻¹/₆ du

x(t) = (3/2) * (u⁵/₆ / (5/6)) + C

where C is the constant of integration.

To find the value of C, we need to use the initial condition x(0) = 2. Substituting t = 0 into the position function, we get:

x(0) = (3/2) * (u⁵/₆ / (5/6)) + C

x(0) = (3/2) * (1⁵/₆ / (5/6)) + C

x(0) = 2

Therefore, C = 2 - (3/2) * (1⁵/₆ / (5/6)) = 2 - (3/2) * (1 / (5/6)) = 2 - (9/5) = 1.2

Substituting C = 1.2 into the position function, we get:

x(t) = (3/2) * (u⁵/₆ / (5/6)) + 1.2

x(t) = (3/2) * ((1+t²)⁵/₆ / (5/6)) + 1.2

Finally, to find the position of the object at time t = 3, we simply substitute t = 3 into the position function:

x(3) = (3/2) * ((1+3²)⁵/₆/ (5/6)) + 1.2

x(3) ≈ 6.59

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There are 2,136,857,230 equations to choose 13 coins from the piggy bank.

To solve this problem, we can use the combination formula, which tells us the number of ways to choose k items from a set of n items without regard to order. The formula is:

C(n, k) = n! / (k!(n-k)!)

where n is the total number of items in the set, k is the number of items we want to choose, and ! represents the factorial function (the product of all positive integers up to a given number).

In this case, we want to choose 13 coins from a set of 100 pennies and 80 nickels, so n = 100 + 80 = 180 and k = 13. We can plug these values into the formula and simplify:

C(180, 13) = 180! / (13!167!)
= (180 x 179 x 178 x ... x 168 x 167!) / (13 x 12 x ... x 2 x 1 x 167!)
= (180 x 179 x 178 x ... x 168) / (13 x 12 x ... x 2 x 1)
= 2,136,857,230

Therefore, there are 2,136,857,230 ways to choose 13 coins from the piggy bank. This means that there are a lot of different combinations that we could choose, but each combination will have exactly 13 coins in it. Some of these combinations might include more pennies than nickels, or vice versa, but we don't need to worry about that when using the combination formula.
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The supply of styluses is falling at a rate of 0.0144p² styluses per week.

To determine the exact rate of change in supply, we need to look at the equation provided: 500p²x² = 1996. We can rearrange this equation to solve for x, which represents the supply of styluses:

x² = (1996/500p²)

x = √(1996/500p²)

Now, we can differentiate this equation with respect to time to find the rate of change in supply:

dx/dt = (-1/2)(1996/500p²)(-1000p²/1996)*dp/dt

Simplifying this equation, we get:

dx/dt = (6/25)p²dp/dt

Using the information provided in each situation, we can plug in the appropriate values to find the rate of change in supply:

In the first situation, where the price is rising at 12 cents per week, dp/dt = 0.12. Plugging this into the equation above, we get:

dx/dt = (6/25)(p²)(0.12) = 0.0288p²

This means that the supply of styluses is rising at a rate of 0.0288p² styluses per week.

In the second situation, where the price is falling at 6 cents per week, dp/dt = -0.06. Plugging this into the equation above, we get:

dx/dt = (6/25)(p²)(-0.06) = -0.0144p²

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The test value to test linear correlation between the number of absences and the final grades is -0.729, which indicates a moderately strong negative correlation between the two variables.

Using the formula for the correlation coefficient, we can calculate the test value to test linear correlation as follows

First, we need to calculate the mean of x and y

mean(x) = (0+3+6+4+9+2+15+8+5)/9 = 6.22

mean(y) = (98+86+80+82+71+92+55+76+82)/9 = 79.67

Next, we need to calculate the deviations from the means:

deviations from mean of x: -6.22, -3.22, -0.22, -2.22, 2.78, -4.22, 8.78, 1.78, -1.22

deviations from mean of y: 18.33, 6.33, 0.33, 2.33, -8.67, 12.33, -24.67, -3.67, 2.33

Then, we need to calculate the product of deviations

product of deviations: (-6.22)(18.33), (-3.22)(6.33), (-0.22)(0.33), (-2.22)(2.33), (2.78)(-8.67), (-4.22)(12.33), (8.78)(-24.67), (1.78)(-3.67), (-1.22)(2.33)

Summing the products of deviations gives

Σ(xy) = -221.04

Next, we need to calculate the sum of squares of deviations

Σ(x²) = 325.56

Σ(y²) = 20334.67

Then, we can plug these values into the formula for the correlation coefficient

r = Σ(xy) / √(Σ(x²) Σ(y²)) = -221.04 / √(325.56 * 20334.67) ≈ -0.729

Therefore, the test value to test linear correlation is -0.729.

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--The given question is incomplete, the complete question is given below "the data below are the number of absences and the final grades of 9 randomly selected students from a statistics class. find the test value to test linear correlation.

Number of absences, x 0 3 6 4 9 2 15 8 5

Final grade, y 98 86 80 82 71 92 55 76 82 "--

Answer:

The acceleration is 160 m/s/s

Step-by-step explanation:

The unit m/s/s tells you that the car is accelerating at a rate of 160 m/s/s.

The answer is that 2.000 x 10^4 g is equal to 20 kg. To convert grams to kilograms using dimensional analysis, you need to set up a conversion factor of 1 kg / 1000 g and multiply it by the given quantity. This will cancel out the grams unit and leave you with the equivalent value in kilograms, which in this case is 20 kg.

To convert 2.000 x 10^4 g to kg using dimensional analysis, follow these steps:

⇒ Start with the given quantity: 2.000 x 10^4 g.

⇒ Set up a conversion factor using the relationship between grams (g) and kilograms (kg). Since there are 1000 grams in 1 kilogram, the conversion factor is:

1 kg / 1000 g.

⇒ Multiply the given quantity by the conversion factor. This will cancel out the grams unit and leave you with the equivalent value in kilograms:

(2.000 x 10^4 g) × (1 kg / 1000 g) = 2.000 x 10^4 kg / 1000.

⇒ Simplify the expression:

2.000 x 10^4 kg / 1000 = 20 kg.

Therefore, 2.000 x 10^4 g is equal to 20 kg.

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The number of pounds of candy that sells for $0.79 per lb that  must be mixed with candy that sells for $1.35 per lb to obtain 8 tons of a mixture that should sell for $335 per ton is 580 pounds

Take x as the number of pounds of candy that sells for $0.79 per lb, and y as the number of pounds of candy that sells for $1.35 per lb.

x + y = 8 (i.e total amount of candy to be mixed)

0.79x + 1.35y = 335 (desired selling price per ton)

solve for x

y = 8 - x

0.79x + 1.35(8 - x) = 335

0.79x + 10.8 - 1.35x = 335

-0.56x = 324.2

x = 579.64

Thus x ≈ 580 to the nearest pound

Hence, about 580 pounds of candy that sells for $0.79 per lb must be mixed with candy that sells for $1.35 per lb to obtain 8 tons of a mixture that should sell for $335 per ton.

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In quantitative research, data collection from the same respondents at 2 or more points (waves) in time is referring to "longitudinal."

A method for gathering and interpreting numerical data is known as quantitative research. It can be used to discover patterns and averages, to make predictions, to verify causal linkages, and to generalize results to larger groups.

Some features regarding quantitative research are-

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9514 1404 393

Answer:

   2/3x -1/4

Step-by-step explanation:

It might be easier to start off by multiplying the expression by 12.

  p = 5/6x-5/12x-1/3+1/4x+1/12  . . . . . . . we have named the expression "p"

  12p = 10x -5x -4 +3x +1 . . . . . . . . clear fractions

  12p = x(10 -5 +3) +(-4 +1) . . . . collect terms

  12p = 8x -3

Now, we can divide by 12 and reduce the fractions.

  p = 8/12x -3/12 = 2/3x -1/4

Use the drop-down menus to complete the solution to the equation cosine (start fraction pi over 2 end fraction minus x) = start fraction start root 3 end root over 2 end fraction for all possible values of x on the interval [0, 2pi].

Using trigonometric identities, the solution to the equation \(cos(\frac{\pi }{2}-x) = \frac{\sqrt{3} }{2}\) for all possible values of x on the interval [0, 2π].

What are trigonometric identities?

Trigonometric identities are equalities that involve trigonometric functions and are true for every value of the occurring variables for which both sides of the equality are defined.

\(cos(\frac{\pi }{2}-x) = \frac{\sqrt{3} }{2} \\\\cos(x)cos\frac{\pi }{2}+sin(x)sin \frac{\pi }{2} = \frac{\sqrt{3} }{2}\\\\cos(x)(0)+sin(x)(1) = \frac{\sqrt{3} }{2}\\\\sin(x) = \frac{\sqrt{3} }{2}\\\\x = \frac{\pi }{3}, \frac{2\pi }{3}\)

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Answer:

Step-by-step explanation:

System of a equation has no solution when both the lines are parallel.

In other words, if the equations of a system have equal slopes there will be no solution.

1). x + 4y = 23

   4y = -x + 23

   \(y=-\frac{1}{4}x+23\) ------(1)

   -3x = 12y + 1

   12y = 3x - 1

    \(y=\frac{1}{4}x-\frac{1}{12}\) -------(2)

Since, both the equations have different slopes, system will have at least one solution.

2). 2x + 4y = 22 -----(1)

    -x = 2y - 11

    -x - 2y = -11

    x + 2y = 11

    2x + 4y = 22 ------(2)

   Since, both the equations are same, there will be infinite number of solutions.

3). 2x + y = 15 ------(1)

    x = 15 - 2y

    x + 2y = 15 -----(2)

   Both the equations are different, therefore system of equations will have at least one solution.

4). 2x + y = 17 ------(1)

    -4x = 2y - 34

    -4x - 2y = -34

    2x + y = 17 -----(2)

   Both the equations are different, therefore, system of equations will have infinite solutions.

5). 3y = 10 - x

    x + 3y = 10

    2x + 6y = 20 -------(1)

    2x + 6y = 7 ---------(2)

    Since, both the lines are parallel (Same slopes), system will have no solution.

6). y = 13 - 2x ------(1)

   4x - y = -1

   -y = -4x - 1

   y = 1 + 4x --------(2)

   Since, both the equations are different, system of equations will have at least one solution.

If p > 5 is prime and p is divided by 10, then the remainders are 1, 3, 7, or 9

The given information, we know that p is a prime number greater than 5, and that p is divided by 10. This means that p must end in either 0 or 5. since those are the only digits that allow for a number to be divisible by 10.

However, we also know that p is prime, which means it cannot be divisible by any number other than 1 and itself. This rules out the possibility of p ending in 0. since any number ending in 0 is divisible by 10 (and therefore not prime).

Therefore, p must end in 5. This means that p can be written in the form:

p = 10n + 5

where n is some integer. Now, let's consider what happens when we divide p by 10:

p/10 = (10n + 5)/10 = n + 0.5

Since p/10 is not an integer (it has a decimal component of 0.5), we know that p cannot be evenly divided by 10. Therefore, when p is divided by 10, there must be a remainder.

To determine what possible remainders there could be, we can look at the possible values for the last digit of p. Since p ends in 5, the last digit can only be 1, 3, 7, or 9 (since these are the only digits that, when multiplied by 5 and added to 10n, result in a number ending in 5).

Therefore, if p > 5 is prime and p is divided by 10, the remainder must be either 1, 3, 7, or 9.

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Answer:

In solid matter the particles jiggle but generally do not move from place to place

In a lumped parameter analysis, the temperature profile with time is typically represented by an exponential curve, option a

1. Lumped parameter analysis: This analysis assumes that the system being studied can be represented by a single node or point with uniform properties. It simplifies the problem by neglecting spatial temperature variations within the system.

2. Temperature profile: The temperature profile refers to how the temperature changes within the system over time.

3. Exponential curve: In many cases, the temperature profile in a lumped parameter analysis follows an exponential curve. This curve represents an exponential decay or growth of temperature over time. The rate of change of temperature decreases exponentially as time progresses.

4. Reasoning: The exponential curve is commonly observed in situations involving heat transfer, such as the cooling or heating of objects. It occurs due to the exponential relationship between the temperature difference and the rate of heat transfer. As the temperature difference decreases, the rate of heat transfer decreases, resulting in a gradual approach to equilibrium.

Therefore, the correct answer is (a) Exponential.

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Answer:

divided by 2.3 plzz fastdivided by 2.3 plzz fast

divided by 2.3 plzz fast

Step-by-step explanation:

divided by 2.3 plzz fast

divided by 2.3 plzz fast

divided by 2.3 plzz fast

divided by 2.3 plzz fastdivided by 2.3 plzz fast

Step-by-step explanation:

area of a rectangle = length x breath

2i) A= lxb

=7.5×2.5 = 18.75 m

2ii) 350cm= 3.5m

120cm = 1.2m

A= lx b

=3.5x1.2

=4.2m

(I think)

Answer:

Answer is: (9)

Step-by-step explanation:

105+(8v+3)=180

(8v+3)=75

8v=72

v=9

Answer:

Equation 1: x+y=15

Equation 2: 5x+4y=66

Step-by-step explanation:

Let x be the number of rose bushes and y be the number of geranium plants then:

Number of Rose Bushes + Number of Geranium Plants = Total Number of Plants

This is the first equation. We can rewrite it using variables and a value given in the question:

x+y=15 (States that she spends $66 on 15 plants)

The second equation would be:

5(Number of Rose Bushes)+4(Number of Geranium Plants) = Total Cost of Plants

Note we are multiplying by 4 or 5 because one Rose Bush/Geranium Plant costs $4 or $5.

We can again rewrite the equation using variables and a given value from the question:

5x+4y=66 ("She spends $66")

Therefore...

Equation 1: x+y=15

Equation 2: 5x+4y=66

Answer:

11

Step-by-step explanation:

let the consecutive integers be

n, n + 1, n + 2, n + 3 , then

n + n + 1 + n + 2 + n + 3 = 38 , that is

4n + 6 = 38 ( subtract 6 from both sides )

4n = 32 ( divide both sides by 4 )

n = 8

n + 1 = 8 + 1 = 9

n + 2 = 8 + 2 = 10

n + 3 = 8 + 3 = 11

The greatest of the integers is 11

The primary eight candles or oil lamps must be on a plane that is higher or lower than the shamash.

A nine-branched candelabrum known as a Hanukkah menorah, also known as a hanukkiah, is lighted during the eight-day Jewish festival of Hanukkah. Eight of the nine branches are held up by lights (candles or oil lamps), which stand throughout the eight nights of the festival. One additional light is lighted each night until all eight branches are illuminated on the last night. The candle on the ninth branch, known as the shamash (Arabic for "helper" or "servant"), is used to light the other eight branches.

The seven-branched menorah used in the first Temple in Jerusalem is commemorated by the Hanukkah menorah, which is separate from it. It's one of the most commonly manufactured pieces of Jewish ritual art, along with the Star of David and the menorah with seven branches.

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Answer:

44

Step-by-step explanation:

Answer:

$44

Step-by-step explanation:

20% changes to 0.2

$55 x 0.2 = $11 ---> this is the sales discount

$55 - $11 = $44 ---> sale price

The mean absolute deviation (MAD) for the given set of data is 4.83 contacts.

The mean absolute deviation (MAD) for this set of data is 4.83 contacts. MAD is a measure of how much the data values deviate from the mean on average. It provides information about the variability or dispersion of the data set. In this case, the mean of the data set is calculated by summing up all the values and dividing by the number of values. The absolute deviation for each value is obtained by subtracting the mean from each individual value and taking the absolute value to eliminate any negative signs. These absolute deviations are then averaged to find the MAD.

MAD is a measure of how spread out the data values are from the mean. To calculate the MAD, we first find the mean of the data set, which is the sum of all the values divided by the number of values (68 + 72 + 77 + 64 + 69 + 76) / 6 = 426 / 6 = 71. Next, we find the absolute deviation for each value by subtracting the mean from each individual value and taking the absolute value. The absolute deviations for each value are: 68 - 71 = 3, 72 - 71 = 1, 77 - 71 = 6, 64 - 71 = 7, 69 - 71 = 2, and 76 - 71 = 5. Then, we calculate the mean of these absolute deviations, which is (3 + 1 + 6 + 7 + 2 + 5) / 6 = 24 / 6 = 4. Finally, the MAD is 4.83, rounded to two decimal places.

In simpler terms, the MAD of 4.83 means that, on average, each person's number of contacts deviates from the mean by approximately 4.83 contacts. This indicates that the number of contacts stored in the cell phones of these six individuals is relatively close together, with relatively small variations from the mean value.

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The number of additional gifts Jeff can buy with the remaining cost is 1.

Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,

As per the given,

Total cost = $15 + $20 = $35

Total spent = $50

Remaining = $50 - $35 = $15

Since one gift cost $10

Thus, 15/10 = 1.5 since the number of gifts will be the whole number so it will be round to bottom 1 gift.

Hence "With the money still available, Jeff can purchase 1 more present".

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The answers are: (a) The function f is not continuous at x = 3.

(b) The function f is not differentiable at x = 3.

To determine the continuity of the function f at x = 3, we need to check if the left-hand limit and the right-hand limit exist and are equal at x = 3.

(a) To find the left-hand limit:

lim(x → 3-) f(x) = lim(x → 3-) x^2 = 3^2 = 9

(b) To find the right-hand limit:

lim(x → 3+) f(x) = lim(x → 3+) (3x - 2) = 3(3) - 2 = 7

Since the left-hand limit (9) is not equal to the right-hand limit (7), the function f is not continuous at x = 3.

To determine the differentiability of the function f at x = 3, we need to check if the left-hand derivative and the right-hand derivative exist and are equal at x = 3.

(a) To find the left-hand derivative:

f'(x) = 2x for x < 3

lim(x → 3-) f'(x) = lim(x → 3-) 2x = 2(3) = 6

(b) To find the right-hand derivative:

f'(x) = 3 for x > 3

lim(x → 3+) f'(x) = lim(x → 3+) 3 = 3

Since the left-hand derivative (6) is not equal to the right-hand derivative (3), the function f is not differentiable at x = 3.

Therefore, the answers are:

(a) The function f is not continuous at x = 3.

(b) The function f is not differentiable at x = 3.

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Step-by-step explanation:

since there is no graph it's a bit hard to answer this question, but I'll try. I can help solve the equation that represents the ratio of the two numbers:

(x + 1/2)/y = 1/3

This can be simplified to:

x + 1/2 = y/3

To graph this equation, you would need to plot points that satisfy the equation. One way to do this is to choose a value for y and solve for x. For example, if y = 6, then:

x + 1/2 = 6/3

x + 1/2 = 2

x = 2 - 1/2

x = 3/2

So one point on the graph would be (3/2, 6). You can choose different values for y and solve for x to get more points to plot on the graph. Once you have several points, you can connect them with a line to show the relationship between x and y.

(Like I said, it was a bit hard to answer this question, so I'm not 100℅ sure this is the correct answer, but if it is then I hoped it helped.)

Answer:

20 Problem Çözer

Step-by-step explanation:

60 ile 3'ü bölüyoruz. Ve Cevap 20 Çıkıyor.