Teresa mixes fertilizer with water when feeding her plants. She uses 2/3 tbsp of fertilizer for every 5/6 gal of water. How can Teresa determine the number of tablespoons of fertilizer she needs to use with 5 gal of water? Choose one option from each drop-down menu to answer the question. To find the unit rate for the number of tablespoons of fertilizer for each gallon of water, Teresa can choose... The unit rate is Choose... Next Teresa should Choose... to determine that she needs Choose... tablespoon(s) of fertilizer.

the answer is 4/5 this is know to be hard

We can see here that the data set approximately periodic. The period and amplitude is: Periodic with a period of 4 and an amplitude of about 30.

The size or magnitude of a wave or vibration is measured by its amplitude in physics. It describes the greatest deviation of a wave from its equilibrium or rest state, or the greatest intensity of an electromagnetic or sound wave.

When referring to waves, amplitude is commonly calculated as the distance between a wave's peak or trough and its resting position.

We can deduce that the values are being repeated at regular interval of four (4).

For the amplitude:

\(Amplitude: \frac{140 - 74}{2}\)

Amplitude = 33 ≈ 30.

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Mean ≈ 0.874

Median ≈ 0.877

Maximum = 0.933

Minimum = 0.83

Mode = None

To find the mean, median, maximum, minimum, and mode of the given numbers:

Mean: The mean is the average of a set of numbers.

To calculate the mean, add up all the numbers and divide the sum by the total count.

Mean = (0.834 + 0.861 + 0.927 + 0.877 + 0.831 + 0.925 + 0.912 + 0.83 + 0.849 + 0.933 + 0.884) / 11

Mean ≈ 0.874

Median: The median is the middle value when the numbers are arranged in ascending or descending order.

Since there are 11 numbers, the median would be the 6th number when arranged in order.

Arranging the numbers in ascending order:

0.83, 0.831, 0.834, 0.849, 0.861, 0.877, 0.884, 0.912, 0.925, 0.927, 0.933

Median ≈ 0.877

Maximum: The maximum is the largest value among the given numbers.

Maximum = 0.933

Minimum: The minimum is the smallest value among the given numbers.

Minimum = 0.83

Mode: The mode is the value(s) that appear most frequently in the given numbers.

If there is no value that appears more than once, there is no mode.

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The true statements are: The center of the circle lies on the x-axis, The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9, The standard form of the equation is (x - 1)² + y² = 3.

To determine which statements are true, we can first rewrite the equation of the circle in standard form:

x^2 + y^2 - 2x - 8 = 0

x^2 - 2x + y^2 = 8

(x - 1)^2 + y^2 = 9

From this form, we can see that:

The center of the circle is at (1, 0), which lies on the x-axis. Therefore, the statement "The center of the circle lies on the x-axis" is true.

The radius of the circle is sqrt(9) = 3 units. Therefore, the statement "The radius of the circle is 3 units" is false, and the statement "The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9" is true.

The standard form of the equation is (x - 1)² + y² = 3. Therefore, the statement "The standard form of the equation is (x – 1)² + y² = 3" is true.

So the three true statements are:

The center of the circle lies on the x-axis.

The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.

The standard form of the equation is (x - 1)² + y² = 3.

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Answer:

5x(squared)-4x+1

2x(squared)+11xy+14

7x(squared)+7xy+3x-17

Step-by-step explanation:

Answer:

\(54\)

Step-by-step explanation:

Formula for average A of two numbers m and n is:

\(A=\frac{m+n}{2}\)

Substitute the value m=36 and n=72

\(A=\frac{36+72}{2}\)

This is equivalent to:

\(A=\frac{108}{2}\)

The average is:

\(A=54\)

The equation has one solution.

A value of x that makes the equation true is -3, which when substituted into the equation will turn the equation into: 18 = 18.

A value of x that makes the equation false can be 4, which when substituted into the equation will turn the equation into: -24 = 18.

Given the equation, -6x = 18, the value of x that makes the solution true would be determined as shown below:

-6x/-6 = 18/-6

x = -3

Therefore, we can conclude the following:

A value of x that makes the equation true is -3, which when substituted into the equation will turn the equation into:

-6(-3) = 18

18 = 18.

A value of x that makes the equation false can be 4, which when substituted into the equation will turn the equation into:

-6(4) = 18

-24 = 18.

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Answer:

The equation has one solution.

A value of x that makes the equation true is -3, which when substituted into the equation and simplified makes the equation turn into 18=18.

A value of x that makes the equation false is 0, which when substituted into the equation and simplified makes the equation turn into 0=18.

Step-by-step explanation:

Hope this helped! :)

The percent decrease in total principal and interest paid between a 30-year term mortgage and a 15-year mortgage with a principal balance of $484,500.00 and a 6.5% APR is 31.0%. (Option A)

To calculate the  percent decrease, we can use the following formula.

Percent decrease = ( (30-year factor -   15-year factor) / 30-year factor) x 100

Substituting the values from the chart.  

= (($ 6.65 - $8.71) / $6.65) x 100

= ( -$ 2.06 / $6.65) * 100

= -0.309 *  100

Percent decrease ≈ - 30.9 %

Since the question asks for the percent decrease as a positive value, we take the absolute value of the result which is

Percent decrease ≈ 31%

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The total weight of the liquid in the tank is approximately 12,628 pounds.

To calculate the weight of the liquid, we need to determine the volume of the hemisphere and then multiply it by the density of the liquid. The formula for the volume of a hemisphere is V = (2/3)πr³, where r is the radius of the hemisphere.

In this case, the diameter of the tank is given as 24 feet, so the radius is half of that, which is 12 feet. Plugging this value into the formula, we get V = (2/3)π(12)³ ≈ 904.78 cubic feet.

Finally, we multiply the volume by the density of the liquid: 904.78 cubic feet * 92.5 pounds per cubic foot ≈ 12,628 pounds. Therefore, the total weight of the liquid in the tank is approximately 12,628 pounds.

In summary, to calculate the weight of the liquid in the tank, we first determine the volume of the hemisphere using the formula V = (2/3)πr³. Then, we multiply the volume by the density of the liquid.

By substituting the given diameter of 24 feet and using the appropriate conversions, we find that the total weight of the liquid is approximately 12,628 pounds.

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The present value of the annuity is approximately `7032.08. The correct answer is option (d) None of these.

To find the present value of an annuity, we can use the formula:

PV = PMT * (1 - (1 + r)^(-n)) / r

Where PV is the present value, PMT is the periodic payment, r is the interest rate per period, and n is the number of periods.

In this case, the periodic payment is `200, the interest rate is 5% (or 0.05) converted quarterly, and the number of periods is 10 years, which equals 40 quarters.

Plugging in these values into the formula, we get:

PV = 200 * (1 - (1 + 0.05)^(-40)) / 0.05

Simplifying the equation, we find:

PV ≈ 200 * (1 - 0.12198) / 0.05

PV ≈ 200 * 0.87802 / 0.05

PV ≈ 35160.4 / 0.05

PV ≈ 7032.08

Therefore, the present value of the annuity is approximately `7032.08.

None of the provided answer options (a), (b), or (c) match this result. The correct answer is (d) None of these.

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The amount of dry ingredients used in the cake recipe is approximately 7 cups.

We have,

3 ½ cups of flour, 2 ⅔ cups of sugar, and 1 ¾ cups of cocoa.

Now, first convert all quantity in same unit.

3 ½ cups of flour

= 3 cups + 0.5 cups

= 3 cups and 8 ounces.

and, 2 ⅔ cups of sugar

= 2 cups + 0.67 cups,

= 2 cups and 10.72 ounces.

and, 1 ¾ cups of cocoa

=1 cup + 0.75 cups

= 1 cup and 12 ounces.

So, the total amount

= 3 cups and 8 ounces + 2 cups and 10.72 ounces + 1 cup and 12 ounces = 6 cups and 14.72 ounces

= 7 cups

Therefore, the amount of dry ingredients used in the cake recipe is approximately 7 cups.

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Answer:

a) 263,158

b) $164,500

c) Ethical issues companies face when deciding to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...

Step-by-step explanation:

a)

Total cost = (0.25 + 0.02 + 0.03 + 0.15) x + 250,000

Total revenue = 1.40x

Setting the two equations equal to each other and solving for x, we get:

(0.45)x + 250,000 = 1.40x

0.95x = 250,000

x ≈ 263,158

b)

If the company sells 270,000 candy bars at $1.40 each, the total revenue generated is:

270,000 * $1.40 = $378,000

The total cost of producing 270,000 candy bars is:

(0.25 + 0.02 + 0.03 + 0.15) * 270,000 + $250,000 = $213,500

Therefore, the company's profit is:

$378,000 - $213,500 = $164,500

c)

Ethical issues companies face when presented with the decision to move operations: job loss for employees, poor working conditions and exploitation of workers, negative environmental impact,...

The transformation from the graph of f(x) = x to the graph of g(x) = (1/9)·x -2, is a rotation and a translation. The correct option is therefore;

The transformation are a rotation and a translation

A translation transformation is a transformation in which there is a displacement of all points on the preimage figure in a specified direction.

The transformation from f(x) = x to f(x) = (1/9)·x - 2, includes a slope reduction by a factor of (1/9), or rotating the graph of f(x) = x in the clockwise direction, and a translation of 2 units downwards, such that the y-intercept changes from 0 in the parent function, f(x) = x to -2 in the specified function f(x) = (1/9)·x - 2, therefore, the translation includes a rotation clockwise and a translation downwards by two units

The correct option is the second option; The transformation are a rotation and a translation

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The probability that the chosen photograph is landscape, given that it is by an amateur photographer, is 2/5 in its simplest form.

Probability is a measure of the likelihood or chance of an event occurring. It is expressed as a number between 0 and 1, where 0 represents an impossible event and 1 represents a certain event. A probability of 0.5 means that the event is equally likely to occur or not occur.

The formula for probability is: Probability of an event = Number of favorable outcomes / Total number of outcomes.

For example, if you flip a coin, the probability of getting heads is 0.5, as there are two equally likely outcomes (heads and tails). Similarly, if you roll a die, the probability of getting a 3 is 1/6, as there is only one favorable outcome out of six possible outcomes.

Probability is used in various fields, such as statistics, economics, finance, and insurance, to make predictions and analyze data. It can help in decision-making by providing an estimate of the likelihood of different outcomes.

To find the probability that the chosen photograph is landscape, given that it is by an amateur photographer, we need to use conditional probability.

Let A be the event that the chosen photograph is by an amateur photographer, and let B be the event that the chosen photograph is landscape. We want to find P(B|A), the probability that the chosen photograph is landscape given that it is by an amateur photographer.

Using the formula for conditional probability, we have:

P(B|A) = P(A and B) / P(A)

We can fill in the missing values in the table:

markdown

Copy code

                     Professional         Amateur            Total

Portrait                   4                         3                     7

Landscape             9                        2                     11

Total                       13                       5                     18

So the probability of choosing an amateur photograph is:

P(A) = 5/18

The probability of choosing an amateur landscape photograph is:

P(A and B) = 2/18

Therefore, the probability of choosing a landscape photograph given that it is by an amateur photographer is:

P(B|A) = (2/18) / (5/18) = 2/5

So the probability that the chosen photograph is landscape, given that it is by an amateur photographer, is 2/5 in its simplest form.

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Step-by-step explanation:

let the number be 'x'

x*-10+7=3x

-10x*7=3x

-3x=3x

Answer: f(x)=(2x−1)(3x−2)

Step-by-step explanation:

Answer:

Step-by-step explanation:

(2x−1)(3x−2)

Answer:

72 feet

Step-by-step explanation:

48*1.5 = 72 and its asking for the height of the ball after 1.5 seconds if its velocity is 48 feet per second

Answer: It is C

Step-by-step explanation:

The slop for Kitten A is 1/4 or 4

Kitten B has a slop of 2/6 or 3 so the answer is,

Answer:

y=-2x-2

Step-by-step explanation:

Since this line is supposed to be parallel it will have the same slope.

y=-2x+b

no plug in the (0,-2)

-2=b

y=-2x-2

Answer:

12y^2 BC 4*3= 12 and then all you have to do is add the variable and square it.

Step-by-step explanation:

Hope you have a good day

Answer:

12y²

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(a) 0.5, (b) f_Y(y) = 12y(1-y), (c) 9/128, (d) 7/36 - Probability calculations using joint density function.

(a) To find the Probability that the Turkish tobacco represents over a portion of the mix, we want to incorporate the joint thickness capability over the district where x > 0.5 and y < 1 - x. This gives:

P(X > 0.5) = ∫[0.5,1]∫[0,1-x] 24xy dy dx = 0.5

Consequently, the Probability that the Turkish tobacco represents over around 50% of the mix is 0.5.

(b) To find the negligible thickness capability for the extent of homegrown tobacco, we really want to incorporate the joint thickness capability over all potential upsides of Turkish tobacco:

f_Y(y) = ∫[0,1-y] 24xy dx = 12y(1-y) ; 0 < y < 1

Thusly, the peripheral thickness capability for the extent of homegrown tobacco is f_Y(y) = 12y(1-y).

(c) To find the Probability that the extent of Turkish tobacco is under 1/8 given that the mix contains 3/4 homegrown tobacco, we really want to utilize Bayes' standard:

P(X < 1/8 | Y = 3/4) = P(X < 1/8 ∩ Y = 3/4)/P(Y = 3/4)

We can find the numerator by coordinating the joint thickness capability over the district where x < 1/8 and y = 3/4:

∫[0,1/8] 24xy dx = 27/128

To find the denominator, we coordinate the joint thickness capability over all potential upsides of Turkish tobacco when y = 3/4:

∫[0,1/4] 24xy dx = 3

Thusly, the contingent Probability is:

P(X < 1/8 | Y = 3/4) = (27/128)/3 = 9/128

(d) To find the likelihood that the extent of homegrown tobacco is over two times the extent of the Turkish tobacco, we want to incorporate the joint thickness capability over the area where y > 2x and x + y < 1. This gives:

P(Y > 2X) = ∫[0,1/3]∫[2x,1-x] 24xy dy dx + ∫[1/3,1/2]∫[2x,1-x] 24xy dy dx

= 7/36

Accordingly, the likelihood that the extent of homegrown tobacco is over two times the extent of the Turkish tobacco is 7/36

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The complete question is:

A tobacco company produces blends of tobacco, with each blend containing various proportions of Turkish, domestic, and other tobaccos. The proportions of Turkish and domestic in a blend are random variables with joint density function (X = Turkish and Y = domestic) 24xy ;0< x, y < 1, x +y<1 fx.y(1,7) (2) ; otherwise (a) (1 point) Find the probability that in a given box the Turkish tobacco accounts for over half the blend. Page 2 (b) (1 point) Find the marginal density function for the proportion of the domestic tobacco. (c) (1 point) Find the probability that the proportion of Turkish tobacco is less than 1/8 if it is known that the blend contains 3/4 domestic tobacco. (d) (2 points) Find the probability that the proportion of domestic tobacco is more than twice the proportion of the Turkish tobacco.

Answer:

To find the percentage decrease, we need to find the difference between the original price and the new price, divide that difference by the original price, and then multiply by 100 to get the percentage.

The difference between the original price and the new price is:

80 - 44 = 36

To find the percentage decrease, we divide this difference by the original price:

36 / 80 = 0.45

Finally, we multiply by 100 to get the percentage:

0.45 * 100 = 45%

Therefore, the percentage decrease from $80 to $44 is 45%.

Answer:  The percentage decrease is 45%.

Step-by-step explanation:

Percentage decrease = \((\frac{Oringinal Value-NewValue}{Oringinal Value} )*100\)

                                    = \((\frac{80-44}{80} )*100\)

                                    = 45%

Answer:

ans= 12-x=r1 coin...

Step-by-step explanation:

hope u can do..

Answer:4.025

Step-by-step explanation:

3.500000×15/100=0.525

0.525+3.500000=4.025

Answer:

0.5y+2y

Step-by-step explanation:

bc you divide out the y

Answer:

39.60

Step-by-step explanation:

9.90 x 4 = 39.60

Answer:

B

Step-by-step explanation:

Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=x5+45 f - 1 ( x ) = x 5 + 4 5 is the inverse of f(x)=5x−4 f ( x ) = 5 x - 4 .

Answer:

B. \(-\frac{1}{5} x+\frac{4}{5}\)

Step-by-step explanation:

1. Rewrite the function as a linear equation:

y = -5x - 4

2. Swap x and y:

x = -5y - 4

3. Solve for y:

x+4 = -5y - 4+4

x + 4/-5 = -5y/-5

\(\frac{x+4}{-5}\) = y  can be rewritten as \(-\frac{1}{5} x+\frac{4}{5}\)

4. Write in inverse notation:

f(x) = \(-\frac{1}{5} x+\frac{4}{5}\)

Therefore, B is the answer.