Which relation(s) is/are not a function?

A (-4, 6), (0, 6), (7, 6), (4, 6), (-3, 6)
B (6,-4), (6, 0), (6, 7), (6, 4), (6, -3)
C (4, 1), (8, 2), (12, 3), (16, 4), (20, 4)
D (1, 4), (2, 8), (3, 12), (4, 16), (4, 20)

The depth of the water in the cone-shaped tank is increasing at a rate of approximately 1.385 meters per second.

To determine the rate at which the depth of the water is changing, we can use related rates. Let's denote the depth of the water as h(t), where t represents time. We are given that dh/dt (the rate of change of h with respect to time) is 12 m/sec, and we want to find dh/dt when h = 18 meters.

To solve this problem, we can use the volume formula for a cone, which is V = (1/3)πr^2h, where r is the base radius and h is the depth of the water. We can differentiate this equation with respect to time t, keeping in mind that r is a constant (since the base radius does not change).

By differentiating the volume formula with respect to t, we get dV/dt = (1/3)πr^2(dh/dt). Now we can substitute the given values: dV/dt = 12 m/sec, r = 26 meters, and h = 18 meters.

Solving for dh/dt, we have (1/3)π(26^2) (dh/dt) = 12 m/sec. Rearranging this equation and solving for dh/dt, we find that dh/dt is approximately 1.385 meters per second. Therefore, the depth of the water in the tank is increasing at a rate of about 1.385 meters per second.

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The profit for one small cake is approximately £0.3564.

To find the profit for one small cake, let's assign variables to represent the profits. Let's call the profit for one small cake "P_s," the profit for one medium cake "P_m," and the profit for one large cake "P_l."

Given information:

The ratio of small to medium to large cakes sold is 9:5:12.

The profit for one medium cake is three times the profit for one small cake.

The profit for one large cake is four times the profit for one small cake.

The total profit is £815.76.

We can set up equations based on the given information:

P_m = 3P_s (Profit for one medium cake is three times the profit for one small cake)

P_l = 4P_s (Profit for one large cake is four times the profit for one small cake)

Total profit = 286P_s + 286P_m + 286P_l = £815.76 (Total profit is the sum of profits for each cake sold)

Since we know the ratio of small, medium, and large cakes sold, we can express the number of each cake sold in terms of the ratio:

Let's assume the common ratio is "x," so we have:

Small cakes sold = 9x

Medium cakes sold = 5x

Large cakes sold = 12x

Now we can substitute these values into the total profit equation:

286P_s + 286P_m + 286P_l = £815.76

Substituting P_m = 3P_s and P_l = 4P_s:

286P_s + 286(3P_s) + 286(4P_s) = £815.76

Simplifying:

286P_s + 858P_s + 1144P_s = £815.76

2288P_s = £815.76

Dividing both sides by 2288:

P_s = £815.76 / 2288

P_s ≈ £0.3564

Therefore, the profit for one small cake is approximately £0.3564.

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Answer:

oi and you might get 50 points

Answer:

Thank you!

Step-by-step explanation:

You are making my day! BTW it is 25 points.

Answer:

16

Step-by-step explanation:

Answer:

y = x+4

Step-by-step explanation:

Using the y=mx+b format, we can define the slope as 1...

1) y=1x+b or y=x+b

The y-intercept ( aka b )

2) y=x+4

Answer provided by Education Point

Answer:

\(\text{y = x + 4}\)

Step-by-step explanation:

\(\text{Slope intercept form:}\) \(\text{y = (m)x + (b)}\)                  \(\text{[m = Slope; b = y-intercept]}\)

To find the equation of the line, substitute the slope and the y-intercept in the slope intercept form formula.

\(\rightarrow \text{y = (m)x + (b)}\)

\(\rightarrow \text{y = (1)x + (4)}\)                                                            \(\text{[m = 1; b = 4]}\)

\(\rightarrow\boxed{\bold{\text{y = x + 4}}}\)

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a. mean=3.55, variance=1.7025, standard deviation=1.3036

b. The typical rating deviates from the mean by about 1.3, and the average rating for the book is approximately 3.55.

(a) To find the mean, variance, and standard deviation of the probability distribution from the given histogram, use the following steps:

Find the midpoint of each class interval.

Draw the histogram.

Count the number of data points.

Add the products of the midpoint and frequency.

Divide by the total number of data points to get the mean.

Find the sum of the squared deviations from the mean. Divide the result by the total number of data points to get the variance.

Take the square root of the variance to get the standard deviation.

The histogram shows the following frequency distribution for the reviewer ratings on a scale from 1 to 5:

Class Interval (xi) | Midpoint (xi) | Frequency (fi) | xi * fi

1 - 1.5 | 1.25 | 0.5 | 0.625

1.5 - 2.5 | 2 | 1.5 | 3

2.5 - 3.5 | 3.25 | 1.5 | 4.875

3.5 - 4.5 | 4.75 | 2.5 | 11.875

4.5 - 5 | 5.25 | 4.5 | 23.625

Total | | 10 | 44

Mean = (1 × 0.5 + 2 × 1.5 + 3 × 2 + 4 × 2.5 + 5 × 4.5) ÷ 10 = 3.55

Variance = [(1 - 3.55)² × 0.5 + (2 - 3.55)² × 1.5 + (3 - 3.55)² × 2 + (4 - 3.55)² × 2.5 + (5 - 3.55)² × 4.5] ÷ 10 = 1.7025

Standard deviation = √1.7025 = 1.3036

(b) Interpretation of results:

The typical rating deviates from the mean by about 1.3.

The average rating for the book is approximately 3.55.

Answer: The mean is 3.55. The variance is 1.70. The standard deviation is 1.30. The typical rating deviates from the mean by about 1.3, and the average rating for the book is approximately 3.55.

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Answer:

there is only one way to to roll a 3

1/36 = .044 = 4.4%

Step-by-step explanation:

We can substitute Pr(ANB) in the above equation and solve for the value of Pr(ANB).Pr(A) + Pr(B) = 0.41Pr(A) + Pr(B) + 2Pr(ANB) = 0.41 + 2(0.37) = 0.15Pr(ANB) = (0.41 + 0.15)/2Pr(ANB) = 0.28Hence, the value of Pr(ANB) is 0.28.

Given:Pr(AUB)

= 0.27,Pr(ANB)

= 0.14andPr(ANB)

= 0.37Formula used: Pr(AUB)

= Pr(A) + Pr(B) - Pr(ANB):Let A and B be two events such that Pr(AUB)

= 0.27, Pr(ANB)

= 0.14 and Pr(ANB)

=0.37. We know that the sum of the probabilities of the events A and B is given by the equation Pr(AUB)

= Pr(A) + Pr(B) - Pr(ANB). Using this formula, we can find the value of Pr(ANB) as follows:Pr(AUB)

= Pr(A) + Pr(B) - Pr(ANB)0.27

= Pr(A) + Pr(B) - 0.14 (Given)0.27 + 0.14

= Pr(A) + Pr(B)0.41

= Pr(A) + Pr(B)We also know that Pr(ANB)

= 0.37 (Given).We can substitute Pr(ANB) in the above equation and solve for the value of Pr(ANB).Pr(A) + Pr(B)

= 0.41Pr(A) + Pr(B) + 2Pr(ANB)

= 0.41 + 2(0.37)

= 0.15Pr(ANB)

= (0.41 + 0.15)/2Pr(ANB)

= 0.28Hence, the value of Pr(ANB) is 0.28.

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Depending on how many shots you add, a single mixed drink can be equivalent to more than one or two regular drinks. Keep in mind that a 1.25 oz. shot is equivalent to one normal drink.

What is a standard drink?

Approximately 14 grams of pure alcohol are present in one "normal" drink in the United States (or one alcoholic drink's equivalent).

                           This amount can be found in: 12 ounces of standard beer, which typically contains 5% alcohol. 12% alcohol in 5 ounces of wine is the normal amount. Approximately 40% alcohol is present in 1.5 ounces of distilled spirits.

What makes it a regular drink?

The amount of pure alcohol in various alcoholic beverages varies. Any alcoholic beverage with 10 grams of pure alcohol is referred to as a STANDARD DRINK. There are varying percentages of pure alcohol in various alcoholic beverages.

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The measure of the angle 4 and angle 6 is 84 degrees and the measure of angle 5 and angle 7 is 96 degrees.

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The limit of the value \(\lim_{x \to 9} \frac{x^2 - 81 }{x - 9} = 18.\)

According to the L'Hospital rule, the limit of an indeterminate form can be determined by dividing the limit of the numerator's derivative by the denominator's derivative.

A general technique for assessing indeterminate forms like 0/0 or / is the L'Hospital rule. L'Hospital's rule is applied to calculate the limits of indeterminate forms for calculus derivatives. It is possible to use the L Hospital rule many times. This rule is still valid after being applied, and it will take any indefinite form. L'Hospital's Rule cannot be applied if the issue is not of the indeterminate types.

The limit given is:

\(\lim_{x \to 9} \frac{x^2 - 81 }{x - 9}\)

Substituting the value of 9 in x we se that the limit is of the form 0/0 thus it is in indeterminate form.

Using the L'Hospitals rule we have:

\(\lim_{x \to 9} \frac{d}{dx} [\frac{x^2 - 81 }{x - 9}] \\\\\lim_{x \to 9} \frac{2x }{1}\)

Substituting the value of limit in x we have:

2(9) / 1 = 18

Hence, the limit of the value  \(\lim_{x \to 9} \frac{x^2 - 81 }{x - 9} = 18.\)

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Answer:

y = - \(\frac{5}{2}\) x + 11

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = - \(\frac{5}{2}\) , then

y = - \(\frac{5}{2}\) x + c ← is the partial equation

To find c substitute (8, - 9) into the partial equation

- 9 = - 20 + c ⇒ c = - 9 + 20 = 11

y = - \(\frac{5}{2}\) x + 11 ← equation of line

The average rate of change is given by:

For p(x):

For m(x):

For q(x):

For n(x):

Therefore, the function which has an average rate of change of -4 over the interval [-2,2] is p(x).

Answer:

see photo

Step-by-step explanation:

Plato/Edmentum

Based on this information, we can conclude that:Number of doctor visits in the last year is a quantitative-discrete variable.

There are four types of variables that can be seen in statistics;

Qualitative nominal, qualitative-ordinal, quantitative discrete, or quantitative-continuous.

To identify the type of variable, follow the instructions below:

Quantitative Continuous: Variables that are measured and are continuous in nature, such as height, weight, etc. These variables are measured on a continuous scale.

Qualitative Nominal: Variables that can be categorized but cannot be ranked in order, such as gender, race, etc.

Qualitative Ordinal: Variables that can be categorized and ranked, such as grades (A, B, C, D, F).

Quantitative Discrete: Variables that are counted and cannot be measured, such as the number of people in a class, the number of cars in a parking lot, etc.

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Answer:

60 square km

Step-by-step explanation:

First, seperate the figure into two as a rectangle and a trapezium by drawing a line from the vertex between the lines which are 8km and 5km long until it reaches the line on the bottom. (11km) Then, find the area of the rectangle by multiplying 8 by 6, which gives an answer of 48 square km. Then, find the area of the trapezium using the equatiuon 1/2 (a+b) h. Here, a and b are the two parallel lines of the trapezium, which are the lines 2km and 6 km long, and h means the perpendicular height which is 3km long (by substracting 8 from 11, you get 3). you get the answer as 12 square km. finally, add up 12 and 48 to get 60 square km.

Answer:

solution,

\(a. \: x(x + 2) \\ \: \: = x \times x + 2 \times x \\ \: \: = {x}^{2} + 2x\)

\(b . \: x(2x - 5) \\ \: = x \times 2x - x \times 5 \\ \: \: = 2 {x}^{2} - 5x\)

\(c. \: 2x(3x + 4) \\ \: = 2x \times 3x + 2x \times 4 \\ \: \: = 6 {x}^{2} + 8x\)

\(d. \: 6x(x - 2) \\ \: \: = 6x \times x - 6x \times 2 \\ \: \: = 6 {x}^{2} - 12x\)

Hope this helps...

Good luck on your assignment..

Answer:

x=-6/29

y=-17/29

Step-by-step explanation:

we have the system of equations

-13x+8y=-2  ------> equation 1

2x+y=-1 ------> equation 2

Solve by elimination

step 1

Multiply equation 2 by -8 on both sides

-8[2x+y=-1 ] ---------> -16x-8y=8 ------> equation 3

step 2

Adds equation 1 and equation 3

-13x+8y=-2

-16x-8y=8

-----------------

-29x=6

x=-6/29

Find out the value of y

substitute the value of x in any equation

2x+y=-1

2(-6/29)+y=-1

-12/29+y=-1

y=-1+(12/29)

y=-17/29

therefore

The answer is

x=-6/29

y=-17/29

Hamilton Corporation's effective tax rate is 22.5%.

The effective tax rate is a measure of a company's tax burden as a percentage of its pre-tax income. It indicates the proportion of pre-tax income that is paid in taxes.

In this case, Hamilton Corporation has a pre-tax income of $100,000 and a tax expense of $22,500. Therefore, the company paid $22,500 in taxes out of its pre-tax income of $100,000.

The effective tax rate is the ratio of the total tax expense to the company's pre-tax income.

Effective Tax Rate = Total Tax Expense / Pre-tax Income

In this case, the pre-tax income is $100,000, and the tax expense is $22,500. Therefore,

Effective Tax Rate = $22,500 / $100,000 = 0.225 or 22.5%

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The probability (in percentage) that a score will fall between a -3z and +2 z scores is 97.59%.

Assuming a standard normal distribution, the probability that a score falls between -3z and +2z can be calculated as the difference between the cumulative probabilities of +2z and -3z.

Using a standard normal distribution table or calculator, we find that the cumulative probability of +2z is approximately 0.9772, and the cumulative probability of -3z is approximately 0.0013.

Therefore, the probability that a score falls between -3z and +2z is:

0.9772 - 0.0013 = 0.9759

Converting to a percentage, we get:

0.9759 x 100% ≈ 97.59%

So the probability that a score falls between -3z and +2z is approximately 97.59%.

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Answer:

$50,000

Step-by-step explanation:

The computation of the amount received after paying off the mortgage is shown below

= Value of the house - mortgage amount

= $150,000 - $100,000

= $50,000

By deducting the mortgage amount from the value of the house we can get the amount received and the same is shown in the computation part

Since in the question it is given that the Rosetta sells her house and paid off mortgage so only these two items are considered and others are to be ignored

Answer:

B.) $50,000

Step-by-step explanation:

Because I said so aaaandddd because its correct the work don't lie.

The average temperature when the drug dosage changes from 2 to 4 milligrams is approximately -60.53 degrees Fahrenheit.

To estimate the change in temperature produced by the change from 3 to 3.2 milligrams in the drug dosage using differentials, we can use the following formula:

ΔT ≈ T'(x) * Δx

The Interpretation of T'(3) is T'(3) * 0.2

a. To find the average temperature when the drug dosage changes from 2 to 4 milligrams, we need to calculate the average value of T(x) over that interval.

The average value of a function f(x) over the interval [a, b] is given by the formula:

Average value = (1 / (b - a)) * ∫[a to b] f(x) dx

In this case, we need to find the average value of T(x) over the interval [2, 4]. So we have:

Average temperature = (1 / (4 - 2)) * ∫[2 to 4] T(x) dx

To find ∫[2 to 4] T(x) dx, we first need to calculate T(x) = x^2 * \((1 - x^2)\) and then integrate it over the interval [2, 4].

T(x) = x^2 * \((1 - x^2)\)

\(= x^2 - x^4\)

Now we integrate T(x) from 2 to 4:

\(∫[2 to 4] T(x) dx = ∫[2 to 4] (x^2 - x^4) dx\)

Integrating term by term:

\(∫[2 to 4] x^2 dx - ∫[2 to 4] x^4 dx\)

Integrating each term:

\((1/3) * [x^3] from 2 to 4 - (1/5) * [x^5] from 2 to 4\)

\([(4^3)/3 - (2^3)/3] - [(4^5)/5 - (2^5)/5]\)

Simplifying:

[(64/3) - (8/3)] - [(1024/5) - (32/5)]

(56/3) - (992/5)

Now, we can calculate the average temperature:

Average temperature = (1 / (4 - 2)) * [(56/3) - (992/5)]

Average temperature ≈ (1 / 2) * (168/15 - 1984/15)

≈ (1 / 2) * (-1816/15)

≈ -908/15

≈ -60.53 degrees Fahrenheit

Therefore, the average temperature when the drug dosage changes from 2 to 4 milligrams is approximately -60.53 degrees Fahrenheit.

b. To estimate the change in temperature produced by the change from 3 to 3.2 milligrams in the drug dosage using differentials, we can use the following formula:

ΔT ≈ T'(x) * Δx

Where ΔT is the change in temperature, T'(x) is the derivative of T(x) with respect to x, and Δx is the change in the drug dosage.

First, let's find the derivative of T(x) = \(x^2\) * (1 - x^2):

T(x) = \(x^2\)* (1 - x^2)

T'(x) = 2x * \((1 - x^2) + x^2 * (-2x)\)

= \(2x - 2x^3 - 2x^3\)

=\(2x - 4x^3\)

Now, we can estimate the change in temperature for the dosage change from 3 to 3.2 milligrams:

Δx = 3.2 - 3 = 0.2

ΔT ≈ T'(3) * Δx

Substituting the values:

ΔT ≈ T'(3) * 0.2

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Answer:

your anwser is 1085

Step-by-step explanation:

Solution

For this case we have the following equation given:

12x - 14y = -1

We need to write the following expression in this form:

y = mx +b

And if we solve for it we have:

12x +1 = 14y

Then if we divide both sides by 14 we got:

y = 12/14 x + 1/14

And if we simplify we got:

y = 6/7 x + 1/14