Consider the function as representing the value of an ounce of palladium in U.S. dollars as a function of the time t in days.
R(t) = 30t − 3t^2; t = 3
a. Find the average rate of change of R(t) over the time intervals [t, t + h], where t is as indicated and h = 1, 0.1, and 0.01 days. (Use smaller values of h to check your estimates.)

Answer:

f(-2) = 2

Step-by-step explanation:

Using the graph, we can determine the y value when x = -2.

When x = -2, the y value is 2.

f(-2) = 2

Answer:

Step-by-step explanation:

You want to know the slope of the line segment between (-4, -3) and (3, -3), and its relation to the x-axis.

The slope of a line between two points (x1, y1) and (x2, y2) is given by the formula ...

  m = (y2 -y1)/(x2 -x1)

For the given points, the slope is ...

  m = (-3 -(-3))/(3 -(-4)) = 0/7 = 0

The slope of the line segment is zero.

The line segment has the same slope as the x-axis. It is parallel to the x-axis.

__

Additional comment

The equation of the line segment is ...

  y = -3 . . . for -4 ≤ x ≤ 3

The equation of the x-axis is ...

  y = 0

The value of the right triangle cos d = 15/17 and cos c = 8/17.

Simply put, trigonometric functions—also referred to as circular functions—are the functions of a triangle's angle. This means that these trig functions provide the relationship between the angles and sides of a triangle. Sine, cosine, tangent, cotangent, secant, and cosecant are the fundamental trigonometric functions.

Given that, the value of tan c = 15/8 and the value of sin d = 8/17.

From the trigonometric functions we can conclude that:

Opposite side to c = 15

Adjacent side to c = 8

Hypotenuse = 17

Opposite side to d = 8

Adjacent side to d = 15

The values of cos d is:

cos d = Adjacent side to d / Hypotenuse = 15/17

cos c = Adjacent side to c / Hypotenuse = 8/17

Hence the value of the right triangle cos d = 15/17 and cos c = 8/17.

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The expression is there are 2 chocolates and 5 lollypops having a total cost of $5. The expression is 2C + 5L = $5.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

Suppose the real-time situation is if there are 2 chocolates and 5 lollypops having a total cost of $5.

The mathematical form of the expression can be written as:-

2C + 5L = 5

Here, C is the cost per chocolate and L is the cost of per Lollypop.

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The complete question is given below.

Write the expression if there are 2 chocolates and 5 lollypops having a total cost of $5.

Step-by-step explanation:

don't forget to smile today

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The only statement that must be based on the quadrilateral properties is; Option B: Base angles of quadrilateral Z are congruent

Some of the properties of a quadrilateral are;

1) They have four vertices.

2) They have four sides.

3) The sum of all interior angles is 360°.

4) They have two diagonals.

5) A quadrilateral can be regular or irregular.

Now, from the description of Quadrilaterals T and Z, we can say that;

- The base angles of quadrilateral T are not congruent since at least one pair of parallel side is congruent.

- Base angles of quadrilateral z are congruent since opposite sides are congruent.

- Consecutive angles of quadrilateral Z are not congruent

- Opposite angles of quadrilateral T are not supplementary.

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The equation x-3/ 2y=-12 when solved for the variable y is y = x-3/-24

We have to make 'y' the subject from the equation, we have;

x-3/2y=-12

By solving for the variable, we need to work it out.

Also, we have to make it stand alone on one end of the equality sign.

cross multiply the values

x - 3(1) = -12(2y)

multiply the values

x-3 = -24y

Make 'y' the subject by dividing both sides by the coefficient of y

y = x-3/-24

Hence, the equation is y = x-3/-24

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The correct answer is C. The Mode.

Data is the collection of data term that is organized and formatted in a specific way it's typically contains fact observation or statistics that are collected through a process of measurement or research data set can be used to answer question and help make informed decision they can be used in a variety of ways such as to identify trends on cover patterns and make prediction.

This measure of centre is most meaningful when the data is qualitative because it shows the value that appears most frequently in the data set. The mode can be used to identify the most popular item or most commonly occurring outcome. It is the only measure of centre that can be used for qualitative data, as the other measures (mean, median, and range) require numerical data.

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Answer:

d > - 7

Step-by-step explanation:

Swap the sides :

- 11.8d < 82.6

Then, divide both sides of the inequality by -11.8 and flip the inequality sign

There is No relation between the variables ggg and hhh.

To determine if the given table shows a proportional relationship between the variables ggg and hhh, we need to check if the ratio of hhh to ggg is constant for all values of ggg.

Let's calculate the ratios of hhh to ggg for each value of ggg:

For ggg = 333, hhh/ggg = 999/333 = 3.

For ggg = 666, hhh/ggg = 363636/666 = 546.

For ggg = 999, hhh/ggg = 818181/999 = 819.

Since the ratios of hhh to ggg are not constant, the given table does not show a proportional relationship between the variables ggg and hhh.

Therefore, the answer is "No, the table does not show a proportional relationship between the variables ggg and hhh."

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The solution of the expression x²-8x = 24 will be x = 4+√40. The correct option is D.

Expression in maths is defined as the relation of numbers variables and functions by using mathematical signs like addition, subtraction, multiplication, and division.

Given that the quadratic expression is, x²-8x = 24. The expression will be solved as below,

x²-8x = 24

Solve the above expression by completing the square method.

x²-8x = 24

( x - 4 )² - 24 - 16 = 0

( x - 4)² =40

x - 4 = √40

x = √40 + 4

Therefore, the correct option is D.

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Based on the conversion factors, the equivalent values are as follows:

1 Tbsp. = 1/16 c

1/4 c. = 4 Tbsp

1 c. = 16 Tbsp

1 c. = 1/2 pint

1/3 c. = 80 mL

A conversion factor is a number that is used to multiply or divide one set of units into another. If a conversion is required, it must be done using the correct conversion factor to get an identical value. For instance, 12 inches equals one foot when converting between inches and feet.

The conversion factor for Tbsp to c is 1/4, which means that 1 Tbsp. is equal to 1/4 c.

The conversion factor for c to mL is 236.6, which means that 1 c. is equal to 236.6 mL (rounded to one decimal place).

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Answer: 3x + 8y

Step-by-step explanation:

Combining like terms is simply adding all the terms which are similar.

2x+6x-5x= 3x

5y+3y= 8y

Hope it helps!

Answer:  None of the above

Step-by-step explanation: It's none because we need to divide the 70 apples by the 4 in the sample ratio. That's 17.5. Now, we need to multiply 3 by that. So, 17.5 * 3 = 52.5. That's equal to about 53 oranges. But, as we see that is not an answer choice. So, I believe it's none of the above.

4:3 = 53:70 (about 53)

The system that is represented in the graph include:

y > x² – 2x – 3

y > 3x + 4

The study of graphs, which are mathematical constructions used to represent pairwise relationships between things, is known as graph theory in mathematics. In this case, a graph consists of vertices connected by edges.

The graph shows a dashed upward opening parabola with a vertex at negative 1 comma negative 4, with shading inside the parabola. It also shows a dashed line passing through the points negative 2 comma negative 1 and 0 comma 3, with shading above the line.

This depicts y > x² – 2x – 3 and y > 3x + 4.

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Which system is represented in the graph?

y ≥ x2 – 2x – 3

y ≤ 3x + 4

y < x2 –2x – 3

y > 3x + 4

y < x2 – 2x – 3

y > 3x + 4

y > x2 – 2x – 3

y > 3x + 4

Equation that we can use to find the amount of money, p, Roman Rounds normally charges for a large pizza is 12(p - 2) = 192.

Let's use p to represent the normal price of a large pizza from Roman Rounds. Since Mr. Mosley ordered 12 large pizzas and received a $2 discount on each, he paid a total of $192. We can use this information to set up the following equation:

12(p - 2) = 192

In this equation, 12 represents the number of large pizzas that were ordered, and (p - 2) represents the discounted price of each pizza. The left side of the equation gives us the total amount that Mr. Mosley paid for the pizzas. By setting this expression equal to 192, we can solve for p, the normal price of a large pizza from Roman Rounds.

To solve for p, we first distribute the 12 on the left side of the equation:

12p - 24 = 192

Next, we add 24 to both sides of the equation:

12p = 216

Finally, we divide both sides of the equation by 12:

p = 18

Therefore, the normal price of a large pizza from Roman Rounds is $18.

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A chairman and vice chairman are to be selected from a committee of eight people in such a way that no one treasurer individual can hold more than one position. The permutation of 8 different objects, chosen two at a time, results in the number of possible chairman selections in this situation.

[tex]^{8} P_{2} =[/tex][tex]8/8-2=8/6=8*7*6/6=8*7=56[/tex]

Cash and liquidity management, risk management, and corporate finance are among the important basic responsibilities of a corporate treasurer. The division in charge of a nation's finances, economy, and revenue is known as the treasury. Although in certain nations the treasury answers to a Secretary of the Treasury or Chancellor of the Exchequer, the treasurer is often in charge of the department. After the Prime Minister and Deputy Prime Minister, the Treasurer is a senior minister in Australia and frequently the second or third most significant member of the cabinet. Additionally, each Australian state and autonomous territory has its own treasurer.

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The speed of each boy is given as follows:

The slope-intercept definition of a linear function is given as follows:

y = mx + b.

In which:

For this problem, the parameters are given as follows:

Hence the functions are given as follows:

They meet at 1 pm, which is three hours after 10 am, hence the velocity of the faster boy is obtained as follows:

3v = 68 - 3(v - 3)

3v = 68 - 3v + 9

6v = 77

v = 77/6

v = 12.83 miles per hour.

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8 is (6x^2-7x-5)/(2x + 1)

The value of the given ratio 3/4 : 1/2 is 3/2.

To get the value of a ratio, we just need to take the quotient between the first and second values.

For example, the value of a:b is a/b.

In this case we have the ratio:

3/4 : 1/2

Taking the quotient we will get:

(3/4)÷(1/2) = (3/4)*(2/1) = 6/4

                                    = 3/2

That is the value of the ratio.

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Answer: 28xy(7x^2-1)

Step-by-step explanation:

28x^3yx7z^2-7x4xy

196x^3-28xy

The number of months it will take to have same number of caregivers is 3 months .And there will be of 17 caregivers of each type.

What is an equation?

An equation is an expression with variables and constant having an equality sign. The degree of equation can be one or more than one.

We are given that initially there are  8 assistant caregivers

and 5 senior caregivers.

And the owner is going to be hiring 3 assistant caregivers per month and

4 senior caregivers per month.

Hence the number of total assistant caregivers after n months will be

3n +8

And the number of senior caregivers after n months will be 4n+ 5

To find n we equate the two

3n + 8 = 4n+5

n =3

Hence after 3 months there will be same number of assistant and senior caregivers

And the total number of assistant and senior caregivers is 3(3)+8 = 17

The number of months it will take to have same number of caregivers is 3 months .And there will be of 17 caregivers of each type.

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Answer:

16 visitors per hour

Step-by-step explanation:

96/6 = 16

Answer:

8√57/57

Step-by-step explanation:

a² + b² = c²

a² + 8² = 11²

a² + 64 = 121

a² = 57

a = √57

For angle Θ, opp = 8, adj = √57, hyp = 11.

tan Θ = opp/adj = 8/√57 = 8√57/57

Explanation:

The normal curve, aka bell curve, has mirror symmetry with the mean at the very center. Half of the data is below the mean, while the other half is above the mean.

About 68% of the data will lie below the mean in a normally distributed data set. This is known as the Empirical Rule, which states that if a data set is approximately normally distributed, then approximately 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviations, and 99.7% falls within three standard deviations.

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Answer:

5)1/12

6) 25%

Step-by-step explanation:

5)The odds of Mr Douglas eating two slices of cheese pizza can be calculated by doing 3/(5 + 1 +3) = 1/3

the second slice's odds can be calculated by doing 2/(5+1+2) = 1/4

Multiply these to get the odds of two being eaten

1/4 times 1/3 is 1/12.

6) the odds of her selecting a red pen the first time is 50%. to do it again would be another 50% chance. 50% times 50% is 25%.

The probability that an orange weighs more than 17 oz is 0.1587.

The probability that an orange weighs more than 17 oz is 0.1587. This value can be calculated using the Z-score formula, which is used to calculate the probability of an event occurring. The formula is as follows:

Z = (x - μ) / σ

where x is the data point, μ is the mean, and σ is the standard deviation.

In this case, the Z-score is (17 - 14) / 2 or 1.5. We can find the probability using the Z-score table, which gives us 0.1587, the probability that an orange weighs more than 17 oz.

The Z-score formula is useful for determining the probability of an event occurring when the data follows a normal distribution. Knowing the mean and standard deviation, we can calculate the likelihood of a certain outcome occurring. In this case, the probability that an orange weighs more than 17 oz is 0.1587.

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When ever the area is calculated the units will have a degree of two.

The area is defined as the space covered by any two-dimensional body. The unit if the area is calculated as square units. The square units come because the area is calculated by the two parameters of length.

The area of the rectangle is calculated by the multiplication of the two lengths like length and width.

Similarly, the area of the circle is calculated by taking the square of the radius of the circle it means that the length here is also multiplied by two times.

Therefore, the area is calculated in an square units.

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