suppose you roll two dice. find the probability of rolling a sum of 11.​

The functions for this problem are defined as follows:

The functions for this problem are given as follows:

The addition and subtraction functions for this problem are given as follows:

At x = -2, the numeric value of the subtraction function is given as follows:

(t - s)(-2) = -2³ - 5(-2)²

(t - s)(-2) = -28.

The product function for this problem is given as follows:

(ts)(x) = \(5x^5\)

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Answer: (5 , 1)

Step-by-Step explanation:

hihi your problem is a system of question y = x-4 and  y = -x+6 okay so  graph them both normally and then find the point where they intersect which is gonna be a coordinate point, and that's your solution !!

y = x-4
the y intersect is going to be 4
the slope is a positive 1 , going up to the right, through the positive quadrant, line is facing to the right

y = -x+6
the y intersect is going to be -6
the slope is going to be a -1 , following up the opposite way the line is going to face the left

once you graph them both you'll see the point of intersection, the solution
make sure you drew your lines very clearly !!!!

the solution is  x = 5 and y = 1 which is also (5 , 1)

hopefully this was helpful !

When 'a' is 10, 'c' is approximately 142.97. You can repeat this process for different values of 'a' to find corresponding values of 'c'. Keep in mind that there are infinitely many solutions to this equation

To use the elimination method to solve the equation 2a + c = 162.97, we need another equation with the same variables. However, as there is only one equation given, we cannot apply the elimination method directly.

The elimination method typically involves adding or subtracting equations to eliminate one of the variables, resulting in a new equation with only one variable. Since we have only one equation, we don't have the opportunity to eliminate variables using another equation.

In this case, we can solve the given equation directly by isolating one variable in terms of the other. Let's solve for 'c':

2a + c = 162.97

Rearrange the equation to isolate 'c':

c = 162.97 - 2a

Now, we have an expression for 'c' in terms of 'a'. This equation represents a line in the 'a-c' coordinate plane. We can choose any value for 'a', substitute it into the equation, and calculate the corresponding 'c' value.

For example, let's say we choose 'a' = 10:

c = 162.97 - 2(10)

c = 162.97 - 20

c = 142.97

So, when 'a' is 10, 'c' is approximately 142.97.

You can repeat this process for different values of 'a' to find corresponding values of 'c'. Keep in mind that there are infinitely many solutions to this equation since we have one equation and two variables.

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The 4ml of this solution, this patient will need in a day.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

We are given that 80 kg patient needs a medication X in the amount of 0.25 mg/kg/day.

The medication comes in a liquid solution of 50 mg for every 10 ml therefore,

0.25 x 80 = 20mg/day

50/10 = 5mg/ml

Then the patient need in a day;

20/5= 4ml

Theefore, The solution, this patient will need in a day is 4 ml.

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Answer:

x=-14

Step-by-step explanation:

\((\stackrel{x}{-2}~~,~~\stackrel{y}{27}) ~~ \textit{lies on }\textit{\LARGE f}\qquad \textit{so then}\qquad f(\stackrel{x}{-2})~~ = ~~\stackrel{y}{27}\)

Answer:

16,000

Step-by-step explanation:

because 7 rounds it up to 16,000

Answer:

Please check the attached graph below.

Step-by-step explanation:

We know that a dot plot illustrates a visual display of data using dots.

Given that Ramon recorded how many miles he biked each day in the table, such as:

Distance (mi)              Frequency

1                                    2

2                                   2

3                                   4

4                                   4

5                                   2

6                                   2

The dot plot of data points plotted as dots on a graph with an x- and the y-axis is attached below.

Answer

got the quiz right

Step-by-step explanation:

     x x

     x x

x x x x x x

x x x x x x

Answer: 2

Step-by-step explanation:

The closest option to the cone area is 923.2 m². 

A cone is a shape formed from a series of line segments or lines that connect a common point, called a vertex or vertex, to all points on the base of a circle that do not contain vertices. The distance from the apex of the cone to the base is called the height of the cone.

To solve this problem, we need to find the surface of the cone. Formula for the surface area of cone:

A = \(\pi\)r² + \(\pi\)rℓ

where r is the radius of the base, ℓ is the height of the depression, and π is a constant of approximately 3.14159.

First, we find the radius of the base. Since the bottom line of the cone is listed as 18 feet and we know the radius is 14 feet, we can use the Pythagorean theorem to find the height of the cone.

h² = ℓ² - r²

h² = 19.3² - 14²

h ≈ 11.48 feet

Now we can compute the surface.

A = \(\pi\)(14)² + \(\pi\)(14)(19.3)

A ≈ 923.2 square feet

So the closest option to the cone area is 923.2 m². 

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Answer:

x = -1/2 = -0.5

Step-by-step explanation:

2x + 29 >= 28

2x >= 28-29

x = -1/2

Answer: The two lines intersect at (-4,3)

Step-by-step explanation:

So our first step would be to turn both of these into standard slope-intercept form.

1.)

4y + 3x = 0

4y = -3x

y = -3/4x

2.)

4y - x = 16

4y = x + 16

y = 1/4x + 4

Now that we have our 2 equations, y = -3/4x and y = 1/4x + 4 we can graph them to get an intersection at (-4,3)

The expression to be solved is:

The zero product property states that the solution to this equation is the values of each term equals to 0.

The answers are -5 and 8.

The antiderivative from 1 to infinity is 1.

To use the Integral Test, we need to check whether the series:

∑ (ln(n))/n² from n = 1 to infinity

converges or diverges by comparing it to the integral:

∫ (ln(x))/x² dx from x = 1 to infinity

Using integration by parts, we can solve this integral:

u = ln(x) dv = dx/x²

du = 1/x dx v = -1/x

∫ (ln(x))/x² dx = -ln(x)/x + ∫ dx/x²

= -ln(x)/x - 1/x + C

Evaluating the antiderivative from 1 to infinity:

= [(-ln(infinity)/infinity - 1/infinity) - (-ln(1)/1 - 1/1)]

= 1

Since the integral is finite and positive, and the series terms are positive, we can conclude that the series converges by the Integral Test.

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Answer:

4:24 or also 1:6

Step-by-step explanation:

Answer:

\(m = -\frac{2}{3}\)

Step-by-step explanation:

Given

\(P_1 = (-1,3)\)

\(P_2 = (5,-1)\)

Required

Determine and interpret slope

Slope is calculated using:

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

Where

\((x_1,y_1) = (-1,3)\)

\((x_2,y_2) = (5,-1)\)

\(m = \frac{y_2 - y_1}{x_2 - x_1}\) becomes

\(m = \frac{-1 - 3}{5 - (-1)}\)

\(m = \frac{-1 - 3}{5 +1}\)

\(m = \frac{-4}{6}\)

\(m = -\frac{2}{3}\)

The above slope is negative and it implies that x increases when y decreases and vice versa.

Answer:

9. 4/5

10. 3/4

11. 1/4

12. 1/8

13. 1/11

14. 1/9

15. 9/10

16. 1/10

Step-by-step explanation:

ur welcome

Answer:

5 x 8

Step-by-step explanation:

Answer:

\(5^{8}\)

Step-by-step explanation:

Using the rule of exponents

\((a^m)^{n}\) = \(a^{mn}\) , then

\((5^4)^{2}\) = \(5^{4(2)}\) = \(5^{8}\)

Answer:

its the first one

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Answer:

f = 4

Step-by-step explanation:

60= 15f

divide both side by 15

f = 4

Answer:

The positive angle that less than 360° and is conterminal with -289° is 71°

Step-by-step explanation:

Let us solve the question

∵ The measure of the angle is -289°

→ Add its measure by 360° to find the positive angle that is conterminal

   with it

∵ The measure of the positive angle = -289° + 360°

∴ The measure of the positive angle = 71°

The positive angle that less than 360° and is conterminal with -289° is 71°

The correct answer is Graph 1: y = cos(x/4)Graph 2: y = cos(x/2)

Based on the given descriptions of the graphs and the patterns they follow, the correct pairs are:

Graph 1: y = cos(x/4) ⟶ This graph has a period of 8 units and matches the pattern described.Graph 2: y = cos(x/2) ⟶ This graph has a period of 4 units and matches the pattern described.

Graph 3: y = cos(x) ⟶ This graph has a period of 2π (or approximately 6.28 units) and matches the pattern described.

Graph 4: (Not used)

Graph 5: (Not used)

Please note that without visual representation, it's difficult to provide a definitive answer. The pairs are based on the descriptions provided and may vary depending on the actual shapes of the graphs.

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Answer:

yellow

Step-by-step explanation:

Using derivative of a function

The derivative of a function is its limit as the change in the independent variable tends to zero.

Now, since we have the \(\lim_{h \to 0}\frac{cos(\pi + h) - (- 1)}{h}\).

We know that the definition of the derivative of  a function f(x) is

\(f'(x) =\lim_{h \to 0}\frac{f(x + h) - f(x)}{h}\)

Now, comparing both equations, we see that

f(x + h) = cos(x + h), f(x) = -1

Now, since f(x + h) = cos(x + h), we notice that f(x) must be a cosine function.

So, f(x) = cosx

Now, f(a) = -1

cosa = -1

a = cos⁻¹(-1)

= π

So, substituting this into the derivative equation, we have

\(f'(x) =\lim_{h \to 0}\frac{f(x + h) - f(x)}{h}\)

\(f'(x) =\lim_{h \to 0}\frac{cos(x + h) - (-1)}{h}\\=\lim_{h \to 0}\frac{cos(x + h) - cos(x)}{h}\\=\lim_{h \to 0}\frac{cos(\pi + h) - cos(\pi )}{h}\\= -sin\pi \\= 0\)

So,

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The input (x) that satisfies the condition of being multiplied by 6 and then Subtracted by 80 to give the same value as the output is 16.

The input as "x." According to the given information, the input (x) is multiplied by 6 and then subtracted by 80, resulting in the output. In mathematical terms, this can be expressed as:

Output = (6 * x) - 80

The problem states that the input and output are the same. Therefore, we can set up the equation:

x = (6 * x) - 80

To solve for x, we'll rearrange the equation and isolate the variable:

x - 6 * x = -80

Combine like terms:

-5 * x = -80

Divide both sides by -5:

x = (-80) / (-5)

Simplifying the division:

x = 16

Hence, the input (x) that satisfies the condition of being multiplied by 6 and then subtracted by 80 to give the same value as the output is 16.

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The equation for the graph of height (H) of the plant can be written as H = 4m + 5.

The slope of the graph (m) is 4.

Slope is a measure of the steepness of a line or the rate of change between two points on a line.

The equation for the graph of height (H) of the plant can be written as H = 4m + 5, where m is the number of months since Xavier bought the plant.

The slope of the graph (m) is 4. This means that for every month that passes, the height of the plant increases by 4 inches. This implies that the plant is growing at a rate of 4 inches per month. The interpretation of this slope in the context of the problem is that the plant is growing at a rate of 4 inches per month.

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The function limit of f(x) as x approaches 2 is 67 and the limit of f²(x) as x approaches 2 is 4489.

The function f(x) can be rewritten as:

f(x) = (5x³ + 3x² - x)/(x+2)

Using direct substitution, we see that f(2) is undefined, as the denominator of the function becomes 0.

To evaluate the limit, we can use L'Hopital's rule:

\(\lim_{x \to 2\\) f(x) = lim x→2 (5x³ + 3x² - x)/(x+2)

= \(\lim_{x \to 2\\) (15x² + 6x - 1)/(1)

= (15(2)² + 6(2) - 1)/(1)

= 67

To find the limit of f²(x) as x approaches 2, we can simply square the limit:

f(x) = \(\lim_{x \to 2\}\)f²(x)

= \(\lim_{x \to 2\) f²(x)  

= 67²

= 4489

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