The point P lies on the terminal side of the angle. Find the value of the trigonometric function: P(-5,5),cot (θ)Select one:a. Undefinedb. -5c. 1d. -1

Answer:

The slope and y-intercept values indicate characteristics of the relationship between the two variables x and y.

Step-by-step explanation:

The slope indicates the rate of change in y per unit change in x.

The y-intercept indicates the y-value when the x-value is 0.

The correct option is A. Both the slopes and the y intercepts are same.

Equation of a line in slope intercept form is y = mx + b, where m is the slope of the line and b is the y intercept, which is the y coordinate of the point where it touches the Y axis.

First we will find the equation of the graph of f(x) in slope intercept form.

The line passes through (0, 3) and (1, 1).

So the y intercept is 3, since the line touches the y axis at that point.

Slope = (1 - 3) / (1 - 0) = -2

Equation of the line in slope intercept form is,

f(x) = -2x + 3

The function g(x) = -2x + 3.

Both functions are same.

Hence both slopes and y intercepts are same.

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The probability that the first three cases are all pink is 0.015. In most cases, the probability is given as a ratio between the total number of outcomes in the sample space and the number of positive outcomes.

Probability is the potential for something to occur. The value is expressed in the range of 0 to 1 .In light of this, whenever we are unsure of how an event will turn out, we can talk about the probabilities of various outcomes, or how likely they are.

Statistics is a term that refers to the study of probability-based phenomena. Hence, the probability that an event will occur depends on both the quantity of favorable outcomes and the total number of outcomes.

Probability = no. of favorable cases/total number of cases

Given

Total No. of cases = 80

Black = 40

White = 40

Pink = 30

Probability = no. of favorable cases/total number of cases

For first draw

Pink cases = 10

Total cases = 80

P1  = 10/80

For second draw

Pink cases left = 9

Total cases = 79

P2  = 9/79

For second draw

Pink cases left = 8

Total cases = 78

P2  = 8/78

Now Total Probability is

P = P1× P2 × P3

P = 10/80 × 9/79 × 8/78 = 720/492,960

P = 3/2054 ≈ 0.015

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The simplified boolean expression for F5 is F5 = P OR (NOT R). In this expression, P represents one boolean variable, and (NOT R) represents the negation of another boolean variable R. The OR operator combines the two variables, resulting in the final boolean expression F5.

To simplify the boolean expression F5 = (P AND Q) OR (R AND NOT P), we can apply Boolean algebra rules to reduce it to its simplest form.

Step 1: Apply De Morgan's laws

NOT (R AND NOT P) can be simplified as (NOT R) OR P.

Step 2: Distributive property

F5 = (P AND Q) OR ((NOT R) OR P)

Step 3: Apply associative property

F5 = (P AND Q) OR (P OR (NOT R))

Step 4: Apply absorption law

F5 = P OR (P OR (NOT R))

Step 5: Apply idempotent law

F5 = P OR (NOT R)

By simplifying the expression, we have reduced it to its simplest form while preserving its logical meaning. The simplified expression can be used to analyze and evaluate logical circuits or systems where the variables P and R are used.

Remember, boolean algebra allows us to manipulate and simplify complex logical expressions by applying various rules and properties. These simplifications help in understanding and analyzing logical operations in digital systems and circuits.

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The question probable may be:

Consider the boolean variables P, Q, and R. Determine the boolean expression for the variable F5 using the given variables:

F5 = (P AND Q) OR (R AND NOT P)

Using the boolean variables P, Q, and R, can you simplify the expression F5 to its simplest form by applying Boolean algebra rules?

Answer:

\(y=2x+2\)

Step-by-step explanation:

Hi there!

What we need to know:

1) Determine the slope (m)

\(2x-y = 5\)

To do so, we must organize the given equation into slope-intercept form to identify the value in place of m.

Subtract 2x from both sides (isolate y)

\(2x-y -2x= -2x +5\\-y= -2x +5\)

Divide both sides by -1 (isolate y)

\(y= 2x -5\)

Now, from this equation, we can tell that the number in the place of m in \(y=mx+b\) is 2. Because parallel lines have equal slopes, the slope of the line we're currently solving for would also be 2. Plug this slope into \(y=mx+b\):

\(y=2x+b\)

2) Determine the y-intercept (b)

\(y=2x+b\)

Plug in the given point (-3,-4) and solve for b

\(-4=2(-3)+b\\-4=-6+b\)

Add 6 to both sides to isolate b

\(-4+6=-6+b+6\\2=b\)

Therefore, the y-intercept is 2. Plug this back into \(y=2x+b\):

\(y=2x+2\)

I hope this helps!

Answer:

The party will cost 28.125 dollars.

Step-by-step explanation:

Because to find how much each person costs you would have to take 22.50 divided by 4 to get 5.625, then do 5.625 times 5 to get 28.125 as your answer.

Answer:

y=5x

y2-y1/x2-x1 = 10-5/2-1

Step-by-step explanation:

Answer:

11 feet

Step-by-step explanation:

The area of a square is simply the side of the square squared.  This can be written as an equation as follows:

A = l^2

where A is the area of the square and l is the length of a side of the square.

Using this, we can find the length of the side.

121 = l^2

sqrt(121) = sqrt (l^2)

11 = l

Hence, the side length of the square is 11 feet.

Cheers.

Answer:

11

Step-by-step explanation:

\(Area = s^2\)

s = side

\(A =121\\121 = s^2\\Square\:root\:both\:sides\:of\:the\:equation\\\sqrt{121}=\sqrt{x^2} \\\\11 =x\\x=11\)

Answer:

(D)(f-g)(x)=|7x-1|-6

Explanation:

Given the functions f(x) and g(x) defined as follows:

We want to find the expression (f-g)(x).

The correct choice is D.

The cone that has the greatest volume is cone C

The given parameters in the question are

Cone A

Height = 10 cm

Diameter = 4 cm

Cone B

Height = 20 cm

Diameter = 4 cm

Cone C

Height = 10 cm

Diameter = 8 cm

The volume of a cone can be calculated using the following volume equation

Volume of a cone = 1/3π(d/2)²h

Where

h = height of the cone

r = radius of the cone

d = diameter of the cone

Using the above equations, we have the following computations

Volume of a cone A = 1/3π * (4/2)² * 10

Volume of a cone A = 40/3π

Volume of a cone B = 1/3π * (4/2)² * 20

Volume of a cone B = 80/3π

Volume of a cone C = 1/3π * (8/2)² * 10

Volume of a cone C = 160/3π

We can see that 160/3π is greater than 40/3π and 80/3π

Hence, cone C has the highest volume

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Answer:

SA = 62 cm2

Step-by-step explanation:

The surface area of the given cuboid will be 62 cm² whose dimensions are cm, 5 cm, and 2 cm.

The total surface of the cuboid = 2(LB+BH+HL)

Consider that the length, width, and height of the cuboid are L, B, and H.

The cuboid is given in the question

Which has the length, width, and height of the cuboid are 3 cm, 5 cm, and 2 cm.

The surface area of the cuboid = 2(LB+BH+HL)

Here L = 3 cm, B = 5 cm, and H = 2 cm

Substitute the values in the above formula, and we get

The surface area of the cuboid = 2(3 × 5 + 5 × 2  + 2 × 3)

The surface area of the cuboid = 2(15 + 10 + 6)

The surface area of the cuboid = 2(31)

The surface area of the cuboid = 62 cm²

Thus, the surface area of the given cuboid will be 62 cm² whose dimensions are cm, 5 cm, and 2 cm.

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\(15 \div 3( - 2) + | - 10| \\ 5( - 2) + 10 \\ - 10 + 10 \\ 0\)

Hope it helps

please give brainliest

The midpoint of a line segment is the point that is halfway between the two ends of the line segment. A midway separates a line segment into two equal parts.

This is further explained below.

Generally, In the field of geometry, a line segment is defined as the portion of a line that is enclosed by two unique points on the line.

Alternatively, we may say that a line segment is the portion of a line that is between two points. A line does not have any endpoints and may stretch endlessly in any direction, however, a line segment has two endpoints that are fixed or definite in some way.

In conclusion, The term "midpoint" refers to the point along a line segment that is situated exactly midway between the beginning and ending points. A midway separates a line segment into two equal parts.

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THE CORRECT ANSWER: (-1.5, + 2.5)

\(\large{\rm{\underline{\underline{Answer:}}}}\)

The point A is above the x-axis at a distance of 2.5 and from y-axis at a distance of -1.5 (1.5 in the negative direction). If we draw lines from the coordinates to the axes, the coordinates of A is (-1.5, +2.5).

The point is on the second quadrant.

Answer:

62.12% to 77.88%

Step-by-step explanation:

We proceed as follows mathematically;

From the question

n=130

Estimate for sample proportion=70% = 70/100 = 0.7 = p

Level of significance is =1-0.95=0.05

Z critical value(using Z table)=1.96

Confidence interval formula is ;

p ± Z * √(p(1-p)/n

= 0.70 ± √(0.7(1-0.7)/130

=(0.6212,0.7788)

Lower confidence interval limit =0.6212

Upper confidence interval limit =0.7788

In percentages , we simply multiply by 100 in both cases =

62.12 % to 77.88%

The function that represents how many more texts that were sent this week than last week is: B. (f − g)(x) = 3x + 16.

To find the value of a given functional expression, we have to apply the basic knowledge of how to solve algebraic expressions.

For example, if we are given that (f - g)(x), it means we are to subtract the function g(x) from f(x). That is (f - g)(x) = f(x) - g(x).

Given the following functions:

Number of texts sent this week is represented as the function, f(x) = 8x + 14

Number of texts sent last week is represented as the function, g(x) = 5x - 2.

Number of texts that were sent this week than last week = (f - g)(x)

(f - g)(x) = (8x + 14) - (5x - 2)

(f - g)(x) = 8x + 14 - 5x + 2

(f - g)(x) = 3x + 16

Therefore, the answer is: (f − g)(x) = 3x + 16.

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Therefore, the answer is: (f − g)(x) = 3x + 16.

Answer:

the ratio of the adjacent side to the hypotenuse is a function of the angle c, so we can write the symbol as cos(c) = value. 90

Step-by-step explanation: You can also see that 40 + 41 + 9 = 90. hope this helps

Answer:

9/41

Step-by-step explanation:

i just took the quiz its 9 over 41

There are no solutions to the system of inequalities Option (d)

Inequalities are a fundamental concept in mathematics and are commonly used in solving problems that involve ranges of values.

A system of two inequalities is a set of two inequalities that are considered together. In this case, the system of inequalities is

y > 3x + 1

y < 3x - 3

The inequality y > 3x + 1 represents a line on the coordinate plane with a slope of 3 and a y-intercept of 1. The inequality y < 3x - 3 represents another line on the coordinate plane with a slope of 3 and a y-intercept of -3. We can draw these lines on the coordinate plane and shade the regions that satisfy each inequality.

The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded.

We can start by analyzing the inequality y > 3x + 1. This inequality represents the region above the line with a slope of 3 and a y-intercept of 1. Therefore, any point that is above this line satisfies this inequality.

Next, we analyze the inequality y < 3x - 3. This inequality represents the region below the line with a slope of 3 and a y-intercept of -3. Therefore, any point that is below this line satisfies this inequality.

To determine which values satisfy both inequalities, we need to find the region that satisfies both inequalities. This region is the intersection of the regions that satisfy each inequality.

When we analyze the regions that satisfy each inequality, we see that there is no region that satisfies both inequalities. Therefore, there are no values that satisfy the system of inequalities shown.

There are no solutions to the system of inequalities y > 3x + 1 and y < 3x - 3 by analyzing the regions that satisfy each inequality on a coordinate plane. The lack of a solution is determined by the fact that there is no region that satisfies both inequalities.

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Complete Question :

Which is true about the solution to the system of inequalities shown?

y > 3x + 1

y < 3x – 3

On a coordinate plane, 2 solid straight lines are shown. The first line has a positive slope and goes through (negative 2, negative 5) and (0, 1). Everything to the left of the line is shaded. The second line has a positive slope and goes through (0, negative 3) and (1, 0). Everything to the right of the line is shaded.

Options:

a)Only values that satisfy y > 3x + 1 are solutions.

b)Only values that satisfy y < 3x – 3 are solutions.

c)Values that satisfy either y > 3x + 1 or y < 3x – 3 are solutions.

d)There are no solutions.

Answer:

D

Step-by-step explanation:

The percentage improvement in reliability when test length is doubled is 15%

R(n) = 0.25n / (0.75 + 0.25n)

substitute n = 1 into the equation :

R(n) = 0.25n / (0.75 + 0.25n)

R(1) = 0.25(1) / (0.75 + 0.25(1))

R(1) = 0.25 / 1

R(1) = 0.25

when test length is doubled , n = 2

substitute n = 1 into the equation :

R(n) = 0.25n / (0.75 + 0.25n)

R(2) = 0.25(2) / (0.75 + 0.25(2))

R(2) = 0.5 / 1.25

R(2) = 0.4

Percentage improvement can be calculated thus ;

R(2)-R(1)/R(1) × 100%

(0.4-0.25)/0.25 × 100%

0.15 × 100%

=15%

Therefore, percentage improvement in reliability is 15%

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Answer:

it costs $17.7

Step-by-step explanation:

1.35/9 is 0.15

0.15 * 118 = 17.7

The exact solutions of the qudratic equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by

3 (x = (-1 ± √3) / 3) .So, option a is the correct answer.

To find the solutions of the quadratic equation 3x^2 - 6x + 2 = 0, we can use the quadratic formula, which states that for an equation of the form ax^2 + bx + c = 0, the solutions are given by:

x = (-b ± √(b^2 - 4ac)) / (2a)

In this case, a = 3, b = -6, and c = 2. Substituting these values into the formula, we have:

x = (-(-6) ± √((-6)^2 - 4(3)(2))) / (2(3))

x = (6 ± √(36 - 24)) / 6

x = (6 ± √12) / 6

x = (6 ± 2√3) / 6

x = (3 ± √3) / 3

Therefore, the exact solutions of the equation 3x^2 - 6x + 2 = 0 are:

a. negative 1 plus or minus the square root of 3 divided by 3 (x = (-1 ± √3) / 3)

So, option a is the correct answer.

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Answer:

See below.

Step-by-step explanation:

I am assuming you're asking for slope-intercept form.

First, find the slope. The two points they give us are (-1,3) and (0,4).

4-3=1

0-(-1)=1

The slope is 1/1, or 1.

Then find the y-intercept. In this case, it's 4.

The formula for slope-intercept form is y=mx+b. m is slope, and b is y-intercept.

y=1x+4, or y=x+4.

-hope it helps

The estimated profits for each company are given as follows:

Jones Corporation:

Davis Company:

The function that defines the profit for Jones Corporation is an exponential function defined as follows:

y = 10(0.99)^t

In which t is the number of years since 2015, while the profit is measured in millions of dollars.

Thus the coefficient a = 10 means that the estimated profit for the year of 2015 is of 10 million dollars.

For the year of 2025, that is, 10 years after 2015, the estimate is calculated as follows:

y = 10(0.99)^10 = 9.084821 = $9,084,821.

For Davis Company, the profit function is given as follows:

y = 8(1.01)^t.

Hence the profits are modeled as follows:

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The probability of randomly picking a school or library-related issue from the ballot is 9/19 or approximately 0.474 (rounded to three decimal places).

To determine the probability of a randomly picked issue being school or library related, you'll need to consider the total number of issues and the number of school and library issues combined.

There are 7 school-related issues, 10 ordinance-related issues, and 2 library-related issues, making a total of 19 issues on the ballot. To find the probability of picking a school or library issue, combine the number of school and library issues: 7 + 2 = 9.

Now, divide the number of school and library issues (9) by the total number of issues (19): 9/19.

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Step-by-step explanation:

Answer:

M parallel = negative 7

M perpendicular = negative as 3 is the numerator and 2 is the denominator

Step-by-step explanation:

The surface area of what shape exactly?

Answer:

Step-by-step explanation:

I'm assumung this is a cube sense cubes will equal the same for all 6 sides we just have to find 1 side then just multiply by 6 to get the answer easy peasy!!! so 4 × 4 = 16 and 16 × 6 = 96 so 96 is our surface area Hope that helps!

Answer:As we point out and use functions in real-life settings, we can ask our students ... Topics in this series include: algebraic thinking, patterns in context, ...

Input: output

4: 12

5: 15

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

The slope of problem 11 is

\( - \frac{2}{5} \)

The slope of problem 10 is

\( 4\)