For each problem, find the equation of the line tangent to the function at the given point. Your answer should be in slope-intercept form.

Answer:

116.58

Step-by-step explanation:

([tex]\frac{w2x - 3}{10}[/tex]) z  Substitute in what you know

[tex](\frac{(-6)(2)(1.2) - 3}{10})[/tex] (-67)

[tex](\frac{-14.4-3}{10})[/tex](-67)

[tex](\frac{-17.4}{10})[/tex](-67)

-1.74(-67)

116.58

Answer:

116,58

Step-by-step explanation:

((-6)·2·1,2-3)÷10·(-67)

(-14,4-3)÷10·(-67)

-17,4÷10·(-67)

-1,74·(-67)

116,58

The linear function with a slope of -1/4 and intercept of -5 is given as follows:

f(x) = -0.25x - 5.

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

y = mx + b.

In which:

The parameters for this problem are given as follows:

Comparing to the standard definition, the linear function is defined as follows:

f(x) = -0.25x - 5.

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Algebra test because the correlation is higher.

What does a statistical correlation mean?

A statistical metric known as correlation, which is given as a number, describes the strength and direction of a relationship between two or more variables.

                         Although there may be a correlation between two variables, this does not necessarily imply that the change in one variable is what led to the change in the values of the other variable.

Why correlation, you ask?

In common conversation, we use the word correlation to describe situations where two or more items seem to be connected.

                       In the field of analytics, correlations are certain numbers that are computed to express how closely related variables are to one another.

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On solving the provided question, we can say that by permutation  900 games were actually played; N = 900/45 = 20

The permutation of a set in mathematics is essentially the rearranging of its elements if the set is already ordered, or the arrangement of its members in a linear or sequential order. The act of altering the linear order of an ordered set is referred to as a "permutation" in this context. The mathematical calculation of the number of possible arrangements for a given set is known as permutation. Permutation, in its simplest form, refers to the variety of possible arrangements or orders. The placement of the elements matters with permutations. The placement of items in a specific order is known as a permutation. Here, the set's components are sorted in either chronological order or linear order.

The number of matches would be if each player faced each other once.

[tex]^{10}C_2[/tex] = 10! / 2! 8!

= 10 X 9 / 2 = 90/2

= 45

Given that 900 games were actually played,

N = 900/45 = 20

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Step-by-step explanation:

let addicts be x and Nike be x+6

so ,

x+x+6=12

or,2x=6

or x=-3

now x+6=3+6=9

therefore he had 9 Nike and 3 Adidas

Answer: In any triangle, the sum of the three angles is always 180 degrees. This is known as the triangle angle sum theorem.

So in triangle efg, we can use this theorem to find angle g in terms of x:

angle e + angle f + angle g = 180

5x+6 + 4x-6 + 5x-2 = 180

14x = 180 + 8

14x = 188

angle g = 5x-2 = 5(188/14) - 2 = 5(13.4285714) - 2 = 67.1428571 degrees

So angle g = 67.1428571 degrees

It's important to note that the values of x are the unknowns.

Step-by-step explanation:

Answer:Dilation is the increase or decrease in the size of a figure by a factor k. If a figure is dilated to produce an image, they are similar, hence the ratio of the corresponding sides are proportional. The length of the side between the vertices A′ and B′ is 16/7 units. Find out more on transformation at: brainly.com/question/1548871 Advertisement

Step-by-step explanation:

Determine appropriate formula to model scenarios.

Sometimes, different formulas can generate similar results. The key is to choose the formula that is most appropriate for the scenario, and it's also important to consider the complexity of the formula and its interpretability.

Based on the problem or question, the available data, and the literature review, determine the appropriate mathematical model to use. The model should be able to capture the key features of the problem or question and provide an accurate representation of the data.

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Answer:

add up variables and divide by 2

The sentence which is Proposition is b,c,d,e,g,h, i. We will find its Negation below.

What is Proposition?

An assertion that can be either true or untrue is referred to as a proposition (but not both). For instance, the statements "Paris is in France" (true), "London is in Denmark" (false), "2 equals 4" (true), and "4 Equals 7 (false)" are examples of propositions. The questions "what is your name?" and "complete your homework" are not propositions, nor are the statements "this sentence is wrong" "x is an even number" or "Socrates" (which is not even a phrase). A proposition's truth value refers to whether it is true or false.

What is Negation of Proposition?

The words " ¬" or " ~" are used to denote a statement's denial. For instance, "Arjun's dog has a black tail" is the given sentence. The statement "Arjun's dog does not have a black tail" is the negation of the one that has been said. As a result, the negation of the provided statement is false if the given statement is true.

Our first sentence is “Have a nice day”.

The phrase "Have a nice day" cannot be true or wrong, hence it cannot be a proposition. Additionally, a proposition is a declarative sentence, whereas this sentence is imperative.

The second sentence is "The soup is cold". Its Negation will be "The soup is not cold".

The third sentence is "The patient has diabetes". Its Negation will be "The patient does not have diabetes".

Fourth is "The light is on". Its Negation will be "The light is not on".

Fifth is "It’s raining today". Negation will be "It’s not raining today".

The Sixth is "you like my new shoes". This Sentence is not a proposition.

Seventh is "The sky is purple". Its Negation will be "The sky is not Purple".

Eight is "Every prime number is even". Its Negation will be "It’s not true that every prime number is even".

The ninth sentence is “There is a number that is larger than 17”. Its Negation will be "There is not a number that is larger than 17".

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Answer:

r = 5.6

Step-by-step explanation:

To solve this problem, we need to isolate r on one side of the equation. To do this, we need to subtract 2.3 from both sides, giving us:

2.3 + r = 7.9

r = 5.6

So, r = 5.6

Hope this helped!

Answer:

5.6

Step-by-step explanation:

2.3+r=7.9

r=7.9-2.3

r=5.6

Answer:

8.25

Step-by-step explanation:

trapezoid area =

(a+b)/2 times h =

if its 1.5

(4+7)/2 times 1.5 =

11/2 times 1.5 =

5.5 times 1.5 =

8.25

if its 15

5.5 times 15 =

82.5

its probably 1.5

wikipedia

Answer:

About 50 percent

Step-by-step explanation:

The expression which is correct representing the cost to rent a motorboat than a rowboat for x hours is 9x + 22.

Equation:

An equation is a mathematical formula that contains two algebraic expressions on either side of an equal sign (=). It shows the equivalence relation between the formula written on the left and the formula written on the right. In any formula, L.H.S = R.H.S (left side = right side). You can solve equations to find the values ​​of unknown variables that represent unknown quantities. If a statement doesn't have an equals sign, it means it's not an equation.

According to the question:

The equation of Rowboat rental is Given as:

8.50x + 3

and, the equation of motorboat rental is given as:

17.50x + 25

Now,

the difference between the equation (1) from equation(1):

   17.50x + 25 - (8.50x + 3)

⇒ 17.50x - 8.50x + 25 - 3

⇒ 9x + 22

Complete Question:

A boat rental company has two kinds of boats, rowboats and motorboats. The expressions below represent the cost,

in dollars, for renting each kind of boat for x number of hours.

Cost of a rowboat rental: 8.50x +3

Cost of a motorboat rental: 17.50x +25

Which expression shows how many more dollars it costs to rent a motorboat than a rowboat for x hours?

*8x +22

*9x + 22

*9x + 28

*26x + 28

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This implied that they were unable to rule themselves and establish their own rules. The king demanded that they pay enormous taxes.

They believed they were contributing taxes to an unrepresentative administration. They were also upset that the colonists had to allow the British soldiers to eat and sleep in their residences.

The colonists of America formed a protest in response to the actions of Parliament. A network of covert organizations called the Sons of Liberty was established throughout the colonies with the intention of scaring the tax collectors for Parliament. migrated to America because they wanted political liberty. They desired both economic opportunity and religious freedom. Self-government and individual liberties are valued in the United States.

Because the colonists opposed the British,

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Answer:

Let x be the number of sweets that Ryan has.

Since the ratio of the number of sweets Mary has to the number Ryan has is 3:2, we can say that Mary has 3/2*x sweets.

We know that if Mary gave 5 sweets to Ryan they would have the same number of sweets, so we can write the following equation:

3/2*x -5 = x

By solving this equation, we can find that x = 10. So, Ryan has 10 sweets

Therefore, Mary has 3/2*10 = 15 sweets.

Altogether, Mary and Ryan have 15+10 = 25 sweets.

Answer: 25

Step-by-step explanation:

3x - 5 = 2x, so

x = 5.

And 5x = 5*5 = 25

Answer:

product would be 6x^2-3x

Step-by-step explanation:

don't know the rest

The exact value of the trigonometric expression [tex]\frac{tan-(2\pi/3) }{sin(7\pi /4)} - sec(-\pi )[/tex] in the simplified radical form is √6  +  1.

[tex]\frac{tan-(2\pi/3) }{sin(7\pi /4)} - sec(-\pi )[/tex]

We have the angle,

-2π/3  =  -120° = (360 - 120)°  = 240° = 60°

Put the value of -2π/3 in tan -2π/3, we get

tan -2π/3 =  tan (60)  = √3

7π/4 × 180/π  =  7 × (180/4)  =  7 × 45  =  315° =  45°

Put the value of 7π/4 in sin 7π/4, and we get

sin 7π/4 = sin (45°) = √2/2

sec (-π)  =  sec (π)  = -1

Now, substitute all the values in the given equation,

= {√3/(√2/2)} - (-1)

= (2√3/√2) + 1

= (2√3 × √2/√2 × √2) +1

= (2√6/2) + 1

= √6 + 1

--The given question is incorrect, the correct question is

''What is the exact value of the trigonometric expression? [tex]\frac{tan-(2\pi/3) }{sin(7\pi /4)} - sec(-\pi )[/tex] State your answer in simplified radical form."--

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Answer:

Slope = 47

Step-by-step explanation:

 Substitute the x and y coordinates in the formula and find the slope.

  (7 , 349 ) ;  x₁ = 7 ; y₁ = 349

  (2 , 114) ;  x₂ = 2 ; y₂ = 114

[tex]\sf \boxed{Slope=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

          [tex]\sf = \dfrac{114-349}{2-7}\\\\=\dfrac{-235}{-5}\\\\=47[/tex]

Answer: m=47

Step-by-step explanation:

                               [tex]\displaystyle\\The \ slope\ m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Given: (7,349)  (2,114)         Find: m

x₁=7       x₂=2      y₁=349      y₂=114

[tex]\displaystyle\\m=\frac{114-349}{2-7} \\\\\\m=\frac{-235}{-5} \\\\\\m=47[/tex]

Answer:

8x + 2y = 10  ==>  y = -4x + 5

12x - 3y = -25​  ==>  y = 4x + 25/3

Step-by-step explanation:

8x + 2y = 10  ==> solve for y

2y = 10 - 8x  ==> subtract 8x on both sides

(2y = 10 - 8x) / 2 ==> divide the equation by 2 to make 2y into y

y = 5 - 4x  ==> simplify

y = -4x + 5  ==> put the equation in y=mx+b form

12x - 3y = -25​  ==> solve for y

12x = -25 + 3y  ==> make y positive by adding 3y on both sides

12x + 25 = 3y ==> add 25 on both sides to isolate y

(3y = 12x + 25) / 3  ==> divide the equation by 3 to make 3y into y

y = 4x + 25/3 ==> simplify

Converted (a) 2.2 kg = 77.6 oz, 4.83 lbm. (b) 12 lbf/in2 = 82.7 kPa, 620.6 mmHg. (c) 160 hp = 119,360 cal/s, 88,000 Btu/s. (d) 82 gallons = 328 quarts, 313,981.8 mL. (e) 34 in = 0.8636 m, 86.36 cm.

What is conversion factor ?

A conversion factor is a ratio of two equivalent measurements used to convert a quantity from one unit to another.

(a) To convert 2.2 kg to ounces, we can use the conversion factor 1 kg = 35.274 oz. So, 2.2 kg = 2.2 * 35.274 oz = 77.6 oz. To convert 2.2 kg to lbm, we can use the conversion factor 1 kg = 2.205 lbm. So, 2.2 kg = 2.2 * 2.205 lbm = 4.83 lbm.

(b) To convert 12 lbf/in2 to kPa, we can use the conversion factor 1 lbf/in2 = 6.894 kPa. So, 12 lbf/in2 = 12 * 6.894 kPa = 82.7 kPa. To convert 12 lbf/in2 to mmHg, we can use the conversion factor 1 lbf/in2 = 51.715 mmHg. So, 12 lbf/in2 = 12 * 51.715 mmHg = 620.6 mmHg.

(c) To convert 160 hp to cal/s, we can use the conversion factor 1 hp = 746 cal/s. So, 160 hp = 160 * 746 cal/s = 119,360 cal/s. To convert 160 hp to Btu/s, we can use the conversion factor 1 hp = 550 Btu/s. So, 160 hp = 160 * 550 Btu/s = 88,000 Btu/s.

(d) To convert 82 gallons to quarts, we can use the conversion factor 1 gallon = 4 quarts. So, 82 gallons = 82 * 4 quarts = 328 quarts. To convert 82 gallons to mL, we can use the conversion factor 1 gallon = 3785.4 mL. So, 82 gallons = 82 * 3785.4 mL = 313,981.8 mL

(e) To convert 34 in to m, we can use the conversion factor 1 in = 0.0254 m. So, 34 in = 34 * 0.0254 m = 0.8636 m. To convert 34 in to cm, we can use the conversion factor 1 in = 2.54 cm. So, 34 in = 34 * 2.54 cm = 86.36 cm.

Converted (a) 2.2 kg = 77.6 oz, 4.83 lbm. (b) 12 lbf/in2 = 82.7 kPa, 620.6 mmHg. (c) 160 hp = 119,360 cal/s, 88,000 Btu/s. (d) 82 gallons = 328 quarts, 313,981.8 mL. (e) 34 in = 0.8636 m, 86.36 cm.

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A circle chart, often known as a pie chart, is a means to summarize a set of nominal data or a visual depiction of the many values of a particular variable (e.g. percentage distribution).

A circle is created in the plane by each point that is a specific distance from another point (center). Thus, it is a curve made up of points that are separated from one another by a defined distance in the plane. Additionally, it is rotationally symmetric about center at every angle. Every pair of vertices in a circle's closed, two-dimensional plane are evenly spaced apart from the "center." A circular symmetry line is made by drawing a line through the circle. Additionally, it is rotationally symmetric the about center at every angle.

Here,

The pie chart is divided into sectors and segments, and each sector and segment corresponds to a specific amount of the overall (percentage).

The data is a representation of 360°. The pie is always valued at 100% overall.

A pie chart is useful for organising and displaying data by percentage of the total.

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No, The number zero is neither positive nor negative.

Aryabhata, who is known as a great astronomer of the classic age of India was the one who invented the digit “0” for which he became immortal but later on is given to Brahmagupta.

The numbers to the right of zero on the number line are positive and those on the left side are negative.

Positive numbers are greater than 0 and located to the right of 0 on a number line. Negative numbers are less than 0 and are located to the left of 0 on a number line.

Positive and negative numbers are sometimes called signed numbers.

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Step-by-step explanation:

(a)

the line for time = 0 minutes starts at y (pounds of candy) = 40 pounds

(b)

as the line goes up, when the time goes up, it is clear that the function result (the amount of candy in the container) increases, as the time increases.

so, the second answer option is correct.

to find the rate of pound of candy per minute, we need to find the slope.

one unit on the coordinate grid in the time (x) direction is 1 minute.

one unit in the pounds of candy (y) direction is 40 pounds (0, 40, 80, 120, ...).

when we look at what corners of the coordinate grid units the line goes through (to find integer numbers of the function), we see that the line goes through e.g.

(0, 40)

(1, 160)

(2, 280)

...

we see that x anyways changes by +1, and y anyways charges by +120.

the slope is therefore +120/+1 = 120.

the increase rate of the amount of candy in the container is 120 pounds per minute

i) Joint density distribution function  is given as

f(x,y) =  1/2Πσ1σ2  exp[(-1)/2 {((x-µ1)^2)/(σ1^2)+ ((y-µ2))/(σ2^2)}]

ii) E(aX + bY + c) = aµx + bµy + c iii) E(X^2) = σx^2 + µx^2

We have been given that, X ~ N(µx , σx^2) and Y~ N(µy , σy^2)

and X and Y are independent that is

                                ρ = 0

Note that the joint density function of two normal distribution is known as bivariate normal distribution which is given as

   (X , Y) ~ BVN(µ1 , µ2 , σ1^2 , σ2^2 , ρ)

And whose joint density function is          

f(x,y)  =   1/(2Πσ1σ2√(1-ρ^2))  exp[(-1)/(2(1-ρ^2)) {((x-µ1)^2)/(σ1^2)-2ρ (x-µ1)(y-µ2)/σ1σ2+ ((y-µ2))/(σ2^2)}]

 Where ρ = correlation coefficient of (x,y)

i) Joint density function of given X and Y which follows

(X , Y) ~ BVN(µx , µy , σx^2 , σy^2 , 0) is given as

f(x,y) =  1/2Πσ1σ2  exp[(-1)/2 {((x-µ1)^2)/(σ1^2)+ ((y-µ2))/(σ2^2)}]

ii) E(aX + bY + c) = aE(X) + bE(Y) + c

                       = aµx + bµy + c

iii) E(X^2) = V(X) + [E(X)]^2      {V(X) = E(X^2) - [E(X)]^2}

           = σx^2 + µx^2

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The ordered set pairs (-2, 2), (-1, 2), (3, -1), (3, 1), (4, 11),

is not a function. Because one x value corresponds to two different y values.

Given a set of ordered pairs (-2, 2), (-1, 2), (3, -1), (3, 1), (4, 11),

Function is special relations that pair each member of set A (domain) with exactly one member of set B (codomain).

Discuss the options provided.

a. yes, because there are two x values that are the same that is 3. Then the statement is false, the value of x cannot be the same.

b yes, because every x value corresponds to exactly one y-value. Then the statement is false.

c. no, because two of the y-values are the same. Then the statement is false.

d. no, because one xvalue corresponds to two different y-values. Then the statement is true.

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Answer:

I find it best to view these equation in the slope-intercept form.

-7x - 5y = -1

Let's rearrange the terms to isolate the y and put the equation in the y=mx+b form

5y = -1 + 7x

y = -1/5 + (7/1)x

or y = +(7/1) x + -1/5

Here m, the slope, = 7/1

A line parallel to this line will have the same slope or 7/1

A line perpendicular to this line will have a slope that is the negative inverse of this slope, in other words -1/7

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Answer: The greater number is 3x

Step-by-step explanation:

As the problem states that one number is one third of another number, hence we can set up a proportion

x / (greater number) = 1/3

we can then cross multiply to find out the greater number.

x * 3 = greater number

so the greater number is 3x

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The Expression for greater number is x/3.

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

let the lesser number be x.

So, the one number is x.

Now, the another number is one third of one number.

So, the another number is 1/3 (x)= x/3

Hence, the expression is x/3.

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Answer:

[tex]\frac{1}{36}[/tex]

Step-by-step explanation:

For negative exponents, you get the original number and make it into its reciprocal, and then whatever power it is to, is the power the bottom number is to, so you get:

[tex]6^{-2} = \frac{1}{6^{2} }[/tex]

Which simplifies to:

[tex]\frac{1}{36}[/tex]

So, [tex]6^{-2}[/tex] in fraction form, is [tex]\frac{1}{36}[/tex].

Hope this helped!
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25 minutes. The time it would take to row across the lake is 15 minutes (1 km/4 km/hour = 0.25 hour), and the time it would take to walk around the lake is 10 minutes (1 km/6 km/hour = 0.1666 hour). Thus, the minimum amount of time necessary to cross the lake is 25 minutes (15 + 10).

1 km/4 km/hour = 0.25 hour (time to row across the lake)

1 km/6 km/hour = 0.1666 hour (time to walk around the lake)

Minimum amount of time necessary to cross the lake = 0.25 + 0.1666 = 0.4166 hour

0.4166 hour x 60 minutes/hour = 25 minutes

Sam can row across the lake in 15 minutes (1 km/4 km/hour = 0.25 hour) or walk around it in 10 minutes (1 km/6 km/hour = 0.1666 hour). The minimum amount of time necessary to cross the lake is 25 minutes (15 + 10), as this is the lowest total time to get from one side to the other.

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