Please help me with this question in the picture

The slope of the line tangent to the given function would be m= 2.

What is the slope of the function?

If the function f(x) is given then differentiation will give you the gradient or slope for the tangent at any point.

The given function is f(x) = x - sinx

Now differentiating the above function with respect to x.

                    f'(x) = 1 - cosx

Now put x = π, we get

                  Slope = 1 - cos(π)

                             = 1 - (-1)

                             = 1 + 1

                  Slope (m) = 2.

Hence, the slope of the line tangent to the given function would be m= 2.

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Answer:175

Step-by-step explanation:

Answer:

[tex]\huge{\boxed{2 \text{ units}}}[/tex]

Step-by-step explanation:

N.B. I attached an image of the number line as presented by the problem.

The absolute value of a number is its distance from zero.  A simple way to say that is that the absolute value of a number is the number made positive and is denoted by "||"

i.e.

|-4| = 4

|4| = 4

|-219| = 219

The distance between two points on a number line is the absolute value of their difference.  Thus, simply do:

|5 - 3|

|2|

2

OR

|3 - 5|

|-2|

2

Thus, the length of the segment is simply 2.

Hope it helps :) and let me know if you want me to elaborate.

Step-by-step explanation:

Kayden's math teacher said that each question answered correctly on a test would be worth 7 points. Answer the questions below regarding the relationship between the number of questions correct and the score on the test.

Since 00 questions correct gets you 00 points on the test, the function will have a yy-intercept of 0.0.

The rate at which points are earned is 7 points per question, so the slope of the function should be 7.7.

\text{Function Rule:}

Function Rule:

V(x)=7x

V(x)=7x

Plug x=11 Into Rule:

V(11)=7(11)=77

Correct Answer:

The independent variable, x, represents the number of questions correct, and the dependent variable is the score on the test, because the score on the test depends on the number of questions correct.

A function relating these variables is V(x) =V(x)= 7x7x.

So V(11) =V(11)= 7777, meaning 1111 questions correct will earn 7777 points on the test

Answer: 11^2, 5^3, 2^7

Step-by-step explanation:

11^2= 121

5^3= 125

2^7= 128

Answer:

[tex]f(10) = 103[/tex]

Step-by-step explanation:

f(x) = 3+10x

when x is 10, we have

3+10*10

= 103

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Step-by-step explanation:

it is simple : it always has to be the corresponding side of the other triangle. all sides must have the same scaling factor.

d/p = e/q = f/r

d/e = p/q

e/f = q/r

f/d = r/p

The equations that go with the statements are; e/f = q/r and f/d = r/p

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

The relations between variables, either direct or inversely proportional, can be built to find the desired measures in the problem.

We want the different ways sides of similar triangles can be shown as proportional.

Corresponding sides

From shorter to longer, the corresponding sides in similar triangles are ...

Smaller ... Larger

 b . . . . . . . e

 a . . . . . . . d

 c . . . . . . . f

d/p = e/q = f/r

d/e = p/q

e/f = q/r

f/d = r/p

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Answer:

4.6

Step-by-step explanation:

298 divided by 65=4.58....

After solving the equations it will the infinite solutions, then it is a consistent system.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations.

A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.

As per the given information in the question,

The equations are,

y = -x + 1  (i) and,

2y = -2x + 2  (ii)

Divide equation (ii) by 2

y = -x + 1 (iii)

Solve equation (i) and (iii)

The value of x and y will be 0 which means that it has infinite solution, then it is a consistent system.

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The value of x in the figure is 5√3.

What is the trigonometry?

Trigonometry is the study of angles and the angular relationships between planar and three-dimensional shapes. The cosecant, cosine, cotangent, secant, sine, and tangent are among the trigonometric functions (also known as the circle functions) that make up trigonometry.

What does cos 30 mean?

The trigonometric function "Cosine" is denoted by the notation "Cos." The definition of cosine is the ratio of a right-angle triangle's hypotenuse to base length (the longest and slant side). Cos (x), where x is the angle formed by the two sides, equals base/hypotenuse, or b/h.

What is the formula of Cos 30?

Cos 30° = √3/2

3/2 is the value of Cos 30°, which is a trigonometric ratio or trigonometric function of a specific angle. The exact value of cos 30 degrees is expressed as 0.8660 roughly.

Cos 30°= b/h

√3/2 = x/10

X= √3/2 × 10

X= 5√3

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Answer: x= 38/11

Step-by-step explanation: x-12x-14=24

-11x-14=24

Add 14 to both sides

simplfy

-11x=38

Divide both sides by the same factor

x=11-38/11

Answer:

3

Step-by-step explanation:

Answer:

Hope this helps, Good Luck! :)

Step-by-step explanation:

EV = - + prob(win)*win

= -5 + 1/1000 * 375

=  -4.62

The requried, the expected value for a person that buys one ticket is approximately -$4.62. The correct answer is option A. -$4.62.

To calculate the expected value, we need to consider the probability of winning the color television and the corresponding value of the prize. We can then subtract the cost of buying the ticket to find the expected value.

Given:

Cost of one ticket = $5

Value of the color television (prize) = $375

Number of tickets sold = 1000

The probability of winning the color television is 1 out of 1000, as only one ticket will be selected out of the total 1000 tickets sold.

Expected Value (EV) = (Probability of winning * Value of prize) - Cost of the ticket

EV = (1/1000 * $375) - $5

EV = $0.375 - $5

EV = -$4.625

Rounded to two decimal places, the expected value for a person that buys one ticket is approximately -$4.62. The correct answer is option A. -$4.62.

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Given the rate at which the zookeeper is giving the animals hay and grain, on which day will she have the same amount of grain and hay remaining is 6 days.

Every three days, one pound of hay and one pound of feed are used.

10 pounds of grain and 8 pounds of hay are present.

There are 6 pounds of hay and 6 pounds of grain left on the sixth day.

A rate in mathematics is the comparison of two related values expressed in different units.

The numerator of the ratio indicates the rate of change in the other (dependent) variable if the denominator of the ratio is written as a single unit of one of these quantities, and if it is assumed that this quantity may be modified systematically (i.e., is an independent variable).

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The total number different groups of four subjects are possible are 4845 ways.

The formula for the combination is-

ⁿCr = n!/r!(n - r)!

We are wondering in how many distinct options there are to choose 4 subjects out of 20;

n = 20

r = 4.

Sequence is not important because the topics can be arranged in any order and still form the same group, hence we must use a combination:

Review the combination's definition:

²⁰C₄ = 20!/4!(20 - 4)!

²⁰C₄ = 20!/4!16!

²⁰C₄ = 4845

Thus, the total number of different groups four subject groupings is 4845.

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The equation (7 × 10) + (7 × 10%) + (7 × 10²) = 700 070.07 can be rewritten as:

7x + 0.7y + z = 700 070.07

To find a set of values for x, y, and z that satisfies this equation, we can use trial and error. One possible set of values is:

x = 100

y = 10

z = 7000

If we plug these values into the equation, we get:

(7 × 100) + (7 × 0.1) + (7 × 7000) = 700 070.07

Which simplifies to:

700 + 0.7 + 49000 = 700 070.07

This equation is true, so the values x = 100, y = 10, and z = 7000 are a solution to the original equation.

Therefore, the value of "s" that satisfies the given equation three more than the difference of 6s and 5s is equal to the sum of 12 and 6. is 15/4.

A linear equation is one where the variable's maximum power is 1. To put it another way, a linear equation is one that has the form axe + b = 0, where a and b are constants and x is the variable.

The speed of an item travelling straight forward or the pace at which a population is increasing are two examples of real-world scenarios that are equal to the frequently modelled using linear equations. They are rather easy to resolve, and the answers may be obtained by applying fundamental algebraic strategies such isolating the variable and running calculations on both sides of the problem.

In several disciplines, including physics, engineering, and economics, linear equations are used extensively.

How to solve?

Let "s" be the unknown value that we are trying to find.

3 + (6s - 5s) = 12 + 6

3 + (6s - 5s) = 12 + 6

3 + 1s = 18

4s = 15

s = 15/4

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Answer:

(x+6)^2 + (y-8)^2 = 10^2

or

(x+6)^2 + (y-8)^2 = 100

Step-by-step explanation:

Equation of a circle in standard form: (x-h)^2 + (y-k)^2 = r^2

(h,k) represent the center of the circle

h = -6

k = 8

r = the length of the radius

10^2 = 100

According to the given information 62% of its original price was a dress sold.

A % is a quantity or ratio that, in mathematics, representing a portion of one hundred. A non - dimensional connection between two numbers can be represented in a variety of ways, such as through ratios, fractions, as well as decimals. The sign "%" is frequently put after the number to indicate percentages.

Each dress price = $76

If Original price = $200

Formula = (price difference/ original price)100

Prince deference = 200-76 = $124

In percentage :

[tex]\left(\frac{124}{200}\right) \times 100[/tex]

= 12400/200

= 62%

Thus the final answer is 62% .

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Answer:it's 16 or 4 I can't confirm

Step-by-step explanation:

Dividing 1.25 by 1: 1.25 / 1 = 1.25

Dividing 1.25 by 5: 1.25 / 5 = 0.25

Dividing 1.25 by 8: 1.25 / 8 = 0.15625

Dividing 1.25 by 10: 1.25 / 10 = 0.125

The annual percentage yield (APY) for the investment $8000 at 5.75% compounded daily is; 5.918%

The Annual percentage yield(APY) is defined as the amount of interest you'll earn in one year from a savings account.

Annual percentage yield (APY) is calculated by the usage of the formula;

APY= (1 + r/n )ⁿ – 1

Where;'

r is the said annual interest rate

n is the variety of compounding intervals every year.

Thus, we are given;

r = 5.75% = 0.0575

n = 365 days

Thus;

APY= (1 + (0.0575/365 )³⁶⁵ – 1

APY = 5.918%

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Answer:

largest number= 9754

smallest number = 4579

Step-by-step explanation:

largest number - 9754

9 is the larger number in 5,7,4,9

7 is the second largest

so you basically count it backwards

smallest number=4579

4 is the smalleat number in 5,7,4,9

so you basically count forward

Answer:

$4047.75

Step-by-step explanation:

If each helmet costs $89.95 and there are 45 of these helmets, you would multiply $89.95 x 45. Plug this into a calculator and you get $4047.75.

Answer:

Step-by-step explanation:

2/5

The most negative number corresponds to the variable that has the largest impact on the Value of the objective function. So, maximizing it first is most efficient.

What is pivot column in simplex method?

The Simplex method's pivot column is selected by the fundamental variable's biggest reduced cost coefficient. 4. The highest ratio of right side parameters to positive coefficients in the pivot column determines the pivot row in the Simplex approach.

A location of a leading entry in the matrix's echelon structure. A pivot is a non-zero number that is either transformed into a leading 1 and then used to make 0s, or it is utilized in a pivot position to create 0s.

The element of a matrix or array chosen first by an algorithm (such as Gaussian elimination, simplex algorithm, etc.) to do particular computations is known as the pivot or pivot element.

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Answer:

x<5

Step-by-step explanation:

2x-7+3x+10>x-6+8x-11

5x+3>9x-17

5x-9x>-17-3

-4x>-20

x<5

Answer:

x < 5

Step-by-step explanation:

step 1: simplify both sides of the inequality.

5x + 3 > 9x − 17

step 2: subtract 9x from both sides.

5x + 3 − 9x > 9x − 17 − 9x − 4x + 3 > − 17

step 3: subtract 3 from both sides.

−4x + 3 − 3 > − 17 −3 − 4x > − 20

step 4: divide both sides by -4.

-4x/-4 > -20/-4

x < 5

I believe that x²y²/((y+x)(y+x)) is identical to (1/x-1/y)/(1/x+1/y) based on the expression above.

An expression, also known as a mathematical expression, is a finite combination of symbols that are well-formed in accordance with context-dependent rules. Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: (Number/variable, Math Operator, Number/variable) is an expression.

Here,

Expression:

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

Option:

=((y+x)/(y-x))

=((y-x)(y+x))/x²y²

=x²y²/((y+x)(y+x))

=(y-x)/(y+x)

From the above expression, I think x²y²/((y+x)(y+x)) is equivalent to (1/x-1/y)/(1/x+1/y).

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Answer: aka (D) edg 2023

Step-by-step explanation:

trust ^.^  hoped this helped

Answer:

16b2-56b+49

Step-by-step explanation:

hope this helps

Answer:

x = 20

Step-by-step explanation:

the 3 unknown angles form a right angle and sum to 90° , that is

x + 2x + x + 10 = 90

4x + 10 = 90 ( subtract 10 from both sides )

4x = 80 ( divide both sides by 4 )

x = 20

Answer:

Step-by-step explanation:

From the picture we know that x + 2x + x + 10 = 90°

x + 2x + x + 10 = 90

4x = 80

x = 80 : 4

x = 20°

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

check

20 + 2 x 20 + 20 + 10 = 90

90 = 90

the answer is good

The correct justification for the given steps are;

Step 1; Addition property of equality.

Step 2; Subtraction property of equality.

Step 3; Division property of equality.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

For the given condition,

⇒ 200 + 20w = - 100 + 25w

Where, 'w' is number of weeks.

Now,

Since, For the given condition,

⇒ 200 + 20w = - 100 + 25w

Where, 'w' is number of weeks.

Solve for w as;

⇒ 200 + 20w = - 100 + 25w

Apply Addition property of equality,

⇒ 200 + 20w + 100 = - 100 + 25w + 100

⇒ 300 + 20w = 25w

Apply Subtraction property of equality,

⇒ 300 + 20w - 20w = 25w - 20w

⇒ 300 = 5w

Apply Division property of equality,

⇒ 300/5 = 5w/5

⇒ 60 = w

⇒ w = 60

Thus, The correct justification for the given steps are;

Step 1; Addition property of equality.

Step 2; Subtraction property of equality.

Step 3; Division property of equality.

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