how to find the equation of the line tangent ?

The correct answer is (c) x's tens digit. , if x = 693, that  yield  9 is (x / 10) % 10

Here's how we have to evaluate the expression:

Substitute x = 693 into the expression to get:

(693 / 10) % 10

Perform the division first:

693 / 10 = 69 with a remainder of 3.

Substitute the result of the division into the expression:

(69 % 10)

To Evaluate the remainder use the modulo operator (%):

69 % 10 = 9

The result, 9, is the tens digit of 693.

=(x / 10) % 10.

The tens digit of a number refers to the digit in the second place from the right, or the digit that represents the multiple of 10. For example, in the number 365, the tens digit is 6 because it represents 6 tens or 60.

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The value of temperature 75degrees Fahrenheit converted to Celsius is 23.89 degrees Celsius.

To convert 75 degrees Fahrenheit to Celsius, you can use the formula

(F - 32) x 5/9.

Here's how to use this formula:

Subtract 32 from 75: 75 - 32 = 43

Multiply 43 by 5/9: 43 x 5/9 = 23.89

So 75 degrees Fahrenheit is equivalent to 23.89 degrees Celsius. To remember this formula easily, you can use the mnemonic "Fahrenheit to Celsius, subtract 32, then divide by 1.8".

This is a useful formula to know if you're traveling internationally or working with scientific data that uses Celsius instead of Fahrenheit.

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Jerome can save an amount of R33377.27 per month which is the larger amount.

A ratio is a quantitative or qualitative connection between two things: "On the building site, the male-to-female ratio was 10 to one." This indicates there were 10 males and one lady present.

Here

He earns R52450 per month

He separated his earnings in a ratio 7: 4

If he saves a larger amount, then the required solution would be as:

⇒ 52450 × 7/(7+4)

⇒ 52450 × 7/11

Apply the multiplication operation, and we get the amount of savings:

⇒ 33377.27

Therefore, he can save an amount of R33377.27 per month.

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The decimal equivalent of 5/3 is 1.666666667.

When we write a decimal, we use a decimal point to separate the whole number part from the fractional part.

The digits to the right of the decimal point represent fractions of a whole. The decimal 0.25 represents 25/100 or 1/4, while the decimal 0.5 represents 50/100 or 1/2.

In general, we can convert any fraction to a decimal by dividing the numerator by the denominator.

To convert 5/3 to a decimal, we need to divide 5 by 3. When we perform this division, we get 1.666666667. This is a repeating decimal, meaning that the number 6 repeats indefinitely after the decimal point.

In general, whenever you divide one integer by another, you will either get a finite decimal (like 0.5 or 0.75) or a repeating decimal (like 0.3333 or 0.142857). In some cases, the decimal may terminate, meaning that it stops after a certain number of decimal places. For example, 1/4 is equal to 0.25, which is a terminating decimal.

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The solution set of the system of linear inequalities is the shaded region.

What is the system of linear inequalities?

A system of linear inequalities is a set of two or more linear inequalities that involve the same variables. Linear inequalities are mathematical statements that compare two expressions using the inequality symbols (<, >, ≤, or ≥) and indicate that one expression is less than or greater than another.

A system of linear inequalities can be represented graphically as a collection of shaded regions on a coordinate plane. The solution set of the system is the intersection of all shaded regions that satisfy all the inequalities in the system.

To find the solution set of the system of linear inequalities:

y < 3 + (1/2)x

y > 6 - (2/3)x

We can start by graphing each inequality on the same coordinate system. To do this, we can start by finding the x and y-intercepts of each inequality.

For the first inequality, y < 3 + (1/2)x, we can set x = 0 to find the y-intercept:

y < 3

So the y-intercept is at (0, 3).

Next, we can set y = 0 to find the x-intercept:

0 < 3 + (1/2)x

-3 < (1/2)x

-6 < x

So the x-intercept is at (-6, 0).

We can plot these points and draw a dashed line connecting them, since the inequality is strict (y < 3 + (1/2)x):

Attachment 1

For the second inequality, y > 6 - (2/3)x, we can set x = 0 to find the y-intercept:

y > 6

So the y-intercept is at (0, 6).

Next, we can set y = 0 to find the x-intercept:

0 > 6 - (2/3)x

6 > (2/3)x

9 > x

So the x-intercept is at (9, 0).

We can plot these points and draw a dashed line connecting them, since the inequality is strict (y > 6 - (2/3)x):

Attachment 2

Now, we need to determine which region of the graph satisfies both inequalities. We can do this by testing a point in each region. For example, we can test the point (0,0):

y < 3 + (1/2)x is true, since 0 < 3 + (1/2)(0)

y > 6 - (2/3)x is false, since 0 > 6 - (2/3)(0)

Therefore, the region below the first line but above the second line satisfies both inequalities. We can shade this region:

Attachment 3

So the solution set of the system of linear inequalities is the shaded region.

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The ordered pair (0,1) is not a solution to the inequality, as the line is dashed, meaning that points exactly on the line are not solutions to the inequality.

The general format of an ordered pair is given as follows:

(x,y).

For the ordered pair (0,1), we have that the coordinates are given as follows:

Hence the point is exactly at y = 1 on the y-axis, where the line crosses the y-axis. However, the line is dashed, meaning that it is not part of the solution.

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If functions h(x)= f(x)+g(x), the point (2, 2) is on h(x) and The point (–2, 0) is on h(x).

In mathematics, a function is a rule or a set of rules that assigns a unique output to each input of a given set of inputs. It is a type of mapping or transformation in which each member of one set (the inputs) is associated with a unique member of another set (the outputs). Functions are often represented by equations or graphs, and they can be used to describe relationships between different variables.

For example, the equation y = x2 describes the function that assigns to each number x its square y.

The point (2, 2) is on h(x) since h(x) = f(x) + g(x) = 2 + 0 = 2. The point (–2, 0) is on h(x) since h(x) = f(x) + g(x) = 0 + 0 = 0. The point (0, –3) is not on h(x) since h(x) = f(x) + g(x) = 0 + 2 = 2, which does not equal –3.

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Answer:

i believe its C

Sorry if its wrong

Step-by-step explanation:

Answer:

(C) 1/6 + 3/6

Step-by-step explanation:

If you want to add fractions all you do is add them across to get your sum.

Answer:

here are signs for (A), (B) and (C) hope this helps :)

Step-by-step explanation:

(a) The signs of two rational numbers whose sum is positive can be either both positive or both negative. If the signs are different, the absolute value of one number is greater than the absolute value of the other.

Example:

1/2 + 3/4 = 1/4 (positive sum, both numbers are positive)

-2/3 + 4/5 = 2/15 (positive sum, both numbers are negative)

(b) The signs of two rational numbers whose product is positive can be either both positive or both negative.

Example:

1/3 * 4/5 = 4/15 (positive product, both numbers are positive)

-2/7 * -3/4 = 3/14 (positive product, both numbers are negative)

(c) The signs of two rational numbers whose quotient is positive can be either both positive or both negative.

Example:

2/3 ÷ 1/4 = 8/3 (positive quotient, both numbers are positive)

-5/6 ÷ -2/3 = 5/4 (positive quotient, both numbers are negative)

Linear Interpolation Calculator is a free online tool that shows the interpolated point for specific coordinates, also termed as online calculator.

It allows users to interpolate (interpolation is a mathematical technique for estimating any value between two known points) data points between the sets(two sets) of points or coordinates.

Take the two known points and calculate the value of the point that lies between them. This has been used in as many engineering applications as estimating the value of a point on a graph or table. This calculator helps in estimating the value of a point that lies between two known points on a line.

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Answer: Here is the answers to your previous question that was deleted. As for this question, I believe the answer is the first one.

1) [tex]200\pi[/tex]
2) [tex]3\sqrt{3}[/tex]  
3) [tex]-1[/tex]  
4) 9  
5) 0.151

Step-by-step explanation:

#1

[tex]=\frac{dV}{dt} =\frac{4}{3} \pi .3r^3\frac{dr}{dt}[/tex]

[tex]=\frac{dV}{dt} =4\pi r^2\frac{dr}{dt}[/tex]

[tex]=\frac{dV}{dt} =4\pi r^2*2...[\frac{dr}{dt} =2][/tex]

[tex]=\frac{dV}{dt} = 8\pi r^2~~~ in^3/min[/tex]

         [tex]r=5[/tex]

[tex]=\frac{dV}{dt} =8\pi (5)^2[/tex]

[tex]=200\pi ~~~in^3/min[/tex]

#2

[tex]\frac{d}{dt} (x^2+y^2)=\frac{d}{dt} (16)[/tex]

[tex]2x(\frac{dx}{dt} )+2y(\frac{dy}{dt})=0[/tex]

[tex]2x(\frac{dx}{dt} )+-2y(\frac{dy}{dt})=0[/tex]
Divide both sides by 2.

[tex]x(\frac{dx}{dt})=-y(\frac{dy}{dt})[/tex]

[tex]\frac{dx}{dt}=\frac{-y(\frac{dy}{dt}) }{x}[/tex]

As the particle is passing through the point [tex](2,2\sqrt{3})[/tex] , So, the point will satisfy the equation. Substituting the value of [tex]x=2[/tex] , [tex]y=2\sqrt{3}[/tex] and [tex]\frac{dy}{dt} -3[/tex],

we get ,

[tex]\frac{dx}{dt} =\frac{((-2\sqrt{3})*(-3))}{2}[/tex]

[tex]=\frac{6\sqrt{3} }{2}[/tex]

[tex]=3\sqrt{3}[/tex]

#3

Go on to Desmos and put in [tex]x+3y=6[/tex] and look at x=0 and x=1 and use those two as your points.

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]=\frac{1-3}{2-0}[/tex]

[tex]=\frac{-2}{2}[/tex]

[tex]=-1[/tex]

#4

[tex]y=3x^2-4x-6[/tex]

[tex]\frac{dy}{dt} =5x-6[/tex]

[tex]\frac{dy}{dt}=5(3)-6[/tex]

[tex]\frac{dy}{dt} =9[/tex]

#5

[tex]V=s^3[/tex]

[tex]\frac{dV}{dt} =3*s^2(\frac{ds}{dt})[/tex]

[tex]-2=3*s^2(\frac{ds}{dt} )~~~~~~~~~~~~~Equation 1[/tex]

[tex]\frac{ds}{dt} =\frac{1.33}{s^2}[/tex]

[tex]V=s^3[/tex]

[tex](27)^0^.^3^3=(s^3)^0^.^3^3[/tex]

[tex]s[/tex] ≈ [tex]2.97 ~~~~~~~~~~~~~~~~~~~~~~Equation2[/tex]

Substitute equation2 to equation1, we get

[tex]\frac{ds}{dt} =\frac{1.33}{(2.97)^2} =0.151[/tex]

I hope this helps you! Cheers! ^^

Answer: If N is an integer and -2, then the possible values of N are:

N = -2

In other words, the only possible value of N is -2, since the problem statement states that N is equal to -2.

Step-by-step explanation:

Therefore , the solution of the given problem of function comes out to be is that the function approaches negative infinity as x approaches positive or negative infinity.

The mathematics curriculum covers the study of number and their variable as well as our surroundings, architecture, and both actual and hypothetical locations. The link between the amounts of inputs as well as the associated outputs for each is shown graphically by a function. A function is, to put it simply, a group of inputs whose, when combined, result in particular outputs for every input. Each role is assigned a region, locale, or range .

Here,

Given :

f(x) = -x² + 14x³ - 24x⁷ - 10x¹² + 22x⁴ - 18x¹¹ + 4x⁴  +21

To describe the end behavior of the given polynomial function f(x), we only need to consider the term with the highest degree, which is - 10x¹²

Since the degree of the term is even and the coefficient is negative, we know that as x approaches positive or negative infinity, the function will also approach negative infinity.

Therefore, we can say:

As x to -∞, f(x)  to - ∞

As x to +∞, f(x) to-∞

So the end behavior of the function

f(x) = -x² + 14x³ - 24x⁷ - 10x¹² + 22x⁴ - 18x¹¹ + 4x⁴  +21

is that the function approaches negative infinity as x approaches positive or negative infinity.

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Answer:

Below

Step-by-step explanation:

Radians =  degrees * pi /180

Radians * 180/pi   =  degrees

The exponential function that defines the number of teams remaining after n rounds is given as follows:

y = 64(0.5)^x, 0 ≤ x ≤ 6.

The standard definition of an exponential function is given as follows:

y = a(b)^x + c.

In which:

The initial number of teams is of 64, hence the parameter a is given as follows:

a = 64.

Each round, the number of teams is cut by half, as the losers of each game are eliminated, hence the parameter b is given as follows:

b = 0.5.

Hence the function is defined as follows:

y = 64(0.5)^x.

The domain is 0 ≤ x ≤ 6 as:

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The probability of A given B is 0, and P(A | B) is not equal to P(A). Events A and B are mutually exclusive, meaning that they cannot both occur at the same time, and thus they are not independent. Mutually exclusive events are not necessarily independent and independent events may or may not be mutually exclusive.

P(A) = 0.30 and P(B) = 0.40, so P(A and B) = 0 because the events A and B are mutually exclusive. This means that the probability of A given B is 0, and P(A | B) = 0. P(A | B) is not equal to P(A).Events A and B are mutually exclusive, meaning that they cannot both occur at the same time, and thus they are not independent.The statement that mutually exclusive events and independent events are the same is not accurate. Mutually exclusive events are not necessarily independent and vice versa.Given the results of this problem, we can conclude that mutually exclusive events are not independent, and independent events may or may not be mutually exclusive. The two concepts are not necessarily related as mutually exclusive events do not necessarily need to be independent and independent events do not necessarily need to be mutually exclusive.

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Answer:

5n+32a=5

Step-by-step explanation:

.

Answer:

Step-by-step explanation:

If 1in is equal to 47 feet irl, then that means that the actual width is 47ft and the actual length is 94ft.

Multiply those two together and you get 4,418 sq ft as your answer.

Sergio observes thickening and discoloration of the nail of the Index finger. His doctor diagnosed Sergio with a nail infection. Sergio is most likely suffering from a fungal infection.

Fungal infections are also called as mycosis. They are usually caused by different species of fungi.Fungal infections that cause thickening and discoloration of nails, a condition known as onychomycosis.

Onychomycosis is a fungal infection of the nail. It is a common condition that affects both fingernails and toenails. The infection typically starts at the tip of the nail and then spreads towards the base. Fungal infections of the nail can cause the nail to thicken, become brittle and discolored, and can also cause separation of the nail from the nail bed.

Fungal infections of the nail are typically caused by dermatophytes, but other types of fungi can also be responsible. The diagnosis includes laboratory tests, and treatment may include antifungal medication.Therefore, the correct word is fungal.

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The question is incomplete, but most probably the complete question is,

Type the correct answer in the box. Spell all words correctly.

Fill in the box with one of the following words: bacterial, fungal, parasitic, protozoan, viral.

Sergio observes thickening and discoloration of the nail of the Index finger. His doctor diagnosed Sergio with a nail infection. Sergio is most likely suffering from a/an _______ infection.

Answer:

The solutions to the equation f(x) = g(x) to the nearest hundredth are x ≈ 1.76 and x ≈ 7.85.

Step-by-step explanation:

f(x) = 0.15x³ - 2x² + 7x - 3.3

g(x) = 1.5|x - 7.3|

To solve the equation, we can set the two functions equal to each other and then solve for x:

0.15x³ - 2x² + 7x - 3.3 = 1.5|x - 7.3|

We can split this equation into two cases, depending on the sign of x - 7.3:

Case 1: x - 7.3 ≥ 0

In this case, we have:

0.15x³ - 2x² + 7x - 3.3 = 1.5(x - 7.3)

0.15x³ - 2x² + 7x - 3.3 = 1.5x - 10.95

0.15x³ - 2x² + 5.5x + 7.65 = 0

We can solve this cubic equation by using numerical methods, such as the Newton-Raphson method or the bisection method. One solution to this equation is x ≈ 1.76.

Case 2: x - 7.3 < 0

In this case, we have:

0.15x³ - 2x² + 7x - 3.3 = -1.5(x - 7.3)

0.15x³ - 2x² + 7x - 3.3 = -1.5x + 10.95

0.15x³ - 2x² + 8.5x - 14.25 = 0

Again, we can solve this cubic equation by using numerical methods. One solution to this equation is x ≈ 7.85. Therefore, the solutions to the equation f(x) = g(x) to the nearest hundredth are x ≈ 1.76 and x ≈ 7.85.

Answer:

x = -4.05, x = 2.15, and x = 4.96.

Step-by-step explanation:

To find the solutions to the equation f(x) = g(x), we need to substitute the expressions for f(x) and g(x) and solve for x.

0.15x³ - 2x² + 7x - 3.3 = 1.5x - 7.3

0.15x³ - 2x² + 5.5x + 3 = 0

We can solve this equation using numerical methods, such as graphing or using a calculator, to find the solutions to two decimal places. One possible method is to use a graphing calculator and graph the function y = 0.15x³ - 2x² + 5.5x + 3, and then use the intersect function to find the x-values where the function intersects the line y = 1.5x - 7.3.

Using this method, we find that there are three solutions to the equation, to the nearest hundredth: x = -4.05, x = 2.15, and x = 4.96.

Therefore, the solutions to the equation f(x) = g(x) to the nearest hundredth are x = -4.05, x = 2.15, and x = 4.96.

The equation of the axis of symmetry for the parabola is x = 2.

What is the axis of symmetry?

The object's shape is symmetrical because of the axis of symmetry, which is a straight line. On each of its sides, the axis of symmetry produces an exact reflection. It might be lateral, vertical, or horizontal. The two sides of an object are the same if we fold and unfold it along the axis of symmetry. Different shapes have various symmetry lines. There are four lines of symmetry in a square, two lines in a rectangle, infinite lines in a circle, and no lines of symmetry in a parallelogram. There are n axes of symmetry in a regular polygon with n sides.

Given equation of the parabola is

y = 2/3 (x - 2)² - 5

The general form of a parabola is y = a(x - h)² + k.

The vertex of the parabola is (h,k).

The equation symmetric axis is x = h.

Now compare the equation y = 2/3 (x - 2)² - 5 with y = a(x - h)² + k:

a = 2/3, h = 2, k = -5

The equation of the axis of symmetric is x = 2.

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The number of ways two names can be chosen from 76 in a raffle where only one entry is allowed is 3,025.

This can be calculated by using the combination formula: nCr = n!/(r!(n-r)!), where n is the total number of names (76) and r is the number of names to be chosen (2). The calculation for the same is written out below:

nCr = 76!/(2!(76-2)!)

= 76!/(2!*74!)

= 3,025.

This means that there are 3,025 possible combinations of two names that can be chosen from the 76 names if only one entry is allowed per person.

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The capital letter H has 2 reflectional symmetry and 2 rotational symmetry.

A figure has reflectional symmetry if it can be reflected across a line and still look the same. For the capital letter H, there is two lines of symmetry, which is the vertical line and horizontal line that divides the letter into two equal halves. Reflecting the letter across this line produces the same letter. So, the H has only 2 reflectional symmetries.

A figure has rotational symmetry if it can be rotated by some angle and still look the same. For the capital letter H, if we rotate it 180 degrees and 360 degrees about the center point of the letter, it will look the same. There is no other angle of rotation that produces the same letter. Therefore, the H has only 2 rotational symmetries.

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--The question is incomplete, answering to the question below--

"How many reflectional symmetries does this figure have?

Enter your answer

___ reflectional symmetries

How many rotational symmetries does this figure have?

Enter your answer

___ rotational symmetries"

The required converting value into kilograms of the given 116 pounds is equal to 52.62 kilograms ( round up to two decimals ) .

Converting factor used to convert pounds to kilograms is equal  to:

1 pound = 0.453592 kilograms

Now to get the value of 116 pounds we have,

116 pounds = 116 × converting factor

Substitute the value of converting factor we have,

⇒ 116 pounds = 116 × 0.453592 kilograms

⇒ 116 pounds = 52.6167 kilograms

⇒ 116 pounds = 52.62 kilograms ( round up to two decimals )

Therefore, the converted values of the required 116 pounds is equal to 52.62 kilograms ( round up to two decimals ) .

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Answer:

6

Step-by-step explanation:

∆ABC is congruent with ∆BDE

so BD/BA = DE/AC

=> 8/(8 + 16) = x/18

8/24 = x/18

24x = 8(18)

24x = 144

x = 144/24 = 6

Answer: X =  6

Step-by-step explanation:

Since the triangles are congruent (similar), then

8/24   =   X/18

Cross Multiply

X x 24  =  8 x 18

24X =  144

X =  144/24

X =  6

The benefit of doing so is: If the teenager has earned less than $12,000 then they don't get the federal taxes withheld. It would be beneficial to the teen because they would get more money.

A teen might want to claim exemption from federal income taxes being withheld from their paycheck if they expect to earn less than the standard deduction amount for the tax year and they will not owe any federal income tax.

For the tax year 2022, the standard deduction amount for a single taxpayer who is not claimed as a dependent on another taxpayer's return is $12,950.

By claiming exemption from federal income taxes, the teen would have more money in their paycheck and would not have to wait to receive a tax refund when they file their tax return at the end of the year.

However, if the teen ends up earning more than the standard deduction amount or if they have other sources of taxable income, they may owe federal income tax and may have to pay a penalty for not having enough taxes withheld during the year.

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The length of 75cm converting to inches is 29.53 inches.

The inch is a unit of length commonly used in the United States, the United Kingdom, and some other countries. It can be calculated by using the conversion factor of 1 inch being equal to 2.54 centimeters.

Understanding conversions between different units of measurement is crucial in various fields such as science, engineering, and mathematics. Therefore, to convert centimeters to inches, we need to divide the number of centimeters by 2.54.

In this case, 75 cm divided by 2.54 results in 29.53 inches.

The length of 75 cm is equivalent to approximately 29.53 inches.

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The coordinates of point V are approximately (0.11, 0.16) to two decimal places.

What is the coordinate point?

The Cartesian coordinates (also called rectangular coordinates) of a point are a pair of numbers (in two dimensions) or a triplet of numbers (in three dimensions) that specified signed distances from the coordinate axis.

Let's call the coordinates of point V (x, y).

According to the problem, point V divides the segment RL in a 3:2 ratio. This means that the distance from R to V is three-fifths of the distance from R to L, and the distance from V to L is two-fifths of the distance from R to L.

We can use the distance formula to find the distance between R and L:

d(R, L) = √[(4 - (-2))² + (1 - 4)²] = √[(6)² + (-3)²] = √(36 + 9) = √45

To find the coordinates of V, we can use the fact that the distance from R to V is three-fifths of the distance from R to L:

d(R, V) = (3/5) * d(R, L) = (3/5) * √45

We can also use the midpoint formula to find the coordinates of the midpoint M of the segment RL:

M = ((-2 + 4)/2, (4 + 1)/2) = (1, 2.5)

Since V divides the segment RL in a 3:2 ratio, we can write:

d(R, V) / d(V, L) = 3/2

Substituting the expressions for the distances, we get:

[(3/5) * √45] / d(V, L) = 3/2

Solving for d(V, L), we get:

d(V, L) = [2 * (3/5) * √45] / 3 = (2/5) * √45

Now we can use the midpoint formula again to find the coordinates of V:

V = (1 + (2/5) * √45)(4, 1) + (1 - (2/5) * √45)(-2, 4)

Simplifying, we get:

V = (1 - (2/5) * √45, 2.5 - (3/5) * √45)

Therefore, the coordinates of point V are approximately (0.11, 0.16) to two decimal places.

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The equation is given by 5n + 100n = 210

Peggy has 8 quarters and 2 nickels

Let's call q the number of quarters and n the number of nickels.

If Peggy has four times as many quarters as nickels, we can write the following equation:

q = 4n

Then, each quarter has a value of 0.25 dollars and each nickel has a value of 0.05 dollars, so

0.25q + 0.05n = 2.10

Because she had $2.10. Now, we can replace the first equation on the second one

0.25(4n) + 0.05n = 2.10

1n + 0.05n = 2.10

Finally, we can multiply both sides by 100, so

100n + 0.05(100)n + 2.10(100)

100n + 5n = 210

Therefore, the equation that can be used to solve the problem is

5n + 100n = 210

Now, we can solve the equation for n

105n = 210

105n/105 = 210/105

n = 2

Then, q is equal to

q = 4n

q = 4(2)

q = 8

It means that Peggy has 8 quarters and 2 nickels.

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complete question is listed below:

Peggy had four times as many quarters as nickels. She had $2.10 in all. How many nickels and how many quarters did she have?

Which of the following equations could be used to solve the problem?

On+4 n=210

5 n+100 n=210

n+4 n=2.10

5n+100 n=2.10.