The difference between six times a
number and one is seventeen

Answer: The answer is q = 28.

Answer: You can't answer this without the graph

Step-by-step explanation:

To find y'(4) by implicit differentiation, we differentiate both sides of the equation 3x^2 + 3x + xy = 4 with respect to x.

Differentiating 3x^2 + 3x + xy = 4, we get:

6x + 3 + y + xy' = 0

Since we know y(4) = -14, we substitute x = 4 and y = -14 into the differentiated equation:

6(4) + 3 + (-14) + (4)(-14)' = 0

Simplifying this equation, we have:

24 + 3 - 14 - 56y' = 0

Combining like terms, we get:

13 - 56y' = 0

Solving for y', we find:

56y' = 13

y' = 13/56

Therefore, y'(4) = 13/56.

To find an equation of the tangent line to the graph at the point (4, -14), we can use the point-slope form of a linear equation, y - y1 = m(x - x1), where (x1, y1) is the point (4, -14) and m is the slope y'(4).

Substituting the values, we have:

y - (-14) = (13/56)(x - 4)

y + 14 = (13/56)(x - 4)

Simplifying, we get:

y = (13/56)x - (13/14) - 14

y = (13/56)x - (13/14) - (196/14)

y = (13/56)x - 209/14

Thus, an equation of the tangent line to the graph at the point (4, -14) is y = (13/56)x - 209/14.

Learn more about tangent line here: brainly.com/question/32234642

#SPJ11

The missing sides of the triangle are m = 4√3 and n = 8

From the question, we have the following parameters that can be used in our computation:

The triangle

Using the sine and cosine ratios, we have

cos(60) = 4/n

When solved for n, we have

n = 4/cos(60)

When evaluated, we have

n = 8

To calculate m, we use the following

m² = n² - 4²

This gives

m² = 8² - 4²

Evaluate

m² = 48

So, we have

m = 4√3

Hence, the missing sides of the triangle are m = 4√3 and n = 8

Read more about right triangles at

https://brainly.com/question/2437195

#SPJ1

Possessive adjectives and possessive pronouns are used to indicate ownership or possession. Here's a more detailed explanation for each sentence:

I am wearing my raincoat.

In this sentence, "my" is a possessive adjective that shows ownership. It indicates that the raincoat belongs to the speaker.

He is wearing his t-shirt.

In this sentence, "his" is a possessive adjective that indicates ownership. It shows that the t-shirt belongs to the person being referred to as "he."

She is wearing her skirt.

In this sentence, "her" is a possessive adjective indicating that the skirt belongs to the person being referred to as "she."

We are wearing our shorts.

In this sentence, "our" is a possessive adjective indicating that the shorts belong to the group of people being referred to as "we."

They are wearing their socks.

In this sentence, "their" is a possessive adjective showing that the socks belong to the group of people being referred to as "they."

You are wearing your pants.

In this sentence, "your" is a possessive adjective indicating that the pants belong to the person or people being referred to as "you."

These shorts are mine. (i)

In this sentence, "mine" is a possessive pronoun that replaces the need for a noun and possessive adjective. It indicates that the shorts belong to the speaker.

This tie is his. (he)

In this sentence, "his" is a possessive pronoun that replaces the need for a noun and possessive adjective. It indicates that the tie belongs to the person being referred to as "he."

This belt is hers. (she)

In this sentence, "hers" is a possessive pronoun indicating that the belt belongs to the person being referred to as "she."

These sneakers are ours. (we)

In this sentence, "ours" is a possessive pronoun showing that the sneakers belong to the group of people being referred to as "we."

These dresses are theirs. (they)

In this sentence, "theirs" is a possessive pronoun indicating that the dresses belong to the group of people being referred to as "they."

In summary, possessive adjectives are used before a noun to show ownership, while possessive pronouns can stand alone to indicate ownership without the need for a noun.

Learn more about related problem here:

https://brainly.com/question/30716703

#SPJ11

Answer:

There is still no attachment.

Step-by-step explanation:

The stratified sample ensures that the opinions of employees from both locations are represented.

Learn more about stratified samples here:

https://brainly.com/question/20544692

#SPJ4

The answer is that condition (D) assures that g has an inverse function.

The second derivative of a function tells us about its concavity, or the direction of its curvature. If the second derivative is always positive, the function is always concave up, meaning it is always increasing at an increasing rate. This guarantees that the function is one-to-one, meaning that every output has a unique input. Therefore, an inverse function exists. The other conditions do not guarantee this, as (A) and (B) only tell us about the slope of the function, and (C) only tells us about the concavity at specific points.

it is important to understand the reasoning behind the solution.

To know more about function visit:

https://brainly.com/question/28193995

#SPJ11

Answer:

498.66577718478985990660440293529019346230820547031354236157438292 seconds

Step-by-step explanation:

Answer:

Step-by-step explanation:

x represents the time in weeks

y represents the heights of the plants in inches.

Plant A: y = 1.8x + 3.1

Plant B: y = 2.3x + 1.9

We would equate both plants together

Plant A = Plant B

Plant A: y = 1.8x + 3.1

Plant B: y = 2.3x + 1.9

Hence:

1.8x + 3.1 = 2.3x + 1.9

Collect like terms

3.1 - 1.9 = 2.3x - 1.8x

1.2 = 0.5x

x = 1.2/0.5

x = 2.4 weeks

Hence, it would take 2.4 weeks for Plant A and Plant B to reach the same height

The probability that a randomly chosen point in the circle is outside the inscribed square is 0.360.

The probability is calculated as follows:

Data given:

The diagonal of the square is equal to the diameter of the circle,;

The side length of the square is s

s * √2 = 72

s = 72 / √2

s ≈ 51.02 units

The area of the square:

Area of the square = 51.02 * 51.02

Area of the square ≈ 2604.08 square units

The area of the circle:

Area of the circle = 3.14 * 36 * 36

Area of the circle ≈ 4071.84 square units

Probability = (4071.84 - 2604.08) / 4071.84

Probability ≈ 0.360

Learn more about probability at: https://brainly.com/question/24756209

#SPJ1

Solution:

Given the data below:

when arranged in ascending order, we have

For the first six data:

For the second six data:

For the entire data,

Since the smallest and largest data value are 60 and 70 respectively, we can conclude that the box plot that correctly represents the data is

The correct option is

Over the 30 year period, the values of Minneapolis and St. Paul's values will be: Mean 1.580666667 1.769333333 and Standard Deviation 0.890741799 1.123161779

Using the R software or any other graphing software and typing in the, we get the graphs.

The commands were

qqnorm(c(0.32,0.52,0.77,0.81,0.96,1.2,1.31,1.43,1.62,1.87,1.95,2.1,2.48,3,3.37)) and qqnorm(c(0.47,0.59,0.81,0.9,1.18,1.2,1.35,1.51,1.74,1.89,2.05,2.2,2.81,3.09,4.75))

We see there's a slight difference between the two graphs.

For Minneapolis, the curve goes upwards to 0.4

and the for St. Paul the curve goes downwards to 0.4

The term "mean" refers to the mathematical average of a set of two or more numbers. The arithmetic mean and the geometric mean are two types of means that can be computed. By adding all of the numbers in a set and dividing by the total number of numbers in the set, the arithmetic mean is determined. The standard deviation is a measurement of how widely distributed or how much a group of data differ. A low standard deviation indicates that the values typically tend to be close to the set mean, while a high standard deviation suggests that the values are dispersed over a wider range.

To learn more about mean and standard deviation: https://brainly.com/question/29347607

#SPJ4

Answer:

15 years

Step-by-step explanation:

1100 + 45y

2000 - 15y

plug 15 into y and the equations answer should be the same

Answer:

The margin of error of his experiment is of 0.1074.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \(\pi\), and a confidence level of \(1-\alpha\), we have the following confidence interval of proportions.

\(\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}\)

In which

z is the z-score that has a p-value of \(1 - \frac{\alpha}{2}\).

The margin of error is of:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

30 M & M's from a bag, and 3 of them are green.

This means that \(n = 30, \pi = \frac{3}{30} = 0.1\)

Standard 95% confidence level

So \(\alpha = 0.05\), z is the value of Z that has a p-value of \(1 - \frac{0.05}{2} = 0.975\), so \(Z = 1.96\).

Margin of error:

\(M = z\sqrt{\frac{\pi(1-\pi)}{n}}\)

\(M = 1.96\sqrt{\frac{0.1*0.9}{30}}\)

\(M = 0.1074\)

The margin of error of his experiment is of 0.1074.

Answer:

Information

General form of an exponential function:  \(y=ab^x\)

where:

Also, growth rate \(r=b-1\)

Domain:  input values - independent variable ⇒ \(x\)

Range:  output values - dependent variable ⇒ \(y\)

y-intercept:  when \(x=0\)

Asymptote:  the line(s) that the curve approaches as it tends towards infinity

Given function:  \(f(x)=200(1.08)^x\)

Solution

Domain:   \(-\infty < x < +\infty\)

Range:   \(y > 0\)

y-intercept (\(a\)):  \((0, 200)\)

Asymptote:   \(y=0\)

Growth Rate (\(b-1\)):   \(0.08\)

Growth Factor (\(b\)):   \(1.08\)

End behaviors:

\(\textsf{as } x \rightarrow -\infty, f(x) \rightarrow0\)

\(\textsf{as } x \rightarrow +\infty, f(x) \rightarrow+\infty\)

Answer:

I select b, 1,3, or 9 photos as my answer.

The integral that gives the volume of a sphere of radius R using the techniques of solids of revolution is (8πR^3)/3.

To find the volume of a sphere of radius R using the techniques of solids of revolution, we can imagine rotating a semicircle about its diameter to form a full sphere.

Let's consider a semicircle with radius R, centered at the origin (0,0) in the xy-plane. The equation of the upper half of the semicircle is given by y = √(R^2 - x^2), where -R ≤ x ≤ R.

To find the volume of the sphere, we need to rotate this semicircle about the x-axis. The resulting solid will have rotational symmetry and form a sphere.

To set up the integral for calculating the volume, we can consider an infinitesimally thin strip or "slice" of the solid. Let's choose a small width dx along the x-axis.

The volume of this thin cylindrical shell can be approximated as the product of its height and the circumference of the sphere at that height.

The height of the cylindrical shell is given by 2√(R^2 - x^2), which represents the diameter of the sphere at the corresponding x-coordinate.

The circumference of the sphere at a particular height can be determined using the formula for the circumference of a circle: 2πr, where r represents the radius.

In this case, the radius of the sphere at a given height is given by y = √(R^2 - x^2).

Therefore, the circumference of the sphere at height x is 2π√(R^2 - x^2).

Now, let's calculate the volume of the sphere by integrating the volume of each cylindrical shell:

V = ∫[-R, R] (2π√(R^2 - x^2)) (2√(R^2 - x^2)) dx

V = 4π ∫[-R, R] (R^2 - x^2) dx

To simplify the integral, we expand the expression inside the integral:

V = 4π ∫[-R, R] (R^2 - x^2) dx

 = 4π [R^2x - (x^3/3)] |[-R, R]

V = 4π [R^2R - (R^3/3) - (-R^2R + (-R^3/3))]

V = 4π [2R^3/3]

V = (8πR^3)/3

Therefore, the integral that gives the volume of a sphere of radius R using the techniques of solids of revolution is (8πR^3)/3.

To learn more about  volume click here:

/brainly.com/question/33399210

#SPJ11

Respuesta:

Significar

Explicación paso a paso:

Las medidas del centro incluyen la media, la mediana y la moda. La media se obtiene tomando la suma de los valores dividida por el número de valores individuales (frecuencia). La mediana es el percentil 50 de la distribución y la moda es el valor que ocurre con mayor frecuencia si se trata de una distribución. De todas las medidas, la media es la más afectada por la presencia.

Dados los datos:

2,4, 5, 2, 3, 3, 3, 5

La media = Σx / N = 2.3

Modo = 3

Mediana = 2, 2, 3, 3, 3, 4, 5, 5 = 1/2 * nth = 1/2 * 8 = 4to término = 3

Si se agrega un valor extremo: digamos 80

2, 2, 3, 3, 3, 4, 5, 5, 2, 80

Nueva media = Σx / N = 11,88

Mediana = 1/2 (n + 1) th término

Mediana = 1/2 (10) término = 3

Modo = 3

Podemos ver que la inclusión de 80, que es un valor extremo, cambia significativamente el valor medio.

Answer:

17.28

Explanation:

We know that the total cost is given by

If Lindy orders 4 drinks and a medium pizza with 3 toppings. then d = 4 and t = 3. Putting these values into the expression gives

which we evaluate to get

Hence, the total cost of 4 drinks and a medium pizza with 3 toppings is $17.28.

the size of the union of the three sets is: |A ∪ B ∪ C| = |A| + |B| + |C| - |A ∩ B| - |A ∩ C| - |B ∩ C| + |A ∩ B ∩ C| = 3  × 24 million - 3 × 1.4 million + 1.2 million ≈ 69 million

A combination is a way of selecting a subset of objects from a larger set without regard to their order. The formula for the number of combinations of n objects taken r at a time is:
C(n, r) = n! / (r! ×  (n - r)!)
where n! means the factorial of n, which is the product of all positive integers up to n. For example, 5! = 5 ×  4 ×  3 ×  2 ×  1 = 120.
To apply this formula to our problem, we first need to count the total number of coins in the pile. Since there are at least 16 of each type, the minimum total is:
16 + 16 + 16 + 16 = 64
But there could be more coins of each type, so the total could be larger than 64. However, we don't need to know the exact number, only that it is large enough to allow us to choose 16 coins from it.
Using the formula for combinations, we can calculate the number of different collections of 16 coins that can be chosen from the pile:
C(64, 16) = 64! / (16! × (64 - 16)!) ≈ 1.1 billion
That's a very large number! It means there are over a billion ways to choose 16 coins from a pile that contains at least 16 of each type.
To answer the second part of the question, we need to count the number of collections that contain at least 3 coins of each type. One way to do this is to use the inclusion-exclusion principle, which says that the number of elements in the union of two or more sets is equal to the sum of their individual sizes minus the sizes of their intersections, plus the sizes of the intersections of all possible pairs, minus the size of the intersection of all three sets, and so on.
In this case, we can consider three sets:
- A: collections with at least 3 pennies
- B: collections with at least 3 nickels
- C: collections with at least 3 dimes
- D: collections with at least 3 quarters
The size of each set can be calculated using combinations:
|A| = C(48, 13) ≈ 24 million
|B| = C(48, 13) ≈ 24 million
|C| = C(48, 13) ≈ 24 million
|D| = C(48, 13) ≈ 24 million
Note that we have to choose 3 coins of each type first, leaving 4 coins to be chosen from the remaining 48 coins.
The size of the intersection of any two sets can be calculated similarly:
|A ∩ B| = C(43, 10) ≈ 1.4 million
|A ∩ C| = C(43, 10) ≈ 1.4 million
|A ∩ D| = C(43, 10) ≈ 1.4 million
|B ∩ C| = C(43, 10) ≈ 1.4 million
|B ∩ D| = C(43, 10) ≈ 1.4 million
|C ∩ D| = C(43, 10) ≈ 1.4 million
Note that we have to choose 3 coins of each type first, leaving 1 coin to be chosen from the remaining 43 coins.
The size of the intersection of all three sets can also be calculated:
|A ∩ B ∩ C| = C(38, 7) ≈ 1.2 million
Note that we have to choose 3 coins of each type first, leaving 1 coin to be chosen from the remaining 38 coins.

learn more about intersection here:

https://brainly.com/question/12089275

#SPJ11

Answer:

It is not possible to determine the local maximum of the graphed function over the interval [-3, 1.5] based on the given information. The maximum value of the curved line occurs at (negative 1.6, 56) and (2, 0), but these points do not fall within the interval [-3, 1.5]. Similarly, the minimum value of the curved line occurs at (0.8, negative 11.4), but this point also does not fall within the interval [-3, 1.5]. The curve crosses the x-axis and y-axis at (negative 2.5, 0), (0, 0), and (2, 0), but these points do not correspond to local maxima or minima of the curve.

To determine the local maximum over the interval [-3, 1.5], it would be necessary to have additional information about the shape of the curve and its values at points within the given interval.

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

edge 23

An integer that can be inserted on the blank line in the list from the given options is 0.

Therefore the answer is c) 0.

The list shows numbers in order from least to greatest, that is ascending order -15, -3 4/5, -1.5, ____, 2.3, 5 2/3

The integer that can be inserted on the blank line in the list is c. 0, because it is greater than -1.5 and less than 2.3 and it is an integer.

-2 is less than -1.5. So they cannot be the answer. -1 1/3 is equal to -4/3 and 1.2 is greater than -1.5 and less than 2.3, but they are not integers.  

To know more on ascending order

https://brainly.com/question/20681445

#SPJ4

Answer:

I believe the answer is substitution

Step-by-step explanation:

Hope this Helps :)

i think its called a regular expression.. but i'm not 100% sure. Sorry if im wrong.

If a city's population doubles every 6 years, the city's population, 12 years from now, will be 2,152,000.

Every six months, the population increases by two times the current number.

Using multiplication by 2 or 4, we can determine the population in 12 years.

The current population of the city in Year 0 = 538,000

Doubling time = every 6 years

The estimated time = 12 years

In the first six years, the population will be 1,076,000 (538,000 x 2)

In the second six years, the number of people in the city will be 2,152,000 (1,076,000 x 2) or (538,000 x 4)

Thus, in 12 years, the city's population will become 2,152,000 people.

Learn more about population increases at https://brainly.com/question/25630111

#SPJ1

Answer:

2,152,000

Step-by-step explanation:

Answer:

2x and 4x i guess

Step-by-step explanation:

Answer:

The coordinates of the image trapezoid are

A"(-4,5), B''(-1,5), C''(0,3), D''(-5,3)

The pre-image was first reflected in the line y=x, so the mapping will be

The resulting coordinates were then translated 4 units right;

For A''(-4,5), y+4=-4 and x=5

This means y=-8, x=5

Hence A(5,-8)

For B''(-1,5), y+4=-1, and x=5.

This means y=-5 and x=5

B(5,-5)

For C''(0,3), C(3,-4)

For D''(-5,3), D(3,-9)

Step-by-step explanation:

there u  go

The answer is A) (–1, 0) and B) (–1, –5) on Edge 2020

Answer:

(-x, -y)

Step-by-step explanation:

The bottom left of the coordinate plane, or quartile 3, is to the left of the x axis origin and below the y axis origin. The x axis and the y axis are merely number lines. To the left of zero are the negatives, and to the right are positives. X is always first, so it would be (-x, -y).

Answer:

the one on X axis, kinda like the alphabet, x comes before y so you put the number resembling X first, then put the number resembling Y

Answer:

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

And also,PLEASE DONT YELL AT ME/US!!