Nintendo is interested in the gaming experience of players for their new Mario Kart game . What type of survey should they use to gather the data?

Answer:

8

Step-by-step explanation:

the answer is 8 because the answer is 8

Given function:y = √(1 – x³)We need to find dy/dx.As per the chain rule of differentiation, if y = f(u) and u = g(x), then the derivative of y with respect to x is given by dy/dx = dy/du * du/dx.

Now, let u = 1 – x³. Then, y = √u ⇒ y = u^(1/2).

dy/dx = dy/du * du/dxdy/du = 1/(2√u) = 1/(2√(1 – x³))du/dx = -3x²Therefore, dy/dx = dy/du * du/dx = 1/(2√(1 – x³)) * (-3x²) = (-3x²)/(2√(1 – x³)).

Therefore,  (A) 3(1 - x²)².Option (A) is the correct answer.

The given function is y = √(1 – x³) and we need to find dy/dx. As per the chain rule of differentiation, if y = f(u) and u = g(x), then the derivative of y with respect to x is given by dy/dx = dy/du * du/dx.

Let u = 1 – x³. Then, y = √u ⇒ y = u^(1/2).

We need to find dy/dx.dy/dx = dy/du * du/dxdy/du = 1/(2√u) = 1/(2√(1 – x³))du/dx = -3x².

Therefore, dy/dx = dy/du * du/dx = 1/(2√(1 – x³)) * (-3x²) = (-3x²)/(2√(1 – x³)).

Thus, dy/dx = (-3x²)/(2√(1 – x³)).Therefore, the correct option is (A) 3(1 - x²)².  

The derivative of the given function y = √(1 – x³) with respect to x is (-3x²)/(2√(1 – x³)) and the correct option is (A) 3(1 - x²)².

To know more about chain rule :

brainly.com/question/31585086

#SPJ11

To find the slope of the curve y = f(x) at the point (1, 1), we need to take the derivative of the equation y3 + 3xy + x2 = 5 with respect to x and evaluate it at x = 1, y = 1.

Taking the derivative, we get:
3y2(dy/dx) + 3y + 6x = 0

Plugging in x = 1 and y = 1, we get:
3(dy/dx) + 3 + 6 = 0
3(dy/dx) = -9
dy/dx = -3

Therefore, the slope of the curve y = f(x) at the point (1, 1) is -3.
To find the slope of the curve y = f(x) at the point (1, 1), we need to find the derivative of y with respect to x, which is often denoted as dy/dx or y'. Given the equation y^3 + 3xy + x^2 = 5, we'll apply implicit differentiation:

Differentiating both sides with respect to x:

3y^2(dy/dx) + 3x(dy/dx) + 3y + 2x = 0

Now, solve for dy/dx:

dy/dx(3y^2 + 3x) = -3y - 2x

dy/dx = (-3y - 2x) / (3y^2 + 3x)

At the point (1, 1):

dy/dx = (-3(1) - 2(1)) / (3(1)^2 + 3(1))

dy/dx = (-5) / (6)

dy/dx ≈ -0.83 (rounded to 2 decimal places)

So, the slope of the curve y = f(x) at the point (1, 1) is approximately -0.83.

Visit here to learn more about implicit differentiation brainly.com/question/11887805

#SPJ11

Answer:

Please check the graph below.

Step-by-step explanation:

Given the function

\(y\:=\:x^2\:+\:6x\:+\:5\)

Axis interception points of the function

x-axis interception points can be computed by setting y=0

\(x^2+6x+5=0\)

\(\left(x+1\right)\left(x+5\right)=0\)

Using the zero factor principle

if  \(\:ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)\)

\(x+1=0\quad \mathrm{or}\quad \:x+5=0\)

\(x=-1,\:x=-5\)

Hence,

x-axis interception points are: (-1, 0), (-5, 0)

y-axis interception points can be computed by setting x=0

\(x^2+6x+5=0\)

\(y\:=\:\left(0\right)^2\:+\:6\left(0\right)\:+\:5\)

\(y=0+0+5\)

\(y=5\)

Hence,

y-axis interception points are: (0, 5)

From the graph, it is clear that at (-3, -4) the parabola changes direction, hence (-3, -4) it the "vertex".

Also at the point x=-2, then y is = -3

So, all the points are labeled and the graph is attached below.

The difference between the amount of interest earned by Krista and Julio can be determined by calculating the interest earned by each individual based on their respective investments. Julio invested a certain amount of money at 6% interest, while Krista invested $200 less but received 9% interest. After one year, the difference in the interest earned by Krista and Julio can be computed.

To calculate the interest earned by Julio, we multiply his investment amount by the interest rate of 6%. Let's assume Julio's investment is represented by "x." Hence, the interest earned by Julio is 6% of "x."

For Krista, her investment amount is $200 less than Julio's investment, which means her investment can be represented as "x - 200." To find the interest earned by Krista, we multiply her investment amount by the interest rate of 9%.

After one year, the difference between the interest earned by Krista and Julio is the interest earned by Krista minus the interest earned by Julio.

By performing these calculations, we can determine the specific difference in interest earned between Krista and Julio after one year.

To learn more about investment click here : brainly.com/question/17252319

#SPJ11

The expression 9x * 2y (9x + 11y) is completely factored.

A number is defined to be a factor of another number if and only if that number divides the other number completely with the remainder being zero.

In other words, the number which divides a number called divisor is the factor of the number which is being divided called dividend if the remainder is o.

In the expression, 9x * 2y (9x + 11y), the terms contained in the expression 9x * 2y, 9x and 11y, does not share any more common factors in order to put it together.

Common factor of 9x * 2y, 9x and 11y = 1.

So it is already in the completely factorized form.

Hence the expression 9x * 2y (9x + 11y) is completely factored since it cannot be factored further.

To learn more about Factors, click:

https://brainly.com/question/14209188

#SPJ1

Answer:

yes i believe so

Step-by-step explanation:

a rational number is a number that can be written as a fraction, and 1/10 is a fraction. hope this helps

Answer: yes.

Step-by-step explanation:

a rational number is any number which can be expressed as a fraction p/q where p and q are integers and q is not equal to zero. In this fraction both numerator and denominator are natural numbers so 1/10 is a rational number!

Work Shown:

Population Density = (Population)/(area)

Population = (population density)*(area)

Population = (8 people per mi^2)*(120 mi^2)

Population = (8*120) people

Population = 960 people

Side note: The "square mile" units cancel in step 4.

Answer:

Bee Cave reached it's highest population of 7,089 in 2021. Spanning over 9 miles, Bee Cave has a population density of 827 people per square mile. The average household income in Bee Cave is $123,655 with a poverty rate of 5.09%. The median rental costs in recent years comes to $1,506 per month, and the median house value is $574,300.

Step-by-step explanation:

Answer: 8 feet below sea level is higher

Step-by-step explanation:

Answer:

y=5

Step-by-step explanation:

(y-1)=3

y=4

(edited)

y^2-1=9

y^2-1+1=9+1

y^2=10

y= +- root 10

Answer:

115 lbs = 52.16 kilograms

Step-by-step explanation:

115 pounds is a little over 52kg

The function f(x) = -x + 2cos(x), 0 ≤ x ≤ 2π, has a relative maximum at approximately (2.356, 1.585), points of inflection at approximately (0.785, 0.785) and (3.927, -3.927), and no asymptotes.

To analyze and graph the function f(x) = -x + 2cos(x), 0 ≤ x ≤ 2π and identify any relative extrema, points of inflection, and asymptotes, we can use a computer algebra system or a graphing calculator. Here are the results:

Relative minimum (x, y):

DNE

Relative maximum (x, y):

(x, y) ≈ (2.356, 1.585) (approximately)

Points of inflection (x, y) (smaller x-value):

(x, y) ≈ (0.785, 0.785) (approximately)

Points of inflection (x, y) (larger x-value):

(x, y) ≈ (3.927, -3.927) (approximately)

Asymptotes:

There are no asymptotes for the given function.

To know more about function,

https://brainly.com/question/29082977

#SPJ11

Answer:

-883 - 1

Step-by-step explanation:

Answer:

greg

Step-by-step explanation:

heffly is a sociopath. he shall burn in the gates of hell

The statement is true.

An orthogonal set with the same dimension as the initial collection of vectors is created by the Gram-Schmidt process.

Given that,

From a linearly independent collection of {x₁, x₂,..., xp}, the gram-Schmidt process creates an orthogonal set of {v₁, v₂,..., vp} with the feature that for each k, the vectors v₁...vk span the same subspace as that spanned by x₁...xk.

Whether the claim is true or false must be determined.

The statement is true.

An orthogonal set with the same dimension as the initial collection of vectors is created by the Gram-Schmidt process. An orthogonal set is further linearly independent. The orthogonal set produced by the Gram-Schmidt process and the original set will cover the same subspace if their dimensions are the same.

To learn more about orthogonal visit: https://brainly.com/question/2292926

#SPJ4

Answer:

length = 9 in and width = 4 in

Step-by-step explanation:

let w represent width then length = w + 5

the area ( A) of a rectangle is calculated as

A = width × length

given A = 36 then

w(w + 5) = 36

w² + 5w = 36 ( subtract 36 from both sides )

w² + 5w - 36 = 0 ← in standard form

(w + 9)(w - 4) = 0 ← in factored form

equate each factor to zero and solve for w

w + 9 = 0 ⇒ w = - 9

w - 4 = 0 ⇒ w = 4

However w > 0 , then w = 4 and

length = w + 5 = 4 + 5 = 9

that is width = 4 inches and length = 9 inches

Answer:

4x^2 + 8x + 4

4(x^2 + 2x + 1) - remove GCF of 4

4(x + 1)(x + 1) - factor

4(x + 1)^2 - collect like terms

Step-by-step explanation:

Then also expand it out by distributing:

21x^3 + 35x²

Form 1:

21x^3 + 35x² - unfactored

Form 2:

7x²(3x + 5) - factored with GCF of 7x² brought to the front

Update:

You could also multiply two binomials and make a quadratic.

Example:

(7x + 2)(3x + 5)

7x(3x + 5) + 2(3x + 5)

= 21x² + 35x + 6x + 10

= 21x² + 41x + 10

The favorable polynomial with a GCF of 3x will be 21x² + 41x + 10.

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

The polynomial will be solved as below:-

21x³ + 35x²

Form 1:

21x³ + 35x² - unfactored

Form 2:

7x²(3x + 5) - factored with GCF of 7x² brought to the front

You could also multiply two binomials and make a quadratic.

E = (7x + 2)(3x + 5)

E = 7x(3x + 5) + 2(3x + 5)

E = 21x² + 35x + 6x + 10

E = 21x² + 41x + 10

To know more about polynomials follow

brainly.com/question/2833285

#SPJ2

Answer:

Input:

(6 + a)×5 = 5 (6 + 8)

Result:

5 (a + 6) = 70

Answer:

$43.92

Step-by-step explanation:

1st year:

30 x 10% = 3

30 + 3 = 33

2nd year:

33 x 10% = 3.3

33 + 3.3 = 36.3

3rd year:

36.3 x 10% = 3.63

36.3 + 3.63 = 39.93

4th year:

39.93 x 10% = 3.99

39.93 + 3.99 = 43.92

Answer: 300 percent

Step-by-step explanation:

Where: 15 is the old value and 60 is the new value. In this case we have a positive change (increase) of 300 percent because the new value is greater than the old value.

Answer:

400%

Step-by-step explanation:

60/15 = 4

4 * 100 = 400 %

Answer: there are no values of x that make the equation true .

So the answer is there is: No solution

Step-by-step explanation:

As we have proved in the equation\(|an - L| < ε/2|bn| ≤ |anbn - C| + |an - L||bn| < ε/2 + ε/2 = ε\), then lim-bn exists.

Proof:

Given lim anbn exists.

Let C be its limit and ε > 0 be arbitrary.

Since lim an = L,

there exists an integer N1 such that if n > N1,

then \(|an - L| < ε/2|bn| ≤ |anbn - C| + |an - L||bn| < ε/2 + ε/2 = ε.\)

Then by the definition of convergence, lim bn exists.

Thus, the proof is completed.

Hence Proved.

Note: We know that lim an = L implies that for any ε > 0, there exists an integer N1 such that |an - L| < ε/2 for all n > N1. Also, since lim anbn exists, for any ε > 0, there exists an integer N2 such that |anbn - C| < ε/2 for all n > N2. By combining these two inequalities,

we get \(|an - L| < ε/2|bn| ≤ |anbn - C| + |an - L||bn| < ε/2 + ε/2 = ε\)This shows that lim bn exists.

learn more about the equation

https://brainly.com/question/29538993

#SPJ11

If the triangles ABC and DEF are similar, then the measurement of line segment DE = 108.72 units.

What are triangles?

Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here. An example of a 3-sided polygon is a triangle. The total of a triangle's three angles equals 180 degrees. One plane completely encloses the triangle.

It is given that triangle ABC is similar to triangle DEF.

It can be seen in the image that ΔDEF is a dilated version of ΔABC.

In ΔABC the measurement of side AB = 23 units

In ΔABC the measurement of side BC = 11 units

In ΔDEF the measurement of side EF = 52 units

In ΔDEF the measurement of side DE = x units

Apply the formula for indirect measurement to find the measurement of side DE.

AB/DE = BC/EF

Substitute the values in the equation -

23/x = 11/52

23 × 52 = 11x

x = (23 × 52)/11

x = 1196/11

x = 108.72

Therefore, the measurement of DE is 108.72 units.

To learn more about triangles from the given link

https://brainly.com/question/25215131

#SPJ1

Answer: 1/5

Step-by-step explanation:

So we have a total of 15 pens and 3 of those pens we know are red. The probability of randomly selecting a red pen would be 3/15 or simplified 1/5

Answer:

1/5

Step-by-step explanation:

** numbers of chances you can pick/total chances of that you can pick anything

--> # of chances you can pick red pens, in this case, is 3, since there are only 3 red pens -->3/total

--> in this case total should be every numbers of pens added --> 3+8+4 = 15

--> 3/15 -->simplify: 1/5

first thing to check can you make anything smaller to make the rest of the answer easier to solve for example

2/4 times 8/2

you can  cut 2/4 down to 1/2 and you can take 8/2 to 4/1 and then multiply the fraction.

- remembering to simply the fraction can make the problems so much easier to solve.

Therefore, the probability of landing on land would be higher than landing on water, with a ratio of approximately 1:3.

If you were dropped at a completely random spot on the planet, the chances of landing on land would be one in three, or approximately 33.33%. This is because approximately 71% of the Earth's surface is covered by water, while the remaining 29% is land.

To know more about probability,

https://brainly.com/question/13957582

#SPJ11

Sally: 10h + 20

Jerry 9h + 50

h = hours