SOMEONE PLEASE HELP ME ON THIS MATH

The 100th derivative of P(x) = (x+x⁵+x⁷)¹⁰(1+x²)¹¹(x³+x⁵+x⁷) will be zero.

An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial.

Given:

A polynomial,

P(x) = (x+x⁵+x⁷)¹⁰(1+x²)¹¹(x³+x⁵+x⁷).

To find the degree:

(x⁷)¹⁰(x²)¹¹(x⁷) = x⁹⁹.

The polynomial has a degree of 99.

If we think about it intuitively,

Therefore, if we were to multiply it all out,

the leading word would be x⁹⁹.

The term's first derivative is 99x⁹⁸,

followed by 99(98)x⁹⁷,

and 99(98)(97)x⁹⁶.

And finally,

the 99th derivative is 99×98×97×96×...4×3×3×2×1× (x⁰)

=99!

So, the 100th derivative will be zero.

Therefore, by the 100th derivative, all terms will cancel out.

100th derivative will be zero.

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Answer:

Below

Step-by-step explanation:

x = price last year

x * .096 = price increase   (.096   is 9.6% in decimal form)

price THIS year  is    x     +    x * .096  

                                = 1.096 x

so:

86.80 = 1.096 x     divide both sides of the equation by 1.096

  79.20 = x = original price

Answer:

Did not let me say app names lol

Answer:

i think its this one (x−30)(x+3)

The steps in solving the given expression shows that the result is:

0.92 * 10²

The expression is given as:

6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹

The steps that Maggie followed are:

Step 1: Rewrite the given expression:

6.89 * 10⁻⁴/(7.5 * 10⁻⁶) = 0.92 * 10¹

Step 2: Divide the coefficients:

The coefficient of the numerator (6.89) is divided by the coefficient of the denominator (7.5) to get:

6.89 / 7.5 = 0.9186667.

Step 3: Divide the powers of 10:

This is done by subtracting the exponent of the denominator 10⁻⁶ from the exponent of the numerator 10⁻⁴ to get: 10²

Step 4: Combine the results:

This gives:

0.9186667 * 10²

Step 5: Simplify the coefficient:

She rounded the coefficient (0.9186667) to two decimal places, resulting in 0.92.

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n + 5 = 4 + 4

n + 5 = 8

n = 3

-- the answer is the third choice.

Answer:

Dollars per passenger would be $252.
The maximum revenue is $63,404.

Step-by-step explanation:

Let's define the number of passengers above 212 as x.

The revenue function is given by R(x) = (212 + x)(292 - x).

We can expand and simplify the revenue function:

\(R(x) = 212 * 292 + 212 * (-x) + x * 292 + x * (-x)\)

= \(61804 - 212x + 292x - x^2\)

= \(-x^2 + 80x + 61804\)

The revenue function is a quadratic function in the form\(R(x) = -x^2 + 80x + 61804\), representing a downward-opening parabola.

To find the x-coordinate of the vertex (which gives the number of passengers for maximum revenue), use the formula \(x = -b/2a\), where \(a = -1\) and \(b = 80\).

\(x=\frac{-80}{2*(-1)}\)

\(= \frac{80}{2}\)

\(= 40\)

Therefore, the number of passengers above 212 for maximum revenue is 40.

Substitute x = 40 into the revenue function to find the maximum revenue:

\(R(x) = -(40)^2 + 80(40) + 61804\)

\(= -1600 + 3200 + 61804\)

\(= 61804 + 1600\)

\(= 63404\)

Hence, the maximum revenue is $63,404.

To determine the fare per passenger, subtract x from the base fare of $292:

Fare per passenger = Base fare - x

\(= 292 - 40\)

\(= 252\) Dollars per passenger.

Answer:

Step-by-step explanation:

Since 8 is a factor of 24, 8 is the GCF of the pair, and 24 is the LCM of the pair.

__

The ratio 8/24 is reduced by observing that 24 = 8·3:

  8/24 = 8/(8·3) = (8/8)·(1/3)

  8/24 = 1/3

1) y = -3x and y = -3x + 2: inconsistent system of equations.

2) y = x - 5 and -2x + 2y = - 10: consistent and independent.

3) 2x - 5y = 10 and 3x + y = 15 : consistent and independent.

The given equation are:

The graph for each system of equations is plotted.

1) y = -3x and y = -3x + 2

From the graph 1 it is shown that the lines for the each equation form the parallel lines.

Thus, system of equations are inconsistent.

2) y = x - 5 and -2x + 2y = - 10

From the graph 2 it is shown that the lines for the each equation form the coincident lines.

Thus, system of equations are consistent and independent.

3) 2x - 5y = 10 and 3x + y = 15

From the graph 2 it is shown that the lines for the each equation form the coincident lines.

Thus, system of equations are consistent and independent.

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Answer:

b, c, e

Step-by-step explanation:

the reasons have to include an angle from both of the parallel lines. by using process of elimination it is b, c, e. I also got it right

Answer:

B. a=d

C. c=d

E. b + d=180°

Step-by-step explanation:

Got Correct On MyPath.

a) The sample size of Charmaine's is 7 and (b) sam is 4 c) The mean of Charmaine'sample is 10.43 and sam's sample is 7.2

The term "Sample Mean" describes the mean value of a data sample taken from a sizable data population. It is a helpful instrument to estimate the population mean if the sample size is high and the statistical researchers randomly choose pieces from the population.

Charmaine's sample is

10,14,9,6,11,7,16

and Sam's sample is

8,6,5,10

The sum of Charmaine's sample is

10+14+9+6+11+7+16=73

mean = 73÷7= 10.43

The sum of Sam's sample is

8+6+5+10=29÷4 = 7.2

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After considering the given data we come to the conclusion that the area to the left of z is 0.982, which is Option D. And the standard deviation of the given data is 87.6, which is Option C.


In order to  calculate the area to the left of z=2.09 we have to  apply the z-table:
1. Search for the row that starts with "2.0" in the leftmost column of the z-table.
2. Then for the column that starts with "0.09" in the top row of the z-table.
3. Here the value at the intersection of this row and column is 0.9821.
4. Finally round this value to three decimal places to get 0.982.
Hence , the area to the left of z=2.09 is 0.982.

Now for the second part of the question
Applying the given data set {10, 26, 84, 48, 250, 56}, we can evaluate the standard deviation as follows:

1. Evaluate the mean:
mean = (10 + 26 + 84 + 48 + 250 + 56) / 6 = 74
2. Applying subtraction of the mean from each data point:
{10 - 74, 26 - 74, 84 - 74, 48 - 74, 250 - 74, 56 - 74}
= {-64, -48, 10, -26, 176, -18}
3. Applying square of the result of step 2:
{(-64)², (-48)², (10)², (-26)², (176)², (-18)²}
= {4096, 2304, 100, 676, 30976, 324}
4. Exercising summation of the result of step 3:
4096 + 2304 + 100 + 676 + 30976 + 324
= 38176
5. Applying division of the result of step 4 by the number of data points (n):
standard deviation = √(38176 / (6 -1))
= √7625.2)
≈ 87.6.
Therefore, the answer is  87.6
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Answer:

OOk

Step-by-step explanation:

The value of 0.045 × 2.05 / 0.0025 in standard form is 3.69 × 10.

To perform the calculation and express the answer in standard form, follow these steps:

Multiply 0.045 by 2.05:

0.045 × 2.05 = 0.09225

Divide the result by 0.0025:

0.09225 / 0.0025

= 36.9

Convert the answer to standard form by writing it as a decimal multiplied by a power of 10:

36.9 = 3.69 × 10

Therefore, the value of 0.045 × 2.05 / 0.0025 in standard form is 3.69 × 10.

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Answer:

m<C  = 36.87degrees

Step-by-step explanation:

Solve for the approximate measure of angle C.

From the given diagram;

AC is the hypotenuse

BC is adjacent to <C

Cos m<C = adj/hyp

Cos m<C = BC/AC

Cos m<C = 20/25

Cos m<C = 0.8

m<C = arccos (0.8)

m<C  = 36.87degrees

Answer:

4 times

Step-by-step explanation:

The area of a circle is given by the formula A = πr², where "r" is the radius of the circle.

Let's calculate the areas of the two circles:

For the circle with a radius of 4 inches:

=> A₁ = π(4)² = 16π in²

For the circle with a radius of 2 inches:

=> A₂ = π(2)² = 4π in²

To find the ratio of the areas, we divide the area of the circle with a radius of 4 inches by the area of the circle with a radius of 2 inches:

=> A₁/A₂ = (16π) / (4π) = 4

Therefore, the area of a circle with a radius of 4 inches is 4 times greater than the area of a circle with a radius of 2 inches.

Answer:

a³ + 1

Step-by-step explanation:

Step 1: Factor out -3a

\(\frac{-3a(a^3+1)}{-3a}\)

Step 2: Remove -3a

a³ + 1

Answer:

chi-square

Step-by-step explanation:

According to the given situation, Chi-square statistic would be considered for as we have to determine whether working hours and smoking are attached with each other or not.

To know whether working hours based on smoking or there is an important relationship between both- So Chi-square statistic would be used

Therefore the test that should be used is chi-square

Answer:

Step-by-step explanation:

Given

Formula for compound interest is:

Substituting values

In a case whereby Juan buys candy that costs $8 per pound and will spend at least $48 on candy  the possible numbers of pounds he will buy written in inequality is is p>5 (at least 5 pounds).

Inequality in math refers to a statement that one quantity is either greater than, less than, or not equal to another quantity. Inequalities are often represented using symbols such as "<" (less than), ">" (greater than), or "≤" (less than or equal to) and "≥" (greater than or equal to). For example, the inequality "x > 3" states that the variable "x" is greater than the value of 3. The inequality "y ≤ 5" means that the variable "y" is less than or equal to 5.

From the question, p = number of pounds Juan will buy.

candy=costs $8 per pound

$20/$4 = 5 pounds

p>5

at least 5 pounds

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Answer:

Step-by-step explanation:

4/4

8/6

4/6

Answer:

She would no reach her goal.

Step-by-step explanation:

given that m is parallel to n,

the angle opposite (2x + 16)° is also (2x + 16)° as vertically opposite angles are equal.

using the corresponding angle rule we know that:

2x + 16 = 96

2x = 80

so x = 40

Answer:

The circumference of the drive wheel is 10 feet * 3.14 = 31.4 feet.

The circumference of the vat is 18 feet * 3.14 = 56.52 feet.

The total length of belt needed to go around the drive wheel and the vat is 31.4 + 56.52 = 87.92 feet.

Answer:

Approximately Normal

Step-by-step explanation:

Even though we don't know the shape of the population distribution of thicknesses, the sampling distribution of -x  will be approximately normal since the sample size is large (n=100≥30).

Hence Proved N to N is uncountable set by using a diagonalization argument

What is Diagonalization Argument?

Georg Cantor published the Cantor's diagonal argument in 1891 as a mathematical demonstration that there are infinite sets that cannot be put into one-to-one correspondence with the infinite set of natural numbers. It is also known as the diagonalization argument, the diagonal slash argument, the anti-diagonal argument, the diagonal method, and Cantor's diagonalization proof.

Proof:

We write f as the sequence of value it generates

that is, say f:N-N is defined as f(x) =x then

we write f as : 1,2,3,4........

similarly if f:N-N were f(x) = 2x then we write it as :2,4,6,8.......

now assume on the contrary that the set of functions from N to N is countable

then,

\(f_{1}\)   :     \(f_{11}\)        \(f_{12}\)       \(f_{13}\) , ...........

\(f_{2}\)   :     \(f_{21}\)        \(f_{22}\)       \(f_{23}\) , ...........

\(f_{3}\)   :     \(f_{31}\)        \(f_{32}\)       \(f_{33}\) , ........... and so on

Here \(f_{ij}\) =\(f_{i}(j)\)

consider the function f as :

f : (\({f11}\) +1 ) , (\({f22}\) +1) , (\({f33}\) +1),.........

Then f wouldn't appear in the list of the function we had above since any \(f_{i}\) would disagree with f at the i th place

Therefore the set of the function from N to N is an uncountable set

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Answer:

true

Step-by-step explanation:

Answer:

  6922 TV sets

Step-by-step explanation:

You want the production in the 15th year if production in the first year is 1000 and it increases yearly by a constant amount. The total production in the first 10 years is 29035.

An arithmetic series is one that has a constant difference from one term to the next. If a1 is the first term of the series, and d is the common difference between terms, the n-th term is ...

  an = a1 +d(n -1)

And the sum of n terms is ...

  Sn = (2a1 +d(n-1))(n/2)

To find the 15th term, we can make use of the given values to find the common difference, then use the formula for the n-th term.

  S10 = (2(1000) +d(10 -1))(10/2) . . . . . sum formula with a1=1000

  29035 = 10000 +45d . . . . . . . . . . . simplified

  d = (29035 -10000)/45 = 423 . . . . the increase in production each year

Production in the 15th year is ...

  a15 = 1000 +423(15 -1) = 1000 + 5922 = 6922

The output in the 15th year was 6922 TV sets.