Anyone able to assist with the last question

The inverse of the given function [tex]f(x)=\sqrt[5]{x^3}[/tex] is [tex]f^{-1}(x)=x^{\frac{5}{3}}[/tex]

The given function is:

[tex]f(x)=\sqrt[5]{x^3}[/tex]

This function can be written in exponent form as:

[tex]f(x)=x^\frac{3}{5}[/tex]

Make x the subject of the formula:

[tex]x=[f(x)]^\frac{5}{3}[/tex]

Let x be replaced by [tex]f^{-1}(x)[/tex] and f(x) be replaced by x

The inverse function therefore becomes:

[tex]f^{-1}(x)=x^{\frac{5}{3}}\\\\ f^{-1}(x)=\sqrt[3]{5}[/tex]

Learn more on the inverse of a function here:https://brainly.com/question/3831584

#SPJ1

Trabajando 10 horas por día, en 6 días se producen 3000 ruedas.

Sabemos que trabajando 8 horas, en 5 dias producen 2000 ruedas.

El número total de horas que trabajan en esos 5 dias es:

(8 horas)*5 = 40 horas

Entonces se producen 2000 ruedas en 40 horas, es decir, la razon de trabajo es:

(2000 ruedas)/(40 horas) = 50 ruedas por hora.

Ahora, sí en la fabrica trabajan 10 horas al día, entonces van a producir:

10h*(50 ruedas por hora) = 500 ruedas por día.

El número x de días que deben trabajar para producir 3000 ruedas es:

x*(500 ruedas por dia) = 3000 ruedas

x = (3000 ruedas)/(500 ruedas por dia) = 6 dias.

Trabajando 10 horas por día, en 6 días se producen 3000 ruedas.

Sí queres aprender más sobre razones de trabajo:

https://brainly.com/question/8728504

#SPJ1

Answer:

B

Step-by-step explanation:

5x+y=10

-5x -5x

y= -5x+10

The area of a parallelogram is 20 inches square

The area of a parallelogram is the base of the shape multiplied by the height

Area of parallelogram = b × h

Where h = height = 2 In

base = 10 in

Area = 2 × 10

Area = 20 Inches square

Thus, the area of a parallelogram is 20 inches square

Learn more about a parallelogram here:

https://brainly.com/question/10744696

#SPJ1

The interest is a) $7000

b) $17709.73

c) $18672.62

d) $18901.67

What is the formula for simple and compound interest?

Simple interest = (P× r× t)

Compound interest = P(1+r/n)^nt - P

We will find the interest as shown below:

P=$4,000

t=25 years

a) r=7%=0.07

Simple interest = (P× r× t)

= (4000×0.07×25)

= $7000

b) r=7%=0.07

Compound interest = P(1+r)^t - P

= 4000(1+0.07)^25-4000

= $17709.73056

rounding to nearest cents

= $17709.73

c) r=7%=0.07

n=4

Compound interest = P(1+r/n)^nt - P

= 4000(1+0.07/4)^(25*4)-4000

= $18672.62375

rounding to nearest cent

= $18672.62

d) r=7%=0.07

n=12

Compound interest = P(1+r/n)^nt - P

= 4000(1+0.07/12)^(25*12)-4000

= $18901.6728

rounding to nearest cent

= $18901.67

Hence, the interest is a) $7000

b) $17709.73

c) $18672.62

d) $18901.67

Learn more about Interest here:

https://brainly.com/question/21104975

#SPJ1

Answer:

a)(x+h+2)²=x²+2xh+h²+4x+4h+2

b)(x+h+2)²–(x+2)²=2xh+h²+4h

c)2x+4+h

Step-by-step explanation:

f(x)=x²+4x+2

Aight so for part a you have to replace x with x+h

a)f(x+h)=(x+h)²+4(x+h)+2=x²+2xh+h²+4x+4h+2

and then for part b you need to subtract f(x) from part a:

b)f(x+h)–f(x)=x²+2xh+h²+4x+4h+2–x²–4x–2===>

2xh+h²+4h

and for part c divide the answer by h:

c)

[tex] \frac{f(x + h) - f(x)}{h} = = = > \\ \frac{2xh + 4h + {h}^{2} }{h} = = = > \\ 2x + 4 + h[/tex]

and if you limit h by 0 you'll get the derivative of f(x)

When both expressions have the same value,  then they are equal to each other.

The equivalent is the expressions that are in different forms but are equal to the same value.

Consider the expressions 5 + 8k and 8k + 5.

Using k = 3

5 + 8k = 8k + 5

5 + 8(3) = 8(3) + 5

5 + 24 = 24 + 5

29 = 29

Using k = 5

5 + 8k = 8k + 5

5 + 8(5)= 8(5) + 5

5 + 40 = 40 + 5

45 = 45

Learn more about the equivalence on:

brainly.com/question/889935

#SPJ1

Complete question:

Consider the expressions 5 + 8k and 8k + 5. Determine why the expressions are equivalent.

Using k = 3 5 + 8k 8k + 5 5 + 8(3) 8(3) + 5 5 + 24 = 29 24 + 5 = 29

Using k = 5 5 + 8k 8k + 5 5 + 8(5) 8(5) + 5 5 + 40 = 45 40 + 5 = 45

Complete the statements.

If both expressions have the same value after substituting and simplifying two different values for the variable, then they are.

The value of both expressions when k = 3 is and when k = 5 is 45, so the expressions are.

Since both np > 5 and n(1 - p) > 5, the normal curve can be used as an approximation to the binomial distribution.

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The normal approximation can be used if:

In this problem, the parameters are:

n = 107, p = 0.25.

Hence:

More can be learned about the binomial distribution at https://brainly.com/question/24863377

#SPJ1

The probability of selecting two prime numbers is 1/6.

Probability determines the odds that a random event would happen. The odds that the random event would happen lie between 0 and 1.

The probability of selecting two prime numbers  = (number of prime numbers between 1 and 9 / total numbers between 1 and 9) x [(number of prime numbers between 1 and 9 / total numbers between 1 and 9) - 1]

Prime numbers between 1 and 9 = 2, 3, 5, 7

4/9 x 3/8 = 1/6

To learn more about probability, please check: https://brainly.com/question/13234031

#SPJ1

hi,  

smallest value is 8.  

x^2 will always be a positive number regardless of the value of  x.

the smallest value for a positive number is 0, therefore x^2 +8 will never be smaller than 8

The slope of a line parallel to this line is -5 and the slope of a line perpendicular to this line is 1/5

The slope is given as:

m = -5

Parallel line have the same slope.

So, the slope of a line parallel to this line is -5

However, perpendicular lines have their slopes to be opposite reciprocal

This means that:

The slope of a line perpendicular to this line is 1/5

Read more about slope at:

https://brainly.com/question/1884491

#SPJ1

The expected value of betting 32 is -$0.053, making the 4th option the right choice.

In the question, we are asked for the expected value of betting on 32, given that if we bet $1 on the number 32 and win, the house pays $36, and there are 38 slots.

The probability distribution can be shown as:

 x       $35       -$1

p(x)    1/38      37/38

as, if we get 32, which has the probability of 1/38, the winning number, we gain $35, and for the rest, having a probability of 37/38, the losing number, we lose -$1.

Thus, the expected value can be calculated as E(x) = ∑x.p(x).

Thus, the expected value = $35(1/38) + (-$1)(37/38) = -$2/38 = -$0.05263 ≈ -40.053.

Hence, the expected value of betting 32 is -$0.053, making the 4th option the right choice.

Learn more about expected value at

https://brainly.com/question/24151942

#SPJ1

336π square millimeter answer

Step-by-step explanation:

Answer:

336pi square millimeters

Step-by-step explanation:

E2020 Geometry B :3 !!

Answer:

D

Step-by-step explanation:

The missing length of given right triangle is equal to 25.

A triangle is classified as a right triangle when it presents one of your angles equal to 90º.  The greatest side of a right triangle is called hypotenuse. And, the other two sides are called cathetus or legs.

The math tools applied for finding angles or sides in a right triangle are the trigonometric ratios or the Pythagorean  Theorem.

The Pythagorean Theorem says: (hypotenuse)²=(leg1)²+(leg2)² . And the main trigonometric ratios are: sin (x),  cos (x) and tan (x) , where:

[tex]sin(x)=\frac{opposite\ leg}{hypotenuse} \\ \\ cos(x)=\frac{adjacent\ leg}{hypotenuse} \\ \\ tan(x)=\frac{opposite\ leg}{adjacent\ leg}[/tex]

There is another important property, where h²=m*n. See the attached image.

From the previous informations presented, you can solve the given question.

From Pythagorean Theorem you can find h (heigth). Thus,

15²=9²+h²

h²=225-81

h²=144

h=12

If h=12 and m=9, from  h²=m*n you can find n.

h²=m*n

12²=9*n

144=9n

n=144/9

n=16

Therefore, x= m+ n= 9+16=25.

Learn more about Pythagoras theorem here:

brainly.com/question/343682

#SPJ1

Answer: x = 15

Step-by-step explanation:

The formula for calculating the sum of the interior angles of a regular polygon is: (n - 2) × 180°. Where n is number of sides.

sum of angles = (n - 2) × 180

sum of angles = (7 - 2) × 180

sum of angles = 5 × 180

sum of angles = 900°

Now to find the value of x, we have to set each of the interior angles, added up, equal to 900°:

7x + 1 + 10x + 6x + 7 + 10x - 9 + 9x + 4 + 8x + 10 + 9x + 2 = 900

Combine like terms:

(7x + 10x + 6x + 10x + 9x + 8x + 9x) + (1 + 7 - 9 + 4 + 10 + 2) = 900

59x + 15 = 900

59x + 15 - 15 = 900 - 15                     subtract 15 from both sides

59x = 885                                  

59x/59 = 885/59                               divide by 59 on both sides

x = 15

The Cartesian equation of the parametric formulae is x² - y² = 1. Please see the image attached below for further details of the behavior of the function.

In this question we have an hyperbolic function, a kind of transcendent function based on exponential functions. The parametric equations can be rewritten in rectangular coordinates by the using the following property:

sinh² t - cosh² t = 1     (1)

x² - y² = 1

The graph of the Cartesian equation is present in the figure attached below, in which the directions are shown in detail.

To learn more on hyperbolic functions: https://brainly.com/question/2254116

#SPJ1

The transformation from parallelogram LMNO to parallelogram L'M'N'O' is a reflection across the x-axis

The complete question is added as an attachment

From the graph, we have the following highlights:

This means that parallelogram LMNO is reflected across the x-axis to get parallelogram L'M'N'O'

Hence, the transformation from parallelogram LMNO to parallelogram L'M'N'O' is a reflection across the x-axis

Read more about transformation at:

https://brainly.com/question/11709244

#SPJ1

Answer:

  1,000,000

Step-by-step explanation:

The attached place value chart shows the power of ten associated with each number place in a decimal number.

You have ...

  1 × 10⁶ = 1,000,000

(Put the multiplier digit in the appropriate number place, and fill the remaining spaces with zeros. The digits 32,465 on the chart can be ignored.)

__

Additional comment

For powers of 10, the exponent (6 in this case) tells you the number of zeros to the right of the digit 1. That is, 10^6 is 1 followed by 6 zeros:

  1,000,000

The average rate of change of f(x) from x = 5 to x = 8 would be gotten by; B: Substituting 5 for x and 8 for h in the expression x + one-half h + 15

The difference quotient is defined as a measure of the average rate of change of a function over an interval.

The limit of the difference quotient which is the derivative is the instantaneous rate of change.

This differential quotient in calculus is usually expressed as;

[f(x + h) - f(x)]/h

We are given the differential quotient as;

f(x) = x + ¹/₂h + 15

Thus, the average rate of change of f(x) from x = 5 to x = 8 would be gotten by;

Substituting 5 for x and 8 for h in the expression x + one-half h + 15

Read more about Difference quotient at; https://brainly.com/question/18232053

#SPJ1

[tex]\huge\text{Hey there!}[/tex]

[tex]\huge\textbf{Equation:}[/tex]

[tex]\mathsf{-\dfrac{3}{12}}[/tex]

[tex]\huge\textbf{Simplify:}[/tex]

[tex]\mathsf{-\dfrac{3}{12}}[/tex]

[tex]\mathsf{= \dfrac{-3\div 3}{-12\div3}}[/tex]

[tex]\mathsf{= -\dfrac{1}{4}}[/tex]

[tex]\huge\textbf{Therefore, your answer should be:}[/tex]

[tex]\huge\boxed{\frak{- \dfrac{1}{4}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

[tex]5-3=2\\\\6-10=-4\\\\11.6-3=8.6\\\\63-4\times 5=63-20=43[/tex]

So, the first, second, and fourth equations are integers.

The first and last are positive integer and second is negative integer.

Integers come in three types:

Given:

a) 5-3 =2

b) 6-10 = -4

c) 11.6 - 3 =8.6

d) 63 - 4 x 5 =63- 20 = 43

So, among the above first and last are positive integer and second is negative integer.

Learn more about integers here:

https://brainly.com/question/15276410

#SPJ2

The answer is A

sin0 = p/h = 7/25

cos0 = b/h = -24/25

Therefore , p = 7 , b = -24

tan0 = p/b = 7 / -24 = -7/24

Option B. The estimate that would most likey come from the small sample is going to be B. 59 % (+-21%).

The sample space can be gotten rom the margin of error. A smaller sample space would be gotten by dividing with a larger number.

This would give a margin of error that is large. In the second option, we can see that the largest margin of error is ± 21%.

Hence this is the answer to the question.

Read more on sample space here:

https://brainly.com/question/1622051

#SPJ1

Answer:

800

Step-by-step explanation:

zero percent is just no percent...

800 - (0% × 800) =

800 - (0 ÷ 100 × 800) =

800 - (0 × 800) =

800 - 0 =

800

lol

The 0% of 800 is 800

Percentage is a fraction or a ratio in which the value of whole is always 100. For example, if Sam scored 30% marks in his math test, it means that he scored 30 marks out of 100. It is written as 30/100 in the fraction form and 30:100 in terms of ratio.

Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".

Calculating percentage means to find the share of a whole, in terms of 100. There are two ways to find a percentage:

Given:

800 - (0% × 800)

=800 - (0 ÷ 100 × 800)

=800 - (0 × 800)

=800 - 0 =800

Learn more about percentage here:

https://brainly.com/question/15308590

#SPJ2

The height of the right pyramid is 48.53 cm.

A rectangle pyramid is a 3-dimensional shape that is made up of a rectangular base and 4 triangular faces.

Height = ( 3 x Volume of a pyramid) /( area)

Height = (3 x 21452) / 1326 = 48.53 cm

To learn more about rectangle pyramid, please check: https://brainly.com/question/9222686

#SPJ1

Answer:

4 lawns

Step-by-step explanation:

20/5

Binomial

First Degree

Naming and giving the degree of a polynomial can help people understand the different properties of an expression.

Naming Polynomials

Polynomials are named based on the number of terms in the expression.

For example, the expression above has 2 terms. The first being 2x and the second being 4. There are 2 separate terms being subtracted.

There are 3 main types of polynomials

This specific expression is a binomial.

Degree

The degree of a polynomial is the highest exponent in the expression. For example, if the largest exponent is a 6, then the degree is also 6.

In the binomial above, there is no written exponent; however, it can be assumed that the variable "x" has an exponent of 1. Thus, this binomial is of the first degree.

Additionally, when writing a polynomial in standard form, the terms should be written in descending order of exponents.