Find the rational root of the following :2x^5-3x^3-20x=0

Answer: P(sum is 5 or lower) = 10/36 (not simplified) = 5/18 (simplified)

Step-by-step explanation: The event is {(1,1), (1,2), (1,3), (1,4), (2,1), (2,2), (2,3), (3,1), (3,2), (4,1)}

Answer:

C. 24

Step-by-step explanation:

The probability that a randomly selected student studies more than 27 hours per week is 0.0014.

In statistics, Standard deviation is a measure of the variation of a set of values.

σ = standard deviation of a population

N = number of observations of population

X = mean

μ = population mean

The average number of hours that NAU students spend studying each week is normally distributed with a mean of 25 hours and a standard deviation of 2.5 hours.

So, μ = 25

σ  = 2.5 hours.

[tex]P(X > 27) = P(\frac{x-\mu}{\sigma} } > \frac{27-25}{2.5})\\\\= P(z } > \frac{27-25}{2.5})\\\\[/tex]

= P (z > 1.2)

= 1 -  P (z < 1.2)

= 0.0014

Learn more about standard deviation:

https://brainly.com/question/11448982

#SPJ1

Answer:

D

Step-by-step explanation:

substitute x = - 4 into h(x)

h(- 4) = 3(2 - (- 4) ) = 3(2 + 4) = 3 × 6 = 18

Answer:

D

Step-by-step explanation:

[tex] \frac{3}{10} = 0.3[/tex]

[tex] \frac{1}{3} = 0.333333333[/tex]

[tex]0.333 = 0.333[/tex]

[tex]33\% = 0.33[/tex]

[tex]0.3 < 0.33 < 0.333 < 0.333333333[/tex]

Goblin Birt can take 15 minutes to count the coins in the bag by himself.

The unitary method is a process for solving a problem by first finding the value of a unit, and then finding the necessary value by multiplying the single unit value.

How to calculate how long would it take goblin Birt to count the coins in the bag by himself?

In this problem, the unitary method is to be applied three times.

Here, counting all the coins is considered as the entire work which is considered as 1.

According to the problem,

Goblin guys can count the coins in a bag in 10 minutes.

In 10 minutes Goblin guys can count the coins in the bag.

In 1-minute Goblin, guys can count th part of the coins in the bag.

Again, according to the problem,

Goblin gryh and Goblin Birt both can count all the coins in 6 minutes.

In 6 minutes, Goblin gryh and Goblin Birt both can count all the coins in the bag

In 1 minute, Goblin gryh and goblin Birt both can count  th  part of the coins in the bag.

In 1 minute, Goblin Birt can count ([tex]\dfrac{1}{6}-\dfrac{1}{10}[/tex]  th part of the coins in the bag.

[tex]= (\dfrac{5-3}{30})=\dfrac{1}{15}[/tex] th part of the coins.

We can say, Goblin Birt, can count 1 / 15 th part of the coins in the bag in 1 minute. Goblin Birt himself can count all the coins in the bag in 15 minutes.

To know more  about the unitary method here:

brainly.com/question/24587372

#SPJ1

Answer:

See below

Step-by-step explanation:

IN a right triangle , remember  S-O-H-C-A-H-T-O-A   <===memorize this!

sin z = O/H = opposite side/hypotenuse = 16/20

cos z = A/H = adjacent / hy[potenuse = 12/20

tan z  = O/A = 16/12

Answer:

6 water bottles

An expression that gives the degree of the polynomial is [tex]\rm ax^2+bx+c=0[/tex].

An irreducible quadratic factor is an irreducible factor that is quadratic or has the highest exponent of 2.

An irreducible quadratic factor is an irreducible factor that is quadratic or has the highest exponent of 2.

A nonlinear equation is one in which the maximum degree of a term is two or more than two. When the polynomial equation is with degree two, then it is called a quadratic equation, and it is represented by a standard expression;

[tex]\rm ax^2+bx+c=0[/tex]

Where a is not equal to 0.

The degree of the polynomial is 2.

A quadratic polynomial can be further divided into linear factors. Now, simplify one of the quadratic expressions by completing the square method, which gives two linear factors.

Hence, an expression that gives the degree of the polynomial is [tex]\rm ax^2+bx+c=0[/tex].

Learn more about  irreducible quadratic factors here;

https://brainly.com/question/5766986

#SPJ4

Answer:

f(-2) = 0

General Formulas and Concepts:
Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Functions

Step-by-step explanation:

Step 1: Define

Identify given function.

f(x) = x² - 4

Step 2: Find f(-2)

∴ the function when x = -2 is equal to 0.

---

Learn more about Algebra I: https://brainly.com/question/15995023

---

Topic: Algebra I

Answer:

≈4.24x

Step-by-step explanation:

[tex]\sqrt{18} = 4.24[/tex]

Have a nice day! :)

Answer:

18x

Step-by-step explanation:

because itś squared, and the area of a square is always squared, its 18x

The mean of the number of pets which Spencer has surveyed for five of his friends is number 3.

The mean of the data is the average value of the given data. The mean of the data is the ratio of sum of all the values of data to the total number of values of data.

Spencer has surveyed five of his friends to known that how many pets they have.

His results are shown in the table below.  Cody has 1 Lara has 4 Sam has 5 Ella has 3 Maria has 2. There are total 5 friends. Thus the mean number of pets is:

[tex]\text{Mean}=\dfrac{1+4+5+3+2}{5}\\\text{Mean}=\dfrac{15}{5}\\\text{Mean}=3[/tex]

Thus, the mean of the number of pets which Spencer has surveyed for five of his friends is number 3.

Learn more about the mean of the data here;

https://brainly.com/question/14532771

#SPJ1

Answer:

C.

Step-by-step explanation:

10^2=100

100 shifts the decimal point 2 places to the right

Answer:

Y is on the top

X is on the bottem

Step-by-step explanation:

Answer:

D. 68+(6x+4)=180

x = 18

Step-by-step explanation:

"Supplementary angles" are angles that add up to 180°

So we add the twi angles 68+(6x+4) and that equals to 180°.

68 + 6x + 4 = 180

add 68 and 4

72 + 6x = 180

subtract 72.

6x = 108

divide by 6.

x = 18

Answer: 121.0

Step-by-step explanation:

Answer:

yor mom

Step-by-step explanation:

The function B(t) = 1872(0.83)[tex].^t[/tex] represents the annual population of bees in a county park, the decline rate is 17%.

An equation is an expression that shows the relationship between two or more numbers and variables.

An independent variable is a variable that does not depend on any other variable for its value while a dependent variable is a variable that depends on other variable.

The decline rate will be calculated as below:-

An exponential function is in the form:

y = abˣ

Where a is the initial value and b is the multiplication factor.

From the function :

b = 0.83

The decline rate will be calculated as,

Decline rate = 1 - 0.83 = 0.17 x 100 = 17%

The function B(t) = 1872(0.83)[tex].^t[/tex]  represents the annual population of bees in a county park, the decline rate is 17%.

Find out more on the equation at:

brainly.com/question/2972832

#SPJ5

Answer:

Graph the solution set for the inequalityy > 2x - 5 by following these steps: Step 1: Identifythe slope and y-intercept. slope = y-intercept = -4. 2.

Step-by-step explanation:

Answer:

Jack's final bank account amount will be $54,782.50, earning $7,459.31 in interest.

General Formulas and Concepts:
Algebra I

Compounded Interest Rate Formula: [tex]\displaystyle A = P \bigg( 1 + \frac{r}{n} \bigg) ^{nt}[/tex]

Step-by-step explanation:

Step 1: Define

Identify given variables.

P = $47,323.15

r = 0.05

n = 1

t = 3

Step 2: Find Interest

∴ Jack will gain $7,459.31 and have a net balance of $54,782.50.

---

Learn more about Algebra I: https://brainly.com/question/27710663

---

Topic: Algebra I

Answer: Heyaa!~

Your Answer is... 15/2 in its exact form!

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Hopefully this helps you! ~

Answer:

(3x+8)°+(x+4)° = 180,

x=42

Step-by-step explanation:

They are linear pairs, so the two angles are supplementary or add up to 180°.

1. Format the equation (3x+8)°+(x+4)° = 180

2. Simplify like terms 4x + 12 = 180

3. Subtract 12 on both sides, 4x=168

4. Divide 4 on both sides, x=42

5. Answer is x=42

Answer:

3

Step-by-step explanation:

2(x + 1) = 3(5 - x) + 2

Distribute,

2(x + 1) = 3(5 - x) + 2

2x + 2 = 3(5 - x) + 2

Rearrange terms,

2x + 2 = 3(5 - x) + 2

2x + 2 = 3(-x + 5) + 2

Distribute,

2x + 2 = 3(-x + 5) + 2

2x + 2 = -3x + 15 + 2

Add the numbers,

2x + 2 = -3x + 15 + 2

2x + 2 = -3x + 17

Subtract 2 from both sides,

2x + 2 = -3x + 17

2x + 2 - 2 = -3x + 17 - 2

2x  = -3x + 17 - 2

2x  = -3x + 15

Add 3x to both sides,

2x  = -3x + 15

2x + 3x  = -3x + 3x + 15

5x  = -3x + 3x + 15

5x  =  15

Divide both sides by the same factor (15),

5x  =  15

5x/5 = 15/5

x = 15/5

x = 3

Hence, the answer is 3.

Answer:

B.

Step-by-step explanation:

The range is all real numbers

It will indefinitely go up and indefinitely go down

Answer:

the vertex represents a maximum

Vertex is (4,7)

f(x)=-(x-4)^2+7

Step-by-step explanation:

Given the function [tex]f(x)=-x^2+8x+9[/tex]

Equation is in the form of y=ax^2+bx+c

[tex]a=-1[/tex]

When 'a' is negative, then vertex is maximum

when 'a' is positive, then vertex is minimum

[tex]a=-1[/tex] is negative, so the vertex represents a maximum

[tex]f(x)=-x^2+8x+9[/tex], factor out negative

Take out negative sign in common

Answer:

the answer is 80

Step-by-step explanation:

QR=ST: 7x+3=5x+25

2x=22

x=11

7(11)+3=80      5(11)+25=80

Answer: 1

Step-by-step explanation:

After I graphed it gave me - y>−4x

- Appreciate if you rate.

Answer:

Perimeter = 61 7/20

Step-by-step explanation:

Perimeter is the distance around the outside of a shape. Add up all the sides. To add fractions you must have a common denominator. See image.