What is the standard form of this number? 700,000 + 30,000 + 1,000 + 40 + 6

Answer:

(x+2), (x-4), (x-3)

Step-by-step explanation:

Use the rational root theorem to get started, then factor the remaining quadratic to find:

x^3 − 5x^2 − 2x + 24 = (x + 2)(x − 4)(x − 3)

Explanation:

Let  f(x) =x^3 − 5x^2 − 2x + 24

By the rational root theorem, any rational zeros of  f(x)  must be expressible in the for p/q for integers p, q with p a divisor of the constant term 24 and q a divisor of the coefficient 1 of the leading term.

That means that the only possible rational zeros are the factors of 24, namely:

± 1, ± 2, ± 3, ± 4, ± 6, ± 12, ± 24

Try each in turn:

f(1) = 1 − 5 − 2 + 24 = 18

f(−1) = −1 − 5 + 2 + 24 = 20

f(2) = 8 − 20 − 4 + 24 = 8

f(−2) = −8 − 20 + 4 + 24 = 0

So  x = −2  is a zero and (x + 2) is a factor.

x^3 − 5x^2 − 2x + 24 = (x + 2)(x^2 − 7x + 12)

We can factor  

x^2 − 7x + 12 by noting that 4 × 3 = 12 and 4 + 3 = 7, so:

x^2 − 7x + 12 = (x − 4)(x − 3)

Putting it all together:

x^3 − 5x^2 − 2x + 24  =  (x + 2)(x − 4)(x − 3)

Answer:c

Step-by-step explanation:

The set of numbers that best describes the number of people who participate in the race is given by: Option A: Natural numbers.

Know that all natural numbers are integers, all integers are rational numbers. That means, natural numbers are not irrational.

The count of people participating in the race is going to be in integers, but only non-negative.

Actually the correct option would be 'whole numbers' (whole numbers are 0, 1, 2, ... so they include 0 in addition to natural numbers). It is because it may be that no one participates in the race.

But for the given condition, assuming that at least 1 person participates in the race, we deduce that the number of people participating in race is needed to be a natural number. (as people's count can't be negative, or in fractions, or irrational(which doesn't include integers at all) ).

Thus, the set of numbers that best describes the number of people who participate in the race is given by: Option A: Natural numbers.

Learn more about natural numbers here:

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Answer:

it would be 45%

Step-by-step explanation:

Answer:

18,270,000 Americans

Step-by-step explanation:

8.7 x 210,000,000 = 1827000000

take 2 zeros out of 1827000000

18,270,000

Answer:

the other angle equal 52

we can use the specail trangle 3 4 5

300 400 500

the 38 degrees angle meet 300

and the 52 degrees angle meet 400

so the answer is 300 i dont know if you understand but i hope you are

pls ask in the comments and i will try to explain because my ebgilish the baddest

Answer:

First point: -4 on y axis.

Second point: (2, -5)

Step-by-step explanation:

When graphing, we always set the equation as y=mx+b where m = slope and b = y intercept

y = mx + b

y = [tex]-\frac{1}{2}x-4[/tex]  

Then we plot by starting with the y intercept going four units down, one unit below and two units to the right.

Answer:

The answer is the most reasonable one which I think large is

Step-by-step explanation:

Because it's only 100 grams more and $2 bucks seems like a good deal

Answer:

10, 11, 12

Step-by-step explanation:

simplify the inequlity:

=> 4x > 36

=> x > 9

x = 10, 11, 12...

Answer:

a+s=1650, 3.5a+2s=4650

Step-by-step explanation:

a=adult, s=student

a+s=1650 equation 1

3.5a+2s=4650 equation 2

Answer:

[tex]y=80-\frac{8x}{7}[/tex]

Step-by-step explanation:

15). Given equation is,

     [tex]\frac{x}{7}+ \frac{y}{8}=10[/tex]

     Multiply the equation by 8,

     [tex]8(\frac{x}{7}+ \frac{y}{8})=10\times 8[/tex]

     [tex]\frac{8x}{7}+y=80[/tex]

     Subtract [tex]\frac{8x}{7}[/tex] from both the sides of the equation,

     [tex]\frac{8x}{7}+y-\frac{8x}{7}=80-\frac{8x}{7}[/tex]

     [tex]y=80-\frac{8x}{7}[/tex]

     Therefore, value of the variable 'y' will be,

     [tex]y=80-\frac{8x}{7}[/tex]

Answer:

[tex]slope \ of \ y = -2x + 11, m_{1} = -2\\\\Let \ the \ slope\ of \ the \ new \ line \ be \ m_{2} \\\\ Since \ the \ line \ is \ perpendicular \ to \ the\ given \ line, m_{1} \cdot m_{2} = -1\\\\-2 \cdot m _{2} = -1\\ \\m _{2} = \frac{1}{2} \\\\Equation \ of \ the \ line \ passing \ through (-6, 8) \ slope = \frac{1}{2} \\\\(y - y_{1}) = m_{2}(x-x_{2} )\\\\(y-8) =\frac{1}{2} (x-(-6))\\\\y -8 =\frac{1}{2} (x+6)\\\\y = \frac{1}{2}x +3 +8\\\\y =\frac{1}{2}x + 11[/tex]

option 4

Answer:

496 cm²

Step-by-step explanation:

Area of polygon :

A = 1/2(p * a)

P = perimeter

a = apothem

Perimeter = 5s (pentagon)

s = side length = 18

P = 5 * 18 = 80 cm

a = 12.4

A = 1/2(80 * 12.4)

A = 1/2(992)

A = 496 cm²

Answer:

False

Step-by-step explanation:

Answer:

it's b 12 i think

Step-by-step explanation:

Answer:

{1, 2, 3, 4, 6, 8, 9, 10, 12, 14, 15, 18, 21}

Step-by-step explanation:

A∪B is A union B

which is the elements that appear in either set

Answer:

thers no question

Step-by-step explanation:

Answer: 3¼ hours

Step-by-step explanation:

Number of hours used in baking = 2¾ hours

Number of hours used in cleaning up the kitchen = ½ hour

Therefore, the time used in the kitchen will be the addition of the time used in baking plus the time used in cleaning the kitchen which will be:

= 2¾ + ½

= 2 3/4 + 2/4

= 2 5/4

= 2 + 1¼

= 3¼ hours

Therefore, 3¼ hours was used in the kitchen.

5×45= 225

12×23= 276

276+225= 501

the answer is 501 ^^

Answer:

501

Step-by-step explanation:

my brain duh big brain me little brain you

Answer:

i think -22

Step-by-step explanation:

This question is incomplete, the complete question is;

A study has been done to determine to see if the level of education determines how often people move between different states in America. If a person from the survey that attended college is randomly selected what is the probability that they also lived in 2 or more states during their life? P(2 state or more | College Degree)

                                             Lived in just             Lived in 2 or               Total

                                                1 state                     more states

No High School Diploma           6                                 2                           8

High School Diploma                 14                               16                          30

College Degree                           2                               18                          20

Total                                            22                             36                           58

Options;

a) 0.111

b) 0.310

c) 0.500

d) 0.900

Answer:

The required probability is 0.9

Option d) 0.900 is the correct answer.

Step-by-step explanation:'

Given the data in the question;

Total number of people in the survey or sample size n = 58

Number of people with college degree who live in 2 or more state = 18

P(2 states or more and college degree) = Number of people with college degree who live in 2 or more state / Total number of people in the survey

P(2 states or more and college degree)  = 18 / 58

Also, Total number of people with college degree = 2 + 18 = 20

so, P( College Degree ) =  Total number of people with college degree / Total number of people in the survey

P( College Degree ) = 20 / 58

Therefore, P(2 state or more | College Degree) will be;

⇒ P(2 states or more and college degree) / P( College Degree )

⇒ ( 18 / 58 ) / ( 20 / 58 )

⇒ ( ( 18 / 58 )58 ) / 20

⇒ (( 18 × 58 ) / 58 ) / 20

⇒ 18 / 20

⇒ 0.9

Therefore, The required probability is 0.9

Option d) 0.900 is the correct answer.

Answer:

Midline is at y = 0

Amplitude is; A = 1.5

g(a) = 1.5 sin 0.5x

Period = 4π

Max value; y = 1.5

Min value; y = -1.5

Step-by-step explanation:

From the graph, we know that amplitude is highest point of the graph which is 1.5.

Thus, A = 1.5

Now,period from the graph is distance between where the graph repeats which in this case is 2π + 2π = 4π

Now, equation of this curve is;

y = A sin(B(x + C)) + D

Where;

A is amplitude

B is 2π/period = 2π/4π = ½

C is phase shift

D is vertical shift

The function g(a) that will represent the behavior of the graphed function would be gotten by Plugging in the relevant values but in this case, there are no phase shifts or vertical shifts. Thus, C = D = 0

g(a) = 1.5 sin 0.5x

Midline is the point between the maximum and minimum values.

Max value is at y = 1.5

Min value is at y = -1.5

Midline of both from the graph is at x = -π/2 which is at y = 0

Answer:

17 blocks

Step-by-step explanation:

1/2 = 0.5

10/0.5 = 20 blocks of clay

20 - 3 = 17 given to the students

Answer:

17

Step-by-step explanation:

Answer:

ye

Step-by-step explanation:

Answer:

The lead coefficient is 8

Step-by-step explanation:

This is because it is the biggest number that is right before the x or that is the coefficient.

The leading coefficient of the polynomial is given by C = 3

Polynomials are mathematical expressions involving variables raised with non-negative integers and coefficients(constants who are in multiplication with those variables) and constants with only operations of addition, subtraction, multiplication and non-negative exponentiation of variables involved.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the polynomial equation be represented as A

Now , the value of A is

A = 3x² + 8x + 5

On simplifying the equation , we get

The leading coefficient of a polynomial is the coefficient of the term with the highest degree. In this case, the polynomial 3x² + 8x + 5 has a term with degree 2 (the x² term) and the coefficient of that term is 3

Hence , the lead coefficient of this polynomial is 3

To learn more about polynomial equations click :

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#SPJ2

s = 2b + PH  

s =  4(3 * 4) + (8)(96) =

s = 4(12) + (8)(96)

s =  48 + (8)(96)

s = 48 + 768

s =  816

9514 1404 393

Answer:

  (x, y) = (1, -5)

Step-by-step explanation:

Using a graphing calculator to solve equations such as these is quick and easy. It is one of my favorite methods. The attached graph shows the solution is ...

  (x, y) = (1, -5)

Answer:

a) x* e∧ t/10  =  20 *e∧ t/10 + 2

b) x  =  14,2 gall. In 10 min. we get 14,2 gallons of bleach in the tank

c) After a very long time we will find 20 gallons of bleach in the tank

Step-by-step explanation:

The variation of bleach in water in the tank is Δ(x)t:

Δ(x)t  = [Amount of x added to the tank - Amount of x drain out of the tank]*Δt

Now the amount of x added to the tank is:

Rate of adding* the concentration

Rate of adding =  4 gallons per minute

Concentration  half and half ( water + bleach)  = 0,5

Rate of draining =  4 gallons per minute

Concentration of draining: Unknown but can be expressed as:

x(t)/40. According to this

Δ(x)t  =  [4 * 0,5  -  4 * x(t)/40]*Δt

Dividing by Δt on both sides of the equation and tacking limits we get

dx/ dt    =  2  - x / 10

dx/dt + x/10 =2

Multyiplying by e∧ t/10 on both sides

e∧ t/10* [ dx/dt  +  x/10 ]  =  2 *e∧ t/10

To solve it, integrating the first member is

x* e∧ t/10  =  20 *e∧ t/10 + C

for initial condition t = 0

4    =  20 + C

C = -16

a) x* e∧ t/10  =  20 *e∧ t/10 - 16

b) in 10 minutes

x* e∧ t/10  =  20 *e∧ t/10 - 16

x *e  =  20*e  - 16

x   =   20  -  16/e

x   =  20  -  16/2,718

x   =   20 -  5,88

x  =  14,2  gallons.

c) After a very long time we will find 20 gallons of bleach in the tank

Answer:

Square

Step-by-step explanation:

Answer:

1.15x10^12

Step-by-step explanation: