the cube of the sum of 4 and 9 times x divided by the product of 5 times x and the difference of x and 1​

Answers

Answer 1
Answer:

Answer:

Step-by-step explanation:

(4 + 9x)^3 represents "the cube of the sum of 4 and 9 times x"

and if we divide by "the product of 5 times x and the difference of x and 1," we get

    (4 + 9x)^3

-----------------------

       5x(x - 1)

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Help please I don’t get this

Given the function and the graph below, please answer the following:

Answers

The given quadratic function is

f(x)=(-x-1)^2+3

It represented graphically by an upward parabola

Since the parabola is upward, then it has a minimum vertex

From the graph, the minimum vertex is (-1, 3)

Then let us answer the questions

Maximum point: None

Minimum point: (-1, 3)

To find f(-5), substitute x by 5 in the function above

\begin{gathered} f(-5)=(--5-1)^2+3 \n f(-5)=(5-1)^2+3 \n f(-5)=(4)^2+3 \n f(-5)=16+3 \n f(-5)=19 \end{gathered}

To find f(6), substitute x by 6 in the function above

\begin{gathered} f(6)=(-6-1)^2+3 \n f(6)=(-7)^2+3 \n f(6)=49+3 \n f(6)=52 \end{gathered}

The answers:

f(-5) = 19

f(6) = 52

Help help please I dont know how to do this

Answers

Answer:

50

Step-by-step explanation:

Answer:

83

Step-by-step explanation:

78 + 124 + 75 = 277

360 - 277 = 83

A coin is flipped until 3 heads in succession occur. list only those elements of the sample space that require 6 or less tosses. is this a discrete sample space? explain

Answers

we are given

A coin is flipped until 3 heads in succession occur

so, firstly, we will find sample space

S={HHH , THHH , HTHHH, TTHHH , TTTHHH , HTTHHH , THTHHH , HHTHHHH, ......}

now, we are given that

list only those elements of the sample space that require 6 or less tosses

so, we can see that sample space

S={HHH , THHH , HTHHH, TTHHH , TTTHHH , HTTHHH , THTHHH , HHTHHHH, ......}

There are infinite such possibilities

so, there are infinite number of elements in space

and we know that

discrete sample space will always have finite elements

but we have infinite number of sample space elements here

so, this is not discrete sample space...........Answer

The sample space of flipping a coin until getting 3 heads in a row, and listing the elements that require 6 or fewer tosses.

In this case, we are looking at the sample space of flipping a coin until we get 3 heads in a row. To list the elements of the sample space that require 6 or fewer tosses, we need to consider the possible outcomes:

  • 1 toss: H (head) or T (tail)
  • 2 tosses: HH, HT, or TT
  • 3 tosses: HHH, HHT, HTH, HTT, THH, THT, TTH, or TTT
  • 4 tosses: HHHH, HHHT, HHTH, HHTT, HTHH, HTHT, HTTH, HTTT, THHH, THHT, THTH, THTT, TTHH, TTHT, TTTH, or TTTT
  • 5 tosses: Same pattern as the 4 tosses with an additional H or T at the end
  • 6 tosses: Same pattern as the 5 tosses with an additional H or T at the end

Yes, this is a discrete sample space because each toss of the coin has a finite number of possible outcomes (H or T).

Learn more about Discrete sample space here:

brainly.com/question/32719013

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Please help ASAP. Worth 50 points

Answers

Answer:

the anser is 9.5+1.5n and the second ansr is 48x+16

Answer:

a

Step-by-step explanation:

What the volume of the figure

Answers

Answer:

1,530

Step-by-step explanation:

box 1 (left one): 10*9*9=810

box 2 (right one): 18*4*10=720

720+810=1,530

Answer:

1530 cm^3

Step-by-step explanation:

They are two Rectangular Prism.

prism 1.

length l = 18 cm

width w = 10 cm

height h = 4 cm

diagonal d = 20.976177 cm

total surface area S_tot = 584 cm^2

lateral surface area S_lat = 224 cm^2

top surface area St_op = 180 cm2

bottom surface area S_bot = 180 cm^2

volume V = 720 cm^3

Prism 2.

length l = 10 cm

width w = 9 cm

height h = 9 cm

diagonal d = 16.1864141 cm

total surface area S_tot = 522 cm^2

lateral surface area S_lat = 342 cm^2

top surface area Stop = 90 cm^2

bottom surface area Sbot = 90 cm^2

volume V = 810 cm^3

Add 720 cm^3+810 cm^3 = 1530 cm^3

Agenda: l = length

w = width

h = height

d = diagonal

S_tot = total surface area

S_lat = lateral surface area

S_top = top surface area

S_bot = bottom surface area

V = volume

Formula: Volume of Rectangular Prism:  V = lwh

A city currently has 31,000 residents and is adding new residents steadily at the rate of 1200 per year. If the proportion of residents that remain after t years is given by S(t) = 1/(t + 1), what is the population of the city 7 years from now?

Answers

Answer:

Population of the city after 7 years from now, P(7) = 6370

Given:

Initial Population, P_(i) = 31000

rate, r(t) = 1200 /yr

S(t) = [/tex]\frac{1}{1 + t}[/tex]

Step-by-step explanation:

Let the initial population be  P_(i) = 31000

The population after T years is given by the equation:

P(T) = P_(i)S(T) + \int_(0)^(T)S(T - t)r(t) dt          (1)

Thus, the population after 7 years from now is given by using eqn (1):

P(7) = (3100)/(1 + 7) + 1200\int_(0)^(7)(1)/(8 - t) dt

P(7) = 3875 - 1200ln(8 - t)|_(0)^(7)

P(7) = 3875 - 1200ln(8 - t)|_(0)^(7)

P(7) = 3875 - 1200(ln(1) - ln(8))

P(7) = 3875 + 2495 = 6370