–10x + 5 = –15 need help pls

\((1+ x)^{-4}\) = 1-4x +10 x^2 +10 x^2 -20 x^3 +................. is the required maclaurin series for the function 1 / \((1+x)^{4}\) . and explained in detailed as ;

we know that the maclaurin says that :

\((1+x)^{k}\) = 1+ kx + k(k-1) x^2 /2! + k(k-1)(k-2) x^3/3! +.............

hence the value of k = -4  then on substituting we get,

\((1+ x)^{-4}\) = 1+ (-4) x + (-4)(-4-1)x^2 /2 +..........

(1+ x)^{-4} = 1- 4x + 20 x^2 /2 - 120 x^3 /6 + ...........

(1+ x)^{-4} = 1-4x +10x^2-20x^3 +.........

hence the equation of maclaurin series for the function is

(1+ x)^{-4}  = 1-4x +10 x^2 +10 x^2 -20 x^3 +.................

To know more about maclaurin , click here :

brainly.com/question/12313865

#SPJ4

The probability:  P(A, A) if two cards are randomly selected with replacement is one ninth. Option B

You should be aware that probability is the chance of occurance of an event.  the probability of an event is written thus

P(E) = Number of required outcome divided by the total number of possible outcomes

The possible outcomes are the spelling the word ADD,

The probabilities are 1/3, 1/3, 1/3 respectively.

So, P(A, A) if two cards are randomly selected with replacement will be

P(A, A) = 1/3 * 1/3

Therefore the probability of the event is 1/9

Learn more about probabilities on https://brainly.com/question/30034780

#SPJ1

Answer: one ninth i took the test

Step-by-step explanation:

Answer:

1.5 x 10 ^4

Step-by-step explanation:

Answer:

1.5 x 10 ^4

Step-by-step explanation:

hello hope this helps

The function composition exists an operation " ∘ " that brings two functions f and g, and has a function h = g ∘ f such that h(x) = g(f(x)).

Let the functions be f(x) = 4x² + 1 and g(x) = x² - 3

The correct answer is (f o g)(x) = 4x⁴ - 96x + 37 and

(g o f)(x) = 16x⁴ + 8x² - 2.

The function composition exists an operation " ∘ " that brings two functions f and g, and has a function h = g ∘ f such that h(x) = g(f(x)). In this operation, the function g exists used for the outcome of applying the function f to x.

Given:

f(x) = 4x² + 1 and g(x) = x² - 3

a) (f o g)(x) = f[g(x)]

f[g(x)] = 4(x² - 3)² + 1

substitute the value of g(x) in the above equation, and we get

    = 4(x⁴ - 24x + 9) + 1

simplifying the above equation

    = 4x⁴ - 96x + 36 + 1

    = 4x⁴ - 96x + 37

(f o g)(x) = 4x⁴ - 96x + 37

b) (g o f)(x) = g[f(x)]

substitute the value of g(x) in the above equation, and we get

g[f(x)] = (4x² + 1)²- 3

      = 16x⁴ + 8x² + 1 - 3

simplifying the above equation

      = 16x⁴ + 8x² - 2

(g o f)(x) = 16x⁴ + 8x² - 2.

Therefore, the correct answer is (f o g)(x) = 4x⁴ - 96x + 37 and

(g o f)(x) = 16x⁴ + 8x² - 2.

To learn more about the function refer to:

https://brainly.com/question/26709985

#SPJ9

Answer:

hi

Step-by-step explanation:

i think it is 52/65

hope it helps

have a nice day

Answer:

rational number

Step-by-step explanation:

it doesnt keep going ,it stops unlike pi were pi continues to go on forever

Answer:

Its rational

Step-by-step explanation:

Rational numbers can be made by dividing 2 integers. And it's a either a termination or repeating decimal.

And 15.625 is a terminating decimal.

Answer:

13

Step-by-step explanation:

8.4 = 13-4.6

8.4 = 8.4

Answer: y=13

Step-by-step explanation:

The inequality equation for the measurements of the rectangular field must satisfy t<225.

If two real numbers or the algebraic expressions are related by the symbols “>”, “<”, “≥”, “≤”, then the relation is called an inequality.

The length of the rectangle is 2t meters

the breadth of the rectangle is 50 meters

The perimeter of the rectangle is given by 2×(length+breadth)

Here the perimeter of rectangle is less than 1km=1000meter

Forming an equation with the given data

2×(2t+50)<1000

2t+50<\(\frac{1000}{2}\)

2t+50<500

2t<500-50

2t<450

t<\(\frac{450}{2}\)

t<225

To know more about inequality visit:

https://brainly.com/question/20383699

#SPJ4

The correct question is "A rectangular field has these measurements kim walks around the edge of the field. she walks less than 1km. form and solve an equality to find the possible values of t when length of the field is 2t meters and breadth is 50 meters"

26. The equation in slope-intercept form is y = 3x + 20.

27. The equation in slope-intercept form is y = (1/4)x - 11.

30. The equation in point-slope form is y - (-3) = -6(x - 2)

31. The equation in slope-intercept form is y = -6x + 9.

The equation is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are equal.

26.

y-8 = 3(x+4)

y - 8 = 3x + 12  (distribute the 3)

y = 3x + 12 + 8 (add 8 to both sides)

y = 3x + 20

The equation in slope-intercept form is y = 3x + 20.

27.

y+5= (1/4)(x-24)

y + 5 = (1/4)x - 6

y = (1/4)x - 6 - 5

y = (1/4)x - 11

The equation in slope-intercept form is y = (1/4)x - 11.

To find the equation of a line with a slope of -6 that goes through (2,-3), we can use the point-slope form.

Point-slope form:

y - y₁ = m(x - x₁) where m is the slope and (x₁,y₁) is the point

Substituting m = -6, x₁ = 2, and y₁ = -3, we get:

y - (-3) = -6(x - 2)

y + 3 = -6x + 12

y = -6x + 9

The equation in slope-intercept form is y = -6x + 9.

Learn more about the equation here:

brainly.com/question/10413253

#SPJ1

Answer:

26 customers

Step-by-step explanation:

Represent customers entering as y and those buying hot dogs as x

\(y = 4x + 9\)

\(y = 3x + 35\)

Required

Determine the number of people buying hotdogs (x)

Substitute 4x + 9 for y in the second equation

\(4x + 9 = 3x + 35\)

Collect Like Terms

\(4x - 3x = 35 - 9\)

\(x = 26\)

Answer:

(2,7)

Step-by-step explanation:

not sure if this is correct though

Answer: A, B and D.

Step-by-step explanation:

We have two numbers, x and y.

And we know that:

x + y is a negative number.

Then it can happen if:

1) x and y are negative numbers.

remember that when we add two negative numbers, for example -2 and -3 we have:

-2 + (-3) = -5

The sum of two negative numbers is always negative.

2) we have a positive and a negative number, but the absolute value of the negative number is larger than the absolute value of the positive.

For example, if we have -5 and 3.

The positive number is 3 and the negative is -5

and I-5I > I3I

Then when we add those:

-5 + 3 = -2

The result is also a negative number.

Then the correct options are:

A. Both numbers are negative.

B. x is negative, and |x| > |y|. (here says that the negative number is larger in absolute value than the other)

D. y is negative, and |x| < |y|. (this is similar as above, but in this case the negative number is y)

The answer of the given question is y = 7x – 48. This is the result of the equation of the line through (6,−6) (6,−6) left parenthesis, 6, comma, minus, 6, right parenthesis and (8,8) (8,8) left parenthesis, 8, comma, 8, right parenthesis. This result is generated by using point-slope formula.

What is slope formula?

Slope formula is required to calculate the inclination of a line. For calculating the slope of a line, x and y coordinates of the points on the line are required. Ratio of change in y coordinates and change in x coordinates is called the slope of a line.

Slope (m) = change in y / change in x = Δy / Δx

Thus, in this case, the calculation as follows:

m = Δy / Δx

= 8 – (–6) / 8 – 6

= 14 / 2

= 7

Now, use the point-slope formula:

y – y1 = m (x – x1)

y – 8 = 7 (x – 8)

y = 7x – 56 + 8

y = 7x – 48

Hence, the result is y = 7x – 48.

Learn more about slope at: https://brainly.com/question/24578307

#SPJ4

Answer:

y = 13/4x-21

Step-by-step explanation:

Khan Academy

A mathematical operation that is easily performed but highly unlikely to reverse in a reasonable amount of time is known as a "one-way function." One-way functions are fundamental to cryptography, particularly in areas like secure hashing and public-key encryption. These functions are designed to be simple and efficient to compute in one direction but extremely difficult and time-consuming to reverse.

A prime example of a one-way function is the multiplication of two large prime numbers. Multiplying them is a straightforward task, but attempting to factorize the product back into its original primes, known as the "prime factorization problem," is considered computationally infeasible for large numbers. This asymmetry in complexity is utilized in cryptographic systems, such as the RSA encryption algorithm, to ensure the security of sensitive information.

In summary, one-way functions are mathematical operations that can be easily performed but are highly challenging to reverse. Their properties make them invaluable in the realm of cryptography, where they provide the foundation for secure communication and data protection.

To know more about mathematical operation visit:

https://brainly.com/question/20628271

#SPJ11

The probability that a player will get an extra turn is 1/2 or 50%.

There are four possible outcomes when a player spins the spinner: 1, 2, 3, or 4. The probability of spinning a one or a three is 2/4 or 1/2, since there are two favorable outcomes out of four equally likely outcomes.

If a player spins a one or a three, they get an extra turn, which gives them another chance to spin the spinner. Since the probability of spinning a one or a three is 1/2, the probability of getting an extra turn is also 1/2.

Therefore, the probability that a player will get an extra turn is 1/2 or 50%.

Learn more about Probability here

https://brainly.com/question/22440925

#SPJ4

Answer:

Its 25%

Step-by-step explanation:

The percent population that will grow in a decade is 28% option (3) 28% is correct.

It is defined as the function that rapidly increases and the value of the exponential function is always positive. It denotes with exponent y = a^x

where a is a constant and a>1

We have:

\(\rm P(t) = 2,500(1.025)^t\)

Plug t = 10

\(\rm P(10) = 2,500(1.025)^{10}\)

P(10) = 3200

Percent grow = [(3200 - 2500)/2500]×100

Percent grow = 28%

Thus, the percent population that will grow in a decade is 28% option (3) 28% is correct.

Learn more about the exponential function here:

brainly.com/question/11487261

#SPJ2

Answer:

6m

Step-by-step explanation:

m =number of M&M's

3m=number of peanuts

2m=number of raisins

m+3m+2m=total number of pieces of food=6m

The sphere equation x^2 + y^2 + z^2 = 6z becomes:
ρ^2 = 6ρcos(φ)
The cone equation z = √(x^2 + y^2) becomes:
ρcos(φ) = ρsin(φ)
So, the solid lies within the region described by the inequalities:
ρ ≤ 6cos(φ) and ρcos(φ) ≥ ρsin(φ)
These inequalities, along with 0 ≤ θ ≤ 2π and 0 ≤ φ ≤ π, define the solid in spherical coordinates.

To describe the solid in terms of inequalities involving spherical coordinates, we first need to convert the given equations to spherical coordinates. In spherical coordinates, we have:

x = r sinθ cosϕ
y = r sinθ sinϕ
z = r cosθ

Substituting these values in the given equations, we get:

r² sin²θ cos²ϕ + r² sin²θ sin²ϕ + r² cos²θ = 6r cosθ
r cosθ = r² sin²θ cos²ϕ + r² sin²θ sin²ϕ

Simplifying these equations, we get:

r = 6 cosθ / (sin²θ cos²ϕ + sin²θ sin²ϕ + cos²θ)^(1/2)
r cosθ = r² sin²θ

Now, the solid lies inside the sphere x2 + y2 + z2 = 6z, which in spherical coordinates becomes:

r² = 6 cosθ

And the solid also lies outside the cone z = x2 y2, which in spherical coordinates becomes:

r cosθ >= r^4 sin^2(θ) cos^2(ϕ) + r^4 sin^2(θ) sin^2(ϕ)
r >= r^3 sin^2(θ) (cos^2(ϕ) + sin^2(ϕ))
r >= r^3 sin^2(θ)

Combining these inequalities, we get the description of the solid in terms of inequalities involving spherical coordinates:

r >= r^3 sin^2(θ) >= (6 cosθ)^(1/2)

This represents the solid that lies inside the sphere x2 + y2 + z2 = 6z and outside the cone z = x2 y2, in terms of inequalities involving spherical coordinates.

Learn more about Coordinates:

brainly.com/question/16634867

#SPJ11

Answer:

30

Step-by-step explanation:

A player answers x correct questions and y incorrect questions for a total of 40 questions.

x + y = 40

The score is obtained by subtracting y incorrect answers from two times the x of correct answers.  The player's score is 50.

2x - y = 50

Use substitution to solve.  Rearrange the first equation so that it is equal to y.  Then, substitute the y-value into the second equation.

x + y = 40

y = 40 - x

2x - y = 50

2x - (40 - x) = 50

2x - 40 + x = 50

3x - 40 = 50

3x = 90

x = 30

Since x was made to represent correct answers, the player had 30 correct answers.

Answer:

0

Step-by-step explanation:

Since

1

is constant with respect to

A

, the derivative of

1

with respect to

A

is

0

.

0

I'm not sure though, I was just trying.

Answer:

3/8 gal

Step-by-step explanation:

\(5\frac{1}{4} \times \frac{1}{6} = \frac{21}{4} \times \frac{1}{6} = \frac{21}{24} = \frac{3}{8} \)

Answer:

<QRS = 55 degrees

Step-by-step explanation:

Given the following

m∠QRS=(10x−1) ∘

∠RPQ=(3x+17) ∘

m∠PQR=(2x+12)

External angle m<QRS = 10x-1

Interior angles are m∠RPQ=(3x+17) ∘ and m∠PQR=(2x+12)

Using the law that the sum of interior angle is equal to exterior

10x + 1 = 3x+17 + 2x + 12

10x+1 = 5x+29

10x-5x = 29-1

5x = 28

x = 28/5

x = 5.6

Get m<QRS

Recall that <QRS = 10x - 1

<QRS = 10(5.6) - 1

<QRS = 56-1

<QRS = 55 degrees

Answer:

5,400,300...........

5004300

........

......

....

...

..

.

The division of 36 acorns among the squirrels would be as follows:
- The black squirrel carries 35 acorns in 7 trips.
- The gray squirrel carries 1 acorn in 1 trip

1. Determine the number of times each squirrel can carry acorns:
  - The brown squirrel can carry 2 acorns at a time, so it will need to make 36 / 2 = 18 trips.
  - The gray squirrel can carry 3 acorns at a time, so it will need to make 36 / 3 = 12 trips.
  - The black squirrel can carry 5 acorns at a time, so it will need to make 36 / 5 = 7 trips.

2. Allocate the acorns to each squirrel:
  - Start by giving the black squirrel 7 trips worth of acorns, which is 7 x 5 = 35 acorns.
  - Since there are only 36 acorns in total, the black squirrel can take all of them.
  - This leaves 36 - 35 = 1 acorn remaining.

3. Distribute the remaining acorn(s) to the other squirrels:
  - If there is only 1 acorn left, it can be given to either the brown or gray squirrel.
  - Since the gray squirrel can carry more acorns per trip, it makes sense to give the remaining acorn to the gray squirrel.

So, the division of 36 acorns among the squirrels would be as follows:
- The black squirrel carries 35 acorns in 7 trips.
- The gray squirrel carries 1 acorn in 1 trip.

This is just one possible way to divide the acorns, considering the carrying capacities of the squirrels. The actual division may vary depending on the specific situation and requirements.

Learn more about division:

brainly.com/question/25289437

#SPJ11

An algebraic expression which models the given context would be written as s + 0.02s = 1.05s.

Price can be define as an amount of money which is primarily set by the seller of a good (product), and it must be paid by a buyer to the seller, so as to enable the acquisition of this good (product).

An algebraic expression can be defined as a mathematical equation which is used to show the relationship existing between two or more variables and numerical quantities.

Let s represent the price of a pair of shoes.

Therefore, an algebraic expression which models the given context would be written as follows:

s + 0.02s = 1.05s.

Read more on algebraic expression here: https://brainly.com/question/17615109

#SPJ4

Answer:

The point E is located at (0, -7)

Answer:

the answer is c

Step-by-step explanation:

square root of 36 = 6 = 6 / 1D. 37 / 100 is already a fraction. Hence, the only number that cannot be written as a fraction is the square root of 48. The answer is C: the square root of 48 is an irrational number.

9514 1404 393

Answer:

  042

Step-by-step explanation:

The first clue tells you the possibilities are ...

  6__, _8_, or __2

The second clue eliminates 6__ and tells you the possibilities are ...

  18_, _81, 1_2, 48_, _42

The third clue tells you two of the correct digits are 0 and 2, since 6 has already been eliminated by the first two clues. This only leaves 042.

042 is consistent with the last 2 clues.

The 3-digit key is 042.

The point that should an open circle be drawn exists (0, 0).

The first equation in the system is f(x) = -x, for x < 0.  

This means when x=0, f(x) = f(0) = 0.

Since we have the inequality x<0, this means at the point (0, 0),

the point will be open and not filled in.

Therefore, the correct answer is option b) (0, 0).

The complete question is:

The function f(x) is to be graphed on a coordinate plane

At what point should an open circle be drawn?

a) (–1, 0)

b) (0, 0)

c) (0, 1)

d) (1, 0)

To learn more about function refer to:

brainly.com/question/11624077

#SPJ4

Answer:

it's a

Step-by-step explanation:

we subtract 9 from the 30 in the other side. that makes 21

3x ≤ 21

x≤7

that means any answer possible is below 7.