Given a line segment that contains the points A,B, & C in order,if AB = 5x + 4, BC = 4x - 8, and AC = 23, find the length of segment AB.

Select one:
a. 23
b. 9
c. 19
d. 3

Answer:

Step-by-step explanation:

Dont do it. Just take the detention

To prove that I₁ ...In = I₁ · ... · In, we need to show that both sets contain the same elements.

First, we will show that I₁ ...In ⊆ I₁ · ... · In. Let x ∈ I₁ ...In. This means that x can be written as a product of elements, where each element is in one of the ideals I₁,...,In. Since I₁,...,In are R-ideals, this product is also in each of the ideals I₁,...,In. Therefore, x ∈ I₁ · ... · In.

Next, we will show that I₁ · ... · In⊆ I₁ ...In. Let x ∈ I₁ · ... · In. Then x can be written as a product of elements, where each element is in one of the ideals I₁,...,In. By assumption, each ideal I_i has a complement in the form of another ideal J_i such that I_i + J_i = R. Since the product of elements in I_i can be multiplied with elements in J_j without restriction, we can replace each element in the product with an element in its complement. Specifically, let x_i ∈ I_i and y_i ∈ J_i such that x = x₁y₁...x_ny_n. Then each x_i ∈ I_i and y_i ∈ J_i, and since I_i + J_i = R for all i, we can write 1 as a sum of products of elements in the complements J_i. Specifically, 1 = ∑j_1∈J₁...∑j_n∈J_n p(j₁, ... , j_n) where p(j₁, ... , j_n) is a product of elements of the form y_i or y_i y_j where j ≠ i. Multiplying x by this expression, we get:

x = x(∑j_1∈J₁...∑j_n∈J_n p(j₁, ... , j_n)) = ∑j_1∈J₁...∑j_n∈J_n (x₁j₁...x_nj_n)y₁...y_n

Each term in this sum is in I₁...In since each term contains an element from I_i and an element from J_i for each i. Therefore, x ∈ I₁...In.

Combining the two inclusions, we have shown that I₁...In = I₁ · ... · In.

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Answer:

1/7

Step-by-step explanation:

6 + 5 + 4 = 15

There are 15 marbles to start with.

p(event) = (number of desired outcomes)/(total number of outcomes)

First pick (there are 6 desired outcomes out of a total of 15 possible outcomes):

p(r) = 6/15

Now there are 5 red marbles left and a total of 14 marbles left.

Second pick (there are 5 desired outcomes out of a total of 14 possible outcomes):

p(r) = 5/14

These events are independent, so we multiply the two probabilities.

p(r, r) = 6/15 × 5/14

p(r, r) = 3/7 × 1/3

p(r, r) = 1/7

The solution is, the probability that it is not a king given that it is a face card =2/3

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

here, we have,

Total number of cards in a deck = 52

Number of face cards = 12  ( 4 King + 8 others)

The probability that a card is face card P(Face card)= 12//52

                                                                                     =3/13

Number of cards are not king = 8

The probability that a card is face card are not King :

P( Face card and not king )= 8/52

                                            =2/13

Using conditional probability formula ,

P = 2/13/3/13

  =2/3

Hence, the probability that it is not a king given that it is a face card =2/3.

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Answer:

this is in spanish? sorry I can't read spanish

The number of individual outcomes for spinning and rolling one time is 32.

Spinning and rolling are two types of motion that involve a rotation around an axis. Spinning is a type of motion in which an object rotates around a central axis, while rolling is a type of motion in which an object rotates around its own axis as it moves forward. Spinning and rolling motion is often used in everyday activities such as sports, dancing, and transportation. In sports, spinning and rolling can be used to increase momentum and generate power when performing a certain skill.

This is because there are 4 possible outcomes for the spinner, and 8 possible outcomes for the die. Since these outcomes are independent of each other, you can multiply the two together to get 4 x 8 = 32 individual outcomes.

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Step-by-step explanation:

it is simple for such a line.

x goes to -infinity, and therefore y (or f(x)) also goes to -infinity.

x goes to +infinity, and therefore y (or f(x)) also goes to +infinity.

the difference between x and y values is just a constant factor (the slope). that constant factor becomes irrelevant, when the values approach infinity anyway. only the sign is relevant.

but in our case the slope is +1/+2 (the y value increases by +1 for every increase of x by +2).

so, the line (as we can see in the graph) is

y = 1/2 × x - 1

when x goes to +infinity, "-1" is irrelevant, and

1/2 × +infinity = +infinity.

when x goes to -infinity, again, "-1" is irrelevant, and

1/2 × -infinity = -infinity

Answer:

um i think all the panda of fireeeeeeee

Step-by-step explanation:

:D

Answer:

x=86

Step-by-step explanation:

we know that all the angles in a triangle add up to 180 degrees.

if you add 74+20, you get 94. then, subtract 94 from 180 to get 86! sorry if this is wrong i tried my best T^T

PART A

From the figure,

PQ is a tangent (given)

OP is a radius (given)

Therefore, Triangle QOP is a right-angled triangle

So to calculate side OP, we use the Pythagoras theorem

Therefore, OP is equal to 7 units.

PART B

To get line TQ,

TQ = TO + OQ

OQ = 25 (given)

TO = OP (they are both radii of the circle, hence they are the same)

TO = 7

TQ = 7 + 25

TQ = 32

Therefore, TQ is equal to 32 units.

The derivative of the function y = (x²+3)(x-1)² x⁴(x³+5)³ without using the Quotient Rule is calculated by applying the Product Rule and the Chain Rule.
The derivative involves multiple steps, combining the derivatives of each term while considering the chain rule for the nested functions.

To find the derivative of the given function, we can apply the Product Rule and the Chain Rule. Let's break down the function into its individual terms: (x²+3), (x-1)², x⁴, and (x³+5)³.

Using the Product Rule, we can calculate the derivative of the product of two functions. Let's denote the derivative of a function f(x) as f'(x).

The derivative of (x²+3) with respect to x is 2x, and the derivative of (x-1)² is 2(x-1). Applying the Product Rule, we get:

[(x²+3)(2(x-1)) + (x-1)²(2x)] x⁴(x³+5)³

Next, we differentiate x⁴ using the power rule, which states that the derivative of xⁿ is nxⁿ⁻¹. Hence, the derivative of x⁴ is 4x³.

For the term (x³+5)³, we need to use the Chain Rule. The derivative of the outer function (u³) with respect to u is 3u². The derivative of the inner function (x³+5) with respect to x is 3x². Therefore, applying the Chain Rule, the derivative of (x³+5)³ is 3(x³+5)² * 3x².

Combining all the derivatives, we get the final result:

[2x(x²+3)(x-1)² + 2(x-1)²(2x)] x⁴(x³+5)³ + 4x³(x²+3)(x-1)² x³(x³+5)² * 3x².

This expression represents the derivative of the function y = (x²+3)(x-1)² x⁴(x³+5)³ without using the Quotient Rule.

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You have to divide

its 9,165 divided by 13

\(\frac{9165}{13}\) = 205

Teddy it takes 205 trips

to transfer 9,165 in a plane that can hold 13 people per trip

Hope I helped ^-^

Answer:

8 + 4i

Step-by-step explanation:

according to the bi form, the solution to the expression √4+ √−4+√36 + √−4 would be 8 + 4i

The work done by the gas during the isothermal expansion is 331.32 J.

Isothermal Expansion refers to a process in which the temperature of a system stays constant while the volume increases. In this process, an ideal gas expands from 1.1 m³ to 1.8 m³, and the gas constant is R = 8.314 J/(mol K).

The work done by the gas during the isothermal expansion can be calculated as follows:Answer:During an isothermal process, the change in internal energy of the system is zero since the temperature remains constant.

Therefore,ΔU = 0The first law of thermodynamics is given by:ΔU = q + w

where q is the heat absorbed by the system, and w is the work done on the system.Since ΔU = 0 for an isothermal process, the above equation reduces to:w = -q

During an isothermal process, the heat absorbed by the system is given by the equation:q = nRTln(V₂/V₁)Where, n is the number of moles, R is the gas constant, T is the temperature, V₁ is the initial volume, and V₂ is the final volume.

Substituting the given values, we have:q = (1 mol) × (8.314 J/(mol K)) × (293 K) × ln(1.8 m³ / 1.1 m³)q = 331.32 J

Therefore, the work done by the gas during the isothermal expansion is given by:w = -qw = -(-331.32 J)w = 331.32 J

Thus, the work done by the gas during the isothermal expansion is 331.32 J.

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There are 15 cards with numbers from 1 to 15 written on them. Event A is choosing a multiple of 5, which includes the numbers 5 and 10. Event B is choosing an even number, which includes the numbers 2, 4, 6, 8, 10, 12, and 14.

First, we need to determine the number of cards that correspond to each event:

Event A: Multiples of 5 in the range 1-15 are 5 and 10. So, there are 2 cards that correspond to event A.

Event B: Even numbers in the range 1-15 are 2, 4, 6, 8, 10, 12, and 14. So, there are 7 cards that correspond to event B.

To find the probability of choosing a multiple of 5 or an even number, we need to add the probabilities of the two events and subtract the probability of their intersection:

P(A or B) = P(A) + P(B) - P(A and B)

The probability of event A is 2/15, the probability of event B is 7/15. To find the probability of their intersection, we need to determine how many cards satisfy both events. The only card that satisfies both events is 10. Therefore, P(A and B) = 1/15.

Plugging these values into the formula, we get:

P(A or B) = 2/15 + 7/15 - 1/15 = 8/15

Therefore, the probability of choosing a multiple of 5 or an even number is 8/15.

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Answer:

-2 (k+3) > -2k -7 --> -2k-6 > -2k-7

                                +2k       +2k

                                      -6 > -7 = No Solution

Step-by-step explanation:

Answer:

occurred during the same period of time

Step-by-step explanation:

Answer:

Occurred in the same period of time

Step-by-step explanation:

"Studying" and "making" are both past tense, and the word "while" implies it was the same time period.

Hope this helps :)

Answer: the same as,

Step-by-step explanation:

Main effects is a term used to describe the impact an independent variable has on a dependent variable, this is usually averaged across any other independent variable.

Independent variables are variables that do not depend on other variables, they are variables that stand on their own.

Answer:

D. 56 cm

Step-by-step explanation:

Angel H and G are both are 51 degrees, and angle I is 78 degrees.

The two angles (H and G) are equal to each other, but before we know what the angles are, we must find x.

\(5x + 6 = 2x + 33\)

\(3x = 27\)

\(x = 9\)

Plug in x for one equation:

\(5x + 6\)

\(5(9) + 6\)

\( = 51\)

Therefore,

\(m < h = 51 \:\)

and

\(m < g = 51\)

And because we know the angles within a triangle = 180, we subtract 102 from 180 to find m<I:

\(180 - (51 + 51) = \)

\(180 - 102 = \)

\( = 78\)

A geometric serie is given by:

Where:

a1 = First term of the sequence = 420

r= common ratio = 0.8

The srie sconverges if and only if:

Answer:

a. (-4,8)

Step-by-step explanation:

the two lines intersect at this point

The expected utility of Marlee with the ticket from Fony is 28.

The utility function of Marlee is given by u(x) = x+k. Here, k equals 100 if Marlee gets to go to the concert and equals 0 otherwise.

Marlee has $100 to buy tickets to the Fleet Foxes concert in Atlanta. She found two different websites selling tickets, Fony Front Seats and Best Tickets. If she buys a $20 ticket from Fony, there is a 60% chance that the ticket is fake, but she won't know until she gets to the concert.

If she buys a $60 ticket from Best Tickets, the ticket is certainly real. The seat placements for both tickets are identical and it costs $10 in gas to get to the concert.

Marlee's utility function is given as u(x) = x+k, where k equals 100 if Marlee gets to go to the concert and equals 0 otherwise. Her goal is to maximize her utility function.

Marlee is facing a trade-off between the cost of the ticket and the probability of getting a real ticket.

If she buys a $20 ticket from Fony, there is a 60% chance that the ticket is fake, but she won't know until she gets to the concert. Thus, there is a 40% chance that the ticket is real.

So, the expected utility of Marlee with the ticket from Fony is given by,

0.6u(0)+0.4u(100-20-10)=0.6(0)+(0.4)(70)=28

Therefore, the expected utility of Marlee with the ticket from Fony is 28. This indicates that Marlee will not be able to go to the concert if she buys the ticket from Fony Front Seats.

If she buys a $60 ticket from Best Tickets, the ticket is certainly real. Therefore, the expected utility of Marlee with the ticket from Best Tickets is,

u(100-60-10)=u(30)=30+100=130

Therefore, the expected utility of Marlee with the ticket from Best Tickets is 130.

This indicates that Marlee should buy the ticket from Best Tickets to get the maximum utility.

Therefore, Marlee should buy her ticket from Best Tickets because she will receive the maximum utility if she buys the ticket from Best Tickets.

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The given statement in the form of inequality is given as -

c - 6 > 24.

An inequality is used to make unequal comparisons between two or more expressions. For example → ax + b > c

In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.

Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is the statement as -

"Six subtracted from c is greater than 24"

We can write the inequality as -

c - 6 > 24

Therefore, the given statement in the form of inequality is given as -

c - 6 > 24.

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{Question in english -

Six subtracted from c is greater than 24}

Answer:

1^3 cubic feet

Step-by-step explanation:

Step-by-step explanation: Go.dzilla 2 king of monsters is one of the best movies out there in my opinion, right down to the CGI, the movie makers did a fantastic job of creating an emotional attachment to the family in the movie.  

Basically in the movie it starts in a nuclear power plant, the power plant has a melt down, kil.ling the team that went into the core to see what the issue was, the director of the power plants wife died and he knew that it wasn.t normal for the plant to meltdown the way it did, so he dedicates the rest of his life to trying to figure out what really happened there. He even goes as far as to sneak in to the restricted area with his son, when there they find out that they are digging up something from the wreckage, this is the giant moth (it wont let me say the name), The giant moth was feeding on the nuclear radiation and that was what caused the plant to melt down all those years ago. the giant moth then flies across the country searching for nuclear radiation and in turn waking her mate and destroying the place, this awakens Go.dzilla so that he can reassert himself as the ap.ex predator. He finds both the giant moths and kil.ls them and then returns to the bottom of the ocean.

ANSWER

First quadrant

EXPLANATION

Those two trigonometric functions are the reciprocal of the sine and cosine functions:

Therefore:

sinθ is greater than zero for the first and second quadrants.

Also:

cosθ is greater than zero for the first and fourth quadrants.

Hence, for cscθ>0 and secθ>0, angle θ lies in the first quadrant.