How many solutions can be found for the equation −4x − 11 = 2(x − 3x) + 13?

None
One
Two
Infinitely many

Answer:

3.96*10⁻¹¹

Step-by-step explanation:

      3.60 *10⁻¹² = 3.60 * 10⁻¹⁻¹¹

                        = 3.60*10⁻¹ * 10⁻¹¹

                        = 0.360 * 10⁻¹¹

3.60*10⁻¹² + 3.60*10⁻¹¹ = 0.36 *10⁻¹¹ + 3.60 * 10⁻¹¹

                                    = ( 0.36 + 3.60)*10⁻¹¹

                                    = 3.96*10⁻¹¹

Using the Well-Ordering Principle (WOP), it can be proven that in every tournament with n players (where n is a natural number), there is at least one top player, defined as someone who either beats every other player or beats someone who beats the other player.

We will prove this statement by contradiction. Assume that there exists a tournament with n players where there is no top player. This means that for each player, there exists either another player who beats them or a chain of players such that each player beats the next one. Now, consider the set S of all players in this tournament. Since S is a non-empty set of natural numbers, it has a least element, let's say k.

Now, player k either beats every other player in the tournament, making them a top player, or there exists a player, let's say player m, who beats player k. In the latter case, we have a chain of players: k, m, p_1, p_2, ..., p_t, where p_1 beats p_2, p_2 beats p_3, and so on until p_t.

However, this contradicts the assumption that there is no top player, as either player k beats every other player (if m does not exist), or player m beats someone who beats the other player (if m exists). Hence, by contradiction, we have shown that in every tournament with n players, there is at least one top player.

Learn more about non-empty set here:

https://brainly.com/question/1581607

#SPJ11

Answer:

R and S

Step-by-step explanation:

Given

See attachment for plot

Required

Point on ray PQ

A ray is a line with a starting point, and  extends infinitely in the other direction.

So;

Ray PQ implies that.

P is the starting point, and it extends towards Q direction (however, it is endless).

Towards the direction of Q, we have points R and S.

This implies that R and S are on ray PQ.

A function takes values in the form of Arguments, performs a calculation, and returns a Result.

Functions are pre-written formulas that carry out calculations by utilizing particular values, referred to as inputs, in a given order, or structure.

Using specified data in a particular order, a function is a preset formula that conducts calculations. Common functions that can be used to rapidly determine the sum, average, count, maximum value, and minimum value for a range of cells are included in all spreadsheet systems.

The Excel Text functions section includes the VALUE Function[1]. A text string that denotes a number will be changed into a number. So, when text is presented in a format that is known to be a number, date, or time, the function will change it into a numeric value.

argument. a parameter that is passed to a function when it is called. The function's corresponding parameter is given this value. The argument may come from a formula that includes operators, operands, and calls to other useful functions.

A function is an equation with a single solution for y for each value of x. Each input of a particular type receives exactly one output when using a function. Instead of y, a function is frequently named f(x) or g(x). When x equals 2, we should determine our function's value because f(2) says to do so.

Therefore,

A function takes values in the form of Arguments, performs a calculation, and returns a Result.

To learn more about Function problems visit :

brainly.com/question/21145944

#SPJ4

Answer: A y = -(2x+8)

Step-by-step explanation:

The first line is y=-2x-8

Thus, the answer that simplifies to y = -2x-8 is the answer.  

a) y=-(2x+8)

Distribute

y=-2x-8

Because it works, no need to try the others.

Hope it helps <3

Answer:

\(\boxed{y = -(2x + 8)}\)

Step-by-step explanation:

For the two lines to have infinite \(\infty\) solutions, the two equations must be the same.

First equation : y = -2x - 8

A. y = -(2x + 8)

   y = -2x - 8 correct

B. y = -2(x - 8)

   y = -2x + 16 incorrect

C. y = -2(x - 4)

   y = -2x + 8 incorrect

D. y = -(-2x+8)

    y = 2x - 8 incorrect

y = -2x - 8 and y = -(2x + 8) when graphed are the same, they intersect at infinite points and there are infinite solutions.

Answer:

Step-by-step explanation:

Answer:

yes look at the eslotp uudh

Both betas and correlation coefficients can tell you something about the direction of a relationship. The corect option is D.

The coefficient of variation is a ratio which is used to show the level dispersion of values or treatments around the mean of a set of values.

The coefficient of variation is the ratio of the standard deviation to the mean of a set of numbers or treatments. The higher the coefficient of variation the higher the dispersion from the mean.

The coefficient of variation is the best measure of risk for an isolated single asset. Beta is the a measure of how volatile a particular stock is compared to the market.

To know more about correlation coefficient follow

https://brainly.com/question/4219149

#SPJ5

Answer:

m∠1 = 88°

m∠2 = 92°

Step-by-step explanation:

From the given figure lines 'k' and 'm' are the parallel lines and line 'L' is the transversal line,

m∠1 + 92° = 180° [Sum of consecutive exterior angles is 180°]

m∠1 = 180 - 92

m∠1 = 88°

m∠1 + m∠2 = 180° [Linear pair of angles are supplementary angles]

88° + m∠2 = 180°

m∠2 = 180 - 88

m∠2 = 92°

2x2=10

Step-by-step explanation:

2x2==2+2=4

4+6=10

Answer:

A you multiply them all together

The simplified form of the expression -6w + (–8.3) + 1.5+ (–7w) is -13w - 6.8.

Given the expression in the question;

-6w + (–8.3) + 1.5+ (–7w)

To simplify, first remove the parenthesis

Note that;

-6w + × - 8.3 + 1.5 + × - 7w

-6w - 8.3 + 1.5 - 7w

Next collect and add like terms

-6w - 7w - 8.3 + 1.5

Add -6w and -7w

-13w - 8.3 + 1.5

Add -8.3 and 1.5

-13w - 6.8

Therefore, -13w - 6.8 is the simplified form.

Learn more about expressions here: https://brainly.com/question/28959918

#SPJ1

Where the above conditions exist,

The random variable T = L + C represents the total time it takes Lorelei and Chance to finish a randomly selected 3-layer wedding cake. Since L and C are independent and Normally distributed, T is also Normally distributed with mean:

Mu_T = Mu_L + Mu_C = 37 + 52 = 89

and variance:

Var(T) = Var(L) + Var(C) = 12^2 + 7^2 = 193

So the standard deviation of T is:

Sigma_T = sqrt(Var(T)) = sqrt(193) = 13.89

The shape of T is also Normally distributed, since it is a sum of two independent Normally distributed variables.

To find the probability that Lorelei and Chance finish a randomly selected 3-layer wedding cake in under 90 minutes, we need to calculate the z-score for this value and then find the corresponding probability from the z-table. The z-score is:

z = (90 - 89) / 13.89

= 0.072

From the z-table, we find that the probability of a Z-score less than or equal to 0.072 is 0.5287.

Therefore, the probability that Lorelei and Chance totally finish a randomly selected 3-layer wedding cake in under 90 minutes is 0.5287 or approximately 53%.

Learn more about probability  at:

https://brainly.com/question/30034780

#SPJ1

Answer:

8%

Step-by-step explanation:

32÷4=8

i hope this helps ^^

Answer:

ok so it's going to be  

8%

you just have to devide 32 by 4

32÷4=8

The volume of the figures are;

6. Volume of the cylinder is approximately  11259 in³

7. Volume of cylinder is approximately 14476 mm³

8. Volume of box is 2808 ft³

From the question, we are to calculate the volume of the given figures

6.

The volume of a cylinder can be calculated by using the formula,

Volume = πr²h

Where r is the radius

and h is the height

In the diagram,

Diameter = 32 in

Therefore,

Radius = 16 in

Height = 14 in

Thus,

Volume of the cylinder = π × 16² × 14

Volume of the cylinder = 11259 in³

7.

First we will determine the diameter of the cylinder and then the radius

Let the diameter be d

by using the Pythagorean theorem,

40² = d² + 32²

d² = 40² - 32²

d² = 576

d = √576

d = 24

Therefore,

Radius = 12 mm

Height = 32mm

Then,

Volume of cylinder = π × 12² × 32

Volume of cylinder ≈ 14476 mm³

8.

Volume of box = Length × Width × Height

Volume of box = 39 ft × 12 ft × 6 ft

Volume of box = 2808 ft³

Learn more on Calculating volume here: https://brainly.com/question/29595805

#SPJ1

Answer:

here's what I got

Step-by-step explanation:

3 roses and 8 tulips

A parallelogram possesses rotational symmetry of order 2, but no line symmetry.

The rotational symmetry of a parallelogram:

Therefore, a parallelogram possesses rotational symmetry of order 2, but no line symmetry.

Know more about rotational symmetry here:

https://brainly.com/question/20096747

#SPJ4

Answer:

in picture ....

Step-by-step explanation:

a) About 4.16% of test takers earn a score less than 500 on the GRE Chemistry test.

b) About 96.64% of test takers earn a score greater than or equal to 900 on the GRE Chemistry test.

c) The estimated score at the 99th percentile on the GRE Chemistry test is approximately 954.512.

To answer these questions, we'll use the properties of the normal distribution and the given mean and standard deviation.

(a) To find the percentage of test takers who earn a score less than 500 on the GRE Chemistry test, we need to calculate the cumulative probability up to the score 500.

z-score = (X - mean) / standard deviation

where X is the score we are interested in.

z-score = (500 - 694) / 112

z-score ≈ -1.732

Now, we look up the cumulative probability for a z-score of -1.732 in the standard normal distribution table or use a calculator to find that the cumulative probability is approximately 0.0416 or 4.16%.

So, about 4.16% of test takers earn a score less than 500 on the GRE Chemistry test.

(b) To find the proportion of test takers who earn a score greater than or equal to 900, we need to calculate the cumulative probability from 900 to positive infinity.

z-score = (X - mean) / standard deviation

where X is the score we are interested in.

z-score = (900 - 694) / 112

z-score ≈ 1.839

Now, we look up the cumulative probability for a z-score of 1.839 in the standard normal distribution table or use a calculator to find that the cumulative probability is approximately 0.9664 or 96.64%.

So, about 96.64% of test takers earn a score greater than or equal to 900 on the GRE Chemistry test.

(c) To estimate the score at the 99th percentile on the GRE Chemistry test, we need to find the value that separates the lowest 99% of the scores from the highest 1%.

We use the z-score formula to find the z-score corresponding to the 99th percentile:

z-score = invNorm(0.99)

z-score ≈ 2.326

Now, we use the z-score to find the score corresponding to the 99th percentile:

X = mean + (z-score * standard deviation)

X = 694 + (2.326 * 112)

X ≈ 694 + 260.512

X ≈ 954.512

So, the estimated score at the 99th percentile on the GRE Chemistry test is approximately 954.512.

To learn more on Z-score click:

brainly.com/question/18558246

#SPJ4

we conclude that △ACO is congruent to △BCO by the side-angle-side (SAS) congruence theorem.

We are given that angle AOB is a central angle of circle O and that angle ACB is a circumscribed angle of circle O. We see that AO ≅ BO because they are radii of the same circle.

We also know that AC ≅ BC since they are both tangent to the same circle and intersect at point C.

Thus, angle ACB and angle AOB have the same measure, which means that triangle ACO and triangle BCO are isosceles with AC ≅ BC and ∠ACO ≅ ∠BCO.

Using the reflexive property, we see that angle COA is congruent to angle COB since they are both vertical angles.

Therefore, we conclude that △ACO is congruent to △BCO by the side-angle-side (SAS) congruence theorem.

To learn more about congruence theorem:

https://brainly.com/question/19258025

#SPJ4

Answer:

(x + 1)(3x - 10)

Step-by-step explanation:

Given

3x² - 7x - 10

Consider the factors of the product of the x² term and the constant which sum to give the coefficient of the x- term.

product = 3 × - 10 = - 30 and sum = - 7

The factors are + 3 and - 10

Use these factors to split the x- term

3x² + 3x - 10x - 10 ( factor the first/second and third/fourth terms )

3x(x + 1) - 10(x + 1) ← factor out (x + 1) from each term

(x + 1)(3x - 10), thus

y = (x + 1)(3x - 10) ← in factored form

Answer: 15 ways

Step-by-step explanation: 5+4+3+2 + 1 = 15

Answer:

15.

Step-by-step explanation:

That would be the number of combinations of 2 from 6.

6C2

= 6! /4!2!

=  6*5/2*1

= 15.

Answer:

65

Step-by-step explanation:

Since 39 is 60%, 100/60= 1 2/3

39*1 2/3 is 65

Answer

(3x-3)

Step-by-step explanation:

With the help of the substitution method, we know that the value of x is 6 in the given linear equations.

The system of linear equations is:

Substitute the value of 'y' from (1) into (2):

Solve the result as follows:

Therefore, with the help of the substitution method, we know that the value of x is 6 in the given linear equations.

Know more about the substitution method, here

brainly.com/question/22340165

#SPJ13

Answer:

1) The image of the line has the same slope as the pre-image but a different y-intercept.

hope this helps ;)

Answer:

21 is the answers to your question

the sample space for counting the number of free throws made by the basketball player in the game consists of all the possible combinations of successful and unsuccessful shots, ranging from 0 to 8 makes.

the sample space for the basketball player's free throws is considered.

to determine the sample space, we need to identify all the possible outcomes for the number of successful free throws made by the player. In this case, each free throw can result in either a make or a miss, giving two possibilities for each attempt. With a total of 8 free throws, the sample space will consist of all the combinations of makes and misses, ranging from 0 makes to 8 makes.

For example, the sample space could include outcomes such as {0 makes, 8 misses}, {1 make, 7 misses}, {2 makes, 6 misses}, and so on, up to {8 makes, 0 misses}.

Learn more about sample space here:

https://brainly.com/question/30206035

#SPJ11

Answer:

B.

Step-by-step explanation:

Product AB =

( 1 - (-4*2),  7 - 4*11)

(-3 -2(2),  -21 + 22)

(7*1 + -5(-2), 7*7 + -5*11)

= ( 9,  -37}

  (-7,    1  )

  (17,  -6  )

It will take approximately 10.79 months (or about 11 months) for the amount of mold to reach 1000 micrograms.

What is exponential growth?

Growth that grows by a fixed percentage is referred to as exponential growth.

In this case, the rate of change is proportional to the present value of the function. In plainer language, we can state that growth becomes exponential when it speeds up in relation to the expanding total number.

To solve this problem, we can use the formula for exponential growth:

\(N(t) = N0 * e^{(rt)\)

Where N(t) is the amount of mold present at time t, N0 is the initial amount of mold, r is the growth rate (which is ln(3)/3, since the mold triples every 3 months), and t is the time elapsed in months.

Let's start with the initial amount of mold, which is given as 5 micrograms:

N0 = 5 micrograms

To find the amount of mold present in 6 months, we can substitute t = 6 into the formula and simplify:

\(N(6) = N0 * e^{(rt)} = 5 * e^{[(ln(3)/3)*6]\) ≈ 45.66 micrograms

Therefore, there will be approximately 45.66 micrograms of mold present in 6 months.

To find the amount of mold present in 1 year (12 months), we can substitute t = 12 into the formula and simplify:

\(N(12) = N0 * e^{(rt)} = 5 * e^{[(ln(3)/3)*12]\) ≈ 329.49 micrograms

Therefore, there will be approximately 329.49 micrograms of mold present in 1 year.

To find the amount of mold present in 5 years (60 months), we can substitute t = 60 into the formula and simplify:

\(N(60) = N0 * e^{(rt)} = 5 * e^{[(ln(3)/3)*60]\) ≈ 7549.59 micrograms

Therefore, there will be approximately 7549.59 micrograms of mold present in 5 years.

Finally, to find out how long it will take to get 1000 micrograms of mold, we can set N(t) equal to 1000 and solve for t:

\(1000 = 5 * e^{[(ln(3)/3)*t]}\)

ln(200) = ln(3) * (t/3)

t ≈ 10.79 months

Therefore, it will take approximately 10.79 months (or about 11 months) for the amount of mold to reach 1000 micrograms.

Learn more about exponential growth on:

https://brainly.com/question/10284805

#SPJ1

A disk with a radius of 0.1 m is spinning about its center with a constant angular speed of 10 rad/sec. The speed of the bug is equal to the tangential speed of a point on the rim of the disk, which can be given by: v = rωWhere:r = 0.1 m (the radius of the disk)ω = 10 rad/sec (the angular speed of the disk)Therefore, the speed of the bug is: v = rω= 0.1 m x 10 rad/sec= 1 m/s

The acceleration of the bug can be given by: a = rαWhere:α = α (angular acceleration)The angular acceleration is zero because the disk is spinning at a constant angular speed. Hence, the acceleration of the bug is zero or a = 0 m/s². Therefore, the correct option is option 2) 1 m/s and 0 m/s² (Disk spins at a constant speed).

Know more about angular speed:

https://brainly.com/question/29058152

#SPJ11