for the function f(x) = 2(8)^x evaluate f(2)

Step-by-step explanation:

the answer C

hope this helps bro

and if u need work shown lemme know

Answer:

- 9 + 12x

Step-by-step explanation:

- 3(3 - 4x) ← multiply each term in the parenthesis by - 3

= - 9 + 12x

The equation that describes the simple harmonic motion of the particle is:

x = 7 * sin(2t + φ)

The equation that describes the simple harmonic motion of a particle moving uniformly around a circle can be represented as:

x = A * sin(ωt + φ)

In this equation:

x represents the displacement of the particle at time t.

A represents the amplitude of the motion.

ω represents the angular frequency or angular speed of the motion.

t represents time.

φ represents the phase constant.

In the given scenario, the particle is moving uniformly around a circle of radius 7 units, with an angular speed of 2 radians per second. In circular motion, the displacement can be represented by the arc length along the circumference of the circle.

Since the angular speed is 2 radians per second, the angular frequency (ω) is also 2 radians per second.

Since the particle is moving uniformly, the amplitude of the motion (A) is equal to the radius of the circle, which is 7 units.

The phase constant (φ) determines the initial position of the particle at t = 0.

for more such questions on harmonic motion

https://brainly.com/question/29159741

#SPJ8

Answer:

-3

Step-by-step explanation:

Convert every fraction to an improper fraction just to make it easier.

43/10 - (12/5x + 11/2) = 1/2 (-18/5x + 6/10)

Distribute.

= 43/10 -12/5x - 11/2 = -18/10x + 6/10

Simplify using the common denominator, which is 10.

43/10 - 24/10x - 55/10 = -18/10 + 6/10

Isolate the x.

-24/10x + 18/10 = -43/10 + 55/10 + 6/10

Simplify.

-6/10x = 18/10

Multiply by the reciprocal (basically dividing fractions)

18/10 x -10/6

= -3

Answer:

x= -3

Step-by-step explanation:

43/10-12/5x-11/2=9/5x+3/5

-6/5=12/5x=-9/5x+3/5

-6-12x=-9x+3

-3x=9

x=-3

Step-by-step explanation:

take any two points of the line and find .

The theoretical probability of spinning green on the spinner, divided into 4 equal-size sections colored red, green, orange, and blue, is ¼ or 25%.

In this scenario, the spinner has four equal-size sections. Since each section is of equal size, the probability of landing on any specific section is the same. Therefore, the probability of spinning green, which is one out of the four possible outcomes, is 1/4 or 25%.

To calculate the theoretical probability, we divide the favorable outcomes (spinning green) by the total possible outcomes. In this case, there is one favorable outcome (green) out of four possible outcomes (red, green, orange, and blue), resulting in a probability of 1/4 or 25%.

It's important to note that theoretical probability is based on the assumption of equally likely outcomes and assumes a large number of trials. In practice, actual outcomes may deviate from theoretical probabilities due to factors like imbalances in the spinner or inherent randomness.

To know more about theoretical probability, refer here:
https://brainly.com/question/15729871
#SPJ11

Answer:

10

Step-by-step explanation:

let,

A = (-4, 5)

B = (-4, -3)

C = (2, -3)

we can use distance formula to calculate the length,

\(d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2}\)

therefore,

\(l_{AB} = 8\\l_{BC} = 6\\l_{AC} = 10\)

hence length of longest side is 10

Hopefully this answer helped you!!

hope this answer helps you dear...take care!

Answer:

3 • (4x - 5) -  21  = 0

12x - 36  =   12 • (x - 3)

12 • (x - 3)  = 0

x = 3

Step-by-step explanation:

Answer:

14 dance videos

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

An area of mathematics that studies how competing parties interact is known as "game theory."

Game theory analyzes strategic decision-making in situations where multiple participants, known as players, make choices that affect each other's outcomes. It examines the interactions, strategies, and outcomes of these competitive or cooperative situations.

Game theory provides mathematical models and frameworks to analyze various scenarios, such as conflicts, negotiations, auctions, voting systems, and economic markets. It studies the behavior of rational players, their objectives, and the choices they make to maximize their own outcomes, considering the actions and reactions of other players.

The field of game theory explores concepts such as strategies, payoffs, Nash equilibrium, dominant strategies, and cooperative or non-cooperative games. It aims to predict and understand the behavior and outcomes of competitive situations and provides insights into decision-making, resource allocation, and the dynamics of interactions between individuals, organizations, or even nations.

Overall, game theory serves as a valuable tool in various disciplines, including economics, political science, psychology, and computer science, to analyze and model situations where competing parties interact.

Learn more about outcomes here:

https://brainly.com/question/32511612

#SPJ11

Answer:

\(m\angle S = 35^\circ, \ m\angle T = 105^\circ,\ m\angle R = 105^\circ\)

Step-by-step explanation:

Similar Triangles

Lines ST and QR are parallel. Thus, angles S and Q are congruent, and angles T and R are congruent.

Considering the triangle PQR, the sum of its internal angles must be 180°:

\(m\angle P + m\angle Q + m\angle R = 180^\circ\)

Substituting the known values:

\(40^\circ + 35^\circ + m\angle R = 180^\circ\)

Solving for R:

\(m\angle R = 180^\circ - 40^\circ - 35^\circ\)

\(m\angle R = 105^\circ\)

Angles S and Q are congruent, thus

\(m\angle S = 35^\circ\)

Angles T and R are congruent, thus

\(m\angle T = 105^\circ\)

Summarizing:

\(\mathbf{m\angle S = 35^\circ, \ m\angle T = 105^\circ,\ m\angle R = 105^\circ}\)

Answer:

100

Step-by-step explanation:

Answer:

Based on the given information, it is not possible to definitively determine whether the number generator is fair or not. However, we can make some observations and inferences:

We know that 70% of the socks in the drawer are black, which means that in a random selection of 10 socks, we would expect to see around 7 black socks on average.

The dot plot shows the number of black socks in 10 trials of the number generator. We can see that the number of black socks varies from 0 to 10, with some frequencies being higher than others.

Without knowing the exact frequencies or probabilities, we can see that the dot plot does not appear to be centered around 7 black socks, which is what we would expect from a fair number generator. However, it is difficult to determine whether the deviations from 7 are statistically significant or not, without more information.

Therefore, based on the given information, the most accurate statement is:

The number generator's fairness cannot be determined with certainty from the given data, but there are indications that it may not be perfectly fair.

Step-by-step explanation:

Answer:z

Then variable is n

Variable is an alphabet that depend on number. Then the variable there is n

And the coefficient of the variable is 2

The coefficient is the number behind a variable

And the value of the variable is

2n-3=7

Add 3 to both sides

2n-3+3=7+3

2n=10

Divide both side by 2

2n/2=10/2

n=5

Answer:

n=2

Step-by-step explanation:

Answer:

Less greater

Step-by-step explanation:

Firstly, let's solve:

\(\frac{5}{6}\times2\frac{1}{5}\)

Convert to improper fraction

\(=\frac{5}{6}\cdot \frac{11}{5}\)

Cancel common factor: 5

\(\frac{11}{6}\)

Mixed fraction

\(=1\frac{5}{6}\)

2 1/5 > 1 5/6

Therefore, 1 5/6 is less greater than 2 1/5

~Lenvy~

The Gibbs-Duhem equation relates the activity coefficients of the individual components in a mixture. It states that the activity coefficients are not independent of each other but are related by a differential equation.

In the case of a binary mixture (chemical A and chemical B), the Gibbs-Duhem relation can be written as:

x1 * (∂x1/∂lnγ1)T,P = x2 * (∂x2/∂lnγ2)T,P

Here, x1 and x2 represent the mole fractions of chemical A and chemical B, respectively. The activity coefficients for chemical A and chemical B are denoted as γ1 and γ2, respectively.

The equation shows that the change in mole fraction of one component (x1) with respect to the change in the logarithm of its activity coefficient (lnγ1) is proportional to the change in mole fraction of the other component (x2) with respect to the change in the logarithm of its activity coefficient (lnγ2).

This relationship helps us understand how changes in the activity coefficients of the components affect each other in a binary mixture. By studying this relationship, we can gain insights into the behavior of the mixture and make predictions about its properties.

For example, let's consider a mixture of ethanol (chemical A) and water (chemical B). If the activity coefficient of ethanol (γ1) decreases, the Gibbs-Duhem equation tells us that the mole fraction of ethanol (x1) will also decrease. Similarly, if the activity coefficient of water (γ2) increases, the mole fraction of water (x2) will increase.

Know more about Gibbs-Duhem equation:

https://brainly.com/question/33619595

#SPJ11

The following equations represents all the solutions (x, y) to the system of the equation is y=x²−x−5

The definition of an equation in algebra is a mathematical statement that proves that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign.

An equation is a mathematical statement that states that two amounts or values are equal, for as 6 x 4=12x2. An equation is a scenario in which two or more pieces must be considered together in order to understand or describe the total situation.

The given equations are:

y=x−2

y=x²−x−5

Let us take the second equation.

y=x²−x−5

x-2=x²−x−5

x²−2x-3=0

x²-3x+x-3=0

x(x-3)+1(x-3)=0

x-3=0, x+1=0

x=3, x=-1

To know more about equation, visit:

https://brainly.com/question/10413253

#SPJ4

Answer:

Step-by-step explanation:

300

The highest point on the graph of the normal density curve is located at its mean represented by μ.

The highest point on the graph of the normal density curve is located at its mean. The normal density curve or the normal distribution is a bell-shaped curve that is symmetric about its mean. The mean of a normal distribution is the measure of the central location of its data and it is represented by μ. It is also the balancing point of the distribution. In a normal distribution, the standard deviation (σ) is the measure of how spread out the data is from its mean.

It is the square root of the variance and it determines the shape of the normal distribution. The normal distribution is an important probability distribution used in statistics because of its properties. It is commonly used to represent real-life variables such as height, weight, IQ scores, and test scores.

To know more about density visit:-

https://brainly.com/question/6204741

#SPJ11

Answer:

D

Step-by-step explanation:

if you can't see it or don't understand something just tell me:) Good luck and I hope it helped.

Answer:

\(\frac{30x+30}{x+7}\) is the simplified radical expression.

Step-by-step explanation:

For this one, we have fractions in the bottom of a fraction (denominator).

So, we would multiply by \(\frac{1}{x+1}\).

\(\frac{5x+5}{\frac{1}{6}x+\frac{7}{6} }\)

Then Multiply by 6.

\(\frac{30x+30}{x+7}\) is the simplified radical expression.

Answer:

x=3

Step-by-step explanation:

-3x-5y=6

-5 times -3 = 15

-3x+15=6

+3x on both sides

15=6+3x

-6 on both sides

9=3x

divide by 3 on both sides

x=3

Answer:

The answer is 36

Step-by-step explanation:

=16-4(-5)

=16-(-20)

=36

Answer:

11/20

Step-by-step explanation:

I turned them in to improper fractions, divided, then simplified

Answer: For problem 8:

sin A/a sinB/b = sinC/c

so sin50/15 = sinB/12

0.766/15 =sinB/12

0.051066 = sin B/12

sin B = 0.6128

B = 37.79 degrees

sum of angles must equal 180 deg therefore C = 180-50-37.79 = 92.21 degrees and .766/15 = sin92.21/c

.051066= 0.99925/c

c = .99925/0.051066 = 19.567

Problems 9 and 10 can also be done with the same method as problem 8.For problem 8:

sin A/a sinB/b = sinC/c

so sin50/15 = sinB/12

0.766/15 =sinB/12

0.051066 = sin B/12

sin B = 0.6128

B = 37.79 degrees

sum of angles must equal 180 deg therefore C = 180-50-37.79 = 92.21 degrees and .766/15 = sin92.21/c

.051066= 0.99925/c

c = .99925/0.051066 = 19.567

Problems 9 and 10 can also be done with the same method as problem 8.

This is not my answer. I shall give credit to the rightful owner of these answers.

Answer:

x=30°

y=15°

z=150°

Step-by-step explanation:

2x+90+x=180°

2x=180°-90°

x=90/3

x=30

2y=x

y= 30/2

y=15°

2y°+z°=180°

2(15°)+z°=180°

z=180°-30°

z=150°

Hope it helps! :)

8.1^4 x 8.1^8 will be equal to 8.1^12. But, 8.1^12 will not be equal to 8.1^6.

Some laws of exponents are:

We are given:

8.1^4 x 8.1^8

We need to check if 8.1^4 x 8.1^8 be equal to 8.1^12 and if 8.1^12 be equal to 8.1^6.

We will use laws of exponents to solve the given expression:

8.1^4 x 8.1^8 = 8.1^(4 + 8) = 8.1^12

So, 8.1^4 x 8.1^8 = 8.1^12

Also,

8.1^12 = 8.1^(2 * 6) = (8.1^2)^6

So, 8.1^12 ≠ 8.1^6.

Thus, 8.1^4 x 8.1^8 will be equal to 8.1^12. But, 8.1^12 will not be equal to 8.1^6.

To learn more about laws of exponent visit:

brainly.com/question/28966438

#SPJ1

The linear equation for the remaining federal helium reserves, R(t), in billions of cubic feet, in terms of t, the number of years since 2010, can be given as:

R(t) = 15 - 2.2t

In this equation, t represents the number of years since 2010, and R(t) represents the remaining federal helium reserves in billions of cubic feet. The equation shows that the initial reserves of 15 billion cubic feet are being depleted by 2.2 billion cubic feet each year, resulting in a linear decrease in the remaining reserves over time.

You can learn more about linear equation at

https://brainly.com/question/2030026

#SPJ11

a) Since E is closed, its complement F\ E is contained in F, so the intersection of {U_i1, U_i2, ..., U_in} with E is still a finite subcover of E. Thus, E is compact.

b) The union of all these finite subcovers is a finite subcover of {U_i} that covers K, showing that K is compact.

(a) To show that E is compact, we need to show that any open cover of E has a finite subcover. Let {U_i} be an open cover of E. Since E is closed in F, its complement F\E is open in F. Thus, {U_i} and F\ E together form an open cover of F. Since F is compact, there exists a finite subcover {U_i1, U_i2, ..., U_in, F\ E}. Since E is closed, its complement F\ E is contained in F, so the intersection of {U_i1, U_i2, ..., U_in} with E is still a finite subcover of E. Thus, E is compact.

(b) Let K1, K2, ..., Kn be a finite collection of compact subsets of S. Let {U_i} be an open cover of their union K= K1∪ K2 ∪ ... ∪ Kn. Then each Ki is contained in K, so {U_i} is also an open cover of each Ki. Since each Ki is compact, there exists a finite subcover {U_i1, U_i2, ..., U_ik_i} of {U_i} for each Ki. Thus, we have a finite collection of sets {U_i1, U_i2, ..., U_ik_1}, {U_i1, U_i2, ..., U_ik_2}, ..., {U_i1, U_i2, ..., U_ik_n} that covers K1, K2, ..., Kn respectively. The union of all these finite subcovers is a finite subcover of {U_i} that covers K, showing that K is compact.

To learn more about intersection visit;

https://brainly.com/question/14217061

#SPJ11

The statement "generally, parametric estimating requires less information and time than analogous estimating." is False.

Parametric estimating and analogous estimating are two different methods used to estimate the cost of a project or the value of a parameter.

Parametric estimating uses statistical data and mathematical models to make predictions about the cost or value of a project. This method requires specific data and information about the project, such as historical data, vendor quotes, and cost of similar projects.

The advantage of parametric estimating is that it can be more accurate and precise than other methods, but it can also be time-consuming to gather the necessary data and perform the calculations. Analogous estimating, uses information from similar projects to make predictions about the cost or value of a project.

This method requires less data and information than parametric estimating, but it can be less accurate and precise. Analogous estimating is often used as a quick and rough estimate, or when there is not enough data available to use parametric estimating.

To learn more about estimating click on,

https://brainly.com/question/30028920

#SPJ4