Rewrite the expressions using the distributive property:
5a (-3a+13)

Answer:

18x+5

Step-by-step explanation:

Rhe perimeter of a triangle is the sum of its three sides which here are (6x-3), (5x+6), (7x+2).

So we add them all up, 6x-3+5x+6+7x+2=18x+5

The resulting speed of the ball will be 58.2 kilometers per hour in the direction 39.2° above the horizontal.

To get the ball's resulting speed, we can apply the Pythagorean theorem:

\(V = sqrt(Vx^2 + Vy^2)\)

\(= sqrt((44.8 km/h)^2+ (36.9 km/h)^2)\)

= 58.2 km/h

Speed is the rate of change of an object's position relative to a given frame of reference. It is a scalar quantity meaning it has both magnitude and direction. Speed is usually measured in meters per second.

The wind will affect the direction of the ball and will cause the ball to drift to the side. The wind will also reduce the speed of the ball slightly, but it will not be significant enough to affect the overall speed. The total distance traveled by the ball will also be affected by the wind, as the ball will veer off course. The overall result of the wind will be a slightly longer flight path but the ball will still travel the same distance.

Trigonometry can be used to determine the ball's direction:

' = atan(Vy/Vx) 

= atan(36.9/44.8) 

= 39.2°

The ball's final velocity is 58.2 km/h, and its direction is 39.2 degrees above the horizontal.

To know more about speed click-

brainly.com/question/13943409

#SPJ1

Answer: The answer is B

Step-by-step explanation:

Answer:

answer C!!

Step-by-step explanation:

Given  : sphere with radius 15.To find : Which expression gives the volume.Solution : We have given that radius of sphere = 15 units.Volume of sphere =  .Plugging the value of radius Volume of sphere =  .

The multiplicative rate of change of the exponential function represented in the table is 5.

To determine the multiplicative rate of change of the exponential function, we can examine the relationship between the entries in the y-column and the corresponding entries in the x-column.

Looking at the values in the y-column, we can observe that each subsequent value is obtained by multiplying the previous value by a constant factor. For example, 4.5 divided by 4 is 1.125, which is approximately 5/4. Similarly, 6.75 divided by 4.5 is approximately 5/3, and so on.

This pattern indicates that the multiplicative rate of change between consecutive entries in the y-column is 5/4. In other words, each value in the y-column is obtained by multiplying the previous value by 5/4. This consistent ratio of 5/4 represents the multiplicative rate of change of the exponential function.

Therefore, the correct answer is option 1: 5.

Learn more about exponential function  here :

https://brainly.com/question/29287497

#SPJ11

The distribution function of the univariate random variable x is continuous at x if and only if , F (x) = P (X ≤ x)

Continuous univariate statistical distributions are functions that describe the likelihood that a random variable, say, X, falls within a given range. Let P (a Xb) represent the probability that X falls within the range [a, b].

A numerically valued variable is said to be continuous if, in any unit of measurement, whenever it can take on the values a and b. If the random variable X can assume an infinite and uncountable set of values, it is said to be a continuous random variable.

If X can take any specific value on the real line, the probability of any specific value is effectively zero (because we'd have a=b, which means no range). As a result, continuous probability distributions are frequently described in terms of their cumulative distribution function, F(x).

To learn more about univariated data

https://brainly.com/question/13415579

#SPJ4

Answer:

980

Step-by-step explanation:

A simple way to do this is to do a quick estimate, which I truthfully did.

Since 5% of 1000 is 50, I simply counted back.

5% of 990 is 49.5. Notice the slight change? Use this to your advantage. What would happen if we subtracted 10 from 990, just like we did with 1000? This would be equivalent to removing 0.5 from 49.5.

5% of 980 is 49.

Answer:

by 10

Step-by-step explanation:

percent monthly causing it to add 200$ each

The analyst prepares the results to present them to a firm's management as a final step in the marketing research process.

Marketing research is the process of gathering, analyzing, and interpreting data related to a company's target market, competitors, and products or services. It involves using various research methods and techniques, such as surveys, focus groups, interviews, observation, and secondary data analysis, to gather information that can help the company make informed decisions about its marketing strategies and tactics.

This presentation is usually done in the form of a report or a presentation that includes the research objectives, methodology, findings, conclusions, and recommendations. The purpose of this presentation is to provide insights and actionable recommendations that can help the decision-makers make informed decisions about the company's marketing strategies and tactics.

Learn more about observation here: brainly.com/question/30407890

#SPJ4

Answer:

Step-by-step explanation:

Use PEMDAS rules

In this problem, according to PEMDAS , inner brackets should be solved the division and finally multiplication.

3[ (15 - 3)² ÷ 4]  = 3[(12)² ÷ 4]   {Now find the square of 12}

                         = 3[144 ÷ 4]    {Now do division}

                         =3 * 36       {Finally multiplication}

                         = 108

For, the given probability density function f(x)=x the value of z is 2 and the variance of X is 152/135

In this case, a random variable X has the probability density function f(x)=x.

The expected value of X is given as 2sqrt(2)/3. We need to determine the value of z and the variance of X. For a continuous random variable, the expected value is given by the formula

E(X) = ∫x f(x) dx

where f(x) is the probability density function of X.

Using the given probability density function,f(x) = x and the expected value E(X) = 2sqrt(2)/3

Thus,2sqrt(2)/3 = ∫x^2 dx from 0 to z = (z^3)/3

On solving for z, we get z = 2.

Using the formula for variance,

Var(X) = E(X^2) - [E(X)]^2

We know that E(X) = 2sqrt(2)/3

Using the probability density function,

f(x) = xVar(X) = ∫x^3 dx from 0 to 2 - [2sqrt(2)/3]^2= 8/5 - 8/27

On solving for variance,

Var(X) = 152/135

The value of z is 2 and the variance of X is 152/135.

To know more about probability density function visit:

brainly.com/question/31039386

#SPJ11

Answer:

Learn more on surface area on https://brainly.com/question/951562

#SPJ2

Answer:

A. 5

Explanation:

Given the points (-1,2) and (2,6):

To find the distance between the points, we use the distance formula:

The distance between the given points is 5 units.

Answer:

-5

Step-by-step explanation:

Answer:

-5

Step-by-step explanation:

thats a deep comment

Answer:

A representative sample is a subset of a population that seeks to accurately reflect the characteristics of the larger group that is unbiased. So yes this is a representative sample since it is being submitted anonymously

Step-by-step explanation:

Step-by-step explanation:

See image

Answer:

\((-7,4]\text{ or }\{x|-7<x\leq 4\}\)

Step-by-step explanation:

The domain is the span of x-values covered by the function.

From the graph, we can see that the graph covers all the x-values from x=-7 to x=4.

However, note that closed and open circles. There is an open circle at x=-7, which means that the domain excludes x=-7. However, the circle at x=4 is closed, meaning it is included in the domain.

Therefore, the domain is, in interval notation:

\((-7,4]\)

We use parentheses on the left because we do not include -7. And we use brackets on the right because we do include the 4.

And in set notation, this is:

\(\{x|-7<x\leq 4\}\)

Answer:

The domain is the span of x-values covered by the function.

From the graph, we can see that the graph covers all the x-values from x=-7 to x=4.

However, note that closed and open circles. There is an open circle at x=-7, which means that the domain excludes x=-7. However, the circle at x=4 is closed, meaning it is included in the domain.

Therefore, the domain is, in interval notation:

(-7,4](−7,4]

We use parentheses on the left because we do not include -7. And we use brackets on the right because we do include the 4.

And in set notation, this is:

\{x|-7

Answer:

x=1/5y-2

Step-by-step explanation:

Step 1: Flip the equation

5x+10=y

Step 2: Add -10 to both sides

5x+10+-10=y+-10

5x=y-10

Step 3: Divide both sides by 5.

5x/5 =y-10/5

x=1/5y-2

Therefore , the solution of the given problem of equation comes out to be it mean that you owe 36 amount of money to bank.

When the equals sign (=) is used to denote equality, an algebraic theorem resembles a rule joining two statements. An algebraic equation is a factual assertion that shows the equivalence of multiple numerical variables. The values ob d + 6 and 12 are separated by an equal sign in the calculation data logger + 6 = 12. The number of syllables that correspond to each side of each letter can be expressed numerically. The message of a symbol is frequently its complete opposite.

Here,

Given :

After a few weeks, you create and calculate an equation

so determine how much money is in your bank account.

M equals -36, as you discover.

Thus,

It mean that you owe 36 amount of money to bank.

Therefore , the solution of the given problem of equation comes out to be it mean that you owe 36 amount of money to bank.

To know more about equation visit:

https://brainly.com/question/649785

#SPJ4

Answer:

NEGATIVE SIGH

Step-by-step explanation:

The Answer is 24

Answer:

the answer is positive

Answer:

16384

Step-by-step explanation:

Here is how you do it : (2*2*32)^(2)

Answer:

  3⁰ = 1

  x⁰ = 1

Step-by-step explanation:

You want powers of 3 filled in your table from an exponent of 4 down to an exponent of 0.

3⁴ = 3·3·3·3 = 81 . . . . . . 3 is a factor 4 times

3³ = 3·3·3 = 27 . . . . . . .  3 is a factor 3 times

Each row of the table has 3 being a factor of 3^x one fewer times, so each value of 3^x is 1/3 of the previous value.

The last two rows of the table are ...

  3¹ = 3

  3⁰ = 1

See the attachment for the whole table.

In general, the meaning of x⁰ is ...

  x⁰ = 1

__

Additional comment

In algebra, 0⁰ = 1 is the usual definition. In some contexts (mathematical analysis, calculus), it may be "undefined."

That means x⁰ = 1 for all real numbers x, including x = 0.

The  |120-x| simplifies to 120-x when x is less than 120.

S If x is less than 120, then the expression |120-x| simplifies to 120-x. This is because the absolute value bars mean that the result must be positive,

so if x is already less than 120, then subtracting x from 120 will give a positive result.

For example, if x is 115, then |120-x| would equal |120-115|, which simplifies to |5|, which equals 5.  

To learn more about : simplifies

https://brainly.com/question/723406

#SPJ11

The first and second pairs of functions are linearly independent, while the third pair of functions are linearly dependent Since the Wronskian is zero, it indicates that the functions are linearly dependent.

The Wronskian is a term used in mathematics to determine whether two functions are linearly independent. The Wronskian is a determinant of functions that is used to determine whether or not they are linearly independent.

The Wronskian of a set of functions f1, f2, ..., fn is denoted as W(f1, f2, ..., fn).

The Wronskian of the functions can be found using the following formula:

W(f1, f2) = f1(x) * f2'(x) - f1'(x) * f2(x).

Therefore, we have:

1. f1(x) = 2x + 3 and f2(x) = 4f1(x) - 1 = 2x + 3 and f2(x) = 8x + 11

Then, we find the Wronskian of f1 and f2 as shown below:

W(f1, f2) = f1(x) * f2'(x) - f1'(x) * f2(x) = (2x + 3) * (8) - (2) * (8x + 11)

= 16x + 24 - 16x - 22 = 2

Since the Wronskian is not zero, it indicates that the functions are linearly independent.

2. y1 = x^2 + 1 and y2 = x*y1= x^2 + 1 and y2 = x(x^2 + 1)= x^3 + x. We find the Wronskian of y1 and y2 as shown below:

W(y1, y2) = y1(x) * y2'(x) - y1'(x) * y2(x) = (x^2 + 1) * (3x^2 + 1) - (2x) * (x^3 + x)

= 3x^4 + 4x^2 + 1 - 2x^4 - 2x^2 = x^4 + 2x^2 + 1

Since the Wronskian is not zero, it indicates that the functions are linearly independent.

3. y1 = ln(x) and y2 = 0 = ln(x) and y2 = 0

We find the Wronskian of y1 and y2 as shown below:

W(y1, y2) = y1(x) * y2'(x) - y1'(x) * y2(x) = (ln(x)) * (0) - (1/x) * (0) = 0

Since the Wronskian is zero, it indicates that the functions are linearly dependent.

Therefore, the first and second pairs of functions are linearly independent, while the third pair of functions are linearly dependent.

To know more about linearly independent functions, visit the link : https://brainly.com/question/15855339

#SPJ11

Answer:

FIRST OPTION

Step-by-step explanation:

its the first option since the birds like the red bugs more all the red bugs will get eaten and the green ones will survive and evolve

The correct answer is option O: 5 V.

To determine the average voltage (Vavg) given a peak-to-peak voltage (Vpp) of 10 V, we need to consider the relationship between Vavg and Vpp in an alternating current (AC) waveform.

The average voltage of an AC waveform is related to its peak-to-peak voltage by the formula: Vavg = 0.5 * Vpp.

Applying this formula to the given Vpp of 10 V, we can calculate the Vavg as follows: Vavg = 0.5 * 10 V = 5 V.

The average voltage is equal to half of the peak-to-peak voltage, resulting in an average voltage of 5 V for a Vpp of 10 V.

Learn more about voltage here: /brainly.com/question/1176850

#SPJ11

the answer of this question is 38 and i hope it s  correct