I subtract 3 from a certain number, multiply the result by 5 and then add 9

The value of K is 20

The LHS (Left Hand Side) reduces to 2 x 10^1005

2 x 10^1005  =k x 10^1004                    

k =[2 x10^1005] / [10^1004] = 2 x 10

k =20                                                    

A positive integer is defined as a whole number greater than zero. All counting numbers are included in the set of positive integers.

Positive numbers include: 1, 2, 88, 800, 9000, and so on. Positive numbers are whole numbers with the symbol (+) in front of the numerical value. Most of the time, the plus sign is simply represented without the symbol. Positive numbers outnumber negative numbers and zero. On the number line, positive numbers are represented to the right of zero

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Answer:

Hey just search up an algebraic calculator I finished my homework with it lol

Step-by-step explanation:

We have 19 input variables, the calculation would be \(2^1^9\), resulting in 524,288 possible regression models.

If you are running a regression with 19 input variables and want to choose a model including a subset of those variables, there would be a total of 524,288 possible regression models that can be formed.

To determine the number of possible regression models, we need to consider the power set of the input variables. The power set of a set includes all possible subsets that can be formed from the original set, including the empty set and the set itself. In this case, the power set would represent all the possible combinations of including or excluding the 19 input variables in the regression model.

The number of elements in the power set can be calculated by raising 2 to the power of the number of input variables. Since we have 19 input variables, the calculation would be \(2^1^9\), resulting in 524,288 possible regression models.

It's important to note that while there are a large number of possible regression models, not all of them may be meaningful or useful in practice. Selecting the most appropriate subset of variables for a regression model typically involves considerations such as statistical significance, correlation analysis , domain knowledge, and model evaluation techniques to identify the most predictive and relevant variables for the specific problem at hand.

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\(\qquad\qquad\huge\underline{{\sf Answer}}\)

By squaring the sum of two variables identity ~

\(\qquad \sf  \dashrightarrow \:(a + b) {}^{2} = {a}^{2} + {b}^{2} + 2ab\)

Now, plug in the given values ~

\(\qquad \sf  \dashrightarrow \:( - 6) {}^{2} = 20 + 2ab\)

\(\qquad \sf  \dashrightarrow \:36 = 2(10 + ab)\)

\(\qquad \sf  \dashrightarrow \:10 + ab = 36 \div 2\)

\(\qquad \sf  \dashrightarrow \:10 + ab = 18\)

\(\qquad \sf  \dashrightarrow \:ab = 18 - 10\)

\(\qquad \sf  \dashrightarrow \:ab = 8\)

I hope it was clear through my steps ~

Answer:

8

Step-by-step explanation:

(a+b)^2 = (-6)^2

a^2 + 2ab + b^2 = 36

a^2 + b^2 = 36 - 2ab

Equating 36 - 2ab with 20

36 - 2ab = 20

2ab = 16

ab = 8

Hope this helps out, feel free to mark this answer as brainliest :)

Answer:

22

Step-by-step explanation:

Use a proportion.

30/15 = 44/x

30x = 15 × 44

2x = 44

x = 22

Answer:

22

Step-by-step explanation:

30 miles/ 15 sessions of tract practice

Per practice Jack is running a total of 2 miles.

So 44 miles/2 miles

22 sessions of track practice

The distance of the student from the foot of the tower is 25.63m the nearest 1/2 is 25.5m.

Given that From the top of a tower 14m high

The angle of depression of a student is 32°

we can use trigonometry to find the distance from the foot of the tower to the student:

tan(32°) = opposite/adjacent = 14/distance

Rearranging this equation gives:

distance = 14/tan(32°)

= 25.63m

Therefore, the distance of the student from the foot of the tower is approximately 25.63m nearest 1/2, this is 25.5m.

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Answer:

\(x = 48\)

Step-by-step explanation:

\(18.6 + 113.4 + x = 180\)

\(132 + x = 180\)

\(x = 180 - 132 \)

\(x = 48\)

Answer:

Step-by-step explanation:

The flagpole is 20 feet = 20*12 in = 240 in high

The increments of 10 in take:

The number of 10 in increments:

Time required for Charlie:

A research study variable that is believed to be related to the study's variable of interest is accurately described by each of the following terms except dependent.

Any variable employed in research that has a cause and effect relationship is referred to as a research variable (also known as a study variable) informally. An array of variables, including independent factors, dependent variables, and intervening variables, can be employed in a study, including research/study variables.

Independent and dependent variables are crucial in research since they provide the framework for a study to be carried out. Confounding factors, controlled variables, superfluous variables, and moderator variables are some other sorts of variables that could be used in a research.

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Life in the neighborhood depicted in the film "Los Olvidados" is characterized by challenging economic and social conditions.

The neighborhood in "Los Olvidados" is portrayed as a poverty-stricken area where the residents struggle to make ends meet. The film explores the lives of marginalized individuals most particularly young boys, who are caught in a cycle of poverty, violence, and neglect.

The economic conditions in the neighborhood are harsh, with limited opportunities for employment and a lack of access to basic necessities. As a result, the residents are often forced into criminal activities to survive leading to a high level of violence and crime within the community.

Moreover, the social conditions exacerbate the challenges faced by the neighborhood. There is a sense of abandonment and neglect from the government and wider society with little support or resources available to address the issues faced by the residents.

Full question:

Describes life in the neighborhood that takes place in the film Los Olvidados by Luis Buñuel, taking into account their economic and social conditions through the different activities carried out by the neighborhoods.

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Answer:

x ≤ - 27

Step-by-step explanation:

\(\frac{x}{-9}\ge \:3\\\\\mathrm{Multiply\:both\:sides\:by\:-1\:\left(reverse\:the\:inequality\right)}\\\\\frac{x\left(-1\right)}{-9}\le \:3\left(-1\right)\\\\Simplify\\\\\frac{x}{9}\le \:-3\\\\\mathrm{Multiply\:both\:sides\:by\:}9\\\\\frac{9x}{9}\le \:9\left(-3\right)\\\\\mathrm{Simplify}\\\\x\le \:-27\)

The solution of the given inequality is x ≤ -27.

Inequality is the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.

The given inequality ( x / -9) ≥ 3 is solved as:-

( x  / -9 ) ≥ 3

Multiply both sides by ( -1 ).

-1 ( x  / -9 ) ≥ -3

x / 9 ≤ -3

x ≤ -27

Hence, the solution is x ≤ -27.

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The volume of the right cone is 384π cm³ (option A).

A cone is a three-dimensional object that narrows smoothly from a circular base to a apex or vertex. A cone is a pyrmaid with a circular cross section.

The volume of an object measures the amount of space in the object.

Volume of a cone = 1/3(πr²h)

Where:

Volume of a cone = 1/3(π x 8 x 12²) = 384π cm³

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a. Let's compute the integral ∫(x−3+5x5/2+3)dx with respect to x. The indefinite integral of x with respect to x is x²/2, the indefinite integral of -3 with respect to x is -3x and the indefinite integral of 5x^(5/2)+3 with respect to x is (10/7)x^(7/2)+3x+ C, where C is the constant of integration.

The m∫(x−3+5x5/2+3)dx=x^2/2-3x+(10/7)x^(7/2)+3x+C=1/2x^2+(10/7)x^(7/2)-x+CEvaluate the constant of integration, C, by calculating the value of the definite integral between the limits of integration. b. Let's find the indefinite integral of -ex + x^(1/3) with respect to x. The indefinite integral of -ex with respect to x is -ex, and the indefinite integral of x^(1/3) with respect to x is (3/4)x^(4/3).The main answer is as follows:∫(-ex+x^(1/3))dx=-ex+(3/4)x^(4/3)+ CCalculate the constant of integration, C, by computing the definite integral between the limits of integration. c. To determine the indefinite integral of x^2/5-x with respect to x, we will first split the given integral into two parts, as follows:∫(x^2/5)dx - ∫x dx. The indefinite integral of x²/5 with respect to x is (1/15)x^3, and the indefinite integral of x with respect to x is (1/2)x².The main answer is as follows:∫(x^2/5−x)dx=(1/15)x^3-(1/2)x^2 + CCompute the value of the constant of integration by finding the definite integral between the limits of integration. d. ∫01​(ex−x)dx = (e - (1/2)). ∫01​(ex−x)dx=ex/1-x^2/2= ex-e/2 e. ∫-32​(2x−1)dx = -(11/4)The main answer is as follows:∫-32​(2x−1)dx= x^2-x|_[x=-3,x=2]=(-2)^2-(-2)-(-3)^2-(-3)=11. The definite integral of the given function is -11/4.

In this question, we determined the indefinite integral and the definite integral of five different functions. The integration of a function is a method of calculating the area under its curve. The definite integral of a function is a number that represents the total area under its curve between two specified points. On the other hand, the indefinite integral of a function is a family of functions that differ only by a constant value.

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A. The indefinite integral of the function is (1/2)x² - 3x + (10/7)x⁷/² + 3x + C

B. The indefinite integral of the function is -ex + (1/14)x¹⁴ + C

C. The indefinite integral of the  function is (1/3)x³ - 5x - (1/2)x² + C

D. The definite integral of the function from 0 to 1 is e/2 - 1.

E. The definite integral of the function from -3 to 2 is -10.

a. ∫(x−3+5x⁵/²+3)dx:

To find the indefinite integral, integrate each term separately:

∫(x − 3 + 5x⁵/² + 3)dx = ∫xdx - ∫3dx + ∫5x⁵/²)dx + ∫3dx

Integrating each term:

(1/2)x² - 3x + (10/7)x⁷/² + 3x + C

Therefore, the indefinite integral of the given function is:

∫(x−3+5x⁵/²+3)dx = (1/2)x² - 3x + (10/7)x⁷/² + 3x + C, where C is the constant of integration.

b. ∫(−ex + x¹³)dx:

To find the indefinite integral, we integrate each term separately:

∫(−ex + x¹³)dx = -∫exdx + ∫x¹³dx

Integrating each term:

= -ex + (1/14)x¹⁴ + C

Therefore, the indefinite integral of the function is:∫(−ex+x¹³)dx = -ex + (1/14)x¹⁴ + C

c. ∫(x² - 5 − x)dx:

To find the indefinite integral, integrate each term separately:

∫(x²−5−x)dx = ∫x²dx - ∫5dx - ∫xdx

Integrating each term:

(1/3)x³ - 5x - (1/2)x² + C

Therefore, the indefinite integral of the given function is:∫(x²−5−x)dx = (1/3)x³ - 5x - (1/2)x² + C

d. ∫[0,1](ex − x)dx:

To find the definite integral, we integrate the function from 0 to 1:

∫[0,1](ex − x)dx = [ex²/² - (1/2)x²] evaluated from 0 to 1

Plugging in the upper and lower limits:

[e/2 - (1/2)] - [e⁰/² - (1/2)(0)²]

Simplifying:

(e/2 - ¹/₂) - (¹/₂)= e/2 - 1

Therefore, the definite integral of the given function from 0 to 1 is:

∫[0,1](ex − x)dx = e/2 - 1.

e. ∫[-3,2](2x−1)dx:

To find the definite integral, we integrate the function from -3 to 2:

∫[-3,2](2x−1)dx = [x² - x] evaluated from -3 to 2

Plugging in the upper and lower limits

(2² - 2) - ((-3)² - (-3))

Simplifying:

(4 - 2) - (9 + 3)

2 - 12

-10

Therefore, the definite integral of the given function from -3 to 2 is:∫[-3,2](2x−1)dx = -10.

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Answer:

\(SA = 2.94 \, \textrm{units}^2\)

Step-by-step explanation:

The surface area of a regular 3D figure can be represented as:

\(SA = A_{\textrm{\,1 side}} \cdot (\# \textrm{ of sides})\).

Therefore, the surface area of a cube is:

\(SA = s^2 \cdot 6\)

where \(s\) is the length of a side.

To solve this problem, simply input the given side length into the above formula:

\(SA = 0.7^2 \cdot 6\)

and simplify.

\(SA = 0.49 \cdot 6\)

\(SA = 2.94 \, \textrm{units}^2\)

Answer:

5p(2p-3)(p+7)=0

10p-15 p +7 =0

10p+p=0+15-7

11p =8

11p=8

p=8/11

Answer:

p=0, p=1.5, p=-7

Step-by-step explanation:

Assuming we need the equation to equal zero we do this.

5p(2p-3)(p+7)

5p = 0        (2p-3) = 0       (p+7)= 0  Separate each part

5(0) = 0      2(1.5)-3 = 0.   (-7)+7 = 0  Replace P so the outcome is 0

  p=0,             p=1.5,           p=-7      Solution

The new coordinates of the dilated polygon would have coordinates at M'(1.6, 3.2) and N'(3.2, 4).

An equation is an expression that shows the relationship between two or more numbers and variables.

Dilation is the increase or decrease in the size of a figure by a scale factor.

Given that Polygon MNOPQ is dilated by a scale factor of 0.8 with the origin. If point M(2, 4) and N(4, 5). The new coordinates would be at M'(1.6, 3.2) and N'(3.2, 4).

The new coordinates of the dilated polygon would have coordinates at M'(1.6, 3.2) and N'(3.2, 4).

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Answer:

80+60+3x+4=180

140+3x+4=180

144+3x=180

3x=180-144

3x=36

x=12

Answer:

x = 12

Step-by-step explanation:

All triangles equal to 180 degrees so, we can set up this expression:

180 = (3x + 4) + 80 + 60

All we have to do is solve:

180 = (3x + 4) + 80 + 60

180 = 3x + 4 + 140

180 = 3x + 144

-144        -144

36 = 3x

/3     /3

12 = x

1) For the expression the correct expression is,

⇒ Multiply/divide both sides by the same variable expression.

2) Based on the previous answer, they are not equivalent.

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The expression is,

A. 5x = 3x

B. 5 = 3 ​

Now,

Since, The expression is,

A. 5x = 3x

B. 5 = 3 ​

Hence, For obtain the expression B we can divide both side by x in expression A as;

A. 5x = 3x

⇒ 5x/x = 3x/x

⇒ 5 = 3

Hence, For the expression the correct expression is,

⇒ Multiply/divide both sides by the same variable expression.

But we know that;

⇒ 5 ≠ 3

So, They are not equivalent.

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\(x^{3}-3x^{2}-13x+15\)

The expression |ab^3| if a>0 and b>0 is even.

What is Parity Definition?

Even Function: A function is even if f(-x)=f(x) for all \($x \in \mathbb{R}$\) Odd Function: A function is odd if f(-x)=-f(x) for all \($x \in \mathbb{R}$\)

\(f(a): \quad|a|\left|b^3\right|\)

\(f(-a): \quad|a|\left|b^3\right|\)

\(-f(a):-|a|\left|b^3\right|\)

Check parity of \($|a|\left|b^3\right|$\)

Check if Even: True

Check if Odd: False

Even

The expression |ab^3| if  b>0

\($$\begin{aligned}& f(a): \quad|a| b^3 \mid \\& f(-a): \quad|a|\left|b^3\right| \\& -f(a): \quad-|a| b^3 \mid\end{aligned}$$\)

Check parity of \($|a|\left|b^3\right|$\)

Check if Even: True

Check if Odd: False

Even

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Answer:

P=RS1000

R=10%

T=?

COMPOUND AMOUNT=RS 1200

I=1200-1000=RS200

IF IT IS SIMPLE INTEREST

T={I×100}/(P×R)=(200×100)/(1000×10)=20000/10000=2YEARS=2×12=24MONTHS

8j - 3k is the ans I think

Answer:

9 dollars and 40 cents

Step-by-step explanation:

Answer:

It is 9 dollars and 40 cents :)

The transformed equation is y = -1/(x + 2) - 3

From the question, we have the following parameters that can be used in our computation:

y = -1/x

We have the transformation to be

(2, -3)

This implies that we transform the function be (x + 2, y - 3)

using the above as a guide, we have the following:

y = -1/(x + 2) - 3

The above represents the new equation when the previous is transformed

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Answer:

60 degrees

Step-by-step explanation:

Each triangle needs to add up to 180 total degrees.  70+50=120,

180

-

120

___

60

The measure of angle O is 27 degrees

To determine the value, we need to know the law of sines

The law of sines is represented as;

sin A/a = sin B/b = sin C/c

Such that the parameters are expressed as;

From the information given, we have that;

o = 850 cm, q = 800 cm and ∠Q=25°.

Substitute the values, we have;

sin O/850 = sin 25/800

cross multiply the values, we get;

sin O = sin 25 (850)/800

find the value and multiply

sin O = 359. 22/800s

sin O = 0.4490

find the inverse

O = 26. 7 degrees

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Answer:

4√6 /3

Step-by-step explanation:

Answer:

its the first one

Step-by-step explanation:

t - 3 > -5

 +3  > +3

___________

t      >  -2

t is greater than -2 so the line should point to the right, and it should be an empty circle on -2 because it is not a greater than or equal to sign.

Answer:

t>-2

Step-by-step explanation:

Treat this like an equation and add -3 to both sides:

t>-2

The correct choice should be #1

There is 0 probability that (a) 3 people will spend at least $150.

The probability is simply the likelihood that something will happen. When we don't know how something will turn out, we might talk about the likelihood or probability of certain outcomes.

Analysis of events that fit a probability distribution is known as biostatistics.

So, we know that:

35% of those who visit his restaurant will spend at least $150.

People visit: 6

The probability that 3 will spend at least $150:

6/100 * 35

2.1

Rounding off: 2 people are 35% of 6 people

Since 35% is only 2 people. Then it is not possible that 3 people will spend at least $150.

Then, P(E) = 0.

Therefore, there is 0 probability that 3 people will spend at least $150.

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Complete Question is -

8) From past experience, a restaurant owner has determined that 35% of those who visit his restaurant will spend at least $150. If 6 people will visit his restaurant tomorrow, find the probability that:

a) 3 will spend more than $150.

b) at least 5 will spend more than $150.

C)  4 will spend more than $100

D) at least 3 will spend more than $250.

a) The probability that 3 out of 6 people will spend more than $150 is 21%.

b) The probability that at least 5 out of 6 people will spend more than $150 is 36%.

c) The probability that 4 out of 6 people will spend more than $100 is  24%.

d) The probability that at least 3 out of 6 people will spend more than $250 is 0

The probability is simply the likelihood that something will happen. When we don't know how something will turn out, we might talk about the likelihood or probability of certain outcomes.

a) The probability that 3 out of 6 people will spend more than $150 is (6 choose 3)\(* (0.35)^3 * (0.65)^3 = 0.2096\) or about 21%.

b) The probability that at least 5 out of 6 people will spend more than $150 is (6 choose 5)\(* (0.35)^5 * (0.65)^1 +\) (6 choose 6) \(* (0.35)^6\) = 0.3588 or about 36%.

c) The probability that 4 out of 6 people will spend more than $100 is (6 choose 4) \(* (0.65)^4 * (0.35)^2\) = 0.2415 or about 24%.

d) The probability that at least 3 out of 6 people will spend more than $250 is 0, Because the chance of spending more than $250 is low, and this probability is not possible as per the given percentage.

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Complete Question is - From past experience, a restaurant owner has determined that 35% of those who visit his restaurant will spend at least $150. If 6 people will visit his restaurant tomorrow, find the probability that:

a) 3 will spend more than $150.

b) at least 5 will spend more than $150.

c)  4 will spend more than $100

d) at least 3 will spend more than $250.