help me plzzz ;-;" tysm

Answer:

k = -2

Step-by-step explanation:

\(f(x) = \frac{5}{2} x + 1 \\ g(x) = \frac{5}{2}x - 1 \\ \\ g(x) = f(x) + k \\ \frac{5}{2} x - 1 = ( \frac{5}{2} x + 1) + k \\ - 1 = 1 + k \\ k = - 1 - 1 \\ k = - 2\)

ANSWER

EXPLANATION

We want to simplify the expression given:

To do this, we have:

Multiply two of the expressions in brackets and then simplify by multiplying the result with the last expression:

That is the answer.

Complete compensation= 832 individual items x Rs10/unit coming out to be: Rs. 8320

To determine the aggregate salary of a laborer, we will begin by computing the whole quantity of units manufactured per calendar month and then increase it by the wage rate for each unit.

Total units produced every month:

Monthly business days = 26

Productivity every hour = 4 individual items

Quantity of daily working hours = 8 hours

Units generated in one day = Productivity every hour multiplied by the Quantity of daily working hours

Units generated in one day are equal to 4 units/hour x 8 hours/day totalling= 32 individual items/day

Whole number units made each month = Units produced every day multiplied Monthly occupation days

Entire units produced each calendar month are equivalent to 32 individual items/day x 26 days which equals= 832 individual items/month.

The wage rate obtained receives Rs.10/individual item

Full pay gained is ascertained using Total units produced every month multiplied Wage rate Ruppees/Rs.10 for every unit.

Complete compensation= 832 individual items x Rs10/unit coming out to be: Rs. 8320

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Answer:

Step-by-step explanation:

Given a table of base prices, option prices, and destination charges, you want the corresponding sticker prices.

The sticker price is the sum of the base price, options, and destination charge. For example, ...

  sticker price = $19,900 +2400 +350 = $22,650

From the top down, the sticker prices are ...

__

Additional comment

It is convenient to have a calculator or spreadsheet repeat the calculation with the different numbers.

1) It is true that through 3 points there is exactly one plane.

2) The two possible coordinates of the other point are -40 and 12.

3) The numbers cannot form a triangle.

The general format of the equation of a plane is given as follows:

ax + by + cz + d = 0.

One point has the coordinates (x,y,z), meaning that only one point will solve the equation above, meaning that trough three points there will be exactly one plane.

If the second coordinate is 26 units left of -14, it is given as follows:

-14 - 26 = -40.

If the second coordinate is 26 units right of -14, it is given as follows:

-14 + 26 = 12.

A set of measurements can represent a triangle if the sum of the two smaller measurements is greater than the greater measures.

The sum of the two smaller measurements for item 3 is given as follows:

18.3 + 29.1 = 47.4.

47.4 is less than 49, hence these dimensions cannot form a triangle.

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The minimum number of states in the NFA accepting the language {a, ab} is 3. The NFA that accepts strings where the third-last symbol is 'a' over the alphabet {a, b} has five states.

For the DFA accepting strings with a number of 'a's divisible by 6 and 'b's divisible by 8, we can use the principle of the product construction. Since we need to consider both divisibility by 6 and divisibility by 8, the DFA will have states corresponding to all possible remainders when dividing the count of 'a's by 6 and the count of 'b's by 8. The remainders can range from 0 to 5 for 'a' and 0 to 7 for 'b', resulting in a total of 6 * 8 = 48 states. However, some states may be equivalent, so we can apply minimization techniques such as the Hopcroft's algorithm or table-filling algorithm to reduce the number of states. After minimization, the DFA will have 15 states (option C).

For the NFA accepting the language {a, ab}, we need to consider all possible transitions for each symbol in the alphabet. In this case, we have two symbols, 'a' and 'b'. The NFA should have states corresponding to different combinations of these symbols, including the empty string. We can start with an initial state and create transitions for 'a' and 'ab' accordingly. Since we have three possible transitions for 'a' (i.e., to a state accepting 'a', to a state accepting 'ab', or to a dead state), and one transition for 'ab' (to a state accepting 'ab'), the minimum number of states in this NFA is 3 (option A).

For the NFA accepting strings where the third-last symbol is 'a', we can again use the principle of the product construction. We need to consider the position of the third-last symbol in the string, which can be either 'a' or 'b'. The NFA will have states representing the different possibilities for the third-last symbol, including 'a' or 'b' as the third-last symbol. Since we have two possible transitions for each symbol in the alphabet ('a' or 'b') and three possible positions for the third-last symbol, the NFA will have a total of 2 * 3 = 6 states. However, we also need to consider the possibility of an empty string, which adds one more state. Hence, the NFA will have a total of 6 + 1 = 7 states (option D).

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Answer:

I wish I've known, but try using Symbo-Lab or Math-Way. They help a lot.

Step-by-step explanation:

Answer:

8

it's the prefix to the variable

Step-by-step explanation:

Answer:

Step-by-step explanation:

8

Answer:

Graph this points u will get the line.

(0,2) (2/5,0)

Step-by-step explanation:

The intercept of line with x-axis is at (0.4, 0) and with y-axis is at (0, 2).

The collection of all coordinates in the planar of the format [x, f(x)] that make up a variable function's graph.

The equation of the line is given below.

y = – 5x + 2

Put y = 0, then the x-intercept will be

0 = – 5x + 2

x = 2/5

x = 0.4

The x-intercept is (0.4, 0).

Put x = 0, the y-intercept will be

y = – 5(0) + 2

y = 2

The y-intercept is (0.4, 0).

Then the equation of line is drawn below.

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Answer:

10 days: ofc there is an easier way to do this but i did my own way down below :)

Step-by-step explanation:

in 1 day

cowboys: 300+25 is 325

saints: 700-15=685

in 2 days:

cowboys: 325+25 is 350

saints: 685-15 is 670

in 3 days:

cowboys: 350+25 is 375

saints: 670-15 is 655

in 4 days:

cowboys: 375+25 is 400

saints: 655-15 is 640

in 5 days:

cowboys: 400+25 is 425

saints: 640-15 is 625

in 6 days:

cowboys: 425+25 is 450

saints: 625-15 is 610

in 7 days:

cowboys: 450+25=475

saints: 610-15 is 595

in 8 days:

cowboys: 475+25 is 500

saints: 595-15 is 580

in 9 days:

cowboys: 500+25 is 525

saints: 580-15 is 565

in 10 days:

cowboys: 525+25 is 550

saints: 565-15 is 550

in 10 days, they will have the same number of followers

Answer:

122.5 i solved it on paper

Step-by-step explanation:

The height of the prism is 5x + 3 units.

What is volume?

A measurement of three-dimensional space is volume. It is frequently expressed numerically using SI-derived units, as well as different imperial or US-standard units. Volume and the definition of length are related.

Given:

The volume of a rectangular prism is given by the expression

10x^3 + 46x^2 – 21x – 27. The area of the base of the prism is given by the expression 2x^2 + 8x – 9.

We have to find the height of prism.

Volume of the rectangular prism = Base × Height

The expression is in the Question be

10x ³ + 46 x² - 21x -27

And the  area of the base of the prism is given by the expression

2x² + 8x - 9 .

Put in the formula

10x ³ + 46 x² - 21x -27  = 2x² + 8x - 9  × Height

The factor of 10x ³ + 46 x² - 21x -27 are (5x +3 )(2x² + 8x - 9) .

put in the formula

(5x +3 )(2x² + 8x - 9) = (2x² + 8x - 9) × Height

Cancelled 2x² + 8x - 9 on both side.

(5x+3)unit = Height

Hence, the height of the prism is 5x + 3 units.

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Answer: -23

Step-by-step explanation:

Step-by-step explanation:

5×10³) × (9×10^7)

= 45 × 10^10

= 4.5 × 10¹¹

Answer:

(5*10^3)*(9*10^7)=4.5*10^11

Step-by-step explanation:

5*10^3=5*1000=5000

9*10^7=9*10000000=90000000

5000*90000000=5*1000*9*10000000=5*9*10000000000=45*10000000000=450000000000, or 45 with 10 0's, or 10^10

45*10^10 is not simplified, as we need a number less then 10, so we divide 10 from 45, and add 1 to the exponent, getting 4.5*10^11

The statement (D) "If f(c) is differentiable on its domain, then it is also continuous on its domain" must be true.

(A) The statement "Continuous functions are differentiable wherever they are defined" is false. While it is true that differentiable functions are continuous, the converse is not always true. There exist continuous functions that are not differentiable at certain points, such as functions with sharp corners or cusps.

(C) The statement "If f() is differentiable on the interval (0,0), then it must be differentiable everywhere" is false. Differentiability on a specific interval does not imply differentiability everywhere. A function can be differentiable on a particular interval but not differentiable at isolated points or on other intervals.

(D) The statement "If f(c) is differentiable on its domain, then it is also continuous on its domain" is true. Differentiability implies continuity. If a function is differentiable at a point, it must also be continuous at that point. Therefore, if f(c) is differentiable on its domain, it must also be continuous on its domain.

(B) The statement "The product of two differentiable functions is not always differentiable" is false. The product of two differentiable functions is always differentiable. This is known as the product rule in calculus, which states that if two functions are differentiable, then their product is also differentiable.

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To find the percentage of batteries that fail to meet the guarantee, we need to calculate the probability that the battery lasts less than 40 hours. Since we know that the length of life of these batteries is normally distributed with mean 50 and variance 16, we can use the z-score formula:

z = (x - μ) / σ

where x is the value we want to find the probability for (in this case, x = 40), μ is the mean (μ = 50), and σ is the standard deviation (σ = sqrt(16) = 4).

So, we have:

z = (40 - 50) / 4 = -2.5

Looking up the probability for a z-score of -2.5 in a standard normal distribution table, we find that the probability is 0.0062, or 0.62%.

Therefore, approximately 0.62% of the batteries fail to meet the guarantee.

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If g is a horizontal shrink by a factor of 2/3, followed by a translation 4 units left of the graph of f(x)= √6x, the sequence of transformation from f(x) to g(x) is:

Dilation by a factor of 2/3

Horizontal translation to the left by 4 units

g(x) = 2/3 [√6(x - 4)]

The given function is f(x)= √6x

Shrink the function f(x)= √6x by a factor of 2/3, the resulting function becomes 2/3 (√6x)

Translate the resulting function by 4 units to the left of the graph to form g(x)

g(x) = 2/3 [√6(x - 4)]

Therefore, the sequence of transformation from f(x) to g(x) is:

Dilation by a factor of 2/3

Horizontal translation to the left by 4 units

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Answer:

14

Step-by-step explanation:

First, find the percentage of the other types of music.

Since 30 + 50 = 80, the other 20% will be other music.

To find 20% of 70, multiply 70 by 0.2:

70(0.2)

= 14

So, there are 14 CDs that are other types of music.

Answer is attached

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The  probability that between 78% and 86% were non-teacher workers from private schools is 0.7689

Eighty-four percent of non-teacher workers were employed in private schools.

p = 0.84

q = 1 - p = 1 - 0.84 = 0.16

if a random sample of 200 non-teacher workers from private schools was selected

We need to find the  probability that between 78% and 86% were non-teacher workers from private schools.

n = 200

μρ = 0.84

αp = √(p(1 - p)/n) = √(0.84(0.16)/200) = 0.026

P(0.78 < P < 0.86) = P((0.78 - 0.84)/0.026 < (p - μp)/σp < (0.86 - 0.84)/0.026)

= P(-2.31 < z < 0.77)

= P(z < 0.77) - P(z < -2.31)

using z table

0.7794 - 0.0103

= 0.7689

Therefore, the  probability that between 78% and 86% were non-teacher workers from private schools is 0.7689.

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Answer:

The starting height of the chairlift

Step-by-step explanation:

Given that,

For 4 weeks in June, Cameron biked 3 1/4 miles each week and swam 2 1/2 miles each week.

For 3 weeks in July, he biked 4 3/4 miles each week and swam 3 1/2 miles each week.

We need to find how much greater was the total distance Cameron bike and swim in July compared to the total distance he bike in swim in June.

In July, total distance is ,

\(4\dfrac{3}{4}\times 3+3\dfrac{1}{2}\times 3\\\\= \dfrac{19}{4}\times 3+\dfrac{7}{2}\times 3\\\\=24.75\ \text{miles}\)

In June, total distance is :

\(=4\times 3\dfrac{1}{4}+4\times 2\dfrac{1}{2}\\\\=\dfrac{13}{4}\times 4+\dfrac{5}{2}\times 4\\\\=23\ \text{miles}\)

Hence, in June total distance is 23 miles and in July total distance is 24.75 miles.

Step-by-step explanation:

y=3x+1, y= -3x+7

y=1,X=1

X+y=10,2x+2y=20

X=5, y=5

Answer:

C ≤ 2

Step-by-step explanation:

Given that :

Clayton is at most 2 meters above sea level ;

Let Clayton = C

Clayton's distance can be represented by the inequality :

2 meters above sea level is positive, +2

At most 2 meters above sea level means, Clayton could be anywhere between + 2 metwrs but not more than 2 meters

Hence, Clayton's distance can be represented by the inequality :

C ≤ 2

Answer:

Step-by-step explanation:

Line n is neither parallel nor perpendicular to the given line, since their slopes are not negative reciprocals (the slopes are -5/2 and 2/5, respectively).

Line m is neither parallel nor perpendicular to the given line, since their slopes are not negative reciprocals (the slopes are 5/2 and 2/5, respectively).

Line p is parallel to the given line, since they have the same slope (2/5).