I need help, Please help me.

Answer:

49/300 or 0.163 recurring

Step-by-step explanation:

7x21=147

147/900=49/300=0.1633333

As per the given situation, when g(x) = k · f(x), and f(x) = 2x, the value of k is 2.5.

In mathematics, a function is a relation between a set of inputs and a set of possible outputs, where each input is related to exactly one output. Functions are often represented using function notation.

To find k, we need to know the value of g(x) for a specific value of x. Let's say we want to find k when x = 3. Then:

g(3) = k · f(3)

g(3) = k · 2(3)

g(3) = k · 6

If we know the value of g(3), we can solve for k:

g(3) = 15

15 = k · 6

k = 15/6

k = 2.5

Therefore, when g(x) = k · f(x), and f(x) = 2x, the value of k is 2.5.

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The subsets of the set {e, n, t} are given as follows:

{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.

Considering a set with n elements, the number of subsets in the set is the nth power of 2, that is:

\(2^n\)

The set for this problem is given as follows:

{e, n, t}

The cardinality is given as follows:

n = 3.

Hence the number of subsets is given as follows:

2³ = 8.

The subsets are given as follows:

{{}, {e}, {n}, {t}, {e,n}, {e,t}, {n,t}, {e,n,t}}.

In which {} is the empty set.

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Answer:

-60

It is -60 because if it takes away 6 points for each cone you hit and you hit 10, then it would be -60 times 10, which equals -60.

Answer:

11

Step-by-step explanation:

The value of y is 18

Similar triangles have the same corresponding angle measures and proportional side lengths. The angles of the two triangle must be equal and it not necessary they have equal sides.

Therefore the corresponding angles of similar triangles are congruent and the ratio of corresponding sides of similar triangles are equal.

Therefore;

14/21 = 12/y

14y = 21 × 12

14y = 252

divide both sides by 14

y = 252/14

y = 18

Therefore the value of y is 18.

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The sum of the given sequence in number 18 is: 3

The formula for the sum of an arithmetic sequence is expressed as:

Sₙ = ⁿ/₂[2a + ( n − 1 )d ]

where:

n = the number of terms to be added.

a = the first term in the sequence.

d = the common difference

18) We have the sequence as:

1*¹/₅ + 2*¹/₅ + 3*¹/₅ + 4*¹/₅ + 5*¹/₅

Now, we can factorize the common term ¹/₅ to get:

¹/₅(1 + 2 + 3 + 4 + 5)

Adding the bracket gives:

¹/₅(15)

= 3

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Answer:

2

Step-by-step explanation:

1 +1 = 2

Answer:

43.6 has 3 significant figures.

The simplified expression as a single logarithm is:

log\([(x+4)^3(x-7)^2 / (x-2)^5] + log(x^2)\)

Let's start by using the power rule of logarithms, which states that \(log(base b)(x^a) = a \times log(base b)(x).\)

Using this rule, we can rewrite the expression as follows:

3log(x+4) + 2log(x-7) - 5log(x-2) + log(\(x^2\))

= log\((x+4)^3 + log(x-7)^2 - log(x-2)^5 + log(x^2)\)

Next, let's apply the product rule of logarithms, which states that log(base b)(xy) = log(base b)(x) + log(base b)(y).

Using this rule, we can combine the logarithms:

= log\([(x+4)^3(x-7)^2] - log[(x-2)^5] + log(x^2)\)

Finally, we can apply the quotient rule of logarithms, which states that log(base b)(x/y) = log(base b)(x) - log(base b)(y).

Applying the quotient rule, we can simplify further:

= log\([(x+4)^3(x-7)^2 / (x-2)^5] + log(x^2)\)

Thus, the simplified expression as a single logarithm is:

log\([(x+4)^3(x-7)^2 / (x-2)^5] + log(x^2)\)

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If \(f^{-1}(x)\) is the inverse of \(f(x)\), then

\(f\left(f^{-1}(x)\right) = x\)

We're given a domain for \(f(x)\) of \(x\ge0\), so \(f\left(f^{-1}(x)\right) = x\) is valid only for \(f^{-1}(x)\ge0\).

Now,

\(f\left(f^{-1}(x)\right) = \left(f^{-1}(x) + 1\right)^2 + 2 = x\)

Solve for the inverse :

\(\left(f^{-1}(x) + 1\right)^2 = x - 2 \\\\ \sqrt{\left(f^{-1}(x)+1\right)^2} = \sqrt{x-2} \\\\ \left|f^{-1}(x) + 1\right| = \sqrt{x-2}\)

Since \(f^{-1}(x)\ge0 \implies f^{-1}(x)+1 \ge0\), by definition of absolute value we have

\(\left|f^{-1}(x)+1\right| = f^{-1}(x) + 1\)

Then we end up with

\(f^{-1}(x) + 1 = \sqrt{x-2} \\\\ \boxed{f^{-1}(x) = \sqrt{x-2}-1}\)

Answer: B

Step-by-step explanation:

I did this before and got a 100%.

Given,

Station A and Station B are 290 feet apart.

Tracks rise 8 feet.

We need to find the slope of the tracks, because the slope of the track is the gradient of the track.

The slope is rise over run.

The rise is "8"

The run is "290"

Hence, the slope is >>>>>

To convert it to a percentage, we multiply by 100. Thus,

This is within the tolerance range of less than 3.5%.

So, this grade meets the rapid transit rail standards.

Answer:

85

Step-by-step explanation:

180-(67+28)

180-95

85

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The rectangular form of z is √(2) + √(2)i.

A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers and i is the imaginary unit, which is defined as the square root of -1.

In other words, a complex number is a number that combines both a real component (a) and an imaginary component (bi). The real component represents the position of the complex number on the real number line, while the imaginary component represents its position on the imaginary number line.

Complex numbers are used in many branches of mathematics, including algebra, geometry, calculus, and engineering. They are particularly useful for solving problems involving equations with roots that are not real numbers, and for modeling complex phenomena in physics and engineering, such as alternating current and electromagnetic waves.

The rectangular form of a complex number is defined as a + bi, where a is the real part and b is the imaginary part.

Given z = √(2) * [cos(-π/4) + i sin(-π/4)], we can find a and b as follows:

a = √(2) * cos(-π/4)

b = √(2) * sin(-π/4)

Using the identity cos(-x) = cos(x) and sin(-x) = -sin(x), we get:

a = √(2) * cos(π/4) = √(2) * √(2)/2 = √(2)

b = √(2) * sin(π/4) = √(2) * √(2)/2 = √(2)

So, the rectangular form of z is √(2) + √(2)i.

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Answer:

4b=y-10

Step-by-step explanation:

Derrick and Janis together plant a total of 30 + 90 = 120 strawberry plants on the first day.

To find out how many strawberry plants Derrick and Janis planted on the first day, we need to calculate the sum of the plants they individually planted.

Derrick planted 20% of the 150 strawberry plants:

20% of 150 = (20/100) * 150 = 30 strawberry plants.

Janis planted 60% of the 150 strawberry plants:

60% of 150 = (60/100) * 150 = 90 strawberry plants.

Therefore, on the first day, Derrick and Janis planted a total of 30 + 90 = 120 strawberry plants.

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Answer:

2 green apples

Step-by-step explanation:

you need to find 3 times ___ = 6 so you do 6 divided by 3 and get 2!

Answer:

it's so simple

Step-by-step explanation:

20°+74°+x°=180°

x°=180°-94

x°= 86°

if you purchased one ticket, your expected gross winnings are $0.36.

what is gross winnings  ?

Gross winnings refer to the total amount of money won before any taxes or fees are deducted. In other words, it is the total amount of money won by an individual in a lottery or other type of game of chance, without taking into account any deductions that may be made

In the given question,

To calculate the expected gross winnings, we need to multiply the probability of winning each prize by the value of the prize and then add up these values.

First, let's find the probability of winning each prize:

First prize: There is only one first prize, and there are 15,000 tickets sold, so the probability of winning the first prize is 1/15,000.

Second prize: There are two second prizes, so the probability of winning a second prize is 2/15,000.

Third prize: There are three third prizes, so the probability of winning a third prize is 3/15,000.

Now we can calculate the expected gross winnings:

First prize: The probability of winning the first prize is 1/15,000, and the value of the prize is $3,000, so the expected value of the first prize is (1/15,000) x $3,000 = $0.20.

Second prize: The probability of winning a second prize is 2/15,000, and the value of each prize is $750, so the expected value of a second prize is (2/15,000) x $750 = $0.10.

Third prize: The probability of winning a third prize is 3/15,000, and the value of each prize is $300, so the expected value of a third prize is (3/15,000) x $300 = $0.06.

Now we can add up these value to find the total expected gross winnings:

$0.20 + $0.10 + $0.06 = $0.36

Therefore, if you purchased one ticket, your expected gross winnings are $0.36.

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The first ten terms of the Lucas sequence are 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

The Lucas sequence or Lucas series are an integer sequence named after the mathematician francois Edouard Lucas, which are similar to the Fibonacci numbers, each Lucas number is defined to be the sum of its two immediate previous terms, thereby forming a fibonacci integer sequence.

Now, the sequence of first 10 numbers of Fibonacci series are-

0, 1, 1 ,2, 3, 5, 8, 13, 21, 34

which are defined as set of integers that starts with zero, followed by a one,then by another one and then by series of steadily increasing numbers,The sequence follow the rule that each number is equal to the sum of preceding two numbers.

And the sequence of Lucas sequence is -

2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

which is definedas  the sum of its two immediate previous terms.

The Lucas number may thus be defined as follows;

Ln =    \(\left \{ {{2} ; if n= 0 \atop {1}; if n = 1} \right.\)

Here we can see that Lucas series starts with 2 and 1 whereas Fibonacci series starts with 0 and 1.

Hence,The first ten terms of the Lucas sequence are 2, 1, 3, 4, 7, 11, 18, 29, 47, 76, 123, 199, 322, 521, 843.

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Answer: 5 : 3, 10: 6, 25: 15

Step-by-step explanation: We know from our original ratio that for every 5 peanuts, we have 3 cashews. Therefore 5:3, to get to 6 from 3, we have to double it, and whatever we do to the last number, we have to do to the first, so we get 10:6. We can continue this process for 15:9, 20:12, 25:15

Answer:

⁶⁄₉ = ²⁄₃,     ⁹⁄₆ = ³⁄₂,     ⁹⁄₃ = ⁶⁄₂,     ²⁄₆ = ³⁄₉

Step-by-step explanation:

☀First we will do the extremes of the problem ²/₆

☀Now we will do the means  of the problem ³⁄₉

                 We now have

                       ²/₆ =³⁄₉, now we can solve, here are the possible proportions we can make:

⁶⁄₉ = ²⁄₃,     ⁹⁄₆ = ³⁄₂,     ⁹⁄₃ = ⁶⁄₂,     ²⁄₆ = ³⁄₉

All your answers look good!

Answer:

looks good

Step-by-step explanation:

9514 1404 393

Answer:

  y = 5x - 7

Step-by-step explanation:

We can make an equation for the perpendicular line by swapping the x- and y-coefficients, negating one of them. Then we can use that form with the given point to see what the constant is.

  10x -2y = ...

Removing a common factor of 2 gives ...

  5x -y = 5(2) -(3) = 7 . . . .  using (x, y) = (2, 3), we can find the constant

Solving for y, we get ...

  5x -7 = y . . . add y-7

  y = 5x -7 . . . write in the desired form

The highest temperature on record belongs to California's Death Valley which, in 1913, reached a temperature of 134 degrees Fahrenheit, or 56.7 degrees Celsius, Al Jazeera reports.

The highest temperature in India is found in this city, situated at a height of 178 metres in Rajasthan, the country's biggest state. There, 50 degrees Celsius has been recorded as the greatest temperature to date. Extreme weather may be found in the city both in the summer and the winter.

However, according to the India Meteorological Department, the highest temperature ever recorded in India was 51°C (123.8°F) in the town of Phalodi, Rajasthan on May 19, 2016. It's important to note that temperatures can vary greatly depending on the location and time of year.

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The algebraic expression for the sentence in this problem is given as follows:

n - (x + 8).

The sentence in this problem is given as follows:

"A number n minus the sum of the number and eight".

The sum of an unknown number x and eight is given as follows:

x + 8.

The subtraction of the number n by the expression is given as follows:

n - (x + 8).

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The value οf P(x > 104) is 0.1587 οr apprοximately 15.87%.

Prοbability is the study οf the chances οf οccurrence οf a result, which are οbtained by the ratiο between favοrable cases and pοssible cases.

Tο find the prοbability οf P(x > 104) fοr a nοrmal distributiοn with mean οf 98 and standard deviatiοn οf 6, we need tο standardize the value οf 104 using the fοrmula:

z = (x - μ) / σ

where z is the standard scοre, x is the value we want tο find the prοbability fοr, μ is the mean οf the distributiοn and σ is the standard deviatiοn.

Plugging in the values, we get:

z = (104 - 98) / 6 = 1

Nοw we need tο find the area tο the right οf this value οn the standard nοrmal distributiοn table οr calculatοr.

Using a standard nοrmal distributiοn table οr calculatοr, we find that the area tο the right οf z = 1 is 0.1587.

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