The cost to rent a raft is $7 per person. A raft can hold up to 6 people. There is a $3 launch fee per raft. What is the total cost for a group of 6?


Before you tell me the answer tell me how do I explain how I got my answer :{

The value of h'(2) is 25

The chain rule is a fundamental rule in calculus that provides a method to differentiate composite functions.

A composite function is a function that is formed by taking the output of one function and using it as the input of another function.

For instance, if we have two functions f(x) and g(x), then the composite function h(x) can be defined as h(x) = f(g(x)), where g(x) is the input to f(x).

here we have

h(x) = √6 + 5f(x)

Derivative of h(x) with respect to x

h'(x) = d/dx (√6 + 5f(x))

h'(x) = d/dx (√6) + d/dx (5f(x))

h'(x) = 0 + 5f'(x)

h'(x) = 5f'(x)

Now substitute x = 2 and f'(2) = 5, to find h'(2)

h'(2) = 5f'(2)

h'(2) = 5(5)

h'(2) = 25

Therefore,

The value of h'(2) is 25

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Complete Question:

If h(x) = √6 + 5f(x), where f(2)= 6 and f'(2) = 5, find h'(2).

Answer:

37 degrees

Step-by-step explanation:

Answer: 2length plus 2breath circle is 2pie r

Step-by-step explanation:

perimeter of a rectangle is 2L + 2 B a

Answer:

(x,y)=(2,5)

Step-by-step explanation:

Answer:

Scale is 1/2

Step-by-step explanation:

5*1/2=5/2

12*1/2=6

When we simplify the ratio 15 to 20, we find that it is equivalent to the simplified ratio of 3 to 4.

To simplify a ratio, we need to find the greatest common divisor (GCD) of the two numbers and divide both the numerator and denominator by this common factor. The GCD is the largest number that evenly divides both numbers. In this case, we have the ratio 15 to 20, which can be written as 15/20.

To find the GCD of 15 and 20, we can list the factors of both numbers and identify the largest common factor. The factors of 15 are 1, 3, 5, and 15, while the factors of 20 are 1, 2, 4, 5, 10, and 20. By examining the factors, we can see that the largest common factor is 5.

Now, we divide both the numerator and denominator of the ratio 15/20 by 5:

15 ÷ 5 = 3

20 ÷ 5 = 4

Therefore, the simplified form of the ratio 15 to 20 is 3 to 4. This means that for every 3 units of the first quantity, there are 4 units of the second quantity.

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The transition to -24 degrees will take three hours .The balance between energy coming into and going out of the planet's system determines its temperature.

Explanation:

-8% / -24 = 3.

The transition to -24 degrees will take three hours.

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Answer:

2r-3(r+7)-8r=10(r-1)

2r-3r-21-8r=10r-10

-9r-10r=-10+21

-19r=11

-19/11=r

Step-by-step explanation:

Answer:

Step-by-step explanation:

Hi there! Just multiply by x and find the value of f=p. Good luck!

Answer:

y=4, pls mark brainliest if correct, thx(:

Step-by-step explanation:

y=  

2

−4−  

−48

​  

​  

=−2−2i  

3

​  

=−2.0000−3.4641i

y=  

2

−4+  

−48

​  

​  

=−2+2i  

3

​  

=−2.0000+3.4641i

y=4

a. Point-slope form is: y - y0 = m(x - x0). Plugging in our values, we get: y - 2 = -3(x - 11). Typically we can just leave it like this, but for the sake of simplifying it down to slope-intercept form, it would be y = -3x + 35.

b. y - 2 = -3((0) - 11)

y - 2 = 33

y = 35.

c. y = -3x + 35.

Edit: Bolded the last answer.

Using trigonometric ratios the approximate horizontal distance from the observatory to the island is option A: 322 feet.

What is trigonometric ratio?

Triangle side length ratios are known as trigonometric ratios. In trigonometry, these ratios show how the ratio of a right triangle's sides to each angle. Sine, cosine, and tangent ratios are the three fundamental trigonometric ratios.

We can use trigonometry to solve this problem.

Let's call the horizontal distance from the observatory to the island "x".

Since we know the opposite side (150 ft) and the angle of depression (25 degrees), we can use the tangent function -

tan(25) = opposite / adjacent

tan(25) = 150 / x

Solving for x, we get -

x = 150 / tan(25)

Using a calculator, we find that -

x ≈ 322 feet

Therefore, the horizontal distance value is 322 feet.

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Answer:

Step-by-step explanation:

Using trigonometric ratios the approximate horizontal distance from the observatory to the island is option A: 322 feet.

What is trigonometric ratio?

Triangle side length ratios are known as trigonometric ratios. In trigonometry, these ratios show how the ratio of a right triangle's sides to each angle. Sine, cosine, and tangent ratios are the three fundamental trigonometric ratios.

We can use trigonometry to solve this problem.

Let's call the horizontal distance from the observatory to the island "x".

Since we know the opposite side (150 ft) and the angle of depression (25 degrees), we can use the tangent function -

tan(25) = opposite / adjacent

tan(25) = 150 / x

Solving for x, we get -

x = 150 / tan(25)

Using a calculator, we find that -

x ≈ 322 feet

Therefore, the horizontal distance value is 322 feet.

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You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.

Normal distribution, also known as the Gaussian distribution, is a probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean.

In graphical form, the normal distribution appears as a "bell curve".

The normal distribution is the proper term for a probability bell curve.

In a normal distribution the mean is zero and the standard deviation is1. It has zero skew and a kurtosis of 3.

Normal distributions are symmetrical, but not all symmetrical distributions are normal.

The t-distribution describes the standardized distances of sample means to the population mean when the population standard deviation is not known, and the observations come from a normally distributed population.

Therefore,

You must use the t-distribution table when working problems when the population standard deviation (σ) is not known and the sample size is small (n<30). General Correct Rule: If σ is not known, then using t-distribution is correct. If σ is known, then using the normal distribution is correct.

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Answer:

The area is 5x

Step-by-step explanation:

1) a = lw (starter equation)

2) a= 5x (substiute x in for the width, and 5 in for the length)

Answer:

5x^2

Step-by-step explanation:

\(Solution \\

Here \\ \hookrightarrow \: length(l) = x \: units \\ \hookrightarrow \: breadth(b) = 5 \: units \\\hookrightarrow \: area = l \times b \\ \hookrightarrow \: area = x \: units \times 5 \: units \\ \hookrightarrow \: area = 5 {x}^{2} \)

Answer:

The answer is C: 11 and 12.

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can find the distance between line l and point P by finding the distance between point P and the closest point on line l.The slope of line l is 0, since both points have the same y-coordinate. Therefore, line l is a horizontal line. The y-coordinate of any point on line l is 1.To find the closest point on line l to point P, we need to find the point on line l that has a y-coordinate of 7. Since line l is horizontal, any point on line l with a y-coordinate of 7 will work. Let's choose the point (5, 7), which is on the same horizontal line as line l.Now we can find the distance between point P and the point (5, 7):sqrt((5-(-2))^2 + (7-1)^2) = sqrt(49 + 36) = sqrt(85)Therefore, the distance between line l and point P is sqrt(85).

Answer:

y = -12x + 3

Step-by-step explanation:

The slope-intercept form of an equation can be written as y = mx + b where m is the slope and b is the y-intercept. We are given both values, so we can plug them into the equation to get:

y = mx + b

y = -12x + 3

The half-life of radon-222 is approximately 3.84 days. We can find it in the following manner.

The half-life of a radioactive substance is the amount of time it takes for half of the initial amount of the substance to decay.

We can use the fact that the sample of radon-222 has decayed to 58% of its original amount after 3 days to determine its half-life.

Let N0 be the original amount of radon-222 and N(t) be the amount remaining after time t. We know that:

N(3) = 0.58N₀

We can use the formula for radioactive decay:

\(N(t) = N₀ * (1/2)^(t/h)\)

here h is the half-life.

Substituting in N(3) and simplifying:

\(0.58N₀ = N₀ * (1/2)^(3/h)\)

0.58 = (1/2)^(3/h)

Taking the natural logarithm of both sides:

\(ln(0.58) = ln[(1/2)^(3/h)]\)

ln(0.58) = (3/h) * ln(1/2)

h = -3 / ln(1/2) * ln(0.58)

Using a calculator, we get:

h ≈ 3.84 days

Therefore, the half-life of radon-222 is approximately 3.84 days.

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Marco celebrated his 13th birthday in the year 2021 - 13 = 2008.

In the 21st century, Marco will celebrate his Nth birthday in the year N2.

If Marco celebrates his Nth birthday in the year N2, we can say that Marco was born in N2 - N.

For example, if Marco is 30 years old in the year 2050 (N2 = 50), then he was born in 2020

N2 - N = 50 - 30

= 20

If Marco celebrated his 13th birthday in the year 20XX (let's say it is the year 2021), then he was born in

2021 - 13 = 2008.

Therefore, Marco celebrated his 13th birthday in the year 2021 - 13 = 2008.

Another way to approach this is to find the difference between N2 and N, which is the number of years between Marco's Nth and 1st birthdays.

Then, we can subtract that difference from the year of Marco's Nth birthday to get the year of his 13th birthday.

That is, N2 - N = number of years between Marco's Nth and 1st birthdays:

N2 - (N2 - N) = N, which is the year of Marco's Nth birthday

N - 13 = year of Marco's 13th birthday.

For example, if Marco is 25 years old in the year 2050 (N2 = 50), then N = 25 and his 13th birthday was in the year 2025 - 13 = 2012.

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Answer:

Step-by-step explanation:

Answer:

4/9 of an hour (26.666 minutes)

Step-by-step explanation:

4 * x * 40/60 = 1

x * 160/60 = 1

x=60/160 = 6/16 = 3/8 (this is the rate for one worker)

~~~~~~~~~~~~~~~~

6 * (3/8) * x = 1

x = 4/9

Answer: -3/16

Step-by-step explanation:

When there is a negative exponent like x^-2 it equals 1/(x^2) the negative puts the number as a fraction so continuing...

-12(x^-2) (y^-2) can be rewritten as

-12 (1/x^2) (1/y^2) now we plug in x = -2 and y = 4

-12 (1/(-2^2) (1/(4^2)); -2^2 = 4 , 4^2 = 16

-12 (1/4) (1/16)

-3 (1/16)

= -3/16

The value of S, which represents the length of each side of the square, is 4 miles.

To find the value of S, we need to determine the length of each side of the square. Given that the perimeter of the square is 16 miles, we can use the formula for the perimeter of a square, which is 4 times the length of a side.

Perimeter = 4 × S

Given that the perimeter is 16 miles, we can substitute this value into the equation:

16 = 4 × S

To solve for S, we divide both sides of the equation by 4:

16 ÷ 4 = S

4 = S

Therefore, S, which stands for the square's side lengths, has a value of 4 miles.

So, S = 4 miles.

This means that each side of the square measures 4 miles, and the square has equal sides and right angles at each corner.

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Answer:

y = - 2x + 8

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \(\frac{1}{2}\) x - 9 ← is in slope- intercept form

with slope m = \(\frac{1}{2}\)

given a line with slope m then the slope of a line perpendicular to it is

\(m_{perpendicular}\) = - \(\frac{1}{m}\) = - \(\frac{1}{\frac{1}{2} }\) = - 2 , then

y = - 2x + c ← is the partial equation

to find c substitute (3, 2 ) into the partial equation

2 = - 2(3) + c = - 6 + c ( add 6 to both sides )

8 = c

y = - 2x + 8 ← equation of perpendicular line

Answer:

74,779,038,221

Step-by-step explanation:

Answer:

Step-by-step explanation:

Given

\(5^3*7^5+9^8+0+0+0+0+0+0+9^7*5^6\)

We can eliminate all the zeroes.

\(5^3*7^5+9^8+9^7*5^6\)

Evaluate each term.

Raise 5 to the power of 3.

\(125*7^5+9^8+9^7*5^6\)

Raise 7 to the power of 5.

\(125*16807+9^8+9^7*5^6\)

Raise 9 to the power of 8.

\(125*16807+43046721+9^7*5^6\)

Raise 9 to the power of 7.

\(125*16807+43046721+4782969*5^6\)

Raise 5 to the power of 6.

\(125*16807+43046721+4782969*15625\)

Multiply 125 by 16807.

\(2100875+43046721+4782969*15625\)

Multiply 4782969 by 15625.

\(2100875+43046721+74733890625\)

Add 2100875 and 43046721.

\(45147596+74733890625\)

Add 45147596 and 74733890625.

\(74779038221\)

A calculator would help but here you go.

The approximate ordered pair for f(x) = g(x) is given by the intersection between the graphs, it is (4, 22), option a is the correct one.

Here we have the graph of two functions, f(x) and g(x).

To find the ordered pair where f(x) = g(x) (basically we are solving a system of equations), we just need to identify the point on the graph where these two lines intersect.

We can see that it happens for a value of x that is between 0 and 10, and a value of y that is between 20 and 30, the only option that meets that requirements is:

(4, 22)

So option a is the correct one.

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Answer:

x = 39

Step-by-step explanation:

The opposite angles of a parallelogram are congruent , so

3x - 15 = 2x + 24 ( subtract 2x from both sides )

x - 15 = 24 ( add 15 to both sides )

x = 39