$2.99 for 20 shells

question:

The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.

Given a function:

f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6

where c is a constant.

The solution to the question is shown below.

Step 1: We have given a function:

f(t)=e5t+4t+7ln(t2+3c)+te-1+5e6

We have to find the number of words we have to write to express this function in words.

Step 2: Solution

f(t) = et5+4t + ln(t²+3c)⁷ +te-1+5e⁶

Where,

et5+4t = exponential function

ln(t²+3c)⁷ = natural logarithmic function

te-1 = linear function

e⁶ = exponential function

Therefore, f(t) can be expressed in words as:

The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.

Step 3: Conclusion

Hence, the function f(t) can be expressed in words with:The function f(t) is defined as e raised to the power 5t plus 4t plus the natural logarithm of the quantity t squared plus 3 times the constant c, raised to the power of 7, plus t times e raised to the power of -1 plus 5 times e raised to the power of 6.

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Answer:

x*1/5=60

5[x*1/5=60]

x=5*60

x=300

Step-by-step explanation:

-introduce the multiplicative inverse of 1/5 to the equation.

- 5*1/5 gives 1 on L.H.S

-Similarly 5*60 gives 300 on R.H.S

-finally x=300

Answer:

D. AO

Step-by-step explanation:

The radius can be made with a line from a point in the circumference (end) to the middle.

Point A is on the circumference. Point O is in the middle. So, line segment AO is the radius.

The radius of a circle is a line drawn from the center of the circle to any point on the circumference of the circle.

The radius of the circle are AO, CO and BO.

From the attached diagram of the circle, we have:

\(O \to\) center

There are three lines from center O to the circumference of the circle. The three points are: A, C and B.

This means that the radius of the circle are AO, CO and BO.

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Answer:

where is the question?

Step-by-step explanation:

Answer:

What is the question you want us to answer?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Just think how many times each two number goes into the first two numbers

Answer:

1) 78.87%

2) 99.7%

Step-by-step explanation:

The z-score for a normal distribution is given by:

\(z=\frac{X-\mu}{\sigma}\)

1- The given data is:

σ = 4 years

μ = 50 years

For X = 45 and X =55

\(z_1=\frac{45-50}{4}\\z_1=-1.25\\z_2=\frac{55-50}{4}\\z_2=1.25\)

A z-score of -1.25 corresponds to the 10.57th percentile of a normal distribution, while a z-score of 1.25 is equivalent to the 89.44th percentile.

Therefore, the percentage of the alligators are between 45 and 55 years old is:

\(P=89.44-10.57=78.87\%\)

78.87% of alligators.

2- The given data is:

σ = 2 minutes

μ = 17 minutes

For X = 11 and X =23

\(z_1=\frac{11-17}{2}\\z_1=-3\\z_2=\frac{23-17}{2}\\z_2=3\)

A z-score of -3.0 corresponds to the 0.135th percentile of a normal distribution, while a z-score of 3.0 is equivalent to the 99.865th percentile.

Therefore, the percentage of people that should be seen by the doctor between 11 and 23 minutes is:

\(P=99.865-.0135=99.73\%\)

99.7% of people.

Using the normal distribution, it is found that:

In a normal distribution with mean \(\mu\) and standard deviation \(\sigma\), the z-score of a measure X is given by:

\(Z = \frac{X - \mu}{\sigma}\)

In this problem:

The proportion between 45 and 55 years old is the p-value of Z when X = 55 subtracted by the p-value of Z when X = 45, then:

X = 55:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{55 - 50}{4}\)

\(Z = 1.25\)

\(Z = 1.25\) has a p-value of 0.8944.

X = 45:

\(Z = \frac{X - \mu}{\sigma}\)

\(Z = \frac{55 - 50}{4}\)

\(Z = -1.25\)

\(Z = -1.25\) has a p-value of 0.1057.

0.8944 - 0.10567= 0.7887.

0.7887 = 78.87% of the alligators are between 45 and 55 years old.

For the second question, by the Empirical Rule, 99.7% of people should be seen by the doctor between 11 and 23 minutes for this to be considered a normal distribution.

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It will take a total of 20 days for the water lily to cover the entire lake. This is because the water lily doubles in size every day, so on day 10 it would have already covered half of the lake. Therefore, in the remaining 10 days it would have covered the other half of the lake, giving a total of 20 days to cover the entire lake.

To illustrate this concept further, let us assume that the lake is initially 50 square meters in size. On the first day, the water lily would have covered 0.5 square meters, so on the second day it would have covered 1 square meter, and on the third day it would have covered 2 square meters, and so on. On the tenth day, it would have already covered 512 square meters, which is exactly half of the lake's initial size. Therefore, in the next 10 days it would have covered the remaining 512 square meters of the lake, making it a total of 20 days to cover the entire lake.

This can be represented in an equation by using an exponential function, where the water lily is doubling in size every day. This equation would be 2x=50, where x is the total number of days it would take for the water lily to cover the entire lake. Solving for x, the answer is 20, which is the number of days it takes for the water lily to cover the entire lake.

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The value of y is 6. When dividing 24 by 4, you get 6.

Answer:

(2,-2)

Step-by-step explanation:

took the test trust

The total distance covered during hiking is 15x + 10

Distance is the amount of space between two points.

Given that  Side a is 4x+1 side b:5x+4 side c:6x+5, hence:

Total distance = side a + side b + side c

Total distance = 4x + 1 + 5x + 4 + 6x + 5 = 15x + 10

The factor of the total distance is:

15x + 10 = 0

15x = -10

x = -2/3

The total distance covered during hiking is 15x + 10

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Answer:

(b) 91

Step-by-step explanation:

The probability of an item scanning correctly is 98.9%, so the probability of an item scanning incorrectly is 1 - 98.9% = 1.1%.

The expected number of items to buy to find one that scans incorrectly is 1 / 1.1% = 91. This means that you would expect to buy 91 items on average to find one that scans incorrectly.

Rounding up to the next integer, the answer is 92. Therefore, the correct answer is (b) 91.

The average rate of change over the interval [6, 6 + h] is (3 + 4h)/(6 + h).

In the given problem, the interval used in the formula for the average rate of change is the interval [6, 6 + h]. The average rate of change is calculated by finding the difference in the function values over the interval and dividing it by the difference in the input values.

To find the average rate of change, we need to evaluate the function at the endpoints of the interval [6, 6 + h].

At **t = 6**, the function value is given by **a(6) = 1/6 + 4 = 25/6**.

At **t = 6 + h**, the function value is given by **a(6 + h) = 1/(6 + h) + 4**.

The difference in the function values over the interval is **a(6 + h) - a(6)**.

To simplify the resulting complex fraction, we can find a common denominator and combine the terms:

**a(6 + h) - a(6) = (1/(6 + h) + 4) - (25/6)**.

To find a common denominator, we multiply the first term by **6/6**:

**a(6 + h) - a(6) = (1/(6 + h) + 4) - (25/6) * (6/6)**.

Simplifying:

**a(6 + h) - a(6) = (1/(6 + h) + 4) - (25/6) * (6/6) = (1/(6 + h) + 4) - 25/6**.

Now, we need to combine the terms by finding a common denominator:

**a(6 + h) - a(6) = (1/(6 + h) + 4) - (25/6) = (1 - 25 + 4(6 + h))/(6 + h)**.

Further simplifying:

**a(6 + h) - a(6) = (3 + 4h)/(6 + h)**.

Therefore, the resulting complex fraction simplifies to **(3 + 4h)/(6 + h)**.

The average rate of change over the interval [6, 6 + h] is **(3 + 4h)/(6 + h)**.

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The probability that the mean life expectancy in the sample is greater than 72 years is 0.214.

The 80th percentile for life expectancy in this population can be calculated using the formula

P80 = mean + (1.28 * standard deviation).

Therefore, the 80th percentile for life expectancy in this population is 73.6 + (1.28 * 11.2) = 97.6 years.

To calculate the probability that the mean life expectancy in the sample is greater than 72 years, we need to use the formula for the normal distribution, which is \(P(x > a) = 1- (Φ ( (a-μ)/σ) ).\)

In this case, a = 72, μ = 73.6, and σ = 11.2. Thus, the probability that the mean life expectancy in the sample is greater than 72 years is \(1-(Φ ((72-73.6)/11.2)) = 0.214.\)

Therefore, the probability that the mean life expectancy in the sample is greater than 72 years is 0.214.

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Answer:

99   (cm^2)

Step-by-step explanation:

Perpendicular to the AB segment at points D and C, the graph is divided into two triangles and a rectangle.

The area of the middle rectangle is equal to 8*9=72. The hypotenuse of the right triangle is 10cm, and one of the right sides is 9cm, so the other side is SQRT (10^2-9^2) = SQRT (19).

One side of the left triangle is 9cm long and the other side is 14-8-sqRT (19) = 6-sqRT (19) cm.

Then, add the area of the three parts.

72+9*sqrt（19）/2+9*（6-sqrt（19））/2=99    (cm^2)

Answer: 15 m

Step-by-step explanation:

Given

Total volume of the combined pyramid is \(V=2700\ mm^3\)

Height of top and bottom pyramid is

\(h_t=16\ mm\)

\(h_b=20\ mm\)

If the base has a side length of x, its area must be \(x^2\)

Volume of square prism is given by

\(\Rightarrow V=\dfrac{1}{3}Bh\quad [\text{B=base area}]\\\\\text{Total volume will be the sum of the two pyramids}\\\\\Rightarrow 2700=\dfrac{1}{3}\times x^2\times 16+\dfrac{1}{3}\times x^2\times 20\\\\\Rightarrow 2700=\dfrac{1}{3}\times x^2\times (16+20)\\\\\Rightarrow x^2=225\\\Rightarrow x=15\ mm\)

Thus, the value of \(x\) is 15 m.

The resultant ground velocity of the airplane is approximately 476.5 km/h, and its direction is approximately 81.9° (measured clockwise from the east).

To determine the resultant ground velocity and direction of the airplane, we can use vector addition.

Let's consider the velocity of the airplane as the vector A, which is heading due north with a magnitude of 400 km/h. The wind velocity can be represented as the vector B, which is blowing from the northeast (N45°E) with a magnitude of 100 km/h.

To find the resultant ground velocity, we need to find the vector sum of A and B.

First, we can break down the wind velocity vector B into its northward and eastward components using trigonometry.

The northward component (By) can be calculated as:

By = B * sin(45°) = 100 km/h * sin(45°) = 70.7 km/h

The eastward component (Bx) can be calculated as:

Bx = B * cos(45°) = 100 km/h * cos(45°) = 70.7 km/h

Now, we can add the northward components and eastward components separately to get the resultant vectors.

The northward component of the resultant velocity (Vy) is given by:

Vy = A + By = 400 km/h + 70.7 km/h = 470.7 km/h

The eastward component of the resultant velocity (Vx) is given by:

Vx = Bx = 70.7 km/h

Now, we can find the magnitude of the resultant ground velocity (V) using Pythagoras' theorem:

V = √(Vx² + Vy²) = √(70.7 km/h)² + (470.7 km/h)² ≈ 476.5 km/h

The direction of the resultant ground velocity can be found using trigonometry. The angle (θ) can be calculated as:

θ = tan^(-1)(Vy / Vx) = tan^(-1)(470.7 km/h / 70.7 km/h) ≈ 81.9°

Therefore, the resultant ground velocity of the airplane is approximately 476.5 km/h, and its direction is approximately 81.9° (measured clockwise from the east).

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The height of the flagpole is 9 meters.

On the diagram we can see two similar right triangles. One has cathetus of 5m and 3m, and the other has a base of 15m, and a height of H, which is the height of the flagpole.

Because the two triangles are similar, the quotients between the sides are equal, then we can write:

H/15m = 3m/5m

Solving that equtaion for H we will get.

H = (3/5)*15m

H = 9m

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Answer:

5, 12, 13

Step-by-step explanation:

let a = 5 , b = 12 , c = 13 , then

5² + 12² = 25 + 144 = 169

13² = 169

so a² + b² = c²

Answer:

3, 4, 5

Step-by-step explanation:

In a right triangle, we have 2 legs and a hypotenuse. The hypotenuse equals c, while the other 2 legs are a and b.

Lets say a = 3, b = 4, and c = 5

The formula is a² + b² = c²

3² + 4² = 5²

9 + 16 = 25

25 = 25

Therefore, 3, 4, and 5 can be dimensions of a right triangle.

Using the expression 24÷4=6 to calculate the equation, the solution is 60

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

24÷4=6

To find 240÷4, we simply multiply both sides of 24÷4=6 by 10

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

10 * 24 ÷ 4 = 6 * 10

Evaluate the products

240 ÷ 4 = 60

Hence, the solution is 60

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Answer: 8

Step-by-step explanation:

To determine the height of a tree using geometric means, we can set up a proportion based on similar triangles.

Let's assume "h" represents the height of the tree.

We have the following information: Distance from the tree: 8 ft

Height to your eyes: 4 ft

We can set up the proportion: Your height to distance = Tree height to distance

4 ft / 8 ft = h / (8 ft + h)

To solve for "h," we can cross-multiply and then solve the resulting equation:

4 ft * (8 ft + h) = 8 ft * h

4(8 + h) = 8h

32 + 4h = 8h

32 = 4h

Divide both sides of the equation by 4:

8 = h

Therefore, the height of the tree is 8 feet.

Answer:

Step-by-step explanation:

Answer:

The answer is 1.8

Step-by-step explanation:

you do this....

12/11 = 1.1

2/3 = 0.7

the - - cancel each other out so that makes it a posative so you add

1.1 + 0.7 = 1.8

Hope this helps! :)

Answer:

Ans is ( 1 , 4 )

Step-by-step explanation:

meter jhdogasdoiew

Answer:

(1, -5).

Step-by-step explanation:

The robot is at the point (-3, -5).

If it moves 4 to the right the x coordinate increases by 4 and the y-coordinate stays the same.

The answer is

((-3 + 4, -5)

= (1, -5).

The difference between the numbers (8.974×10^−4) and (2.560×10^−3) can be calculated by subtracting the second number from the first number. The result is approximately -1.6626×10^−3.

Explanation: To calculate the difference between the numbers, we subtract the second number from the first number. In this case, the first number is (8.974×10^−4) and the second number is (2.560×10^−3).

Subtracting the second number from the first number, we have (8.974×10^−4) - (2.560×10^−3). To perform the subtraction, we need to make sure that the numbers have the same exponent.

We can rewrite (8.974×10^−4) as (0.8974×10^−3) and (2.560×10^−3) as (2.56×10^−3). Now, we can subtract these two numbers: (0.8974×10^−3) - (2.56×10^−3).

Performing the subtraction, we get -1.6626×10^−3. Therefore, the difference between the numbers (8.974×10^−4) and (2.560×10^−3) is approximately -1.6626×10^−3.

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A strategy canvas is a visual framework used to analyze and compare the strategic positioning of different companies or products within an industry.

It is a tool developed by W. Chan Kim and Renée Mauborgne, the creators of the Blue Ocean Strategy, to help organizations identify and create new market spaces by differentiating their offerings.

The strategy canvas consists of two axes: the horizontal axis represents the key factors that the industry competes on, and the vertical axis represents the offering level or degree of offering provided for each factor. By plotting the current state of competing products or companies on the canvas, organizations can gain insights into the competitive landscape and identify areas of opportunity for innovation and differentiation.

The strategy canvas helps visualize the competitive factors that are driving the industry and highlights areas of convergence or similarity among existing offerings. It allows organizations to identify untapped market spaces where they can create unique value propositions and redefine the competitive boundaries.

To use a strategy canvas effectively, organizations need to analyze the key factors that customers value in the industry and assess the relative performance of their offerings compared to competitors. By identifying the factors where they are underperforming and overperforming, organizations can focus on enhancing their value proposition by reallocating resources, investing in areas of differentiation, and eliminating or reducing elements that do not create significant customer value.

A strategy canvas is a powerful tool for strategic analysis and innovation. It helps organizations visualize the competitive landscape, identify areas for differentiation, and create new market spaces by providing a clear understanding of customer preferences and the competitive factors that drive industry success.

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Answer:1.2 A.

Step-by-step explanation:

Answer:

y=9x+21

Step-by-step explanation:

y-y1=m(x-x1)

y-3=9(x-(-2))

y-3=9(x+2)

y-3=9x+18

y=9x+18+3

y=9x+21