A scale drawing of a lake has a scale of 1 cm to 80 m. If the actual
width of the lake is 1,000 m, what is the width of the lake on the
scale drawing in centimeters

Answer:

hexagonal based pyramid

E

7 faces

12 edges

7 vertex

13

15

Hope it helps :)

The Laplace Transform of f(t) isL{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...

                            = (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...= (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]

Given function is,f(t) ={ t, 0 < t < π π < t < 2π}

where f(t + 2 π) = f(t)

Let's take Laplace Transform of f(t)

                     L{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...f(t + 2π) = f(t)

∴ L{f(t + 2 π)} = L{f(t)}⇒ e^{2πs}L{f(t)} = L{f(t)}

     ⇒ [e^{2πs} − 1]L{f(t)} = 0L{f(t)} = 0

when e^{2πs} ≠ 1 ⇒ s ≠ 0

∴ The Laplace Transform of f(t) is

                       L{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...

                               = (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...

                              = (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]

The Laplace Transform of f(t) isL{f(t)} = L{t} + L{t + π}u(t − π) − L{t − 2π}u(t − 2π) + ...

                            = (1/s^2) + e^{−πs}(1/s^2) − e^{-2πs}(1/s^2) + ...= (1/s^2)[1 + e^{−πs} − e^{−2πs} + ...]

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Answer:

23 is 31/100

Step-by-step explanation:

not sure about the rest sorry :(

Answer:

16. Garret

17. 0

18. 4140

19. 2,3

20. 29/69

21. 3 1/3

22. choice  A

23. 31/100

24. 7

The confidence interval is (63.909, 64.0907).

The confidence interval of a population mean is found using the formula:

CI = x ± z(σ/√n), where CI is the confidence interval, x is the mean, z is the z-score corresponding to the confidence level, σ is the standard deviation, and n is the population size.

In the question, we are given the confidence level, c = 95%.

Z-score corresponding to this, z = 1.96.

The mean of the population, x = 6.4.

The standard deviation of the population, σ = 0.3.

The population size, n = 42.

Thus, using the formula, the confidence interval is:

CI = 6.4 ± 1.96(0.3/√42),

or, CI = 6.4 ± 0.09073037.

Thus, the confidence interval is (64 - 0.09073037, 64 + 0.09073037), or, (63.909, 64.0907).

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Answer:

Its 50

Step-by-step explanation:

Answer:

x = 52

Step-by-step explanation:

the right angle means 90 degrees so add 90 and 34 to get 124 then when u subtract from 180 degree (the degrees of a triangle) you get 54 degrees. that means that p has to be 124 degrees. 124 subtracted by 72 is 52. Therefore x is 52.

Answer: (a-b+2)x(a+b-2)

Step-by-step explanation:

1) factor out the negative sign from the expression: a^2(b^2-4b+4)

2) Using a^2-2ab+b^2=(a-b)^2, factor the expression: a^2-(b-2)^2

3) Using a^2-b^2=(a-b)(a+b), factor the expression: (a-(b-2))x(a+(b-2))

4) When there is a - in front of an expression in parentheses, change the. Sign of each term in the expression: (a-b+2)x(a+(b-2))

5) When there is a + in front of an expression in parentheses, the expression stays the same: (a-b+2)x(a+b-2)

The ordered pair that is on the function y=f(2x+1)+3 is (-3/2, 6)

Here we know that for the function:

y = f(x)

And we know that the point (-2, 3) belongs to the function, this means that:

f(-2)= 3

Now we want to find a point on the function:

f(2x + 1) + 3

If we find x such that:

2x + 1 = -2

2x = -3

x = -3/2

Now we can evaluate the function in that value of x to get:

y = f(2*-3/2 + 1) + 3

y = f(-2) + 3

y = 3 + 3

y = 6

Then we have the point (-3/2, 6) on the function.

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The volume of the complex figure is determined as 66 ft³ .

The volume of the complex figure is calculated from the summation of volume of the triangle and the volume of the cuboid.

Volume of the cuboid is calculated as follows;

V = 6ft x 2 ft x 3 ft

V = 36 ft³

The area of the triangle is calculated as follows;

A = ¹/₂ x base x height

A = ¹/₂ x 10 ft x 2 ft

A = 10 ft²

The volume of the triangle is calculated as follows;

V = Aw

V = 10 ft² x 3 ft

V = 30 ft³

Total volume = 30 ft³ + 36 ft³ = 66 ft³

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Answer:

i cant see the picture

Step-by-step explanation:

Is the relation a function:

To determine if the relation is a function, we need to check if there is exactly one output for each input.

Looking at the given set of points, we see that there are two points with an x-coordinate of -1: (-1, 3) and (-1, -2).

This means that there are two outputs for the same input, so the relation is not a function.

Therefore, the correct answer is: "No, because for each input there is not exactly one output."

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Answer:

See below.

Step-by-step explanation:

There are four ticks between each term, meaning that any point in between would be represented in fourths.

B is located at the first tick between 2 and 3, so the fraction is 2 1/4.

-hope it helps

Answer:

The correct answer is 2 1/4

Step-by-step explanation:

There are 4 dashes in the number line from 2 to 3 so the fraction has to be /4

It is 1/4 because B is on the first dash after 2

Given:

Consider the below figure attached with this question.

To find:

The interpretation for x-intercept in this context.

Solution:

In the given graph x-axis represents the second since sending print job and y-axis represents the Pages printed.

At x-axis the y-coordinate is 0. It means the x-axis represents the number of seconds that passed before the printer started printing pages.

Therefore, the correct option is C.

Answer:

B. The number of seconds that passed before the printer started printing pages

Step-by-step explanation:

Answer:

y = |-3|

Step-by-step explanation:

TRUST ME

Answer:

No

Step-by-step explanation:

There is no association between the state and the debt level for graduates because when all put into precentages they are all about the same.

Let \(n=0\). Then \(0^3 = 0\) but 0 > 0 is a false statement.

The amount the money will be worth in 4 years is $4072.41

The formula for calculating the compound interest is expressed as;

A = P(1+r/n)^nt

Given the following

P = $3700

rate r = 2.4% = 0.024

n =12

t = 4 years

Substitute

A = 3700(1+0.024/12)^12(4)
A = 3700(10.024/12)^48

A =  3700(1.10065)

A= 4072.41

Hence the amount the money will be worth in 4 years is $4072.41

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Answer:

4

Step-by-step explanation:

960/240 equals 4

What we know

The amount start's off at $6

Each mile adds $3

When he arrived it was $24

Tips are not added in the equation

Solving

The best way to do this to be honest would be to add all of it together as this is a pretty quick and easy method you can use and it's easy to check.

6+3+3+3+3+3+3 = 24

Adding these many 3's gives us the answer of 24

Meaning that Mike traveled 6 miles from his home to the airport

Statement

Therefore Mike traveled 6 miles during his trip from his home to the airport.

the area of the parallelogram is indeed sqrt(2).

To find the area of the parallelogram that has u = i + j + k and v = j + k as adjacent sides, we need to first find the cross product of the two vectors. The magnitude of the cross product is equal to the area of the parallelogram formed by the two vectors.

The cross product of u and v is given by:

u x v = |i j k |

|1 1 0 |

|0 1 1 |

= i(11 - 11) - j(10 - 10) + k(11 - 10)

= i + k

The magnitude of the cross product is |u x v| = |i + k| = sqrt(1^2 + 0^2 + 1^2) = sqrt(2).

Therefore, the area of the parallelogram formed by u and v is equal to the magnitude of the cross product, which is sqrt(2).

We can verify this result using a computer algebra system or a graphing utility. For example, using MATLAB or Python, we can define the vectors u and v and compute the cross product and its magnitude:

u = [1 1 1];

v = [0 1 1];

area = norm(cross(u,v));

The output of the above code will be:

area = 1.4142

which confirms that the area of the parallelogram is indeed sqrt(2).

In summary, we can find the area of a parallelogram formed by two adjacent vectors by computing the magnitude of their cross product. This formula is useful in calculating areas in geometry, physics, and engineering, and it can be easily verified using a computer algebra system or a graphing utility.

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The equation of line d is perpendicular to line c is y=-4/3 x+5.

The equation of line is y=3/4 x-2.

The increase divided by the run, or the ratio of the rise to the run, is known as the line's slope. In the coordinate plane, it describes the slope of the line.

In the equation of line is y=3/4 x-2, slope=m=3/4

The slope of a line perpendicular to given line is m1=-1/m2

So, the slope of a perpendicular line is -4/3

Substitute m=-4/3 and (x, y)=(6, -3) in y=mx+c, we get

-3=-4/3 (6)+c

⇒ -3=-8+c

⇒ c=5

Now, substitute m=-4/3 and c=5 in y=mx+c, we get

y=-4/3 x+5

Therefore, the equation of line d is perpendicular to line c is y=-4/3 x+5.

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If two methods agree perfectly in a method comparison study, the slope equals 1.0 and the y-intercept equals 0.0. Therefore, option (b) is the correct answer.

In a method comparison study, the goal is to compare the agreement between two different measurement methods or instruments. The relationship between the measurements obtained from the two methods can be described by a linear equation of the form y = mx + b, where y represents the measurements from one method, x represents the measurements from the other method, m represents the slope, and b represents the y-intercept.

When the two methods agree perfectly, it means that there is a one-to-one relationship between the measurements obtained from each method. In other words, for every x value, the corresponding y value is the same. This indicates that the slope of the line connecting the measurements is 1.0, reflecting a direct proportional relationship.

Additionally, when the two methods agree perfectly, there is no systematic difference or offset between the measurements. This means that the line connecting the measurements intersects the y-axis at 0.0, indicating that the y-intercept is 0.0.

Therefore, in a perfect agreement scenario, the slope equals 1.0 and the y-intercept equals 0.0, which corresponds to option (b).

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Answer:

Angle 3 is 65°, Angle 8 is 115°

Step-by-step explanation:

Angle 3 and 1- Linear Pair

Angle 8 and 1- Alternate Exterior

Step-by-step explanation:

1. Six families are represented.

2. Four families have at least three children.

3. Range = 15 - 1 = 14

4. Only one family has at most one child

Answer: 72.97 Minutes

Step-by-step explanation: We have two cars, A and B, traveling along a straight road. Car A is moving at a constant speed of 77.0 km/h, while car B is moving at a constant speed of 114 km/h. At the starting point (t=0), car B is 45.0 km behind car A.

To figure out how long it takes for car B to catch up and overtake car A, we need to consider their relative speeds. The relative speed is the difference between the speed of car B and the speed of car A.

Relative speed = Speed of car B - Speed of car A

Relative speed = 114 km/h - 77.0 km/h

Relative speed = 37.0 km/h

So, car B is moving 37.0 km/h faster than car A. Now, we need to determine the time it takes for car B to cover the initial distance between them, which is 45.0 km.

To calculate time, we use the formula: Time = Distance / Speed. In this case, the distance is 45.0 km, and the speed is the relative speed of 37.0 km/h.

Time = 45.0 km / 37.0 km/h ≈ 1.2162 hours

Now, let's convert the time to minutes by multiplying it by 60 (since there are 60 minutes in an hour).

Time = 1.2162 hours * 60 minutes/hour ≈ 72.97 minutes

Therefore, it takes approximately 1.2162 hours or 72.97 minutes for car B to catch up and overtake car A.

Hope this helps!

Answer: You can see if the graphs of the two populations meet at a given point.

Step-by-step explanation:

If we have a graph of population vs time

such that y = population and x = time, two different populations will be exactly the same for a given time if we have an intersection of the two graphs. The value (x0, y0) where the graphs cross is the time = x0 and the population y0, this means that both populations have y0 individuals at the same time.

Answer:

Rate of sales tax = 6% of $60

Sales tax = \(\frac{6}{100}\) × 60

               = $3.60

The chef should use approximately 80 milliliters of the first brand (5% vinegar) and (240 - 80) = 160 milliliters of the second brand (11% vinegar) to make 240 milliliters of dressing that is 9% vinegar.

Let's assume the chef uses x milliliters of the first brand (5% vinegar) and (240 - x) milliliters of the second brand (11% vinegar).

To find the amounts of each brand needed, we can set up an equation based on the vinegar content:

(0.05x + 0.11(240 - x)) / 240 = 0.09

Simplifying the equation:

0.05x + 0.11(240 - x) = 0.09 * 240

0.05x + 26.4 - 0.11x = 21.6

-0.06x = -4.8

x = -4.8 / -0.06

x ≈ 80

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Answer:

what? do you want them to be added?