Find the upward unit normal n to the surface 7 cos(xy) = e^8z – 13 at (7, π, 0). (Write your solution using the form (*.*.*). Use symbolic notation and fractions where needed.) n = _____________

Answer:

you will have to pay 427.75 cents.

Step-by-step explanation:

Multiply 7.25 by 59.

Answer:

\(\displaystyle m=0\)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Point (-9, 9)

Point (3, 9)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

This question has a slope of zero.

Step-by-step explanation:

When trying to solve a problem like this, what I recommend doing is subtracting the y value in the first ordered pair from the y value in the second ordered pair, and doing the same for the x values. To write it as a formula,

y2 - y1

––––– = m          the 2 in the formula means that the y or x value was from the  

x2 - x1                  second ordered pair. The 1 means it was from the first                                      

                            ordered pair. The m means slope.

To evaluate the triple integral ∭ √(x^2 + y^2) dV using cylindrical coordinates, we need to express the integrand and the volume element in terms of cylindrical coordinates.

In cylindrical coordinates, we have:

x = ρcos(θ)

y = ρsin(θ)

z = z

The volume element in cylindrical coordinates is given by:

dV = ρ dz dρ dθ

Now let's substitute these expressions into the integrand:

√(x^2 + y^2) = √((ρcos(θ))^2 + (ρsin(θ))^2) = √(ρ^2(cos^2(θ) + sin^2(θ))) = ρ

Therefore, the triple integral becomes:

∭ ρ ρ dz dρ dθ

To evaluate this integral, we need to determine the limits of integration for each variable.

For ρ, it depends on the region of integration. Let's assume the region is bounded by ρ = a and ρ = b, where a and b are constants.

For θ, it typically ranges from 0 to 2π (a full revolution).

For z, it depends on the height of the region, so let's assume the limits are from z = c to z = d, where c and d are constants.

The integral becomes:

∫∫∫ ρ ρ dz dρ dθ

Integrating with respect to z first:

∫(c to d) ∫(a to b) ∫(0 to 2π) ρ ρ dθ dρ dz

Integrating with respect to θ:

∫(c to d) ∫(a to b) [(1/2)ρ^2] (2π) dρ dz

Simplifying:

2π ∫(c to d) ∫(a to b) (1/2)ρ^2 dρ dz

Integrating with respect to ρ:

2π ∫(c to d) [(1/6)ρ^3] (a to b) dz

Simplifying:

(2π/6) ∫(c to d) [(b^3 - a^3)] dz

(π/3) ∫(c to d) [(b^3 - a^3)] dz

Evaluating the integral with respect to z:

(π/3) [(b^3 - a^3)] (d - c)

So, the value of the triple integral ∭ √(x^2 + y^2) dV using cylindrical coordinates is (π/3) [(b^3 - a^3)] (d - c).

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Answer:

yes

Step-by-step explanation:

The Laplace equation ∂²f/∂x² + ∂²f/∂y² = 0 is satisfied by the function f(x,y) = 4x - 5y + 5.

The given Laplace equation is ∂²f/∂x² + ∂²f/∂y² = 0.

To show that f(x, y) = 4x - 5y + 5 satisfies this equation, we differentiate it twice with respect to x and y.

∂f/∂x = 4 and ∂²f/∂x² = 0∂f/∂y = -5 and ∂²f/∂y² = 0

Thus, substituting the values in the given equation, we get: ∂²f/∂x² + ∂²f/∂y² = 0 ⇒ 0 + 0 = 0

Therefore, the given function f(x, y) = 4x - 5y + 5 satisfies the two-dimensional Laplace equation.

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Answer:

50 minutes

Step-by-step explanation:

3:20 pm - 4:50 = 90 minutes

90 = 2a + 15 + a

90-15= 75

75= 2a + a

75 = 3a

75/3 = 25

25 x 2 = 50 minutes

Answer:

Step-by-step explanation:

Julie is planning to make cupcakes for her school bake sale. There are 285 students, 17 teachers, and 324 parents attending the bake sale. If she decides to make a cupcake for each person, how many cupcakes does she need to make?

1 cup cake per person

Hence: total number of cupcakes

= 285 + 17 + 324

626 cup cakes

Part a

y = 10x

For x=-3

substitute the value of x in the equation and evaluate it

y=10(-3)=-30

Part b

y = 6 - 2x

For x=11

y=6-2(11)=-16

Part c

y = 4x + 5

For x=1/2

y=4(1/2)+5=7

Answer: 40

Step-by-step explanation:

38+ 52=90

230-90=40

Let the smaller polygon have side lengths a and the larger polygon have side lengths b. Since the polygons are similar, the ratio of corresponding side lengths is the same as the ratio of their areas. That is:

b^2 / a^2 = 128 / 98

Simplifying this expression, we get:

b / a = √(128 / 98) = √(64 / 49) = (8 / 7)

Now we can use the fact that the perimeter of the smaller polygon is 42 inches:

4a = 42

a = 10.5

Substituting this into the ratio we found above, we get:

b = (8 / 7) * a = (8 / 7) * 10.5 = 12

Therefore, the larger polygon has a perimeter of:

4b = 4 * 12 = 48 inches.

It is false as the left and right ends of the normal probability distribution extend indefinitely, approaching but never touching the horizontal axis.

The statement is false because the left and right ends of the normal probability distribution do not extend indefinitely. In reality, the normal distribution is defined over the entire real number line, meaning it extends infinitely in both the positive and negative directions. However, as the values move further away from the mean (the center of the distribution), the probability density decreases. This means that although the distribution approaches but never touches the horizontal axis at its tails, the probability of observing values extremely far away from the mean becomes extremely low. Thus, while the distribution theoretically extends infinitely, the practical probability of observing values far from the mean decreases rapidly.

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The range of the apple seeds planted is 4.

Given is a graph of apple seeds being planted,

We need to find the range.

The range in statistics is a measurement of a dataset's dispersion or spread.

It offers details about the discrepancy between the dataset's biggest and lowest values.

The range is a straightforward and fundamental measure of variability that is simple to compute.

You deduct the dataset's smallest value from its largest value to get the range. If you have a dataset with n values, you can mathematically determine the range (R) as follows:

R = x(max) - x(min)

Where:

R denotes the range.

The dataset's biggest value is represented by max(x).

The dataset's smallest value is represented by min(x).

Here the values are,

Maximum value = 6

Minimum value = 4

Range = 2

Hence the range of the apple seeds planted is 4.

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Answer:

Prism A

Step-by-step explanation:

formula for prism triangular prisms: V=1/2(bhl) so V=1/2(4 x 7 x 9) V=126 m

formula for rectangular prisms: V=b x h x l so V= 8 x 8 x 2 V=128

126 is less than (<) 128 so Prism A

Answer:

b would be the correct answer

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

Step-by-step explanation:

We can say that let the total amount be represented by y

and let the number of months be x

given that he already had an amount of $200 already and he hopes to save $50 monthly

We can model his balance as

y=200+50x

also given tha x=24

put x= 24 in the expression for the total amount we have

y=200+50(24)

y=200+1200

y=1400

The convincing evidence provided by the confidence interval depends on whether the interval includes or excludes the value of 12 ounces. If it excludes 12 ounces, it provides convincing evidence of a difference. If it includes 12 ounces, it does not provide convincing evidence of a difference.

To determine whether the confidence interval provides convincing evidence that the true mean volume is different than 12 ounces, we need to examine the confidence interval and its relationship to the value of 12 ounces.

A confidence interval is constructed based on sample data and provides a range of values within which the true population parameter is estimated to lie. The width of the confidence interval is influenced by factors such as the sample size, variability of the data, and chosen level of confidence.

If the confidence interval for the mean volume does not include the value of 12 ounces, it suggests that the true mean volume is likely to be different from 12 ounces. In this case, the confidence interval provides convincing evidence that the true mean volume is different from 12 ounces.

However, if the confidence interval does include the value of 12 ounces, it does not provide convincing evidence that the true mean volume is different from 12 ounces. This suggests that the data is consistent with the possibility that the true mean volume could be 12 ounces.

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Step-by-step explanation:

A rotation 270 degrees counterclockwise about the origin Question 7 30 seconds Q. In the graph below, triangle P'Q'R' is the image produced by applying a transformation to triangle PQR

The absolute maximum and minimum value of f on [π/4, 7π/4] are 2.1523 and -2.2160 respectively.

Given function is f(t) = t cot(1/2t) on [π/4, 7π/4].

To find the absolute maximum and minimum value of the given function f(t), let's follow the following steps:

Step 1: Find the critical numbers of f(t) on the given interval. Critical number is a number in the interval where the derivative is zero or undefined.

Step 2: Find the values of f(t) at the critical numbers, end points of the interval.

Step 3: Compare all the values found in Steps 1 and 2 to determine the absolute maximum and minimum of the function f(t) on the given interval.

1) First find the critical numbers of f(t) on the given interval:

Using the chain rule and product rule,differentiate

f(t) = t cot(1/2t)  w.r.t t :

f′(t) = cot(1/2t) – (t/2) csc^2(1/2t)

Critical numbers occur where f′(t) = 0 or is undefined.

Therefore, we solve cot(1/2t) – (t/2) csc^2(1/2t) = 0 ...[1]

Note that the function cot(1/2t) is defined on the interval [π/4, 7π/4] if and only if 1/2t ≠ kπ for integer k.

So, we solve [1] only for those values of t which are not multiple of π.

For simplicity, let's write x instead of 1/2t.

Now, we have, cot x - (2x)^-1 = 0i.e. cot x = 1/2x

Now, graph of cot x and y = 1/2x are shown below:

The x-coordinate of the intersection points of the two graphs are the solutions of the equation cot x = 1/2x.

There are two solutions on the interval [π/4, 7π/4]: x = 1.20256 and x = 5.44148

Therefore, the corresponding critical numbers t are t = 1/(2x) and t = 1/(2x) = 1.65214 and t = 11.01182 (approximate to five decimal places).

2) Now, find the value of f(t) at the critical numbers and end points of the interval:

f(π/4) = (π/4) cot(π/8)

≈ 0.76537f(7π/4)

= (7π/4) cot(7π/8)

≈ -0.76537

f(1.65214) = 1.65214 cot 0.82607

≈ 2.1523

f(11.01182) = 11.01182 cot 5.50591

≈ -2.2160

Therefore, absolute maximum of f(t) on the interval [π/4, 7π/4] is 2.1523 and it occurs at t = 1.65214.

Absolute minimum of f(t) on the interval [π/4, 7π/4] is -2.2160 and it occurs at t = 11.01182.

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Answer:

75

Step-by-step explanation:

\(5 \times 10 = 50\)

\(5 \times 10 \div 2 = 25\)

\(50 + 25 = 75\)

The probability of hitting a yellow balloon on the first try is 10/25 or 2/5. After hitting the first yellow balloon, there are now 24 balloons left on the board, with 9 of them being yellow. The probability of hitting a yellow balloon on the second try is 9/24 or 3/8. To find the probability of both events happening, we multiply the probabilities together:

P(first yellow) * P(second yellow) = (2/5) * (3/8) = 6/40 = 3/20

Therefore, the probability that the next balloon hit is also yellow given that the first balloon hit is yellow is 3/20.

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Answer:2881

Step-by-step explanation:

Answer:

2881

Step-by-step explanation:

Therefore,

(-6, 3)(10, 3)

Answer:(7, 8)

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:yes

2.29 divided by 3.5

= 0.6542857143

and

rounded to the nearest tenth

= 0.7

Hope this helped you- have a good day bro cya)

Answer: the first term in the sequence is 9.

Step-by-step explanation:

Let the primary term be x.

At that point the moment term is 2x + 4.

And the third term is 2(2x + 4) + 4 = 4x + 12.

Since the third term is given as 48, we will set up an condition and unravel for x:

4x + 12 = 48

4x = 36

x = 9

Answer:

You can chose 3 in 5 :o

Step-by-step explanation:

By taking a common factor, we will see that the equivalent expression is:

\(12*\sqrt[3]{6c}\)

Here we start with the expression:

\(5*\sqrt[3]{6c} + 7*\sqrt[3]{6c}\)

Notice that if we define:

\(\sqrt[3]{6c} = u\)

We can rewrite our expression as:

\(5u + 7u\)

Now we can take the common factor u to write:

\((5 + 7)u = 12u\)

Now if we replace u y the cubic root, we will get:

\(12*\sqrt[3]{6c}\)

So the correct option is the third one.

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Answer:

false

Step-by-step explanation:

False.

The statement is almost correct, but it is missing one important detail. The median in a frequency distribution is determined by identifying the value that corresponds to a cumulative frequency of 50% (not a cumulative percentage of 50%).

The cumulative frequency is the running total of the frequencies as you move through the classes in the frequency distribution. Once you reach a cumulative frequency of 50%, you have identified the median.