Can I have help with this please?

Answer: finds the tax rate for his income level: 10%

Enters the base amount 29.16

Enters the amount of tax owed: 700

Divides by: 10 =:700

Step-by-step explanation:

I took the test hope this helps

The direction indices for a vector passing from point (34, 1, 12) to point (14, 12, 1) are calculated by subtracting the coordinates of the starting point from the ending point, resulting in the indices [-20 11 -11].

The student asked for the direction indices of a vector passing from point (34, 1, 12) to point (14, 12, 1) in a cubic unit cell. To determine the direction indices, we need to subtract the coordinates of the initial point from the coordinates of the final point. The resulting vector ∆r will have components ∆x, ∆y, and ∆z as follows:

Therefore, the direction indices for the vector are written without spaces and with negative signs for negative directions. In this case, the direction indices would be [-20 11 -11].

https://brainly.com/question/1420586

#SPJ3

Answer:

[tex]10x^{2} y^{-1}[/tex] for x=3 and y=2 is 45.

Step-by-step explanation:

In order to evalue the given expression [tex]10x^{2}y^{-1}[/tex] you have to rewrite it as a fraction, using the property for a negative exponent which says that [tex]y^{-1}[/tex] can be written as [tex]\frac{1}{y}[/tex]

You obtain: [tex]\frac{10x^{2} }{y}[/tex]

Now, you have to replace the given values of x and y in the previous expression:

x=3 and y=2

[tex]\frac{10(3)^{2} }{2}[/tex]

Solving the square:

[tex]\frac{(10)(9)}{2}[/tex]

Solving the multiplication and division:

[tex]\frac{90}{2} = 45[/tex]

The answer is 45

Final answer:

To find the integral of the vector field over the solid half ball, we calculate two surface integrals, one over the flat disk and one over the hemisphere's curved surface, and then sum their contributions.

Explanation:

The student has asked to calculate the surface integral of the vector field f = (x + 3y^5)i + ( y + 10xz)j + (z - xy)k over the upper half of the sphere [tex]x^2 + y^2 + z^2 = 1[/tex], with z ≥ 0. To solve this, we can use the divergence theorem, noting that the divergence of f is ∇ · f, and then integrating that over the volume of the half sphere. We divide the surface S into two parts: the flat circular disk at the bottom (where z = 0) and the curved surface of the half sphere. The flux through the curved surface can be found by integrating over the sphere's surface, while the disk contributes a separate integral. This requires calculating two different surface integrals, and adding their results.

The surface integral [tex]\(\int_{S} \mathbf{f} \cdot d\mathbf{s}\)[/tex] for the given vector field and half-ball surface is [tex]\(2\pi\)[/tex].

To calculate the surface integral [tex]\(\int_{S} \mathbf{f} \cdot d\mathbf{s}\)[/tex] where [tex]\(S\)[/tex] is the entire surface of the solid half-ball [tex]\(x^2 + y^2 + z^2 \leq 1, z \geq 0\) and \(\mathbf{f} = (x + 3y^5)\mathbf{i} + (y + 10xz)\mathbf{j} + (z - xy)\mathbf{k}\)[/tex], we will use the Divergence Theorem.

The Divergence Theorem states that for a vector field [tex]\(\mathbf{f}\)[/tex],

[tex]\[\int_{S} \mathbf{f} \cdot d\mathbf{s} = \int_{V} (\nabla \cdot \mathbf{f}) \, dV\][/tex]

where [tex]\(S\)[/tex] is the boundary surface of the volume [tex]\(V\),[/tex] oriented by the outward-pointing normal.

1. Calculate the Divergence [tex]\(\nabla \cdot \mathbf{f}\)[/tex]:

[tex]\[\nabla \cdot \mathbf{f} = \frac{\partial}{\partial x}(x + 3y^5) + \frac{\partial}{\partial y}(y + 10xz) + \frac{\partial}{\partial z}(z - xy)\][/tex]

Computing each term:

[tex]\[\frac{\partial}{\partial x}(x + 3y^5) = 1\][/tex]

[tex]\[\frac{\partial}{\partial y}(y + 10xz) = 1\][/tex]

[tex]\[\frac{\partial}{\partial z}(z - xy) = 1\][/tex]

So the divergence is:

[tex]\[\nabla \cdot \mathbf{f} = 1 + 1 + 1 = 3\][/tex]

2. Set up the volume integral:

The volume (V) is the solid half-ball defined by [tex]\(x^2 + y^2 + z^2 \leq 1\)[/tex] and [tex]\(z \geq 0\)[/tex].

We will integrate the constant divergence \(3\) over the volume of the half-ball. The volume of a full ball of radius 1 is \(\frac{4}{3} \pi (1^3) = \frac{4}{3} \pi\). Since we have a half-ball, the volume is:

[tex]\[\text{Volume of half-ball} = \frac{1}{2} \cdot \frac{4}{3} \pi = \frac{2}{3} \pi\][/tex]

3. Evaluate the volume integral:

[tex]\[\int_{V} (\nabla \cdot \mathbf{f}) \, dV = \int_{V} 3 \, dV = 3 \int_{V} dV = 3 \cdot \text{Volume of half-ball} = 3 \cdot \frac{2}{3} \pi = 2 \pi\][/tex]

Therefore, the surface integral is:

[tex]\[\int_{S} \mathbf{f} \cdot d\mathbf{s} = 2\pi\][/tex]

So, the final answer is:

[tex]\[\boxed{2\pi}\][/tex]

With 7.2 pounds of tomatoes, Fabian can make 3 batches of soup since each batch requires 2.4 pounds of tomatoes.

First, let's understand the total quantity of tomatoes Fabian has to make soup. He harvested a total of 10 pounds and set aside 2.8 pounds for spaghetti sauce. So, he has 7.2 pounds of tomatoes left to make soup. Every batch of soup needs 2 2/5 pounds of tomatoes which is equivalent to 2.4 pounds. To find out how many batches of soup he can make, divide the total weight of tomatoes he has for the soup by the weight each batch needs. Therefore, 7.2 divided by 2.4 gives 3 batches of soup.

https://brainly.com/question/32833997

#SPJ3

The decimal value of the 2 in the hexadecimal number f42ac16 is 2.

The hexadecimal number f42ac16 can be split into individual digits, where each digit represents a power of 16. Starting from the rightmost digit, the 2 represents the digit in the 16^0 (1) place, which is simply 2. Therefore, the decimal value of the 2 in the hexadecimal number f42ac16 is 2.

https://brainly.com/question/36345940

#SPJ11

Answer:

b) x=86,y=75,z=94

Step-by-step explanation:

The correct answer is:

b) his repair and maintenance costs were more than 3% a year

Explanation:

Lewis's house increases in value by 3% each year. However, if he spends more than 3% of the value of his home each year in repairs and maintenance, when he sells the home, he will not be making money; he will in fact lose money, compared to what he's spent the last two decades.

Answer:

C ) 8 sheets of red and 13 sheets of yellow felt

Step-by-step explanation:

Final answer:

Caleb's teacher needs to purchase 7.5 sheets of red felt and 12.5 sheets of yellow felt so that each of the 20 students can make a dog toy.

Explanation:

To calculate the amount of red and yellow felt Caleb's teacher needs to buy for 20 students to each make a dog toy, we can multiply the amount of felt needed for one toy by the total number of students.

Red felt needed: 3/8 sheet per toy

Yellow felt needed: 5/8 sheet per toy

For red felt:

3/8 sheet x 20 students = 60/8 sheets

To simplify this, we divide 60 by 8, which equals 7.5 sheets. So, the teacher needs to buy 7.5 sheets of red felt.

For yellow felt:

5/8 sheet x 20 students = 100/8 sheets

After simplifying, 100 divided by 8 equals 12.5 sheets. Therefore, the teacher needs to acquire 12.5 sheets of yellow felt.

Answer:

C is the correct answer.

Step-by-step explanation:

Took the test.

x(yz)

Answer: 6 Drumsticks

Step-by-step explanation:

The combination of coins are:

         3 dimes and 10 pennies.

Let there are d number of dines and p number of pennies.

Now as there are a total of 13 coins this means that:

                   d+p=13------(1)

and also the total value of the coins is 40 cents.

1 dime=10 cents

Hence, d dime= 10 d cents

Also, 1 penny= 1 cent

Hence p penny= p cents

Hence, we get:

                     10d+p=40------(2)

On subtracting equation (1) from (2) we get:

             9 d=27

on dividing both side by 9 we get:

                 d=3

On putting the value of d in equation (1) we get:

           3+p=13

i.e.  p=13-3

i.e.  p=10

The combination is:

    3 dimes and 10 pennies

The Volume of Figure is 233 inch³.

Volume is a three-dimensional quantity used to calculate a solid shape's capacity. That means that the volume of a closed form determines how much three-dimensional space it can fill. Volume is a three-dimensional quantity used to calculate the capacity of a container.

Given:

Top Cuboid:

length = 12 inch

width = 3 inch

Height = 3 inch

Bottom Cube:

Edge = 5 inch

So, the Volume of Figure

= Volume of Top Cuboid + Volume of Cube

= 12 x 3 x 3 + 5 x 5 x 5

= 72 + 125

= 233 inch³

Learn more about Volume here:

https://brainly.com/question/13338592

#SPJ3