Jessica earns $800 each month working a part-time job. She wants to save a total of $2,400 for college over a one-year period. What percentage of Jessica's total monthly budget should go to her college savings to meet her goal?

Laplacian of a vector field F is defined as the divergence of the gradient of the vector field F.

Laplacian of the given vector field F(x, y, z) = 3z²i + xyzj + x²z²k is as follows:Step 1: Finding the Gradient of the vector field F(x, y, z)The gradient of F is given as:grad(F) = ∂F/∂x i + ∂F/∂y j + ∂F/∂z k∂F/∂x = (0)i + (0)j + (6z)k = 6z k∂F/∂y = (z)i + (x)j + (0)k = zi + xj∂F/∂z = (0)i + (2xz)j + (2x²z)k = 2xz j + 2x²z kHence,grad(F) = 6z k + zi + xj + 2xz j + 2x²z k = xi + (2xz + 6z)j + (6xz + 2x²z)kStep 2: Finding Divergence of grad(F)The divergence of the vector field is given as:div(grad(F)) = ∇² F= ∂²F/∂x² + ∂²F/∂y² + ∂²F/∂z²= (2x) + (2) + (6x+6x)= 8x + 6zThus, the Laplacian of the given vector field F(x, y, z) = 3z²i + xyzj + x²z²k is 8x + 6z.

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Open the numbers for easy grasp by just knowing the decimal position but also you can read directly from the numbers and checking their exponents.

1.(Jurassic) 208000000

2.(Silurian) 438000000

3.(Tertiary) 66400000

4.(Triassic) 245000000

245000000Silurian, Triassic, Jurassic and Tertiary.

245000000Silurian, Triassic, Jurassic and Tertiary. And yes you are smart! Don't sell yourself short!

245000000Silurian, Triassic, Jurassic and Tertiary. And yes you are smart! Don't sell yourself short! All the best!

Step-by-step explanation:

8) all real numbers.

10)

\(y = a {b}^{x} \\ 12 \div 4 = 3 \\ b = 3 \\ a = 4 \\ y = 4 \times {3}^{x} \)

Answer:

they get  a 7/24th piece of cake.

Step-by-step explanation:

if we divide 3 1/2 by 12 we get 7/24

we use the 3 1/2 because that is how many cakes there are.
we use 12 because there are 12 boys that want to split the cake equally.

Answer:

1. Similar 6:1

2. Not Similar

3. Similar 6:5

Step-by-step explanation:

Okay

Answer:

About, 492.63.

Step-by-step explanation:

X(.76)(.75) = 1170

X = 1170/(.76)(.75) = about 2052.63

Spent on Transportation is the original amount * .24 = .24*1170/(.75 * .76) = around 492.63.

Answer:

Step-by-step explanation:

Area of top and bottom faces:

Area of front and back faces:

Area of left and right faces:

Total surface area:

Correct choice is C

Answer:

Youu can call the breadth x and then, as the length is two times the breadth, it would be 2x.

So now when we call x to the breadth and 2x to the length we can do an equation, as we know the sum of the four sides is 300 meters, so

2x + 2x + x + x = 300

6x = 300

x = 300/6 = 50

We know that the breadth is 50m, and, the length, which is twice the breadth, would be 100m in this exercise.

SO in this case, the breadth is 50 meters and the length is 100 meters..

Answer:

The market equilibrium price is approximately $36.43 per barrel.

Step-by-step explanation:

To find the market equilibrium price, we need to set the quantity supplied (QS) equal to the quantity demanded (QD) and solve for the price (P).

Given:

QS = -250 + 7P

QD = 260 - 7P

Setting QS equal to QD:

-250 + 7P = 260 - 7P

Now, let's solve for P:

Add 7P to both sides:

-250 + 7P + 7P = 260 - 7P + 7P

Combine like terms:

14P - 250 = 260

Add 250 to both sides:

14P - 250 + 250 = 260 + 250

Simplify:

14P = 510

Divide both sides by 14:

14P/14 = 510/14

Simplify:

P = 36.43

The market equilibrium price can be found by setting the quantity supplied (QS) equal to the quantity demanded (QD) and solving for the price (P) that satisfies this condition.

In the given scenario, the supply function is QS = -250 + 7P, and the demand function is QD = 260 - 7P. To find the equilibrium price, we set QS equal to QD:

-250 + 7P = 260 - 7P

Simplifying the equation, we get:

14P = 510

Dividing both sides by 14, we find:

P = 36.43

Therefore, the market equilibrium price is approximately $36.43 per barrel. At this price, the quantity supplied and quantity demanded will be equal, resulting in a state of equilibrium in the perfectly competitive domestic crude oil market.

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Answer:

78kg

Step-by-step explanation:

76×5= 380kg

380-72-74-75-81= 78kg

Answer:

The interest rate is 0.0425%

Step-by-step explanation:

Mathematically;

I = PRT/100

From the question, I in this context is the difference between how much they have paid and the amount borrowed

Mathematically, this is ; 364,000-160,000 = 204,000

This is the interest

R is the rate = ?

T = 30 years

P is the amount borrowed = 160,000

thus, we have

204,000 = (160,000 * R * 30)/100

2040 = 4800000R

R = 2040/4800000

R = 0.000425 which is 0.0425%

Answer:

Diagonal lines in the corners of rectangles represent areas that should be cut or removed from a design or printed material, serving as a guide for precise trimming and ensuring a polished final product.

Diagonal lines in the corners of rectangles typically represent objects or entities that have been "cut" or removed from the original shape. These lines are commonly referred to as "cut marks" or "crop marks" and are used in graphic design, printing, and other visual media to indicate areas of an image or layout that should be trimmed or removed.

In graphic design and print production, rectangles with diagonal lines in the corners are often used as guidelines for cutting or cropping printed materials such as brochures, flyers, or business cards. They indicate where the excess area should be trimmed, ensuring that the final product has clean edges.

These marks are essential for ensuring accurate and precise cutting, preventing any unintended white spaces or misalignment. They help align the cutting tools and provide a visual reference for removing unwanted portions of the design.

In summary, diagonal lines in the corners of rectangles represent areas that should be cut or removed from a design or printed material, serving as a guide for precise trimming and ensuring a polished final product.

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Answer:

Odel has sold 84 Pizzas and Sam has sold 42

Step-by-step explanation:

:p

Answer:

48 cm

Step-by-step explanation:

The surface area of an object will be all of it's side area's added up.

Looking at this, we can see that there are 4 sides with side lengths 2 and 5, and 2 with side lengths 2 and 2.

The area of a rectangle is it's length times width.

\(2 \cdot 5 = 10\)

Since there are 4 of these sides:

\(10\cdot4 = 40\).

\(2\cdot 2 = 4\)

Since there are two of these sides:

\(4 \cdot 2 = 8\).

\(40 + 8 =48\)

Hope this helped!

the answer 48

Step-by-step explanation:

take 4×2=8 take 8+40 and it equals 48

Answer:

The shorter side piece of fabric = x = 8 feet

The longer side piece of fabrics = (x + 2) = 10 feet

Step-by-step explanation:

Total yards of fabrics = 6 yards

you need to cut it in two pieces where one is two feet longer than the other.

First piece= x feet

Second piece= x+2 feet

Convert 6 yards to feet

6 yards = 18 feet

First piece + second piece = total piece of fabrics

x + (x+2) = 18

x + x + 2 = 18

2x + 2 = 18

2x = 18 - 2

2x = 16

Divide both sides by 2

x = 16 / 2

x = 8 feet

8 feet = 2.66667 yards

x + 2

= 8 + 2

= 10 feet

10 feet = 3.33333 yards

The shorter side piece of fabric = x = 8 feet

The longer side piece of fabrics = (x + 2) = 10 feet

Answer:

2 is the simplified fraction for 8/16. Simplify 8/16 to the simplest form.

Step-by-step explanation:

What is 8/16 Simplified? - 1/2 is the simplified fraction for 8/16. Simplify 8/16 to the simplest form. Online simplify fractions calculator to reduce 8/16 to the lowest terms quickly and easily.

Answer:

0.5 or 1/2

Step-by-step explanation:

nothing can futher be simplified

Answer:

∠AFE is an inscribed angle because the vertex lies on the edge of the circle

∠DOB is a central angle because the vertex lies at the center of the circle

∠HJG is an inscribed angle because the vertex lies on the edge of the circle

The value of x for this problem is given as follows:

x = 5.

Hence the angle measures are given as follows:

We have that angles A and D are congruent for this problem, meaning that they have the same measure.

Hence the value of x is obtained as follows:

7x - 3 = 5x + 7

2x = 10

x = 5.

Hence the angle measures are given as follows:

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Answer:

x=y^2-2

Step-by-step explanation:

This graph, is a parabola that opens to the right.

To answer this question, we just use the vertex form of a sideways parabola- x=a(y-k)^2+h.

In this case, the vertex is (-2, 0), and our value of a is 1, since it opens to the right.

This gives us: x=1(y-0)^2+(-2)

Which simplifies to: x=y^2-2.

Also, the answer to the previous two questions are wrong.

The D value (Domain) is actually [2, ∞)

The R value (Range) is actually "All real numbers" (-∞, ∞)

Let me know if this helps!

Answer:

5.5

Step-by-step explanation:

Answer: actually 5.504 rounded to 5.5

Step-by-step explanation:

Based on the projected sales of 1,400 total vehicles for the next year, the demand for each season can be determined. The demand for each season is as follows: 350 vehicles in winter, 350 vehicles in spring, 175 vehicles in summer, and 525 vehicles in fall.

To calculate the demand for each season, we can use the past sales data as a reference. In the past, the dealership sold an average of 1,200 vehicles each year. However, in the past two years, the sales figures were 220 and 260 in winter, 350 and 300 in spring, 150 and 160 in summer, and 300 and 660 in fall.

To estimate the demand for each season based on the projected sales of 1,400 vehicles for the next year, we can calculate the proportion of each season's sales compared to the total sales in the past. This gives us the following estimates: 350 vehicles in winter (25% of 1,400), 350 vehicles in spring (25% of 1,400), 175 vehicles in summer (12.5% of 1,400), and 525 vehicles in fall (37.5% of 1,400).

These estimates are based on the assumption that the sales distribution in the future will be similar to the past trends. However, it's important to note that actual market conditions and other factors may influence the demand for each season, so these estimates should be used as a rough guide and may require adjustment based on specific circumstances.

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At great axial distances x from a current-carrying loop, the magnetic field varies as:

b. x^-3

Here's the step-by-step explanation:

1. The magnetic field B at a point on the axis of a current-carrying loop can be given by the formula: B = (μ₀Ia²) / (2(a² + x²)^(3/2))

2. In this formula, μ₀ is the permeability of free space, I is current, a is the radius of the loop, and x is the axial distance from the loop.

3. When the axial distance x is much greater than the radius a (i.e., x >> a), the term a² in the denominator becomes negligible compared to x².

4. Therefore, the formula simplifies to: B ≈ (μ₀I) / (2x³)

As you can see, the magnetic field B varies as x^-3 at great axial distances from the current-carrying loop.

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Answer:

p = 13

Step-by-step explanation:

When a polynomial f(x) is divided by (x + h) then the remainder is f(- h)

Here both polynomials are divided by (x + 1)

Evaluate them both for x = - 1

3(- 1)³ - 5(- 1)² - 4(- 1) + p, that is

- 3 - 5 + 4 + p

= p - 4 → A

6(- 1)³ + p(- 1)² + 9(- 1) + 5, that is

- 6 + p - 9 + 5

= p - 10 → B

Given that A = 3B, then

p - 4 = 3(p - 10)

p - 4 = 3p - 30 ( subtract 3p from both sides )

- 2p - 4 = - 30 ( add 4 to both sides )

- 2p = - 26 ( divide both sides by - 2 )

p = 13

Where the above is given, the required angle m∠BAC = 45°.

In triangle ABC. AC represents the foreman’s line of sight to the top of the landfill. Landfill height is BC

The triangle is geometric shape which includes 3 sides and sum of interior angle should not grater than 180°

According to conditions angle b = 90°

The sum of angles of a triangle= 180°

That is a + b + c = 180

Therefore, c = a

       a = (180 - b)/2

          = (180 - 90) / 2

          = 90 / 2

          = 45°

Hence, the required angle m∠BAC = 45°

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Full Question:

Although part of your question is missing, you might be referring to this full question:

Question 1 Create Triangle ABC by drawing AC. Segment AC represents the foreman’s line of sight to the top of the landfill. What is Angle m BAC?

Answer:

Mean = 4

Step-by-step explanation:

Mean = sum of numbers over total amount of numbers.

2 + 4 + 7 + 1 + 6 = 20

We have 5 numbers

20/5 = 4

Answer:

4

Step-by-step explanation:

In order to find the mean all you have to do is add all the number up and divide by how many numbers there are.

so 2+4+7+1+6 = 20/5 = 4

5 x 4 = 20

Answer:i don’t know

Step-by-step explanation:

Answer: 0%

Step-by-step explanation:  If the question is written properly, there are no green blocks in box y.  Only red and blue.  Therefore, green = 0%.