HOW would I go about figuring this out? I need explanation not just answer

Answer: If two numbers are in a ratio of 2 to 3, this means that two times one number is equal to 3 times the other, or:

2*X = 3*Y, where X and Y are any numbers, and X is the bigger one and Y is the smaller one.

If Y=18, then:

2*X = 3*18 = 54

X=54/2 = 27

So the answer is 27.

Answer:

The scale factor is equal to [tex]0.4[/tex]  or [tex]\frac{2}{5}[/tex]

Step-by-step explanation:

we know that

If two figures are similar. then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z------> the scale factor

x------> the volume of the dilated prism

y------> the volume of the original prism

so

[tex]z^{3}=\frac{x}{y}[/tex]

we have

[tex]x=200\ ft^{3}[/tex]

[tex]y=3,125\ ft^{3}[/tex]

substitute

[tex]z^{3}=\frac{200}{3,125}[/tex]

[tex]z=\sqrt[3]{\frac{200}{3,125}}[/tex]

[tex]z=0.4[/tex]  or [tex]z=\frac{2}{5}[/tex]

To determine if Set B is a function of the values in Set A, we need to ensure that each value of x in Set A has only one corresponding value in Set B:

For each value of x, we can determine if Set B is a function or not by checking if there is only one corresponding value in Set B.

For x = -2, there is only one corresponding value in Set B, so it is a function.

For x = 5, there is only one corresponding value in Set B, so it is a function.

For x = 0, there are multiple corresponding values in Set B, so it is not a function.

For x = 1, there is only one corresponding value in Set B, so it is a function.

For x = -3, there is only one corresponding value in Set B, so it is a function.

Therefore, Set B is a function of the values in Set A for all values of x except for x = 0.

The new height of the tree after it has increased by 12.5% is 5.4 meters

To find the new height of the tree after it has increased by 12.5%, we start by calculating the increase in height using the following equation

Increase = 12.5% of the original height

The original height is given as 4.8m. So, the formula can be expressed as follows

Increase = 12.5% * 4.8

Increase = 0.125 * 4.8

Increase = 0.6 meters

Add the increase to the original height

New height = Original height + Increase

The above equation can then be expressed as follows

New height = 4.8 + 0.6

New height = 5.4 meters

Final answer:

Both algebra and geometry are integral to engineering, with algebra being more directly related to the numerical problem-solving aspects, and geometry being crucial for spatial understanding and design. A well-rounded engineering education incorporates both, to prepare students for advanced mathematical concepts and engineering science courses.

Explanation:

Both algebra and geometry are closely related to engineering, but they serve different purposes within the field. Algebra is fundamental for problem-solving and numerical analysis in engineering. It allows for the creation of mathematical models that can describe physical processes, and is often used alongside computer programs to solve complex real-life problems. Geometry, on the other hand, is essential for a thorough understanding of spatial relationships and structures, which are critical in fields such as mechanical, civil, and architectural engineering.

Based on the public debt in 2002 and the budget deficit incurred in 2003, the public debt in 2003 was D. $6,783,231,062,743.62.

The budget deficit refers to the amount that the government had to borrow in order to fund the budget of the country.

To find the public debt in 2003 therefore, you need to add the debt of the previous year to the deficit of the current year.

= 2002 Public debt + Budget deficit

= 6,228,235,965,597.16 + 554,995,097,146.46

= $6,783,231,062,743.62

In conclusion, the public debt in 2003 was $6,783,231,062,743.62.

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The equation for number of trinkets after x days is 8,000 + 3000 * x = y   and the number of days required to fill the warehouse is 14.

An equation is a mathematical statement that is formed when two algebraic expressions are equated using an equal sign.

The trinket factory can produce 3,000 trinkets per day

Total Capacity of warehouse is  50,000 trinkets

The trinkets in the warehouse is 8,000

The equation for the number of trinkets in the warehouse after x days is

Let y represents the total number of trinkets after x days

8,000 + 3000 * x = y

The days required to completely fill the warehouse is

8,000 + 3,000 * x = 50,000

3,000* x = 42,000

x = 14

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The  graphs that best represents the function is:

    Graph of f(x) equals 10 multiplied by 1.3 to the power of x.

The function that shows the relationship between f(x) and x: is:

                    [tex]f(x)=10\times (1.3)^x[/tex]

a)

Graph of f(x) equals 1.3 multiplied by 10 to the power of x.

This means that the expression is given by:

     [tex]f(x)=1.3\times (10)^x[/tex]

Hence, option: a is incorrect since it is not equal to the given function f(x).

b)

Graph of exponential function going up from left to right in quadrant 1 through the point (0, 0) and continuing towards infinity.

In the given function f(x) when x=0 we have:

     [tex]f(x)=10\times (1.3)^0\\\\\\f(x)=10\neq 0[/tex]

Hence, option: b is incorrect.

c)

Graph of f(x)  equals 10 multiplied by 1.3 to the power of x.

This means that the function f(x) is given by:

[tex]f(x)=10\times (1.3)^x[/tex]

which is obviously true.

       Hence, option: c is correct.

d)

Graph of (x) equals 1.3 to the power of x.

This means that the function f(x) is given by:

[tex]f(x)=(1.3)^x[/tex]

which does not m,atches the actual expression.

Hence, option: d is incorrect.

Final answer:

The discount amount on an item with a retail price of $995 and a 15% discount is $149.25 that is option a is correct answer.

Explanation:

Discount Amount Calculation:

Calculate the discount amount by multiplying the retail price by the discount percentage.

Discount = $995 x 0.15 = $149.25.

The correct answer is $149.25 (option a).

The polynomial representing the area of the walkway is the difference between the area of the large circle (π(y + 4)²) and the small circle (π(y − 4)²).

To find the polynomial that represents the area of the walkway surrounding a circular pool, we need to calculate the difference between the area of the larger circle (walkway plus pool) and the area of the smaller circle (just the pool).

The radius of the pool is y − 4, and the radius of the walkway plus the pool is y + 4. The area of a circle is given by A = πr².

First, calculate the area of the large circle:

Area of the large circle = π(y + 4)²

Then, calculate the area of the small circle:

Area of the small circle = π(y − 4)²

Finally, the polynomial for the area of the walkway is found by subtracting the area of the small circle from the area of the large circle:

Area of the walkway = π(y + 4)² − π(y − 4)²

The polynomial that represents the area of just the walkway (not including the pool) is π(8y + 32).

To find the area of just the walkway, we need to subtract the area of the pool from the area of the full circle formed by the walkway. The area of the pool is given by A = πr ^2, where r is the radius of the pool (y - 4). The area of the full circle is given by A = πr ^2, where r is the radius of the walkway (y + 4). Therefore, the area of the walkway is (π(y + 4) ^2) - (π(y - 4) ^2). Simplifying this expression, we get the polynomial: π(8y + 32).

Answer:

C.Medical expenses and nonreimbursed work expenses.

Step-by-step explanation:

just did it on apex

Answer:

C

Step-by-step explanation:

Medical expenses and nonreimbursed work expenses.