Round 287.9412 to the nearest tenth.

Answer:

\((\frac{32}{243})^{-\frac{4}{5}}=39.0625\)

Step-by-step explanation:

Given

\((\frac{32}{243})^{-\frac{4}{5}}\)

Required

Solve

\((\frac{32}{243})^{-\frac{4}{5}}\)

Express 32 as 2^5 and 243 as 3^5

\((\frac{2^5}{3^5})^{-\frac{4}{5}}\)

The exponent can be expressed as 1\5 * -4

So we have:

\((\frac{2^5}{3^5})^{\frac{1}{5} * -4}\)

Apply law of indices:

\((\frac{2^{5*1/5}}{5^{5*1/5}})^{-4}\)

\((\frac{2}{5})^{-4}\)

In indices:

\((\frac{a}{b})^{-c} = (\frac{b}{a})^{c}\)

So, the expression becomes

\((\frac{5}{2})^{4}\)

\((\frac{5^{4}}{2^{4}})\)

\(\frac{625}{16}\)

\(39.0625\)

Hence:

\((\frac{32}{243})^{-\frac{4}{5}}=39.0625\)

Answer:The price of a bond can be calculated using the formula:

Price = Maturity Value / (1 + r)^n

Where:

Maturity Value = $12,000

r = the annual interest rate as a decimal (7.25% / 100 = 0.0725)

n = the number of years to maturity (11 years)

So the price of the bond is:

Price = $12,000 / (1 + 0.0725)^11

By solving this equation we get the price of bond is $7,065.87 approximately.

Note: The bond price is the amount you pay to buy the bond and receive the maturity value at the end of the bond term.

Step-by-step explanation:

Answer:

Step by step explanation:

well this is simble you just do it

Answer:

4 miles

Step-by-step explanation:

four times six equals 24

its the number of miles times six equals the minutes

Answer:

208 cubic units

Step-by-step explanation:

The composite figure in the picture is composed of a triangular prism and a rectangular prism, both which can be calculated by the base * height formula.
First, let’s calculate the volume of the triangular prism:

The base is the area of the triangle base, which is dc/2, or 4*3/2, which is 6. Next, multiply the area of the base by the height “b”: 6 * 8 = 48.

Now, let’s calculate the volume of the rectangular prism:

The base is the rectangular base’s area, which is a*c, or 5*4, which is 20. Next multiply the base by the height “b”: 20 * 8 = 160

Now, add up the volumes of the rectangular and triangular prisms:

160 + 48 = 208 cubic units

To support her discussion, it would be best for Alex to use Graph A for her presentation. Alex should use this graph for her presentation because the number of faulty products appears to decrease less on this graph.

In Mathematics and Geometry, a steeper slope simply means that the slope of a line is bigger than the slope of another line. This ultimately implies that, a graph with a steeper slope has a greater (faster) rate of change in comparison with another graph.

In order to determine an equation with a declining line, we would have to determine the slope of each line graphically and then taking note of the line with a negative rate of change (slope) because it indicates a decreasing function.

In this context, we can reasonably infer and logically deduce that Graph A is more suited for Alex's presentation because the number of faulty products appears to decrease less on it.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

The unadjusted cost of goods sold for the year is calculated by subtracting the ending inventory from the sum of beginning inventory and purchases. The formula is as follows:

Unadjusted Cost of Goods Sold = Beginning Inventory + Purchases - Ending Inventory

Without knowing the values for beginning inventory, purchases, and ending inventory, we cannot compute the unadjusted cost of goods sold for the year.

5. Given that the $70,000 ending balance in Work in Process includes $24,000 of direct materials, we can calculate the missing information as follows:

Direct Labor = Total Work in Process - Direct Materials - Overhead
Direct Labor = $70,000 - $24,000 - Overhead

Without knowing the value for overhead, we cannot compute the direct labor cost. However, we can rearrange the formula to solve for overhead:

Overhead = Total Work in Process - Direct Materials - Direct Labor
Overhead = $70,000 - $24,000 - Direct Labor

Without knowing the value for direct labor, we cannot compute the overhead cost.

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Answer:

Step-by-step explanation:Base on the diagram, and the following question, the following are the answers to your question.

#1 Congruent Angle

#2 Congruent Sides

#3 Side Angle Side

I hope you are satisfied with my answer and feel free to ask for more if you have question and further clarification

9514 1404 393

Answer:

  (16, -23)

Step-by-step explanation:

We assume your notation means the figure is dilated by a factor of 3 with the origin as the center of dilation, then it is translated 2 units left and 4 units up.

These transformations can be written as ...

  (x, y) ⇒ (3x, 3y) . . . . . . . dilation by a factor of 3 about the origin

  (x, y) ⇒ (x -2, y +4) . . . . translation by (-2, 4)

These two transformations together give you ...

  (x, y) ⇒ (3x -2, 3y +4)

  (6, -9) ⇒ (3·6 -2, 3(-9) +4) = (18 -2, -27 +4) = (16, -23)

The point is transformed to (16, -23).

Answer:

b. He should use the two-sample test of the mean to answer question one and the two-sample test of proportion to answer question two.

Step-by-step explanation:

Here we have two independent groups, Men and Women, therefore, to show if it is the Men or Women who performed better, this can be determined based the mean scores of each group. Therefore, use the two sample test of mean which is used to test whether the unknown mean of two independent population are equal or not.

In other to determine those who have the greater number of admissions between the two groups, this is determined by comparing the proportion of each group admitted. Hence, rather Than testing for the mean, we compare the proportion. Hence, we use the two sample test of proportion.

Answer:

c part is correct answer

Answer: D) 240 cm^3

Step-by-step explanation:

On edge

The labeling of bases and height in a trapezium is not fixed and can vary based on the context or problem. It doesn't matter where they are on the trapezium, as long as they are clearly defined and consistent within the given situation.

In a trapezium (or trapezoid), the labeling of the bases and height is not fixed or standardized. It can vary depending on the context or the specific problem being considered. However, there are a few general guidelines to keep in mind when labeling a trapezium.

Bases: The trapezium has two parallel sides, often referred to as the "top base" and the "bottom base." The bases are usually labeled based on their relative lengths or position in the trapezium. The longer parallel side is commonly referred to as the "top base," while the shorter parallel side is referred to as the "bottom base." However, this is not a strict rule and can vary depending on the problem or preference.

Height: The height of a trapezium is the perpendicular distance between the bases. It is generally labeled as a vertical line segment connecting the bases. The placement of the height is not fixed, and it can be drawn from any point on the top base to any point on the bottom base, as long as it forms a perpendicular line. The height is usually labeled with the symbol "h" or sometimes "x" or "y" depending on the context.

It's important to note that the labeling of the bases and height is primarily for communication and clarity. As long as the labeling is consistent and clearly defined within the given problem or context, it does not have to conform to any specific arrangement or be in a rectangular shape. The key is to ensure that the labels are clearly understood and can be used to calculate the desired quantities or solve the problem at hand.

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\(\displaystyle\int~4t(5t^2-1)^6 dt \\\\[-0.35em] ~\dotfill\\\\ u=5t^2-1\implies \cfrac{du}{dt}=10t~\hspace{10em} \cfrac{du}{10t}=dt \\\\[-0.35em] ~\dotfill\\\\ \displaystyle\int~4t~u^6\cdot \cfrac{du}{10t}\implies \int~\cfrac{4t~u^6}{10t}\cdot du\implies \int~\cfrac{2~u^6}{5}du\implies \cfrac{2}{5}\int~u^6\cdot du \\\\\\ \cfrac{2}{5}\cdot \cfrac{u^7}{7}\implies \cfrac{2(5t^2-1)^7}{35}\)

Answer:

1728 square ft²

Step-by-step explanation:

48x36=1728

Answer:

\(\large \boxed{\mathrm{Area}}\) = \(\large \boxed{\mathrm{12 \ ft^2}}\)

Steps:

12 inches = 1 foot

48 / 12 = 4 \(\meduim \boxed{\mathrm{feet}}\)

36 / 12 = 3 \(\large \boxed{\mathrm{feet}}\)

Answer:

3 x 4 = 12 ft²

The best statement that describes the amount of water in the pool is that it is decreasing during the time interval 4. That is option 3.

To determine the time interval of the water in the pool the following is carried out.

At 0 hour, the water is at the level of = 40 gallons

At 1 hour, the water decreased to = 25 gallons.

At 2 hours, the water decreased to = 10 gallons.

The water remained at a constant level till 4 hours.

Therefore, the amount of water in the pool is that it is decreasing during the time interval 4.

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Answer: D

I believe :0

The table which represents a linear function is table 4.

Function is a type of relation, or rule, that maps one input to specific single output.

In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable (the dependent variable) (the dependent variable). In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.

Linear function is a function whose graph is a straight line

We are given that;

The tables in the question

Now,

The table that represents a linear function is:

X   Y

1   3

2   7

3   11

4   15

The reason this is a linear function is that for each increase in the input value of X by 1, the output value of Y increases by a constant amount of 4. In other words, the rate of change of Y with respect to X is constant at 4, indicating a linear relationship between the two variables.

Therefore, the answer of the function will be table 4.

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The required length of the base of the triangular pane of glass is 22 inches.

We know that the formula for the area of a triangle is:

Area = 1/2 * base * height

We are given that the height of the triangular pane of glass is 32 inches and the area is 352 square inches. Substituting these values into the formula, we get:

352 = 1/2 * base * 32

Multiplying both sides by 2 and dividing by 32, we get:

base = 22

Therefore, the length of the base of the triangular pane of glass is 22 inches.

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Decrease: $20,250

Current value: $204,750

Step-by-step explanation:

To find the 9% of $225,000:

9 x 225000

(divide) 100

= 20,250

To find the current value:

225,000

-   20,250  = $204,750

Hope this helps :)

Answer:

i live in san diego

Step-by-step explanation:

Step-by-step explanation:

The first one is \(6 \frac{1}{2} \)

2nd is \(6 \frac{5}{8} \)

3rd is \(6 \frac{3}{4} \)

Answer:

(p-q) (3) = 40 The anwser is c

Step-by-step explanation:

If p(n)=4n2+4n−6 and q(n)=n2−5n+8.The value of (p−q)(3) will be 26. Option a is correct.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that,

p(n)=4n²+4n−6 and q(n)=n²−5n+8

Substitute the given values and apply the arithmetic operation as,

(p−q) = (4n²+4n−6) - (n²−5n+8)

(p−q) =3n²-n+2

Put n = 3 for the given conditions,

(p−q)(3) =3(3)² - 3 +2

(p−q)(3) =27-3+2

(p−q)(3) =29-3

(p−q)(3) =26

Thus, if p(n)=4n2+4n−6 and q(n)=n2−5n+8.The value of (p−q)(3) will be 26. Option a is correct.

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Answer:

the 12 pack is better because u get to pay less money

Step-by-step explanation:

Patterns are used to represent sequence of numbers.

The shape at the 50th position is a triangle

The pattern rule is given as: square, triangle, circle, oval.

The number of shapes (n) is given as:

\(n =4\)

So, the 50th shape is calculated using the following absolute operator

\(Shape = 50\%4\)

i.e. divide 50 by 4, and take note of the remainder.

When 50 is divided by 4, the remainder is 2

So, we have:

\(Shape =2\)

This means that, the shape at the 50th position is the same shape at the 2nd position.

Hence, the shape is triangle

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Answer:

symmetric property

Step-by-step explanation:

x=y then y=x