find the following quantity. Do not round your answers 5.4% of 900

The pillars and the pyramids in the stadium gate means that we have to calculate the area of the items that make up the gate one after the other. At the end of the calculation, the calculated areas are then added up.

The total cost of painting is Rs.21344

First, we calculate the area of 1 side of 1 pillar using:

\(A = Height * Base\)

Where

\(Height = 10ft\) --- Height of the pillar

\(Base = 3ft\) --- Base of the pillar

So:

\(A = 10ft * 3ft\)

\(A = 30ft^2\)

The area of the 4 sides of the pillar is:

\(A_2 = 4 * A\) --- i.e. 4 multiplied by the area of 1 side

\(A_2 = 4 * 30ft^2\)

\(A_2 = 120ft^2\)

The area of the 2 pillars is:

\(Area_1 = 2 * A_2\) --- i.e. 2 multiplied by the area of 1

\(Area_1 = 2 * 120ft^2\)

\(Area_1 = 240ft^2\)

Because one part of the pyramid won't be visible, we calculate the area of the pyramid using:

\(Area = lw + l\sqrt{(w/2)^2 + h^2} + w\sqrt{(l/2)^2 + h^2}\)

Where:

\(h = 2\) -- the height

\(l = w = 3\) --- the base of the pillar is the length & width of the pyramid.

So, we have:

\(Area = 3\sqrt{(2/2)^2 + 2^2} + 3\sqrt{(2/2)^2 + 2^2}\)

\(Area = 3\sqrt{1 + 4} + 3\sqrt{1 + 4}\)

\(Area = 3\sqrt{5} + 3\sqrt{5}\)

\(Area = 6\sqrt{5}\)

For the two pyramids, the area is:

\(Area_2 = 2 * 6\sqrt 5\) -- 2 multiplied by area of 1

\(Area_2 = 12\sqrt 5\)

\(Area_2 = 26.8\)

So, the total area to be painted is:

\(Total = Area_1 + Area_2\) --- the sum of the area of the pillars and the pyramids

\(Total = 240+26.8\)

\(Total = 266.8ft^2\)

The unit cost of paint is:

Rate = Rs80 per sq.ft

The total cost of painting is:

\(Cost = 80 * 266.8\)

\(Cost = Rs.21344\)

Hence, the total cost of painting is Rs.21344.

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The volume of the composite figure is 240 mm³.

What is a  composite figure?

When broken down, a composite shape (or composite figure), also referred to as a compound shape, is composed of numerous other shapes.

Any shape that is constructed from two or more geometric shapes is referred to as a composite or compound shape.

The composite figure consists of three rectangular prisms.

The length, width, and height of the top rectangular prism are 6 mm, 3 mm, 4 mm respectively.

The length, width, and height of the middle rectangular prism are (5 + 6) mm = 11 mm, 3 mm, and 4 mm respectively.

The length, width, and height of the bottom rectangular prism are 3 mm, 3 mm, and 4 mm respectively.

The volume of a rectangular prism is the product of length, width, and height.

The volume of the top rectangular prism is (6×3×4) mm³ = 72 mm³

The volume of the middle rectangular prism is (11×3×4) mm³ = 132 mm³.

The volume of the bottom rectangular prism is (3×3×4) mm³ = 36 mm³.

The total volume of  composite figure is (72 + 132 + 36) mm³

= 240 mm³

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Answer:

\(\sqrt{384}\)

Step-by-step explanation:

\(\sqrt{384}\) is equivalent  to \(\sqrt[8]{6}\)

An equivalent expression to the given expression \(8\sqrt{6}\) is  \(\sqrt{384}\)

"It is a mathematical statement which consists of numbers, variables and some mathematical operations."

"The expressions that work the same even though they look different."

For given question,

We have been given an expression \(8\sqrt{6}\)

We know, for a positive real number a, \(\sqrt{a^2}=a\)

So, we can write 8 as \(8=\sqrt{8^2}\)

So, given expression becomes \(\sqrt{8^2}\sqrt{6}\)

We know, for any positive real numbers m, n, \(\sqrt{m} \sqrt{n}=\sqrt{mn}\)

\(\sqrt{8^2}\sqrt{6}\)

= \(\sqrt{8^2\times 6}\)

= \(\sqrt{64\times 6}\)

= \(\sqrt{384}\)

So, an expression \(8\sqrt{6}\) is equivalent to expression \(\sqrt{384}\)

Therefore, an equivalent expression to the given expression \(8\sqrt{6}\) is  \(\sqrt{384}\)

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Answer:

Ones

Step-by-step explanation:

The last digit will always be the ones place no matter what.

Answer:

ONES

Step-by-step explanation:

It tells us that a postage stamp costs $0.65; And how much would a roll of 100 stamps cost?

For this, the price of the stamps will be multiplied, plus the amount of the roll of 100 stamps, ten

Answer: So a roll of 100 stamps would cost $65.

Answer:

use acacolator

Step-by-step explanation:

hhhhahahahahahahaahah pp

Answer:

i think the question might be wrong.

Answer:

52 pints

Step-by-step explanation:

Given;

2 pints = 1 quart

To Find;

How many pints are in a 26-quart container

Solve;

Since 2 pints = 1 quart

Then the Formula = divide the volume value by 2

The equation for 2 pints = 1 quart is 2 ÷ x = 1

which x = 2.

Thus, the equation for 26 quart container = how many pints =

x ÷ 2 = 26

Divide/Multiply sides by 2

2x/2 = 26 * 2

Simplify

x = 52

Hence, there are 52 pints in a 26 quart container

~Learn with Lenvy~

Answer:

y=4/3x+15 1/3 (or) y=4/3x+46/3

Step-by-step explanation:

If it’s parallel, it has to have the same slope (4/3).  

Plug 7 in for x, and then find out what you have to do to make y equal -6.

y=4/3x+15 1/3 (or) y=4/3x+46/3

Answer:

B.  Dilate ΔPQR by the scale factor of 2 from point Q, and translate ΔP′Q′R′ by the rule (x + 1, y + 0).

Step-by-step explanation:

Dilations make the most sense for the shapes shown, and it can't be A because if you were to do y - 1 then it would be further away and would no longer be equivalent.

Answer:

would actually be answer D. Translate ΔPQR by the rule (x + 1, y − 1), and dilate ΔP′Q′R′ by a scale factor of 2 from point R.

Step-by-step explanation:

took the test :]

Answer:

answer below

Step-by-step explanation:

1. price per gallon of gasoline and total cost of gasoline

2. distance from a door and height of a wheelchair ramp

perfect positive linear relationship:

this is a relation that exists between two variables. The pearson correlation is used to check this relationship and if the relationship is 1.0 then it is established that a positive linear relationship exists

negative linear relationship

this is a relationship between variables where the pearson correlation is less than 0. if the value is -1.0 then a negative linear relatioship exists.

price per gallon of gasoline and total cost of gasoline move in the same direction so it is positive.

distance from a door and height of a wheelchair ramp are negative because they do not move in the same direction.

Answer:

(-5, 0)

Step-by-step explanation:

The y value of an x intercept is always 0. Therefore, we can substitute 0 for y in the equation to find the x intercept:
3x - 5(0) = -15
3x = -15
x = -5
The x intercept is (-5, 0)

The logarithmic function can be written exponentially as follows.\(t = 8^y.\)

Exponents and logarithms are inverse operations of one another. We can rewrite an equation in logarithmic form as log_a(b) = x if it has the form axe = b. A number's logarithm is the exponent that must be raised in order to obtain that number. For instance, since 102 = 100, log_10(100) = 2. Similar to this, we can express an equation in exponential form, such as axe = b, if it is in logarithmic form, such as log_a(b) = x. The inverse function of the logarithmic function is the exponential function. As a result, when we apply a logarithm to an exponential expression, the original exponent is returned, and the opposite is true.

The given logarithmic expression is \(log_{8}(t) = y.\)

We know that if we have an equation in the form \(a^x = b\), we can rewrite it in logarithmic form as \(log_a(b) = x\) and vice versa.

Thus, \(log_{8}(t) = y\)

\(t = 8^y\)

Hence, the logarithmic function can be written exponentially as follows.\(t = 8^y.\)

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The distance from the floor when t = 6.5 seconds is about 13.7 cm.

We are given that;

H(t)=A cos (Bt) +D

Now,

b. To write an equation of the form H(t) = A cos (Bt) + D for the graph, we need to find the values of A, B, and D.

A is the amplitude of the cosine function, which is half the difference between the maximum and minimum values of H(t). In this case, the maximum value is 36 and the minimum value is 12, so:

A = (36 - 12) / 2 A = 12

D is the vertical shift of the cosine function, which is the average of the maximum and minimum values of H(t). In this case:

D = (36 + 12) / 2 D = 24

B is related to the period of the cosine function, which is the time it takes for one complete cycle. In this case, the period is 8 seconds, because H(t) repeats its values every 8 seconds. The formula for B is:

B = 2π / period

So:

B = 2π / 8 B = π / 4

Therefore, the equation is:

H(t) = 12 cos (π/4 t) + 24

c. To find the distance from the floor when t = 6.5 seconds, we need to plug in t = 6.5 into the equation and evaluate H(t). Using a calculator, we get:

H(6.5) = 12 cos (π/4 × 6.5) + 24 H(6.5) ≈ 13.7

Therefore, by the equation answer will be 13.7 cm.

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40.6 miles and $9.77

Step-by-step explanation:

[Number 1]

8.12 × 5

= 40.6 miles

[Number 2]

2.79 × 3 ½

= 2.79 × 3.5

= 9.765

≈ $ 9.77

Answer:

None

Step-by-step explanation:

None.  A unit cube has dimensions 1 by 1 by 1, so it could not contain a rectangle of dimensions 3 by 1 by 1.

Answer:

X=10

Step-by-step explanation:

4.5x +55=100

Answer:

X=10

Step-by-step explanation:

4.5x +55=100

Answer:

515$

Step-by-step explanation:

Because 20$=1 month

1 year=12 months

12 months=240$

2 years=24 months

20x24=480+35$ for the hotspot in the first place=415

1) 3:00 to 4:00

2) 103

The required solution is 4:00 to 5:00 and  87  customers.

It is required to fill in the blanks.

The arithmetic refers to working with numbers by doing addition, subtraction, multiplication, and division. Fractions, decimals, percentages, fractions, square root, exponents, and other arithmetic operations are used to achieve mathematical simplifications.

Given:

According to question , Initially, there were 75 customers.

From 1:00 to 2:00, a total of 30 more people entered, meaning there were

 75 + 30 - 12

= 93 people.

From 2:00 to 3:00, a total of 14 more people entered, meaning there were

93 + 14 - 8  

= 99 people.

From 3:00 to 4:00, a total of 18 people entered, meaning there were

 99 + 18 - 30

= 87 people.

4:00 to 5:00   :  If the store does not accept any more customers except those who are already inside then, all 87 must leave between 4:00 to 5:00 in order to left from the store by 5:00.

Therefore, the required solution is 4:00 to 5:00 and  87  customers.

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Hubble's constant in units of km/s/million LY is approximately 21.47.

what is  approximately ?

Approximately means close to or nearly, but not exactly. It is used to indicate that a value or number is an estimation or approximation, rather than an exact value. It is often used when a precise value is not necessary or when the exact value is unknown or difficult to determine.

In the given question,

To convert Hubble's constant from km/s/Mpc to km/s/million LY, we need to multiply it by a conversion factor that accounts for the difference in distance units. We can use the fact that 1 Mpc is equal to 3.26 million LY:

1 Mpc = 3.26 million LY

Therefore, to convert Hubble's constant from km/s/Mpc to km/s/million LY, we can use the following conversion factor:

1 Mpc / 3.26 million LY

Multiplying Hubble's constant by this conversion factor gives:

H = 70 km/s/Mpc x (1 Mpc / 3.26 million LY) = 21.47 km/s/million LY

Therefore, Hubble's constant in units of km/s/million LY is approximately 21.47.

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The weight of the beaker, including the weight of the water, is approximately 173.1 ounces when rounded to the nearest tenth. To find the weight of the beaker when filled with water, including the weight of the cylindrical beaker itself, we need to calculate the weight of the water and add it to the weight of the empty beaker.

First, let's find the volume of the water in the beaker. The beaker is filled to one inch from the top, which means the height of the water is 11 - 1 = 10 inches.

The volume of the water can be calculated using the formula for the volume of a cylinder: \(V = \pi r^2h\), where r is the radius and h is the height.

\(V = \pi (3^2)(10) = 90\pi\) cubic inches

Next, we need to find the weight of the water. Given that one cubic inch of water weighs 0.6 ounces, we can multiply the volume of the water by 0.6 to get the weight of the water.

Weight of water = 90π x 0.6 = 54π ounces

Finally, we need to add the weight of the empty beaker, which is 3.5 ounces, to the weight of the water.

Weight of beaker with water = 54π + 3.5 ounces

To find the approximate value, we can use the value of π as 3.14.

Weight of beaker with water ≈ 54 x 3.14 + 3.5 ≈ 169.56 + 3.5 ≈ 173.06 ounces

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No, the relationship on the table is not proportional

From the question, we have the following parameters that can be used in our computation:

x   y

____ ____

6 -2

7 -1

8 0

9  1

On the table of values, we can see that:

Using the above as a guide, we have the following:

The relationship is not a proportional relationship

This is so because it does not have a constant rate (addition of 1 to x and y does not represent proportional relationship)

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Answer:

\( \frac{1}{12} \)

Step-by-step explanation:

\( \frac{2}{9} \div \frac{8}{3} \\ = \: \frac{1}{12}\)

So, if you divide 2/9 by 1/12, you'll get 8/3

Answered by GAUTHMATH

The three quadratic equation with different maximum and/or minimum values are y = (x-4)² – 1, y = -(x-4)² + 1, and y = -3(x-4)² + 3.

Quadratic equation:

In math, quadratic equation is the algebraic equation of the second degree in x.

The general form of quadratic equation is

ax² + bx + c = 0,

where a and b are the coefficients, x is the variable, and c is the constant term. The first condition for an equation to be a quadratic equation is the coefficient of x² is a non-zero term(a ≠ 0).

Given,

Here we need to find the three equations for quadratics in vertex form that have roots at 3 and 5 but have different maximum and/or minimum values.

As per the definition of quadratic equation, here we have to write the quadratic equation, that have the roots of 3 and 5,

Here the problem was going to call for two equations but then we have realized that it could be as simply as multiplying the a and c values by -1. Therefore, the equation are,

=> y = (x-4)² – 1,

=> y = -(x-4)² + 1,

=> y = -3(x-4)² + 3.

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The missing value 'x' in the two-way relative frequency table is 0.36.

To convert the two-way table to a two-way relative frequency table, we need to calculate the relative frequencies for each category. Relative frequency is calculated by dividing the frequency of a particular category by the total count in that row or column.

Let's denote the missing value as 'x'. To find the value of 'x', we need to ensure that the sum of the relative frequencies in each row and each column adds up to 1.

First, let's calculate the relative frequencies for each category:

Likes hockey: The total count in this row is 12 + 18 = 30.

Relative frequency of "Likes hockey" = 12/30 = 0.4

Relative frequency of "Doesn't like hockey" = 18/30 = 0.6

Likes baseball: The total count in this column is 12 + 14 = 26.

Relative frequency of "Likes baseball" = 12/26 ≈ 0.4615

Relative frequency of "Doesn't like baseball" = 14/26 ≈ 0.5385

To ensure that the relative frequencies add up to 1, we can set up the following equations:

0.4 + x = 1 (sum of relative frequencies in the "Likes hockey" row)

0.4615 + 0.5385 + x = 1 (sum of relative frequencies in the "Likes baseball" column)

Simplifying the equations, we have:

x = 0.6 (1 - 0.4) = 0.6 * 0.6 = 0.36

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Answer:

Unit Price for Brand A: $0.31 per Pencil.

Unit Price for Brand B: $0.35 per Pencil.

Brand A is the better buy.

Step-by-step explanation:

Divide 7.49 by 24 to get 0.312 and round down to 0.31.

Divide 9.97 by 28 to get 0.356 and round down to 0.35 (0.36 is too much making the price $10.08)

Compare 0.31 and 0.35. (0.31 < 0.35)

Answer:

Therefore, the Panthers had a better overall record for the season, with a total of 212 points earned compared to the Cowboys' total of 173 points.

Step-by-step explanation:

To compare the measures of center, we can calculate the mean and median points earned by each team:

Panthers: Mean = 212/15 = 14.13 points, Median = 14 points

Cowboys: Mean = 173/15 = 11.53 points, Median = 10 points

Based on these calculations, we can see that the Panthers have a larger mean value of about 14.13 points compared to the Cowboys' mean value of about 11.53 points. However, the median value for both teams is less useful for comparison since they are only one point apart. Therefore, we can conclude that the Panthers had the better overall record for the season based on both the total points earned and their larger mean value.

So, the answer is Panthers; they have a larger mean value of about 14.8 points (Option C is incorrect as the mean value of Panthers is approximately 14.13 and not 14.8).