Find the volume of the composite solid. Round your answer to the nearest tenth. The volume is about cubic centimeters

The baseball field takes up 3/8 or 37.5% of Hannah’s school playground. This means that the remaining 62.5% of the playground is taken up by other materials and the grassy area not occupied by the baseball field.

Hannah’s school playground is divided into two parts, with the majority of it being covered in grass. Specifically, 3/5 of the playground is grassy and the remaining 2/5 is taken up by other materials such as pavement or gravel. Of the grassy area, 5/8 is taken up by the baseball field. This means that the baseball field occupies a total of 15/40 or 3/8 of the entire playground.

In terms of proportions, if we consider the entire playground to be 100%, then the amount of the playground taken up by the baseball field is 3/8, or 37.5%. This means that 62.5% of the playground is taken up by the other materials and the remaining grassy area not occupied by the baseball field.In terms of area, the total size of the playground can be determined by multiplying the length of the playground by its width. If we assume that the length and width are equal, then the area of the playground can be calculated as the length squared. The area of the baseball field can then be calculated by multiplying 3/8 by the total area of the playground. This will give us the total area of the baseball field.

Overall, the baseball field takes up 3/8 or 37.5% of Hannah’s school playground. This means that the remaining 62.5% of the playground is taken up by other materials and the grassy area not occupied by the baseball field.

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Answer:

3√10

Step-by-step explanation:

[tex]GM=\sqrt{(3\sqrt{5})(6\sqrt{5})}=\sqrt{18*5}=\sqrt{90}=3\sqrt{10}[/tex]

Answer:   [tex]3\sqrt{10}[/tex]

Work Shown:

Part 1

[tex]g = \text{geometric mean of x and y}\\\\g = \sqrt{\text{x}\text{y}}\\\\g = \sqrt{3\sqrt{5}*6\sqrt{5}}\\\\g = \sqrt{(3*6)*(\sqrt{5}*\sqrt{5})}\\\\g = \sqrt{18\sqrt{5*5}}\\\\g = \sqrt{18\sqrt{5^2}}\\\\g = \sqrt{18*5}\\\\g = \sqrt{90}\\\\[/tex]

Part 2

[tex]g = \sqrt{90}\\\\g = \sqrt{9*10}\\\\g = \sqrt{9}*\sqrt{10}\\\\g = 3\sqrt{10}\\\\[/tex]

For small particles such as atoms and subatomic particles, quantum mechanics produces more accurate results than classical mechanics. As the particle size decreases, the differences between classical and quantum mechanical results become more pronounced.

The particle in an infinite square well potential is treated as a point particle with well-defined position and momentum in classical mechanics. The classical solution to the infinite square well problem involves a particle bouncing back and forth between the well's walls, its energy being provided by the kinetic energy associated with its motion inside the well.

In quantum mechanics, on the other hand, the particle in an infinite square well potential is treated as a wave function that solves the Schrödinger equation. The probability distribution of the particle's position and momentum inside the well is described by the wave function. The allowed energy levels of the particle are quantized and can be calculated using the problem's boundary conditions.

The following formula gives the classical result for a particle's energy in an infinite square well potential:

[tex]n2*h2/(8ma2) = E n[/tex]

where n is an integer, h is Planck's constant, and m is the particle's mass. According to this formula, energy levels are continuous and can take any value.

The quantum mechanical result for a particle's energy in an infinite square well potential, on the other hand, is given by the formula:

[tex]E n = (n2 * pi2 * h2) / (2ma2).[/tex]

n must be a positive integer. According to this formula, energy levels are quantized and can only take on discrete values.

As a result, the classical result for the energy of a particle in an infinite square well potential differs greatly from the quantum mechanical result. The classical result predicts continuous energy levels, whereas the quantum mechanical result predicts quantized energy levels.

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Using the value of principal, annual rate and time, the simple interest is $375

Simple interest is a method of calculating the interest charge on a loan or deposit. It is based on the principle of earning interest only on the initial amount (principal) that was borrowed or deposited.

The formula for simple interest is:

I = P * r * t

where:

I is the interest amount

P is the principal amount

r is the interest rate (expressed as a decimal)

t is the time period (in years)

In the given problem, we can calculate the simple interest by substituting the values into the formula

A = P(1 + rt)

A = 250(1 + 0.05(10))

A = 375

The simple interest is $375

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Answer: [tex]5x^{2} +6x[/tex][tex]-4[/tex]

Step-by-step explanation:

Synthetic division

We need the angle AOD to find the x value

What is the solution to an equation?

In order to make the equation's equality true, the unknown variables must be given values as a solution. In other words, the definition of a solution is a value or set of values (one for each unknown) that, when used as a replacement for the unknowns, transforms the equation into equality.

Missed data: ABCD is a QUADRILATERAL

'O'  is a point in the middle joining OA,OB,OC and OD , find the angle AOD  which is x here

Adding 3 angles we get 11x+22,

Equation is :

11x+22 + AOD = 360

=> AOD = 360 - 22- 11x

     AOD= 338- 11x  

We need the angle AOD to find the x value

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The initial number of points earned when signing up is 30 and earned per pair of shoes purchased is 15.

Let the equation of the line pass through (x₁, y₁) and (x₂, y₂). Then the equation of the line is given as,

[tex]\rm (y - y_2) = \left (\dfrac{y_2 - y_1}{x_2 - x_1} \right ) (x - x_2)[/tex]

Let 'x' be the number of shoes purchased and 'y' be the total points earned.

From the graph, the two points are (2, 60) and (4, 90). Then the equation is given as,

[tex]\rm (y - 60) = \left (\dfrac{90 - 60}{4 - 2} \right) (x - 2)[/tex]

y - 60 = 15(x - 2)

y - 60 = 15x - 30

y = 15x + 30

The initial number of points earned when signing up is 30 and earned per pair of shoes purchased is 15.

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The value of x is 11 and arc RB = 150°.

When two lines or rays intersect at a single point, an angle is created. The vertex is the term for the shared point. An angle measure in geometry is the length of the angle created by two rays or arms meeting at a common vertex.

We know that,

∠RDB = 1/2(RB - EC)

So, substituting the values,

5x - 10 = 1/2(13x + 7 - 60)

10x - 20 = 13x - 53

3x = 33

x = 11

So, arc RB = 13 x 11 + 7 = 150°.

Hence, arc RB = 150°.

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There are 20 different combinations of colors possible in a 6-pack of lacrosse balls.

What is the combination?

A combination is a choice of items from a group of different items where the order of the choices is irrelevant. Either the process of combining or the condition of combining. a combination of several things a mixture of thoughts. something created through fusion: A chord is made up of several notes.

Here, we have

Given: lacrosse balls come in 3 colors: red, yellow, and blue.

We have to find the different combinations of colors that are possible in a 6-pack of lacrosse balls.

We apply here combination formula and we get

= ⁶C₃

= (6×5×4×3!)/(3!×3×2×1)

= 20

Hence, there are 20 different combinations of colors possible in a 6-pack of lacrosse balls.

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The required equation models the cost of renting a moving truck for u-move-it based on the number of hours the truck is rented is C = 49 + 16(t - 1). Option A is correct.

The equation model is defined as the model of the given situation in the form of an equation using variables and constants.

Here,
To determine the equation model for the cost of renting a moving truck for u-move-it based on the number of hours the truck is rented we need to put values on (specific one ordered pair in the given equation) to determine the correct equaiton model,

So, for hours of rented is 1.
For A,

C = 49 + 16(1 - 1) = 49   [satisfy the eqation]

Similarly,
For b
C = 16t = 16   [not satisfied]

For C,
C = 49 + 16t = 65   [not satisfied]

For D,
C = 49 + 16(t + 1) = 81  [not satisfied]

Thus, the required equation models the cost of renting a moving truck for u-move-it based on the number of hours the truck is rented is C = 49 + 16(t - 1) . Option A is correct.

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For the polygon ABCDEFG, the measurement of ∠B is option D: 141°.

What is a polygon?

In a two-dimensional plane, a polygon is a closed object formed of line segments rather than curves. Polygon is a word that combines the words poly (which meaning numerous) and gon (means sides).

The polygon ABCDEFG has angle measurements as -

Measurement of ∠BCD = 148°

Measurement of ∠DEF = 142°

Measurement of ∠EFG = 130°

Measurement of ∠FGA = 129°

Measurement of ∠GAB = 120°

Measurement of ∠CDE = 90°

Let the measurement of ∠ABC be x° .

In a heptagon (or polygon having seven sides) the sum of all angles is 900°.

So, for polygon ABCDEFG the equation will be -

∠BCD + ∠CDE + ∠DEF + ∠EFG + ∠FGA + ∠GAB + ∠ABC = 900°

Substitute the values in the equation -

148° + 90° + 142° + 130° + 129° + 120° + x = 900°

148° + 90° + 142° + 130° + 129° + 120° + x = 900°

759° + x = 900°

x = 900° - 759°

x = 141°

Therefore, the value of x is obtained as 141°.

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It is possible for an angle to have another value whose sine, cosine, or tangent is equal to the given ratio, and this value may be in a different quadrant.

A) To find the value of each inverse trigonometric ratio in degrees, we need to use a calculator or reference table to determine the angle whose sine, cosine, or tangent equals the given ratio.

The inverse sine, cosine, and tangent functions are denoted as [tex]sin^-1, cos^-1, tan^-1[/tex]  respectively.

For example, if we are given sin^-1(1/2), we need to find the angle whose sine is 1/2. Using a calculator or reference table, we can determine that the angle is 30 degrees. Therefore, [tex]sin^-1(1/2) = 30degree[/tex]

Similarly, [tex]cos^-1(1/2) = 60 degrees[/tex]  and  [tex]tan^-1(1) = 45 degrees[/tex] .

B) To find the exact value of each inverse trigonometric ratio in radians, we need to convert the degree value to radians by multiplying by π/180. For example, if [tex]sin^-1(1/2) = 30 degrees[/tex] , we can convert to radians as follows:

[tex]sin^-1(1/2) = 30 degrees = (30\pi/180) radians = (\pi/6) radians[/tex]

Therefore,[tex]sin^-1(1/2) = \pi/6 radians[/tex]

Similarly, [tex]cos^-1(1/2) = 60 degrees = (60\pi/180) radians = (\pi/3) radians[/tex]

and [tex]tan^-1(1) = 45 degrees = (45\pi/180) radians = (\pi/4) radians.[/tex]

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If Jim missed 6 out of 16 free throws, then he made 10/16 free throws. At the same time Gracia made 4/15 free rows. The common denominator of those fractions (if we simplify 10/16 to 5/8) is 120, so:

Garcia made 4/15 = 32/120 free throws

Jim made 5/8 = 75/120 free throws

We can clearly see that Jim was more than two times better than Garcia

Answer:

175m²

Step-by-step explanation:

Total area (of pool):

50 × 21 = 1050

Area of each lane:

1050 ÷ 6 = 175

Answer:

40%/100×20=8

the answer is $8

Answer:

Step-by-step explanation:

To determine how long it will take for Louise to reach her goal of $30,000, we can use the formula for compound interest:

A = P * (1 + r/n)^(nt)

where:

A is the amount of money Louise will have after "t" years,

P is the initial investment of $20,000,

r is the annual interest rate of 4.28%,

n is the number of times the interest is compounded per year (12 times per year), and

t is the number of years.

We can rearrange this formula to solve for t:

t = (log(A/P)) / (log(1 + r/n))

Plugging in the values:

t = (log(30000/20000)) / (log(1 + (0.0428/12)))

t = 5.97 years

Rounding to the nearest tenth of a year, Louise will need to wait 6.0 years in order to reach her goal of $30,000.

Answer: -1/3

Step-by-step explanation:

Slope = Rise/Run

There is only one pair of solution to the given system.

Given is the system of equations as graphed.

Therefore, there is only one pair of solution to the given system which is (1, 4).

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The rationalized form of the surd is;

1) 25/13

2) 144/3

3) 36

We have to note that the term surd would have to refer to an irrational number as we know it.

1) The conjugate of the surd is;

5/4 + √3

Rationalizing we have;

5/4 -  √3 * 5/4 + √3

25/16 + 4√3 - 4√3 -3

25/13

2) The conjugate is √7 - 2

Rationalizing we have;

12/√7 + 2  * 12/√7 - 2

144/7 -2√7 + 2√7 -4

144/3

3) The conjugate of the surd is √2 + √3

Rationalizing we have;

6/ √2 -  √3  * 6/ √2 + √3

36/4 +√6 - √6 - 3

36/1 = 36

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If the adult men have a height with mean as 69 inches , standard deviation as 2.8 inches , then the z-score for 63.4 inches tall man is     .

To find the z-score of a man 63.4 inches tall, we  use the formula: z = (x - μ)/σ  ;

where x is = the individual height, μ is = the mean height, and σ is = the standard deviation.

Substituting the values, we get  ;

⇒ z = (63.4 - 69.0)/2.8  ;

Simplifying, we get:

⇒ z = -5.6/2.8 = -2  .

⇒ z = -2  .

Therefore, the z-score of a man 63.4 inches tall is -2 which means that the man's height is 2 standard deviations below the mean height of adult men.

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Answer:no

Step-by-step explanation:

If discount offered is 25% then the discount on the bike is $112.50 by multiply the rate by the original price.

What is discount price?

Discount pricing is a type of promotional pricing strategy where the original price for a product or service is reduced with the aim of increasing traffic, moving inventory, and driving sales.

According to the question:

Ken bought a bike that was priced at $450

Discount percentage offered to him is 25%

To find the discount price, first the rate is usually given as a percent.

To find the discount, multiply the rate by the original price.

Discount = [tex]450 \times \frac{25}{100}[/tex]

Therefore the discount on the bike is $112.50

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The value of the trigonometric relation cos ∠O = 0.849

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the triangle be represented as ΔPQR

Now , the measure of ∠PQR = 90° and it is a right triangle

The measure of the hypotenuse PO = 53

The measure of adjacent side OQ = 45

The measure of opposite side QP = 28

Now , from the trigonometric relations ,

cos θ = adjacent / hypotenuse

cos θ = OQ / PO

Substituting the values in the equation , we get

cos θ = 45 / 53

cos θ = 0.849

Therefore , the value of cos ∠O is 0.849

Hence , the trigonometric relation cos θ = 0.849

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Answer: X=2

Step-by-step explanation:

X times 2

1 x 2 = 2

3 x 2 = 6

6 x 2 =12

9 x 2 = 18

Answer: $14.20

Step-by-step explanation:

the 42.60 has to be given to three people equally, (two makers and yourself).

42.60/3 = $14.20/person

Answer: $14.20

Step-by-step explanation:

Since you share with 2 other people, there are 3 people (including yourself) that are entitled to the tip.

∴ $42.60/3= $14.20 each.

You get $14.20

Hope this helps :)

The null hypothesis statement is that the population is equal to the value mentioned in the claim:

[tex]H_{0} =P=75%=0.75[/tex]=[tex]\frac{75}{100}[/tex]=[tex]0.75[/tex].

[tex]H_{0} =P < 0.75[/tex]

The claim can be supported by either the null hypothesis or the alternative hypothesis. The null hypothesis states that the population proportion is the same as the value specified in the claim. If the null hypothesis is the assertion, then the alternative hypothesis statement is the antithesis of the null hypothesis.

[tex]H_0} =P < 0.75[/tex]

A hypothesis is a well-informed, logically-supported guess about the answer to a scientific question. Although it is the experiment's anticipated outcome, it does not constitute experimental proof. The information obtained may or may not be supported, depending on the information received. Simple hypotheses simply state the relationship between two independent and dependent variables. Examples: If you stay up late, you will feel fatigued the next day.

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Answer:

Step-by-step explanation:

The exchange rate between the South African Rand (ZAR) and the Kenyan Shilling (KES) fluctuates daily. As of my training data cut off in 2021, the exchange rate was approximately 1 ZAR = 10.87 KES.

So, 30 South African Rand would be equivalent to approximately 329.10 Kenyan Shillings. However, it is important to note that exchange rates can change over time, so it is always a good idea to check a reliable source for the most up-to-date conversion rate before making any currency exchanges.

The equation for the perimeter will be (4/5)d + 18d = 282. The value of d is 15.

The perimeter of any two-dimensional figure is defined as the sum of all the sides of the figure. For a trapezoid, the perimeter will be the sum of all the sides of the trapezoid.

Given that the four sides of the figure are,

12d + 4

4/5d -9

2d

4d - 6

The perimeter of the figure is 271. The equation can be written as:-

(4/5)d - 9 +12d + 4 + 4d - 6 + 2d = 271

(4/5)d + 12 d + 4d + 2d -15 + 4 = 271

(4/5)d + 18d = 282

94d = 282 x 5

d = 15

Therefore, the perimeter will be calculated as (4/5)d + (18d) = 282. D has a value of 15.

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n = the numerator of the fraction

[tex]\cfrac{p}{p-2}~~ = ~~\cfrac{n}{4-p^2}\implies \cfrac{p(4-p^2)}{p-2}~~ = ~~n\implies \cfrac{p(-1)(p^2-4)}{p-2}=n \\\\\\ \stackrel{ \textit{difference of squares} }{\cfrac{p(-1)(p^2-2^2)}{p-2}}=n\implies \cfrac{-p(p-2)(p+2)}{p-2}=n \\\\\\ \boxed{-p(p+2)=n}\hspace{5em}\cfrac{-p(p+2)}{4-p^2}[/tex]