What is the volume of this figure?

Answer:

64.9 per shares

Step-by-step explanation:

120/1.85 = 64.8648648649 = 64.9

Without the probability distribution, it is not possible to calculate the standard deviation accurately. Thus, none of the provided options can be considered correct without additional information.

To calculate the standard deviation of the returns, we need the probability distribution of the holding-period returns and their corresponding values. Since the probability distribution is not provided in your question, it is not possible to determine the standard deviation.

To calculate the standard deviation, you would typically need the individual returns and their corresponding probabilities. With that information, you can use the formula for calculating the weighted standard deviation:

σ = √[∑(Ri - E(R))^2 * P(Ri)],

where Ri represents the individual returns, E(R) is the expected return, and P(Ri) is the probability of each return.

Without the probability distribution, it is not possible to calculate the standard deviation accurately. Thus, none of the provided options can be considered correct without additional information.

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Answer:

x+y

Step-by-step explanation:

Let's pretend the value of the crayon's is 'y'. The value of the markers is 'x'. If we add them together, we get x+y. This is because we do not know the value of each variable.

Hope this helps! Have a nice day <3

By geometric formulas, the gray square has an area of 25 square units.

Squares are quadrilaterals with four right angles. In this question we find a geometric system formed by seven squares with distinct dimensions. By geometry, the area of a square (A), in square units, is equal to following formula:

A = l²

Where l is the length of the side of a square, in units.

All the required lengths are represented in the image attached below. First, determine the side length of the gray square:

7 + x = 12

x = 12 - 7

x = 5

The gray square has four sides with a length of 5 units.

Second, determine the area of the gray square by means of square formula:

A = x²

A = 5²

A = 25

According to area formula for squares, the area of the gray square is equal to 25 square units.

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Answer:

18/48 = 30/50 is false

Step-by-step explanation:

20/50 and 40/100 both equal 0.4

12/15 and 20/25 both equal 0.8

etc.

Question: Is -451 in the sequence bellow?

15, 7, -1, -9, -17, ...

-451 not in the sequence

This question involves the concepts of arithmetic progression.

Which consists of adding the previous term to a certain ratio (r), which will be found the next term.

Data to calculate

r = 7-15=-8

an = -451

a1= 15

n=?

\(\begin{array}{l}\sf a_{n} = a_{1} + ( n-1 )r\\\sf -451 = 15 + ( n-1 )\times(-8)\\\sf -451=15-8x+8\\\sf -451 = 23-8n\\\sf 8n=23+451\\\sf 8n=474\\\sf n=\dfrac{474}{8}\\\sf n=59{,}25\end{array}\)

The result is not an integer, so -451 is not part of the sequence

Answer:

x+3<9x<6

Step-by-step explanation:

beacase 9-3 is 6

The addition inequality 37 + x ≥ 42 can be used to determine how much taller William must be to ride the coaster, where x represents the additional height he needs to meet the height requirement.

To write an addition inequality to determine how much taller William must be to ride the coaster, we first need to convert his height to inches. Since he is 3 feet 1 inch tall, his height is (3 x 12) + 1 = 37 inches.

Let x be the amount of additional height William needs to ride the roller coaster. The inequality can be written as:

37 + x ≥ 42

This inequality ensures that William's total height after adding x must be greater than or equal to the required height of 42 inches to ride the roller coaster.

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The missing information in the square is option(b) x = 4y = 4 √(2) and y = 4.

Given square PQRS, the task is to determine the missing information. A square is a quadrilateral with four equal sides and four equal angles.

The coordinates of the vertices of a square are (x,y), (x+4,y), (x+4,y+4) and (x,y+4).

The missing information, x and y, can be found by solving the equations that represent the sides of the square. We can start by solving for x.

The equation for the side PQ is x + 4y = 2 √(2). Solving this equation for x gives x = 4y - 8 √(2).

Similarly, the equation for the side RS is x + 4y = 4 √(2). Solving this equation for x gives x = 4y = 4 √(2).

Therefore, the missing information is x = 4y = 4 √(2) and y = 4.  

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Considering the properties of congruent triangles, we can conclude that:

From the question, we are to determine what can be concluded given that ΔQGL and ΔBRN are congruent.

From the properties of congruent triangles,

The corresponding sides congruent triangles are equal

The corresponding angles congruent triangles are equal

In addition,

Congruent triangles have the same shape and size. Therefore, the area of the triangles will be equal

In ΔQGL and ΔBRN,

The corresponding sides are:

QG and  BR

LG and NR

QL and BN

The corresponding angles are:

∠LGQ and ∠NRB

∠QLG and ∠BNR

∠LQG and ∠NBR

Thus, we can infer that:

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Since, LHS = RHS = 0, They are the roots of equation.

Answer:

Proof below.

Step-by-step explanation:

Quadratic Formula

\(x=\dfrac{-b \pm \sqrt{b^2-4ac} }{2a}\quad\textsf{when }\:ax^2+bx+c=0\)

Given quadratic equation:

\(5x^2-6x-2=0\)

Define the variables:

Substitute the defined variables into the quadratic formula and solve for x:

\(\implies x=\dfrac{-(-6) \pm \sqrt{(-6)^2-4(5)(-2)}}{2(5)}\)

\(\implies x=\dfrac{6 \pm \sqrt{36+40}}{10}\)

\(\implies x=\dfrac{6 \pm \sqrt{76}}{10}\)

\(\implies x=\dfrac{6 \pm \sqrt{4 \cdot 19}}{10}\)

\(\implies x=\dfrac{6 \pm \sqrt{4}\sqrt{19}}{10}\)

\(\implies x=\dfrac{6 \pm2\sqrt{19}}{10}\)

\(\implies x=\dfrac{3 \pm \sqrt{19}}{5}\)

Therefore, the exact solutions to the given quadratic equation are:

\(x=\dfrac{3 + \sqrt{19}}{5} \:\textsf{ and }\:x=\dfrac{3 - \sqrt{19}}{5}\)

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If chuck earns additional 40,000 of taxable income, 23.52% the marginal tax rate on this income

Chuck, a single taxpayer, earns $76,000 in taxable income and $1 in interest from an investment in city of heflin bonds.

Tax on $76,000

4,617.5 + (76,000 - 40,125) * 22% = 12,510.0

Taxable income 76,000 + 40,000 = 116,000

Tax on $116,000  

14,605.5 + (116,000 - 85,525) * 24% = 21,919.5

Marginal tax rate

(21,919.5 - 12,510) / 40,000 = 23.52%

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Answer:

total volume = (1150/3)pi cm^3

approximate total volume = 1204 cm^3

Step-by-step explanation:

The compound solid looks like it's made up of a cylinder with a base with 10 cm diameter and height of 12 cm and a half sphere with radius 10 cm.

volume of cylinder: (pi)(r^2)h

volume of sphere: (4/3)(pi)r^3

total volume = (pi)(r^2)h + (1/2)(4/3)(pi)r^3

We are given a diameter of 10 cm, so the radius is 5 cm since r = d/2.

total volume = (pi)[(5 cm)^2](12 cm) + (2/3)(pi)(5 cm)^3

total volume = 300pi cm^3 + (250/3)pi cm^3

exact total volume = (1150/3)pi cm^3

approximate total volume = 1204 cm^3

The  volume of the largest right circular cone that can be inscribed in a sphere of radius r is  8/27 (volume of sphere)

Let r serve as the foundation. the volume of the area, and radius x is the separation between the base and the sphere's center. Height h of the cone = R + x

∴    V= 1/3πr² h= π/ 3 (R² −x²)(R + x)

       = π/3​ (R² + R² x − Rx² −x² )

∴   dV/ dx​ = π​ /3 [R²−2Rx−3x² ]

  d²V/ dx²​ = π/3​ [−2R−6x]

For max or min V dV/dx​ =0

∴   R² −2Rx−3x² =0

⇒(R + x)(x−3x)=0    

2) x=−R, x​/3 but x = −R

When x= R/3 d² V/dx² <0  V is max only when x= R/3

​∴   Max V= 1/3π(R² − R²/9 )(R+ R/3 )

= 32πR³/81

= 8/27 ( 4/3 πR³)

= 8/27 (volume of sphere)

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\(\quad \huge \quad \quad \boxed{ \tt \:Answer }\)

\(\qquad \tt \rightarrow \:x = 2i \)

____________________________________

\( \large \tt Solution \: : \)

\(\qquad\displaystyle \tt \rightarrow \: 3 {x}^{2} + 12 = 0\)

\(\qquad\displaystyle \tt \rightarrow \: 3{x}^{2} = - 12\)

\(\qquad\displaystyle \tt \rightarrow \: {x}^{2} = - \frac{12}{3} \)

\(\qquad\displaystyle \tt \rightarrow \: x {}^{2} = - 4 \)

\(\qquad\displaystyle \tt \rightarrow \: x = \sqrt{ - 4} \)

\(\qquad\displaystyle \tt \rightarrow \: x = \sqrt{ (- 1)(4)} \)

\(\qquad\displaystyle \tt \rightarrow \: x = \sqrt{ - 1} \sdot \sqrt{4} \)

\(\qquad\displaystyle \tt \rightarrow \: x = i \sdot2\)

\(\qquad\displaystyle \tt \rightarrow \: x = 2i\)

[ i represents iota, i² = -1, (complex number) ]

Answered by : ❝ AǫᴜᴀWɪᴢ ❞

Answer:

\(x=2i\)

Step-by-step explanation:

Given equation:

\(3x^2+12=0\)

Factor 3 from the left side of the equation:

\(\implies 3(x^2+4)=0\)

Divide both sides of the equation by 3:

\(\implies\dfrac{3(x^2+4)}{3}=\dfrac{0}{3}\)

\(\implies x^2+4=0\)

Subtract 4 from both sides:

\(\implies x^2+4-4=0-4\)

\(\implies x^2=-4\)

Square root both sides:

\(\implies \sqrt{x^2}=\sqrt{-4}\)

\(\implies x^2=\sqrt{-4}\)

Rewrite -4 as 2² · -1:

\(\implies x=\sqrt{2^2 \cdot-1}\)

\(\textsf{Apply radical rule} \quad \sqrt{ab}=\sqrt{a}\sqrt{b}:\)

\(\implies x=\sqrt{2^2}\sqrt{-1}\)

\(\textsf{Apply radical rule} \quad \sqrt{a^2}=a, \quad a \geq 0:\)

\(\implies x=2\sqrt{-1}\)

\(\textsf{Since $\sqrt{-1}=i$}\)

\(\implies x=2i\)

Imaginary numbers

Since there is no real number that squares to produce -1, the number \(\sqrt{-1}\) is called an imaginary number, and is represented using the letter i.

An imaginary number is written in the form \(bi\), where \(b \in \mathbb{R}\).

Answer:

8,9,11

Step-by-step explanation:

A-1

B-2

C-3

D-4

E-5

F-6

G-7

H-8

I-9

J-10

K-11

L-12

M-13

N-14

O-15

Nadia has constructed a pentagonal prism

We know that, a pentagonal prism has two pentagonal bases like top and bottom and five rectangular sides.

If we consider the bottom view of  pentagonal prism then it would be pentagon in shape.

If we consider the side view of  pentagonal prism then it would be rectangular in shape.

If we consider the front view of  pentagonal prism then it would be rectangle.

Therefore, Nadia has constructed a pentagonal prism

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The percentage change in frequency is 0%.Hence, the natural frequency of torsional vibration of the custen is given by f = 25.7 / L₀^(1/2) and the percentage change in frequency is 0%.

We are given that:

Total moment of inertia of moving parts = I = 1 kgm²

Moment of inertia of air-screw = I = 18 kgm²

Outer diameter of hollow shaft = D₀ = 80 mm

Inner diameter of hollow shaft = Dᵢ = 35 mm

Length of hollow shaft = L = 0.30 m

Stiffness of the crank-throw = K = 2.5 × 10⁴ Nm/rad

Shear modulus of elasticity = G = 83000 N/mm²

We need to calculate the natural frequency of torsional vibration of the custen.

The formula for natural frequency of torsional vibration is: f = (1/2π) [(K/L) (J/GD)]^(1/2)

Where, J = Polar moment of inertia

J = (π/32) (D₀⁴ - Dᵢ⁴)

The formula for equivalent length of hollow shaft is given by:

q₁ = q₁₁ + q₁₂

Where, q₁₁ = (π/32) (D₀⁴ - Dᵢ⁴) / L₁q₁₂ = (π/64) (D₀⁴ - Dᵢ⁴) / L₂

L₁ = length of outer diameter

L₂ = length of inner diameter

For the given shaft, L₁ + L₂ = L

Let L₁ = L₀D₀ = D = 80 mm

Dᵢ = d = 35 mm

So, L₂ = L - L₁= 0.3 - L₀...(1)

For the given crank-throw, q₁ = (π/32) (D⁴ - d⁴) / L, where D = 80 mm and d = 80 mm

Hence, q₁ = (π/32) (80⁴ - 35⁴) / L

Therefore, q₁ = (π/32) (80⁴ - 35⁴) / L₀...(2)

From the formula for natural frequency of torsional vibration, f = (1/2π) [(K/L) (J/GD)]^(1/2)

Substituting the values of K, J, G, D and L from above, f = (1/2π) [(2.5 × 10⁴ Nm/rad) / (L₀) ((π/32) (80⁴ - 35⁴) / (83000 N/mm² (80 mm)³))]^(1/2)f = (1/2π) [(2.5 × 10⁴ Nm/rad) / (L₀) (18.12)]^(1/2)f = 25.7 / L₀^(1/2)...(3)

Now, if we assume that the air-screw mass is infinite, then the moment of inertia of the air-screw is infinite.

Therefore, the formula for natural frequency of torsional vibration in this case is:

f = (1/2π) [(K/L) (J/GD)]^(1/2)Substituting I = ∞ in the above formula, we get:

f = (1/2π) [(K/L) (J/GD + J/∞)]^(1/2)f = (1/2π) [(K/L) (J/GD)]^(1/2)f = 25.7 / L₀^(1/2)

So, in this case also the frequency is the same.

Therefore, the percentage change in frequency is 0%.Hence, the natural frequency of torsional vibration of the custen is given by f = 25.7 / L₀^(1/2) and the percentage change in frequency is 0%.

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Answer:

423

Step-by-step explanation:

240+21+162

Answer:

It is 423 (✿◠‿◠)

Step-by-step explanation:

maybe this is not the full expression, as you wrote the line equation in a funny way.

I understand the following :

the line is

y = (-2/5)×x - 7

perpendicular means crossing at a right angle (90 degrees).

the slope of the original line is -2/5.

as in every line equation, the slope is the factor of x. and it expresses the ratio y/x indicating the amount of units y is changing, when x changes a certain amount of units (e.g. when going from one point on the line to another).

the perpendicular slope turns the original y/x ratio upside-down, and also flips the sign.

so, it is 5/2.

the equation for the perpendicular line looks like

y = (5/2)×x + b

now what is b ?

for this we use the specified point on the line : (4, -1)

and we put these values as x and y into the equation :

-1 = (5/2)×4 + b = 5×2 + b = 10 + b

b = -11

and so, the full equation of the perpendicular line is

y = (5/2)×x - 11

The value of the num will be 18 after the expression is evaluated.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that int x = 4; int y = 9 / 2; int num = 6; num *= x y; the value of num after the evaluation of the expression will be:-

num = x y

num = [ ( 4 x ( 9 / 2 ) ]

num = 9 x 2

num = 18

Therefore, the value of the num will be 18 after the expression is evaluated.

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Answer:  c 8 hours

Step-by-step explanation:

hope it help

Answer:

8 hours

Step-by-step explanation:

pls correct me if im wrong..

Answer:

233.2

Step-by-step explanation:

The value of the product expression (x + 1)(x - 3) is x² - 2x - 3

From the complete question, the product expression is given as:

(x + 1)(x - 3)

Expand

x(x - 3) + 1(x - 3)

Further, expand

x² - 3x + x - 3

Evaluate the like terms

x² - 2x - 3

Hence, the value of the product expression (x + 1)(x - 3) is x² - 2x - 3

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Answer: A) Yes, mold A is an exponential function that decreases faster than mold B, which is eventually an increasing quadratic function.

Step-by-step explanation:

To determine whether the number of spores in mold B will ever be larger than in mold A, we need to compare the growth patterns of the two functions. The function f(x) = 100(0.75)^(x-1) represents mold A, and it is an exponential function. Exponential functions decrease as the exponent increases. In this case, the base of the exponential function is 0.75, which is less than 1. Therefore, mold A is a decreasing exponential function. The function g(x) = 100(x-1)^2 represents mold B, and it is a quadratic function. Quadratic functions can have either a positive or negative leading coefficient. In this case, the coefficient is positive, and the function represents a parabola that opens upwards. Therefore, mold B is an increasing quadratic function. Since mold B is an increasing function and mold A is a decreasing function, there will be a point where the number of spores in mold B surpasses the number of spores in mold A. Thus, the correct answer is:

A) Yes, mold A is an exponential function that decreases faster than mold B, which is eventually an increasing quadratic function.

The calculated value of x in the circle is 59

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

The circle

The measure of angle at the center of the circle is calculated as

Center = 2 * 31

So, we have

Center = 62

The sum of angles in a triangle is 180

So, we have

x + x + 62 = 180

This gives

2x = 118

Divide by 2

x = 59

Hence, the value of x is 59

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B,C,D

Step-by-step explanation:

Answer:

eda periodt

Step-by-step explanation:

To meet your requirements for a 7-day supply, you should combine 11 servings of Designer Whey and 2 servings of Muscle Milk.

Let x be the number of Designer Whey servings and y be the number of Muscle Milk servings.
Use the protein requirements to set up an equation:
18x + 32y = 262 (Designer Whey has 18g of protein per serving, and Muscle Milk has 32g per serving)
Use the carbohydrate requirements to set up a second equation:
2x + 16y = 54 (Designer Whey has 2g of carbohydrates per serving, and Muscle Milk has 16g per serving)
Now you have a system of two linear equations:
18x + 32y = 262
2x + 16y = 54
To solve this system, first simplify the second equation by dividing by 2:
x + 8y = 27
Rearrange the simplified equation to isolate x:
x = 27 - 8y
Substitute the expression for x from step 4 into the first equation:
18(27 - 8y) + 32y = 262
Distribute the 18 and simplify the equation:
486 - 144y + 32y = 262
Combine like terms and solve for y:
-112y = -224
y = 2
Substitute the value of y back into the expression for x from step 4:
x = 27 - 8(2)
x = 27 - 16
x = 11

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The equation y = -2x +12 in slope - intercept form.

Find the slope of the line that is parallel to y = -2x +3

Slope (m) = -2

Substitute and calculate ;

m = -2, x = 8 ,y = -4 into y = mx + b

-4 = -2 x 8 + b

Calculate the product :

-4 = -16 + b

Calculate the sum or difference:

-b = -12

b = 12

Again, Substitute m = -2 , b = 12 into y = mx +b :

y = -2x + 12

Rewrite the equation y = -2x + 12 in slope - intercept form:

y = -2x + 12

Hence, The equation y = -2x +12 in slope - intercept form.

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