One half of a number increased by 3 is five less than two thirds of the number

the polynomial that represents the volume of the box is is 6x^3 +5x^2 -3x-2

V=lwh

l=x+1

w=2x+1

h=3x-2

V=(x+1)(2x+1)(3x-2)

V=(x*2x+x*1+1*2x+1*1)(3x-2)

V=(2x²+x+2x+1)(3x-2)

V=(2x²+3x+1)(3x-2)

V=2x²*3x+2x²*(-2)+3x*3x+3x*(-2)+1*3x+1*(-2)

V=6x³-4x²+9x²-6x+3x-2

V=6x³+5x²-3x-2

complete question is

Find the volume of the box. Use the formula V = lwh.

Rectangular box with sides x plus 1, 2x plus 1, and 3x minus 2.

6x3 – 2

6x3+ x – 2

6x3 – 13x2 – 3x – 2

6x3 + 5x2 – 3x – 2

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Given :

The price of a sandwich is $5.50 more than the price of a smoothie, which is d dollars

so, the expression :

d + 5.5 represents : The price of of a sandwich

Answer:

2.20

Step-by-step explanation:

The true statements are a-i is the conjugate of a+i and the product of (z-1) and (z+1) is a rational number.Thus, the correct option is (I and III) only.

Here, we need to identify the true statement(s) about the number z=a+i+ a−i​, which is an irrational number. Given, z=a+i+ a−i​ is an irrational number.

Statement I: a is a rational number.This statement is not true. If a was a rational number, then z would be the sum of two complex conjugate numbers, and thus, z would be a real number. But, it is given that z is an irrational number. Therefore, a must be an irrational number.

Statement II: a-i is the conjugate of a+i.This statement is true. The complex conjugate of a complex number a+bi is a-bi. Therefore, the complex conjugate of a complex number a+i is a-i.

Statement III: The product of (z-1) and (z+1) is a rational number. We can expand (z-1) and (z+1) as follows:

z-1 = a+i+a-i-1=2a-1z+1 = a+i+a-i+1=2a+1.

Multiplying both of them, we get:

(z-1) × (z+1) = (2a-1) × (2a+1) = 4a^2-1.

Since a is an irrational number, 4a^2 is also an irrational number. Therefore, 4a^2-1 is a rational number.This statement is true.

Thus, the true statements are: I: a is an irrational number and III: The product of (z-1) and (z+1) is a rational number.Therefore, the correct option is (I and III) only.

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Answer:

13

Step-by-step explanation:

-(-13) = 13

Answer:

13

Step-by-step explanation:

a - times - is a + so there you go I would use photo math if I was you

Answer:

Step-by-step explanation:

I couldn't draw the line through but I'm pretty sure you can eyeball it. I'm sorry if this didn't help.

Answer:

X = 40°

Step-by-step explanation:

90° + 50° = 140°

180°

-140°

=40°

Answer:

BRAINLIEST??

Step-by-step explanation:

X=40°

The volume of the pot is = 731.2 cubic inches.

Each thing in three dimensions takes up some space. The volume of this area is what is being measured.

The space occupied within an object's borders in three dimensions is referred to as its volume.

It is sometimes referred to as the object's capacity.

Finding an object's volume can help us calculate the quantity needed to fill it, such as the volume of water needed to fill a bottle, aquarium, or water tank.

Since the forms of various three-dimensional objects vary, so do their volumes.

According to our answer-

volume of a pot is = πr²h + 2πr³

22/7 * 698/3

731.2 cubic inches

Hence, The volume of the pot is = 731.2 cubic inches.

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Among the options provided, the correct statement regarding multiple regression analysis is: b) Multiple regression analysis establishes a cause and effect relationship.

Multiple regression analysis is a statistical technique used to examine the relationship between a dependent variable and multiple independent variables. It aims to determine the extent to which the independent variables predict or explain the variation in the dependent variable.

However, it is important to note that multiple regression analysis alone cannot establish a cause and effect relationship between variables. While it can identify associations and quantify the strength of relationships, establishing causality typically requires additional evidence from experimental designs or other rigorous methods.

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Answer:

You can get the answer of 1,2,3,4,5 or 6. Each are 1/6 likely to be rolled.

Step-by-step explanation:

The die has 6 sides. If you were to roll the die 6 times you have the chance to roll the side with 1. The chances of rolling a 1 are 1/6.

Answer:

D

Step-by-step explanation:

1 is greater than -1

Hope this helps :)

To find the linear approximation of the function f(x) = e at x = 1, we use the formula for linear approximation: L(x) = f(a) + f'(a)(x - a).

At x = 1, the function is f(x) = e and its derivative is f'(x) = e. Using the linear approximation formula, we have: L(x) = f(1) + f'(1)(x - 1) = e + e(x - 1). So, the linear approximation of f(x) = e at x = 1 is L(x) = e + e(x - 1). The 1st order Maclaurin series approximation of f(x) = e is simply the Taylor series expansion at x = 0: M(x) = f(0) + f'(0)x = 1 + ex. To compute f(1.5) using these approximations, we substitute x = 1.5 into the expressions: L(1.5) = e + e(1.5 - 1) = e + 0.5e = 1.5e. M(1.5) = 1 + e(1.5) = 1 + 1.5e. The error for these approximations can be found by calculating the absolute difference between the actual value of f(1.5) and the approximation: Error for linear approximation = |f(1.5) - L(1.5)|. Error for 1st order Maclaurin series approximation = |f(1.5) - M(1.5)|.

Without knowing the exact value of f(1.5), we cannot determine the specific amount of error for these approximations.

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Answer:

The answer is down below

Step-by-step explanation:

90

Answer:

76

Step-by-step explanation:

Use PEMDAS

Parenthesis first then add

Expressions is equivalent to -m²-7m+21.

Expressions that perform similarly but differ in appearance are said to be equivalent expressions. When the same value for the variable is entered, two algebraic expressions that are equivalent will have the same result.

When reduced to their most basic form, two or more ratios are said to be similar if their values are the same. Equivalent ratios include 1:2, 2:4, and 4:8. In their simplest form, all three ratios have the same value of 1:2.

Since both expressions' values are constant for all values of x, the equivalent expressions 3(x + 2) and 3x + 6 are also identical expressions. 3x + 6 = 3 × 4 + 6 = 18.          

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Based on the calculations, the sum of the areas of the rectangles is equal to: A. 0.25 square unit.

Mathematically, the area of a rectangle can be calculated by using this formula;

A = LW

Where:

By critically observing the figure (see attachment), we can logically deduce the following information:

Width of rectangle A = 2 units

Width of rectangle B = 2 units.

Width of rectangle C = 4 units.

Next, we would determine the length and area of each of the rectangle.

The length of the first rectangle is given by:

Length of rectangle, y = 3^-x

Length of rectangle, y(0) = 3⁻⁰ = 1 units.

Length of rectangle, y = 3^-x

Length of rectangle, y(2) = 3⁻² = 0.11 unit.

Area of first rectangle = 2(0.11)

Area of first rectangle = 0.22 square unit.

For the second rectangle, we have:

Length of second rectangle, y = 3^-x

Length of second rectangle, y(4) = 3⁻⁴ = 0.012 unit.

Area of second rectangle = 2(0.012)

Area of second rectangle = 0.025 square unit.

For the third rectangle, we have:

Length of third rectangle, y = 3^-x

Length of third rectangle, y(8) = 3⁻⁸ = 0.00015 unit.

Area of third rectangle = 4(0.00015)

Area of third rectangle = 0.0006 square unit.

Now, we can calculate the sum of the areas of the rectangles:

Total area = 0.22 square unit + 0.025 square unit + 0.0006 square unit.

Total area = 0.246 ≈ 0.25 square unit.

Total area of rectangle = 0.25 square unit.

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Complete Question:

Figure 3 shows the graph of y = 3^−x and three inscribed rectangles. What is the sum of the areas of the rectangles?

[a] 0.25

[b] 0.50

[c] 2.45

[d] 6.26

[e] 12.68

Sasha should use 2 desired outcomes in her probability calculation to determine that she has a 1/3 chance of winning the game.

To calculate Sasha's probability of winning, we need to determine how many desired outcomes she has. In this game, Sasha needs to spin a number higher than both of her friends' spins, which means she needs to spin a number greater than 1 and 4.

Let's analyze the spinner pictured. From the image, we can see that the spinner has numbers ranging from 1 to 6. Since Sasha needs to spin a number higher than 4, she has two options: 5 or 6.

Now, let's consider the desired outcomes. Sasha has two desired outcomes, which are spinning a 5 or spinning a 6. If she spins either of these numbers, she will have a number higher than both of her friends and win the game.

To calculate Sasha's probability of winning, we need to divide the number of desired outcomes by the total number of possible outcomes. In this case, the total number of possible outcomes is the number of sections on the spinner, which is 6.

Sasha's probability of winning is 2 desired outcomes divided by 6 total outcomes, which simplifies to 1/3.

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.

Answer:

\(x=\) \(\sqrt{5}\) , -\(\sqrt{5}\)

Step-by-step explanation:

Move everything to left side and set it equal to 0

Solve using quadratic formula

When two players A and B alternately flip a fair coin, the probability  E(T) is 4. (A tosses the coin first, then B tosses the coin, then A, then B and so on).

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty.

Two players, A and B, turn a fair coin in succession (A tosses the coin first, then B tosses the coin, then A, then B and so on). The order of the heads and tails is noted. If there is a head followed by a tail, the game is done, and the person who throws the tail wins (HT sub-sequence).

We must ascertain the game's estimated duration. Allow T coin tosses for the game to proceed. Find E (T).

\(E(T) = first instance of HT in seriesE(T) =0.5×(1+2)+0.5×(1+E(T))\\0.5×E(T)=0.5×4\\E(T) =4\)

As a result, when two players A and B alternately flip a fair coin, The E(T) is 4. (A tosses the coin first, then B tosses the coin, then A, then B and so on).

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the surface integral. s (x + y + z) ds, s is the parallelogram with parametric equations x = u + v, y = u − v, z = 1 + 2u + v is 10\(\sqrt{14}\)

The surface element is

dS = || ∂r/∂u  x  ∂r/dv || du dv

where

r (u, v) = x (u, v) i + y (u, v) j + z (u, v) k

r (u, v) = (u + v) i + (u - v) j + (1 + 2u + v) k

is the vector parameterization for the surface S.

The normal vector to the surface is

∂r/∂u  x  ∂r/dv

… = (i + j + 2 k)  x  (i - j + k)

… = 3 i + j - 2 k

and has norm

|| ∂r/∂u  x  ∂r/dv || = √(3² + 1² + (-2)²) = √(14)

Now compute the integral:

∫∫ (x + y + z) dS = √(14) ∫₀¹ ∫₀² ((u + v) + (u - v) + (1 + 2u + v)) du dv

… = √(14) ∫₀¹ ∫₀² (3u + v + 1) du dv

… = √(14) ∫₀¹ (3/2 u² + uv + u) |₀² dv

… = √(14) ∫₀¹ (8 + 2v) dv

… = √(14) (8v + 2v²) |₀¹

… = 10 √(14)

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Answer: a^3 - b^3

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

In 2 months, he got 70 stamps, meaning 35 stamps per month. On the first month, he has 55 stamps by the end of the first month, and since every month he gets 35 stamps, He was given 20 Stamps to start with. It is not D since he saves 35 stamps himself every month, meaning from the beggining of that month, he had 20, and by the end had 55, since the question specifies it shows the amont of stamps at the END of the month.

The the cost of 13 CDs would be $30.

A cost function is a function of input prices and output quantity whose value is the cost of making that output given those input prices, often applied through the use of the cost curve by companies to minimize cost and maximize production efficiency.

If $20 represents the cost of  the 5 used CDs, than your formula would be "20 + 4x" , with x being the amount of extra CDs you purchase.

The number of CDs minus 5 is our x value, because the first 5 are the used CDs bundled into the $20 group. Thus;

26 + 4(13 - 5)

26 + 4(1)

26 + 4 = $30

Thus, we conclude that the cost of 13 CDs would be $30

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The polynomial function of lowest degree is 3x³ - 6x² - 15x + 30. Then the correct option is A.

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

The polynomial function of lowest degree with rational real coefficients, a leading coefficient of 3 and ±√5 and 2.

The roots of the polynomial are ±√5 and 2 with a leading coefficient of 3.

Then f(x) will be given as

f(x) = 3(x + √5)(x - √5)(x - 2)

On simplifying, we have

f(x) = 3(x + √5)(x - √5)(x - 2)

f(x) = 3(x² - 5)(x - 2)

f(x) = 3(x³ -2x² - 5x + 10)

f(x) = 3x³ - 6x² - 15x + 30

The polynomial function of lowest degree is 3x³ - 6x² - 15x + 30. Then the correct option is A.

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Answer:

the answer is A

Step-by-step explanation:

edge 2022

Answer:

1. 11

2. -13

3. -6

Step-by-step explanation:

Hope this helps. Have a great day! (I got this correct on edge :})

Answer:

$1522

Step-by-step explanation:

M = 7 + 3*J

M = 7 + 3*505

M = 7 + 1515

M = 1522

The absolute value of y, and the square root of (xy to the power of z) is \(xy^{z}\)

Floats are a type of number representation that allows us to store very large or very small numbers with a high degree of precision. In computer programming, it is often used to represent real numbers, such as decimals.

In this problem, we are given three float numbers x, y, and z and asked to perform various mathematical operations with them.

Let's start with the first operation: x to the power of z. This means that we want to find x raised to the power of z. This can be written mathematically as xᵃ.

The next operation is x to the power of (y to the power of z). This means that we want to find x raised to the power of y raised to the power of z. This can be written mathematically as x(yᵃ).

The third operation is the absolute value of y. The absolute value of a number is its magnitude, or distance from zero, regardless of its sign. For example, the absolute value of -5 is 5 and the absolute value of 5 is 5. Mathematically, it can be written as |y|.

Finally, we have to find the square root of (xy to the power of a). The square root of a number is the value that, when multiplied by itself, gives the original number.

The square root of 25 is 5 because 5 * 5 = 25. This can be written mathematically as

=> √(xyᵃ).

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