how many cubes with side length of 1/3cm does it take to fill the prism l=2 w=4/3 h=2

The expression that matches the represent the number of pushups done by Jacob after x sets is -3x + 30

An equation is an expression that shows the relationship between two or more numbers and variables.

Independent variables represent function inputs that do not depend on other values, while dependent variables represent function outputs that depends on other values.

Let y represent the number of pushups done by Jacob after x sets. he does 3 fewer push-ups in each set after the first, hence:

y = -3x + 30

The expression that matches the represent the number of pushups done by Jacob after x sets is -3x + 30

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Answer:

63cm³

Step-by-step explanation:

The shape above is a rectangular prism

The formula for a rectangular prism is given as:

= Length × Width × Height

Length = 3cm

Width = 3cm

Height = 7cm

= 3cm × 3cm × 7cm

= 63 cm³

The volume of the rectangular prism = 63cm³

Answer:

49

Step-by-step explanation:

(2^2 + 3)^2

(4 + 3)^2

(7)^2

49

Yk cause of bidams you gotta do 2 to the power of 2 first, and then get 4 + 3. Then you add them, you get 7. Cube it and get 49. Ez ;>

*winks and runs off*

The function θ : p(z) → p(z) defined as θ(x) = x is injective and surjective, therefore bijective.

The function θ(x) = x takes an element x from the set p(z) and returns the same element x. This means that for any input x in p(z), the function simply returns x as the output.

To determine whether θ is injective, we need to check if distinct inputs produce distinct outputs. In this case, since the function θ simply returns the input element x, it is evident that if two different elements are provided as input, they will always produce different outputs. Thus, θ is injective.

To assess the surjectivity of θ, we need to determine if every element in the codomain p(z) has a corresponding preimage in the domain p(z). In this scenario, since the function θ returns the same element x that is provided as input, it covers all elements in p(z). Therefore, for any given element in the codomain, there exists a preimage in the domain. Hence, θ is surjective.

Since the function θ is both injective and surjective, it is bijective. This means that for every input element x, there is a unique output element x, and every element in the codomain p(z) has a corresponding preimage in the domain p(z).

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Answer:

y = 1/4x + 17/4

Step-by-step explanation:

first lets umm find the slope

use points that you can um clearly see ?

(4, 6) and (8, 7)

so use the equation y2 - y1/ x2 - x1

soooo

7 - 6/ 8 - 4

1 / 4

so it looks like:

y = 1/4x + b

so far

now we have to find the y-intercept with a point we did not use yet

but i have a little trouble so ill try my best to estimate a point

(2, 5)

we substitue

5 = 1/4(3) + b

5 = 3/4 + b

b = 5 - 3/4

b = 17/4

i want to check but its hard looking for exact points. i think this is the answer hope this helps!

Answer:

-400i

General Formulas and Concepts:

Algebra II

Step-by-step explanation:

Step 1: Define

z = -400i - 44.5

Step 2: Identify

Treat imaginary i as a variable. The imaginary part of z would be the entire term of i. Therefore, our answer is -400i

Answer:

ABGE is a parallelogram because it has congruent sides

Step-by-step explanation:

:-)

Answer:

I know for sure, x=110 and the interior of a triangle is 180 degrees added up, so it is definately less than 180 degrees for the 2 angles added up, I am not sure what y is I haven't done geometry for almost 2 years now sorry.

We are given that LaTeX: A\:=\:\log_72

A = log 7 ⁡ 2 and LaTeX:

B\:=\:\log_73

B = log 7 ⁡ 3 and LaTeX:

C\:=\:\log_75

C = log 7 ⁡ 5 and need to use the properties of logarithms to write LaTeX:

\log_735  in terms of A and B and C. Let us use the following properties of logarithms which are frequently used for simplification of logarithmic expressions: Product rule:

LaTeX: \log_{b}(mn)=\log_{b}m+\log_{b}n

Quotient rule: LaTeX: \log_{b}\left(\frac{m}{n}\right)=\log_{b}m-\log_{b}n.

Power rule: LaTeX: \log_{b}(m^n)=n\log_{b}(m) Applying these properties, we have,

LaTeX: \begin{aligned}

\log_7 35 &= \log_7 (5\cdot 7) \\ &

= \log_7 5 + \log_7 7 \\ &

= C + 1 \end{aligned}Therefore,

LaTeX: \log_735=C+1.

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Answer:

$8225

Step-by-step explanation:

329 (amount for each ipad mini) x 25 (amount of ipad minis Missbailey is going to buy) = 8225.

Answer:

-7*x>42

Step-by-step explanation:

-7 times any negative number greater than 6 is equal to more than 42

The kind of study that was conducted on the subjects who were given suplement and Placebo is termed as Experimental Study .

The active gathering of data from a primary source is observation. Observation of living things makes use of the senses. In science, observation can also entail the perception of information and the recording of that information using tools.

Because of ethical considerations or practical limitations, an observational study infers information from a sample to the population even when the researcher has no control over the independent variable.

An experiment is a technique used to confirm or deny a hypothesis, as well as assess the possibility or effectiveness of something that has never been done before. Experiments show what happens when a certain component is modified, which sheds light on cause-and-effect relationships.

The kind of study that was conducted on the subjects who were given suplement and Placebo is termed as Experimental Study .

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To determine the convergence or divergence of an alternating series, you can use the Alternating Series Test. This test states that if the terms of an alternating series decrease in absolute value and approach zero, then the series converges.

Additionally, if the terms do not approach zero, the series diverges.

To apply the Alternating Series Test, you need to check two conditions:

1. The terms of the series must alternate in sign.

2. The absolute value of the terms must decrease or approach zero.

If both conditions are satisfied, you can conclude that the alternating series converges. However, if either condition fails, the series diverges.

If you want to determine the convergence or divergence more precisely, you can use the Integral Test or the Comparison Test. The Integral Test allows you to compare the convergence or divergence of a series to the convergence or divergence of an improper integral. If the integral converges, the series converges, and if the integral diverges, the series diverges.

The Comparison Test is another method to determine the convergence or divergence of a series. It involves comparing the given series with a known series whose convergence or divergence is already known. If the known series converges and the terms of the given series are less than or equal to the corresponding terms of the known series, then the given series also converges. Conversely, if the known series diverges and the terms of the given series are greater than or equal to the corresponding terms of the known series, then the given series also diverges.

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To solve the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0, we can use algebraic methods and the unit circle to determine the values of x that satisfy the equation.

1. Start by rearranging the equation to a quadratic form: \(6sin^2(x)\) + 6sin(x) + 1 = 0.

2. Notice that the equation resembles a quadratic equation in terms of sin(x). Let's substitute sin(x) with a variable, such as u: \(6u^2\) + 6u + 1 = 0.

3. Solve this quadratic equation for u. You can use the quadratic formula or factorization methods to find the values of u. The solutions are u = (-3 ± √3) / 6.

4. Since sin(x) = u, substitute back the values of u into sin(x) to obtain the values for sin(x): sin(x) = (-3 ± √3) / 6.

5. To find the values of x, we can use the inverse sine function. Take the inverse sine of both sides: x = arcsin[(-3 ± √3) / 6].

6. The arcsin function has a range of [-π/2, π/2], so the values of x lie within that range. Use a calculator to find the approximate values of x based on the values obtained in step 5.

7. Plot the obtained x-values on the graph to show the solutions of the equation \(6sin^2(x)\) + 6sin(x) + 1 = 0. The graph will illustrate the points where the curve intersects the x-axis.

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Answer:

B 36

Step-by-step explanation:

36 = 6×6 = 6^2

6^2 is a perfect square

The vectors that join the center of a clock to the hours :

At 1:00: (cos(π/6), sin(π/6)) = (√3/2, 1/2)

At 2:00: (cos(π/3), sin(π/3)) = (1/2, √3/2)

At 3:00: (cos(π/2), sin(π/2)) = (0, 1)

What is Vector?

A vector is a object that has both magnitude (size) and direction. In other words, a vector is a quantity that can be represented by an arrow or line segment, where the length of the arrow corresponds to the magnitude of the vector.

To find the vectors that join the center of a clock with radius 1 unit to the hours 1:00, 2:00, and 3:00, we can use basic trigonometry.

First, we can find the angle (in radians) between the 12:00 position and each of the desired hour positions. Since there are 12 hours on a clock and the circle has a circumference of 2πr = 2π(1) = 2π, the angle between each hour mark is:

2π/12 = π/6 radians

Therefore, the angles between the center of the clock and the hour marks are:

At 1:00, the angle is π/6 radians clockwise from the 12:00 position.

At 2:00, the angle is 2π/6 = π/3 radians clockwise from the 12:00 position.

At 3:00, the angle is 3π/6 = π/2 radians clockwise from the 12:00 position.

Next, we can use the cosine and sine functions to find the x and y components of each vector. The x-component of each vector is given by the radius times the cosine of the angle, and the y-component is given by the radius times the sine of the angle.

Therefore, the vectors that join the center of the clock to the hours 1:00, 2:00, and 3:00 are:

At 1:00: (cos(π/6), sin(π/6)) = (√3/2, 1/2)

At 2:00: (cos(π/3), sin(π/3)) = (1/2, √3/2)

At 3:00: (cos(π/2), sin(π/2)) = (0, 1)

Note that these vectors are unit vectors, meaning that they have a length of 1 unit.

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Answer:

I am not sure if my amnswer is right but I hope it helps

Step-by-step explanation:

52p > 43p

To match the functions with their periods:

y=-3tan3s  --> Period = pi/3
y=6sin3s  --> Period = 2pi/3
y=-4cot10m  --> Period = pi/5
y=2cos0000  --> Period = 2pi
y=-sec2kim  --> Period = 2pi

Make sure to double-check the periods of each function to ensure they are correct and detailed in your answer.

A function is defined as a relationship between a group of inputs that each have one output. A function is a connection between inputs in which each input is associated to exactly one output. Every function has a domain and a codomain, as well as a range. In general, a function is denoted as f(x), where x represents the input.

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This is not the complete question, the complete question is:

Automobile claim amounts are modeled by a uniform distribution on the interval [0, 10,000]. Actuary A reports X, the claim amount divided by 1000. Actuary B reports Y, which is X rounded to the nearest integer from 0 to 10.Calculate the absolute value of the difference between the 4th moment of X and the 4th moment of Y

A) 0

B) 33

C) 296

D) 303

E) 533

Answer: B) 33

Step-by-step explanation:

First lets say;

z: automobile claim amounts

x: the claim amount dived by 1000

y: x rounded to the nearest integer from 0 to 10

z ≅  V[0, 10,000]

x = z / 1000 ≅ V[0, 10 ] ⇒ Fx { 1/10, 0 ≤ x ≤ 10} 0, 0/10

y =  {0,     0 ≤ x < 0.5

       1,       0.5 ≤ x < 1.5

       2,       1.5 ≤ x < 2.5

       3,       2.5 ≤ x < 3.5

        ↓

       9,        8.5 ≤ x < 9.5

       10,       9.5 ≤ x < 10

SO 4th moment of x = E(x²) = ∫₀¹⁰x⁴ 1/10 dₓ

                                 = 1/10 (x⁵ / 5)₀¹⁰

                                  = 10⁵ / (10 * 5)

                                  = 100000/50

                                   = 2000

Now

4th moment of y = E(y⁴) = ∑/y y⁴ p( y=y)

                             = 0⁴p( y=0) + 1⁴p( y=1 ) + 2⁴p( y=2) + → + 10⁴p( y=10)

                             = 0 + 1⁴.p( 0.5 ≤ x < 1.5) +  2⁴.p( 1.5 ≤ x < 2.5) + 3⁴.p( 2.5 ≤ x < 3.5 ) + → + 10⁴.p( 9.5 ≤ x < 10 )

                   = 1/10 [ 1⁴(1.5 - 0.5) + 2⁴(2.5 - 1.5) + → + 9⁴(9.5 - 8.5) + 10⁴(10 - 9.5)]

                   = 1/10 [ 1⁴ + 2⁴ + → + 9⁴ + 1/2*10⁴] = 2033.3

now the absolute difference will be

AD = ║E(x⁴) - E(y⁴)║

     = ║ 2000 - 2033.3║

     = 33.3 ≈ 33

Answer:

$3.00

Step-by-step explanation:

Answer:

Step-by-step explanation:

\( = 8 \frac{1}{4} \times 10 \frac{3}{4} \)

\( = \frac{33}{4} \times \frac{43}{4} \)

\( = \frac{1419}{4} \)

\( = 354 \frac{3}{4} \: \: feet\)

The expected value of buying one ticket in this charity raffle is $0.42. This means that, on average, a person can expect to win approximately $0.42 if they purchase a single ticket.

To calculate the expected value, we need to consider the probability of winning each prize multiplied by the value of the prize. Let's break it down:

- There is a 1/5000 chance of winning the $600 prize, so the expected value contribution from this prize is (1/5000) * $600 = $0.12.

- There are 3/5000 chances of winning the $300 prize, so the expected value contribution from these prizes is (3/5000) * $300 = $0.18.

- There are 5/5000 chances of winning the $40 prize, so the expected value contribution from these prizes is (5/5000) * $40 = $0.04.

- Finally, there are 20/5000 chances of winning the $5 prize, so the expected value contribution from these prizes is (20/5000) * $5 = $0.08.

Summing up all the expected value contributions, we get $0.12 + $0.18 + $0.04 + $0.08 = $0.42.

Therefore, if you buy one ticket in this raffle, the expected value of your winnings is $0.42.

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Answer:

4

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

\(2x-5\leq 11\\2x\leq 16\\x\leq 8\)

\(-2x+7\leq -9\\-2x\leq -16\\x\geq 8\)

Once \(x \in \mathbb{Z}\) we can conclude that

\(A=(-\infty, 8]\)

\(B=[8, \infty)\)

So \(A\cap B = 8\)

Answer:

76

Step-by-step explanation:

1. Replace n with 10. The equation will look like:

-5+9(10-1)

2. Remember PEMDAS! The first step in solving the equation is solving whatever is in the parenthesis:

-5+9(9)

3. The next step is exponents, but since there aren't exponents in the equation, we move to multiplication and division. The equation should now look like this:

-5+81

4. Now we move on to addition and subtraction; add the two numbers!

-5+81=76

There's your answer!! Hope this helped :)

Answer:

1440

Step-by-step explanation:

1440 because u have multiply 120x12 because there r 12 months

Answer: The answer is 6x^2y(9 - 2y)

Step-by-step explanation: I am not completely sure sorry if its wrong

The value of tan(A) is equal to 3/4.

Option B is the correct answer.

We have,

To find the tangent of angle A, we can use the formula for tangent in a right triangle, which is given by:

tan(A) = opposite/adjacent

In this case,

Side a is the length of the side opposite to angle A, and side b is the length of the side adjacent to angle A.

Given that b = 12 and a = 9, we can substitute these values into the formula:

tan(A) = a/b = 9/12 = 3/4

Therefore,

The value of tan(A) is equal to 3/4.

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