Item 1 Find the volume of the prism. A rectangular prism with length of start fraction 4 over 5 end fraction millimeter, width of one-half millimeter, and height of start fraction 3 over 8 end fraction millimeter. The volume is $$ cubic millimeter.

Answer:

Step-by-step explanation:

Let x be the amount invested at 9%.

Then the amount invested at 6.5% is  1240-x  dollars.

From the condition, you have this equation

   0.09x = 0.065*(1240-x).

x=520

Answer:

x=-3 im pretty sure

Step-by-step explanation:

so if y=4 and 4 is something plus 7, 7+-3=4 so im abut 98% its -3

To compute the values of (r) and (x) for the different states of the harmonic oscillator, we need to consider the wavefunction solutions for each state.

The wavefunctions for the harmonic oscillator are given by Hermite polynomials multiplied by a Gaussian factor. The energy eigenvalues for the harmonic oscillator are given by (n + 1/2) * h * ω, where n is the quantum number and ω is the angular frequency of the oscillator. (a) Ground State: The ground state of the harmonic oscillator corresponds to n = 0. The wavefunction for the ground state is: ψ₀(x) = (mω/πħ)^(1/4) * exp(-mωx²/2ħ), where m is the mass of the oscillator. In this state, the energy (E₀) is equal to 1/2 * h * ω. Therefore, for the ground state: (r) = 0 (since n = 0). (x) = √(ħ/(2mω)). (b) First Excited State:The first excited state corresponds to n = 1. The wavefunction for the first excited state is: ψ₁(x) = (mω/πħ)^(1/4) * √2 * (mωx/ħ) * exp(-mωx²/2ħ), where m is the mass of the oscillator. In this state, the energy (E₁) is equal to 3/2 * h * ω. Therefore, for the first excited state: . (r) = 1. (x) = √(ħ/(mω)). (c) Second Excited State:The second excited state corresponds to n = 2. The wavefunction for the second excited state is: ψ₂(x) = (mω/πħ)^(1/4) * (2(mωx/ħ)^2 - 1) * exp(-mωx²/2ħ)  where m is the mass of the oscillator. In this state, the energy (E₂) is equal to 5/2 * h * ω.

Therefore, for the second excited state: (r) = 2. (x) = √(ħ/(2mω)). In summary: (a) Ground State: (r) = 0, (x) = √(ħ/(2mω)). (b) First Excited State: (r) = 1, (x) = √(ħ/(mω)). (c) Second Excited State: (r) = 2, (x) = √(ħ/(2mω)).

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Answer:

-i

Step-by-step explanation:

i =i

i^2=-1

i^3= -i

i^4=1

i^5=1

Answer:

Mode =Li+[f1-f0/2f1-f0-f2] *h

Li=lower limit.

F1= first frequency

F0= upper frequency of first frequency.

F2= second frequency.

H= difference between class intervals.

Hope it is helpful

Fifty five percent times two hundred and sixty equal one hundred and forty three

Answer:

20 square yards

Step-by-step explanation:

Perimeter is l + l + w + w or 2l + 2w

Because these rectangles have the same perimeter they are equal.

Set them equal in an equation

2(9) + 2(3) = 2(l) + 2(2)

Simplify

18 + 6 = 2l + 4

24 = 2l + 4

Subtract 4 from both sides to isolate the variable l

20 = 2l

Divide both sides by 2

10 = l

So the length of the purple triangle is 10 yd

Area = l x w

Substitute in the values of the purple triangle

Area = 10 x 2

Area = 20 square yards

Answer:

130°

Step-by-step explanation:

360 = 2(50) + 2x

360 = 100 + 2x

2x = 260

x = 130

The equation in the vertex form will be y = (x + b/2a)² - b²/4a² + c/a and the equation in the standard form will be ax² + bx + c = 0.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.

Convert the standard equation into a vertex form, then we have

x² + (b/a)x + (c/a) = 0

x² + (b/a)x + b²/4a² - b²/4a² + c/a = 0

(x + b/2a)² - b²/4a² + c/a = 0

Put h = - b/2a and k = - b²/4a² + c/a, where (h, k) be the vertex of the parabola. Then the equation will be

(x - h)² + k = 0

The function written in vertex form will be y = (x - h)² + k and in the standard form will be ax² + bx + c = 0.

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The function is given to be:

The domain of a function is the set of input or argument values for which the function is defined.

The function has no undefined points or domain constraints.

Therefore, the domain is given to be:

The correct option d. 2/3x9, If two positive numbers being multiplied together, then the result will be greater than either of the two positive numbers, then 2/3 x 9 will serve as the counterexample.

The result will be greater than each of the two positive numbers if a two positive numbers when multiplied together.

If a two positive numbers in the stated condition are x and y,

xy > x

xy> y

The two figures are found to be 2/3 and 9.

=2/3 x 9

=6

Therefore, 2/3 x 9 will serve as the example that refutes the assertion "If two positive numbers when multiplied together, then perhaps the product would be greater than either of the two positive numbers."

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The correct question is-

Which is a counterexample for the conditional statement?If two positive numbers are multiplied together, then the product will be greater than both of the two positive numbers.

a. 2 x 4

b. 5x(-3)

c. x

d. 2/3x9

Katy's house is about 8.1 miles from Camilla's house, measured in a straight line.

we apply the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.

Using the Pythagorean theorem, we have:

H^2 = west distance^2 + north distance^2

H^2 = 4.6^2 + 6.7^2

H^2 = 21.16 + 44.89

He^2 = 66.05

We take the square root of both sides, we get:

hypotenuse = 8.13

We then can say that  Katy's house is about 8.1 miles from Camilla's house, measured in a straight line.

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Answer:

\((x+2)(x+3)\)

Step-by-step explanation:

⭐What does factorisation mean?

⭐What are factors?

Thus, we have to write \(x^2+5x+6\) in terms of its factors.

I have a picture attached to this response to show you how factorisation works, but I will also explain it here.

How to factorise:

The picture of factorisation is attached to this response.

⭐ if this response helped you, please mark it the "brainliest"!⭐

Answer:

Step-by-step explanation:

Piedmont Middle School = 3x

Let the crows = x                     foul balls

x+ 8 = 3x                                    Subtract x from both sides

x-x + 8 = 3x - x

8 = 2x

x = 4

So the crows hit 4 foul balls

The ravens must have hit 12 foul balls.

They did hit 8 more than the crows did.

Answer:

14

Step-by-step explanation:

If 8 bucketfuls of the green one is used, that makes it 28 gallons (3.5×8)

It's asking you how many bucketfuls you need to obtain the same aount of water. And the amount of water is 28 gallons. So how will you know how many bucketfuls of the orange you need to obtain 28 gallons? Just maths

For orange:

2 gallon = 1 bucketful

1 gallon = ½ bucketful

28 gallons = 14 bucketful (28×½ which also equals 28÷2)

3/3 * 3/4 is fraction of green color .

What is fraction in math?

green colored boxes = 3

blue colored boxes = 3

fraction of green = 3/3 * 3/4

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In the given proof shown below, the idea of tangents and perpendicularity is used to set up a relationship between two lines, AR and BS.

The tangent is a term that is used to tell more or described as the  point of contact between a circle or an ellipse and a single line.

Based on the fact  that the tangent line is perpendicular to radius of the circle.

Hence, AR ⊥ RS and BS ⊥ RS

Therefore, AR and BS ⊥ similar to line RS.

So,  the line AR or BS are said to be either in same line or parallel. because , they are the radius of different circles.

Therefore, AR ║BS.

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Answer:

y=60

Step-by-step explanation:

Answer:

H

Step-by-step explanation:

ST is similar to EF and WR is similar to CD.

Hope it helps.

The solution set to the inequality is x >= -5/6.

Inequality is a relationship between two expressions or values that are not equal to each other. It is used most often to compare two numbers on the number line by their size.

To solve this inequality, we can start by expanding both sides of the inequality:

-1.5(4x + 1) <= 4.5 - 2.5(x + 1)

-6x - 1.5 <= 4.5 - 2.5x - 2.5

-6x - 1.5 <= 2 - 2.5x

Next, we'll isolate the x terms on one side of the inequality and the constant terms on the other side:

-6x <= 3.5 + 1.5x

-6x <= 5

-6x/6 <= 5/6

And finally, we'll divide both sides of the inequality by -6 to find the solution set:

x >= -5/6

Therefore, The solution set to the inequality is x >= -5/6.

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A) The probability of selecting a tomato soup can on the first draw = 4/10

The probability of selecting another tomato soup can on the second draw (without replacement) = 3/9

The probability of selecting a pumpkin soup can on the first draw = 6/10

The probability of selecting another pumpkin soup can on the second draw (without replacement) = 5/9

B) Probability of selecting one tomato soup can and one pumpkin soup can = probability of (i) + probability of (ii)

= 2/15 + 1/3

= 1/3

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Answer

(with step-by-step explanation):

[Find first the value of the 5th term.]

an = a1(r)^n-1

A5 = 2(3)^5-1 = 2(3)⁴ = 2(81) = 162

[Use the formula in finding sum of terms in Geometric Sequence]

Sn = [a1 - an(r)] / 1 - r

[Substitute the given values]

S5 = [2 - 162(3)] / 1 - 3

= 2-486 / -2 = -484/-2 = 242

• Therefore, the answer is Letter B, 242.

This question was already answered by another so i copied it so you would not have to go to that question. :)

The z-score corresponding to M = 81 for a sample of n = 36 scores is 0.5.

The z-score measures the distance between a sample mean and the population mean in terms of standard deviations. It is calculated by subtracting the population mean from the sample mean and dividing it by the standard deviation divided by the square root of the sample size. In this case, we have a population with a mean (μ) of 80 and a standard deviation (σ) of 12. We need to find the z-score for each of the following sample means: M = 84 for a sample of n = 9 scores, M = 74 for a sample of n = 16 scores, and M = 81 for a sample of n = 36 scores.

For the first scenario, where the sample mean (M) is 84 and the sample size (n) is 9, we can calculate the z-score as follows:

z = (M - μ) / (σ / √n)

Substituting the given values, we get:

z = (84 - 80) / (12 / √9) = 4 / (12 / 3) = 1

Therefore, the z-score corresponding to M = 84 for a sample of n = 9 scores is 1.

For the second scenario, where M = 74 and n = 16, we calculate the z-score as:

z = (M - μ) / (σ / √n)

Substituting the values, we have:

z = (74 - 80) / (12 / √16) = -6 / (12 / 4) = -2

Hence, the z-score corresponding to M = 74 for a sample of n = 16 scores is -2.

Lastly, for the third scenario with M = 81 and n = 36, the z-score can be calculated as:

z = (M - μ) / (σ / √n)

Plugging in the given values:

z = (81 - 80) / (12 / √36) = 1 / (12 / 6) = 0.5

Thus, the z-score corresponding to M = 81 for a sample of n = 36 scores is 0.5.

To summarize, the z-scores for the given sample means are as follows: z = 1 for M = 84 with n = 9, z = -2 for M = 74 with n = 16, and z = 0.5 for M = 81 with n = 36. These z-scores represent the number of standard deviations away from the population mean and are useful in determining the relative position of a sample mean within the population distribution.

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The standard deviation of the inside diameter measurements of the old water tank is approximately 0.165m, and the standard deviation of the height measurements is approximately 2.122m.

To calculate the standard deviation, we first find the mean of the inside diameter and height measurements. For the inside diameter, the mean is (4.4 + 4.2 + 4.5 + 4.2) / 4 = 4.325m. we calculate the squared difference between each measurement and the mean, sum them up, and divide by the number of measurements. The result is the variance. Taking the square root of the variance gives us the standard deviation.

For the inside diameter:

Variance = [(4.4 - 4.325)² + (4.2 - 4.325)² + (4.5 - 4.325)² + (4.2 - 4.325)²] / 4 ≈ 0.027m²

Standard Deviation = √0.027m² ≈ 0.165m

For the height:

Mean = (8.8 + 3.9 + 8.6) / 3 ≈ 7.767m

Variance = [(8.8 - 7.767)² + (3.9 - 7.767)² + (8.6 - 7.767)²] / 3 ≈ 4.507m²

Standard Deviation = √4.507m² ≈ 2.122m

These standard deviations indicate the spread or variability of the measurements from the mean. A smaller standard deviation implies that the measurements are closer to the mean, while a larger standard deviation suggests greater variability among the measurements.

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Answer:d

Step-by-step explanation:

Step-by-step explanation:

The idenpendent variable is the amount of blizzard we buy because we can buy any number of real blizzards and we can manipulate it to find our cost.

The dependent variable is the amont of money the blizzard cost because it depends on how many blizzard we buy

Circumference = pi x diameter

Given circumference: 8pi

Diameter = 8

Correct answer: D) 8 cm

Hope this helps!

Answer:

10,000

Step-by-step explanation:

1000 times 10 is 10000

Answer:  7.5 E 0

This is the same as saying 7.5 * 10^0

Both of these values convert to the number 7.5; meaning that the population of the US is about 7.5 times greater than the population of CA.

==========================================================

Work Shown:

40,000,000 = 40 million

40,000,000 = 4.0 * 10^7

Note how we move the decimal 7 spots to the right to go from 4.0 to 40,000,000

so the 7 in 10^7 tells us how many spots to move the decimal point in the base number 4.0

The number 4.0*10^7 can be condensed to 4E7. The "E" represents "times 10 to the"

As another example, "3E8" means "3 times 10 to the 8th power" which becomes 3.0*10^8 = 300,000,000 = 300 million

--------------------------

We have these two facts

We'll divide the two populations to get

y/x = (3E8)/(4E7)

y/x = (3*10^8)/(4*10^7)

y/x = (3/4)*10^(8-7)

y/x = 0.75*10^1

y/x = 7.5

We can see that the population of the US is roughly 7.5 times greater compared to the population of CA.

Convert 7.5 to scientific notation, and we get

7.5 = 7.5*1 = 7.5 * 10^0 = 7.5 E 0

Keep in mind that these are population estimates, and populations change over time.