What happens to the arrangement of water molecules as ice melts?
A. Molecules gain enough energy to escape as vapor.
B. Molecules release enough energy to escape as vapor.
C. Molecules release enough energy to move from their fixed positions.
D. Molecules gain enough energy to move from their fixed positions.

if 5/8 were bought then 3/8 are still available ( 5/8 +3/8 = 1)

45000 * 3/8 = 135000/8 = 16,875 seats are still available

it would take 84 hours,or 3.5 days,hope this helps

let x = hours

6x + 14x = 40

20x=40

x = 40/20 = 2 hours

1 pm + 2 hours = 3 pm

eastbound trains is going 14 miles per hour, 14 mph x 2 hours = 28 miles

 Answer is A. 3 pm and 28 miles

The eastbound train has traveled 28 miles and they met at 3:00 pm

Speed is the ratio of total distance to total time taken. It is given by:

Speed = distance / time

Let both cargo trains meet each other at time t.

For the train traveling west:

6 = d₁ / t

d₁ = 6t

For the train traveling east:

14 = d₂ / t

d₂ = 14t

Since both trains are 40 miles apart, hence:

d₁ + d₂ = 40

6t + 14t = 40

20t = 40

t = 2 hours

t = 3:00 pm (1:00 pm + 2 hours)

Distance travel by east bound train = d₂ = 14t = 14(2) = 28 miles

The eastbound train has traveled 28 miles and they met at 3:00 pm

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Answer:

67.307 feet of rope per team

Step-by-step explanation:

Answer:

The answer is B. A, B, and C

Step-by-step explanation:

Just took the test on edg

Probabilities are used to determine the chances of an event

The value of P(a and b) is 0.21

The given parameters are:

P(a) = 0.62

P(b) = 0.47

P(a or b) = 0.88

P(a and b) is calculated using the following formula

P(a and b) = P(a) + P(b) - P(a or b)

So, we have:

P(a and b) = 0.62 + 0.47 - 0.88

P(a and b) = 0.21

Hence, the value of P(a and b) is 0.21

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Mrs. Ellis would need 48 tiles to cover the area of her room. The cost of a single tile is $0.84, so the total cost to tile the room not including labor would be $40.32.

To determine the cost to tile the room, we first need to figure out how many tiles Mrs.Ellis needs. We know that each tile covers an area of 2ft * 2ft, which is 4 square feet. Now, we must find out the area of the room by multiplying the length by the width (16ft * 12ft), resulting in 192 square feet. To find out how many tiles are needed, we can divide the total area of the room by the area of one tile (192ft² / 4ft² = 48). Therefore, Mrs. Ellis needs 48 tiles to cover the entire room. Since each tile costs $0.84, the total cost would be 48 * $0.84 = $40.32. Thus, the cost to tile the room excluding labor charges is $40.32.

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Baruka has [tex]\( \frac{32}{64} \)[/tex] gallons left. [tex]\( \frac{32}{5} \) servings of \( \frac{5}{64} \)[/tex] gallons; she has 6 servings.

To find out how many [tex]\( \frac{5}{64} \)[/tex] gallon servings of milk Baruka has left, we need to first convert the amount of milk she has in gallons to the same unit as [tex]\( \frac{5}{64} \)[/tex] gallons.

Since [tex]\( 1 \)[/tex] gallon is equivalent to [tex]\( \frac{64}{64} \)[/tex] gallons, and she has [tex]\( \frac{1}{2} \)[/tex] gallon left, she has [tex]\( \frac{1}{2} \times \frac{64}{64} = \frac{32}{64} \)[/tex] gallons left.

Now, we can find out how many [tex]\( \frac{5}{64} \)[/tex] gallon servings are in [tex]\( \frac{32}{64} \)[/tex] gallons:

[tex]\[ \frac{\frac{32}{64}}{\frac{5}{64}} = \frac{32}{5} \][/tex]

Now, we divide [tex]\( 32 \) by \( 5 \)[/tex] to find the number of servings:

[tex]\[ \frac{32}{5} = 6.4 \][/tex]

So, Baruka has [tex]\( 6.4 \)[/tex] servings of [tex]\( \frac{5}{64} \)[/tex] gallon servings of milk left. However, since she can't have a fraction of a serving, she has [tex]\( 6 \)[/tex] servings left.

48/75

 both numbers are divisible by 3

 so it simplifies to 16/25

The measure of the third outgoing current will be 0.5 amperes.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

The three incoming currents at a node in an electrical circuit measure 0.7 amps, 0.68 amps, and 0.47 amps two of the three outgoing currents measure 0.8 amps and 0.55 amps.

Then the measure of the third outgoing current will be

We know that the sum of the incoming current will be equal to the sum of the outgoing current at a junction.

Let the incoming current be I₁, I₂, and I₃. And the outgoing current is I₄, I₅, and I₆. Then we have

I₁ + I₂ + I₃ = I₄ + I₅ + I₆

0.7 + 0.68 + 0.47 = 0.8 + 0.55 + I₆

1.85 = 1.35 + I₆

I₆ = 0.5

Thus, the measure of the third outgoing current will be 0.5 amperes.

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Final answer:

To identify a basis for the row and column spaces of a matrix and determine its rank, one uses row reduction to reach REF or RREF. The non-zero rows of the RREF are the basis for the row space, the corresponding columns in the original matrix form the basis for the column space, and the rank is the number of these basis vectors. In statistics, the degrees of freedom for the Test of Independence is calculated as (number of columns - 1)(number of rows - 1).

Explanation:

To find a basis for the row space and column space of a matrix as well as the rank, you follow specific procedures. First, perform row reduction on the matrix to bring it to row echelon form (REF) or reduced row echelon form (RREF). The non-zero rows of the RREF correspond to a basis for the row space. The columns in the original matrix that correspond to the leading 1s in the RREF form a basis for the column space. The rank of the matrix is equal to the number of leading 1s in the RREF form, which is also the number of basis vectors for either the row space or column space since they have the same dimension.

The Test of Independence in statistics uses a contingency table to determine if two categorical variables are independent. The number of degrees of freedom for the test is given by the formula: (number of columns - 1)(number of rows - 1). This is critical when referencing the chi-squared distribution table to determine the p-value for the hypothesis test.

Answer:

In this item, we are given that out of 12 ounces of ingredients comprising the milkshake, there are 4 ounces vanilla. Expressing this into fraction will give us an answer of 4/12. This fraction can be one of the answers. Since we are asked for two fractions, we can simplify 4/12 such that we get an equivalent fraction that is equal to 2/6. Hence, the answers to this question are 4/12 and 2/6...

hope it helps

there are 4 9's in a deck

 so first pick = 4/52 reduces to 1/13

second pick there would be 3 9's left and 51 cards so it would be 3/51 reduces to 1/17

probability of both happening = 1/13 * 1/17 = 1/221 (fraction form)

 if you need it in decimal it = 1/221 = 0.00452, rounded to 0.005

Answer:

[tex]\frac{4}{5} [/tex]  ounce

Step-by-step explanation:

We can use rule of three to answer this problem.

The data we have is the following:

fertilizer (ounces)        area(m^2)

            1/2                ⇒     5/8

              x                 ⇒       1

the x represents the unknown quantity of fertilizer that is used in one square meter.

Now we multiply the cross quantities and divide by the remaining value.

[tex]x=\frac{1}{2}*1[/tex] ÷ [tex]\frac{5}{8}[/tex]

[tex]x=\frac{1*8}{2*5} =\frac{8}{10} =\frac{4}{5}[/tex]

He will use 4/5 ounces of fertilizer per square meter.

Final answer:

Taylor's net proceeds from the stock transaction are $525, after accounting for the initial purchase cost and broker's commissions on both the buying and selling of the stock.

Explanation:

Taylor bought 200 shares of stock at $18.12 per share and paid a flat brokerage fee of $30. To find the initial cost, we multiply the number of shares by the purchase price and then add the fee:

200 shares × $18.12/share + $30 = $3,654

When Taylor sold his shares at $21 per share, his gross proceeds were:

200 shares × $21/share = $4,200

The broker commission of 0.5% on the selling price is calculated as:

$4,200 × 0.005 = $21

To find Taylor's net proceeds, we subtract both the initial cost and the selling commission from the gross proceeds:

$4,200 - $3,654 - $21 = $525

Therefore, Taylor's net proceeds from the stock transaction are $525.

Answer: The answer is y = 500(1.04) x

Step-by-step explanation: The formula is y = P (1 + r) x

So, given that P which is the initial value 500(1+0.4) x

f(x)=500(1.04) x