Daniel has 3 sets of colored pencils. Each set has 6 pencils. How many pencils does Daniel have in all? Model this by drawing base - 10 blocks.

Answer:

4.47 liters

Step-by-step explanation:

To find how many liters were left, subtract the amount they drank from the original amount:

34.07 - 29.6

= 4.47

So, there were 4.47 liters of water left in the cooler.

After players drank 29.6 liters of water from 34.07 liters there is 4.47 liters of water left in the cooler.

Addition is also known as the sum, subtraction is also known as the difference, multiplication is also known as the product, and division is also known as the factor.

Given, A soccer coach filled a water cooler with 34.07 liters of water before a game.

The players drank 29.6 liters during their game.

∴ Liters of water that is left in the cooler is the difference between water-filled before the game to the water drank by players during their game which is,

= (34.07 - 29.6).

= 4.47 liters are left in the cooler.

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8. To find horsepower, all units need to be converted to the same units.Then, 1 hp = 745.7 watts1 Btu/hr = 0.293 watt500 ft-lbf/sec = 1.35581795 kW5,000 kJ/s = 5,000 kWSo, converting each to kW, we have:5,000 kW - 1.3558 kW - 12.4 x 0.293 kW = 4,631.44 kWNow convert this to hp. 4,631.44 kW = 4,631.44 / 745.7 hp = 6.21 hp to 3 significant figures. Therefore, the answer to the given problem is 6.21 hp to 3 significant figures.

9. we need to calculate the sum of all the given numbers and find the value to the correct significant digits.6.7832 + 1.234 + (2.8723 * 2.3) - 0.97268= 6.7832 + 1.234 + 6.61329 - 0.97268= 13.65881The given numbers have four significant figures (the ones with decimals), so the answer should also have four significant figures. Therefore, the value of the given expression to the correct significant digits is 13.66.10. Stefan-Boltzmann constant expressed in terms of cal/week.ft.mile. K².R².The Stefan-Boltzmann constant, also known as the Stefan constant, is given as σ = 5.670373(21) x 10^-8 W/(m²K^4).Here, the units are in watts per meter squared Kelvin to the fourth power.1 watt = 0.239006 calories/second 1 meter = 3.28084 feet1 week = 604800 seconds1 mile = 5280 feet1 R (Rankine temperature scale) = 1.8 K = 1.8°CThus, σ = 5.670373(21) x 10^-8 W/(m²K^4) can be written as:σ = (5.670373(21) x 10^-8 W)/(m²K^4) × 0.239006 cal/(s·W) × 604800 s/week × (ft/m)^2 × (mi/5280 ft)^2 × (°R/K)^4σ = 0.177134 cal/week·ft^2·mi·K^4·°R^4Hence, the Stefan-Boltzmann constant can be expressed in terms of cal/week·ft^2·mi·K^4·°R^4.

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SOLUTIION

The given equations are

This further gives

Therefore the solutions are:

From the option considering the value q=8, it follows

And

Therefore the solution is

Answer:

2nd option is the correct answer.

\( 5\frac{1}{3}\: units\)

Step-by-step explanation:

\( In\:\triangle XWZ, \: \angle XWZ= 90°

\\ \: \&\: WY \perp XZ\\\)

Therefore, by geometric mean postulate:

\( WY^2 = XY\times YZ\\

\therefore 4^2 = 3\times a\\

\therefore 16 = 3a

\therefore a = \frac{16}{3}\\\\

\huge \red {\boxed {\therefore a = 5\frac{1}{3}\: units}} \)

If $4400 is placed in account at 8.25% for 22 years , then the final amount received after 22 years will be $26480.08  .  

We use the formula for compound interest to find the final amount  :

that is ⇒  A = P(1 + r)ˣ  ;

where:  A = the amount of money in the account after "x years"  ;

P(initial amount) = $4400 ;   r (interest rate) = 0.0825  ;

⇒ x(time) = 22 years

we get ;

⇒ A = 4400×(1 + 0.0825)²²  ;

⇒ A =  4400×(1.0825)²²  ;

⇒ A =  4400×6.018028  ;

⇒ A = 26480.08  ;

Therefore , the amount in the account after 22 years is $26480.08  .

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The double integral that would give the volume of the solid is: V = ∬ R (4 - x² - y²) dA

The volume of the solid bounded above by z = 4 - x² - y² and below by z = 0, using polar coordinates, is given by the expression: V = 2/3 a³ - (1/15) a⁵

a) Using rectangular coordinates, the double integral that would give the volume of the solid is:

V = ∬ R (4 - x² - y²) dA

where R is the region in the xy-plane that bounds the solid.

b) To convert to polar coordinates, we can express x and y in terms of r and θ:

x = r cos(θ)

y = r sin(θ)

The limits of integration for r and θ depend on the region R. Assuming the region R is a circle with radius a centered at the origin, we have:

0 ≤ r ≤ a

0 ≤ θ ≤ 2π

The volume in polar coordinates is then given by the double integral:

V = ∬ R (4 - r²) r dr dθ

where the limits of integration are as mentioned above.

Let's evaluate the volume of the solid using polar coordinates.

The double integral for the volume in polar coordinates is:

V = ∬ R (4 - r²) r dr dθ

where R is the region in the xy-plane that bounds the solid.

Assuming the region R is a circle with radius a centered at the origin, the limits of integration are:

0 ≤ r ≤ a

0 ≤ θ ≤ 2π

Now, let's evaluate the integral:

V = ∫₀²π ∫₀ʳ (4 - r²) r dr dθ

Integrating with respect to r:

V = ∫₀²π [2r² - (1/3)r⁴]₀ʳ dθ

V = ∫₀²π (2r² - (1/3)r⁴) dθ

Integrating with respect to θ:

V = [2/3 r³ - (1/15) r⁵]₀²π

V = (2/3 (a³) - (1/15) (a⁵)) - (2/3 (0³) - (1/15) (0⁵))

V = (2/3 a³ - (1/15) a⁵) - 0

V = 2/3 a³ - (1/15) a⁵

So, the volume of the solid bounded above by z = 4 - x² - y² and below by z = 0, using polar coordinates, is given by the expression:

                                          V = 2/3 a³ - (1/15) a⁵

where 'a' is the radius of the circular region in the xy-plane.

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Answer:37, 12,12/37

Step-by-step explanation:

The type directions that lie in the (110) plane are Crystal planes are equivalent planes that represent a group of crystal planes with a common set of atomic indexes.

Crystallographers use Miller indices to identify crystallographic planes. A crystal is a three-dimensional structure with a repeating pattern of atoms or ions.In a crystal, planes of atoms, ions, or molecules are stacked in a consistent, repeating pattern. Miller indices are a mathematical way of representing these crystal planes.

Miller indices are the inverses of the fractional intercepts of a crystal plane on the three axes of a Cartesian coordinate system.Let us now determine which of the type directions lie in the (110) plane.[101] is not in the (110) plane because it has an x-intercept of 1, a y-intercept of 0, and a z-intercept of 1. So, this direction does not lie in the (110) plane.[110] is in the (110) plane since it has an x-intercept of 1, a y-intercept of 1, and a z-intercept of 0.

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The expected value of a lottery ticket is $0.13312. The expected value of a lottery ticket is the average amount that a player can expect to win or lose per ticket bought. To calculate the expected value, one multiplies each outcome by its probability and adds the results.

In this case, there are three possible outcomes: winning $1 billion, winning $10 million, or winning nothing. There are a total of 60 possible numbers for each of the 5 numbers, so there are 60^5 = 7,776,000,000 possible sequences that the lottery could choose. To calculate the probability of winning $1 billion, there is only one winning sequence, so the probability is 1/7,776,000,000. The expected value for winning $1 billion is therefore:
$1,000,000,000 × 1/7,776,000,000 = $0.128
To calculate the probability of winning $10 million, there are four winning sequences for the first four numbers, and 60 possibilities for the fifth number, so the probability is 4/7,776,000,000.

The expected value for winning $10 million is therefore:
$10,000,000 × 4/7,776,000,000 = $0.00512
To calculate the probability of winning nothing, there are 7,775,999,995 losing sequences out of 7,776,000,000 total sequences, so the probability is 7,775,999,995/7,776,000,000. The expected value for winning nothing is therefore:
$0 × 7,775,999,995/7,776,000,000 = $0
Adding these three expected values together gives the overall expected value of a lottery ticket:
$0.128 + $0.00512 + $0 = $0.13312

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The value of the variable 'x' is 48 degrees. Then the correct option is B.

It is a polygon with four sides. The total interior angle is 360 degrees. A parallelogram's opposite sides are parallel and equal.

In the figure, the side NP is parallel to the side MQ. Then the quadrilateral will be a parallelogram.

We know that the sum of the adjacent angles of the parallelogram will be 180 degrees.

x + 32 + 100 = 180

x = 180 - 132

x = 48

The value of the variable 'x' is 48 degrees. Then the correct option is B.

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Answer:

Here's the answer hope it helps!!

The constraint that is NOT valid is " \(y > = 5x + 30\) "

To determine the constraints, we analyze the given information. The farmer has a 500-acre farm, and she wants to optimize her planting strategy for wheat and corn. Each acre of wheat requires 1 person-day of labor and $20 in expenses, while each acre of corn requires 5 person-days of labor and $30 in expenses. The farmer has a budget of $11,400 and 1480 person-days of labor available.

To maximize profit, we consider the profit per acre for each crop, which is $90 for wheat and $120 for corn. Let x represent the acres of wheat and y represent the acres of corn.

The constraints are as follows:

By considering these constraints, the farmer can determine the optimal combination of wheat and corn planting to maximize profit while adhering to resource limitations.

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The success of a student's transformation can be determined by analyzing their performance data, but there may be external factors that could affect the outcome, and further analysis may be necessary.

If the student's data show a clear improvement in their performance, skills, or knowledge after undergoing a specific transformation, then we can say that the transformation was successful. On the other hand, if there is no discernible improvement or even a decline in the student's performance, we can infer that the transformation was unsuccessful.

However, in some cases, the data might not be entirely conclusive, and there could be other factors affecting the outcome. For example, a student may have made some progress, but not enough to meet the expected outcomes fully. In such cases, we might need to analyze the data more thoroughly to determine the extent of the transformation's success.

There could be several reasons why a student's data might not match the expected outcome of a successful transformation. For instance, the student might not have fully embraced the transformation or might have faced challenges or obstacles that hindered their progress. Additionally, external factors such as socioeconomic background, family support, and access to resources could also impact the results.

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There are 21 different ways to select a team consisting of 2 second graders and 1 first grader from among the students at the school.


To select a team consisting of 2 second graders and 1 first grader from a group of 2 second graders and 7 first graders, we need to use combinations. A combination is a way of selecting objects from a larger set where order does not matter. In this case, we need to select 2 second graders and 1 first grader from a group of 2 second graders and 7 first graders.
To calculate the number of ways to select 2 second graders from a group of 2, we can use the formula for combinations:
nCr = n! / r!(n-r)!
where n is the total number of objects, r is the number of objects we want to select, and ! means factorial (e.g. 5! = 5 x 4 x 3 x 2 x 1 = 120).
Applying this formula to our problem, we get:
2C2 = 2! / 2!(2-2)! = 1
There is only 1 way to select 2 second graders from a group of 2.
To calculate the number of ways to select 1 first grader from a group of 7, we can use the same formula:
7C1 = 7! / 1!(7-1)! = 7
There are 7 ways to select 1 first grader from a group of 7.
Finally, we can calculate the total number of ways to select a team consisting of 2 second graders and 1 first grader by multiplying the number of ways to select 2 second graders by the number of ways to select 1 first grader:
1 x 7 = 7
Therefore, there are 7 different ways to select a team consisting of 2 second graders and 1 first grader from among the students at the school.

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Given:

Eli has 1500 clients at her hair salon.

15% of clients are children and 30% are men.

To find:

The number of clients who are children.

Solution:

Total number of clients = 1500

Children clients = 15%

Number of children clients = 15% of Total clients

\(=\dfrac{15}{100}\times 1500\)

\(=225\)

Therefore, the total number of children clients is 225.

Answer:

10. y= -3x + 5

11. y= -0.5x +2

Step-by-step explanation:

Answer:

answer is b). y = 100+ 0.05x

Step-by-step explanation:

0.003 is the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations

To calculate the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations.The mean is the expected number of calls involving a fax transmission, while the standard deviation is the measure of variability in the distribution. We then use this information to calculate the probability of exceeding the expected number by more than 2 standard deviations, which can be done using the z-score formula. The z-score for values more than 2 standard deviations away from the mean is 2.33, which corresponds to a probability of 0.003. Thus, the probability that the number of calls among the 25 that involve a fax transmission exceeds the expected number by more than 2 standard deviations is 0.003.

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Answer:

x > 16/5 or x < -3/4

Step-by-step explanation:

Equation 1: 5x - 4 > 12

Equation 2: 12x + 5 < -4

Equation 1: 5x - 4 > 12

add 4 to both sides

5x > 16

divide by 5 on both sides

x > 16/5

Equation 2: 12x + 5 < -4

subtract 5 on both sides

12x < -9

divide by 12 on both sides

x < -9/12

simplify

x < -3/4

Answer:

h = -3y + 2x

Step-by-step explanation:

Add 4x to both sides of the equation.

2h = −6y + 4x

Divide each term in 2h = −6y + 4x by 2 and simplify.

Divide each term in 2h = −6y + 4x by 2.

2h/2 = -6y/2 + 4x/2

Simplify the left side.

h = −6y/2 + 4x/2

Simplify the right side.
Simplify each term.
Cancel the common factor of −6 and 2.

h = -3y+2(2x)/2

Cancel the common factors.
Factor 2 out of 2.

h = -3y+2(2x)/2(1)
Cancel the common factor

h = -3y+2(2x)/2(1)
Rewrite the expression
h = -3y + 2x/1

Divide 2x by 1.
h = -3y + 2x

hopefully its right LOLZ

Answer:

3x^4

Step-by-step explanation:

Answer:

495x^10 y^5

Step-by-step explanation:

Answer:

x = 3, y = 11/7.

Step-by-step explanation:

6x - 7y = 7

x - 7y  = -8   Subtract:

5x = 15

x = 3

3 - 7y = -8

-7y = -11

y = 11/7.

Answer: x = 3 and y =  11/7

Step-by-step explanation: 6x-7y+(-6x) = 7+(-6x)                                             -7y/-7 = -6x+7/-7                                                                                                     y = 6/7x-1                                                                                                               x-7 (6/7 (x) -1) = -8                                                                                             -5x+7+(-7) = -8+(-7)                                                                                         -5x/-5 = -15/-5                                                                                                        x = 3                                                                                                                         y = 6/7x-1                                                                                                               y = (6/7) (3) -1                                                                                                         y = 18/7-1                                                                                                                 18/7-1/1                                                                                                                 18/7-7/7                                                                                                                 y= 11/7                                                                                                                     x = 3 and y =  11/7

Answer:

The answer is -18

Step-by-step explanation:

Actually if the x2 is supposed to be x^2 then it's -10

Answer: -18

Step-by-step explanation:

Answer

129,454,475,954

Step-by-step explanation:

it is the four in bold

Answer:

4 is in the hundred-thousands place.

Explanation:

129,454,475,954

(the one that I bolded and underlined out)

If the guy wire is fastened to the tower 250 feet high, and is 780 feet long, then the angle of elevation round to nearest hundred degree is 18 degrees.

The angle of elevation can be determined using the trigonometric function called tangent. In this case, we can use the tangent function to find the angle.

To find the angle of elevation, we can consider the triangle formed by the guy wire, the tower, and the horizontal ground. The height of the tower is given as 250 feet, and the length of the guy wire is 780 feet.

The tangent of an angle is equal to the ratio of the opposite side to the adjacent side in a right triangle. In this case, the opposite side is the height of the tower (250 feet), and the adjacent side is the length of the guy wire (780 feet).

Using the tangent function, we can set up the equation:

tan(angle) = opposite/adjacent tan(angle) = 250/780

Now, we can solve for the angle by taking the inverse tangent (also known as arctangent) of both sides:

angle = arctan(250/780)

Using a calculator, we find that the angle is approximately 17.59 degrees. Rounding to the nearest hundredth degree, the angle of elevation is approximately 18 degrees.

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Step-by-step explanation:

Probabibility = 1/6 * 1/6 = 1/36 = 2.77%.

1.

180-146 = 34

2.

(5y +3) + (4y +8) + 34= 180

9y +45 = 180

9y = 135

y = 15

Answer: 15