cristina wants to make centerpieces for a dinner party. she buys 7 cylindrical vases and plans to fill them each halfway with colored water and then place flowers in them. each vase is 8 inches tall and 3 inches in diameter. approximately how much colored water does she need? use 3.14 for π and round your answer to nearest tenth.

Answer:

3)

4)

5)

6)

XY = XW

Find x:

Find WX:

Answer:

456748

Step-by-step explanation:

you 463uy2iuswhk then 13456

Isabella must paint 1410 square feet of walls in all the bedrooms.

To calculate the total square feet of walls that must be painted in all the bedrooms, we will first calculate the total area of each bedroom.

The area of each bedroom can be calculated using the formula for the area of a rectangular room:

Area = Length x Width

Therefore, the area of each bedroom is:

Area = 20 ft × 12 ft = 240 ft2

Now we will calculate the total square feet of walls that must be painted by subtracting the area of the doorways and windows from the total area of each bedroom.

The area of the doorways and windows is 5 ft2 in each bedroom.

Therefore, the total square feet of walls that must be painted in each bedroom is:

Area of walls = 240 ft2 - 5 ft2 = 235 ft2

Since Isabella has bedrooms, the total square feet of walls that must be painted in all the bedrooms is:

Total Area of Walls = 235 ft2 x = 1410 ft2

Therefore, Isabella must paint 1410 square feet of walls in all the bedrooms.

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Step-by-step explanation:

The y-axis reflection line will be horizontal. Take each plotted point and make it an equal distance from the y-axis (0, The reflection line will match the x-axis) you will then have the reflection.

The number of questions on the CUNY Math Assessment Test can vary depending on the specific version of the test administered. However, typically, the CUNY Math Assessment Test consists of multiple-choice questions covering a range of math topics such as algebra, geometry, and trigonometry.

While the exact number of questions can vary, it is common for the CUNY Math Assessment Test to have around 40 to 50 questions. These questions are designed to assess your mathematical knowledge and skills in order to determine your readiness for college-level math courses.

The test is typically timed, and you will have a set amount of time to complete all the questions. It is important to manage your time effectively and pace yourself throughout the test to ensure you have enough time to answer each question.

In order to prepare for the CUNY Math Assessment Test, it is recommended to review and practice a variety of math topics, including algebraic equations, functions, graphs, geometry, and basic trigonometry concepts. Familiarizing yourself with these topics and practicing similar questions can help you become more comfortable with the content and format of the test.

Remember, it's always a good idea to consult official CUNY resources or speak with an academic advisor to get the most up-to-date and accurate information regarding the specific version of the CUNY Math Assessment Test you will be taking.

Overall, the number of questions on the CUNY Math Assessment Test can vary, but typically it consists of around 40 to 50 multiple-choice questions covering various math topics.

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Answer:

Step-by-step explanation:

1st step is to solve x from ΔWXY

∠W + ∠X + ∠Y = 180

where ∠W = 5x + 2

           ∠X = 7x + 4

           ∠Y = 180 - (15x - 18)

                 = 198 - 15x

now plugin values into the equation:

5x + 2   +   7x + 4  +  198 - 15x  = 180

combine similar terms:

5x + 7x - 15x = 180 - 2 - 4 - 198

simplify:

-3x = -24

x = -24 / -3

x = 8

2nd step is to substitute x = 8 into ∠XYZ

∠XYZ = 15x - 18

∠XYZ = 15(8)  - 18

∠XYZ = 102

Step-by-step explanation:

it's average value is 7 which is shown as solved given

The required unit of the measure of the mean is given as in Dollars. Option A is correct.

What does math's median mean?

When a data set's median value is used, 50% of the data points in the collection have values that are lower or equal to the median and 50% of them have values that are higher or equal to the median.

                               When working with a small data collection, you must first count the number of data points (n) and organize them in ascending order.

Due to that,

With a mean of $21,800 and a standard deviation of $400, the price distribution for a specific car model is roughly typical. Four of the model's cars will be chosen at random as the sample.

                                  It must be established which unit of measurement is appropriate for the mean of the sample distribution of the car's pricing.

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Answer: $82,000

Step-by-step explanation:

4000 multiplied by 9 equals $36000. Add 36000 to 46000 and you get $82000.

Answer:

for those that need the answer to the second step the answer is 4000t+46000.

Step-by-step explanation:

The value of sin a + cos a is √7/2.

Trigonometric Identities are equality statements that hold true for all values of the variables in the equation and that use trigonometry functions.

Based on the right-triangle theorem, which is known as Pythagoras theorem, there are three Pythagorean trigonometric identities in trigonometry as follows

Here we have

sin a × cos a = 3/8  

Multiply with 2 on both sides

=> 2(sin a × cos a) = 2(3/8)

=> 2 sin a cos a = 3/4  

Add sin²a + cos²a on both sides

=> sin²a + cos²a + 2 sin a cos a = 3/4 + sin²a + cos²a    

As we know (a + b)² = a²+ b² + 2ab  

=> (sin a + cos a)² = 3/4 + 1

=> (sin a + cos a)² = 7/4

=> sin a + cos a = √7/2

Therefore,

The value of sin a + cos a is √7/2.

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The system 21+12 +2.13 2 11 - 309+ 3.13 -3 (2:11 +19-33 -1 :

(a) Finding the reduced row echelon form of the augmented matrix: This is the augmented matrix for the given system of linear equations. First, we will perform some basic row operations in order to convert this matrix to its row echelon form. Now, we want to get rid of the entry in the second row and first column. In order to do that, we will subtract the twice the first row from the second row. The second row is already in the correct form. Now, we will subtract 2 times the second row from the first row. This step is not necessary, but it helps simplify the computation for the next step. Next, we will subtract 33 times the second row from the third row.

Now, we want to get rid of the entry in the third row and second column. In order to do that, we will subtract -13 times the second row from the third row. The third row is already in the correct form (leading entry equal to 1).Finally, we will subtract 19 times the third row from the first row. The matrix is now in row echelon form. In order to convert it to reduced row echelon form, we need to get rid of the entry in the first row and second column. We will subtract 5 times the first row from the second row in order to do that. The matrix is now in reduced row echelon form.

(b) Solving the system of equations using the reduced row echelon form: This is the same matrix as before, but we only consider the coefficients and the constants. We can see that the last column is equal to the right-hand side of the equations. Therefore, the third equation is 0 = -16, which is impossible to satisfy. This means that the system of equations is inconsistent. Therefore, there is no solution to the original system of equations.

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    To consider the system MATRIX

How to solve Matrix for this system

(a) Find the reduced row echelon form of the augmented matrix for this system.

The augmented matrix for this system is:

 [2, 1, 2, 16]

 [2, -3, 3, -3]

 [2, 1, -3, -1]

]

We can reduce this matrix to row echelon form as follows:

Swap row 1 and row 2.

[2, -3, 3, -3]

[2, 1, 2, 16]

[2, 1, -3, -1]

Add row 1 to row 2.

[2, -3, 3, -3]

[0, -2, 5, 13]

[2, 1, -3, -1]

Subtract row 1 from row 3.

[2, -3, 3, -3]

[0, -2, 5, 13]

[0, 4, -6, 2]

Swap row 2 and row 3.

[2, -3, 3, -3]

[0, 4, -6, 2]

[0, -2, 5, 13]

Add 1/2 * row 2 to row 3.

[2, -3, 3, -3]

[0, 4, -6, 2]

[0, 0, 1, 15]

Divide row 3 by 1.

[2, -3, 3, -3]

[0, 4, -6, 2]

[0, 0, 1, 15]

Add 6*row 3 to row 2.

[2, -3, 3, -3]

[0, 4, 0, 92]

[0, 0, 1, 15]

Subtract 3*row 3 from row 1.

[2, -3, 0, -48]

[0, 4, 0, 92]

[0, 0, 1, 15]

]

Divide row 2 by 4.

[

[2, -3, 0, -48]

[0, 1, 0, 23]

[0, 0, 1, 15]

Add 3*row 2 to row 1.

[2, 0, 0, 36]

[0, 1, 0, 23]

[0, 0, 1, 15]

Now, we have reduced the matrix to row echelon form. The last column of the matrix represents the values of x, y, and z, respectively, in the solution to the system of equations.

Therefore, the solution to the system of equations is x = 36, y = 23, and z = 15.

(b) Solve the original system of equations.

The solution to the original system of equations is x = 36, y = 23, and z = 15.

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Answer:

It would fill 8 tanks

Step-by-step explanation:

45minutes = 3/4 of an hour

It would fill 6/(3/4) tanks in 6 hours

6/(3/4) = 6/3*4 = 2*4 = 8

Step-by-step explanation:

5x = 19 - 4

5x = 15

x = 15/ 5

= 3

hope it helps!

Answer:

x = 3

Step-by-step explanation:

5x + 4 = 19

5x = 19 - 4

5x = 15

x = 15 ÷ 5

x = 3

Thus, The value of x is 3

5x + 4 = 19

5(3) + 4 = 19

15 + 4 = 19

19 = 19

Hence, L.H.S = R.H.S

-TheUnknownScientist

Answer:

\(\frac{4}{15}\)

Step-by-step explanation:

Answer: John ran 10 miles through Monday and Wednesday.

Step-by-step explanation: He ran for miles on 4 but 4 more than Monday and he ran 3 miles on Monday, so you add 4 + 3 which = 7 then you add 3 to 7 because he ran 3 miles on Monday then you get 10.

Answer:

hi hope this helps you

✌️✌️

Answer:

The first one: the error was that the 3 shouldn’t have been moved but the 5 should have. The correct answer is k=-8

The second one: the error was that they added the 6 and 4, you would only get -10 if the 4 was - the correct answer is -2

You can check your answer by plugging in your answer to the variable and making sure both side equal each other

Step-by-step explanation:

The first one: the 5 should be - from both side so you get k=-8

The second one: the 4 should be + to both sides. And the -6 and +4 should be added together to get n=-2

Remember you always want to get the variables by themselves.

Sorry that was a lot. Hope it helps!

Answer:

52

Step-by-step explanation:

Let the smallest even number = x

The next even number is x + 2, and the next is x + 4, and the next is x + 6, and the next is x + 8, and the next is x + 10

So the six numbers are: x, x + 2, x + 4, x + 6, x + 8, x + 10

The sum of all these numbers = 282

Solve:

6x + 30 = 282

6x = 252

x = 42

Now, the largest integer is x + 10, or in this case, it is 42 + 10 = 52

-Chetan K

Answer:

C. 187, -2,0, 13,-9

Step-by-step explanation:

A is NOT correct since it includes a decimal (.127), which is not part of the list of integers
B is also NOT correct because it breaks the same rule, it uses a decimal (.556).

C is the ONLY correct answer since it does not use obscure numbers (like a square root) or use a decimal.

Hope this helps you!

Answer:

c) 187, -2, 0, 13, -9

Step-by-step explanation:

a) -8, 12, 0, 1/2, .127

→ 1/2, .127 are not integers.

b) 0, 1, 2, -1, -2, 3, .556

→ .556 is not an interger.

c) 187, -2, 0, 13, -9

→ All of them are integers.

Hence, option (c) is correct.

Answer:

Z+12a−z+8+12−+8

Step-by-step explanation:

Z+8−6(z−2a)+5z

+8−6(−2)+5

Z+8−6(−2a+z)+5z

+8−6(−2+)+5

Z+8−6(−2a+z)+5z

+8−6(−2+)+5

Z+8+12a−z+8+12−

Answer:

Z + 8 + 12a − z

12a + 8

Step-by-step explanation:

Answer:

1/52

Step-by-step explanation:

only one queen in a deck of cards

1/52

also the formula is

possibility of getting the outcome/total possible outcomes

Answer:

The ratio of number of students who watched basketball most often to the total number of students is 5 to 20 or 5:20

Step-by-step explanation:

Because 5 students named basketball as the spot the watch most often on television, while 8 of them said baseball and 7 said football. To find the total numbers of students we have to add all the students together so 8 + 7 is 15 and 15 + 5 is 20.

Hoped this help :)

Answer:-1/2

Step-by-step explanation:

Look at the points

Answer:

Adjacent = 9.75 inches.

Step-by-step explanation:

Given the following data;

Hypothenus = 12 inches

Opposite = 7 inches

To find the other leg i.e adjacent, we would use Pythagorean' theorem given by the formula;

Hypothenus² = opposite² + adjacent²

Substituting into the formula, we have;

12² = 7² + adjacent²

144 = 49 + adjacent²

Adjacent² = 144 - 49

Adjacent² = 95

Taking the square root of both sides, we have;

Adjacent = 9.75 inches.

Therefore, the other leg is 9.75 inches.

The Cartesian coordinates of the polar coordinates (2,θ) are `(2 cosθ, 2 sinθ)`.However, as the value of θ is missing, we can not determine the actual values of the coordinates.

Convert polar coordinates to Cartesian coordinates, use the following formulas:`x=r cosθ` and `y=r sinθ`.Here, given polar coordinates are (2,θ)It is missing the value of θ (theta). Therefore, we can not solve it until we get the value of θ (theta).Given that `x=r cosθ` and `y=r sinθ` and the polar coordinates are (2,θ). We know that radius r is given by 2.Therefore, `x= 2 cosθ` and `y = 2 sinθ`. The Cartesian coordinates of the polar coordinates (2,θ) are `(2 cosθ, 2 sinθ)`.

As the value of θ is missing, we can not determine the actual values of the coordinates but we can give you the solution that generalizes the point you can plot. The plotted point is given below. Therefore, the Cartesian coordinates of the given polar coordinates are `(2 cosθ, 2 sinθ)`.Solution:Given polar coordinates are (2,θ).To convert polar coordinates to Cartesian coordinates, use the following formulas:`x=r cosθ` and `y=r sinθ`.Here, the radius r is given by 2.Therefore, `x= 2 cosθ` and `y = 2 sinθ`.The Cartesian coordinates of the polar coordinates (2,θ) are `(2 cosθ, 2 sinθ)`.However, as the value of θ is missing, we can not determine the actual values of the coordinates.

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Answer:

Step-by-step explanation:

2A:3B

= 5:6

3B:2C

= 36:15

A:C

= ?:?

2A/3B x 3B/2C

=5/6 x 36/15

=1/1 x 6/3

=1/1 x 2/1

=2

3B and 3B got canceled

For 2A and 2C, the 2 in front of A and C, got canceled as we are cross multiplying.

So I think the answer is

A:C

=1:1     ??

My answer could be wrong.

The mathematical expression for the electric field at the point x=0,y=0,z at time t is given by`E = (9x10^9 Nm^2/C^2) * q / 29t^2`

The mathematical expression for the electric field at the point x=0,y=0,z at time t is obtained by applying the formula for the electric field due to a moving point charge. This formula can be stated as given below,:

E= k*q/r^2`.

Here, E is the electric field, k is the Coulomb's constant which is equal to `9x10^9 Nm^2/C^2`, q is the point charge, and r is the distance between the point charge and the point of observation. Since the point charge is moving, we need to take into account the distance between the point charge and the point of observation at any given time t. This distance can be calculated using the distance formula given by`: r = sqrt(x^2 + y^2 + z^2)`. At time t, the position of the point charge is given by: `x = 2t, y = 3t, z = 4t`.

Hence, the distance between the point charge and the point of observation is given by: `r = sqrt((2t)^2 + (3t)^2 + (4t)^2)`which simplifies to`r = sqrt(29)t`. Substituting the values of q, k, and r into the formula for electric field, we get`E = (9x10^9 Nm^2/C^2) * q / (sqrt(29)t)^2`

Simplifying, `E = (9x10^9 Nm^2/C^2) * q / 29t^2`

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12x+5x-8x=9x

12x+5x=17x

17x-8x=9x

The capacitance of the parallel plate capacitor is 2.16 x 10⁻⁸ F.

The capacitance of a parallel plate capacitor can be calculated using the formula C = εA/d, where C is the capacitance, ε is the permittivity of free space, A is the area of the plates, and d is the separation between the plates.

In this problem, the plate area is 0.525 m² and the plate separation is 2.15 mm, or 0.00215 m. The permittivity of free space is approximately 8.85 x 10⁻¹² F/m. Substituting these values into the formula, we get:

C = (8.85 x 10⁻¹² F/m) x 0.525 m² / 0.00215 m

= 2.16 x 10⁻⁸ F

Therefore, the capacitance of the parallel plate capacitor is 2.16 x 10⁻⁸ F.

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