The Reunion Tower in Dallas, Texas, is topped by a spherical dome that has a surface area of approximately 13,924 \pi square feet. What is the volume of the dome? Round to the nearest tenth.

Step-by-step explanation:

Input Equation can be rewritten:

= (9*1/2)+(7*-91/12)

= (9/2)+(7*-91/12)

= (4.5)+(7*-91/12)

= 4.5+(7*-91/12)

= 4.5+(-637/12)

= 4.5+(-53.083333333333)

= 4.5+-53.083333333333

= 4.5-53.083333333333

= -48.583333333333

hope this helps!

Answer:

16x-103/12

Step-by-step explanation:

(9x+1/2)+(7x-9 1/12)

9x+1/2+(7x-109/12)

remove parenthesis

9x+1/2+&x-109/12

combine like terms and differences.

16x-103/12

Answer:

he had $24 in the bank

Step-by-step explanation:

the total money he withdrew was $9 plus $3

that is $12

and we were told he withdrew half of his money from the bank

that is $12

that means he had twice of $12 in the bank which is $24

Answer:

$24

Step-by-step explanation:

9+3=12 Then 12x2=24

The number of reindeer in St. Elsewhere in 1920 will be approximately 475.

The growth rate of .12 indicates an annual increase of 12%, meaning that each year the number of reindeer will be multiplied by 1.12. To find the number of reindeer in 1920, we need to use this growth rate over the 20-year period from 1900 to 1920.
Starting with the initial 52 reindeer, we can multiply by 1.12 for each year. This gives us:
Year 1: 52 * 1.12 = 58.24
Year 2: 58.24 * 1.12 = 65.10
Year 3: 65.10 * 1.12 = 72.90
Year 4: 72.90 * 1.12 = 81.60
Year 5: 81.60 * 1.12 = 91.15
Year 6: 91.15 * 1.12 = 101.66
Year 7: 101.66 * 1.12 = 113.27
Year 8: 113.27 * 1.12 = 126.13
Year 9: 126.13 * 1.12 = 140.43
Year 10: 140.43 * 1.12 = 156.36
Year 11: 156.36 * 1.12 = 174.16
Year 12: 174.16 * 1.12 = 194.10
Year 13: 194.10 * 1.12 = 216.45
Year 14: 216.45 * 1.12 = 241.58
Year 15: 241.58 * 1.12 = 269.87
Year 16: 269.87 * 1.12 = 301.72
Year 17: 301.72 * 1.12 = 337.62
Year 18: 337.62 * 1.12 = 378.10
Year 19: 378.10 * 1.12 = 423.77
Year 20: 423.77 * 1.12 = 475.30
Therefore, the number of reindeer in St. Elsewhere in 1920 will be approximately 475.

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1)The expression 4x^2-16x+12/x^2-9 is undefined when the denominator, x^2-9, equals zero because division by zero is undefined.

x^2-9 equals zero when x equals 3 or x equals -3. Therefore, the expression is undefined at x = 3 and x = -3. In all other cases, the expression is defined.

2) The given expression is:

(5-2x)/(x+2) + x^2/(x^2-4) - 5

To simplify this expression, we need to first find the LCD (least common denominator) of the two fractions. The denominator of the first fraction is x+2, and the denominator of the second fraction is x^2-4, which can be factored as (x+2)(x-2). So the LCD is (x+2)(x-2). Now we can rewrite the expression with this common denominator:

[(5-2x)(x-2) + x^2(x+2) - 5(x+2)(x-2)] / [(x+2)(x-2)]

Expanding the brackets and simplifying, we get:

(-x^3 - 3x^2 - 3x + 5) / [(x+2)(x-2)]

This expression is undefined when the denominator, (x+2)(x-2), equals zero because division by zero is undefined.

(x+2)(x-2) equals zero when x equals -2 or x equals 2. Therefore, the expression is undefined at x = -2 and x = 2. In all other cases, the expression is defined.

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answer is 2.2 66 88862 u88272

Answer:

by doing math

Step-by-step explanation:

Eliminate redundant parentheses

(-6y-5)-13y

(−6y−5)−13y

Combine like terms

Solution : -19y-5

Answer:

D. 28

Step-by-step explanation:

This answer is it because 28 is greater than 25.

Solution

Given the question in the image, the following are the solution steps to answer the question.

STEP 1: Write the given terms

STEP 2: Find the amount of the lumber bought

STEP 3: Find the amount of tax added

STEP 4: Find the total amount paid by michael

To get this, we add the tax to the amount initially paid

Hence, the amount paid by Michael is $9.63

Answer:

x = -3

Step-by-step explanation:

5 + 3(x - 1) = 3x + 14 - (x +15)

5 + ( 3x - 3 ) = 3x + 14 - x -15

3x + 2 = 2x - 1

x + 3 = 0

x = -3

Answer:

x = -3

Step-by-step explanation:

To find the solution to the equation, we would have to find a value of x that would satisfy the equation.

5 + 3(x - 1) = 3x + 14 - (x + 15)

Distribute the 3 on the left side and the - on the right side.

5 + 3x - 3 = 3x + 14 - x - 15

Combine like terms.

2 + 3x = 2x - 1

Subtract 2 from both sides.

3x = 2x - 3

Subtract 2x from both sides.

x = -3

So the solution to the equation would be x = -3.

I hope you find my answer and explanation to be helpful. Happy studying.

Answer:

2nd one

Step-by-step explanation:

Answer:

5y=45 if y=9

Step-by-step explanation:

5y=45 if y=9

5(9)=45

45=45

the volume of the region contained in the cylinder x² + y² = 9, bounded above by the plane z = x and below by the xy-plane is 0.

Given: The cylinder is x² + y² = 9, bounded above by the plane z = x and below by the xy-planeWe know that, the cylinder is x² + y² = 9Which is (x/a)² + (y/b)² = 1Where a = 3 and b = 3The plane is z = xThe region is bounded below by the xy-plane Thus, the volume of the region can be found by integrating z = x with limits of x² + y² ≤ 9.So, V = ∭ dx dy dz where the limits are given by the cylinder and the plane.V = ∫∫∫ (x) dV ... (1)Now, converting the integral into cylindrical coordinates we have,∫∫∫ (x) dV = ∫θ = 0 to 2π ∫r = 0 to 3 ∫z = 0 to r cos θ (r cos θ) rdzdrdθ ... (2)x = r cos θ, y = r sin θ, and z = z.We know that the limits of x² + y² ≤ 9 in cylindrical coordinates are 0 ≤ θ ≤ 2π, 0 ≤ r ≤ 3, 0 ≤ z ≤ r cos θ.Using (2) in (1), we haveV = ∫θ = 0 to 2π ∫r = 0 to 3 ∫z = 0 to r cos θ (r cos θ) rdzdrdθ= ∫θ = 0 to 2π ∫r = 0 to 3 [r² cos θ / 2] dr dθ= ∫θ = 0 to 2π [ 9 cos θ / 2 ] dθ= 9 [ sin θ ]θ = 0 to 2π= 0Thus, the volume of the region contained in the cylinder x² + y² = 9, bounded above by the plane z = x and below by the xy-plane is 0.

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After doing the equitation the at rate of $15 per week.

How to do graph representation?

Graph representation is a way of visualizing data as a graph or chart. It is used to easily identify relationships between data points and to illustrate trends in the data. Graphs can be used to present data in a variety of ways, such as bar graphs, line graphs, pie charts, scatter plots and more. Graphs are especially useful when trying to compare two or more sets of data and to highlight any patterns or trends that may exist. Additionally, graphs are often used to represent numerical data in a more visually appealing way. By using graphs, it is easier to identify relationships, trends and outliers in the data. Graphs also help to make data easier to interpret and understand.

Carson owes = $110

At rate of $15 per week.

The graph representation will follows:

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Answer:

10 different possible scores

Step-by-step explanation:

the total possible scoring combinations are:

large bin (1)   medium bin (5)     small bin (10)    score

3                             0                             0                   3    

2                             1                              0                   7

2                             0                             1                    12

1                              2                             0                   11

1                              0                             2                   21

1                              1                              1                    16

0                             3                             0                   15

0                             2                             1                    20

0                             1                              2                   25

0                             0                             3                   30

Using the principle of combination, the number of different total scores that can be made is 10.

Using the combination relation which includes repetition :

Substituting the values into the formula :

\( \binom{3 + 3 - 1}{3} = \binom{5}{3} \)

Using the combination formula :

\(nCk = \frac{n!}{(n-k)!k!}\)

\(5C3 = \frac{5!}{(5-3)!3!}\)

\(5C3 = \frac{5!}{2!3!}\)

\(5C3 = \frac{5 \times 4}{2} = \frac{20}{2} = 10\)

The number of different total scores that he can make is 10.

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Answer:

the formula of a line is y=mx+c

mx is the gradient/slope and c is the y intercept

so the slope here is -6

the y intercept is -8

hope it helps, mark as brainliest if correct.

The interval is from -10 to 8 on the number line.

What is a number line?

A horizontal line with uniformly spaced numerical increments is called a number line. How the number on the line can be answered will depend on the numbers that are provided. How a number is used, such as when graphing a point, depends on the question that goes with it.

What are negative numbers?

A negative number in mathematics represents the reverse. A negative number is any number that is less than zero in the real number system. Negative numbers are frequently used to indicate how great a loss or a shortage is.

in the given number line, we can observe that all the numbers from -10 to 8  are -8,-6,-2,0,2,4, and 6 (including -10 and 8).

thus the interval is from -10 to 8,

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Answer: B. 102,500

Step-by-step explanation:

Since the exponent of the scientific notation is positive, move the decimal point  

5

places to the right.

102500

Answer:

B

Step-by-step explanation:

Answer: 38

Step-by-step explanation:

Subtract 1/8 from 1/2

12 - 18 is 38.

Steps for subtracting fractions

Find the least common denominator or LCM of the two denominators:

LCM of 2 and 8 is 8

Next, find the equivalent fraction of both fractional numbers with denominator 8

For the 1st fraction, since 2 × 4 = 8,

12 = 1 × 42 × 4 = 48

Likewise, for the 2nd fraction, since 8 × 1 = 8,

18 = 1 × 18 × 1 = 18

Subtract the two like fractions:

48 - 18 = 4 - 18 = 38

Answer:

50 N

Step-by-step explanation:

force = mass X acceleration

= 5 X 10

= 50 N

The volume of the solid obtained by rotating the region bounded by the curves x = 5 + (y - 7)^2 and x = 14 about the x-axis is approximately 133.05 cubic units.

To find the volume using the method of cylindrical shells, we divide the region into infinitesimally thin vertical strips, each with a width of dx. The height of each strip is given by the difference between the two curves, which is (14 - (5 + (y - 7)^2)). The circumference of each cylindrical shell is 2πy, and the width is dx. The volume of each shell can be calculated as V = 2πyx dx.

To find the total volume, we integrate this formula over the interval where x ranges from 5 to 14:

V = ∫[5,14] 2πyx dx

Substituting (14 - (5 + (y - 7)^2)) for y, we get:

V = ∫[5,14] 2π(14 - (5 + (y - 7)^2))(y) dx

Simplifying the expression and integrating:

V = 2π ∫[5,14] (14y - y(y - 7)^2 - (y^3 - 14y^2 + 49y - 35)) dx

Evaluating this integral gives us the volume of approximately 133.05 cubic units.

Therefore, the volume of the solid obtained by rotating the region bounded by the curves x = 5 + (y - 7)^2 and x = 14 about the x-axis is approximately 133.05 cubic units.

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Step-by-step explanation:

\( \sin {}^{2} ( - 300) \cos {}^{2} (120) + \cos {}^{2} ( - 240) \sin {}^{2} (390) = \frac{1}{4} \)

\( \sin {}^{2} (60) \cos {}^{2} ( {}^{} 120) + \cos {}^{2} (120) \sin {}^{2} (30) \)

\( \frac{3}{4} \frac{1}{4} + \frac{1}{4} \frac{1}{4} \)

\( \frac{3}{16} + \frac{1}{16} = \frac{4}{16} = \frac{1}{4} \)

Answer:

2√3+2i

hope it helps

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Answer:

Increase; wider; smaller; narrower.

Step-by-step explanation:

In Statistics, sampling can be defined as a process used to collect or select data (objects, observations, or individuals) from a larger statistical population using specific procedures.

A confidence interval can be defined as a measure of the number of times that a population parameter would be within a given set of data. Thus, it is an estimate of the uncertainty of a given statistical data.

When constructing a confidence interval, to increase the level of confidence, you must increase the margin of error and the confidence interval will be wider. A larger sample size will improve the precision of the confidence interval, therefore, all things being equal, a larger sample size will result in a smaller margin of error and the confidence interval will be narrower.

Hence, for an estimator to be consistent it must have both a small bias and small variance.

Answer:

33 feet

Step-by-step explanation:

\(total \: lengt h \: of \: street = 833 \: ft\)

\(useable \: length \: of \: street = 833 - 8 = 825 \: ft\)

\(width \: of \: front \: yard = \frac{825}{25} \: ft\)

\( = 33\: ft\)

Answer:

x = 55

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

x/5 - 1 = 10

Step 2: Solve for x

Answer:

At most Jose can cut 6 whole pieces pieces with this length.

The matrix equation [4 5 40 - 9 - 5 27 1 - 7 32] can be written as a vector equation Ax = <40 27 32>

A matrix is a rectangular array of numbers, often denoted as Ax, where A is the matrix itself and x is the vector of numbers that make up the columns of the matrix.

In this problem, we are given the matrix equation 4 5 40 - 9 - 5 27 1 - 7 32 and asked to use the definition of Ax to write it as a vector equation.

To do this, we need to identify which numbers are in the matrix A and which numbers are in the vector x.

The numbers 4, 5, -9, -5, 1, and -7 represent the matrix A, while the numbers 40, 27, and 32 represent the vector x.

Therefore, the matrix equation can be written as Ax = 40 27 32.

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Answer: slope is rise over runn !

Step-by-step explanation: so you get your “y” and “x” and put into a fraction!

Answer: See explanation

Step-by-step explanation:

Sita bought a sofa set for Rs 30,000 and sold the sofa set at a loss of 5%. The loss on the sofa will be:

= 5% × 30000

= 5/100 × 30000

= 0.05 × 30000

= 1500

Selling price of the sofa = 30000 - 1500 = 28500

Sita bought a dining set for Rs 20,000 and made a profit of 5% on the dining set. The selling price of the dining set will be:

= 20000 + (5% × 20000)

= 20000 + (0.05 × 20000)

= 20000 + 1000

= 21000

The cost price of the sofa and dining set will be:

= Rs 20000 + Rs 30000

= Rs 50000

The selling price of the dining set will be:

= Rs 28500 + Rs 21000

= Rs 49500

The net result of the transaction is will be:

Selling price - Cost price

= 49500 - 50000

= -500

There's a net loss of $500

Answer:

a number that is divisible by 10 is also divisible by 5 since all factor of 10 are also factor of 5

Two angles are considered supplementary if their sum is equal to 180°. Given that one of the angles measures 85°, we can determine the measure of the other angle by subtracting 85° from 180°.

To find the measure of the other angle, we subtract the given angle of 85° from 180°:

180° - 85° = 95°

Therefore, the measure of the other angle is 95°.

In summary, if one of the two angles is known to measure 85° and the angles are supplementary, we can find the measure of the other angle by subtracting 85° from 180°, resulting in a measure of 95°. The sum of these two angles will be equal to 180°, satisfying the condition for supplementary angles.

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