anybody want to answer this? give the right answer tho

The equation of the largest sphere with center that is contained completely in the first octant is (x-1/2)² + (y-1/2)² + (z-1/2)² = 1/4.

First, let's define what the first octant is. The first octant is the space that is defined by positive x, y, and z coordinates. This means that all points in the first octant have a positive x-coordinate, a positive y-coordinate, and a positive z-coordinate.

To find the center of the sphere, we need to consider that it is contained completely within the first octant. This means that the center of the sphere must have coordinates that are less than the maximum values of x, y, and z coordinates in the octant.

Let's call the center of the sphere (a, b, c) and the radius r. Since the sphere is contained in the first octant, we know that a, b, and c are positive values. We also know that the sphere is the largest possible, so the radius r is equal to the minimum value of a, b, and c.

So, we can say that the equation of the sphere is

=> (x-a)² + (y-b)² + (z-c)² = r².

We need to find the values of a, b, c, and r such that the sphere is the largest possible and is completely contained within the first octant.

To find these values, we need to consider that the maximum values of x, y, and z in the first octant are all equal to 1 (since all coordinates are positive). So, we can set a, b, and c to be less than or equal to 1, and r to be the minimum value of a, b, and c.

After some calculations, we can see that the maximum value of r is 1/2 (when a = b = c = 1/2), and the center of the sphere is (1/2, 1/2, 1/2). Therefore, the equation of the largest sphere that is completely contained in the first octant is:

(x-1/2)² + (y-1/2)² + (z-1/2)² = 1/4.

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bTo determine the percent of the original price you end up paying after the discounts, we can calculate the final price as a percentage of the original price.

Let's assume the original price of an item is $100.

The first discount reduces the price by 50%, so the price after the first discount is 50% of the original price, which is $100 * 0.5 = $50.

The second discount of 45% is applied to the price after the first discount. The price after the second discount is 45% of $50, which is $50 * 0.45 = $22.50.

Therefore, the final price you end up paying after both discounts is $22.50.\

To find the percent of the original price you end up paying, we divide the final price by the original price and multiply by 100:

Percent of original price = (final price / original price) * 100

In this case, the final price is $22.50 and the original price is $100:

Percent of original price = ($22.50 / $100) * 100

                       = 0.225 * 100

                       = 22.5%

Therefore, you end up paying 22.5% of the original price after the discounts.

It's important to note that the percent of the original price you end up paying will depend on the original price of the item. The calculations above were based on the assumption that the original price was $100. If the original price is different, the resulting percentage will vary accordingly.

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Answer:

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

Let the radius be r.

Use circumference formula and find the value of r:

Find the area using the circle area formula:

The matching choice is (B).

Answer:

Step-by-step explanation:

The temperature needs to be increased by \(10.8 ^{\circ}F\) for Mrs. Munyai to swim in the pool.

The formula to convert the temperature from Celcius to Fahrenheit is:

\(\textdegree F = (\textdegree C * 1.8) + 32\)

We need to calculate the temperature change of \(6 \textdegree C\) in Fahrenheit:

\(\Delta \textdegree C = 6\\\Delta \textdegree F = \Delta \textdegree C * 1.8 = 10.8\)

The temperature needs to be increased by \(10.8 ^{\circ}F\) for Mrs. Munyai to swim in the pool.

We can calculate the  Fahrenheit temperature of the water and the desired temperature in Fahrenheit:

\(^{\circ}C = 19\\^{\circ}F = (19 * 1.8) + 32 = 66.2\)

\(^{\circ}C = 25\\^{\circ}F = (25 * 1.8) + 32 = 77\)

The current temperature of the pool is \(66.2 ^{\circ} F\) and the desired temperature is \(77 ^{\circ} F\).

Therefore the temperature needs to be increased by:

\(\Delta ^{\circ}F = 77 - 66.2 = 10.8 ^{\circ}F\)

which is the same temperature change we calculated earlier in Fahrenheit.

Therefore, the temperature needs to be increased by \(10.8 ^{\circ}F\) for Mrs. Munyai to swim in the pool.

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Answer:

Step-by-step explanation:

Based on the information, we can infer that the tables are completed as follows: 5, 10, 15, 4, 8.

To complete the table of the ratios we must take into account the information provided in the fragment. According to the above, in box A for every two markers there are 5 pencils and in box B for every three markers there are 4 pencils. Then the ratios would be the following:

Box A

box B

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The rate at which the depth of the liquid is increasing when the depth of the liquid reaches one-third of the height of the bowl is 1.25 cm s⁻¹.

The volume of the liquid in the bowl is given by the following integral:

\(V = \int\limitsx_{0}^{h} \, \pi r^{2}(y) dy\)

where r = radius of the bowl and y = height of the liquid.

The radius of the bowl is equal to the distance from the curve y = (4/(8-x)) - 1 to the y-axis. This can be found using the following equation:

r = √{(4/(8-x)) - 1}² + 1²

The height of the liquid is equal to the distance from the curve y = (4/(8-x)) - 1 to the x-axis. This can be found using the following equation:

h = (4/(8-x)) - 1

Substituting these equations into the volume integral:

\(V = \int\limitsx_{0}^{h } \, \pi {\sqrt{(4/(8-x)) - 1)^{2} + 1^{2} (4/(8-x))} - 1 dy\)

Evaluate this integral using the following steps:

Expand the parentheses in the integrand.

Separate the integral into two parts, one for the integral of the square root term and one for the integral of the linear term.

Integrate each part separately.

The integral of the square root term can be evaluated using the following formula:

\(\int\limits^{b} _{a} \, dx \sqrt{x} dx = 2/3 (x^{3/2}) |^{b}_{a}\)

The integral of the linear term can be evaluated using the following formula:

\(\int\limits^{b} _{a} \, {x} dx = (x^{2/2}) |^{b}_{a}\)

Substituting these formulas into the integral:

V = π { 2/3 (4/(8-x))³ - 1/2 (4/(8-x))² } |_0^h

Evaluating this integral:

V = π { 16/27 (8-h)³ - 16/18 (8-h)² }

The rate of change of the volume of the liquid is given by:

dV/dt = π { 48/27 (8-h)² - 32/9 (8-h) }

The rate of change of the volume of the liquid is 7π cm³ s⁻¹. Also the depth of the liquid is one-third of the height of the bowl. This means that h = 2/3.

Substituting these values into the equation for dV/dt:

dV/dt = π { 48/27 (8-2/3)² - 32/9 (8-2/3) } = 7π

Solving this equation for the rate of change of the depth of the liquid:

dh/dt = 7/(48/27 (8 - 2/3)² - 32/9 (8 - 2/3)) = 1.25 cm s⁻¹

Therefore, the rate at which the depth of the liquid is increasing when the depth of the liquid reaches one-third of the height of the bowl is 1.25 cm s⁻¹.

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Answer:

5(c)

Step-by-step explanation:

The number of chairs are being multiplying by each row.

If you need more help here's info.

Long multiplication is a method of multiplying two numbers which are difficult to multiply easily.

For example, we can easily find the product of 55 × 20 by multiplying 55 by 2 and then adding a 0 at the rightmost place of the answer.

55 × 2 = 110 and 55 × 20 = 1100.

But, many a time finding the product is not this easy. At such times we use the long method of multiplication.

Steps to multiply using Long Multiplication

Multiplying 2-Digit by 2-Digit Numbers

Let us multiply 47 by 63 using the long multiplication method.

1. Write the two numbers one below the other as per the places of their digits. Write the bigger number on top and a multiplication sign on the left. Draw a line below the numbers.

The angle ∠DBC is a right angle divided into two by line segment BE, the resulting angles ∠DBE and ∠EBC are corresponding angles, which means that they add up to 90º, so that:

We know that ∠EBC=64.5º, so replace this measure in the expression above to determine the angle ∠DBE:

Now, ∠ABD and ∠DBC are supplementary, which means that they add up to 180º. We know that ∠DBC is a right angle, so if both angles are supplementary, then ∠ABD must be a right angle too.

Following the angle addition postulate, we can determine that the measure of ∠ABE is equal to the sum of the measures of the angles ∠ABD and ∠DBE, so that:

So angle ∠DBE= 25.5º and ∠ABE=115.5º

Answer:

B and C are correct

Step-by-step explanation:

However, I can still give you some general steps to solve a math problem in 200 words.

Step 1: Read the problem thoroughly and understand what it's asking you to find. This may involve identifying the given information and what you need to find. Also, identify any constraints on the problem, like time or cost.

Step 2: Plan how to solve the problem. Think about what mathematical operations or formulas you can use to find the answer. Make a list of the steps you need to take to solve the problem. Also, determine the units for your answer.

Step 3: Solve the problem. Use the mathematical operations or formulas you've identified in step 2 to find the answer. Show all of your work, including any calculations, so that you can easily check your work later.

Step 4: Check your answer. Make sure that your answer makes sense and that it satisfies any constraints given in the problem. Also, check that your units are correct. If your answer doesn't make sense, go back and review your work to see if you made an error.

Step 5: Reflect on what you've learned. Think about what you did well and what you could improve upon in future problem-solving situations. This will help you become a more effective problem solver in the future.

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Answer:

Step-by-step explanation:

Its the closed dot on 9. i just did the quiz. Your welcome.

Answer: the closed dots on 9 10 11 12 13 14

15

Answer:

18. x=31

19.x=15

20. a. x=5 WXY= 28

b. YXZ=28

c. WXZ=56

The width of the rectangle is 1/9 cm.

The perimeter of the rectangle is 3.2 cm.

A rectangle is a two-dimensional shape where the length and width are different.

The area of a rectangle is given as:

Area = Length x width

We have,

Rectangle:

Area = 1/6 cm²

Length = 1.5 cm

Width = w

Now,

Area = length x width

Perimeter = 2 (length + width)

So,

1/6 = 1.5 x w

w = 1/(6 x 1.5)

w = 1/9 cm

And,

Perimeter.

= 2 (1.5 + 1/9)

= 2 x (13.5 + 1)/9

= 29/9

= 3.2 cm

Thus,

The width of the rectangle is 1/9 cm.

The perimeter of the rectangle is 3.2 cm.

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Hey there!

\(2a/5a\)

Simplfy and remove a to solve.

\(\frac{2a}{5a} =\frac{2}{5}(ANSWER)\)

Hope this helps!

\(\text {-TestedHyperr}\)

The reduction of 2a/5a will be 0.4.

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

Given the expression,

2a/5a

Now by the law of multiplication

(2a/5a) = (2/5)(a/a)

(2a/5a) = 0.4

Hence "The reduction of 2a/5a will be 0.4".

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Complete question :

Birth Month Frequency

January-March 67

April-June 56

July-September 30

October-December 37

Answer:

Yes, There is significant evidence to conclude that hockey​ players' birthdates are not uniformly distributed throughout the​ year.

Step-by-step explanation:

Observed value, O

Mean value, E

The test statistic :

χ² = (O - E)² / E

E = Σx / n = (67+56+30+37)/4 = 47.5

χ² = ((67-47.5)^2 /47.5) + ((56-47.5)^2 /47.5) + ((30-47.5)^2/47.5) + ((37-47.5)^2/47.5) = 18.295

Degree of freedom = (Number of categories - 1) = 4 - 1 = 3

Using the Pvalue from Chisquare calculator :

χ² (18.295 ; df = 3) = 0.00038

Since the obtained Pvalue is so small ;

P < α ; We reject H0 and conclude that there is significant evidence to suggest that hockey​ players' birthdates are not uniformly distributed throughout the​ year.

Answer:

30

Step-by-step explanation:

hope it helps <3

Answer:

30

Step-by-step explanation:

27+30+33 = 90

90/3 = 30

Answer:11.7

Step-by-step explanation:

σ =√137.63265306122

σ= 11.731694381513

Answer:

Option 3.

Step-by-step explanation:

It's not 2 or 4 because those are negative, but the slope is positive. It's not 1 because you can see that it rises 3 units and runs 2 units, making the slope 3/2 instead of 2/3. 3, however, is both positive and has a slope of 2/3.

The value of the inequality |4x - 1| ≥ 23 will be

x ≥ 6.

It should be noted that the inequality given is expressed as:

|4x - 1| ≥ 23

This will be

|4x - 1| ≥ 23

4x ≥ 23 + 1

4x ≥ 24

Divide

4x/4 ≥ 24/4

x ≥ 6

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Answer:

\(\dfrac{dy}{dx}=-y\left(4+\dfrac{1}{x}\right)\)

or written in rational form:

\(\dfrac{dy}{dx}=\dfrac{-4xy-y}{x}\)

Step-by-step explanation:

\(\ln(xy)+4x=45\)

\(\textsf{Apply the product log law}\quad\ln(ab)=\ln(a)+\ln(b):\)

\(\implies \ln(x)+\ln(y)+4x=45\)

\(\textsf{Add}\:\dfrac{d}{dx}\:\textsf{in front of each term}:\)

\(\implies \dfrac{d}{dx}\ln(x)+\dfrac{d}{dx}\ln(y)+\dfrac{d}{dx}4x=\dfrac{d}{dx}45\)

\(\textsf{Differentiate the}\: x \: \textsf{terms and constant terms first}:\)

\(\implies \dfrac{1}{x}+\dfrac{d}{dx}\ln(y)+4=0\)

\(\textsf{When differentiating with respect to}\:y,\: \textsf{differentiate and add}\: \dfrac{dy}{dx}:\)

\(\implies \dfrac{1}{x}+\dfrac{1}{y}\dfrac{dy}{dx}+4=0\)

\(\textsf{Rearrange to make}\:\dfrac{dy}{dx}\:\textsf{the subject}:\)

\(\implies \dfrac{1}{y}\dfrac{dy}{dx}=-4-\dfrac{1}{x}\)

\(\implies \dfrac{dy}{dx}=y\left(-4-\dfrac{1}{x}\right)\)

\(\implies \dfrac{dy}{dx}=-y\left(4+\dfrac{1}{x}\right)\)

If you want it in rational form, then:

\(\implies \dfrac{dy}{dx}=-4y-\dfrac{y}{x}\)

\(\implies \dfrac{dy}{dx}=\dfrac{-4xy-y}{x}\)

\(~~~~~\ln(xy) +4x = 45\\\\\\\implies \dfrac{d}{dx} \left[\ln(xy) +4x \right] = \dfrac{d}{dx} ( 45)\\\\\\\implies \dfrac{1}{xy} \cdot \dfrac{d}{dx} (xy) + 4 = 0\\\\\\\implies \dfrac 1{xy} \left( x\dfrac{dy}{dx} + y \right) +4 =0\\\\\\\implies x\dfrac{dy}{dx} + y + 4xy=0\\\\\\\implies x \dfrac{dy}{dx} =-y-4xy\\\\\\\implies \dfrac{dy}{dx} = \dfrac{-y-4xy}x\)

The area of the right triangle is 18.02 cm².

A right angle triangle is a triangle that has one of its angles as 90 degrees.

The sum of angles in a triangle is 180 degrees.

Therefore, let's find the area of the right angle triangle as follows;

let's find the height and base of the triangle.

using trigonometric ratios,

cos 75 = adjacent / hypotenuse

cos 75 = base / 12

base = 3.10582854123

Therefore,

sin 75 = opposite / hypotenuse

sin 75 = h / 12

height = 11.5911099155

height = 11.59

Therefore,

area of the triangle = 1 / 2 × 3.11 × 11.59

area of the triangle = 36.0483518371 / 2

area of the triangle = 18.0241759186

area of the triangle = 18.02 cm²

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Answer:(-5,1)

Step-by-step explanation:! X= -3 so -3-4= -7, Y= 7 so 7+2=9, So the coordinates will be (-7,9) I hope that I could help you

\(f(x)=x\) for \(x\leq0\), therfore \(f(0)=0\).

the first domain is true for f(0) so we substitute value of x in the first function

\(f(x) = x \\ f(0) = 0\)

From the four options the positively skewed distribution is fourth one.

Hence the correct option is given by (D).

Positively skewed distribution is a distribution with its tail is more pronounced on the right side than it is on the left. Since the distribution is positively skewed, then the value is positive.

The median, mode and other statistical observation data are on left side of the arithmetic mean.

The graph for positively skewed distribution is given by,

Clearly from the given four graphs, fourth graph that is option (D) is looking like positively skewed distribution.

Hence the correct option will be (D).

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