Determine the two positive integers each square root falls between.


10. ✔️28


11. ✔️3


12. ✔️59


13. ✔️115


14. ✔️772


15. ✔️140

The equation in spherical coordinates is:

\($\sin^2(\phi)\cos^2(\theta) + \sin^2(\phi)\sin^2(\theta) + \cos^2(\phi) = 1$\)

What is Equation in Spherical Coordinates?

A mathematical equation that is represented in terms of the spherical coordinates of a point is known as an equation in spherical coordinates. A three-dimensional coordinate system known as spherical coordinates makes use of two angles, typically represented by symbols and a radial distance (r), and a coordinate system to find points in space.

\($r^2 = 81$\)

To represent the equation in spherical coordinates, we substitute the Cartesian coordinates \($x = r\sin(\phi)\cos(\theta)$, $y = r\sin(\phi)\sin(\theta)$, and $z = r\cos(\phi)$\) into the equation. After substitution and simplification, we have:

\($r^2\sin^2(\phi)\cos^2(\theta) + r^2\sin^2(\phi)\sin^2(\theta) + r^2\cos^2(\phi) = 81$\)

Since \(r^2 = 81,\) we can substitute it into the equation:

\($81\sin^2(\phi)\cos^2(\theta) + 81\sin^2(\phi)\sin^2(\theta) + 81\cos^2(\phi) = 81$\)

Finally, we divide the equation by 81 to simplify:

\($\sin^2(\phi)\cos^2(\theta) + \sin^2(\phi)\sin^2(\theta) + \cos^2(\phi) = 1$\)

So, the equation in spherical coordinates is:

\($\sin^2(\phi)\cos^2(\theta) + \sin^2(\phi)\sin^2(\theta) + \cos^2(\phi) = 1$\)

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Answer:

-46

Step-by-step explanation:

Answer:

  (c)  III

Step-by-step explanation:

If you simplify the equations and the left side is identical to the right side, then there are an infinite number of solutions: the equation is true for all values of x.

Another way to simplify the equation is to subtract the right side from both sides. If that simplifies to 0 = 0, then there are an infinite number of solutions.

__

  2x -6 -6x = 2 -4x . . . . eliminate parentheses

  -4x -6 = -4x +2 . . . . no solutions (no value of x makes this true)

__

  x +2 = 15x +10 +2x . . . . eliminate parentheses

  x +2 = 17x +10 . . . . one solution (x=-1/2)

__

  4 +6x = 6x +4 . . . . eliminate parentheses

  6x +4 = 6x +4 . . . . infinite solutions

__

  6x +24 = 2x -4 . . . . eliminate parentheses; one solution (x=-7)

Answer:

0

Step-by-step explanation:

Answer:

1/2

Step-by-step explanation:

12 / 24 = 1/2

Answer:

12/24

Step-by-step explanation:

use the stander rise over run since the rise is 12 it goes over the run which is 24

The correct answer is D. $2.75 / $3.24

To determine how much you should expect to pay for gas in Philadelphia versus Cleveland, we need to compare the transportation expenses in both cities. Based on the given data, the transportation expenses are as follows:

Philadelphia: $117

Cleveland: $106

To calculate the expected gas prices, we need to consider the transportation expenses relative to the national average. The formula to find the expected gas price is:

Expected Gas Price = National Average * (Transportation Expense / National Average)

National Average for gas = $2.59

For Philadelphia:

Expected Gas Price in Philadelphia = $2.59 * ($117 / 92) ≈ $3.30

For Cleveland:

Expected Gas Price in Cleveland = $2.59 * ($106 / 78) ≈ $3.51

Comparing the expected gas prices, we find that:

A. $3.03 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.

B. $1.95 / $2.59: This option does not match the expected gas prices in Philadelphia and Cleveland.

C. $2.34 / $2.75: This option does not match the expected gas prices in Philadelphia and Cleveland.

D. $2.75 / $3.24: This option matches the expected gas prices in Philadelphia and Cleveland.

Therefore, the correct answer is:

D. $2.75 / $3.24

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Expression which represents the amount of money spend by each woman is equal to [ 9 + 1.35 + (one- half)(3.50 + 1.74)].

As given in the question,

Condition for the expression:

Sally and Anne both went for a movie.

Each one purchased a drink.

Shared one popcorn and one veggie bought by them.

Consider movie ticket price = 9

drink price = 1.35

Popcorn price = 3.50

Veggie price = 1.74

Explanation for different expressions are:

1. one-half (9 + 1. 35 + 3. 50 + 1. 74)

Here sum of all the amount is divided equally, which is not correct as movie ticket and drink they have purchased individually.

2.  9 + 1. 35 + one-half (3. 50 + 1. 74)

This is correct option as it represents :

Movie ticket price = 9

Drink = 1.35

one-half (3. 50 + 1. 74) = one popcorn and one veggie divided equally.

3. 18 + 2. 70 + one-half (3. 50 + 1. 74)

As per consideration of price this is not correct option.

Movie ticket price =18

Drink = 2.70

one-half (3. 50 + 1. 74) = one popcorn and one veggie divided equally.

4. 9+1. 35+2(3. 50+1. 7)

This is not correct option as popcorn and veggie price is doubled.

Therefore, expression which represents the amount of money spend by each woman is equal to [ 9 + 1.35 + (one- half)(3.50 + 1.74)].

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An understanding of Boolean algebra is important to computer scientists because it provides the basis for logical operations that are used in computer programming and digital electronics.

Boolean algebra is a branch of mathematics that deals with binary variables and logic gates. Computer scientists use Boolean algebra to design and analyze digital circuits and logic gates, as well as to create programming languages and algorithms. The ability to understand and apply Boolean algebra is crucial for computer scientists in order to develop efficient and reliable software and hardware systems.
Boolean algebra deals with binary values (true/false or 1/0) and uses logical operations like AND, OR, and NOT to manipulate them. Computer scientists use these concepts in programming, data structures, algorithms, and optimization. By mastering Boolean algebra, computer scientists can create efficient and reliable software and hardware systems.

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Answer:

The answer to this question is --> 0.40

Step-by-step explanation:

simply do the division.

as a fraction is basically nothing else than a division of the upper number by the lower number.

2 divided by 5

2/5 = 0.4

remember, how division works :

first the outmost left digit(s) divided by the digits of the right number. we use the same number of digits on both sides.

2 / 5 = 0

the first step gives us a 0, because 2 cannot be divided by 5.

then we pull down the next digit from the left side.

if we don't have any (as in this case), we simply pull a 0.

20 / 5 = 0.4

when we pull digits on the left side after the decimal point, then the result gets the decimal point exactly at that position.

20/5 = 4, so the 4 goes into the first position after the decimal point.

and therefore, the final result is

2/5 = 0.4

Answer:

41,257

Step-by-step explanation:

100,000

-

58,743

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

41,257

The amount that is needed to reach the goal is $41257 if the annual fundraising goal of a college is $100,000. so far $58,743 has been raised.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

It is given that:

The annual fundraising goal of a college is $100,000.

Let x be the amount that is needed to reach the goal.

The linear equation in one variable can be framed as follows:

x + 58,743 = 100,000

x = 100,000 - 58,743

x = $41257

Thus, the amount that is needed to reach the goal is $41257 if the annual fundraising goal of a college is $100,000. so far $58,743 has been raised.

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Answer:

25cm

Step-by-step explanation:

To find the width, multiply the length that you have been given by 2, and subtract the result from the perimeter. You now have the total length for the remaining 2 sides. This number divided by 2 is the width.

Answer:

4 square root 2

Step-by-step explanation:

i just know

the equation \(\[\frac{1}{\sqrt{2}} +\frac{3}{\sqrt{8}} + \frac{6}{\sqrt{32}}.\]\) can be written as 2√2

A collection of numbers and operations is an expression in mathematics. The following are the parts of a math expression that do a math operation:

Operator: An operator is a symbol that denotes a math operation, such as:

division, addition, subtraction, and multiplication.

Given an equation \(\[\frac{1}{\sqrt{2}} +\frac{3}{\sqrt{8}} + \frac{6}{\sqrt{32}}.\]\\\)

Simplifying this equation

=>  1/√2 + 3 / 2* √2  + 6 /4√2

taking 1/√2 Common

=> 1/√2 (1 + 3/2 + 6/4)

=> 1/√2 (4)

=> 4/ √2

=> 2√2

therefore, the given equation can also be written as 2√2.

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Answer:

to use the money when in an emergency

The solution set of the given homogeneous system in parametric vector form is (x1,x2,x3)=(s,-2,-5)

Parametric vector form:

If there are m-free variables in the homogeneous equation, the solution set can be expressed as the span of m vectors:

x = s1v1 + s2v2 + ··· + sm vm. This is called a parametric equation or a parametric vector form of the solution.

A common parametric vector form uses the free variables as the parameters s1 through sm

Given is a system of equations

We are to solve them in parametric form.

x1 + 3x2 + x3 = 0 --------(1)

-4x1 + 9x2 + 2x3 = 0 ---------(2)

-3x2 - 6x3 = 0--------(3)

From equation(3)

-3x2=6x3

x2=-2x3

substitute in equation(1) and equation(2)

x1+3(-2x3)+x3=0

x1-6x3+x3=0

x1-5x3=0

x1=5x3

So the solution in parametric form is (x1,x2,x3) = (s,-2,5) for all real values.

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m= (6- 3)/ (-5 -1)

2x - y + 11= 0

Step-by-step explanation:

It's given that A = 30° . Lets find the sin , cos & tan of A

⇒ \(\sin A=\sin30 = \frac{1}{2}\)

⇒ \(\cos A = \cos 30 = \frac{\sqrt{3} }{2}\)

⇒\(\tan A = \tan 30 = \frac{1}{\sqrt{3} }\)

Lets solve the LHS (Left Hand Side) :-

\(2(\sin A \times \cos A) = 2(\frac{1}{2} \times \frac{\sqrt{3} }{2}) = \frac{\sqrt{3} }{2}\)

Now lets solve the RHS (Right Hand Side) :-

\(\frac{2\tan A}{1+\tan ^{2}A } = \frac{2 \times \frac{1}{\sqrt{3} } }{1 + (\frac{1}{\sqrt{3} } )^{2} } = \frac{2}{\sqrt{3} } \div ( 1 + \frac{1}{3} ) = \frac{2}{\sqrt{3} }\div \frac{4}{3} = \frac{2}{\sqrt{3} } \times\frac{3}{4} =\frac{\sqrt{3} }{2}\)

∴ LHS = RHS ( Proved )

Answer:

$9.10

Step-by-step explanation:

Answer:

9.10

Step-by-step explanation:

1.95/3=0.65

0.65x14=9.10

The alpha level for each hypothesis test made on the same set of data is called B. experimentwise alpha

When numerous suppositions are examined concurrently, the likelihood of committing at least one type I mistake grows.

In order to manage the probability of erroneously rejecting the null hypothesis in all tests, scientists usually modify the alpha level for each test, with the purpose of maintaining an experimentwise alpha that reflects the probability of making a type I error in the entire set of tests.

The Bonferroni procedure is a technique utilized to regulate the experimentwise error rate by adjusting the alpha level for each hypothesis test.

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The volume (V) of the solid obtained by rotating the region bounded by the curve y = (6/7)x^2 about the x-axis is V = π[((9/245)b^5) - ((9/245)a^5)].

the volume (V) of the solid obtained by rotating the region bounded by the curve y = (6/7)x^2 about the x-axis is (2/3)π[(13/7) * sqrt(13/7)] cubic units.

To find the volume (V) of the solid obtained by rotating the region bounded by the curve y = (6/7)x^2 about the x-axis, we can use the disk method. Here's a step-by-step explanation:

1. Identify the function: y = (6/7)x^2

2. Determine the limits of integration: Since we are not given specific bounds, let's assume the region is defined between x=a and x=b.

3. Set up the integral for the disk method: V = π∫[f(x)]^2 dx, where f(x) = (6/7)x^2.

4. Substitute the function and limits into the integral: V = π∫[a to b] [(6/7)x^2]^2 dx

5. Simplify the integral: V = π∫[a to b] (36/49)x^4 dx

6. Integrate to x: V = π[(9/245)x^5]∣[a to b]

7. Evaluate the definite integral: V = π[((9/245)b^5) - ((9/245)a^5)] So, the volume (V) of the solid obtained by rotating the region bounded by the curve y = (6/7)x^2 about the x-axis is V = π[((9/245)b^5) - ((9/245)a^5)].

To find the volume V of the solid obtained by rotating the region bounded by the curve y = 13/7 − x2  about the x-axis. Let us consider a region bounded by the curve y = 13/7 − x2 and the x-axis.Let us rotate this region about the x-axis to obtain a solid with a volume.The region bounded by the curve y = 13/7 − x2 and the x-axis is shown below:We need to integrate to find the volume V of the solid obtained by rotating the region bounded by the curve y = 13/7 − x2  about the x-axis. The volume of the solid is given by: V = ∫(π.y2)dx, where y = 13/7 − x2Integrating V, we get: V = π ∫ (13/7 − x2)2 dx Let us evaluate the integralπ ∫ (13/7 − x2)2 dx= π [(13/7) * x - (1/3) * x3] limits from -sqrt(13/7) to +sqrt(13/7))= π [(13/7) * sqrt(13/7) - (1/3) * (13/7)3/2] - π [-(13/7) * sqrt(13/7) - (1/3) * (13/7)3/2]= (2/3)π[(13/7) * sqrt(13/7)] cubic unitsTherefore, the volume of the solid is (2/3)π[(13/7) * sqrt(13/7)] cubic units.

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The myth about stemplots is that they can never use the same stem digit twice, thus the correct option to this question is B.

A stem and leaf plot, often known as a stem plot, is a method for categorizing discrete or continuous variables. As data are gathered, they are organized using a stem and leaf plot.

A stem and leaf plot resembles a bar graph in appearance. The name stems from the fact that each number in the data is divided into a stem and a leaf. The number's last digit is not part of the stem. The number's leaf will always be one digit.

A stem and leaf diagram has the benefit of providing a clear depiction of data. A frequency histogram has the benefit of being visually appealing. In big data sets, histograms are typically preferred to stem and leaf diagrams. A stem and leaf diagram's visual lack is an issue.

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The teacher requires 1.5 gallons of paint for the whole class

Quantity of paint available with the teacher = 1 gallon

Fractions: In mathematics, a fraction is represented by a number that identifies a portion of a whole. A fraction is a component or section taken from a whole, which can be any number, a certain amount, or an object.

Portion of the class covered by 1 gallon of paint = 2/3 class

Let x represent the whole class

Formulating the equation:

The portion of the class covered out of the whole class*Total class = Paint required for the portion of the class

So, for 2/3x = 1

x = 3/2

x = 1.5 gallon

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Answer:

integers have signs like -&+ while whole numbers are ALWAYS positive

When the radius of pie chart B is 6.4 cm, the radius of pie chart A is approximately 3.2 cm.

To determine the radius of pie chart A, we can set up a proportion based on the given data.

The data states that the number of pupils represented by pie chart B is 400, and the number of pupils represented by pie chart A is 100. Let's denote the radius of pie chart A as 'r' (in centimeters).

We can set up the following proportion:

(π * r^2) / (π * (6.4)^2) = 100 / 400

Simplifying the equation, we have:

r^2 / (6.4)^2 = 100 / 400

r^2 / 40.96 = 0.25

r^2 = 40.96 * 0.25

r^2 = 10.24

Taking the square root of both sides, we find:

r = √10.24

r ≈ 3.2 cm

Therefore, when the radius of pie chart B is 6.4 cm, the radius of pie chart A is approximately 3.2 cm.

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Answer: The answers are in order

6(n-9)=54

5x=35

3x-6

1/2(y+12)=7

Step-by-step explanation:

Answer:

R = 350 lbs (up)

Answer:

D

Step-by-step explanation:

Firat, anything going up to the right is a positive over a positive, so right away you know it is either A or D.

Second, slope is rise over run. You see the line goes through (0,0) and also (2,3) so the rise (change in Y values) is 3 and the run (change in X values) is 2. so it is 3/2r.

To find the slope mathematically, you would do it like this:

y1 - y2

---------

x1 - x2

so you would have a slope of

3-0

-----

2-0

which would give you 3/2.

this method works best when the line doesn't go neatly though easy points like the origin.

RCTs are considered one of the gold standards for evaluating the effectiveness of medical interventions because they can provide strong evidence of causality.

The study described in the question is a randomized controlled trial (RCT). An RCT is a type of experimental study where participants are randomly assigned to different groups, and the effect of an intervention is evaluated by comparing outcomes between the groups. In this case, the intervention is the type of treatment (surgery vs radiation therapy), and the outcome of interest is the mortality rate after 2 years.

Random assignment of patients to treatment groups helps to reduce the influence of confounding variables and biases, thus allowing a more accurate assessment of the intervention's effects. In addition, by following patients over a specific period of time, the study can provide information about the long-term effects of the treatment.

Overall, RCTs are considered one of the gold standards for evaluating the effectiveness of medical interventions because they can provide strong evidence of causality.

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Answer:

Step-by-step explanation: 3×6+1,3×6 is 18+1 is 19/6 is your answer

The would have to drive 240 miles to make the trip from New York City, NY, to Washington, DC, based on the given map ratio and the distance of 14.4 centimeters.

To determine the number of miles Theo would have to drive from New York City, NY, to Washington, DC, we can use the given ratio and the distance on the map.

The ratio provided is StartFraction 3 centimeters over 50 miles EndFraction.

Let's denote the actual distance to be determined as x miles.

According to the given ratio, we can set up the proportion:

StartFraction 3 centimeters over 50 miles EndFraction = StartFraction 14.4 centimeters over x miles EndFraction.

To solve the proportion, we can cross-multiply:

(3 centimeters) * x miles = (50 miles) * (14.4 centimeters).

Simplifying the equation:

3x = 720.

Dividing both sides by 3:

x = 240.

Therefore, Theo would have to drive 240 miles to make the trip from New York City, NY, to Washington, DC, based on the given map ratio and the distance of 14.4 centimeters.

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Answer:

Yessss

Step-by-step explanation:

I'm onlineeeee