Determine whether an observational study or an experimental study is used.A survey of high school students was conducted to see if students who take advanced classes are offered more scholarship money than students who do not take advanced classes

The surface area of the cone with the given parametric equation is (4π + 4π√2) square units.

The parametric equations describe a cone that is generated by rotating a line segment in the xy-plane about the x-axis. The result is a 3-dimensional surface that has a circular base with radius 2 and a height of 2.

The surface area of the cone can be calculated using the formula:

A = πr^2 + πrs

where r is the radius of the circular base and s is the slant height.

The slant height is equal to the distance from the center of the circular base to the tip of the cone, which can be calculated using the Pythagorean theorem: s = √(h^2 + r^2), where h is the height of the cone.

Therefore, for this cone with radius 2 and height 2, the surface area can be calculated as:

A = πr^2 + πrs

= π * 2^2 + π * 2 * √(2^2 + 2^2)

= 4π + 4π√2

To know more on parametric equations of cone

https://brainly.com/question/28196959

#SPJ4

They are the set of numbers and symbols that are related by the different mathematical operation signs such as addition, subtraction, multiplication, division among others.

According to the data problem,

At the end of 46 week the city will have: 132 streetlight + (4 streetlight/ week * 46 weeks)

At the end of 46 week the city will have: 132 streetlight  + 184 streetlight

At the end of 46 week the city will have: 316 streetlight

232 streetlight at the end of the week = (232 streetlight - 132 streetlight) / 4 streetlight /week

232 streetlight at the end of the week = 100 streetlight /4 streetlight /week

232 streetlight at the end of the week = 25 weeks

Learn more about algebraic operations at: brainly.com/question/3927786

#SPJ4

Correctly written question:

A city currently has 132 streetlights. As part of an urban renewal program, the city council has decided to install 4 additional streetlights at the end of each week for the next 52 weeks. Use this information to complete the following statements. Round to the nearest whole number as needed. The city will have (blank) streetlights at the end of 46 weeks. The city will have 232 streetlights at the end of (blank) week

True, Frustrated Freight is any freight or shipment that it has been halted from moving.

Generally speaking, the elements that make a bundle quit moving or being shipped to the normal beneficiary are issues to do with marking, bundling, as well as making.

Frustrated Freight alludes to products that can't be conveyed to the expected beneficiary because of different reasons like an erroneous location, beneficiary inaccessibility, or harm during travel.

This can prompt the shipment never arrive at its expected objective, causing disillusionment for the shipper and beneficiary, and possibly bringing about monetary misfortunes.

Learn more about goods delivery issues:

https://brainly.com/question/29634334

#SPJ4

Based on the given expression representing each angle, the value of x is 47 and each angles are 135° and 45° respectively.

Based on the given diagram; the angles represented by the expression are referred to as supplementary angles.

So, we can find the unknown variable x by adding the expressions and equating it to 80°

(3x - 6) + (x - 2) = 180

3x - 6 + x - 2 = 180

combine like terms

3x + x - 6 - 2 = 180

4x - 8 = 180

Add 8 to both sides

4x = 180 + 8

4x = 188

divide both sides by 4

x = 188/4

x = 47

Therefore, the respective angles are;

3x - 6

= 3(47) - 6

= 141 - 6

= 135°

x - 2

= 47 - 2

= 45°

Read more on supplementary angles:

https://brainly.com/question/2046046

#SPJ1

The volume of the solid is approximately equal to 441.75 π cubic units.

The volume of the solid can be found using the disk method of integration. To set up the integral, consider a disk of height 'h' and radius 'r' at position y. The volume of this disk is given by πr^2h, and the radius 'r' is equal to 9 - y. Therefore, the volume of the solid is given by the following triple integral:

[tex]V = \int\{\pi(9 - y)^2dy} \int\,dh \int\,dx[/tex]

Where the limits of integration are:

So, the final expression for the volume is:

[tex]V = \int\limits^{9}_{y=0} \int\limits^{x}_{h=0} \int\limits^{9}_{x=0} \pi (9 - y)^2 dh dx dy[/tex]

Evaluating the integral gives:

[tex]V = \pi \int\limits_{y=0}^{9} (9 - y)^2dy \int\limits_{h=0}^{x} dh \int\limits_{x=0}^{9} dx[/tex]

[tex]= \pi \int\limits_{y=0}^{9} (81 - 18y + y^2)dy \int\limits_{h=0}^{x} dh \int\limits_{x=0}^{9} dx[/tex]

[tex]= \pi \int\limits_{y=0}^{9} (81 - 18y + y^2)dy (x^2/2) dx[/tex]

[tex]= \pi /2 \int\limits_{y=0}^{9} (81 - 18y + y^2)dy (x^2) dx[/tex]

[tex]= 441.75 \pi[/tex]

Hence, the volume of the solid is approximately equal to 441.75 π cubic units.

Learn more about the disk method of integration here:

https://brainly.com/question/13993335

#SPJ4

Answer:

[tex]\boxed{21.691} \; feet[/tex]

Step-by-step explanation:

See attached figure

The power cable going south first by 50 feet and then going west by 30 feet form the legs of a right triangle.

The diagonal which is the shortest distance between start and end points can be computed by the Pythagorean theorem

[tex]c^2 = a^2 + b^2[/tex]

where c is the hypotenuse and a, b the other two sides

Plugging in values for a = 50 and b = 30 we get

[tex]c^2 = 50^2 + 30^2\\\\c^2 = 2500 + 900\\\\c^2 = 3400\\\\c = \sqrt{3400}\\\\c = 58.3095 \;feet[/tex]

The cable length if going south and then west will be 50 + 30  = 80 feet

So cable length saved = 80 - 58.3095 = 21.6905

Rounded to 3 decimal places this would be 21.691 feet

Answer:

By using the Pythagorean Theorem, we can calculate that the diagonal of the city block is approximately 58.3 feet long. This means that the power company could save 7.3 feet of powerline cable by running the powerlines across the diagonal of the city block, instead of around the south and west sides.

Answer:

A

Step-by-step explanation:

angle 1+ angle 2 =180

so  2x-6+4x =180

6x =186

x =31

angle 1 = 2x-6 =31*2-6=62-6 = 56

angl2 =4x =31*4 =134

Answer:

13.2cm

Step-by-step explanation:

The surface area of the sphere=4πr∧2

take r as radius, so you have to find the diameter. which means d/2=r

So,

4*22/7* (d/2)²=544

d=13.15

to the first decimal place= d= 13.2 cm.

Answer:

factors

Step-by-step explanation:

To find the roots of a polynomial, it is often useful to find the Factors of the polynomial.

The minimum value of the function C = x - 2y at the vertex point (1,0) is 1.

So, when we substitute x = 1 and y = 0 into the function, we get:

C = 1 - 2 * 0 = 1.

Therefore, the minimum value of the function is 1.

The x and y coordinates switch places and are negated if you reflect over the line y = -x (the signs are changed). Point on the line y = x (y, x).

To learn more about Reflection, refer to:

https://brainly.com/question/26494295

#SPJ4

The fraction that is equal to 0.84 repeating is 8/9 in simplest form.

If the top and bottom have no common components other than 1, the fraction is in its simplest form. In other words, the top and bottom cannot be divided any further and still remain full numbers. You may sometimes hear the phrase "lowest words" when referring to the simplest form.

0.84 repeating can be represented as a fraction in simplest form by using the following method:

Let x = 0.84 repeating,

Then 10x = 8.4 repeating.

Subtracting the two equations,

we have 9x = 8.

Dividing both sides by 9,

we have x = 8/9.

For more questions on Fractions

https://brainly.com/question/17220365

#SPJ4

The heights of the bars of a histogram correspond to Frequency values.

A histogram is a type of graph used to show the distribution of a dataset. It is used to display the frequency of values within the data set by depicting the number of observations that fall within a set of ranges.

The heights of the bars of a histogram correspond to the frequency of values within the data set.

A histogram is used to illustrate the distribution of data within a set by showing the number of data points that fall within a specified range of values (called bins).

The height of each bar in the histogram represents the frequency of values within the bin range. A taller bar indicates that more data points fall within that range. The area of each bar is also proportional to the frequency of the values in the bin.

To know more about histogram, click on the link below:

brainly.com/question/30354484

#SPJ4

The simplified value of the expression - 10 + 1 + (- 6). - (15 - 17 - 35) is 20.

PEMDAS rule states the correct order of simplifying an expression is as follows -: Parenthesis, exponents, multiplications, divisions, additions, and, subtractions.

Given, An expression - 10 + 1 + (- 6). - (15 - 17 - 35).

Now, If any of the arithmetic operations are not present we'll simply do the next and we'll also distribute the negative and positive signs.

- 10 + 1 + (- 6). - (15 - 17 - 35).

= - 10 + 1 - 6 - 15 + 15 + 35.

= - 9 - 21 + 50.

= - 30 + 50.

= 20.

learn more about the PEMDAS rule here :

https://brainly.com/question/20876480

#SPJ1

The domain is all x-values or inputs of a function & the range is all y-values or outputs of a function.

The numbers you supply to the function are referred to as the domain. The numbers it returns to you are referred to as the "range."

Take y=3x as an illustration. The domain of this function is "all real numbers," so you can substitute any number you like for x. (or everything from negative infinity to positive infinity, if you like). Furthermore, as you can probably guess, any actual number could result from it. (You desire the release of a specific real-world number. To get there, enter x as one-third of that number. As a result, "all real numbers" are included in this function's range.

Learn more about domain and range

https://brainly.com/question/28135761

#SPJ4

The value of the sum of the series is 42

In an arithmetic series, the sum of the first "n" terms (Sn) is given by the formula:

Sn = n/2 * (a1 + an)

Where "a1" is the first term and "an" is the nth term.

In this series, a1=3 , an=3 , n=14

Plugging these values into the formula, we get:

Sn = 14/2 * (3 + 3)

= 14/2 * 6

= 7 * 6

= 42

So, the sum of the first 14 terms of the arithmetic series is 42

Read more about sequence at

https://brainly.com/question/29431864

#SPJ1

A domain of discourse for a domain integer statement is,

(a) True : x ≥ 0 and False x < 0

(b) True : x ≠ z ≠  y and False x ≠ y =  z

A zero, a positive natural number, or a negative integer with a minus sign is an integer. The negative numbers are the additive inverses of their positive counterparts.

An integer, also called a "round number" or “whole number,” is any positive or negative number that does not include decimal parts or fractions. For example, 3, -10, and 1,025 are all integers, but 2.76 (decimal), 1.5 (decimal), and 3 ½ (fraction) are not.

(a) ∀x∃y( [tex]y^{2}[/tex] ≥  x)

[tex]y^{2}[/tex] ≥ 0

When x ≥ 0 , [tex]y^{2}[/tex] = x is True.

When x < 0 , without  [tex]y^{2}[/tex] = x is True.

(b) ∀x∀y(x < y → ∃z(x < z < y)

When x ≠ z ≠  y ,  x < z < y is True.

When z = x or z = y , x < z < y is False.

When x = y and x = z , y = z

Therefore,

A domain of discourse for a domain integer statement is,

(a) True : x ≥ 0 and False x < 0

(b) True : x ≠ z ≠  y and False x ≠ y =  z

To learn more about Integer problems visit :

brainly.com/question/30410577

#SPJ4

15mL is also equivalent to one tablespoon.

To learn more about equivalent refer to:

https://brainly.com/question/24734894

#SPJ4

The length longer diagonal is 174 cm.

In a rhombus, the diagonals bisect each other as well as the the vertex angles and adjacent angles are supplementary

So assuming that the 70 degree angle is opposite the 122 cm diagonal, we have

(1/2 length of the shorter diagonal) / sin (35)  = (1/2 length of the longer diagonal) / sin(55)

Multiply both sides by 2

( length of the shorter diagonal) / sin (35)  = ( length of the longer diagonal) / sin(55)

Multiply both sides by sin(55).

Length of the longer diagonal = sin (55) (122 cm) / sin (35) = 174 cm

Therefore, the length of the longer diagonal is 174 cm.

Learn more about diagonal of a rhombus here:

https://brainly.com/question/4768783

#SPJ12

The probability of the other child being a girl is 1/2

From the question, we have the following parameters that can be used in our computation:

Kids = 2

Girls = 1

The probability of the other child being a girl is calculated as

Probability = Girl/Kids

Substitute the known values in the above equation, so, we have the following representation

Probability = 1/2

Hence, the probability is 1/2

Read more about probability at

https://brainly.com/question/251701

#SPJ1

The limit of f(x) as x approaches positive infinity and negative infinity is equal to 3/4, and the horizontal asymptote of the function is y=3/4.

The horizontal asymptote of a function is a horizontal line that the function approaches as x approaches infinity or negative infinity.

The function f(x) is given by

=> f(x)= 3x³ + 8/4x³ + √ 64x⁶⁴.

To evaluate the limits, we need to consider what happens as x approaches positive infinity and negative infinity.

In this case, as x approaches positive infinity or negative infinity, the x³ term in the numerator and denominator will dominate and the limit of the function will be equal to 3/4.

This means that the function has a horizontal asymptote of y=3/4.

To know more about function here.

https://brainly.com/question/28193995

#SPJ4

Answer:$3.35

subtract 10.00 - 6.65

You will get $3.35

sssssssssaStep-by-step explanation:

The statement "if v in R3 and v · v = 0, then v is the zero vector" is true

In mathematics, a vector is an ordered tuple of numbers or scalars that can be used to represent a quantity that has both magnitude and direction. Vectors are used to model physical quantities such as displacement, velocity, and force, among others.

Here we have given that if v in r 3 and v · v = 0, then v is the zero vector.

It is true because if the dot product of a vector with itself is zero, it means that the magnitude of the vector is zero and thus it is the zero vector. Understanding the concept of a zero vector and its relationship with other vectors is important in mathematics and physics.

To know more about vector here.

https://brainly.com/question/29740341

#SPJ4

The average value of the function f(x) = x² - 8x + 6 on [0, 4] is 38.

The two primary divisions of calculus, differential calculus and integral calculus, are concerned with rates of change and slopes of curves.

By dividing the definite integral of the function over the interval by the length of the interval, one can determine the average value of a function over the interval [a, b].

The function in this instance is f(x) = x3 - 8x + 6, and the range is [0, 4]. Using the definite integral of x3 and the definite integral of -8x, one can determine the definite integral of the function across the interval:

[tex]\int\limits^0_4 {x^{3} - 8x + 6 } \, dx[/tex]

= [tex]\frac{x^4}{4} - \frac{8x^2}{2} + 6x[/tex]

evaluated at x = 4 - x = 0 = [tex]0 - \frac{4^{4} }{4} - \frac{8.4^2 }{2} + 6.4\\[/tex]

= - 24

The length of the interval is b - a = 4 - 0 = 4. Hence, the average value of the function over the interval is given by:

Therefore, the average value of the function f(x) = x^3 - 8x + 6 on [0, 4] is 38.

To learn more about calculus, Visit

brainly.com/question/24430269

#SPJ4

The convert acres to miles 0.0015625.

What is meant by miles ?

To learn more about miles refer to

https://brainly.com/question/25631156

#SPJ4

The second one because it passes through (0,0)