4 .3
is V = πr³, wh
3
what is the formula in terms of r? please help

The vector function is, r(t) =  [tex]\bold{ < t,2t^2,9t^2+4t^4 > }[/tex]

Given two surfaces for which the vector function corresponding to the intersection of the two need to be found.

First surface is the paraboloid, [tex]z=9x^2+y^2[/tex]

Second equation is of the parabolic cylinder, [tex]y=2x^2[/tex]

Now to find the intersection of these surfaces, we change these equations into its parametrical representations.

Let x = t

Then, from the equation of parabolic cylinder,  [tex]y=2t^2[/tex].

Now substituting x and y into the equation of the paraboloid, we get,

[tex]z=9t^2+(2t^2)^2 = 9t^2+4t^4[/tex]

Now the vector function, r(t) = <x, y, z>

So r(t) = [tex]\bold{ < t,2t^2,9t^2+4t^4 > }[/tex]

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Answer:

your your question is wrong please make sure

The inequality 20 ≥- 3.2(c - 4.3) can be represented as c  ≥ -1.95

The inequality is given as:

20 ≥- 3.2(c - 4.3)

Divide both sides of the inequality by -3.2

So, we have:

20/-3.2 ≥ -3.2(c - 4.3)/-3.2

Evaluate the quotient

-6.25 ≤ (c - 4.3)

Remove the bracket in the above inequality

So, we have:

-6.25 ≤ c - 4.3

Rewrite the above inequality as

c - 4.3 ≥ -6.25

Add 4.3 to both sides of the inequality

c  ≥ -1.95

This means that the inequality 20 ≥- 3.2(c - 4.3) can be represented as c  ≥ -1.95

See attachment for the graph of the inequality

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In linear equation , 7x=30   is equivalent to 5x-x+3x=30​.

What in mathematics is a linear equation?

5x -x + 3x =30,  first you combine like terms 5x + 3x-x=30

8x-x =30

7x=30

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Answer: I would say 1 gallon

Step-by-step explanation: 1 gallon because 1 gallon would be closer then a shower or a cup

gradient, in mathematics, a differential operator applied to a three-dimensional vector-valued function to yield a vector whose three components are the partial derivatives of the function with respect to its three variables. The symbol for gradient is ∇.

Electrical potential acting on an ion and driving it in one direction or another is the definition of an electrical gradient..

The migration of particles (solutes) from a region of higher concentration to a region of lower concentration, separated by a membrane, is referred to as a concentration gradient.

An ion can travel across a membrane depending on the concentration of a solute thanks to an electrochemical gradient, which combines an electrical gradient with a concentration gradient.

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Answer:

2. D, E, and F

Step-by-step explanation:

Points lie on the same straight line also called euclidean geometry.

The percentage change is 2.1%

The Yankees won 95 games in 2010

They also won 97 games in 2011

Therefore the percentage change can be calculated as follows

= 97 - 95/97 × 100

= 2/97 × 100

= 0.021 × 100

= 2.1

Hence the percentage change is 2.1%

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The equation that represents the price of a student ticket will be 54 = x/4 + 25. Sara's spend for a student ticket will be $116.

The allocation of values to the parameters that produce the calculation's balance is known as an outcome.

Sara and her mom are planning to attend the symphony. An adult ticket is $54. A ticket for 1/4 an adult costs $25 more than it would be for a student.

Let x be the amount of pay for student's tickets. Then the equation will be

54 = x / 4 + 25

Simplify the equation, then we have

x / 4 = 54 - 25

x / 4 = 29

x = $116

The equation that represents the price of a student ticket will be 54 = x/4 + 25. Sara pays for a student ticket will be $116.

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Use headlights between sunset and sunrise and at any time when visibility is less than 500 feet to 1000 feet: TRUE

Therefore, the statement "use headlights between sunset and sunrise and at any time when visibility is less than 500 feet to 1000 feet" is TRUE.

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The correct question is given below:
Use headlights between sunset and sunrise and at any time when visibility is less than 500 feet to 1000 feet. TRUE or FALSE

Answer:

1.72m is height of man

Step-by-step explanation:

since we know tan60°=[tex]\sqrt{3}[/tex];

then here tan60°=height/base;

height =64-height of man (let be x)

base=36;

now

[tex]\sqrt{3}[/tex]=[tex]\frac{64-x}{36\\}[/tex]

x=64-36[tex]\sqrt{3}[/tex]

x=1.72 m

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Answer: Answer is 4(16 - 9[tex]\sqrt{3}[/tex])

Step-by-step explanation: Concept:

The term angle of elevation denotes the angle from the horizontal upward to an object. An observer’s line of sight would be above the horizontal.

tan θ = [tex]\frac{opposite}{adjacent}[/tex]

tan 60 =[tex]\sqrt{3}[/tex]

Given:

It is given that AB is the height of the man, the angle of elevation is 60°, the distance from the man to the tower BC is 36 m and the height of the tower is 64 m.

The height of the man AB.

In ΔADE

tan 60 = [tex]\frac{ED}{AD}[/tex]

[tex]\sqrt{3}[/tex] = [tex]\frac{ED}{36}[/tex]

36 [tex]\sqrt{3}[/tex] = ED

Now,

DC=CE-CD

CD = 64 -36  [tex]\sqrt{3}[/tex]

CD = 4(16 - 9  [tex]\sqrt{3}[/tex])

Now, given that  AB=CD

Therefore, The height of the man is 4(16 - 9[tex]\sqrt{3}[/tex])

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Answer:

42

Step-by-step explanation:

x + x + 2 + x + 4 = 120

3x + 6 = 120

3x = 114

x = 114/3

x = 38

38, 40, 42

The three integers are 38, 40, and 42.

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Given that the sum of three consecutive even integers (3 integers in a row) is 120. The value of integers will be calculated as below:-

x + x + 2 + x + 4 = 120

3x + 6 = 120

3x = 114

x = 114/3

x = 38

1st integer = x = 38

2nd integer = x+2 = 38 + 2 =  40

3rd integer = x+4 = 38 + 4 = 42

Therefore, the three integers are 38, 40, and 42.

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Answer:

VU = 120° , WX = 100°

Step-by-step explanation:

(7)

An inscribed angle is half the measure of its intercepted arc , or

the intercepted arc is twice its inscribed angle, then

arc TV = 2 × 30° = 60°

the diameter is TU then arc TU = 180°

the sum of the arcs in the circle = 360° , so

VU + TV + TU = 360°

VU + 60°  + 180° = 360°

VU + 240° = 360° ( subtract 240° from both sides )

VU = 120°

(8)

WY = 2 × 75° = 150°

WX + WY + YX = 360°

WX + 150° + 110° = 360°

WX + 260° = 360° ( subtract 260° from both sides )

WX = 100°

Answer:

64 ft^2

Step-by-step explanation:

It is a square to start, so each side = x

then     (x+7 )    *    ( x -2)    = 90

          x^2 + 5x -14 = 90

           x^2 + 5x - 104 = 0         factor or use Quadratic Formula to fin x = 8 ft

Original area is then 8 x 8 = 64 ft^2  

Answer:

p = (7r+16) / (4-q)

Step-by-step explanation:

4p - 7r = pq + 16

Add 7r to both sides.

4p = pq + 16 + 7r

Subtract pq from both sides.

4p - pq = 7r + 16

Factor out p from the left side.

p(4 - q) = 7r + 16

Divide both sides by (4 - q).

p = (7r + 16)/(4 - q)

The 7r and the 16 could be in either order, like 7r+16 or 16+7r. You could show that the answer is a fraction with 7r+16 on top and 4-q on the bottom. If you are writing or on the computer selecting a fraction that is stacked you don't need need the parenthesis.

Answer: 1 kilometer is greater than 1 meter

Step-by-step explanation: kilo means 1000, so one 1 kilometer would be equal to 1000 meters, which is way more than just 1 meter.

Sorry if not specific!

Answer:

JGL, LGJ, 2

Step-by-step explanation:

When a coin will be flipped three times, and the number of heads recorded. The reason that, this is a binomial experiment is "there are a set number of trials, n. The coin would be flipped three times, a fixed number of times."

A binomial experiment is one that has a fixed number of independent trials only with two outcomes. For instance, the outcome could be a yes or no response. When you toss a coin, you might wonder, "Will I get heads?" The response is either yes or even no.

That is the basic idea, but in order to label an experiment a binomial experiment, the following rules must be followed.

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89 vegetarian dishes

The unitary technique, in its most basic form, is used to calculate the value of a single unit from a specified multiple. How to determine the value of one pen, for instance, if the cost of 40 pens is Rs. 400. The unitary approach can be used to complete it. Additionally, after determining the value of a single unit, we can multiply that value by the number of units needed to determine the value of the additional units. The concept of ratio and proportion is mostly applied using this way.

Using unitary method,

152 passengers are served with = 27 dishes

1 passengers are served with = 27/152

500 passengers are served with = 27 x 500 / 152

                                                         = 88. 81

                                                         ≈ 89 vegetarian dishes

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The absolute value function is

|d - 140| = 30.

Using the absolute value function, we have that:

The minimum time is of 1.83 hours.

The maximum time is of 2.83 hours.

Absolute value function:

Basically, absolute value function providing the distance the number is from zero on a number line.

The absolute function is defined by:

|x| = x, x ≥ 0.

|x| = -x, x < 0.

It measures the distance of a point x to the origin,

For example,

|2| = |-2| = 2.

Given,

You are driving on a highway and are about 140 miles from a state borer. you set your cruise control at 60 miles per hour and plan to turn it off within 30 miles of the border on either side.

Here we need to  write and absolute value equation to model the situation. And we are also solve it to find the minimum and maximum numbers of hours you will have cruise control on.

In this problem, the minimum and maximum distances are within 30 miles of 140,

Hence, the absolute value function is,

|d - 140| = 30.

So, the minimum distance is of:

=> d - 140 = -30

=> d = -30 + 140

=> d = 110.

Hence the minimum time(distance divided by velocity) is:

=> 110/60 = 1.83 hours.

Then the maximum distance is of:

=> d - 140 = 30

=> d = 30 + 140

=> d = 170

Hence the maximum time(distance divided by velocity) is:

=> 170/60 = 2.83 hours.

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The metric designators and trade sizes are for identification purposes only and are not actual dimensions, as pointed out in the note in table 300.1(C).

[Refer The table 300.1(C) below.]

Therefore, the metric designators and trade sizes are for identification purposes only and are not actual dimensions, as pointed out in the note in table 300.1(C).

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The correct question is given below:

The metric designators and trade sizes are for identification purposes only and are not actual dimensions as pointed out in the note to Table?

Answer:

C an D are correct

Step-by-step explanation:

we add the two angles so as to find the value of x,

(6x+2)+(4x+3)=85

10x+5=85

10x=80

x=8

m/JMK=6x+2=6(8)+2=48+2=50°

m/KML=4x+3=4(8)+3=32+3=35°

so only C and D are correct

The measure of the angles ∠JMK and ∠KML will be 50° and 35°, respectively. Then the correct options are C and D.

The angle is the distance between the intersecting lines or surfaces. The angle is also expressed in degrees. The angle is 360 degrees for one complete spin.

The measure of angle ∠JML is 85°. ∠JMK = 6x + 2 and ∠KML = 4x + 3.

We know that the sum of the angles ∠JMK and ∠KML is equal to the angle ∠JML. Then we have

∠JMK + ∠KML = ∠JML

6x + 2 + 4x + 3 = 85°

10x = 80°

x = 8°

Then the angles will be

∠JMK = 6 × 8 + 2

∠JMK = 48 + 2

∠JMK = 50°

∠KML = 4 × 8 + 3

∠KML = 32 + 3

∠KML = 35°

The measure of the angles ∠JMK and ∠KML will be 50° and 35°, respectively.

Then the correct options are C and D.

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The solution to the given Inequality is a > 12 and the graph is as attached.

We are given the Inequality as;

8a - 30 > 66

Now, use addition property of equality to add 30 to both sides to get;

8a - 30 + 30 > 66 + 30

8a > 96

Now, use division property of equality to divide both sides by 8 to get;

8a/8 > 96/8

a > 12

The graph of this is as attached.

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from what I read, the roads look like the picture below.

first off, we'd want to know the distance in "red", well, using the pythagorean theorem, that'd be √(127² + 47² ), which gives us around 135.4 miles.

now, the larger triangle containing the "red" line and the smaller triangle on the left-side containing the "green" line, are similar triangles by AA, so we can use proportions to get the distance from Appletown to "park and ride", because that is the distance that Irving is going to be covering at 45 mph, so that'd be like

[tex]\cfrac{135.4}{127}~~ \approx ~~\cfrac{\textit{park and ride}}{94}\implies \cfrac{135.4\times 94}{127}\approx\textit{park and ride}\implies 100.2\approx\stackrel{park~\&}{ride}[/tex]

now, we know that Irving is going to be covering that distance at 45 mph, so

[tex]\begin{array}{ccll} miles&hour\\ \cline{1-2} 45&1\\ 100.2&h \end{array}\implies \cfrac{45}{100}\approx\cfrac{1}{h}\implies h\approx\cfrac{100}{45}\implies h\approx 2.22[/tex]

without boring you to death, that's about 2 hours and 13 minutes.

well, that means Irving, taking off at 8am, is going to arrive at "park and ride" at 10:13am roughly.

now, we know Carol is taking off at 9am, an hour later than Irving, and she'll be traveling the "green" distance up to the junction, well, we know her distance is 42 miles plus some change, let's use proportions to get the change.

[tex]\cfrac{47}{127}=\cfrac{change}{94}\implies \cfrac{47\cdot 94}{127}=change\implies 34.8\approx change[/tex]

so for Carol to get to "park and ride" she'll be covering about 42 + 34.8 miles, and she needs to get there by 10:13am, that is, 1.22 of an hour later so she can get there at the same time Irving does.

so she needs to cover roughly 76.8 miles in 1.22 hours, let's do the fraction for that in miles over hours.

[tex]\cfrac{76.8~miles}{1.22~hour} ~~ \approx ~~ 62.95[/tex]  due to rounding we get 0.95, but should be 0.94 if we adjust the rounding, but roughly [tex]\cfrac{76.8~miles}{1.22~hour} ~~ \approx ~~ 62.95~\frac{miles}{hour}[/tex]

The recursive function is Tn = 1/2T(n - 1) where T1 = 300

Recursive function

Here, we have

She decides she is going to take out half of what's left in there at the end of each month.

This means that

Tn = 1/2T(n - 1)

Hence, the recursive function is Tn = 1/2T(n - 1) where T1 = 300

Explicit function

Here, we have

Initial, T1 = 300

Rate, r = 1/2

The explicit function is represented as

Tn = T1 * r^(n-1)

So, we have

Tn = 300 * (1/2)^(n-1)

Hence, the explicit function is Tn = 300 * (1/2)^(n-1)

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The correct option is 6.82; the value of C on the number line is 6.82.

A number line is a straight line to numbers positioned at equal intervals or sections along its length in mathematics.

For, the given number line in the question;

As, the point C is situated between the points 6.8 and 6.9; thus the value of point C must lie in between these two values.

Thus, the only option which shows this condition is 6.82.

Therefore, the value point C on the number line is 6.82.

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Answer:

x^32

Step-by-step explanation:

Multiply the exponents in (x4)8.

The amount of fruit in the smoothie will be 3/2 .

It is given in the question that a smoothie calls for 4/6 of a peach, 1/2 of a banana, and 2/6 of a kiwi.

We have to find the amount of fruit in the smoothie.

We know that,

Amount of fruit in the smoothie = Amount of peach in the smoothie +  Amount of banana in the smoothie +  Amount of kiwi in the smoothie

Hence,

Amount of fruit in the smoothie = 4/6 + 1/2 + 2/6

Adding all the fractions, we get,

4/6 + 3/6 + 2/6 = 9/6 = 3/2

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Fixed-Width is data format does each column start and end at the same place in every row.

What do statisticians mean by nominal data?

Nominal data have a quality?

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