A spherical hot-air balloon has a diameter of 55 feet. When the balloon is inflated, the radius increases at a rate of 1.5 feet per minute. Approximately how long does it take to inflate the balloon to Two-thirds of its maximum volume? Use π = 3.14 and V = four-thirds pi r cubed.

Answer:

459.81

Step-by-step explanation:

So if the TV is 469.20 take that number and subtract 2% away from it and boom you got your answer.

Answer:

Step-by-step explanation:

2(x-3) = 5

Distribute.

2x - 6 = 5

Eliminate the 6.

2x = 11

Divide by 2.

x = 11/2

Answer:

[tex]\frac{11}{2}[/tex]

Step-by-step explanation:

We can use distributive property to simplify the equation, [tex]2x-6=5[/tex]. Now, we can move -6 to the right hand side. [tex]2x=11[/tex]. Finally, we can divide 2, [tex]x=\frac{11}{2}[/tex] or [tex]x = 5\frac{1}{2}[/tex]

Hi

I guess that the most obvious answer is

x = 1

Answer:

x = 1

Step-by-step explanation:

10/x + 2/x = 12

x(10/x + 2/x) = 12*x

10x/x + 2x/x = 12x

10 + 2 = 12x

12 = 12x

x = 12/12

x = 1

Verify:

10/1 + 2/1 = 12

10 + 2 = 12

Answer: 352 tickets

Step-by-step explanation:

because multiplying $20 floor tickets by 324 (how many were sold) gives you 6480

subtract from 10000

gives you 3520 (amount made from balcony)

divide by $10

Step-by-step explanation:

Let No. of balcony ticket sold be x

Rate of floor ticket = $20

Rate of balcony ticket = $10

Total Box Office collection :

324 * 20 + 10 * x = $ 10,000

X = 352 tickets

Answer:

  Making change

Step-by-step explanation:

Making change is a cash transaction. Change is cash, bills or coin, that refunds the difference between the amount due and the amount paid.

Answer:

Step-by-step explanation:

Making change:  you work entirely with cash (coins), exchanging the money in one form for the same amount of money in another form (e. g., coins to dollar bills).

Answer:

Speed = 5m/s

Total time taken = 6 seconds

Step-by-step explanation:

Shota's initial position = 30 metres below the edge of a volcano

If Shota climbed at a constant rate:

Shota's position after 4.5 seconds = 7.5meters below the edge of the volcano

Shota's climbing speed :

Distance covered / time taken

Distance covered = (30 - 7.5) = 22.5 meters

Hence, speed = (22.5 / 4.5) = 5m/s

Time taken to reach edge of volcano:

Time left to reach edge = (distance left to cover / speed)

Time left to reach edge = (7.5 / 5) = 1.5 seconds

Total time taken: (4.5 + 1.5) = 6 seconds

Correct question is;

If f ' is continuous, f(5) = 0, and f '(5) = 7, evaluate;

lim x→0 [f(5 + 5x) + f(5 + 6x)]/x

Answer:

The limit is 77

Step-by-step explanation:

Since we want to evaluate;

lim x→0 [f(5 + 5x) + f(5 + 6x)]/x

Thus, let's plug in 0 for x to get;

lim x→0 [f(5 + 5x) + f(5 + 6x)]/x = [f(5) + f(5)]/0

Since we are told that f(5) = 0, thus we now have;

[f(5) + f(5)]/0 = 0/0

Since, we have a limit of both numerator and denominator as 0,thus let's apply L'Hospital's Rule which states that: if we have an indeterminate form of 0/0 or ∞/∞, we will differentiate the numerator and differentiate the denominator and then take the limit.

Thus, applying L'Hospital's rule and using chain rule in differentiating, we have;

lim x→0 [5f'(5 + 5x) + 6f'(5 + 6x)]/1 = 5f'(5) + 6f'(5) = 11f'(5)

We are given f'(5) = 7

Thus,we now have;

11 × 7 = 77

An indeterminate form is an expression involving two functions whose limit cannot be determined solely from the limits of the individual functions.

After evaluation, [tex]\lim_{x \to 0} \frac{f(5+5x)+f(5+6x)}{x} =77[/tex]

Here, given that, f(5) = 0, and f '(5) = 7

We have to find,

         [tex]\lim_{x \to 0} \frac{f(5+5x)+f(5+6x)}{x}[/tex]

When substituting the limit x=0. We get 0/0 form which is indeterminate form.

So, Here we use L'Hospital's rule, because direct substitution of a limit yields an indeterminate form.

        [tex]\lim_{x \to 0} \frac{5*f'(5+5x)+6*f'(5+6x)}{1} =\frac{5f'(5)+6f'(5)}{1}[/tex]

Substituting the value of f '(5) = 7 in above equation.

            [tex]=\frac{5f'(5)+6f'(5)}{1}=\frac{(5*7)+(6*7)}{1}[/tex]

             = [tex]35+42=77[/tex]

Thus, [tex]\lim_{x \to 0} \frac{f(5+5x)+f(5+6x)}{x} =77[/tex]

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Answer:

here I think

Step-by-step explanation:

8y + 5 - 10y - 2 = (8y-10y)+(5-2)=-2y+3

Answer:

The  equation is  [tex]x^2 + y^2 +z^2 + 14 x + 3y \ + 14z + 86.25=0[/tex]

Step-by-step explanation:

From the question we are told that  

    The  diameter endpoints is   (-8, -3, -10) and (-6, 1, -4)

Generally the equation of a sphere with center coordinates (a, b , c ) and  radius  r   is mathematically represented as

           [tex](x - a )^2 + (y -b )^2 + (z -c)^2 = r^2[/tex]

Now since we are given the endpoints of the diameter then we can obtain the center coordinates as follows

         [tex](a, b , c) = [ \frac{ -8 +(-6)}{2} , \frac{-3 + (1)}{ 2} , \frac{ -10 + (-4)}{2} ][/tex]

         [tex](a, b , c) = [ -7 , -1.5 , -7 ][/tex]

Now the length of the diameter is evaluated as

    [tex]|d| = \sqrt{ (-8 - (-6 ))^2 + ( -3 - (1) )^2 + ( -10 - (-4))^2 }[/tex]

   [tex]|d| = \sqrt{56 }[/tex]

   [tex]|d| = \sqrt{4 * 14 }[/tex]

   [tex]|d| = 2 \sqrt{ 14 }[/tex]

Now the radius is mathematically represented as

    [tex]r = \frac{|d|}{2}[/tex]

    [tex]r = \frac{ 2 \sqrt{14} }{2}[/tex]

    [tex]r = \sqrt{14}[/tex]

So

   [tex](x - -7 )^2 + (y --1.5 )^2 + (z --7)^2 = ( \sqrt{14} )^2[/tex]

   [tex](x +7 )^2 + (y +1.5 )^2 + (z +7)^2 = 14[/tex]

    [tex]x^2 + 14 x + 49 + y^2 + 3y + 2.25 +z^2 14z + 49 = 14[/tex]

    [tex]x^2 + y^2 +z^2 + 14 x + 3y \ + 14z + 86.25=0[/tex]

Answer:

Mark answer C and D as correct

Step-by-step explanation:

Recall that a bisector cuts the side in two equal segments, then KH has to be half of 136 that is KH = 68

Also KHZ and HLZ are right angle triangles that share the same hypotenuse, so they are congruent triangles, which means that HL must equal KH  and therefore the full side HJ must be 68 times 2 = 136

Answer:

[tex] \sqrt[4]{f} = f^{\frac{1}{4}}  [/tex]

Step-by-step explanation:

Rule:

[tex] \sqrt[n]{a} = a^{\frac{1}{n}} [/tex]

This question:

[tex] \sqrt[4]{f} = f^{\frac{1}{4}} [/tex]

Answer:

[tex]\huge \boxed{\mathrm{0.65 \ in^2}}[/tex]

Step-by-step explanation:

Area of square = [tex]s^2[/tex]

[tex]0.5^2 = 0.25[/tex]

Area of triangle = [tex]\frac{bh}{2}[/tex]

[tex]\frac{0.5 \times 0.4}{2}=0.1[/tex]

The surface area of the net = area of square + 4(area of triangle)

[tex]0.25+4(0.1)=0.65[/tex]

Answer:

x=25°

Step-by-step explanation:

Sum of angles of a triangle equals 180°

Answer:

3.777...

Step-by-step explanation:

You would divide the 2 and once you get the remainder put a decimal after the divisor and keep bringing down 0 until you can divide anymore 3.777...

Answer:

19/18

Step-by-step explanation:

convert to an improper fraction

8 2/9 = 74/9

7 1/6 = 43/6

= 74/9 - 43/6

convert so denominators are equal -- multiply by 2

= 148/18 - 129/18

subtract

19/18

On subtracting two mixed numbers 8 2/9 and 7 1/6 we will get 1 1/18.

Given is subtraction operation involving two mixed numbers 8 2/9 and 7 1/6.

We need to evaluate 8 2/9 - 7 1/6.

To evaluate the expression 8 2/9 - 7 1/6, we first need to convert the mixed numbers to improper fractions, then perform the subtraction.

Step 1: Convert mixed numbers to improper fractions.

To convert a mixed number to an improper fraction, multiply the whole number by the denominator of the fractional part and add the numerator. Keep the denominator the same.

Let's do this for both numbers:

8 2/9 = (8 × 9 + 2) / 9 = 74 / 9

7 1/6 = (7 × 6 + 1) / 6 = 43 / 6

Step 2: Perform the subtraction.

Now that both numbers are in the form of improper fractions, we can subtract them:

(74 / 9) - (43 / 6)

To subtract fractions, they must have the same denominator. To achieve this, we find the least common multiple (LCM) of 9 and 6, which is 18. Now, we'll rewrite the fractions with a common denominator of 18:

(74 / 9) = (74 / 9) × (2 / 2) = 148 / 18

(43 / 6) = (43 / 6) × (3 / 3) = 129 / 18

Now, the expression becomes:

(148 / 18) - (129 / 18)

Step 3: Subtract the fractions.

Subtract the numerators while keeping the common denominator:

(148 - 129) / 18 = 19 / 18

Step 4: Simplify (if necessary).

The result, 19/18, is an improper fraction. To convert it back to a mixed number, we find the whole number and the proper fraction part:

19 / 18 = 1 (1/18)

So, the final result is: 8 2/9 - 7 1/6 = 1 1/18.

Learn more about Mixed numbers click;

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Answer:

15

*ignore this answers have to be a minimum of 20 characters.

Answer:

15

Step-by-step explanation:

1+2=3

3+3=6

6+4=10

10+5=15.

Answer: B

Step-by-step explanation:

We can define the North as our positive y-axis, and the East as the positive x-axis.

The position of the airport is the (0, 0)

Then the position of the first plane is: (200 km north and 50 km east)

(50km, 200km)

The position of the other plane is: (30 km north and 100 km west)

(-100km, 30km)

Now, if we have two points (a, b) and (c, d)

The distance between those points is:

D = √( (a - c)^2 + (b - d)^2)

Then the distance between the planes is:

D = √( (50km - (-100km))^2 + (200km - 30km)^2)

D = √( (150km)^2 + (170km)^2)

D = 226.7km

Then the distance is closest to 200km, the correct option is B.

On a coordinate plane, we have:

The closest distance between the planes is 200km

The positions of the two planes is given as:

[tex]A = (50,200)[/tex] --- 50km east and 200km north

[tex]B = (-100,30)[/tex] --- 100km west and 30km north

The distance between the planes is calculated using the following distance formula:

[tex]d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}[/tex]

So, we have:

[tex]d = \sqrt{(50--100)^2 + (200-30)^2}[/tex]

[tex]d = \sqrt{150^2 + 170^2}[/tex]

[tex]d = \sqrt{51400}[/tex]

[tex]d = 226.72km[/tex]

From the list of given options, 200km is the closest to 226.72km

Hence, the closest distance between the planes is 200km

See attachment for the positions of both planes

Read more about distance at:

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Answer:

Draw a line through Q and S

Step-by-step explanation:

I took the quiz. I hope this helps :)

Answer:

Step-by-step explanation:

Given,

Perpendicular ( P ) = 36

Base ( b ) = 36

Hypotenuse ( h ) = ?

Finding the hypotenuse :

Using the Pythagoras theorem :

[tex] \sf{ {h}^{2} = {p}^{2} + {b}^{2} }[/tex]

plug the values

⇒[tex] \sf{ {h}^{2} = {36}^{2} + {36}^{2} }[/tex]

Evaluate the power

⇒[tex] \sf{ {h}^{2} = 1296 + 1296}[/tex]

Add the numbers

⇒[tex] \sf{ {h}^{2} = 2592}[/tex]

Squaring on both sides

⇒[tex] \sf{h = 36 \sqrt{2} }[/tex] units

Hope I helped!

Best regards!!

Answer:

y = 3x - 10

Step-by-step explanation:

Starting with 3x - y = 10, add y to both sides:

3x = 10 + y

Then subtract 10 from both sides:

3x - 10 = y

If you switch the sides of the equation, it can also be written as:

y = 3x - 10

Answer:

Step-by-step explanation:

The length of one revolution of the sprocket is ...

  C = 2πr = 2π(1.5 in) = 3π in

Then the length of 3250 revolutions is ...

  3250(3π in) = 30,630.53 in

About 30,631 inches of chain travel past the sprocket in one minute.

__

There are 12 inches in a foot, so the number of feet is ...

  30,630.53 in/(12 in/ft) = 2552.54 ft

About 2553 feet of chain travel past in one minute.

Answer:

$80

Step-by-step explanation:

So for this we need the cost of 4 regular tickets minus the cost of 4 discount tickets.

4(125$) = 500$

4(105$) = 420$

From here, we can find out how much is saved by the four people.

500$ - 420$ = 80$

So 80 dollars are saved by the four people.

Cheers.

what OneEnginer said

Step-by-step explanation:

use PEMDAS: please excuse my dear aunt sally

Answer:

8:3

Step-by-step explanation:

read the question carefully

Answer:

8/3 or 8:3

Step-by-step explanation:

It says WATER to DRINK MIX. Therefore, It can't be 3:8 or 3/8. The only thing to make sense is 8/3 or 8:3

Answer:

20/:&&:/$/686th

Step-by-step explanation:

ggbnk

Answer:

C. There is a 0.60 probability that it will rain somewhere in the region at some point during the day.

Step-by-step explanation:

The probability that it will rain is given by =p= 60% = 0.6

60​% chance of rain in a certain region means that the probability of rain in the given region is 0.6 at any time of the day in any part of the region.

So Choice C is the best option.

Choice A is wrong because 60% of the region does not mean 60% of the rain.

Choice B is also wrong because 60​% of the day  does not mean 60% of the rain.

The weather report tells about the rain , not the region or part of the day. So choice C is the best option

Answer:

X = -3

Step-by-step explanation:

x - 5 = 3x + 1

-6 = 2x

x = -3

Hope it helped u if yes mark me BRAINLIEST!

Tysm!

;)

The equation formed by the information, 5 less than a number is equivalent to 1 more than three times the number is x - 5 = 3x + 1. And the number is x = -3.

The simplest equation used to express and solve for an unknown quantity is a linear equation in one variable. It's simple to depict graphically since it's always a straight line. A linear equation is a simple technique to convey a mathematical proposition. Unknown quantities can be represented by any variable or symbol, however, in most cases, the unknown quantity in a linear equation in one variable is represented by the variable 'x'.  A collection of basic strategies are used to solve a linear equation. To determine the final value of the unknown quantity, the variables are isolated on one side of the equation and the constants are isolated on the other side of the equation.

We are given that 5 less than a number is equivalent to 1 more than three times the number. We are asked to determine the number.

To determine the number, we will let the unknown number be x.

We will now try to make the two equal expressions, equate them to get a linear equation in one variable, and then solve the equation to find x.

First expression: 5 less than the number, that is, x - 5

Second expression: 1 more than three times the number, that is, 3x + 1.

Both the expressions are equal, so we equate them to get our equation:

x - 5 = 3x + 1

To solve for x, we do the following steps.

1. Subtract 3x from both sides of the equation:

x - 5 - 3x = 3x + 1 - 3x

or, -2x -5 = 1 (Simplifying)

2. Add 5 to both sides of the equation:

-2x - 5 + 5 = 1 + 5

or, -2x = 6 (Simplifying)

3. Divide both sides of the equation by (-2):

-2x/(-2) = 6/(-2)

or, x = -3 (Simplifying).

∴ The equation formed by the information, 5 less than a number is equivalent to 1 more than three times the number is x - 5 = 3x + 1. And the number is x = -3.

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Answer:

0.8(x - 200)

Step-by-step explanation:

The rebate function is subtracting 200 from the price.

R(x) = x - 200

The discount function is to take 20% off the original price which means to pay for 80% of the original price.

D(x) = 0.8x

(D ° R)(x) =

= D(R(x))

= D(x - 200)

= 0.8(x - 200)

Answer:

The equations needed to solve this problem are:

y = 12 + 6x

y = 12x

The number of posters completed by each Avenger will be 24.

Step-by-step explanation:

The information provided are:

So, after x day the number of poster completed by Ms. Ironperson will be:

y = 12 + 6x

And after x day the number of poster completed by Mr. Thoro will be:

y = 12x

Thus, the equations needed to solve this problem are:

y = 12 + 6x

y = 12x

Compute the value of x as follows:

12x = 12 + 6x

6x = 12

x = 2

The number of posters completed by each Avenger is:

y = 12x = 12 × 2 = 24

Thus, the number of posters completed by each Avenger will be 24.

Answer: C. disturbance handler

Step-by-step explanation:

According to Henry Mintzberg, a manager has 10 roles which can be organized into three categories being; Decisional, Interpersonal and Informational roles.

The relevant role is that of a Disturbance handler and it falls under Decisional roles.

As the Disturbance handler, a manager should take the responsibility of resolving any problems that the company runs into that is under their authority to manage. They are to mediate in the issue to resolve the problem so that it does not disrupt the operations of the business.

The senior managers of Uber should take charge and guide Uber through the financial and ethical issues they are facing as this is their responsibility as disturbance handlers.