Please answer it now in two minutes

Answer:

The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.

Step-by-step explanation:

The volume of the sphere ([tex]V[/tex]), measured in cubic feet, is represented by the following formula:

[tex]V = \frac{4\pi}{3}\cdot r^{3}[/tex]

Where [tex]r[/tex] is the radius of the sphere, measured in feet.

The change in volume is obtained by means of definition of total difference:

[tex]\Delta V = \frac{\partial V}{\partial r}\Delta r[/tex]

The derivative of the volume as a function of radius is:

[tex]\frac{\partial V}{\partial r} = 4\pi \cdot r^{2}[/tex]

Then, the change in volume is expanded:

[tex]\Delta V = 4\pi \cdot r^{2}\cdot \Delta r[/tex]

If [tex]r = 40\,ft[/tex] and [tex]\Delta r = 40\,ft-40.05\,ft = 0.05\,ft[/tex], the change in the volume of the sphere is approximately:

[tex]\Delta V \approx 4\pi\cdot (40\,ft)^{2}\cdot (0.05\,ft)[/tex]

[tex]\Delta V \approx 1005.310\,ft^{3}[/tex]

The change in the volume of a sphere whose radius changes from 40 feet to 40.05 feet is approximately 1005.310 cubic feet.

Answer:

Step-by-step explanation:

I'm going to go way out on a limb here and say that you are probably looking for the equation that goes along with that information. If not, you'll learn something anyway!

The equation that we want to fill in is this one:

[tex](y-k)^2=4p(x-h)[/tex]

where h and k are the coordinates of the vertex and p is the distance from the vertex to either the focus or the directrix (since the vertex is directly between the 2). If our vertex is at the origin (0, 0) and the focus is at (-2, 0), first and foremost we need to decide what kind of parabola this is. Remember that a parabola wraps itself around the focus. So our parabola opens to the left (that means that in the end, the equation will be negative, but we'll get there in time). Now we need to determine p, since that's the only "mystery" and everything else was given to us.

p = 2. Filling in the equation:

[tex]-(y-0)^2=4(2)(x-0)[/tex] which simplifies to

[tex]-y^2=8x[/tex] and now we solve it for x:

[tex]-\frac{1}{8}y^2=x[/tex]

Answer:

B

Step-by-step explanation:

Answer:

1

Step-by-step explanation:

Change 1/2 to 0.5 and then do 0.75-0.25+0.5.

Answer:

1

Step-by-step explanation:

0.75-0.25+1/2

=0.50+0.5

=0.5+0.5

=1

Answer:

Step-by-step explanation:

As shown in the diagram.

The fly will be 16 feet wide i.e BC = 16 feet

thus BD = DC = 8 feet

By pythagorus theorem

Hypotenuse²=  Height ²+ Base²

in ΔABD

AD = 12 feet

BD = 8 feet

put these value in the  equation

AB ²= AD² + BD²

AB²=  12²+ 8²

AB² = 144 + 64

AB² =  208

AB = 14.42 feet

The minimum length of the slanted poles needed to support the fly is 14.42 feet.

Answer:

the following model the membership cost is p=250+42m

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer:

The correct answer on EDG-2020 is:

c) ≈471 in.2

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

credit to the first guy

Answer:

The surface area of the sphere is:

[tex]Surface_{sphere}=843.6\,\, in^2[/tex]

Step-by-step explanation:

Recall the two following important formulas:

[tex]Volume_{sphere}=\frac{4}{3} \,\pi\,\,R^3\\\\Surface_{sphere}=4\,\pi\,R^2[/tex]

where R is the radius of the sphere.

Then, since we know the sphere's volume (2304 [tex]in^3[/tex]), we can calculate the sphere's radius:

[tex]Volume_{sphere}=\frac{4}{3} \,\pi\,\,R^3\\2304=\frac{4}{3} \,\pi\,\,R^3\\\frac{3\,*\,2304}{4\,\pi} =R^3\\R=\sqrt[3]{\frac{6912}{4\,\pi} } \, in\\R=8.1934\,\, in[/tex]

Now, knowing the radius, we can estimate the surface of the sphere using the other formula;

[tex]Surface_{sphere}=4\,\pi\,R^2\\Surface_{sphere}=4\,\pi\,(8.1934)^2\\Surface_{sphere}=843.6\,\, in^2[/tex]

Answer:

√208

Step-by-step explanation:

Step 1: Convert 4 to √

4² = 16

4 = √16

Step 2: Multiply radicals

√16(√13) = √208

Answer:

[tex]\sqrt{208}[/tex]

Step-by-step explanation:

Getting this answer can simply be achieved by process of elimination. I started dividing [tex]\sqrt{208}[/tex] by numbers that I knew had perfect squares, and eventually I found 16.

      [tex]\sqrt{208}[/tex]

          /\

    [tex]\sqrt{16}[/tex] [tex]\sqrt{13}[/tex]

      [tex]4\sqrt{13}[/tex]

As you can see above once I got 16 and 13, I found the square root of 16, which was four, and I checked to see if I could find the square root of 13 as well, but unlike 16 it doe snot have a perfect square.

Answer:

C

Step-by-step explanation:

You can tell C is the right answer because one of the inequalities is a vertical line at y=3, which rules out all the other answers. However, if you continue to look at the 2nd inequality, you find the equation is x + y > 2, because the slope is -1 and the y-int is 2.

Answer:

C. [tex]\left \{ {{x\leq 3} \atop {x+y>2}} \right.[/tex]

Step-by-step explanation:

Well I went to Desmos and graphed them.

look at the image below

Answer:

y

=

−

41

−

√

3165

2

,

−

41

+

√

3165

2

Decimal Form:

y

=

7.62916635

…

,

−

48.62916635

…

Step-by-step explanation:

Answer:

40 cups of sugar

Step-by-step explanation:

10 cups = 3 eggs

x cups = 12 eggs( a dozen )

12*10 =3x

120=3x

120/3=40

Answer:

40 cups of sugar

Step-by-step explanation:

All you have to do is divide the dozen eggs by 3 which will give you 4 and then after you multiply the 4 by the 10 cups of sugar to give you 40 cups of sugar.

Answer:

2 hours = 120 minutes so it takes her 120 / 8 = 15 minutes to make one.

Answer:

44

Step-by-step explanation:

MRQ=136

In a straight line there is 180 degrees

180-136=44

MRS=44 degrees

alternates angle is a z shape so NMRS is one

So you then RMP is 44 degrees.

Hope it helps just tryed

Answer: (a) Refer to picture attached

(b) Probability that randomly selected student in class 1 prefers comedies is 42%

(c) Probability that randomly selected student in class 2 prefers action movies is 29%

Step-by-step explanation: Please refer to the picture attached for the required two-way table.

For the first class, that is class 1, you need to calculate the probability that a randomly selected student prefers comedies. A probability can be expressed as follows;

P(comedies) = Number of required events / Number of possible outcomes

P(comedies) = 13/31

P(comedies) = 0.419354

Therefore the probability that a student selected randomly from Ms Peter's first class prefers comedies is 0.4193 (approximately 0.42) or 42%.

For the second class, that is class 2, you need to calculate the probability that a randomly selected student prefers action movies. The probability thus is expressed as;

P(Action) = Number of required events / Number of possible outcomes

P(Action) = 9/31

P(Action) = 0.290322

Therefore the probability that a student randomly selected from Ms Peter's second class prefers action movies is approximately 0.29 or 29%.

Answer:

Original Coordinates: (-4, 5)

Step-by-step explanation:

We simply take the opposite directions to find our original coordinates.

Step 1: Translate 3 units down

(-4, -2) --> (-4, -5)

Step 2: Reflect over x-axis

(-4, -5) --> (-4, 5)

Answer:

D) Their difference is the number of days the first promo codes were released before the new record

Answer:

D.) Their difference is the number of days the first promo codes were released before the new record

Step-by-step explanation:

Got it right on Edge

Answer:

B, √140

Step-by-step explanation:

√28+√112 = √140

Answer:

No because cuboid a is smaller than cuboid b

Step-by-step explanation:

Answer:

No.

Step-by-step explanation:

They do not have the same surface area. My calculations as to how I know: A = 2x2x2+3x2x2+3x2x2= 4x2+6x2+6x2= 8+12+12= 20+12= 30cm B = 1x3x2 + 1x4x2 + 3x4x2= 3x2 + 4x2 + 12x2= 6+8+24 14+24= 38cm

Answer:

mMKL = 115°

Step-by-step explanation:

Using the property of intersecting chords in a circle, we have that one angle in the intersecting point is the average of the arcs intercepted by the angle and its vertical angle.

So, to find the measure of the angle MKL, we have:

mMKL = (1/2) * (mML + mNU)

mMKL = (1/2) * (155 + 75)

mMKL = (1/2) * (230)

mMKL = 115°

Answer:

Length = 51 centimeters

Width = 19 centimeters

Step-by-step explanation:

Length = l

Width = w

Length is 3w - 6

l = 3w - 6

P = 2l + 2w

The perimeter is given, plug in the values.

140 = 2(3w - 6) + 2w

140 = 6w - 12 + 2w

140 + 12 = 8w

152 = 8w

w = 19

The width is 19cm.

l = 3w - 6

l = 3(19) - 6

l = 57-6

l = 51

The length is 51 cm.

Answer:

[tex]\boxed{\red{width = 19 cm} }\\ \boxed{\red{

length = 3x-6}} \\

\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \boxed{\red{= 51 cm}}

[/tex]

Step-by-step explanation:

let the width be x

Let's find the length

[tex]3x - 6[/tex]

Perimeter of a rectangle

[tex]p = 2(length + width) \\ p = 2(3x - 6 + x) \\ p = 6x - 12 + 2x \\ p = 8x - 12 \\ [/tex]

given that,

[tex]p = 140[/tex]

so,

[tex]140 = 8x - 12 \\ 140 + 12 = 8x \\ 152 = 8x \\ x = 19[/tex]

therefore,

width = 19 cm

length = 3x-6

= 51 cm

Answer:

I DUNNO

Step-by-step explanation:

Answer:

BC = 19.371

Step-by-step explanation:

Use the cosine ratio:

Cos(71°) = 6.3/BC

BC = 6.3/Cos(71°)

BC = 19.371 cm

That's it, Best Regards!

Answer: The least share is N450000

Step-by-step explanation:

Given that :

Amount shared = N18 00000

Sharing ratio = 5:4:3

Amount shared by each child :

Total ratio = (5 + 4 + 3 )= 12

First share :

(5 / 12) × 1800000 = 750000

Second share :

(4/12) × 1800000 = 600000

Third share:

(3/12) × 1800000 = 450000

The least amount of the three shares is :

N450000

Answer:

Answer is C. 0.58

Step-by-step explanation:

22/38 = 0.57 something rounded to 58

Answer:

[tex]N + Q = 32[/tex] and [tex].05N + .25Q = 3.00[/tex]

Step-by-step explanation:

Given that there is a collection of nickels and quarters.

Let N be the number of coins of nickels and

Q be the number of coins of quarters.

It is given that total number of coins are 32.

Number of coins of nickels + Number of coins of quarters = 32

[tex]\therefore \bold{N+Q=32}[/tex] is the first equation.

Now, we know that value of a one quarter coin is 25 cents or [tex]\$\frac{25}{100} = \$0.25[/tex]

and value of a one nickel coin = 5 cents = $0.05

Total value of all nickel coins = Number of nickel coins [tex]\times[/tex] value of one nickel coin = [tex].05N[/tex]

Similarly,

Total value of all quarter coins = Number of quarter coins [tex]\times[/tex] value of one quarter coin = [tex].25Q[/tex]

Total value of coins is 3 dollars.

[tex]\therefore \bold{.05N + .25Q = 3.00}[/tex] is the second equation.

So, the answer is:

[tex]N + Q = 32[/tex] and [tex].05N + .25Q = 3.00[/tex]

Answer:

the first three options

Step-by-step explanation:

they all have shared points

Answer:

  16, 18, 20

Step-by-step explanation:

We can estimate that the square of the middle integer will be about 1/3 of 980. Then the middle integer is about ...

  √(980/3) ≈ 18.09

The integers are 16, 18, 20.

_____

Check

  16^2 +18^2 +20^2 = 256 +324 +400 = 980

Answer:

16, 18, 20

Step-by-step explanation:

Let the three consecutive even integers be (x - 2), x, (x + 2)

[tex] \therefore \: {(x -2 )}^{2} + {x}^{2} + {(x + 2)}^{2} = 980 \\ \therefore \: {x}^{2} - 4x + 4 + {x}^{2} + {x}^{2} + 4x + 4 = 980 \\ \therefore \: 3{x}^{2} + 8 = 980 \\ \therefore \: 3{x}^{2} = 980 - 8 \\ \therefore \: 3{x}^{2} = 972 \\ \\ \therefore \: {x}^{2} = \frac{972}{3} \\ \\ \therefore \: {x}^{2} = 324 \\ \therefore \: x = \pm \sqrt{324} \\ \therefore \: x = \pm \: 18 \\ \because \: x \: is \: even \: integer \\ \therefore \: x \neq - 18 \\ \therefore \: x = 18 \\ \\ x - 2 = 18 - 2 = 16 \\ x = 18 \\ x + 2 = 18 + 2 = 20 \\ [/tex]

Hence, three consecutive even integers are : 16, 18, 20.

Answer:

y = 1/5x - 6/5

Step-by-step explanation:

Step 1: Write out known variables

m = 1/5

y = 1/5x + b

Step 2: Find b

-1 = 1/5(1) + b

-1 = 1/5 + b

b = -6/5

Step 3: Write linear equation

y = 1/5x - 6/5