What is the volume of a cube whose edge measures 21 centimeters each

Answer:

V = 1/3 LWH

Step-by-step explanation:

V = Volume

L = Length

W = Width (or you can write B instead of W)

B = Breadth (same meaning as Width)

H = Height

Hope this helps you.

Answer:

8.25*10^24

Step-by-step explanation:

1000*.25= 250 (this converts the .25 into milliliters)

250(3.3 * 10^22)

= 8.25*10^24

The required molecules of water in the glass are given as 8.25 × 10²⁴.

Unit of measurement is defined as every entity having its measures in dimensions, weight, and time. Such as for length we have a meter, for liquid we have liters, and so on.

Here,
A glass of water contains 0.25 liter of water.
1 liter = 1000 mililiters
So,

0.25 liter = 250 mililiter

Now,
1 milliliter of water contains 3.3 x 10²² water molecules,
Number of molecules in 0.25 liters of water,
= 250 × 3.3 x 10²²
= 8.25 × 10²⁴

Thus, the required molecules of water in the glass are given as 8.25 × 10²⁴.

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Answer:

This will help i am telling you if it don't ask me for the answer

Step-by-step explanation:

The distribution of the animals in the coral reef is an illustration of probability

The distribution of the animals is given as:

Blue fish = 3

Yellow fish = 7

Sea turtle = 1

Eels = 3

The animal with the highest frequency is the most likely animal.

Hence, the Yellow fish is the most likely animal.

From the question, we have:

Blue fish = 3

Eels = 3

Both animals have the same frequency.

This means that Riley has equal chance of seeing a blue fish and an eel.

The animal with fins are:

Blue fish = 3

Yellow fish = 7

So, the probability is:

[tex]p = \frac{3 + 7}{3 + 7 + 1 + 3}[/tex]

[tex]p = \frac{10}{14}[/tex]

Simplify

[tex]p = \frac 57[/tex]

Hence, the probability of seeing an animal with fins is 5/7

The animal with the least frequency is:

Sea turtle = 1

So, the likelihood is:

[tex]p = \frac 1{14}[/tex]

Hence, the sea turtle has the least likelihood of 1/14

The Blue fish and the Eels have the same frequency of 3

This means that animals have equal likelihood

We have:

Blue fish = 3

Yellow fish = 7

Sea turtle = 1

Eels = 3

Express as probability

Blue fish = 3/14

Yellow fish = 7/14

Sea turtle = 1/14

Eels = 3/14

Express the fractions as decimals

Blue fish = 0.214

Yellow fish = 0.500

Sea turtle = 0.071

Eels = 0.214

So, their likelihoods are:

Blue fish = Equally likely

Yellow fish = Certainly likely

Sea turtle = Unlikely

Eels = Equally likely

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Answer: Square

Step-by-step explanation:

Answer:

8 guests.

Step-by-step explanation:

1 cake split by 8 guests means each guest gets 1/8 of the cake.

please give brainliest!!

Answer:

Step-by-step explanation:

In Rhombus opposite angles are equal.

6x + 8 = 86

6x = 86 - 8   {Subtract 8 from both sides}

6x = 78

x = 78/6  {Divide both sides by 6}

x = 13

In rhombus adjacent angles are supplementary.

7y + 3  + 86 = 180

7y + 89 = 180

      7y = 180 - 89   {Subtract 89 form both sides}

      7y = 91

        y = 91/7  {Divide both sides by 7}

y = 13

5z + 4 + 86  = 180

     5z  + 90 = 180

            5z    = 180 - 90  {Subtract 90 from both sides}

             5z   = 90

                z = 90/5    {divide both sides by 5}

z = 18

Answer:

2(2+11)

Step-by-step explanation:

i hope it helps i guess

Answer:

Approximately [tex]0.0435\; \text{in} \cdot \text{s}^{-1}[/tex]. (Given that [tex]V = \pi\, r\, h^{2} - (1/3)\, h^{3}[/tex].)

Step-by-step explanation:

Let [tex]t[/tex] denote time. Both the volume of water in the bowl, [tex]V[/tex], and the height of water in the bowl, [tex]h[/tex], are dependent on [tex]t\![/tex] (as if the [tex]V\![/tex] and [tex]h[/tex] are functions of [tex]\! t[/tex].)

Implicitly differentiate both sides of the equation [tex]V = \pi\, r\, h^{2} - (1/3)\, h^{3}[/tex] with respect to [tex]\! t[/tex]:

[tex]\displaystyle \frac{d}{d t}[V] = \frac{d}{d t}\left[\pi\, r\, h^{2} - (1/3)\, h^{3}\right][/tex].

[tex]\displaystyle \frac{d V}{d t} = 2\, \pi\, r\, h\, \frac{d h}{d t} + (1/3)\, (3\, h^{2})\, \frac{d h}{d t}[/tex].

Both [tex]h[/tex] (current height of water in the bowl) and [tex](d V) / (d t)[/tex] (rate at which water is poured into the bowl) are given: [tex]h = 2.4\; \text{in}[/tex] and [tex](d V) / (d t) = 5\; \text{in}^{3}\cdot \text{s}^{-1}[/tex]. The question is asking for [tex](d h) / (d t)[/tex], the rate at which the water level in the bowl is rising.

Thus, rearrange the equation to find an expression for [tex](d h) / (d t)[/tex] in terms of [tex]h[/tex], [tex]r[/tex], and [tex](d V) / (d t)[/tex]. Substitute in the values [tex]h = 2.4\; \text{in}[/tex], [tex](d V) / (d t) = 5\; \text{in}^{3}\cdot \text{s}^{-1}[/tex], and [tex]r= 8\; \text{in}[/tex]; solve for [tex](d h) / (d t)\![/tex], the rate at which the water level is rising:

[tex]\displaystyle \frac{d V}{d t} = \left(2\, \pi\, r\, h\, + (1/3)\, (3\, h^{2})\right)\, \frac{d h}{d t}[/tex].

[tex]\begin{aligned} \frac{d h}{d t} &= \frac{\displaystyle \frac{d V}{d t}}{2\, \pi\, r\, h\, + (1/3)\, (3\, h^{2})} \\ &= \frac{\displaystyle \frac{d V}{d t}}{2\, \pi\, r\, h\, + h^{2}} \\ &= \frac{5\; \text{in}^{3} \cdot \text{s}^{-1}}{2\, \pi \, (8\; \text{in})\, (2.4\; \text{in}) + (2.4\; \text{in})^{2}} \\ &\approx 0.0435\; \text{in} \cdot \text{s}^{-1} \end{aligned}[/tex].

Answer:

i think it would be 12 inches wide

Step-by-step explanation:

Answer:

x = 4

Step-by-step explanation:

For ΔLJK

[tex]sin(K) = \frac{Opposite}{Hypotenuse} \\sin(30)=\frac{LJ}{8\sqrt{2} }[/tex]

[tex]LJ=8\sqrt{2} *sin30=4\sqrt{2}[/tex]

For ΔLMJ

[tex]sin(J) = \frac{Opposite}{Hypotenuse} \\sin(45)=\frac{LM}{4\sqrt{2} }[/tex]

[tex]LM=4\sqrt{2} *sin45=4[/tex]

x = LM = 4

Answer:

1.

a) isosceles right triangle

b) scalene triangle

c) isosceles triangle

d) equilateral triangle

2. 53 degrees

3. Yes. You can use the side-side-side (SSS) postulate because side QR and side SR are shown as congruent, and side QP and SP are also congruent. Since you know that the other two sides are congruent, then that means that the last side must be congruent as well.

Step-by-step explanation:

Answer:

/

dont subtract 3 from -7m so it would be -7m + 3

7m

/

= m = 3

Answer:

The system of equations:

Nancy:   Y=$425+$25x

Sam :   Y=$705-$15x

Given:

Amount in Nancy's bank = $425

Amount saved by Nancy each week = $25

Amount in Sam's bank = $705

Amount spent by Sam each week = $15

To find:

Y=$425+$25xx

Y=$425+$25x

The system of equations describing the given models.

Solution

1) Amount in Nancy's bank = $425

Amount saved by Nancy each week = $25

Let the number of weeks Nancy saving her money be 'x'.

Let the total amount of money in Nancy's bank after x weeks be 'y'.

The equation for Nancy: Y=$425+$25x

2) Amount in Sam's bank = $705

Amount spend by Sam each week = $15

Let the number of weeks Sam spending his money be 'x'

Let the total amount of money left in Sam's bank after x weeks ='y'

The equation for Sam:

Y=$705-$15 x x

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

[tex]\tan^{-1}(\frac{a}{b})}[/tex] is the angle on the right, so

[tex]\cos[\tan^{-1}(\frac{a}{b})}]=\frac{b}{\sqrt{a^2+b^2}}[/tex]

That is D

Answer:

The rule also means if you want your money to double in 4 years, you need to find an investment that earns 18% per year compounded annually.

Step-by-step explanation:

Answer:

[tex] - 7[/tex]

Step-by-step explanation:

-6 x + 3 = 45

collect like terms and then make x the subject of formula

=> -6x = 45 -3

note: when turning three over to the other side the plus sign change to minus

In order to make x the subject of formula we divide 45 - 3 by -6

=> [tex] \frac{45 - 3}{ - 6}\\ [/tex]

subtract 45 from 3 which gives us 42

now divide 42 by -6

=> -7

Step-by-step explanation:

64 crayons school order 25 for the art class there are 5 art class they should be share evenly

Answer:

65¢

Step-by-step explanation:

3 tons of sand cost $3900

A ton is 2000 pounds

6000 pounds of sand cost $3900

3900/6000 = 0.65

65¢

Step-by-step explanation:

3ton ==> $3,900.00

1ton ===> $3,900.00/3 =$1,300.00

1 ton = 2204.623 pound

1 pound==> $1,300.00 / 2204.623 = $0.59 approx

There are 6 numbers from 0 to 199 who have 3 factors. These numbers are:-

Answer:

[tex]x = 10.5[/tex]

Solving steps:

3 1/2 = 5, x = 15

divide 3.5 by 5

=> 0.7

0.7 by 15

=> 10.5

Answer:

Both median,mode and mean are measures of central tendency but according to the question Mode is the best measure since it is unique

Answer:

It gets bigger

Step-by-step explanation:

You just multiply the circumference by 3

Answer:

The circumference is tripled

Step-by-step explanation:

The formula for the circumference is 2πr. If you triple the radius the formula would be 2π3r. the ratio between the two is 2π3r / 2π1r. 2π & r cancels out and you have 3/1 left. Therefore the answer is the circumference is tripled.

The fact that there is no exponential in the formula indicates that the proportional increase is lineal.