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3 years ago

What is the surface area of the cube? cube with length, width, and height labeled 7 millimeters

Mathematics

2 answers:

Mama L [17]3 years ago

4 0

One side will be 7x7 because its a square. there are 6 sides so 49x6=
294 mm2

DochEvi [55]3 years ago

4 0

To find the surface area of the whole cube, you need to first find the area of one side.
So one side is just a square with length and width of 7mm. So the area would be 7 x 7 = 49mm².
Since there are 6 sides on a cube, multiply this area by 6 to give you the whole surface area of the cube.
49 x 6 = 294mm²

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An advertising company designs a campaign to introduce a new product to a metropolitan area of population 3 Million people. Let

Advocard [28]

Answer:

$P(t)=3,000,000-3,000,000e^{0.0138t}$

Step-by-step explanation:

Since P(t) increases at a rate proportional to the number of people still unaware of the product, we have

$P'(t)=K(3,000,000-P(t))$

Since no one was aware of the product at the beginning of the campaign and 50% of the people were aware of the product after 50 days of advertising

We have and ordinary differential equation of first order that we can write

$P'(t)+KP(t)= 3,000,000K$

The <em>integrating factor </em>is

$e^{Kt}$

Multiplying both sides of the equation by the integrating factor

$e^{Kt}P'(t)+e^{Kt}KP(t)= e^{Kt}3,000,000*K$

Hence

$(e^{Kt}P(t))'=3,000,000Ke^{Kt}$

Integrating both sides

$e^{Kt}P(t)=3,000,000K \int e^{Kt}dt +C$

$e^{Kt}P(t)=3,000,000K(\frac{e^{Kt}}{K})+C$

$P(t)=3,000,000+Ce^{-Kt}$

But P(0) = 0, so C = -3,000,000

and P(50) = 1,500,000

$e^{-50K}=\frac{1}{2}\Rightarrow K=-\frac{log(0.5)}{50}=0.0138$

And the equation that models the number of people (in millions) who become aware of the product by time t is

$P(t)=3,000,000-3,000,000e^{0.0138t}$

5 0

4 years ago

SOLVE

Ber [7]

Answer:

Step-by-step explanation:

Numer 1: The answer to this problem is 4 pounds

Numer 2: 13 cups

Explanation:

Four jars of sauce with 26 oz would be a total of 104 ounces

4 x 26 = 104

1 cup contains 8 ounces.

104 oz x $\frac{1cps}{8oz}$ =13 cups

Numer 3: Since, 1 quartz = 33.307 ounces ( approx )

⇒ 3 quartz = 99.921 ounces

If the total number of players = 16,

And, the given fluid is divided equally among these players,

Then the total quantity of fluid each player get

$\frac{toral quality od drink }{ total players}$

= $\frac{99.921}{16}$

=6.24505625= 6.245

Hence, each player will get around 6.245 ounces of the drink.

Number 4:

36 inches or 3 feet is the correct answer

Number 5 ;

The correct answer for the question that is being presented above is this one: "10 pounds." An office supply company is shipping a case of wooden pencils to a store. There are 64 boxes of pencils in the case. If each box of pencils weighs 2.5 ounces, then...

There are:

64 boxes of pencils

1 box weighs 2.5 ounces

Find its total weight in pounds.

1 ounce = 0.0625 pounds

64 boxes * 2.5 ounces = 160 ounces

160 ounces * 0.0625 pounds/1 oz = 10 pounds.

The 64 boxes of pencils weigh 10 pounds.

8 0

3 years ago

Find the lim a to b idk hiw to do it

Elina [12.6K]

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\\\\\\
\lim\limits_{a\to b} \cfrac{\underline{(a-b)}(a-2b)}{\underline{a-b}}
\implies 
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3 years ago

4x + 1/3 y 2 what is the value of the expression above when x = 2 and y = 3

GenaCL600 [577]

Hoi!

To solve this, first plug in the values for x and y.

x = 2, so anywhere you see x, put 2 in its place.

y = 3, so anywhere you see y, put 3 in its place.

$4(2) + \frac{1}{2}(3)$

4 × 2 = 8

$\frac{1}{2}$ × 3 = $1 \frac{1}{2}$

$8 +1 \frac{1}{2}$ = $9 \frac{1}{2}$

$9 \frac{1}{2}$ is your answer.

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