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uranmaximum [27]
3 years ago
10

How many unit cubes to fill a box that measures 3 x 5 x 7

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
6 0

Answer:105

Step-by-step explanation:cause you multiply all of them together

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How many square feet of outdoor carpet will we need for this hole ?
mezya [45]
To start solving, separate this shape into 2 separate shapes. The dimensions of the smaller shape are 2 by 3 feet. The dimensions of the larger one are 3 by 11 feet. To find the area of an object, multiply its dimensions. Therefore, you multiply 2 by 3 and 3 by 11. You will get the products 6 and 33. Since we are still working within the same shape, however, you add the products together. You get 39. Therefore, 39 ft. squared is the answer.
6 0
2 years ago
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The product of (a − b)(a − b) is a2 − b2.<br> A. Sometimes<br> B. Always<br> C. Never
Damm [24]

(a-b)(a-b)=a^2-2ab+b^2\\\\a^2-2ab+b^2=a^2-b^2\\2b^2=2ab\\b^2=ab\implies a=b \vee b=0

So, sometimes.

8 0
2 years ago
Find a linear second-order differential equation f(x, y, y', y'') = 0 for which y = c1x + c2x3 is a two-parameter family of solu
Alisiya [41]
Let y=C_1x+C_2x^3=C_1y_1+C_2y_2. Then y_1 and y_2 are two fundamental, linearly independent solution that satisfy

f(x,y_1,{y_1}',{y_1}'')=0
f(x,y_2,{y_2}',{y_2}'')=0

Note that {y_1}'=1, so that x{y_1}'-y_1=0. Adding y'' doesn't change this, since {y_1}''=0.

So if we suppose

f(x,y,y',y'')=y''+xy'-y=0

then substituting y=y_2 would give

6x+x(3x^2)-x^3=6x+2x^3\neq0

To make sure everything cancels out, multiply the second degree term by -\dfrac{x^2}3, so that

f(x,y,y',y'')=-\dfrac{x^2}3y''+xy'-y

Then if y=y_1+y_2, we get

-\dfrac{x^2}3(0+6x)+x(1+3x^2)-(x+x^3)=-2x^3+x+3x^3-x-x^3=0

as desired. So one possible ODE would be

-\dfrac{x^2}3y''+xy'-y=0\iff x^2y''-3xy'+3y=0

(See "Euler-Cauchy equation" for more info)
6 0
3 years ago
Does (-3, -7) make the equation y = 4x + 5 true?
choli [55]

Answer: Yes. True

Step-by-step explanation:

In (-3, -7) , -3 is x and -7 is y.

Now, put those values in the equation.

y = 4x + 5

-7 = (4×-3)+5

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-7 = -7, which is true

5 0
3 years ago
The frequency table shows the ages of the actors
Oksanka [162]

The percentage of youth that are category 10 to 12 is the quotient of  their frequency to the total frequency

55% of the actors are 10 to 12 years old

<h3>How to determine the percentage?</h3>

From the complete question, we have the following parameters

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The percentage of youth in the age category 10 - 12 is then calculated as:

Percentage = Frequency of age category 10 - 12/Total frequency

This gives

Percentage = 22/40

Evaluate the quotient

Percentage = 55%

Hence, 55% of the actors are 10 to 12 years old

Read more about frequency tables at:

brainly.com/question/16148316

3 0
2 years ago
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