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Hoochie [10]
3 years ago
6

Find the volume of the composite figure​

Mathematics
1 answer:
Margaret [11]3 years ago
8 0

lets do this step by step.

First: we need to break this into to prisms.

Next lets say the dimensions:

4 x 2 x 1 and 2 x 2 x 1

now we multiply them and then add them

8 + 4 = 12

volume = 12 cubic units.

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in justin's school,0.825 of students participate in a sport. if there are one thousand students in justin's school, how many pat
goblinko [34]
175 because 1,000-825=175
7 0
3 years ago
Find f(x) if it is known that f(5a)=5a-2
Romashka-Z-Leto [24]

Answer:

f(x)=x-2

Step-by-step explanation:

You just have to change 5a for x

8 0
3 years ago
Suppose $p(x)$ is a monic cubic polynomial with real coefficients such that $p(3-2i)=0$ and $p(0)=-52$. determine $p(x)$ (in exp
Maslowich

If p(3-2i)=0, then complex number 3-2i is a root of cubic polynomial.

If polynomial has real coefficients, then conjugated 3+2i is also a root of polynomial.

Then the polynomial will be of a form

p(x)=(x-(3-2i))(x-(3+2i))(x-a).

Since p(0)=-52, then

-52=(0-(3-2i))(0-(3+2i))(0-a),\\ \\-52=(2i-3)(3+2i)a,\\ \\-52=(4i^2-9)a,\\ \\-52=(-4-9)a,\\ \\-13a=-52,\\ \\a=4.

Therefore,

p(x)=(x-(3-2i))(x-(3+2i))(x-4),\\ \\p(x)=(x^2-6x+13)(x-4),\\ \\p(x)=x^3-10x^2+37x-52.

3 0
3 years ago
Determine the quotient and the remainder in the division <br> (4x^4 - 1 ) ÷ x + 1
EastWind [94]

(4x^4-1)÷x+1

(256x-1)÷x+1

256-1+1

256

The first step shows the problem

The second step powers 4x 4 times

The third step removes x

The 4th step shows the problem after x is removed.

The 5th step is the answer: 256

7 0
3 years ago
370 weeks into years and weeks
lys-0071 [83]
370 weeks can also equal 7.09589041, if you need to simplify that just say 7 years
6 0
3 years ago
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