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NARA [144]
3 years ago
13

Simplify: 4x + 4y + 4z

Mathematics
2 answers:
Alexxandr [17]3 years ago
6 0
The answer is 4(x+y+z)
Zina [86]3 years ago
5 0

Answer:

4(x+y+z)

Step-by-step explanation:

The given expression is

4x+4y+4z

Simplify in this context means factorize, which we can do by extracting the common factor 4, which is present in every term of the expression. So, it would result

4x+4y+4z=4(x+y+z)

Remember that to extract a common factor, we just have to divide that factor from each term, and then place it in front of the expression as a factor.

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Part A: The sun produces 3.9 ⋅ 1033 ergs of radiant energy per second. How many ergs of radiant energy does the sun produce in 3
cluponka [151]
Pa:485.6

Pb:3947.9

Hope this helped!! :)
6 0
2 years ago
There are 2 different maps of California. The scale on the first map is 1cm to 20km. The distance from Fresno to San Francisco i
Oksi-84 [34.3K]

Answer:

75 km

Step-by-step explanation:

Given the following :

Scale on first map = 1cm to 20 km

Distance fromFresno to San Francisco = 15km on first map

Scale on 2nd map = 1cm to 100 km

1cm / 20km = 15km

Let of Distance from Fresno to San Francisco on 2nd map = d

1cm / 100km = d

1 : 20 = 15

1 : 100 = d

20/ 100 = 15/d

1/5 = 15/d

d = 15 * 5

d = 75 km

8 0
3 years ago
What is the exponet of 10×10
Ivanshal [37]
The exponent of 10x10 is 100

5 0
3 years ago
Read 2 more answers
Integration of sin^2 2x cos^3 2x dx
lilavasa [31]

\int\left[\sin^2(2x)\cos^3(2x)\right]dx=\int\left[\sin^2(2x)\cos^2(2x)\cos(2x)\right]dx\\\\\text{Use the trigonometric identity}\sin^2(x)+\cos^2(x)=1\to\cos^2(x)=1-\sin^2(x)\\\\=\int\left\{\sin^2(2x)[1-\sin^2(2x)]\cos(2x)\right\}dx\\\\\text{substitute}\ \sin2x=t\ \to\ 2\cos2x\ dx=dt\ \to\ \cos2x\ dx=\dfrac{1}{2}\ dt\\\\=\dfrac{1}{2}\int\left[t^2(1-t^2)\right]dt=\dfrac{1}{2}\int(t^2-t^4)dt=\dfrac{1}{2}\left(\dfrac{1}{3}t^3-\dfrac{1}{5}t^5\right)+C


=\dfrac{1}{2}\left(\dfrac{1}{3}\sin^3(2x)-\dfrac{1}{5}\sin^5(2x)\right)+C

4 0
3 years ago
Prove algebraically that r = 10/2+2sinTheta is a parabola
Xelga [282]

Answer:

y =  -  \frac{ 1 }{10} {x}^{2}   +  \frac{5}{2}

Step-by-step explanation:

We want to prove algebraically that:

r =  \frac{10}{2 + 2 \sin \theta}

is a parabola.

We use the relations

{r}^{2}  =  {x}^{2}  +  {y}^{2}

and

y = r \sin \theta

Before we substitute, let us rewrite the equation to get:

r(2 + 2 \sin \theta) = 10

Or

r(1+  \sin \theta) = 5

Expand :

r+  r\sin \theta= 5

We now substitute to get:

\sqrt{ {x}^{2}  +  {y}^{2} }  + y = 5

This means that:

\sqrt{ {x}^{2}  +  {y}^{2} }=5 - y

Square:

{x}^{2}  +  {y}^{2} =(5 - y)^{2}

Expand:

{x}^{2}  +  {y}^{2} =25 - 10y +  {y}^{2}

{x}^{2}  =25 - 10y

{x}^{2}  - 25 =  - 10y

y =  -  \frac{ {x}^{2} }{10}  +  \frac{5}{2}

This is a parabola (0,2.5) and turns upside down.

4 0
3 years ago
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