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weeeeeb [17]
2 years ago
10

Simplify it

29%29%288r%20-%202p%29" id="TexFormula1" title=" \frac{(6r+9p)(6r-9p)}{3} +( 7p+2(r - 3p))(8r - 2p)" alt=" \frac{(6r+9p)(6r-9p)}{3} +( 7p+2(r - 3p))(8r - 2p)" align="absmiddle" class="latex-formula">
thanks. ​
Mathematics
1 answer:
dimaraw [331]2 years ago
3 0

Answer:

28r^2 - 29p^2 + 4rp

Step-by-step explanation:

(2r+3p)(6r-9p)+(p+2r)(8r-2p) = 12r^2-18rp+18rp-27p^2+8rp-2p^2+16r^2-4rp =

28r^2 - 29p^2 + 4rp

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A company employs two shifts of workers. Each shift produces a type of gasket where the thickness is the critical dimension. The
AURORKA [14]

Answer:

(−0.103371 ; 0.063371) ;

No ;

( -0.0463642, 0.0063642)

Step-by-step explanation:

Shift 1:

Sample size, n1 = 30

Mean, m1 = 10.53 mm ; Standard deviation, s1 = 0.14mm

Shift 2:

Sample size, n2 = 25

Mean, m2 = 10.55 ; Standard deviation, s2 = 0.17

Mean difference ; μ1 - μ2

Zcritical at 95% confidence interval = 1.96

Using the relation :

(m1 - m2) ± Zcritical * (s1²/n1 + s2²/n2)

(10.53-10.55) ± 1.96*sqrt(0.14^2/30 + 0.17^2/25)

Lower boundary :

-0.02 - 0.0833710 = −0.103371

Upper boundary :

-0.02 + 0.0833710 = 0.063371

(−0.103371 ; 0.063371)

B.)

We cannot conclude that gasket from shift 2 are on average wider Than gasket from shift 1, since the interval contains 0.

C.)

For sample size :

n1 = 300 ; n2 = 250

(10.53-10.55) ± 1.96*sqrt(0.14^2/300 + 0.17^2/250)

Lower boundary :

-0.02 - 0.0263642 = −0.0463642

Upper boundary :

-0.02 + 0.0263642 = 0.0063642

( -0.0463642, 0.0063642)

7 0
3 years ago
The radius of a circle is 8 feet. What is the area of sector bounded by a 90° arc?
Lera25 [3.4K]

Since 90 degree is 1/4 of a circle, the area will be 1/4 th area of the full circle.

The radius is given by, r = 8 ft, therefore, the area of the full circle is,

\begin{gathered} A=\pi\times r^2 \\ A=3.14\times8^2=200.96ft^2 \end{gathered}

Therefore, the area of the sector is,

A^{\prime}=\frac{1}{4}\times200.96ft^2=50.24ft^2\begin{gathered} A^{\prime}=\frac{\theta}{360}\times\pi\times r^2 \\ \text{ =}\frac{\text{90}}{360}\times\pi\times8^2 \\ \text{ =}\frac{1}{4}\pi\times64=16\pi \end{gathered}

4 0
1 year ago
What is the volume of the prism?<br><br> ____ cm3
Volgvan
The volume of this prism is: 240 cm3.

Because, in order to find the volume you have to do: V = w h l = 4 x 15 x 4 = 240.

(V = volume, w = width, h = height, and l = length)

Hope I helped!

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3 years ago
N<br> +2=3<br> 10<br> what is "n"
s2008m [1.1K]

Answer:

n=36

Step-by-step explanation:

I dont know if thats how it was set up but here you go. I hope this helps. (I can change it if thats not how its set up)

3 0
3 years ago
3 2/5 times 3/4??<br><br>2 1/3 times 3 4/6??<br>​
Fed [463]

Answer:

i have the answer for the first one,  it is 2.55. hope this helps!!

Step-by-step explanation:

6 0
3 years ago
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