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ahrayia [7]
3 years ago
13

Factorise fully the following: a) 3x^3-9x b) 4x^2+28^3

Mathematics
1 answer:
Leokris [45]3 years ago
3 0

Answer:

3 x(x^2-3)

4x(x^2+5488)

Step-by-step explanation:

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I am completely lost.
Lesechka [4]
The surface area of a solid is just the total area of all its faces. We know a cube has 6 identical faces with area s^2 where s is the side length.

So 6s^2 is the surface area. We can use this to find s.

6s^2 = 600

s^2 = 100

s = 10 cm










6 0
3 years ago
The sum of two consecutive odd integers is 236. What is smaller integers
evablogger [386]
I'll say the first integer is x.  The next consecutive odd number would be x+2.  If the sum of the odd integers is 236, the equation would be
x + (x + 2) = 236
solve for x
2x + 2 = 236    
subtract 2 from each side of the equation
2x = 234
divide both sides by 2
x = 117
117 is the first odd integer.  to find the other integer (x + 2), substitute 117 for x, and you have 117 + 2, which equals 119
The two consecutive odd integers that add up to 236 are 117 and 119.
6 0
3 years ago
5. Consider the diagram below. Choose the correct statement."
Ivanshal [37]

Answer:

Option (3)

Step-by-step explanation:

Option (1).

AB and SE are coplanar.

Incorrect.

AB lies in a plane ABS and SE lies in another plane SEL.

Option (2).

TS and SE intersect at E.

Incorrect.

They intersect at S.

Option (3).

R intersects K at SB.

Correct.

Since line of intersection of planes R and K is SB

Option (4)

AB and BL are perpendicular at B.

Incorrect.

Angle between them is not 90°.

6 0
3 years ago
THERE ARE 3 BAGS OF APPLES WEIGHING A TOTAL OF 22 1/2 POUNDS. TWO OF THE BAGS WEIGH 6 3/8 POUNDS AND 3 1/4 POUNDS. HOW MUCH DOES
Mkey [24]
I wasn't going to click on this one, but the all-caps enthralled me and hypnotized me.

first off, let's change all the mixed fractions to "improper" and proceed from there, keep in mind that if we subtract the two bags' weight from the total, what's leftover is the 3rd bag's weight.

\bf \stackrel{mixed}{22\frac{1}{2}}\implies \cfrac{22\cdot 2+1}{2}\implies \stackrel{improper}{\cfrac{45}{2}}
\\\\\\
\stackrel{mixed}{6\frac{3}{8}}\implies \cfrac{6\cdot 8+3}{8}\implies \stackrel{improper}{\cfrac{51}{8}}
\\\\\\
\stackrel{mixed}{3\frac{1}{4}}\implies \cfrac{3\cdot 4+1}{4}\implies \stackrel{improper}{\cfrac{13}{4}}\\\\
-------------------------------\\\\

\bf \stackrel{\textit{sum of the two bags}}{\cfrac{51}{8}+\cfrac{13}{4}}\impliedby \textit{our LCD is 8}\implies \cfrac{(1)51+(2)13}{8}
\\\\\\
\cfrac{51+26}{8}\implies \cfrac{77}{8}\\\\
-------------------------------\\\\
\stackrel{total}{\cfrac{45}{2}}~-~\stackrel{two~bags}{\cfrac{77}{8}}\impliedby \textit{our LCD is again 8}\implies \cfrac{(4)45-(1)77}{8}
\\\\\\
\cfrac{180~~-~~77}{8}\implies \cfrac{103}{8}\implies \stackrel{third~bag}{12\frac{7}{8}}
3 0
3 years ago
Dr. Ashby is studying the heart rate of adult men. Preliminary data suggests that the standard deviation of heart rates for adul
jok3333 [9.3K]

Answer:

n=42 adult men

Step-by-step explanation:

-The minimum sample size to get a desired margin of error, E is calculated using the formula:

n\geq( \frac{z\sigma}{E})^2

-Given that \sigma=7.5, \ \ E=3\ , \ z_{0.005}=2.58, we can substitute to solve for n in the above formula:

n\geq (\frac{z\sigma}{E})^2\\\\\therefore n=(\frac{z_{\alpha/2}\sigma}{E})^2\\\\=(\frac{2.58\times7.5}{3})^2\\\\=41.6025\approx42

Hence, the desired minimum sample size, n is 42 adult men.

4 0
3 years ago
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