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Alexeev081 [22]
3 years ago
8

120

Mathematics
1 answer:
Archy [21]3 years ago
8 0

Answer:

Step-by-step explanation:

4+7=11

multiple of 11

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Michael has 225 milliliters of a liquid. To find out the number of grams of calcium in this liquid, Michael multiplies the volum
bija089 [108]
In mathematical operations with significant figures the answer must r<span>eflects the reliability of the least precise number. 225 has three significant figures, whereas 0.015 has two -leading zeroes are not significant figures, so our answer must have two significant figures to reflect the reliability of the number 0.015, which has two significant figures.
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225*0.015=3.4

We can conclude that <span> the number representing the amount of calcium in the liquid will have two significant figures.</span>
5 0
3 years ago
Solve the equation for x∈Z <br><br>-x² +8x -14 ≥ 0
kenny6666 [7]
ax^2+bx+c=0\\\Delta=b^2-4ac\\if\ \Delta < 0\ then\ no\ solutions\\if\ \Delta=0\ then\ one\ solution:x=\frac{-b}{2a}\\if\ \Delta > 0\ then\ two\ solutions:x=\frac{-b\pm\sqrt\Delta}{2a}\\================================\\\\-x^2+8x-14\geq0\ \ \ \ |multiply\ both\ sides\ by\ (-1)\ \{change\ \geq\ on\ \leq\}\\\\x^2-8x+14\leq0\\\\a=1;\ b=-8;\ c=14\\\\\Delta=(-8)^2-4\cdot1\cdot14=64-56=8 > 0\\\sqrt\Delta=\sqrt8=\sqrt{4\cdot2}=\sqrt4\cdot\sqrt2=2\sqrt2

x_1=\frac{-(-8)-2\sqrt2}{2\cdot1}=\frac{8-2\sqrt2}{2}=\frac{8}{2}-\frac{2\sqrt2}{2}=\boxed{4-\sqrt2}\\\\x_2=\frac{-(-8)+2\sqrt2}{2\cdot1}=\frac{8+2\sqrt2}{2}=\frac{8}{2}+\frac{2\sqrt2}{2}=\boxed{4+\sqrt2}\\\\============================

ax^2+bx+c=0\\\\if\ a > 0\ then\ the\ parabola\ o pen\ up\\if\ a < 0\ then\ the\ parabola\ o pen\ down\\========================\\\\a=1 > 0-therefore\ o pen\ up\ (look\ at\ the\ picture)\\\\===============================\\\\Answer:x\in\left


Solutions\ in\ \mathbb{Z}:\\\\\sqrt2\approx1.4\\\\threfore:4-\sqrt2\approx4-1.4=2.6\ and\ 4+\sqrt2\approx4+1.4=5.4\\\\look\ at\ the\ second\ picture:x=3\ or\ x=4\ or\ x=5\ (x\in\{3;\ 4;\ 5\})

6 0
3 years ago
Read 2 more answers
How to solve equation by factoring 3x^2+16x-44=0
Alexxx [7]
The answer is x=1.76 or 2
3 0
3 years ago
HELP! BRAINLIEST AND 15 POINTS!
Rus_ich [418]

Step-by-step explanation:

first solve for h

fh(4)=f(\frac{4+3}{3} )=f(\frac{7}{3} )

f(\frac{7}{3} )=-3(\frac{7}{3} )-1=-7-1=-8

so fh(4)=-8

6 0
2 years ago
How many solutions does the system have?
Mrac [35]

Answer:

A Exactly one solution

Step-by-step explanation:

\left \{ {{6x-3y=9} \atop {6x+y=9}} \right.\\\\\left \{ {{6x-3y=9} \atop {-6x-y=-9}} \right\\\\Then, \\\\-4y=0\\\\\\ y=0\\\\

Putting y=0 at second equation, we have

-6x=-9\\\\x=\frac{9}{6} =\frac{3}{2}

The unique solution is (\frac{3}{2} , 0)

3 0
3 years ago
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