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2 years ago

6

The science fair judges will be science teachers. Each judge will only have time to view 5 science fair projects. There are 133

science teachers. What is the fewest number of volunteers needed to have enough judges for all of the projects

1 answer:

Whitepunk [10]2 years ago

5 0

There will need to 27 science teachers

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Consider the graph that represents the following quadratic equation y=-1/3(x+2)^2+5

makkiz [27]

We have that
<span>y=-1/3(x+2)</span>²<span>+5

using a graph tool
see the attached figure

we know that
1) the graph open downward
2) the vertex of the graphic is the point (-2,5)
3) the axis of symmetry of the graph is x=-2
4) the x intercept values are (-5.873,0) and (1.873,0)
5) the y intercept value is (0,3.667)
</span><span>
</span>

7 0

2 years ago

The water is filling a swimming pool at a rate of 1000 gallons every 15 minutes. At this rate, how long will it take to fill a s

allochka39001 [22]

Answer:

2 hours and 30 minutes to fill it up

Step-by-step explanation:

3 0

2 years ago

What is the solution for the equation StartFraction 5 Over 3 b cubed minus 2 b squared minus 5 EndFraction = StartFraction 2 Ove

wolverine [178]

Answer:

The solutions are:

$b=0,\:b=4$

Step-by-step explanation:

Considering the expression

$\frac{5}{3b^3-2b^2-5}=\frac{2}{b^3-2}$

Solving the expression

$\frac{5}{3b^3-2b^2-5}=\frac{2}{b^3-2}$

$\mathrm{Apply\:fraction\:cross\:multiply:\:if\:}\frac{a}{b}=\frac{c}{d}\mathrm{\:then\:}a\cdot \:d=b\cdot \:c$

$5\left(b^3-2\right)=\left(3b^3-2b^2-5\right)\cdot \:2$

$5b^3-10=6b^3-4b^2-10$

$\mathrm{Switch\:sides}$

$6b^3-4b^2-10=5b^3-10$

$6b^3-4b^2-10+10=5b^3-10+10$

$6b^3-4b^2=5b^3$

$\mathrm{Subtract\:}5b^3\mathrm{\:from\:both\:sides}$

$6b^3-4b^2-5b^3=5b^3-5b^3$

$b^3-4b^2=0$

$Using\:the\:Zero\:Factor\:Principle:$ $if\:\mathrm ab=0\:\mathrm{then}\:a=0\:\mathrm{or}\:b=0\:\left(\mathrm{or\:both}\:a=0\:\mathrm{and}\:b=0\right)$

So,

$b=0,b-4=0$

$b=0,b=4$

Therefore, the solutions are:

$b=0,\:b=4$

4 0

2 years ago

Read 2 more answers

What statement are true about this expression 2/3n +58.6

vampirchik [111]

Step-by-step explanation:

perdon no entindo

6 0

2 years ago

Help please ! I’m stuck

Troyanec [42]

Y=1x-10 (sorry I could be wrong)

4 0

2 years ago