Can someone answer this for me please

Mathematics

1 answer:

lesantik [10]3 years ago

6 0

Answer:

9 fruit tarts.

Step-by-step explanation:

What the question is essentially asking is: "If we split 6 whole cups into thirds of a cup, how many groups of 2 can we make out of those thirds?" Well, we have 3 thirds in every whole, so 6 wholes gives us 6 x 3 = 18 thirds. We can make 9 groups of 2 from 18, so our answer is 9 fruit tarts.

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GRAVITATION The height h(t) in feet of an object t seconds after it is propelled straight up from the ground with an initial vel

zhuklara [117]

<h3>Option B</h3><h3>At 2 second and 1.75 second, the object be at a height of 56 feet</h3>

Solution:

Given that,

The height h(t) in feet of an object t seconds after it is propelled straight up from the ground with an initial velocity of 60 feet per second is modeled by the equation:

$h(t) = -16t^2 + 60t$

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$56 = -16t^2 + 60t\\\\16t^2 - 60t + 56 = 0\\\\Divide\ the\ equation\ by\ 4\\\\4t^2 - 15t + 14=0$

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$\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}$

$\mathrm{For\:}\quad a=4,\:b=-15,\:c=14\\\\x =\frac{-\left(-15\right)\pm \sqrt{\left(-15\right)^2-4\cdot \:4\cdot \:14}}{2\cdot \:4}\\\\Simplify\\\\x = \frac{15 \pm \sqrt{1}}{8}\\\\x = \frac{15 \pm 1}{8}\\\\We\ have\ two\ solutions\\\\x = \frac{15+1}{8} \text{ and } x = \frac{15-1}{8}\\\\x = 2 \text{ and } 1.75$