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joja [24]
3 years ago
5

4. Dominick sent the following number of text messages each day over the last week:

Mathematics
1 answer:
Viktor [21]3 years ago
7 0
Add all of the numbers and divide by the amount of numbers added
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Calculate the area of the regular pentagon below:
KIM [24]
The answer is 858.55 because A=145(5+25)a2
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Amelia launched her science fair rocket, and then backed away. The path of the rocket is given by the equation below, where y is
Mamont248 [21]

Answer:

1)The rocket hit the ground at     x = \frac{5}{4}

2)The maximum height of the rocket = 12.468 feet

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given equation  

                y = -2 x² + 5 x + 7 ...(i)

Differentiating equation (i) with respective to 'x' , we get

             \frac{dy}{dx} = -2( 2x) +5(1) =  -4x +5

Equating zero

            \frac{dy}{dx} = 0

⇒      -4 x +5 =0

⇒      -4 x = -5

⇒          x = \frac{5}{4}

<em> The rocket hit the ground at     </em>x = \frac{5}{4}<em></em>

<u><em>Step(ii):</em></u>-

    \frac{dy}{dx}  =  -4x +5  ...(ii)

Again differentiating equation (ii) with respective to 'x' , we get

 \frac{d^{2} y}{dx^{2} }  = - 4(1)

The maximum height at x = \frac{-5}{4}

  y = -2 x² + 5 x + 7

 y = -2 (\frac{5}{4})^{2}  + 5 (\frac{5}{4} )  + 7

y = \frac{-2(25)+ 25 (16)+7(64)}{64}

y = \frac{798}{64} = 12.468 feet

<em>The maximum height of the rocket = 12.468 feet</em>

       

4 0
3 years ago
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harina [27]

\\ \sf\longmapsto S_n=\dfrac{a(1-r^n)}{1-r}

\\ \sf\longmapsto S_n=\dfrac{160(1-0.5^6)}{1-0.5}

\\ \sf\longmapsto S_n=\dfrac{160(1-0.015625)}{0.5}

\\ \sf\longmapsto S_n=\dfrac{160(0.984378)}{0.5}

\\ \sf\longmapsto S_n=80(0.984378)

\\ \sf\longmapsto S_n=78.75

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Caroline, krutika and Natasha share some sweets in the ratio 4:5:1
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Ratio 4 is for Caroline, ratio 5 is for krutika, ratio 1 is for Natasha

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