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3 years ago

Month Weight (lbs)

Mathematics

1 answer:

alexdok [17]3 years ago

5 0

Answer:

$\boxed{\text{D. 11.6 lb}}$

Step-by-step explanation:

The mean is the sum of the weights divided by the number of weighings.

$\text{Mean}= \dfrac{13.5 + 12.5 + 10.5 + 11.2 + 11.2 + 10.8 + 9.5 + 13.4 + 11.5 + 11.8}{10}\\\\= \dfrac{115.9}{10} \approx \mathbf{11.6}\\\\\text{Heather is predicting that Sally will weigh } \boxed{\textbf{11.6 lb}}$

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There were 350 members in the high school marching band last year. This year, the number of marching band members increased by 5

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Answer:

The percentage of the number of marching band members increased by 16% this year.

Step-by-step explanation:

$\frac{56}{350}$ x 100% = 16%

56 is 16% of 350

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3 years ago

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Your family went on a road trip. They drove for 12 hours in one day. Your mom drove 5 / 6 of that time. How much of the time did

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Step-by-step explanation:

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4 years ago

Quadrilateral ABCD is inscribed in the circle. If m∠A = 95°, what also must be true?

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3 years ago

The volume V of an ice cream cone is given by V = 2 3 πR3 + 1 3 πR2h where R is the common radius of the spherical cap and the c

Nuetrik [128]

Answer:

The change in volume is estimated to be 17.20 $\rm{in^3}$

Step-by-step explanation:

The linearization or linear approximation of a function $f(x)$ is given by:

$f(x_0+dx) \approx f(x_0) + df(x)|_{x_0}$ where $df$ is the total differential of the function evaluated in the given point.

For the given function, the linearization is:

$V(R_0+dR, h_0+dh) = V(R_0, h_0) + \frac{\partial V(R_0, h_0)}{\partial R}dR + \frac{\partial V(R_0, h_0)}{\partial h}dh$

Taking $R_0=1.5$ inches and $h=3$ inches and evaluating the partial derivatives we obtain:

$V(R_0+dR, h_0+dh) = V(R_0, h_0) + \frac{\partial V(R_0, h_0)}{\partial R}dR + \frac{\partial V(R_0, h_0)}{\partial h}dh\\V(R, h) = V(R_0, h_0) + (\frac{2 h \pi r}{3} + 2 \pi r^2)dR + (\frac{\pi r^2}{3} )dh$

substituting the values and taking $dx=0.1$ and $dh=0.3$ inches we have:

$V(R_0+dR, h_0+dh) =V(R_0, h_0) + (\frac{2 h \pi r}{3} + 2 \pi r^2)dR + (\frac{\pi r^2}{3} )dh\\V(1.5+0.1, 3+0.3) =V(1.5, 3) + (\frac{2 \cdot 3 \pi \cdot 1.5}{3} + 2 \pi 1.5^2)\cdot 0.1 + (\frac{\pi 1.5^2}{3} )\cdot 0.3\\V(1.5+0.1, 3+0.3) = 17.2002\\\boxed{V(1.5+0.1, 3+0.3) \approx 17.20}$

Therefore the change in volume is estimated to be 17.20 $\rm{in^3}$

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3 years ago

ricardo purchased a bunk bed for his children fora sale price of $276.25. The sale price was 65% of the original price. Calculat

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Use the formula S=P-PD

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Hope this helps, now you know the answer and how to do it. Stay healthy and safe and HAVE A BLESSED AND WONDERFUL DAY! :-)

- Cutiepatutie ☺❀❤

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