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3 years ago

7

Brooklyn has $88 in her savings account she say the same amount of money each week for 32 weeks after which she has a total of $

200 in her account how much did she save each week

1 answer:

jeyben [28]3 years ago

3 0

$200 - $88 = $112

$112 / 32 weeks = $3.50

Brooklyn saved $3.50 each week

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drew 's tree company delivered pear tree in groups of 4.yesterday the company delivered 8 groups of pears trees how many pear tr

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4 × 8 = 32

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3 years ago

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I need help now pleaseeee

Klio2033 [76]

Answer:

y=75° (opposite angle of parallelogramare equal)

x+8=16(opposite sides are equal)

x=16-8

x=8

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Type the correct answer in the box. express your answer to two significant figures. a reaction between 1.7 moles of zinc iodide

irga5000 [103]

The percent yield of zinc carbonate is 5.91%.

<h3>What is chemical reaction?</h3>

The chemical reaction is the reaction between two reactants which led to the formation of products.

The products are substances which forms after reaction. The reactants are the substances which are original materials.

Given is a reaction between 1.7 moles of zinc iodide and excess sodium carbonate yields 12.6 grams of zinc carbonate.

The given balanced equation is: Na₂CO₃ + ZnI₂ → 2NaI + ZnCO₃

From given moles of zinc iodide, the moles of zinc carbonate

1.7 moles of ZnI₂ = 1.7 moles of ZnCO₃

Molar mass of zinc carbonate is 125.38 g/mol

Theoretical yield = 1.7 moles of ZnCO₃ x 125.38 g/mol = 213.15 g ZnCO₃

Theoretical yield is 213.15 g and the actual yield is given as 12.6 g.

percent yield = [ 12.6 g / 213.15 g ZnCO₃ ] x 100

percent yield = 5.91%

The percent yield of zinc carbonate is 5.91%.

Learn more about chemical reaction.

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7 0

2 years ago

Which point lies on the line

Oksi-84 [34.3K]

Y + 8 = 4(x - 5)

distribute the 4 to both x and -5

4(x) = 4x
4(-5) = -20

y + 8 = 4x - 20

isolate the y, subtract 8 from both sides

y + 8 (-8) = 4x - 20 (-8)

y = 4x - 28

plug in the x given, if the y matches the answer given, it is the correct answer.

-8 = 4(5) - 28

-8 = 20 - 28

-8 = -8 (True)

D) (5,-8) should be your answer

hope this helps

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3 years ago

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The surface area of a right circular cone of radius r and height h is S = πr√ r 2 + h 2 , and its volume is V = 1 3 πr2h. What i

kirill115 [55]

Answer:

Required largest volume is 0.407114 unit.

Step-by-step explanation:

Given surface area of a right circular cone of radious r and height h is,

$S=\pi r\sqrt{r^2+h^2}$

and volume,

$V=\frac{1}{3}\pi r^2 h$

To find the largest volume if the surface area is S=8 (say), then applying Lagranges multipliers,

$f(r,h)=\frac{1}{3}\pi r^2 h$

subject to,

$g(r,h)=\pi r\sqrt{r^2+h^2}=8\hfill (1)$

We know for maximum volume $r\neq 0$ . So let $\lambda$ be the Lagranges multipliers be such that,

$f_r=\lambda g_r$

$\implies \frac{2}{3}\pi r h=\lambda (\pi \sqrt{r^2+h^2}+\frac{\pi r^2}{\sqrt{r^2+h^2}})$

$\implies \frac{2}{3}r h= \lambda (\sqrt{r^2+h^2}+\frac{ r^2}{\sqrt{r^2+h^2}})\hfill (2)$

And,

$f_h=\lambda g_h$

$\implies \frac{1}{3}\pi r^2=\lambda \frac{\pi rh}{\sqrt{r^2+h^2}}$

$\implies \lambda=\frac{r\sqrt{r^2+h^2}}{3h}\hfill (3)$

Substitute (3) in (2) we get,

$\frac{2}{3}rh=\frac{r\sqrt{R^2+h^2}}{3h}(\sqrt{R^2+h^2+}+\frac{r^2}{\sqrt{r^2+h^2}})$

$\implies \frac{2}{3}rh=\frac{r}{3h}(2r^2+h^2)$

$\implies h^2=2r^2$

Substitute this value in (1) we get,

$\pi r\sqrt{h^2+r^2}=8$

$\implies \pi r \sqrt{2r^2+r^2}=8$

$\implies r=\sqrt{\frac{8}{\pi\sqrt{3}}}\equiv 1.21252$

Then,

$h=\sqrt{2}(1.21252)\equiv 1.71476$

Hence largest volume,

$V=\frac{1}{3}\times \pi \times\frac{\pi}{8\sqrt{3}}\times 1.71476=0.407114$

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3 years ago