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oee [108]
3 years ago
6

The line plot shows the growth, In Inches, of Isabella's plant over 13 days. Growth of Isabella's Plant What is the total growth

, in inches, of Isabella's plant? Move a number to each box to show the answer.​
Mathematics
1 answer:
mart [117]3 years ago
6 0

Line plots are used to display data elements using markers

The total growth, in inches, of Isabella's plant is 4\frac{1}2 inches

<h3>How to determine the total growth</h3>

From the line plot, the total growth can be represented as:

Total = \frac 18 * 4 + \frac 28 * 2 + \frac 38 * 3 + \frac 48 * 1 + \frac 58 * 3

Evaluate the products

Total = \frac 48+ \frac 48 + \frac 98 + \frac 48 + \frac {15}8

Evaluate the sum

Total = \frac{4+4+9+4+15}8

Evaluate the numerator

Total = \frac{36}8

Evaluate the quotient

Total = 4\frac{1}2

Hence, the total growth, in inches, of Isabella's plant is 4\frac{1}2 inches

Read more about line plots at:

brainly.com/question/15853311

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Solve: (3x^2-y)dx + (4y^3-x)dy =0 and find the solution passing through (1,1).
nordsb [41]

Step-by-step explanation:

The given equation is

(3x^{2}-y)dx+(4y^{3}-x)dy=0\\M(x,y)dx+N(x,y)dy=0

As a check for exactness we have

\frac{\partial N}{\partial x}=\frac{\partial M}{\partial y}\\\\\therefore \frac{\partial N}{\partial x}=\frac{\partial (4y^{3}-x)}{\partial x} =-1\\\\\frac{\partial M}{\partial y}=\frac{\partial (3x^{3}-y)}{\partial y} =-1\\\\\therefore \frac{\partial N}{\partial x}=\frac{\partial M}{\partial y}=-1

Hence the given equation is an exact differential equation and thus the solution is given by

thus the solution is given by

u(x,y)=\int M(x,y)\partial x+\phi (y)\\\\u(x,y)=\int (3x^{2}-y)\partial x+\phi (y,c)\\\\u(x,y)=x^{3}-xy+\phi (y,c)\\\\

Similarly we have

u(x,y)=\int N(x,y)\partial y+\phi (x,c)\\\\u(x,y)=\int (4y^{3}-x)\partial y+\phi (x,c)\\\\u(x,y)=y^{4}-xy+\phi (x,c)\\\\

Comparing both the solutions we infer

\phi (x,c)=x^{3}+c

Hence the solution becomes

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given boundary condition is that it passes through (1,1) hence

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thus solution is

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4 0
3 years ago
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g100num [7]

Answer: not sure if that is a b but i beleive it is so

bh+hr=25

move all terms to the left side and set equal to 0. then set each factor equal to zero.

h= \frac{25}{b+r}

isolate the variable by dividing each side by factors that dont

contain the variable.

r=\frac{25}{h}-b

x=\frac{r-h}{y}

isolate the variable by dividing each side by factors that dont

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h=-xy+r

solve for r by simplifieng both sides of the equation, then isolating the variable.

r=xy+h

4 0
3 years ago
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