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2 years ago

14

4. Angela baked 24 cookies and gave 16 of

1 answer:

viktelen [127]2 years ago

5 0

Answer:

2/3

Step-by-step explanation:

Idk about the number line circling thing but here is the explanation.

if you see how many out of 24 cookies Angela gave, you see that she gives 16. This is equal to 16/24, which simplifies to 2/3.

Thus, Angela gives 2/3 of her cookies to her neighbor.

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Find r(t) if r'(t) = 5t4i + 6t5j + t k and r(1) = i + j.

Vladimir [108]

$\mathbf r(t)=\displaystyle\int(5t^4\,\mathbf i+6t^5\,\mathbf j+t\,\mathbf k)\,\mathrm dt$
$\mathbf r(t)=(t^5+C_1)\,\mathbf i+(t^6+C_2)\,\mathbf j+\left(\dfrac12t^2+C_3\right)\,\mathbf k$

Given $\mathbf r(1)=\mathbf i+\mathbf j$ , we have

$\begin{cases}1^5+C_1=1\\\\1^6+C_2=1\\\\\dfrac121^2+C_3=0\end{cases}\implies C_1=0,C_2=0,C_3=-\dfrac12$

so that the particular solution is

$\mathbf r(t)=t^5\,\mathbf i+t^6\,\mathbf j+\dfrac12(t^2-1)\,\mathbf k$

8 0

3 years ago

Find the perimeter and area of the following

elena55 [62]

16. PM = 26x + 8x^2y

A = 52x^3y

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3 0

2 years ago

The number of mosquitoes M(x), in millions, in a certain area depends on the June rainfall x, in inches: M(x) = 13 x - x2. What

My name is Ann [436]

Answer:

The number of mosquitoes is maximum for 6.5 inches rainfall.

Step-by-step explanation:

The given function is

$M(x)=13x-x^2$ .... (1)

where, M(x) is number of mosquitoes in millions and x the June rainfall in inches.

We need to find the rainfall that produces the maximum number of mosquitoes.

Differential the above function with respect to x.

$M'(x)=13-2x$ .... (2)

Equate first derivative equal to 0.

$13-2x=0$

$2x=13$

$x=\frac{13}{2}=6.5$

Differential function (2) with respect to x.

$M''(x)=-2$

Double derivative is negative. So, the value of function is maximum at x=6.5.

Therefore, the number of mosquitoes is maximum for 6.5 inches rainfall.

4 0

3 years ago

Given two points (-3,-8) and (2,7)

MaRussiya [10]

Answer:

M=3

Step-by-step explanation:

Use the slope formula

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3 years ago

"-8 is 12 less than a number."

stiks02 [169]

Answer:

The answer would be x<4

7 0

3 years ago