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2 years ago

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Mathematics

1 answer:

ira [324]2 years ago

4 0

Answer:

10...

Step-by-step explanation:

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Which number is not in scientific notation? Question 15 options: 1) 0.2 ⋅ 103 2) 3 ⋅ 1028 3) 1.03 ⋅ 10−2 4) 1.5 ⋅ 10−6

SashulF [63]

I believe it’s number 2.

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3 years ago

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Evaluate the line integral, where C is the given curve. (x + 6y) dx + x2 dy, C C consists of line segments from (0, 0) to (6, 1)

Dima020 [189]

Split $C$ into two component segments, $C_1$ and $C_2$ , parameterized by

$\mathbf r_1(t)=(1-t)(0,0)+t(6,1)=(6t,t)$

$\mathbf r_2(t)=(1-t)(6,1)+t(7,0)=(6+t,1-t)$

respectively, with $0\le t\le1$ , where $\mathbf r_i(t)=(x(t),y(t))$ .

We have

$\mathrm d\mathbf r_1=(6,1)\,\mathrm dt$

$\mathrm d\mathbf r_2=(1,-1)\,\mathrm dt$

where $\mathrm d\mathbf r_i=\left(\dfrac{\mathrm dx}{\mathrm dt},\dfrac{\mathrm dy}{\mathrm dt}\right)\,\mathrm dt$

so the line integral becomes

$\displaystyle\int_C(x+6y)\,\mathrm dx+x^2\,\mathrm dy=\left\{\int_{C_1}+\int_{C_2}\right\}(x+6y,x^2)\cdot(\mathrm dx,\mathrm dy)$

$=\displaystyle\int_0^1(6t+6t,(6t)^2)\cdot(6,1)\,\mathrm dt+\int_0^1((6+t)+6(1-t),(6+t)^2)\cdot(1,-1)\,\mathrm dt$

$=\displaystyle\int_0^1(35t^2+55t-24)\,\mathrm dt=\frac{91}6$

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2 years ago

A number cube is rolled many times with the results shown in the table below. What is the experimental probability of rolling an

irga5000 [103]

To find the experimental probability, you will add the outcomes that resulted in even number and make that a ratio to the total number of outcomes.

<u>(12 + 14 + 18)</u>
(13 + 12 + 12 +14 + 11 + 18)

44/80 = 0.55
0.55 = 55%

The answer is choice D.

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3 years ago

PLEASE HELP FAST!! Lake Alice is filled with alligators and turtles. The number of turtles is 16 less than 3 times the number of

san4es73 [151]

Answer:

72 alligators, 128 turtles

Step-by-step explanation:

When you put the words into the form of an equation, with a being alligators, you get

3a-16=200

So you have to do 'letters left numbers right'. This gives you

3a=216

Now you have to divide. 216 divided by 3 equals 72. So there are 72 alligators. 200 minus 72 equals 128, so there are 128 turtles

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2 years ago

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Redo! one geo question thank youu

svetlana [45]

Answer is in the pic above. Theorems used:

Exterior angle theorem

Inscribed angle theorem.

$\angle EBF=32.5°$

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2 years ago