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ololo11 [35]
3 years ago
7

The number 3.07 × 10 -4 written in standard form is _____.

Mathematics
1 answer:
Nina [5.8K]3 years ago
8 0

Answer:

0.000307

Step-by-step explanation:there will be no explaintion but it should be correct

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Find the length of the curve y = 3/5x^5/3 - 3/4x^1/3 + 6 for 1 < = x < = 8. The length of the curve is . (Type an exact an
Mashutka [201]

Answer:

\sqrt\frac{387}{20}

Step-by-step explanation:

Arc Length =\int\limits^a_b {\sqrt{1+(\frac{dy}{dx})^2 } } \, dx

y=\dfrac{3}{5}x^{\frac{5}{3}}-  \dfrac{3}{4}x^{\frac{1}{3}}+6

\frac{dy}{dx} =x^{\frac{2}{3}}-\dfrac{1}{4}x^{-\frac{2}{3}}

1+(\frac{dy}{dx})^2 }=1+(x^{\frac{2}{3}}-\dfrac{1}{4}x^{-\frac{2}{3}})^2\\=1+(x^{\frac{4}{3}}-\dfrac{1}{2}+ \dfrac{1}{16}x^{-\frac{4}{3}})

=\dfrac{1}{2}+x^{\frac{4}{3}}+ \dfrac{1}{16}x^{-\frac{4}{3}}

For the Interval 1\leq x\leq 8

Length of the Curve =\int\limits^8_1 {\sqrt{\dfrac{1}{2}+x^{\frac{4}{3}}+ \dfrac{1}{16}x^{-\frac{4}{3}} } } \, dx\\

Using T1-Calculator

=\sqrt\frac{387}{20}

3 0
4 years ago
PLEASE ANSWER ASASP!!!!!!<br> 4x + 10 = 30<br> what is x?
sveticcg [70]

Answer:

x=5

Step-by-step explanation:

4x+10=30

     -10   -10 on both sides

4x=20

Divide 4 on both sides

20/4=5

✨Hope this helps!!✨

4 0
3 years ago
Plz help ,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
Deffense [45]
Hi I figured it out for you all you need to do is plug in the X factor .number 3 is y=-1
5 0
3 years ago
Use the point-slope form from the previous question and fill-in the following table of values.
matrenka [14]

Answer:

Step-by-step explanation:

Slope of line through (0,-1) and (1,2) = (-1 - 2)/(0 - 1) = 3

Point-slope equation for line of slope 3 that passes through (0,-1):

y+1 = 3(x-0)

When x = 2:

y+1 = 3(2-0)

y = 3·2 - 1 = 5

When x = 3:

y+1 = 3(3-0)

y = 3·3-1 = 8

8 0
3 years ago
The store is selling lemons at $0.58 each. Each lemon yields about 2 tablespoons of juice. How much will it cost to buy enough l
avanturin [10]

Answer:

$4.64

Step-by-step explanation:

1 cup = 16 tablespoons

\frac{1}{2} cup = 8 tablespoons

Each lemon yields about 2 tablespoons of juice. You need 8 tablespoons for one lemon pie, so you need 8\div 2=4 lemons for one pie and 4\times 2=8 lemons for two pies.

The store is selling lemons at $0.58 each, hence, 8 lemons will cost

\$0.58\times 8=\$4.64

3 0
3 years ago
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