All categories

3 years ago

Which is the best estimate for (8.9x10^8)/(3.3x10^4) written in scientific notation? A. 3x10^2 B. 6x10^2 C. 3x10^4 D. 6x10^4

Mathematics

2 answers:

xenn [34]3 years ago

7 0

Esitmate:
9 /3 = 3
and
8-4 = 4
so it would be 3x10^4
answer is C

son4ous [18]3 years ago

3 0

Answer:

Option C

Step-by-step explanation:

The given expression is $\frac{8.9\times 10^{8}}{3.3\times 10^{4}}$

Now we have to solve this.

$\frac{8.9\times 10^{8}}{3.3\times 10^{4}}$

$=\frac{8.9}{3.3}\times \frac{10^{8}}{10^{4}}$

= 2.70 × 10⁽⁸⁻⁴⁾

= 2.70 × 10⁴

≈ 3 × 10⁴

Therefore, Option C is the answer.

You might be interested in

2.5 gallons of water are poured into 5 equally sized bottles . How much water is in each bottle

cestrela7 [59]

Answer:

0.5

Step-by-step explanation:

divide 2.5 and 5 since they are equal sized bottles.

8 0

3 years ago

Read 2 more answers

Write 4 hundred 16 tens 5 ones in standard form

In-s [12.5K]

565 is the correct answer

6 0

3 years ago

Read 2 more answers

What is the measure of ∠x?

Dima020 [189]

The angle is a complementary angle so both angles add up to 90 degrees

Therefore set your equation equal to 90 to find angle of x

53+x=90

Subtract 53 from both sides

X= 37 degrees

6 0

3 years ago

If x^2y-3x=y^3-3, then at the point (-1,2), (dy/dx)?

zavuch27 [327]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2866883

_______________

   dy
Find —— for an implicit function:
    dx

x²y – 3x = y³ – 3

First, differentiate implicitly both sides with respect to x. Keep in mind that y is not just a variable, but it is also a function of x, so you have to use the chain rule there:

$\mathsf{\dfrac{d}{dx}(x^2 y-3x)=\dfrac{d}{dx}(y^3-3)}\\\\\\
\mathsf{\dfrac{d}{dx}(x^2 y)-3\,\dfrac{d}{dx}(x)=\dfrac{d}{dx}(y^3)-\dfrac{d}{dx}(3)}$

Applying the product rule for the first term at the left-hand side:

$\mathsf{\left[\dfrac{d}{dx}(x^2)\cdot y+x^2\cdot \dfrac{d}{dx}(y)\right]-3\cdot 1=3y^2\cdot \dfrac{dy}{dx}-0}\\\\\\
\mathsf{\left[2x\cdot y+x^2\cdot \dfrac{dy}{dx}\right]-3=3y^2\cdot \dfrac{dy}{dx}}$

   dy
Now, isolate —— in the equation above:
   dx

$\mathsf{2xy+x^2\cdot \dfrac{dy}{dx}-3=3y^2\cdot \dfrac{dy}{dx}}\\\\\\
\mathsf{2xy+x^2\cdot \dfrac{dy}{dx}-3-3y^2\cdot \dfrac{dy}{dx}=0}\\\\\\
\mathsf{x^2\cdot \dfrac{dy}{dx}-3y^2\cdot \dfrac{dy}{dx}=-\,2xy+3}\\\\\\
\mathsf{(x^2-3y^2)\cdot \dfrac{dy}{dx}=-\,2xy+3}$

$\mathsf{\dfrac{dy}{dx}=\dfrac{-\,2xy+3}{x^2-3y^2}\qquad\quad for~~x^2-3y^2\ne 0}$

Compute the derivative value at the point (– 1, 2):

x = – 1 and y = 2

$\mathsf{\left.\dfrac{dy}{dx}\right|_{(-1,\,2)}=\dfrac{-\,2\cdot (-1)\cdot 2+3}{(-1)^2-3\cdot 2^2}}\\\\\\
\mathsf{\left.\dfrac{dy}{dx}\right|_{(-1,\,2)}=\dfrac{4+3}{1-12}}\\\\\\
\mathsf{\left.\dfrac{dy}{dx}\right|_{(-1,\,2)}=\dfrac{7}{-11}}\\\\\\\\ \therefore~~\mathsf{\left.\dfrac{dy}{dx}\right|_{(-1,\,2)}=-\,\dfrac{7}{11}}\quad\longleftarrow\quad\textsf{this is the answer.}$

I hope this helps. =)

Tags: <em>implicit function derivative implicit differentiation chain product rule differential integral calculus</em>

6 0

3 years ago

Please help 20 pts marks brsinletsts

fgiga [73]

Answer:

(0,8)

Step-by-step explanation:

That's the only one that is in both the red and orange parabola

6 0

3 years ago