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Montano1993 [528]
3 years ago
6

A scientist uses an electron microscope to look at tiny structures called stereocillia, which sits in top of hair cells. The dia

meter of one sterocillium is found to be approximately 2.5 meters. What is the diameter expressed in a scientific notion
Mathematics
1 answer:
goldenfox [79]3 years ago
6 0

Answer:

<h2>2.5*10^0</h2>

Step-by-step explanation:

To write a number in scientific notation or standard form we write the number and multiply it by 10 to the power of any number

  The proper format for scientific notation is a x 10^b  and it is read "a times 10 to the power of b"

Given the diameter of 2.5

in standard form or scientific notation is 2.5*10^0

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What number is equivalent to 3/4 b-2/3 b =-9
Shtirlitz [24]
Hi,

b =  - 9 \\ \frac{3}{4}  \times b -  \frac{2}{3}   \\ 0.75 \times  - 9 - 0.67 \\  - 6.75 - 0.67 =   - 7.42

Answer: -7.42

Hope this helps.
r3t40
5 0
3 years ago
What is the largest possible integral value in the domain of the real-valued function
kotegsom [21]

Answer:

Max Value: x = 400

General Formulas and Concepts:

<u>Algebra I</u>

  • Domain is the set of x-values that can be inputted into function f(x)

<u>Calculus</u>

  • Antiderivatives
  • Integral Property: \int {cf(x)} \, dx = c\int {f(x)} \, dx
  • Integration Method: U-Substitution
  • [Integration] Reverse Power Rule: \int {x^n} \, dx = \frac{x^{n+1}}{n+1} + C

Step-by-step explanation:

<u>Step 1: Define</u>

f(x) = \frac{1}{\sqrt{800-2x} }

<u>Step 2: Identify Variables</u>

<em>Using U-Substitution, we set variables in order to integrate.</em>

u = 800-2x\\du = -2dx

<u>Step 3: Integrate</u>

  1. Define:                                                                                                            \int {f(x)} \, dx
  2. Substitute:                                                                                         \int {\frac{1}{\sqrt{800-2x} } } \, dx
  3. [Integral] Int Property:                                                                                     -\frac{1}{2} \int {\frac{-2}{\sqrt{800-2x} } } \, dx
  4. [Integral] U-Sub:                                                                                           -\frac{1}{2} \int {\frac{1}{\sqrt{u} } } \, du
  5. [Integral] Rewrite:                                                                                          -\frac{1}{2} \int {u^{-\frac{1}{2} }} \, du
  6. [Integral - Evaluate] Reverse Power Rule:                                                 -\frac{1}{2}(2\sqrt{u}) + C
  7. Simplify:                                                                                                         -\sqrt{u} + C
  8. Back-Substitute:                                                                                            -\sqrt{800-2x} + C
  9. Factor:                                                                                                           -\sqrt{-2(x - 400)} + C

<u>Step 4: Identify Domain</u>

We know from a real number line that we cannot have imaginary numbers. Therefore, we cannot have any negatives under the square root.

Our domain for our integrated function would then have to be (-∞, 400]. Anything past 400 would give us an imaginary number.

7 0
3 years ago
Given f(x)=x^3+kx-4, and x-1 is a factor of f(x), then what is the value of k?
Darina [25.2K]

Answer:

3

Step-by-step explanation:

If x-1 is a factor, then x=1 is a solution. So:

0=1³+1k-4

1k=3

k=3 .........

3 0
3 years ago
The sum of 4 times a number and 3 is 9
nalin [4]

Answer:

x = 6/4 or 1 1/2

Step-by-step explanation:

4x+3=9

Subtract the 3 from both sides

4x+3=9

    -3 -3

4x = 6

Divide both sides by 4

x = 6/4 or 1 1/2

3 0
3 years ago
During a sale at a furniture store, sofas were marked down 30%. You have a coupon for an additional 15% off. What is the final p
mrs_skeptik [129]

Answer:

327.25

Step-by-step explanation:

550*0.7=385

385*0.85=327.25

!!! MUST REMEMBER!!!

dont add 30% and 15% together, 15% is another discount on the price that has been marked down.

7 0
2 years ago
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