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1 year ago

If you diluted 300 mL of 8% benzocaine lotion to 5% how much could you produce

Mathematics

1 answer:

Nataliya [291]1 year ago

4 0

Answer:

you are diluting it 8/5 times, or 1.6 times.

You could make 230*1.6 ml of 5 percent lotion.

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Match each concept with its key characteristic.

Crank

1. It is the subset of a group - Group sample.

2. It equally favors all members of a group sample - Random sample.

3. It collects data on members of a group - Survey.

4. It does not equally favor all members of a group - Biased sample.

5. It includes all members of a group - Population.

6. It analyzes data collected from a group - Mean.

I have matched all concepts in accordance with statistical use, hope it helps.

6 0

2 years ago

Answer below these questions

timurjin [86]

Answer:

A: 6x⁸y⁵

B: 4x⁵z⁸

C: 48a¹²b⁵

D: 6s⁹t³

Step-by-step explanation:

When you multiply 2 exponents together, you add them. When you power an exponent, you multiply the 2 exponents together,

3x²2y⁴(2x⁶y)

6x⁸y⁵

xz³(4x⁴z⁵)

4x⁵z⁸

(4a³)²(3a⁶b⁵)

16a⁶(3a⁶b⁵)

48a¹²b⁵

6s⁵t(s⁴t²)

6s⁹t³

3 0

1 year ago

Determine the area (in units2) of the region between the two curves by integrating over the x-axis. y = x2 − 24 and y = 1

astra-53 [7]

Answer:

The area of the region between the two curves by integration over the x-axis is 9.9 square units.

Step-by-step explanation:

This case represents a definite integral, in which lower and upper limits are needed, which corresponds to the points where both intersect each other. That is:

$x^{2} - 24 = 1$

Given that resulting expression is a second order polynomial of the form $x^{2} - a^{2}$ , there are two real and distinct solutions. Roots of the expression are:

$x_{1} = -5$ and $x_{2} = 5$ .

Now, it is also required to determine which part of the interval $(x_{1}, x_{2})$ is equal to a number greater than zero (positive). That is:

$x^{2} - 24 > 0$

$x^{2} > 24$

$x < -4.899$ and $x > 4.899$ .

Therefore, exists two sub-intervals: $[-5, -4.899]$ and $\left[4.899,5\right]$ . Besides, $x^{2} - 24 > y = 1$ in each sub-interval. The definite integral of the region between the two curves over the x-axis is:

$A = \int\limits^{-4.899}_{-5} [{1 - (x^{2}-24)]} \, dx + \int\limits^{4.899}_{-4.899} \, dx + \int\limits^{5}_{4.899} [{1 - (x^{2}-24)]} \, dx$

$A = \int\limits^{-4.899}_{-5} {25-x^{2}} \, dx + \int\limits^{4.899}_{-4.899} \, dx + \int\limits^{5}_{4.899} {25-x^{2}} \, dx$

$A = 25\cdot x \right \left|\limits_{-5}^{-4.899} -\frac{1}{3}\cdot x^{3}\left|\limits_{-5}^{-4.899} + x\left|\limits_{-4.899}^{4.899} + 25\cdot x \right \left|\limits_{4.899}^{5} -\frac{1}{3}\cdot x^{3}\left|\limits_{4.899}^{5}$

$A = 2.525 -2.474+9.798 + 2.525 - 2.474$

$A = 9.9\,units^{2}$

The area of the region between the two curves by integration over the x-axis is 9.9 square units.

4 0

1 year ago

Enter the Correct answer in the box. Function g is graphed here. [see image] If function f is the parent exponential function f(

andrey2020 [161]

Answer:

g(x) = 1.1f(x + 1)

Step-by-step explanation:

g(x) is the translation of the parent function f(x) to left by 1 unit and slightly stretched vertically.

f(x) = 1.1f(x + 1)

<em>See attached with both graphs included</em>

4 0

1 year ago

Read 2 more answers

Evaluate the series shown. Then write an equivalent series using summation notation such that the lower index starts at 0.

Vitek1552 [10]

The summation indicates the sum from n = 1 to n = 3 of the expression 2(n+5).

2 (n+5) = 2n + 10

2n + 10 denotes an Arithmetic Series, with a common difference of two and first term as 12.

For n =1, it equals 12
For n = 2, it equals 14
For n = 3, it equals 16

So the sum from n=1 to n=3 will be 12 + 14 + 16 = 42

Sum of an Arithmetic Series can also be written as:

$S_{n} = \frac{n}{2}(2a_{1} +(n-1)d)$

Using the value of a₁ and d, we can simplify the expression as:

$S_{n} = \frac{n}{2} (24+2(n-1)) \\ \\ 
 S_{n} =n (12+(n-1))\\ \\ 
 S_{n} =n (11+n)$

This expression is equivalent to the given expression and will yield the same result.

For n=3, we get the sum as:

S₃ = 3(11+3) = 42

8 0

1 year ago

Read 2 more answers