Pre algebra help ( will give brainliest ) sorry if it's hard to see

Lidocaine (2 grams) was prescribed in 500 mL of fluid at 2 mg/ minute, to be administered via an infusion pump. What is the flow

Luden [163]

9514 1404 393

Answer:

1/2 mL/min

Step-by-step explanation:

$\dfrac{2\text{ mg}}{\text{min}}\div\left(\dfrac{2\text{ g}}{500\text{ mL}}\times\dfrac{1000\text{ mg}}{\text{g}}\right)=\dfrac{2\times500\text{ mL}}{2\times1000\text{ min}}=\boxed{\dfrac{1}{2}\text{ mL/min}}$

__

<em>Additional comment</em>

The units analysis tells you how to work this problem. In order to get from mg/min to mL/min, you need to multiply by a factor with units mL/mg. Those units are the inverse of the concentration in mg/mL, which is found from g/mL.

3 0

3 years ago

Write an equation for the translation of x^2 + y^2 = 49 by 7 units right and 4 units up

Tatiana [17]

Answer:

(x - 7)² + (y - 4)² = 49

Step-by-step explanation:

Given

Equation: x² + y² = 49

Required:

New Equation when translated 7 units right and 4 units up

Taking it one step at a time.

When the equation is translated 7 units right, this implies a negative unit along the x axis.

The equation becomes

(x - 7)² + y² = 49

When the equation is translated 4 units up, this implies a negative unit along the y axis.

(x - 7)² + (y - 4)² = 49

The expression can be further simplified but it's best left in the form of

(x - 7)² + (y - 4)² = 49

8 0

3 years ago

Prove algebraically that (m + 2)2 – m 2 – 12 is always a multiple of 4

Julli [10]

Answer:

$(m + 2)^{2} - m^{2} - 12 = 4(m - 2)$

Step-by-step explanation:

Step 1:

Write the expression

$(m+2)^{2} - m^{2} - 12$

Step 2: Expand $(m + 2)^{2}$

$(m+2)^{2} - m^{2} - 12\\(m+2)(m+2) - m^{2} - 12\\m^{2} + 2m + 2m + 4 - m^{2} - 12$

Step 3: Collect similar terms

$m^{2} - m^{2} + 4m + 4 - 12\\4m - 8$

Step 4: Factor 4 out of the expression to prove that the expression is a multiple of 4.

$Therefore\\4m - 8 = 4(m - 2)\\Hence,\\(m+2)^{2} - m^{2} - 12 is a multiply of 4 because the expression is equal to 4(m-2)$

3 0

3 years ago

Help........can anyone answer this ....

Alexandra [31]

1) Lets say there is point A that is perpendicular to WX and has W in it.
2) To find YA, we have to 19 - 11 = 8
3) Do Pythagorean theorem to find WY, which is:

$\sqrt{ 42^{2} + 8^{2} } = \sqrt{1828} = 2 \sqrt{457}$

This is equal to 42.76 in decimal

8 0

3 years ago

Please help with 30!

Paladinen [302]

The equation of the graph y= $x^{3}-2x^{2} +3x-4$ has no symmetry