As a nurse, part of your daily duties is to mix medications in the proper proportions for your patients. For one of your regular patients, you always mix Medication A with Medication B in the same proportion. Last week, your patient's doctor indicated that you should mix 100 milligrams of Medication A with 80 milligrams of Medication B. However this week, the doctor said to only use 16 milligrams of Medication B. How many milligrams of Medication A should be mixed this week?

Answers

Answer 1

Answer:

Step-by-step explanation:

20 milligrams


Related Questions

reflectiion across y=x​

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The reflection across y=-x swaps the coordinates and negates both of them. The first-quadrant figure becomes a third-quadrant figure.

  (x, y) ⇒ (-y, -x)

6. A company builds a model of its earning, and finds that its profit fits the linear model()=5―2500 Where p is the profit in dollars and q is the quantity of its product sold. a) Explain what the slope and y-intercept mean in the context of the problem. Be specific and answer in complete sentence. (2 points)

Answers

Answer:

The slope of 5 means that for each product sold, the profit increases by 5, and the intercept of -2500 means that if no products are sold, the company loses 2500.

Step-by-step explanation:

Linear function:

A linear function has the following format:

[tex]y = mx + b[/tex]

In which m is the slope, that is, by how much y changes for each unit of x, and b is the y-intercept, which is the values of y when x = 0.

In this question:

[tex]p(q) = 5q - 2500[/tex]

p is the profit in dollars and q is the quantity of its product sold.

a) Explain what the slope and y-intercept mean in the context of the problem.

The slope of 5 means that for each product sold, the profit increases by 5, and the intercept of -2500 means that if no products are sold, the company loses 2500.

6. a semicircle has as its diameter the hypotenuse of a right triangle shown below. determine the area of the semicircle to the nearest tenth of a square centimeter. show how you arrived at your answer.

Answers

Answer:

[tex]A = 137.3cm^2[/tex]

Step-by-step explanation:

Given

See attachment

Required

The area of the semicircle

First, we calculate the hypotenuse (h) of the triangle

Considering only the triangle, we have:

[tex]\cos(68) = \frac{7}{h}[/tex] --- cosine formula

Make h the subject

[tex]h = \frac{7}{\cos(68)}[/tex]

[tex]h = \frac{7}{0.3746}[/tex]

[tex]h = 18.7[/tex]

The area of the semicircle is then calculated as:

[tex]A = \frac{\pi h^2}{8}[/tex]

This gives:

[tex]A = \frac{3.14 * 18.7^2}{8}[/tex]

[tex]A = \frac{1098.03}{8}[/tex]

[tex]A = 137.3cm^2[/tex]

NEED HELP ASAP!!!!!!

Answers

Answer:

It's a rhombus (if you can check more than one answer, it's also a parallelogram).

Step-by-step explanation:

A rhombus is a flat shape with 4 straight sides that are all equal length.

Also opposite sides are parallel and opposite angles are equal.

It is a type of parallelogram.

Answer:

It's a rhombus

Step-by-step explanation:

because all the 4 sides are equal

And it's like a square that it's top has been pushed

A particular fruit's weights are normally distributed, with a mean of 275 grams and a standard deviation of 19 grams. If you pick one fruit at random, what is the probability that it will weigh between 244 grams and 305 grams?

Answers

Answer:

0.8913 = 89.13% probability that it will weigh between 244 grams and 305 grams.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 275 grams and a standard deviation of 19 grams

This means that [tex]\mu = 275, \sigma = 19[/tex]

What is the probability that it will weigh between 244 grams and 305 grams?

This is the p-value of Z when X = 305 subtracted by the p-value of Z when X = 244.

X = 305

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{305 - 275}{19}[/tex]

[tex]Z = 1.58[/tex]

[tex]Z = 1.58[/tex] has a p-value of 0.9429.

X = 244

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{244 - 275}{19}[/tex]

[tex]Z = -1.63[/tex]

[tex]Z = -1.63[/tex] has a p-value of 0.0516

0.9429 - 0.0516 = 0.8913

0.8913 = 89.13% probability that it will weigh between 244 grams and 305 grams.

Noah is ordering a taxi from an online taxi service. The taxi charges $2.50 just for the pickup and then an additional $2 per mile driven. How much would a taxi ride cost if Noah is riding for 4 miles? How much would a taxi ride cost that is mm miles long?

Answers

Answer:

$10.50

Step-by-step explanation:

We can make an equation

2.50+2x=?

x=4 because we are riding 4 miles.

so it's 2.5+2*4=?

let's solve

2.5+8=$10.50

The Cost of the taxi ride for 4 miles is $10.50 and Charge for m miles is 2.50 + 2m

Given:

Pick up charge = $2.50

Charge per mile = $2

Number of miles = 4

Cost of the taxi ride for 4 miles = Pick up charge + (Charge per mile + Number of miles)

= 2.50 + (2 × 4)

= 2.50 + 8

= $10.50

Charge for m miles = Pick up charge + (Charge per mile + Number of miles)

= 2.50 + (2 × m)

= 2.50 + 2m

Therefore, Cost of the taxi ride for 4 miles is $10.50 and Charge for m miles is 2.50 + 2m

Read more:

https://brainly.com/question/8957185

\left(a+b\right)^2 hihihihihiihihihihihih

Answers

Consider, we need to find the expanded form of the given expression.

Given:

The expression is:

[tex]\left(a+b\right)^2[/tex]

To find:

The expanded form of the given expression.

Solution:

We have,

[tex]\left(a+b\right)^2[/tex]

It can be written as:

[tex]\left(a+b\right)^2=(a+b)(a+b)[/tex]

Using distributive property of multiplication over addition, we get

[tex]\left(a+b\right)^2=a(a+b)+b(a+b)[/tex]

[tex]\left(a+b\right)^2=a(a)+a(b)+b(a)+b(b)[/tex]

[tex]\left(a+b\right)^2=a^2+ab+ab+b^2[/tex]

[tex]\left(a+b\right)^2=a^2+2ab+b^2[/tex]

Therefore, the expanded form of the given expression is [tex]a^2+2ab+b^2[/tex].

What is the y-intercept of this quadratic function? f(x)= -x^2

Answers

Answer:

x-intercept(s):  

( 0 , 0 )

y-intercept(s):  

( 0 , 0 )

Step-by-step explanation:

Answer:

(0,0)

Step-by-step explanation:

This has no real starting point. The x-intercept as well as the y-intercept is (0,0).

A zoo is designing a giant bird cage consisting of a cylinder of radius rr feet and height hh feet with a hemisphere on top (no bottom). The material for the hemisphere costs 2020 per square foot and the material for the cylindrical sides costs 1010 per square foot; the zoo has a budget of 45004500. Find the values of rr and hh giving the birds the greatest space inside assuming the zoo stays within its budget. Note: surface of a cylinder's side 2πrh2πrh, surface of a sphere 4πr24πr2, volume of a cylinder's side πr2hπr2h, volume of a sphere 43πr343πr3

Answers

Answer:

r  =  42,32 ft

h  = 84.8 ft

Step-by-step explanation:

We are going to apply Lagrange multipliers method

The greatest space   means  maximum volume

V(cage)  =  Vol. of the cylinder + volume of the hemisphere

V(cylinder )  = π*r²*h

V(sphere) = (4/3)*π*r²   ⇒  V(hemisphere) = (2/3)*π*r³

V(cage) =  π*r²*h  +  (2/3)*π*r³

Associated costs:

Costs =  cost of cylinder  + cost of hemisphere

Area of the cylinder  =  Lateral area   ( no bottom no top)

Area of the cylinder  =  2*π*r*h

Area of hemisphere  =  2*π*r²

A(r,h)  =   2*π*r*h  +  2*π*r²

C(r , h ) =  10* 2*π*r*h  + 20* 2*π*r²    C(r , h ) =  20*π*r*h  + 40*π*r²

4500 = 20*π*r*h  + 40*π*r²

20*π*r*h  + 40*π*r² -  4500  =  0         20*π*r*h  + 40*π*r² -  4500 = g(r,h)

V(cage) =  π*r²*h  +  (2/3)*π*r³

δV/δr  =  2*r*π*h  + 2*π*r²                       δg(r,h)/δr  =   20*π*h + 80*π*r

δV/δh  =  π*r²                                            δg(r,h)/δh =   20*π*r

δV/δr  = λ*  δg(r,h)/δr

2*r*π*h  + 2*π*r² =  λ* 20*π*h + 80*π*r

2*r*π* ( h + r )  =  20*π*  λ* ( h + 4*r)

r* ( h + r )  = 10*λ* ( h + 4*r)                        (1)

δV/δh  = λ*  δg(r,h)/δh

π*r²  =  20*λ*π*r        r  =  20*λ                  (2)

20*π*r*h  + 40*π*r² -  4500 = 0                 (3)

We need to sole the system of equation 1 ; 2 ; 3

r = 20*λ   plugging that value in equation  1

20*λ ( h  +   20*λ  ) =  10*λ* ( h + 4*r)  

2( h  +  20*λ  ) =   ( h + 4*20*λ)  

2*h  + 40*λ  =  h + 80*λ

h  = 40*λ

20*π*r*h  + 40*π*r² -  4500 = 0  

20*π*20*λ*40*λ  + 40*π+400λ²  - 4500  = 0

16000*π*λ²  +  16000*π*λ²  = 4500

32000*π*λ² = 4500

320*π*λ² = 4500

λ² = 4500/1004,8               λ² = 4.48          λ  = 2.12

Then

r  =  20* λ         r  =  42,32 ft

h  = 40* λ         h  = 84.8 ft

Joe drives for 3 hours and covers 201 miles. In miles per hour, how fast was he driving?​

Answers

Answer:

50

Step-by-step explanation:

4n-6 in as a undistributed expression

Answers

Answer:

2( 2n-3)

Step-by-step explanation:

4n-6

2*2 n - 2*3

Factor out the greatest common factor

2( 2n-3)

Let x be a real number such that x + (1/x) is an integer. Prove that (x^n) + 1/(x^n) is an integer for every positive integer n.

Answers

Answer:

sim eu também preciso desta respota


1. Determine the length and perimeter of Laura's property.
(5)

Answers

9514 1404 393

Answer:

length: 40 mperimeter: 136 marea: 653 m²volume: 6.52 m³

Step-by-step explanation:

1.

The outer dimensions of the property are 20 squares (length) by 14 squares. Each square is 2 m on a side, so the overall length of the property is ...

  (20 squares)×(2 m/square) = 40 m . . . . length

The overall width of the property is ...

  (14 squares)×(2 m/square) = 28 m . . . . width

Then the perimeter is ...

  P = 2(length + width) = 2(40 +28) m = 136 m . . . . perimeter

__

Additional comment

We have computed the perimeter as though the plot were a rectangle. If you carefully consider the total length of horizontal edges and the total length of vertical edges, you see that those totals are the same as they would be for a 20×14 square (40×28 m) rectangle.

_____

2.

The area of open ground is perhaps most easily computed by finding the area that must be subtracted from the overall 20×14 square rectangle. Those exclusions will be (in dimensions of squares) ...

lower right corner: 8 wide by 3 high = 24 squaresfish pond: 2 wide by 3 high = 6 squaresveranda: 4 wide by 4 high = 16 squareshouse: 9 wide by 7 high = 63 squarespavement: 4 wide by 2 high = 8 squares

The total area of exclusions is 24+6+16+63+8 = 117 squares. The bounding rectangle is 20 by 14 = 280 squares, so the open ground is ...

  280 squares - 117 squares = 163 squares

At (2 m)(2 m) = 4 m² per grid square, that's an area of ...

  (163 squares)(4 m²/square) = 652 m²

The surface area of the open ground is 652 m².

_____

3.

The volume is given by the formula ...

  V = Bh

where B is the base area and h is the height.

1 cm = 1/100 m = 0.01 m thickness. That means the total volume is ...

  V = (652 m²)(0.01 m) = 6.52 m³

6.52 cubic meters of topsoil are needed to cover the open ground to a depth of 1 cm.

Please help me solve this. I keep getting the answer weong

Answers

Answer:

21 is the answer I think sike I lied ik its not im just trying get this over with

You can use this formula to work out the area of a triangle when you know two sides and the angle inbwtween them :

1/2 x a x b x sin(C)

where a and b are the two sides you know and C is the angle in between them.

So here a = 7, b = 14, C = 125.

Area = 1/2 x 7 x 14 x sin(125) = 40.138...

= 40.1 (nearest 10th)

Which of the following best represents the relationship between functions f and g?
g(x) = -f(x) - 1
g(x) = f(x - 1)
g(x) = -f(x) + 1
g(x) = -f(x)

Answers

9514 1404 393

Answer:

  (c)  g(x) = -f(x) +1

Step-by-step explanation:

We really only need to consider one point on f(x) and/or g(x). We can look at the y-intercepts.

  f(0) = 4  and  g(0) = -3

Looking at the answer choices, we see ...

  A. -f(0) -1 = -4 -1 = -5 ≠ g(0)

  B. f(0 -1) = f(-1) = 1 ≠ g(0)

  C. -f(0) +1 = -4 +1 = -3 = g(0) . . . . . matches requirements

  D. -f(0) = -4 ≠ g(0)

The relation between f(x) and g(x) is g(x) = -f(x) +1.

Reflect (-3, 4) across the y-axis. Then reflect the result across the x-axis.

Answers

The formula for reflecting in y-axis: (-x,y)
So, (-3,4) would now be (3,4)
Now the formula for reflecting in the x-axis: (x,-y)
So, (3,4) would now be (3,-4).
Hope this helps !

Can someone help me with this question please.

Answers

Answer:

The rule is to divide the weight of the bag by 4 to find the number of marbles.

Step-by-step explanation:

The rule is to divide the weight of the bag by 4 to find the number of marbles.

PLEASE HELP ME WITH THIS ONE QUESTION
How many combinations without repetition are possible if n = 4 and r = 3?

A) 16
B) 12
C) 3
D) 4

Answers

Given:

[tex]n=4[/tex] and [tex]r=3[/tex].

To find:

The combinations without repetition are possible if [tex]n=4[/tex] and [tex]r=3[/tex].

Solution:

Combination of selecting r item from total n items is:

[tex]^nC_r=\dfrac{n!}{r!(n-r)!}[/tex]

We have [tex]n=4[/tex] and [tex]r=3[/tex]. By using the above formula, we get

[tex]^4C_3=\dfrac{4!}{3!(4-3)!}[/tex]

[tex]^4C_3=\dfrac{4\times 3!}{3!1!}[/tex]

[tex]^4C_3=4[/tex]

Therefore, the correct option is D.

Answer:

Step-by-step explanation:

A local hamburger shop sold a combined total of 393 hamburgers and cheeseburgers on Thursday. There were 57 fewer cheeseburgers sold than hamburgers. How many hamburgers were sold on Thursday? ​

Answers

Answer:

H+C = 393

H - 57 = C

~~~~~~~~~~~~~~~~

H + H - 57 = 393

2H = 450

H = 225

C = 168

Step-by-step explanation:

Please solve this equation

Answers

Answer:

fggggg hasdnkuw

Step-by-step explanation:

Choose the equation of the line that is parallel to the x-axis.
x = 4
x + y = 0
x = y
y = 4

Answers

Y= 4, because the line is graphed horizontally
y = 4
When y = 0 the line falls on the x axis, so when y = 4, it will move up 4 spaces and be parallel to the x axis.
Hope this helps!!

if a line intersect x axis at a point (6,0) and y axis at a point (0,-8). then what is equation of a line?​

Answers

Answer: y = 4/3x -8

Step-by-step explanation:

(6,0) (0,-8)

0-(-8)/6-0 = 8/6 = 4/3

y intercept is given already

There are 9 students in a class: 7 boys and 2 girls.
If the teacher picks a group of 3 at random, what is the probability that everyone in the group is a boy?

Answers

Answer: 9/7

Step-by-step explanation:

please help thx steps too

Answers

Step-by-step explanation:

IN first triangle multiplier factor is 4

and IN second triangle multiplier factor is

[tex] \frac{3}{2} [/tex]

can someone help me with this?

Answers

Answer: 22

Step-by-step explanation: 44:2=22

Which statement is true.?

Answers

Answer:

B

Step-by-step explanation:

For each of the studies described, explain whether the study was an observational study or a randomized experiment.
a. A group of 100 students was randomly divided, with 50 assigned to receive vitamin C and the remaining 50 to receive a placebo, to determine whether or not vitamin C helps to prevent colds.
b. A random sample of patients who received a hip transplant operation at Stanford University Hospital during 2000 to 2010 will be followed for 10 years after their operation to determine the success (or failure) of the transplant.
c. Volunteers with high blood pressure were randomly divided into two groups. One group was taught to practice meditation and the other group was given a low-fat diet. After 8 weeks, reduction in blood pressure was compared for the two groups.

Answers

Answer:

B

Step-by-step explanation:

B

I don't understand plz help

Answers

9514 1404 393

Answer:

  x = 2

Step-by-step explanation:

Triangles QST and QSR are congruent, so angle QST is congruent to angle QSR.

  (3x +24)° = 30°

  3x = 6 . . . . . . . . . divide by °, subtract 24

  x = 2 . . . . . . . . . . divide by 3

__

Additional comment

What matters here is the relationship between the two marked acute angles. The fact that point Q is equidistant from the sides of angle TSR tells you that QS is an angle bisector and the two angles have equal measures. (The definition of an angle bisector is that it is equidistant from the sides of the angle.)

Recognition that the two triangles are congruent is another way to see that the marked acute angles have the same measure. The triangle congruence can be claimed on the basis of the HL theorem, since both are right triangles, have the same hypotenuse (QS), and have legs (QT, QR) with the same measure.

A, B, and C are collinear points:
B is between A and C.
If AB = 3x + 4, BC = 4x - 1, and AC = 6x + 5,
find AC.

Answers

9514 1404 393

Answer:

  AC = 17

Step-by-step explanation:

The segment sum theorem tells you ...

  AB +BC = AC

Substituting the given expressions, we have ...

  (3x +4) +(4x -1) = (6x +5)

  x = 2 . . . . . . . . . . . . . . . . . . subtract 3+6x from both sides

  AC = 6x +5 = 6(2) +5

  AC = 17

_____

  AB = 10, BC = 7

find the value of x if 3x over 2 equals to 3 ​

Answers

Answer:

x = 2

Step-by-step explanation:

3x/2 = 3/1

cross-multiply to get:

3x = 6

divide each side by 2 to get:

x = 2

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CAGIGISO Very short answer questions. 1. How do you define human development? (a)What is the meaning of subsidiary company (2) write a paragraph on tarak Mehta ka ulta chasma Your city has a sales tax rate of 6%. If you just spent $30 on sales tax, how much were your purchases? Nagpur is famous for its (a) apple (b) pineapple (c) oranges What did Hernn Corts do after the Aztec emperor Montezuma II welcomed him to Tenochtitln?A) He took the emperor captive.B) He burned his own ships.C) He met with Atahualpa.D) He encountered the Pacific Ocean. consider the figure below FREE BRAINLIST TO WHOMEVER ANSWERS THIS QUESTION! - Write me a 7 sentences comparing and contrasting Juneteenth celebrations with 4th of July celebrations. No plagiarism please! Need answer ASAP pls its important a. What is Art Exhibition?b. State any four benefits of exhibitionc. Describe four essential steps in planning exhibition 20. Find the measure of < DEG. (G.CO.C.10)4EA. 25B. 8(3y + 4) A (5y-10)C. 30DFClick to add speaker notese here to searchOc3PO.a Th th no lin kt vi mt phn t ngoi mng t bo, hot ho mt protein kinase bn trong t bo? Which function can represent the height, y, of the railing in inches according to the horizontal distance in inches, x, from the top of the stairs? y = StartFraction 3 Over 4 EndFractionx + 36 y = 3x + 36 y = StartFraction 3 Over 4 EndFractionx + 36 y = 3x + 36 discribe 2 different types of bird nests and list their forms and functions starting balance of Accounts Receivable is $3,400 The starting balance of Cash is $9,000 The starting balance of Inventory is $5,100 1. Receive payment of $10 owed by a customer 2. Buy $16 worth of manufacturing supplies for cash 3. Sell product for $40 in cash with historical cost of $40 What is the final amount in Cash Select the correct text in the passage.Which detail about Stephanie mentioned in the passage below may give Stanley a reason to exclude her as a juror using a challenge for cause?Stephanie is part of a jury pool. Stanley, a defense attorney, has interviewed Stephanie to see if she can qualify as one of the twelve jurors for an upcoming criminal trial. During the interview, Stanley learned various details about Stephanie. She is a 27-year-old US citizen. She does not have much knowledge of the criminal trial in concern. She has not come across any media reports about this trial. She has been a victim of a similar crime in the past. Lastly, she holds a bachelors degree in Literature. Find mode.Mathematics ClassX The cash account for Pala Medical Co. at June 30, 20Y1, indicated a balance of $84,457. The bank statement indicated a balance of $127,190 on June 30, 20Y1. Comparing the bank statement and the accompanying canceled checks and memos with the records revealed the following reconciling items:a. Checks outstanding totaled $33,310.b. A deposit of $17,610, representing receipts of June 30, had been made too late to appear on the bank statement.c. The bank collected $28,248 on a $26,400 note, including interest of $1,848.d. A check for $1,100 returned with the statement had been incorrectly recorded by Pala Medical Co. as $110. The check was for the payment of an obligation to Skyline Supply Co. for a purchase on account.e. A check drawn for $680 had been erroneously charged by the bank as $860.f. Bank service charges for June amounted to $45.Required:a. Prepare a bank reconciliation.b. Journalize the necessary entries.c. If a balance sheet were prepared for Pala Medical Co. on June 30, 20Y1, what amount should be reported as cash? Which is not the correct statement from the followingcalcitonin prevents the process of mixing of calcium from bones to bloodparathormone reabsorbs calcium from kidneys to bloodparathormone stores the excess calcium from blood to bones.parathormone prevents the storage of calcium in bones. Though under siege for almost 900 days, the people of Leningrad held out against the German forces. Please select the best answer from the choices provided T F