A 20kg patient requires a 500 mg dose of a particular drug solution contains 100 mg/tsp. How many milliliters of the solution should be given to the patient to deliver the required dose?

Answer:

10

Step-by-step explanation:

→ Calculate how many are mint ice cream's

[tex]\frac{1}{3}[/tex] × [tex]30[/tex] = 10

→ Calculate how many are chocolate

30 - 10 = 20

[tex]\frac{1}{2}[/tex] × 20 = 10

→ Now find the vanilla

30 - ( 10 + 10 ) = 10

Answer:

I think it is 2, downwards

Answer:

vertical shift of 2 units up

Step-by-step explanation:

Given f(x) then f(x) + c is a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

f(x) = 9 | x + 1 | + 2

Represents a vertical shift of 2 units up of the parent function

Answer:

155 degrees

Step-by-step explanation:

Hi there!

The sum of the interior angles of a quadrilateral is always 360 degrees. To find the measure of the fourth angle, subtract 65, 95 and 45 from 360:

360-65-95-45

= 155

Therefore, the measure of the fourth angle is 155 degrees.

I hope this helps!

Answer:

155 degrees

Step-by-step explanation:

A quadrilateral has a total internal angle sum of 360 so we can set up an equation where x is the fourth angle

360=65+95+45+x

360=205+x

x=155

Answer:

$1.50

Step-by-step explanation:

The change would be $1.50 because $5.00 - $3.50 = $1.50

x + 133 = 180

x = 180 - 133 (Linear Pair)

x = 47

Therefore x° = 47°

Answered by Gauthmath must click thanks and mark brainliest

Answer:

47

Step-by-step explanation:

reason: Being sum of supplement angle

Answer:

The Second One

Step-by-step explanation:

It Shows Side Lengths, and the angles for LOM and PON connect at O.

That means they share a similar angle, and between the angle are Sides.

SAS. (Side-Angle-Side)

(I'm not really good at math so i'm sorry if its wrong!)

Answer:

Step-by-step explanation:

The choices aren't given. Be careful to give choices if the question says there are choices. It makes answering kind of iffy.

C = 34 + 1.5*h     where h is the number of hours Leah was in the park.

Answer:

C

Step-by-step explanation:

We are given the function:

[tex]f(x) = 2x^2 -3x+4[/tex]

And we want to evaluate it for x = 3a.

Substitute:

[tex]f(3a) = 2(3a)^2-3(3a)+4[/tex]

Square:

[tex]f(3a) = 2(9a^2)-3(3a)+4[/tex]

Simplify:

[tex]f(3a) = 18a^2-9a+4[/tex]

Hence, our answer is C.

Answer:

3 hour in my calculation

Answer:

3 hours. ......i think. ..........

Answer:

as both triangles are congruent......

AB = PQ

BC = QR

CA = RP

So AB = PA so... 2x + 1 = x + 7

so x = 7 - 1 = 6

now BC = QR so.... 4y + 3 = 2y + 11

so 2y= 8 and y= 4

brainliest plssssss

Answer:

21cm2

Step-by-step explanation:

Area (A = BH)

B = 7cm

H = 3cm

Therefore we multiply Base(B) with height (H) to get the area.

Hence;

Area = (7 × 3) cm2

= 21cm2

Answer:

x^2-11x-12

Step-by-step explanation:

I use the box method, which makes a 2x2 box. Then you arrange you numbers based on the equation (show in image)

Then you multiply it out and get the equation

F(x)= x^2+x-12x-12

Simplify your equation and you get

F(x)= x^2-11x-12

Answer:

it should be 6

Step-by-step explanation:

I could be wrong

Answer: C; 12 miles

Solution:

1) Add the initial Uber cost ($15) and airport toll charge:

$22.95

2) Subtract 22.95 from 45.84

$22.89 to spend on miles

3) Divide 1.84 (cost per mile) from 22.89

≈ 12.44 miles

Round down to 12 miles or option C

Answer:

The square root of 179 rounded up to 7 decimal places is 13.3790882. It is the positive solution of the equation x² = 179.

Answer:

Inverse of f(x) is ³√2-x

Step-by-step explanation:

let the inverse of f(x) be m :

[tex]{ \tt{2 - {x}^{3} = m}} \\ [/tex]

make x the subject:

[tex]{ \tt{ {x}^{3} = 2 - m}} \\ { \tt{x = \sqrt[3]{2 - m} }}[/tex]

substitute x for m:

[tex]{ \bf{f {}^{ - 1}(x) = \sqrt[3]{2 - x} }}[/tex]

Answer:

[tex]f^-^1(x)=\sqrt[3]{2-f(x)}[/tex]

Step-by-step explanation:

One is asked to find the inverse of the following function:

[tex]f(x)=2-x^3[/tex]

Keep in mind, finding the inverse of a function is the same as finding the function's opposite. Any easy trick to do so is to take the function and solve it for (x) in terms of (f(x)). This can be done using inverse operations and simplification. Once one has solved this function for (x), then one will put it in inverse function notation. Apply this idea to the given function,

[tex]f(x)=2-x^3[/tex]

[tex]f(x)-2=-x^3[/tex]

[tex]2-f(x)=x^3[/tex]

[tex]\sqrt[3]{2-f(x)}=x[/tex]

Put in inverse function notation,

[tex]f^-^1(x)=\sqrt[3]{2-f(x)}[/tex]

Answer:

The answer is "[tex]\bold{6.6 \times 10^{12}\ years}[/tex]"

Step-by-step explanation:

Let the given value is:

[tex]R=\frac{1}{9^{17}}\\\\\to \frac{N_{c_{14}}}{N_{c_{12}}}=\frac{1}{9^{17}}\\\\\to t=\frac{2.303 \times 9^{17}}{5717}=6.6\times 10^{12}\ years[/tex]

Answer:

- 4x^2-15x

Step-by-step explanation:

(f-g)(x) = f(x) - g(x) = - 3x^2-8x-x^2-7x = - 4x^2-15x

Step-by-step explanation:

Hope you understand through the steps on the attachment, if not kindly reach out

Answer: x = 8.77

Step-by-step explanation:

Using Pythagoreus Theorem

In the smaller rectangle

4²+5² = h²

41 = h²

h = √41

Therefore two sides of the rectangle will √41

No using pythagoreus theorem in the bigger triangle

6² + (√41)² = x²

x² = 36+41

x² = 77

x = √77

x = 8.7749643874

When rounded off to nearest tenth the hundreth digit is in 0-5 range

x = 8.77

Please click thanks and mark brainliest if you like

Answer:

x=8.6 c.x=5.7 d.x=26.3. d.x=26.3 is the answer

Answer:

x=31/7

Step-by-step explanation:

3x-6+4x+10=35

7x=31

x=31/7 (The task was to find the x, not simplify)

Answer:

[tex]x=\frac{31}{7}[/tex]

Step-by-step explanation:

One is given the following equation,

[tex]3(x-2)+2(2x+5)=35[/tex]

Distribute, multiply every term inside the parenthesis by the term outside of it.

[tex]3(x-2)+2(2x+5)=35[/tex]

[tex](3)(x)-(3)(2)+(2)(2x)+(2)(5)=35[/tex]

Simplify,

[tex](3)(x)-(3)(2)+(2)(2x)+(2)(5)=35[/tex]

[tex]3x-6+4x+10=35[/tex]

[tex]7x+4=35[/tex]

Inverse operations,

[tex]7x+4=35[/tex]

[tex]7x=31[/tex]

[tex]x=\frac{31}{7}[/tex]

Answer:

6h+4  -2h +3

Step-by-step explanation:

(6h + 4) - (2h - 3)

Distribute

6h+4  -2h +3

Answer:

Population

Step-by-step explanation:

A.

A population is the entire group that is being studied while a sample is a subset of the population that is being studied.

Answer:

56 cm^2

Step-by-step explanation:

The area of a triangle is

A = 1/2 bh where b is the base and h is the height

A = 1/2 (14) (8)

A = 56 cm^2