Clarithromycin is available in a 250 mg/5 mL suspension. If a patient’s prescription calls for 500 mg of clarithromycin per dose, how many mL per dose should you dispense?

Answer:

<B = 70°

Step-by-step explanation:

First we need to find x, lets plugin these two equations.

2x - 30 = x + 20

Then find like terms

2x = x + 50 =

x = 50

Then we plugin 50 for x

2(50) - 30 =

100 - 30 = 70

<B = 70°

Hi!

The Triangle Angle Sum Theorem states that the sum of the interior angles in all triangles will always be 180 degrees.

We can set up an equation with the given information:

40 + (2x - 30) + (x + 20) = 180

Remove parentheses:

40 + 2x - 30 + x + 20 = 180

Combine like terms:

30 + 3x = 180

Subtract 30 from both sides:

3x = 150

Divide both sides by 3:

x = 50

Now, the problem wants us to solve for angle B.

Angle B is (2x - 30) degrees. We know the value of x, so we just have to substitute:

(2x - 30)

(2(50) - 30)

100 - 30

70

Therefore, angle B is 70 degrees.

[tex]a = \frac{(9.5 + 23.1) \times 5.8}{2} \\ [/tex]

[tex]a = \frac{32.6 \times 5.8}{2} \\ [/tex]

[tex]a = 16.3 \times 5.8[/tex]

[tex]a = 94.54 \: \: {m}^{2} [/tex]

There are different ways to construct an angle. The steps used in constructing a line segment are;

First, you have to put the compass at a one specific end of line segment.

Then you shift the compass slowly a little bit so it will be longer in length to half the length of line segment.

Then you have to draw arcs up and down the line.

while using the same compass width, you then draw arcs from one specific end of line.

and thereafter you put your ruler in the point where the arcs cross, and you then draw the line segment.

The differences is that to bisect an angle, one has to divide the shape or angle into two congruent parts while in construction of a line segment, there is differences in length.

What are the construction process of Angles?

This entails a good construction process in making angles. They are step-by-step processes that are used to produce a detailed and exact geometric figures.

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The steps to construct an angle and its bisector are described above.

The angle can be defined as the one line inclined over another line.

Here,
Step 1,
Draw a random size horizontal line,

Step 2,
Take the rounder, mark the rounder 1/3 of the line drawn, put on one of the ends, and draw a horizontal semi-circle,

Step 3,
One more time, keep the rounder 1 / 3 measure of the semi-circle and cut 2 consecutive arcs, one from the initial end of the semi-circle and the other from the previous arc cut on the semi-circle.

Step - 4
Now draw a line from the center of the semi-circle through the cut arc, an angle will be formed

Step - 5,
Now cut 2 arcs from the previously cut arc intersecting each other.

Step - 6
Now draw the line from the initial point of the horizontal line and the final intersecting arcs.

Thus, The steps to construct an angle and its bisector are described above.

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Answer:

10.526% or 0.10526

Step-by-step explanation:

The probability of choosing a blue marble would be 5/20, or 0.25 and then the probability of choosing a green marble next would be 8/19, or about 0.421.  Multiply these probabilities together to get your answer.  

Hope this helps:)

Answer:

The first option is the best

Step-by-step explanation:

1       (1+ 07/4)^4 = 7.186 % annual

2      ( 1+.068/12)^12 = 7.0159 %   annual

3       7.1 %

4       (1 + .069/365)^365 = 7.143

b = 14

Step-by-step explanation:

3b/7 - 1 = 5

+1

3b/7. = 6

x7

3b. = 42

÷3

b = 14

Hope this helps!

Answer:

x = 5

Step-by-step explanation:

For x = 5, value of y should be [tex]-12\frac{1}{2}[/tex]

Hope it helps you in your learning process.

Answer:

16

Step-by-step explanation:

So if 4 numbers have an average of 14, that means to find the sum of all 4 numbers, you work backwards & multiply 4x14 to get 56.

Then 56-the sum of the 3 numbers you already have (11+12+17=40)

56-40=16

To double check, to find the average of 4 numbers that total 56, you divide 56 by 4 & get 14

Area = pi x r^2

R is radius which is 1/2 the diameter

r = 18/2 = 9

area = 3.14 x 9^2

Area = 254.34 mm^2

Answer: EF= 16 units

Step-by-step explanation:

I took the test and also EF has to be greater just by looking at the triangle.

To solve this problem where we need to find the radius:

   ⇒ find the relationship between height, volume, and radius

     ⇒ only equation that involves all these quantities is

       ⇒ Volume's equation = [tex]V = \pi r^2*h[/tex]

Let's set up our volume equation with known quantities

 [tex]V=\pi r^2*h\\3014.4=\pi r^2*15\\3014.4 = 3.14*r^2*15\\960=15r^2\\r^2=64\\r=8[/tex]

  *r cannot be negative thus r equals a positive 8

Thus the radius is 8.00 inches (rounded to the nearest hundredth)

Hope that helps!

Answer:

8.00 inches

Step-by-step explanation:

Given:

To find:

Cylinder’s Volume:

Substitute given information in:

[tex]\displaystyle \large{3,014.4 = 3.14 \cdot r^2 \cdot 15}\\\displaystyle \large{3,014.4=47.1r^2}[/tex]

Solve for r by dividing both sides by 47.1:

[tex]\displaystyle \large{\dfrac{3,014.4}{47.1} = \dfrac{47.1r^2}{47.1}}\\\displaystyle \large{64 = r^2}\\\displaystyle \large{r = 8,-8}[/tex]

However, radius is a scalar value so it cannot be negative - the radius is 8 inches

Since you want in nearest hundredth then the radius is 8.00 inches

Answer:

See below ~

Step-by-step explanation:

#1)

#2)

#3)

Answer:

the expression is equal to 40

Step-by-step explanation:

When given a= 5 and b=2, you can change your expression to read

3+11(5)-9(2)

All you have to do is simplify and you are given 40 :)

[tex] \cos(x) ( \tan(x) - \sqrt{3} ) = 0[/tex]

[tex] \cos(x) ( \frac{ \sin(x) }{ \cos(x) } - \sqrt{3} ) = \\ [/tex]

Thus :

[tex] \cos(x) = 0 \: \: \: or \: \: \: \tan(x) - \sqrt{3} = 0[/tex]

Over interval [0 , 2pie ) :

[tex] \cos(x) = 0[/tex]

[tex]x = \frac{\pi}{2} , \frac{3\pi}{2} \\ [/tex]

[tex] \tan(x) - \sqrt{3} = 0[/tex]

[tex] \tan(x) = \sqrt{3} [/tex]

[tex]x = \frac{\pi}{3} ,\pi + \frac{\pi}{3} \\ [/tex]

[tex]x = \frac{\pi}{3} , \frac{4\pi}{3} \\ [/tex]

____________________________________________

Thus the solutions are :

[tex] \frac{\pi}{3} , \frac{\pi}{2} , \frac{4\pi}{3} , \frac{3\pi}{2} \\ [/tex]

As u can see the first option is the correct answer .

And we're done....

Answer:

14.47 rounded to the nearest whole number is 14

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

4 is less then 5 so you do not need to go up!

So

[tex]\\ \rm\Rrightarrow v=r\omega[/tex]

[tex]\\ \rm\Rrightarrow r=\dfrac{v}{\omega}[/tex]

[tex]\\ \rm\Rrightarrow r=\dfrac{17\pi}{6}\div\dfrac{34\pi}{3}=\dfrac{17\pi}{6}\times \dfrac{3}{34\pi}[/tex]

[tex]\\ \rm\Rrightarrow r=\dfrac{1}{4}[/tex]

[tex]\\ \rm\Rrightarrow r=0.25ft[/tex]

Convert to ft

1 min=60s

Hence

So

[tex]\\ \rm\Rrightarrow r=\dfrac{17\pi}{6}\times \dfrac{1}{680\pi}[[/tex]

[tex]\\ \rm\Rrightarrow r=\dfrac{1}{40}[/tex]

[tex]\\ \rm\Rrightarrow r=0.025in[/tex]

Convert to ft

None of the above

The radius of the smaller gear is 15 feet, Option C is correct.

Velocity is defined as the rate of change of distance of a body with respect to time

We can use the relationship between linear velocity and angular velocity for gears to solve this problem:

v = rω

where v is the linear velocity, r is the radius of the gear, and ω is the angular velocity.

We are given the linear velocity of the larger gear, which is 17π/6 inches per second.

v = 17π/6 inches per second

ω = (34π/3) / 60 radians per second

the radius of the smaller gear is:

r = v / ω

= (17π/6) / ((34π/3) / 60)

= 17π/6×60/(34π/3)

=17π/6×60×3/34π

= 1/6 ×60× 3/2

= 180/12

=15 feet

Hence,  the radius of the smaller gear is 15 feet.

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Answer:

12

Step-by-step explanation:

multiply 50 by 6 to get to 300

then 6 by 2 and you get 12

Answer:

B. 12

Step-by-step explanation:

The table shows the results after 50 spins; believing the results to be consistent, we would multiply the results by 6 to estimate the results after the spinner is spun 300 times.

I hope this helps.

Answer:

(1,3)(1,4)

Step-by-step explanation:

One input cannot have two outputs so one x-value cannot have two y-values.

Answer:

4g² - 36gh + 81h²

Step-by-step explanation:

Apply the perfect square formula: (a - b)² = a² - 2ab + b²

(2g - 9h)²​ = (2g)² - 2(2g)(9h) + (9h)²

Simplify:

2g² = 4g²

-2 · 2g = -4g · 9h = -36gh

9h² = 81h²

= 4g² - 36gh + 81h²

hope this helps!

Answer:

B. 28

Step-by-step explanation:

boy to girls

4:3 to 16:?

4x4=16

so you would do

3x4=12

Now add them, 16+12=28

Answer:

If it’s 10%, 90x.90 plus 0x.10 = 81.If it’s 15%, 90x.85 plus 0x.15= 76.5If it’s 20%, 90x.80 plus 0x.20= 72.If it’s 25%, 90x.75 plus 0x.25= 67.5If it’s 30%, 90x.70 plus 0x.30= 63.If it’s 40%, 90x.60 plus 0x.40= 54.If it’s 50%, 90x.50 plus 0x.50= 45.

Step-by-step explanation:

B.

   [tex]x^2-8x+97=0[/tex]

[tex]x=\frac{-(-8)\pm\sqrt{(-8)^2-4\times1\times97}}{2\times1}\left\{x=\left.\ \frac{-b\pm\sqrt{b^2-4ac}}{2a}\right\}\right.[/tex]

  [tex]=\frac{8\pm\sqrt{-324}}{2}[/tex]

  [tex]=\frac{8\pm18i}{2}\left\{i^2\right.=-1\Longrightarrow\sqrt{-1}=\left.\ i\right\}[/tex]

[tex]\Rightarrow x_1=4-9i,x_2=4+9i[/tex]

[tex]\therefore Choose\ B.[/tex]

I hope this helps you

:)

Answer:

12h+94=250, she will need to work 13 hours.

Step-by-step explanation:

we subtract 94 from 250, 250-94=156then we divide it by 12 which equals 13, 13=h.

Answer:

zeros are at x = -1, x = 2 and x = -3

continues downward to the left and upward to the right

Step-by-step explanation:

Given function:

f(x) = (x + 1)(x - 2)(x + 3)

The zeros are when f(x) = 0

⇒ (x + 1)(x - 2)(x + 3) = 0

⇒ (x + 1) = 0 ⇒ x = -1

⇒ (x - 2) = 0 ⇒ x = 2

⇒ (x + 3) = 0 ⇒ x = -3

Therefore, the zeros are at x = -1, x = 2 and x = -3

If we expand the brackets of the function we get:

f(x) = (x + 1)(x - 2)(x + 3)

     = (x + 1)(x² + x - 6)

     = x³ + 2x² - 5x - 6

As the leading coefficient (the coefficient of x³) is positive, the end behavior of the function is:

[tex]f(x) \rightarrow + \infty, \textsf{as } x \rightarrow + \infty[/tex]

[tex]f(x) \rightarrow - \infty, \textsf{as } x \rightarrow - \infty[/tex]

So the correct option is:

"continues downward to the left and upward to the right"

the anwer to your question is very ieasy it's b

Answer:

Step-by-step explanation:

64 [tex]s^{12}[/tex] - 125 [tex]y^{30}[/tex] = [tex]2^{6}[/tex] [tex]s^{12}[/tex] - 5³ [tex]y^{30}[/tex] = ( 2² [tex]s^{4}[/tex] )³ - ( 5 [tex]y^{10}[/tex] )³ = ( 4 [tex]s^{4}[/tex] )³ - ( 5 [tex]y^{10}[/tex] )³