0.5 mg/mL = ___________ mcg/mL

Answer:

C, D and F

Step-by-step explanation:

Procedure:

9x+5=5x+21

4x+5=21 (subtract 5x)

4x=16 (subtract 5)

x=4 (divided by 4)

Answer:

-30

Step-by-step explanation:

0.6x+7=0.1x-8

0.6x-0.1x=-8-7

0.5x=-15

x=-15/0.5

x=-30

Answer:

....................................,..............................,................................,...................................,...........................,..................,......,,,.,.................................

Step-by-step explanation:

Answer:

u = 143º

Step-by-step explanation:

Sum of angles in a triangle is 180

The unknown angle IN the triangle

x + 90 + 53 = 180

x + 143 = 180

x = 37º

x and u are supplementary angle which total 180

u + 37 = 180

u = 143º

Answer:

10.5

Step-by-step explanation:

Answer:

∠S = 151

Step-by-step explanation:

The figure shown is a pentagon

The angles in a pentagon add up to equal 540

Thus, ∠Q + ∠P + ∠T + ∠S + ∠R = 540

Or 10x - 3 + 5x + 2 + 7x - 11  + 13x - 31 + 8x - 19 = 540

This is the equation we will use to solve for x

Step 1 combine like terms

10x = 5x + 7x + 13x + 8x = 43x

-3 + 2 - 11 - 31 - 19 = -62

We now have 540 = 43x - 62

Step 2 add 62 to each side

-62 + 62 cancels out

540 + 62 = 602

we now have 602 = 43x

Step 3 divide each side by 43

43x / 43 = x

602 / 43 = 14

we're left with x = 14

Finally we plug in 14 for x in the given expression for ∠S

∠S = 13x - 31

* substitute 14 for x *

∠S = 13 ( 14 ) - 31

∠S = 13 * 14 = 182

182 - 21 = 151

Thus, ∠S = 151

The measure of ∠S is equal to 151°.

In mathematics, shapes define the perimeters or contours of an object. The forms can be categorized into numerous groups according to their individual traits. A border or outline made up of points, lines, curves, etc. frequently surrounds the forms.

As per the given data:

We are given the diagram of a shape and all its internal angles.

As the given shape is having 5 sides, it will be a pentagon.

The sum of all internal angles in a pentagon is equal to 540°.

∴ ∠P + ∠Q + ∠R + ∠S + ∠T = 540°

⇒ 10x - 3 + 5x + 2 + 7x - 11 + 13x - 31 + 8x - 19 = 540

= 43x - 62 = 540

= 43x = 602

x = 14

To find the measure of ∠S.

∠S = 13x - 31

∠S = 13(14) - 31

∠S = 151°

The measure of ∠S is equal to 151°.

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$14.40. And then you have the tax. :D

Have A Great Day.

The cost of 2 dozen pens will be "$14.4".

Given:

Cost of 6 pens,

As we know,

then,

                        = [tex]24[/tex]

Now,

→ The cost of 1 pen will be:

= [tex]\frac{3.60}{6}[/tex]

= [tex]0.6[/tex] ($)

hence,

→ The cost of 24 pens (2 dozen) will be:

= [tex]0.6\times 24[/tex]

= [tex]14.4[/tex] ($)

Thus the above solution is right.

Learn more:

https://brainly.com/question/10771844

Answer:

Distance in ft = 597.57 feet

Step-by-step explanation:

As per the

First equation of motion

84 mph = 37.5514 m/s

45 mph = 20.1168 m/s

v-u = a* t

Substituting the given values, we get -

37.5514 m/s - 20.1168 m/s = a * 6.3

a = 2.76 m/s^2

Now as per Newton's third law of motion

v^2-u^2 = 2 *a*S

Substituting the given values, we get -

37.5514^2 - 20.1168^2 = 2 * 2.76 m/s^2 * S

S = 182.142 Meters

Distance in ft = 597.57 feet

Answer:

14mm×20mm=280mm²

14mm×12mm/2=84mm²

3.14×10²mm=314mm²

280m²+84mm²+314mm²=678mm²

Answer:

521mm^2

Step-by-step explanation:

First, separate the shapes.

-Half circle= diameter of 20, radius 10

-Rectangle= 14x20

-Triangle= (32-20)x14= 12x14

Then, calculate

Circle equation= (pi)r^2= (pi)(10)^2= 314.16    -> divide by 2 for half circle= 157.1

Rectangle= 14x20=280

Triangle= (12x14)=168   ->  Divide by two because it's a triangle= 84

Add 157 + 280 + 84 and you get  521

Answer:

I believe it’s option c!

Step-by-step explanation:

Correct me if I’m wrong!

Answer:

if you want to find perimeter you must do addition for the corners. For example on long side in the regtangle the number is 4. And the short side is 6. The one thing we must do is addition. Than the answer will be 10. You're welcome.

Answer:

8

Step-by-step explanation:

[tex]\angle RPS = 3x + 12,\ \angle QPR = 7x + 88\ =>\ \angle QPS = 3x + 12 + 7x + 88 = 180[/tex]

[tex]3x + 12 + 7x + 88 = 180[/tex]

[tex]10x + 100 = 180[/tex]

[tex]10x = 80[/tex]

[tex]x = 8[/tex]

Answer:

[tex]A(t) = 1400(1 - e^{\frac{-t}{50}})[/tex]

Step-by-step explanation:

The net mass flow rate dA/dt = mass flow rate in - mass flow rate out

mass flow rate in = concentration of brine in × brine flow rate in = 4 lb/gal × 7 gal/min = 28 lb/min

Let A(t) be the amount of salt at time t. The concentration of salt in the tank at time, thus C = amount of salt/volume of tank = A(t)/700 lb/gal.

Since the well mixed solution is pumped out at a rate of 14 gal/min, the mass flow rate out = concentration of salt in tank × volume flow rate out = A(t)/700 lb/gal × 14 gal/min = m(t)/50 lb/min

So, dA/dt = mass flow rate in - mass flow rate out

dA/dt = 28 lb/min - A(t)/50 lb/min

dA/dt = 28 - A(t)/50

dA/dt = [1400 - A(t)]/50

separating the variables, we have

dA/[1400 - A(t)] = dt/50

integrating both sides, we have

∫dA/[1400 - A(t)] = ∫dt/50

-1/-1 × ∫dA/[1400 - A(t)] = ∫dt/50

1/-1 × ∫-dA/[1400 - A(t)] = ∫dt/50

-1 × ㏑[1400 - A(t)] = t/50 + C

-㏑[1400 - A(t)] = t/50 + C

㏑[1400 - A(t)] = -t/50 - C

taking exponents of both sides, we have

[tex]1400 - A(t) = e^{\frac{-t}{50} - C} \\1400 - A(t) = e^{\frac{-t}{50}}e^{-C}\\1400 - A(t) = Be^{\frac{-t}{50}} ( B = e^{-C}) \\A(t) = 1400 - Be^{\frac{-t}{50}}[/tex]

when t = 0, A(0) = 0. So,

[tex]A(t) = 1400 - Be^{\frac{-t}{50}}\\A(0) = 1400 - Be^{\frac{-0}{50}}\\0 = 1400 - Be^{0}\\0 = 1400 - B\\B = 1400[/tex]

So,

[tex]A(t) = 1400 - 1400e^{\frac{-t}{50}}\\A(t) = 1400(1 - e^{\frac{-t}{50}})[/tex]

Answer:

B. In Section P, the function is linear and increasing.

Step-by-step explanation:

Answer:

B. In Section P, the function is linear and increasing.

Answer:

False.

Step-by-step explanation:

Time-series graph is a graph that relates something to the change of time, then the time is the single variable in this case.

Bar graphs relate a given quantity to a given variable, an example of this can be the population of a given city (represented by the height of each bar) for each different year (which is the single variable in this case)

Pie-chart is a circular graph with defined sections that represent a given proportion. This kind of graph is used to represent percentages, like in the case of a pie chart that describes the number of men and women in a city. (one section of the circle represents the percentage of women and the other section of the circle represents the percentage of men). In this type of graph, there are no variables, so this is not a single variable graph.

Then the statement:

"Examples of graphs of a single variable include pie charts, bar graphs, and time-series graphs."

Is false.

Answer:

Step-by-step explanation:

Angle A and 50 will combined have an angle of 180

Angle A = 180-50

Angle C is opposite of angle A and both will be equal. Same with Angle B and it's opposing Angle.

You got this!

i dont know this questions

Answer:

C. x is greater than or equal to 3 or x is less than or greater than -5

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

x^2−6x+9=5

Step 2: Subtract 5 from both sides.

x^2−6x+9−5=5−5

x^2−6x+4=0

Step 3:  a=1, b=-6, c=4

1x^2+−6x+4=0

Step 4: Quadratic formula (a) =1, b=-6, c=4

x= 6±√20 /2

Step 4: Last Step

x=3−√5

Explanation in words:

The first step of solving (x – 3)^2 = 5 is to use the quadratic formula. So the first step is to Simplify both sides of the equation which is the (x−3)^2. Our answer will led up to 5 after that.

Moving on to step 2 we will have to now subtract the 5 from both sides. So 5−5 = 0. So in this step, our answer is now led up to 0.

Now on the step 3 we will now have to use the formula named "quadratic formula". So in this case we will solve this equation with that formula       a=1, b=-6, c=4. At the end our answer will led up to x=3−√5.

Answer:

x=3+√5

x=3−√5

Hope this helps.

Answer:

Step-by-step explanation:

IG you wanted to solve for X ?   there are two answers ofc,  

x= 3-[tex]\sqrt{5}[/tex]

x=3+[tex]\sqrt{5}[/tex]

Answer:

(- 2, 4 )

Step-by-step explanation:

Given the 2 equations

3x + 5y = 14 → (1)

y = [tex]\frac{1}{2}[/tex] x + 5 → (2)

Substitute y = [tex]\frac{1}{2}[/tex] x + 5 into (1)

3x + 5([tex]\frac{1}{2}[/tex] x + 5) = 14

3x + [tex]\frac{5}{2}[/tex] x + 25 = 14

[tex]\frac{11}{2}[/tex] x + 25 = 14 ( subtract 25 from both sides )

[tex]\frac{11}{2}[/tex] x = - 11 ( multiply both sides by 2 )

11x = - 22 ( divide both sides by 11 )

x = - 2

Substitute x = - 2 into (2) for corresponding value of y

y = [tex]\frac{1}{2}[/tex] × - 2 + 5 = - 1 + 5 = 4

solution is (- 2, 4 )

Answer:

Surface Area

Step-by-step explanation:

You are calculating the measurements for the surface of the prism. The interior is volume.

Answer:

Surface Area

Step-by-step explanation:

9514 1404 393

Answer:

  (x, y) = (2, 2)

Step-by-step explanation:

We can put the second equation into standard form by dividing by -2.

  x -2y = -2

Adding this to the first equation eliminates x

  (x -2y) +(-x -y) = (-2) +(-4)

  -3y = -6

  y = 2 . . . . . divide by -3

  -x -(2) = -4 . . . . substitute for x in the first equation

  2 = x . . . . . . . . add 4+x

The solution is (x, y) = (2, 2).

Answer:

1568cm²

Step-by-step explanation:

28cm + 28cm = 56cm

35cm + 21cm = 56cm

56 × 56 = 3136cm²

3136cm² ÷ 2 = 1568cm²

Answer:

circumference = 2πr

diameter = 3ft, so radius =3/2 =1.5

                       =2π ×1.5=3π= 9.42ft

Answer:

here diameter =3 ft

radius=diameter/2

=3/2

=1.5 ft

now use formula 2 pie r where pie =3.14

=2*3.14*1.5 ft

=9.42 ft

Step-by-step explanation:

Hope this helps u!!

Answer:

The volume of the pyramid is 126in^3

Step-by-step explanation:

To find the volume of a pyramid you need to use this formula which is

V=lw·h/3

V=9·6·7/3

V=54·7/3

V=126in^3

1. Base presents the whole number

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