2. If 5 mg in 2 ml of liquid medication, how many mg is in 4 ml of medication?

According to the imaginary number, the real solution between 30 and 80 is 60

Imaginary number

An imaginary number refers a real number multiplied by the imaginary unit i, which is defined by its property i² = −1.

Given,

Here we have to use the digits -9 to 9 (each only once) to create a real solution between 30 and 80 (a+bi)(c+di).

We know that the digits from -9 to 9 are listed as follows:

(-9,-8,-7,-6,-5,-4,-3,-2,-1,0,1,2,3,4,5,6,7,8,9)

Now, we have to choose the digits -9 to 9, as the value of a, b, c and d,

For that we have to choose the value of a = 3, b = -9, c = 2 and d = 6,

Now, we have to apply these value on the given imaginary equation, then we get,

(a + bi) (c + di) = (3 + -9i) (2 + 6i)

When we simplify this one then we get,

=> 6 + 18i + (-18i) – 54i²

We know that value of i² =  -1, then the equation is written as,

=> 6 - 54(-1)

=> 6 + 54

=> 60

Therefore, 60 is a real solution between 30 and 80.

To know more about Imaginary number here.

https://brainly.com/question/23429483

#SPJ1

Answer:

∠ BDC = 29°

Step-by-step explanation:

the sides of a rhombus are congruent, so CD = ED and Δ EDC is therefore isosceles with base angles congruent , then

∠ BCD = ∠ BED = 61°

• the diagonals are perpendicular bisectors of each other , then

∠ CBD = 90°

the sum of the 3 angles in Δ BCD = 180°

∠ BDC + ∠ CBD + ∠ BCD = 180°

∠ BDC + 90° + 61° = 180°

∠ BDC + 151° = 180° ( subtract 151° from both sides )

∠ BDC = 29°

Answer:

5 shirts for $21.

Step-by-step explanation:

Answer:

u(2t + v)

Step-by-step explanation:

Doubling t = 2 * t = 2t

Add v = 2t + v

Multiplying this by u will be u multiplied everything else, so u(2t + v).

Answer:

Area of the shape is 244.98cm² is B

Step-by-step explanation:

Area of shape=Area of semi circle+Area of trapezoid

A=1/2 πr² + 1/2(a+b)h

A=1/2×3.142×7² + 1/2(14+18)10.5

A=1/2×3.142×49 + 1/2×32×10.5

A=76.98+168

A=76.98+168

A=244.98cm²

The function f(x) = -2(4)ˣ⁺¹ +140 represents the number of tokens a child has x hours after arriving at an arcade. The practical domain and range of the function are x ≥ 0 and The practical range of the situation is [140, ∞).

The given function is f(x) = -2(4)ˣ⁺¹+ 140, which represents the number of tokens a child has x hours after arriving at an arcade.

To determine the practical domain and range of the function, we need to consider the constraints and limitations of the situation.

For the practical domain, we need to identify the valid values for x, which in this case represents the number of hours the child has been at the arcade. Since time cannot be negative in this context, the practical domain is x ≥ 0, meaning x is a non-negative number or zero.

Therefore, the practical domain of the situation is x ≥ 0.

For the practical range, we need to determine the possible values for the number of tokens the child can have. Looking at the given function, we can see that the term -2(4)ˣ⁺¹represents a decreasing exponential function as x increases. The constant term +140 is added to shift the graph upward.

Since the exponential term decreases as x increases, the function will have a maximum value at x = 0 and approach negative infinity as x approaches infinity. However, due to the presence of the +140 term, the actual range will be shifted upward by 140 units.

Therefore, the practical range of the situation will be all real numbers greater than or equal to 140. In interval notation, we can express it as [140, ∞).

To summarize:

- The practical domain of the situation is x ≥ 0.

- The practical range of the situation is [140, ∞).

Know more about the domain here:
https://brainly.com/question/30096754

#SPJ8

Answer: Tell me if i am wrong

The answer is 'The slope of g(x) is less than the slope of f(x)'  

Step-by-step explanation:

Given the graphs of f(x) and g(x). we have to compare the slops of these two.

The graph of f(x) passes through the points (1,0) and (2,2)

∴ The slope of \(f(x) = \frac{y2-y1}{x2-x1}=\frac{2-0}{2-1} = 2\)

The graph of g(x) passes through the points (0,2) and (2,3)

∴ The slope of \(g(x)=\frac{y2-y1}{x2-x1} =\frac{3-0}{2-0} =\frac{1}{2}\)

As \(\frac{1}{2} <2\)

This shows that the

The slope of g(x) is less than the slope of f(x).

Answer:

the awnser is or I'm 4th grade

\(97.\)

Step-by-step explanation:

By using Pythagoras theorem

AC² = AB² + BC².

Let AB = 72 and BC = 65.

AC² = 72² + 65²

AC² = 5184 + 4225

AC² = 9409.

AC = √9409

AC = 97.

2)

the given points are,

The formula to find the slope of the graph is,

thus, plug in the points respectively,

The slope of the given graph is -1/2.

Answer:

D

Step-by-step explanation:

Let the number be n.  Then "a number divided by 22" would be n/22 (Answer D)

The number divided by 22 can be written as x / 22, so option D is correct.

It is a fundamental operation in mathematics where you divide a number into smaller parts.

Given:

A number divided by 22,

Here, the divisor = 22

Assume the number is x

Then, dividend = x

Thus, expression can be written as,

dividend/divisor = x / 22

To know more about division:

https://brainly.com/question/27566440

#SPJ2

y = 3x + 5 is the equations of the line that goes through the point (-1,2) and is parallel to the line y = 3x - 4.

Equation of the line are represented in the form:

Slope-intercept form:

y = mx + c

Where m shows the slope of line and c is the y intercept of line.

Intercept form:

x/a + y/b = 1

General form of the straight line, i.e. Ax +By +C = 0

x/ (-C/A) + y/ (-C/B) = 1

where a is equal to -C/A and b is equal to – C/B

Normal form:

The equation of the line whose length of the normal from the origin is p and the angle made by the normal with the positive x-axis is given by α is given by:

x cosα+y sinα = p

Given,

Point = (-1,2) = (x2,y2)

Equation of line =  y = 3x - 4.

General equation of the following given line = y - y1 = m ( x-x1 )

After comparing we get,

Slope of the given line = 3

As we know both the lines are parallel to each other so, their slopes must be equal.

m1 = m2 = 3

So the eqn. of the line having slope  3 and going through  (-1,2) is:

y - y1 = m2( x-x2 )

y -2 = 3(x - (-1))

y - 2 =  3(x + 1 )

y = 3x + 5

Hence, we get equation of the line as y = 3x + 5 .

To learn more about equation of line , visit:

brainly.com/question/2564656

#SPJ1

Answer:

You already know the answers

Step-by-step explanation:

I did the work to show you how i got there. It took a little time to get there, if you don't understand how i got there, then don't be afraid to ask me a question

Answer:

Slope (m) =

ΔY/ΔX

-1/4

=-0.25

Step-by-step explanation:

The given function is expressed as

f(x) = |x^2 + 2|

To find the value of f(3i), we would substitute x = 3i into the function. It becomes

f(3i) = |(3i)^2 + 2|

f(3i) = |(3^2 *i^2) + 2|

We know that i^2 = - 1

It becomes

f(3i) = |9 *- 1) + 2|

f(3i) = |- 9 + 2|

f(3i) = |- 7|

Answer:

33,000

Step-by-step explanation:

0.33 x 10^5 is 33,000

Answer:

C. rotation 180º about the origin

Step-by-step explanation:

Given

Quadrilaterals GWVY and G'W'V'Y'

Required

Describe the transformation rule

Pick points Y and Y'

\(Y = (5,-4)\)

\(Y' = (-5,4)\)

The above obeys the following rule:

\((x,y) \to (-x,-y)\)

When a point is rotated by 180 degrees, the rule is:

\((x,y) \to (-x,-y)\)

Hence, (c) is correct

The sine equation for the object's height is given as follows:

d = -5sin(0.24t).

The standard definition of the sine function is given as follows:

y = Asin(Bx) + C.

The parameters are given as follows:

The amplitude for this problem is of 5 inches, hence:

A = 5.

The period is of 1.5 seconds, hence the coefficient B is given as follows:

2π/B = 1.5

B = 1.5/2π

B = 0.24.

The function starts moving down, hence it is negative, so:

d = -5sin(0.24t).

More can be learned about trigonometric functions at brainly.com/question/21558626

#SPJ1

Answer:

y = x+6

Step-by-step explanation:

You can see that (0,6) and (1,7) are points on the line, and the y-intercept of the line is 6.

Use the coordinates of these points to find the slope of the line.

slope = (7-6)/(1-0) = 1

y-intercept = 6

Slope-intercept equation for line of slope 1  that has y-intercept of 6:

y = x+6

using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

Step-by-step explanation:

step 1. x + 51 + 39 + 127 = 360 (1 revolution is 360°)

step 2. x + 90 + 127 = 360

step 3. x + 127 = 270. (subtract 90 on both sides)

step 4. x = 143° (subtract 127 on both sides)

Answer: x = 1

Step-by-step explanation:

Perimeter of a square -> p = 4s (p stands for perimeter and s stands for side length)

Plug that in with s = 4x-1 (length of one side of the square) ->

p = 4 (4x-1)

We use the distributive property to get ->

p = 4 (4x) - 4(1)

  = 16x - 4

We now know that the perimeter of the square is 16x - 4.

Since we know that the perimeter of the square and rectangle are equal (the problem told us), we can use this and plug the length and width of the rectangle in. Formula for rectangles are -> p = 2 (s1 + s2) (s1 is the length, s2 is the width) (p stands for perimeter and s stands for side length).

p (perimeter) -> 16x - 4

s1 (length) -> 2x +2

s2 (width) -> 2x

Let's plug our answers in:

16x - 4 = 2( 2x + 2 + 2x)

Combine like terms:

16x - 4 = 2 (4x + 2)

Use the distributive property:

16x - 4 = 2 (4x) + 2 (2)

Simplify:

16x - 4 = 8x +4

Inverse Operations:

16x - 4 - 8x = 8x +4 -8x

Combine like terms:

8x - 4 = 4

Inverse Operations:

8x - 4 + 4 = 4 + 4

Simplify:

8x = 8

Divide:

8x / 8 = 8 / 8

Simplify:

x = 1

If you have any questions, feel free to ask me (or anyone else)! Good luck!

Step-by-step explanation:

blue line = x

12c-8-2c+10-4=10c-x

(12-2)c+(10-4-8)=10c-x

10c-2=10c-x

=> x=2

Answer:

a rigt angle is a total of 90 degrees so subtratct 51 from 90 and you get 39 degrees.

Answer:

zoom it in i cant see barley !!!!

Step-by-step explanation:

Step-by-step explanation:

umm u can press the pic and then zoom and I think its 5 feet

Answer:

1758 years

Step-by-step explanation:

0.693/t1/2 = 2.303/t log No/N

t1/2 = half life of the C-14

t= time taken

No= amount of radioactive material originally present

N= amount of isotope after time t.

But N= 0.81 No

0.693/5715= 2.303/t log No/0.81No

0.00012 = 0.211/t

t =0.211 /0.00012

t= 1758 years

If we call the efficiency of the first car as x and the efficiency of the second car as y, from the sentence "the sum of their fuel efficiencies was 60 miles per gallon.", we have the following equation

The distance travelled by a car is given by the product between the efficiency and the amount of gas consumed, therefore, the combined distance travelled is given by the sum of the products between the efficiency and the respective amount of gas consumed. The first car consumed 20 gallons of gas and the second consumed 15 gallons of gas, this means we have the following equation

Now, we have a system with two variables and two equations

If we multiply the first one by 15 on both sides, we're going to have

If we subtract the first equation from the second, we get a new equation only for x

The efficiency of the first car is 25 miles per gallon.

Using our x-value on any of the previous equations give to us the y-value

The efficiency of the second car is 35 miles per gallon.