How many milligrams are in a 2 tsp dose of liquid medication if there are 2.5 g in 2 fl oz?​

Answer: the answer to your question is $57.75

Step-by-step explanation: so first you have to realize that if you have something that is 35 percent off then you have .65 of that thing so you multiply 35 by .65 then you get 22.75 then you add that to 35 for your answer.

Test statistic Z= 0.13008 < 1.96 at 0.10 level of significance.

The null hypothesis is accepted.

There is no significant difference between the attractiveness ratings given by the three groups of girls.

Surveyed two random samples of 390 men and 360 women who were tested.

first sample percentage,

p1 = 360 ÷ 390 = 0.9230

second sample percentage,

p2 = 47 ÷ 52 = 0.9030

There is no change, according to the null hypothesis the percentage of males who have positive tests is significantly from the percentage of women who have positive tests.

Different Hypotheses:

There is a discrepancy in the percentage of schoolgirls who heard about a male with stylish clothes, a great automobile, or a confident demeanor across the three groups that were randomly allocated.

Z = (p1 - p2) ÷ √(PQ((1 ÷ n1) + (1 ÷ n2)))

where

p = (n1p1 + n2p2) ÷ n1 + n2

p = 0.920

Z = (0.9230 - 0.9030) ÷ √(0.9230((1 ÷ 390) + (1 ÷ 52)))

Test statistic Z =  0.13008

Level of significance = 0.10

The critical value Z₀.₁₀ = 1.645

Test statistic Z=0.13008 < 1.645 at 0.1 level of significance

The null hypothesis is accepted.

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Answer:

one solution , y = - 3

Step-by-step explanation:

- 2(y + 2) + 7 = 3(y + 6) ← distribute parenthesis on both sides

- 2y - 4 + 7 = 3y + 18

- 2y + 3 = 3y + 18 ( subtract 3y from both sides )

- 5y + 3 = 18 ( subtract 3 from both sides )

- 5y = 15 ( divide both sides by - 5 )

y = - 3

Answer: one solution and that would be

y=3

Step-by-step explanation:

-2(y+2)+7=3(y+6)

-2y-4+7=3y+18

-2y+3=3y+18

     -3        -3

-2y=3y+15

+2  +2

5y=15

y=3

Answer:

(5z)² in the form kzⁿ is 5²z².

we write the iterated integral of a continuous function f over the region using the order dy dx. Since the region is symmetric with respect to the x-axis, we can integrate over the top half of the region and then multiply by 2.
Here, "region" refers to the part of the circle of radius 5 centered at the origin that lies in the first quadrant, "integral" refers to the calculation of the area or volume under a curve or surface, and "quadrant" refers to one of the four regions obtained by dividing a plane into four equal parts by the x- and y-axes.

Step 1: Sketch the region
The region (R) is in the first quadrant, which means x ≥ 0 and y ≥ 0. The region is bounded by a circle with radius of 5 centered at the origin (0,0). This circle can be represented by the equation x^2 + y^2 = 25.

Step 2: Write the iterated integral
To find the iterated integral of a continuous function f over the region R using the order dy dx, we first need to find the bounds for y and x.
The limits of integration for y are from 0 to the y-coordinate of the top half of the circle, which is √(25-x^2). The limits of integration for x are from 0 to 5. Therefore, the iterated integral is:
∫ from 0 to 5 ∫ from 0 to √(25-x^2) f(x,y) dy dx

For y: Since R is in the first quadrant and bounded by the circle, the lower bound for y is y = 0. The upper bound for y, given x, is the equation of the circle's top half, solving for y: y = sqrt(25 - x^2).

For x: Since R is in the first quadrant, the lower bound for x is x = 0, and the upper bound is x = 5 (the radius of the circle).

Now we can write the iterated integral using these bounds:
∫(from x=0 to x=5) ∫(from y=0 to y=sqrt(25-x^2)) f(x,y) dy dx

This iterated integral represents the continuous function f over the specified region R in the first quadrant, using the order dy dx.

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Answer:

Step-by-step explanation:

Number of leashes Bob can make in 2 hours = 7

Number of leashes Bob can make in 1 hour = 7÷2 = 3.5

Let, Bob takes total x hours.

Number of leashes Nina can make in 1 hour = 4

Let, Nina takes total x hours.

∴  The equation that can be used to find the number of hours it takes bob and Nina to make 60 leashes is given by-

3.5x+4x = 60.

7.5x = 60

This equation can be used to find the number of hours taken by Bob and Nina by putting different values of x and y which satisfies above equation.

The expression (21 + 5i) + (-1 + i) demonstrates the commutative property of addition for (-1 + i) + (21 + 5i)

An equation is an expression that shows the relationship between two or more number and variables.

Given the expression:

(-1 + i) + (21 + 5i)

Using the commutative property of addition, we get:

(21 + 5i) + (-1 + i)

The expression (21 + 5i) + (-1 + i) demonstrates the commutative property of addition for (-1 + i) + (21 + 5i)

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Answer:

A : (–1 + i) + (21 + 5i) + 0

Step-by-step explanation:

got it right on edge

Answer:

5

Step-by-step explanation:

The constant of proportionality k is calculated as

k = \(\frac{gallons}{time}\)

Then

k = \(\frac{5}{1}\) = \(\frac{10}{2}\) = \(\frac{15}{3}\) = \(\frac{35}{7}\) = \(\frac{50}{10}\) = 5

Answer:

the constant of proportionality in the table is 5.

Step-by-step explanation:

the answer is 5 because 1 x 5 = 5 ,2 x 5=10 , 3 x 5 = 15 , 7 x 5 = 35, and 10 x 5 = 50.

If Fidel has a rare coin worth $550 and its value increases by 10% each decade, we can calculate the value of the coin after a certain number of decades by applying the compound interest formula.

The compound interest formula is given by:

A = P(1 + r)^n

Where:

A is the final amount (value of the coin after n decades)

P is the initial amount (value of the coin)

r is the interest rate per period (in decimal form)

n is the number of periods (in this case, the number of decades)

In this case, the initial amount (P) is $550 and the interest rate per decade (r) is 10% or 0.1 (in decimal form).

Let's calculate the value of the coin after 1 decade:

A = 550(1 + 0.1)^1

A = 550(1.1)

A = $605

After 1 decade, the value of the coin would be $605.

Similarly, we can calculate the value of the coin after multiple decades. For example, after 2 decades:

A = 550(1 + 0.1)^2

A = 550(1.1^2)

A = $665.50

After 2 decades, the value of the coin would be $665.50.

You can continue this calculation for any number of decades to determine the value of the coin.

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Answer:

it is 0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

Once you simplify the equation, you get 40-64+24. When you use 40+24, you get 64 which cancles out the other 64

Answer:

675

Step-by-step explanation:

Given:

The three vertices of the parallelogram are (-3,9), (0,-3), (6,-6).

To find:

The fourth vertex of the parallelogram.

Solution:

Consider the three vertices of the parallelogram are A(-3,9), B(0,-3), C(6,-6).

Let D(a,b) be the fourth vertex.

Midpoint formula:

\(Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)\)

We know that the diagonals of a parallelogram bisect each other. So, the midpoints of both diagonals are same.

Midpoint of AC = Midpoint BD

\(\left(\dfrac{-3+6}{2},\dfrac{9+(-6)}{2}\right)=\left(\dfrac{0+a}{2},\dfrac{-3+b}{2}\right)\)

\(\left(\dfrac{3}{2},\dfrac{3}{2}\right)=\left(\dfrac{a}{2},\dfrac{-3+b}{2}\right)\)

On comparing both sides, we get

\(\dfrac{3}{2}=\dfrac{a}{2}\)

\(3=a\)

And,

\(\dfrac{3}{2}=\dfrac{-3+b}{2}\)

\(3=-3+b\)

\(3+3=b\)

\(6=b\)

Therefore, the fourth vertex of the parallelogram is (3,6).

The equilibrium point for the supply and demand equations p² + 4q = 253 and 183p² + 6q = 0 is (q, p) = (3, 10).

To find the equilibrium point, we need to solve the system of equations formed by the supply and demand equations. By substituting the value of q = 3 into the first equation, we get p² + 4(3) = 253, which simplifies to p² + 12 = 253.

Solving this equation gives us p = 10. Substituting the values of q = 3 and p = 10 into the second equation, we get 183(10)² + 6(3) = 0, which simplifies to 18300 + 18 = 0.

Since this equation holds true, we have found the equilibrium point to be (q, p) = (3, 10), where the equilibrium quantity is q = 3 and the equilibrium price is p = 10.

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The system of equation that can be used to represent the situation is as follows:

The number of water bottle bought = 6

The number of pretzel bought = 10

Let

x = number of water bottle bought

y = number of pretzel bought

Hanson buys 16 items. Therefore,

Hanson spends a total of $47. Therefore,

Therefore, let multiply equation(i) by 2

2x + 2y = 32

2x + 3.5y = 47

1.5y = 15

y = 15 / 1.5

y = 10

x + 10 = 16

x = 6

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a. the equation for the object's velocity is v(t) = -6 cos(t) - 1. b. the total distance traveled by the object from time 0 to time t is 6 sin(t) + t meters.

a) To find the equation for the object's velocity, we need to integrate the acceleration function with respect to time.

The integral of a(t) = 6 sin(t) with respect to t gives us the velocity function v(t):

v(t) = ∫(6 sin(t)) dt

Integrating sin(t) gives us -6 cos(t), so the equation for the object's velocity is:

v(t) = -6 cos(t) + C

To find the constant C, we use the initial velocity v(0) = -7 m/s:

-7 = -6 cos(0) + C

-7 = -6 + C

C = -1

Therefore, the equation for the object's velocity is:

v(t) = -6 cos(t) - 1

b) To find the object's displacement from time 0 to time 3, we need to integrate the velocity function over the interval [0, 3]:

Displacement = ∫[0,3] (-6 cos(t) - 1) dt

Integrating -6 cos(t) gives us -6 sin(t), and integrating -1 gives us -t. Applying the limits of integration, we have:

Displacement = [-6 sin(t) - t] from 0 to 3

Plugging in the upper and lower limits:

Displacement = [-6 sin(3) - 3] - [-6 sin(0) - 0]

Displacement ≈ -6 sin(3) + 3

Therefore, the object's displacement from time 0 to time 3 is approximately -6 sin(3) + 3 meters.

c) To find the total distance traveled by the object from time 0 to time t, we need to integrate the absolute value of the velocity function over the interval [0, t]:

Total Distance = ∫[0,t] |(-6 cos(t) - 1)| dt

Since the absolute value function makes the negative part positive, we can rewrite the equation as:

Total Distance = ∫[0,t] (6 cos(t) + 1) dt

Integrating 6 cos(t) gives us 6 sin(t), and integrating 1 gives us t. Applying the limits of integration, we have:

Total Distance = [6 sin(t) + t] from 0 to t

Plugging in the upper and lower limits:

Total Distance = [6 sin(t) + t] - [6 sin(0) + 0]

Total Distance = 6 sin(t) + t

Therefore, the total distance traveled by the object from time 0 to time t is 6 sin(t) + t meters.

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The solution to the equation 4x + 2y = 36 is of y = 18 - 2x, which means that the two equations are equivalent equations.

Equivalent equations are equations that are equal when both are simplified the most.

The equation in the context of this problem is defined as follows:

4x + 2y = 36

To solve the equation, we must isolate the variable y, hence:

2y = 36 - 4x.

Simplifying the entire equation by two, we have that:

y = 18 - 2x.

As y = 18 - 2x is the most simplified expression of 4x + 2y = 36, the two equations are equivalent equations.

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Answer: -3/16

Step-by-step explanation:

When there is a negative exponent like x^-2 it equals 1/(x^2) the negative puts the number as a fraction so continuing...

-12(x^-2) (y^-2) can be rewritten as

-12 (1/x^2) (1/y^2) now we plug in x = -2 and y = 4

-12 (1/(-2^2) (1/(4^2)); -2^2 = 4 , 4^2 = 16

-12 (1/4) (1/16)

-3 (1/16)

= -3/16

Answer:

$ 7800

Step-by-step explanation:

P'(t) = 3t² + 10t + 6

\(P(t) = \int\limits^a_b {P'(t)} \, dt\)

For the 4th year, the limits are [3,4]

\(P(t) = \int\limits^4_3 {3t^2 + 10t + 6} \, dt\\\\= [\frac{3t^3}{3} + \frac{10t^2}{2} + 6t]^{^4}__{3}\\\\\)

\(=[\frac{3(4)^3}{3} + \frac{10(4)^2}{2} + 6(4)]-[\frac{3(3)^3}{3} + \frac{10(3)^2}{2} + 6(3)]\\\\=[\frac{3(64)}{3} + \frac{10(16)}{2} + 24]-[\frac{3(27)}{3} + \frac{10(9)}{2} + 18]\\\\= [64 + 5(16) + 24]-[27+5(9) + 18]\\\\= 168-90\\\\= 78\)

= $ 7800

Answer:

To find the total length of the two sides, we simply add them together:

Total length = Side 1 + Side 2

Total length = (8x^2 - 5x - 2) + (7x - x^2 + 3)

Total length = -x^2 + 8x^2 - 5x + 7x - 2 + 3

Total length = 7x^2 + 2x + 1

Therefore, the total length of the two sides of the triangle is 7x^2 + 2x + 1.

Step-by-step explanation:

To find the length of the third side of the triangle, we need to use the formula for the perimeter of a triangle:

Perimeter = Side 1 + Side 2 + Side 3

We are given the perimeter of the triangle as 4x^3 - 3x^2 + 2x - 6 and we know the lengths of Side 1 and Side 2. Therefore, we can rewrite the formula as:

4x^3 - 3x^2 + 2x - 6 = (8x^2 - 5x - 2) + (7x - x^2 + 3) + Side 3

Simplifying the right-hand side:

4x^3 - 3x^2 + 2x - 6 = 7x^2 + 2x + 1 + Side 3

Side 3 = 4x^3 - 3x^2 + 2x - 6 - 7x^2 - 2x - 1

Simplifying further:

Side 3 = 4x^3 - 7x^2 - x - 7

Therefore, the length of the third side of the triangle is 4x^3 - 7x^2 - x - 7.

Yes, the answers for Part A and Part B show that the polynomials are closed under addition and subtraction.

Closure under addition means that when two polynomials are added, the result is also a polynomial. In Part A, we added the two polynomials 8x^2 - 5x - 2 and 7x - x^2 + 3 to get the total length of the two sides of the triangle, which is 7x^2 + 2x + 1. Since the total length is also a polynomial, this shows that the polynomials are closed under addition.

Closure under subtraction means that when one polynomial is subtracted from another polynomial, the result is also a polynomial. In Part B, we subtracted the two polynomials 8x^2 - 5x - 2 and 7x - x^2 + 3 from the given perimeter of the triangle, 4x^3 - 3x^2 + 2x - 6, to get the length of the third side of the triangle, which is 4x^3 - 7x^2 - x - 7. Since the length of the third side is also a polynomial, this shows that the polynomials are closed under subtraction.

Therefore, the answers for Part A and Part B demonstrate that the polynomials are closed under addition and subtraction.

Length of BD is 11 units.

The intersecting chords theorem or just the chord theorem is a statement in elementary geometry that describes a relation of the four line segments created by two intersecting chords within a circle. It states that the products of the lengths of the line segments on each chord are equal.

Let length of AE be x

By intersecting chords theorem,

AE(ED) = BC(DE)

x(x + 12) = (x +2)(x +5)

x² + 12x= x² + 7x + 10

5x = 10

x = 2

BD = BE + DE

= x + x +7

= 2x + 7

= 2(2) + 7

= 11 units

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On a linear graph, the unit rate is obtained by calculating the slope of the line.

Answer: 8

Step-by-step explanation: Utilizing the POWER of order of operations we will multiply the 2 and 3 together first to get 6 and then add the 2 to get 8. Hope this helped :)

Answer: 8

Step-by-step explanation:

Parenthesis (Please)

Exponent (Excuse)

Multiplication (My)

Division (Dear)

Addition (Aunt)

Subtraction (Sally)

2x3= 6

6+2=8

Answer:

2.5h=20

Step-by-step explanation:

:D

Answer:

1.  B.) (3x=2) Meters

2. D.) 16

3. D.) 85cm

Answer:

360 miles

Step-by-step explanation:

Here are the major balance sheet classifications and their proper balance sheet classification.Current assets (CA)Long-term investments (LTI)Property, plant, and equipment (PPE) Intangible assets (IA) Stockholders’ equity (SE) Current liabilities (CL) Long-term liabilities (LTL).

Matching of balance sheet items to its proper balance sheet classification: Salaries and wages payable - Current Liabilities (CL) Equipment - Property, plant, and equipment (PPE) Service revenue - Current assets (CA)Depreciation expense - NA Interest payable - Current liabilities (CL) .

Goodwill - Intangible assets (IA)Debt investments (short-term) - Current assets (CA)Retained earnings - Stockholders’ equity (SE)Mortgage payable (due in 3 years) - Long-term liabilities (LTL)Unearned service revenue - Current liabilities (CL)Investment in real estate - Long-term investments (LTI)Accumulated depreciation—equipment - Property, plant, and equipment (PPE)

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Answer:

f(x)=5-x

Step-by-step explanation:

The rate of change of volume (dV/dt) of a cone is 28π.

The volume (V) of a cone can be expressed as V = (1/3)πr²h, where r is the radius of the base and h is the height. To find the rate of change of volume with respect to time (dV/dt), we can differentiate the volume equation with respect to time.

dV/dt = (1/3)π(2r)(dr/dt)h + (1/3)πr²(dh/dt)

Given that dV/dt = 28π, we can set up the equation:

28π = (1/3)π(2r)(dr/dt)h + (1/3)πr²(dh/dt)

Simplifying the equation and solving for the unknown values (dr/dt and dh/dt) would require additional information such as the values of r and h and their rates of change.

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Answer:

SU= ST+TU

12=4+TU

si TU =12-4= 8