A patient is to receive medication at the rate of 0.3mg per kilogram of body weight. How many milligrams will you administer if the patient weighs 80kg? Round your final answer to 2 decimal places if necessary.

The number of Jim's model car is 48

From the question, we have the following parameters that can be used in our computation:

Ratio of the number of model cars that Jim owns to the number of model cars Terrence owns is 8 : 6

This means that

Jim : Terrence = 8 : 6

Also from the question, we have

Terrence owns 36 models cars

This means that

Terrence = 36

Substitute the known values in the above equation, so, we have the following representation

Jim : 36 = 8 : 6

Multiply by 6

Jim : 36 = 48 : 36

So, we have

Jim = 48

Hence, the number of car is 48

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The statement "Economists and accountants usually disagree in the inclusion of implicit costs into the cost analysis of a firm " is true

Accountants are the peoples who track the flow of money for the individuals and the business activities. But the Economist track the largest trends that use the money and resources of the company

So the view of the Economist and accountant on cost is different, because both of them are seeing the cost analysis of the company in different ways.  So it possible that the Economists and accountants disagree in the inclusion of implicit cost

Therefore, the given statements is true

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Answer:

5

Step-by-step explanation:

when c = 7,

substitute 7, into 35÷c

35 ÷ 7 = 5

Step-by-step explanation:

7

1 ---

18

hope it helps !

Answer:

The selling price of the diamond necklace at Shamin Jewelers after 10% discount is:

$442 * 0.9 = $397.80

The selling price of the same necklace at the competitor's store after 34% and 14% discount is:

$527 * 0.66 * 0.86 = $247.08

So, Shamin Jewelers needs to offer an additional discount to meet the competitor's price:

$397.80 - $247.08 = $150.72

To calculate the additional rate of discount, we divide the difference by the original selling price at Shamin Jewelers and multiply by 100:

($150.72 / $442) * 100 = 34.11%

Therefore, Shamin Jewelers must offer an additional 34.11% discount to meet the competitor's price.

Step-by-step explanation:

Answer:

n is 1/3

Step-by-step explanation:

if u solve the problem normally then it gives 0/0 form so

x(2x^2-1)/3x cross out the numerator and denominator x and x from 3x then keep 0 in place of x.

(2 x 0 ^2-1)/3 = -1/3

since the function is continuous at x = 0 so n = -1/3

The measure of the angle m∠ZYX of the trapezoid is equal to 139°

A trapezoid is a quadrilateral with two parallel sides. The parallel sides are called the bases of the trapezoid, and the other two sides are called the legs. The adjacent angles of the trapezium are supplementary, so their sum is equal to 180°.

3x + 19 + x + 1 = 180°

4x + 20 = 180°

4x = 180 - 20 {collect like terms}

4x = 160

x = 160/4 {divide through by 4}

x = 40

m∠ZYX = 3(40) + 19 = 139°.

WXYZ is a trapezoid. Equation used to solve for x is (3x + 19) + (x + 1) = 180° because the angles m∠XYZ and m∠WXY are adjacent angles.

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Answer:

13510 ft

Step-by-step explanation:

I have attached a triangle diagram to depict this situation.

From the diagram, we see that distance between A and B is denoted by x.

Now, from trigonometric ratios in this type of triangle, let's first find y.

6400/y = tan 36

y = 6400/tan 36

y = 8808.84 ft

Now, we can find x from;

6400/(8808.84 + x) = tan 16

6400/tan 16 = 8808.84 + x

22319.452 = 8808.84 + x

x = 22319.452 - 8808.84

x ≈ 13510 ft

The distance the plane traveled from point A to point B is 13510 ft

Here we assume the distance between A and B should be x.

Now the y value should be

\(6400\div y = tan 36\\\\y = 6400\div tan 36\)

y = 8808.84 ft

Now, we can find x

\(6400\div (8808.84 + x) = tan\ 16\\\\6400\div tan\ 16 = 8808.84 + x\)

22319.452 = 8808.84 + x

x = 22319.452 - 8808.84

x ≈ 13510 ft

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Answer:

because they are congruent...

Answer:

X is 5 cm.

Step-by-step explanation:

Answer:

This question is not fully filled out.

The expression that is always equivalent to sin x when 0° < x < 90° is (1) cos (90° - x). Option 1

To understand why, let's analyze the trigonometric functions involved. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. Since we are considering angles between 0° and 90°, we can guarantee that the side opposite the angle will always be the shortest side of the triangle, and the hypotenuse will be the longest side.

Now let's examine the expression cos (90° - x). The cosine of an angle is defined as the ratio of the length of the side adjacent to the angle to the length of the hypotenuse. In a right triangle, when we subtract an angle x from 90°, we are left with the complementary angle to x. This means that the remaining angle in the triangle is 90° - x.

Since the side adjacent to the angle 90° - x is the same as the side opposite the angle x, and the hypotenuse is the same, the ratio of the adjacent side to the hypotenuse remains the same. Therefore, cos (90° - x) is equivalent to sin x for angles between 0° and 90°.

On the other hand, options (2) cos (45° - x) and (3) cos (2x) do not always yield the same value as sin x for all angles between 0° and 90°. The expression cos x (option 4) is equivalent to sin (90° - x), not sin x.

Option 1 is correct.

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Answer:

Sharpe Ratio?

if you looking for a name for your definition, thats it

good luck!

Answer:

Infinite Solutions.

Step-by-step explanation:

\(m+7=3+m+4\)

Subtract m from both sides:

\(m+7-m=3+m+4-m\)

\(7=3+4\)

\(7=7\)

Both sides are equal.

This means that the value of m does not affect the end result of 7 = 7, which is true. Thus, there are infinite solutions as any value of m will still make the equation true.

Answer:

Infinite Solutions

Step-by-step explanation:

Hope this will help

Answer:

875 cubic feet

Step-by-step explanation:

10x5x5=250

10x5x5=250

5x15x5=375

250+250+375=875

Hope this helps!

A graph of the given piecewise-defined function is shown in the image below.

In Mathematics and Geometry, a piecewise-defined function simply refers to a type of function that is defined by two (2) or more mathematical expressions over a specific domain.

Generally speaking, the domain of any piecewise-defined function simply refers to the union of all of its sub-domains. By critically observing the graph of this piecewise-defined function, we can reasonably infer and logically deduce that it is constant over several intervals or domains such as x > 2 and x < -2.

In conclusion, this piecewise-defined function has a removable discontinuity.

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Answer: Let's begin by assigning variables to represent the dimensions of the room. Let's use "l" to represent the length and "w" to represent the width.

We know that the length of the room is 5 feet longer than twice the width, so we can write an equation:

l = 2w + 5

We also know that the perimeter of the room is 178 feet. The formula for the perimeter of a rectangle is:

perimeter = 2(length + width)

Substituting the equation we found for the length, we get:

178 = 2(2w+5 + w)

Simplifying, we can combine like terms and solve for w:

178 = 2(3w+5)

89 = 3w+5

84 = 3w

w = 28

Now that we know the width is 28 feet, we can use the equation for the length to find the length:

l = 2w+5 = 2(28)+5 = 61

Therefore, the dimensions of the room are 61 feet by 28 feet.

Step-by-step explanation:

Answer:

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

Step-by-step explanation:

For each adult, there are only two possible outcomes. Either they have a high school degree as their highest educational level, or they do not. The probability of an adult having it is independent of any other adult. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

In which \(C_{n,x}\) is the number of different combinations of x objects from a set of n elements, given by the following formula.

\(C_{n,x} = \frac{n!}{x!(n-x)!}\)

And p is the probability of X happening.

30.4% of U.S. adults 25 years old or older have a high school degree as their highest educational level.

This means that \(p = 0.304\)

100 such adults

This means that \(n = 100\)

Determine the probability that the number who have a high school degree as their highest educational level is a. Exactly 32

This is P(X = 32).

\(P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}\)

\(P(X = 32) = C_{100,32}.(0.304)^{32}.(0.696)^{68} = 0.0803\)

0.0803 = 8.03% probability that the number who have a high school degree as their highest educational level is exactly 32.

Answer: x = 1.49

Step-by-step explanation:

1.8x - 4.41 = -1.728 Given

1.8x = -1.728 + 4.41 Add 4.41 to both sides.

1.8x = 2.682 Simplify right side of the equation.

x = 2.682 ÷ 1.8 Divide both sides by 1.8 to isolate x, then simplify

x = 1.49

Answer:

stacy 30 and naomi 18

Step-by-step explanation:

Answer:

Step-by-step explanation:

dudjdjd

Answer:

86.60254

Step-by-step explanation:

30-60-90 triangle, which means that the base is 10. 1/2(10)(10 rt 3). Simplify answer as needed :)

The function of the  area of the forest in terms of time is A(t) = π(2t + 1)²

The given parameters are

Radius function,  r(t) = 2t + 1

From the question, we understand that:

The pattern is circular

The area of a circle is

A = πr²

Express as a function

A(r) = πr²

Substitute r(t) = 2t + 1

A(t) = π(2t + 1)²

Hence, the area function in terms of time is A(t) = π(2t + 1)²

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Answer:

Step-by-step explanation:

Its 4.51

Answer:

25

Step-by-step explanation:

l x w = h

25 x 7.2 = 180

Answer:

To calculate 2 3/4 of 500 grams, follow these steps:

1. Convert the mixed number to an improper fraction:

2 3/4 = (2 x 4 + 3)/4 = 11/4

2. Multiply the improper fraction by 500:

11/4 x 500 = (11 x 500)/4 = 2,750/4

3. Simplify the fraction by dividing the numerator and denominator by their greatest common factor, which is 2:

2,750/4 = (2 x 1,375)/(2 x 2) = 1,375/2

Therefore, 2 3/4 of 500 grams is equal to 1,375/2 grams or 687.5 grams.

Step-by-step explanation:

Answer:

11 times

Step-by-step explanation:

So if you look at the point where the line is on two real numbers at the top of the grid, it shows that it cost $10 for every 5 rides. So if you find the unit rate, divide 10 by 5 to see how much each ride cost, you get that each ride cost $2. Then just divide $22 by $2 and you get 11. Hope this helps, comment if you need more help

Answer:

y=2x+6.

Step-by-step explanation:

1) the condition 'an x-intercept of "-3"' means the point A with the coordinates (-3;0), then it is possible to make up the required equation according to the rule (the coordinates (-2;2) belong to the point B):

\(2) \ \frac{x-X_B}{X_A-X_B}=\frac{y-Y_B}{Y_A-Y_B}, \ where \ X_A=-2;Y_A=2;X_B=-3;Y_B=0.\)

after the substitution the coordinates into the rule:

\(\frac{x+3}{-2+3} =\frac{y-0}{2-0}; \ => \ \frac{x+3}{1}=\frac{y}{2}; \ => \ y=2x+6.\)

Answer:

i think 70 words per minute

Step-by-step explanation:

Answer:

20. A. 357.8 in³

B. 1231.5 yd³

Step-by-step explanation:

20.

A.

Volume of Pyramid : ⅓*base area * height

here,

Base area = area of rectangle=length*breadth =10*8=80in²

Now

Height can be calculated by using Pythagorous theorem

height =\(\sqrt{(slant\: height)^2-(\frac{breadth}{2})^2}\)

height =\(\sqrt{14^2-(\frac{8}{2})^2}=\sqrt{196-16}=\sqrt{180}=13.42 in\)

height =13.4 in

Now

Volume of pyramid = ⅓*base area *height

Volume of Pyramid=⅓*80*13.42

Volume of Pyramid=357.8 in³

B.

Volume of cone = ⅓*area of base* height

Here

slant height=24 yd

height =?

diameter=14yd

radius =14/2=7 yd

Let's find the height:

By using the Pythagorous theorem,

slight height²=radius²+height²

substituting value

25²=7²+height²

height²=25²-7²

height =\(\sqrt{576}\)=24 yd

Now

Area of Base= πr²=π*7²=153.94 yd²

Now

Volume = ⅓*area of base*height =⅓*153.94*24=1231.5 yd³

So,

Volume of cone is 1231.52 yd³.

Answer:

I'll just do the entire thing since it's 13 points

1. 35

2. 45

3. 45

4. 65

5. 115

6. 65

7. 80

8. 35

9. 145

Answer: Answer would be C.80