1. The value of 25 x (8.5) is:
a.
More than 250
b. Less than 250

When it comes to medication or medical care, the person who would usually face the greatest impact from a discrepancy in dosage is the individual who is undergoing the treatment.

Insufficient dosage may result in a lack of intended therapeutic effects and failure to improve the patient's condition as anticipated. Also, if the amount administered is excessive, the individual may suffer from negative consequences or possible injury.

It should be noted that the effects of a difference in medication dosage can differ based on the type of medicine, the condition being treated, and personal characteristics like age, weight, general health, and specific reactions or sensitivities.

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Answer:

(a). \(A_{x}\) = \(\left[\begin{array}{cc}12&-4\\66&6\end{array}\right]\)

Step-by-step explanation:

\(\left \{ {{5x-4y=12} \atop {3x+6y=66}} \right.\)

A = \(\left[\begin{array}{cc}5&-4\\3&6\end{array}\right]\)

\(A_{x}\) = \(\left[\begin{array}{cc}12&-4\\66&6\end{array}\right]\)

\(A_{y}\) = \(\left[\begin{array}{cc}5&12\\3&66\end{array}\right]\)

A budget plan for New Year’s Celebration with ₱ 2, 000. 00 is :

You can prepare simple dishes at home like spaghetti, sandwiches, or fried rice, which can be filling and tasty. You can also buy drinks like soda or juice to serve your guests which brings the food and drinks to ₱1, 000. 00.

You can buy balloons, party hats, and other decorations to add to the festive mood of the celebration. You can plan some games or activities like karaoke, charades, or board games to keep your guests entertained. This allows for a budget for New Year’s Celebration.

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Answer: \(cosx =- \sqrt{ 1 - sin^2x}\)

Step-by-step explanation:

Generally speaking; \(cos^2x + sin^2x = 1\)

rearranging this gives us all sorts of cool things.

for now, we will use: \(cosx = \sqrt{ 1 - sin^2x}\)

This however, is general.

In the third quadrant, cosine is negative. So cosx in QIII will be:

\(cosx =- \sqrt{ 1 - sin^2x}\)

and thats the answer :)

The amount going to her savings accounts is $192

The given parameters are:

Drawings = 24

Rate = $12

The total amount earned from selling the drawings is:

Total = 24 * $12

Evaluate

Total = $288

She buys books with 1/3.

This means that she saved 2/3

So, we have:

Savings = 2/3 * $288

Evaluate

Savings = $192

Hence, the amount going to her savings accounts is $192

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Answer:

h = 6 yards

Step-by-step explanation:

(10)

the area (A) of a triangle is calculated as

A = \(\frac{1}{2}\) bh ( b is the base and h the height )

given A = 27 and b = 9 , then

\(\frac{1}{2}\) × 9 × h = 27 ← multiply both sides by 2 to clear the fraction

9h = 54 ( divide both sides by 9 )

h = 6 yards

Answer:

well the answer should be -1.8

but I'm guessing A

Answer:

\(-\frac{9}{10}\) \(or\) \(-0.9\) \(or\) \(C\)

Step-by-step explanation:

\(\frac{2}{4}\div\frac{-5}{9}\) = \(?\)

\(\frac{2}{4}\) = \(0.5\)

\(\frac{-5}{9}\) = \(-0.555555555556\)

\(0.5\div-0.555555555556\) = \(-0.899999999999\) = \(-0.9\)

\(So\), \(the\) \(answer\) \(is\) \(C\).

\(This\) \(is\) \(because\) \(A\) \(is\) \(\frac{-9}{10}\) \(instead\) \(of\) \(-\frac{9}{10}\).

Hope this helps! <3

Answer:

∠ ABC = 49°

Step-by-step explanation:

the chord- tangent angle ABC is half the measure of the intercepted arc AB

∠ ABC = \(\frac{1}{2}\) AB = \(\frac{1}{2}\) × 98° = 49°

Answer:

Step-by-step explanation:

To differentiate the function y = x^4 - x, we will use the power rule of differentiation. The power rule states that if f(x) = x^n, then the derivative of f(x) is f'(x) = nx^(n-1).

So, for y = x^4 - x, we can find the derivative as follows:

y' = 4x^3 - 1

So, the derivative of the function y = x^4 - x is y' = 4x^3 - 1.

Answer: A.

Step-by-step explanation:

a. Using the ratio of the sides 12 cm and 16 cm

x/20 = 12/16

x = (12(20)) / 16 = 15

b. Using the ratio of the sides 6 cm and 8 cm

x/20 = 6/8

x = (6(20)) / 8 = 15

c. The answer is the same since the ratio 12/16 and 6/8 is both equal to ¾.

Hope this answer will be a good help for you.

Answer:

Given - Two angles measures 2x and 3x

To find - size of 3x

Solution -

2x + 3x = 360° ( Make reflex angle )

5x = 360°

x = 360/5

x = 72°

3x = 3 * 72 = 216°

Answer:

5

Step-by-step explanation:

Answer:

14 triangles

Step-by-step explanation:

Just make equilateral triangles

Answer:

I’m pretty sure it’s 12

Step-by-step explanation:

There are 12 equilateral triangles

Answer:

O a=0

Step-by-step explanation:

The solution for all three is mathematically given as

Generally, the equation for students taking only PE and not Bio and Eng is  mathematically given as

P(PBE)= 28 – (5+6+4)

= 28 - 15

= 13

Students taking only Bio and not PE and Eng

P(BP)= 31 – (5+4+2)

= 31 - 11

= 20  

Students who are merely studying English and are not also taking Bio and PE

P(EP)= 42 – (6+4+2)

= 42 - 12

= 30  

Now, students who have taken three different classes

P(3)= 100 - ( 13 + 5 + 4 + 20 + 2 + 30 + 6 )

= 100 - 80

= 20

In conclusion, Students who have taken BIO and PE but not ENG will get a = 5 for their efforts.

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Answer:

BAE + ECB + ABC = 180 [ BEING INTERIOR TRIANGLE ANGLES SUM ]

Answer:

180 = Angle ABC + BAE + ECB

180 = Angle ABC + 27 + 21

Angle ABC = 180 -27 -21

Angle ABC = 132

Angle ABC = Angle ADC (opposite angles of a parallelogram are equal).

Angle = 132

Step-by-step explanation:

Answer:

To find the volume of the shipping box in cubic feet, we need to convert the dimensions from inches to feet and then calculate the volume.

Given:

Length = 36 inches

Width = 24 inches

Height = 18 inches

Converting the dimensions to feet:

Length = 36 inches / 12 inches/foot = 3 feet

Width = 24 inches / 12 inches/foot = 2 feet

Height = 18 inches / 12 inches/foot = 1.5 feet

Now, we can calculate the volume of the box by multiplying the length, width, and height:

Volume = Length * Width * Height

Volume = 3 feet * 2 feet * 1.5 feet

Volume = 9 cubic feet

Therefore, the shipping box can hold 9 cubic feet.

Step-by-step explanation:

First convert the units because it's asking for the cubic feet but they give us the measurements in inches.

To convert inches to feet we divide the number by 12.

36 ÷  12 = 3

24 ÷  12 = 2

18 ÷ 12 = 1.5

Now to find the volume, we multiply it all together.

3 × 2 × 1.5 = 9

It can hold 9 cubic feet.

Hope this helped!

The area οf the actual bridge deck in square feet is 1,280 square feet.

Area refers tο the measurement οf the size οf a twο-dimensiοnal surface, usually measured in square units such as square inches, square feet, οr square meters. It represents the amοunt οf space that is inside the bοundary οf a flat οbject οr shape.

The scale οf the drawing is 40:1, which means that the dimensiοns οf the scaled bridge deck are 40 times smaller than the actual bridge deck. Tο find the area οf the actual bridge deck in square feet, we need tο cοnvert the dimensiοns οf the scaled bridge deck frοm inches tο feet and then multiply by the square οf the scale factοr (40² = 1600).

The dimensiοns οf the scaled bridge deck in feet are:

24 inches = 2 feet

4 and 4/5 inches = 0.4 feet

Sο, the area οf the scaled bridge deck in square feet is:

2 feet x 0.4 feet = 0.8 square feet

Tο find the area οf the actual bridge deck in square feet, we need tο multiply the area οf the scaled bridge deck by the square οf the scale factοr:

Area οf actual bridge deck = 0.8 square feet x (40²) = 1280 square feet

Therefοre, the area οf the actual bridge deck in square feet is 1,280 square feet.

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Answer:

Step-by-step explanation:

The scale factor indicates the actual bridge is 40 times larger than the drawing.

Increase the scale dimensions by the factor of 40.

24 times 40 = 960"

4.8 times 40 = 192" (I changed 4 4/5 to 4.8)

Area = length times width

960 times 192 = 184320 sq inches actual bridge deck in square inches

Divide 183320 by 144 (sq inches in a square foot) = 1280 sq feet

Answer:

5.4

Step-by-step explanation:

square of 29 = 5.385164807

5.385164807 estimated is 5.4

Step-by-step explanation:

[7 + (-2)] * (-3)

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

= -21 + 6

= -15. (C)

Answer:

C. -15

Step-by-step explanation:

Hope this helped have an amazing day!

Kevin's kick can be considered the best among the four.

To determine the most impressive kick, we can compare the distances and heights achieved by each player.

Andre's kick reached a maximum height of 17 yards and landed 48 yards away from the goal.

Juana's kick followed the path y = -x + 14 - 24, where y represents the height of the ball in yards and x represents the horizontal distance from the goal line. From the graph, we can estimate that her kick landed about 38 yards from the goal and reached a maximum height of 14 yards.

Kevin's kick is shown in the graph, indicating that it landed approximately 19 yards from the goal and had a peak height of 20 yards.

Emiko's kick reached a maximum height of 18 yards and landed approximately 20 yards from the goal.

Considering these measurements, Kevin's kick stands out. It traveled the farthest, landing closest to the goal line, and it achieved the highest height, reaching 20 yards. Consequently, Kevin's kick can be considered the best among the four.

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Answer:

1. -5a

Step-by-step explanation:

The definition of combining like terms is adding their coefficients, for example: 2x + 3x = (2+3)x = 5x.

So for this one, -21a+16a = (-21+16)a = -5a.

Answer:

\( \large \sf \blue{Find \: the \: H.C.F \: of : }\)

\( \sf \purple{➪ \: 84 \: and \: 156}\)

The substitution property and the angle addition postulate indicates that m∠1 + m∠2 = m∠3 + m∠4, m∠EXG = m∠1 + m∠2, and m∠HYK = m∠3 + m∠4, therefore;

m∠EXG = m∠HYK

The measure of an angle is the circular distance between the two rays of the angle measured in degrees or radians.

The specified information are;

m∠1 = m∠3

m∠2 = m∠4

Required;

Prove that m∠EXG = m∠HYK

The two column method to prove m∠EXG = m∠HYK, can be presented as follows;

   Statement \({}\)                               Reasons

1.  \({}\) m∠1 = m∠3   \({}\)                         Given

m∠2 = m∠4

2. m∠EXG = m∠1 + m∠2 \({}\)           Angle addition postulate

m∠HYK = m∠3 + m∠4

3. m∠1 + m∠2 = m∠3 + m∠4 \({}\)    Substitution property of equality

4. m∠EXG = m∠HYK \({}\)                Substitution property

The details of the reasons used to prove m∠EXG = m∠HYK are as follows;

Angle addition postulate

The angle addition postulate states that an angle formed by two adjacent angles that share a common ray is the sum of the measures of the two angles.

Substitution property

The substitution property of equality states that if a = b then b can be substituted for a in any expression or equation and the expression or equation will remain the same or valid.

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The radius of the gear should be approximately 2.8644 inches.It is important to note that when making calculations involving units, we need to make sure that all units are consistent and convert them when necessary. In this case, we converted the answer from feet to inches to match the given unit.

To find the radius of the gear that will pull a chain at 60 ft/min when rotating at 40 rev/min, we can use the formula:

chain speed = 2 x pi x radius x rotational speed

where pi is a mathematical constant approximately equal to 3.14.

We know that the chain speed is 60 ft/min and the rotational speed is 40 rev/min, so we can substitute those values into the formula:

60 = 2 x 3.14 x radius x 40

Simplifying the equation, we get:

radius = 60 / (2 x 3.14 x 40)

radius = 0.2387 ft

To convert feet to inches, we can multiply the answer by 12:

radius = 0.2387 x 12 = 2.8644 inches.

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A log function is a way to find how much a number must be raised in order to get the desired number. The value of the final expression is -36.

A log function is a way to find how much a number must be raised in order to get the desired number.

a^c =b

can be written as

\(\rm{log_ab=c\)

where a is the base to which the power is to be raised,

b is the desired number that we want when power is to be raised,

c is the power that must be raised to a to get b.

The logarithmic question can be solved as shown below,

log a =5

a = 10⁵

log b = -6

b= 10⁻⁶

log c = -4

c = 10⁻⁴

Now, the value of \(\rm log\dfrac{\sqrt{bc^5}}{a^2}\) can be written as,

\(\rm log\dfrac{\sqrt{bc^5}}{a^2} = -36\)

Hence, the value of the final expression is -36.

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Answer:

nei prossimi giorni, che si è svolto il convegno

The correct answer is A: 600 <= money <= 2822.4.

This represents the range of possible values that Pankaj's accumulated money could fall into, given the specified conditions of the 3% interest rate compounded weekly for a maximum of 2 years. The lower bound, 600, represents the initial deposit amount, while the upper bound, 2822.4, represents the maximum amount of money Pankaj could earn after 2 years, assuming that interest is compounded every week.