when ramona went out with her 3 sisters,they spent $58 plus tax on there meal . they also left a 15% tip.if they divided up the bill evenly ,how much did each of them spend?

The disjunction of -p or -q can be written as (-p) v (-q). So, we have to find the truth value of (-p) v (-q). So, the compound statement for the disjunction of -p or -q is (-p) v (-q), and its truth value is true.

using the following statements: p: There are 14 inches in 1 foot.

q: There are 3 feet in 1 yard.

Solution: We know that 1 foot = 12 inches, which means that there are 14 inches in 1 foot can be written as 14 < 12. But this statement is false because 14 is not less than 12. Therefore, the negation of this statement is true, which gives us (-p) as true.

Now, we know that 1 yard = 3 feet, which means that there are 3 feet in 1 yard can be written as 3 > 1. This statement is true because 3 is greater than 1. Therefore, the negation of this statement is false, which gives us (-q) as false.

Now, we can use the values of (-p) and (-q) to find the truth value of (-p) v (-q) using the disjunction rule. The truth value of (-p) v (-q) is true if either (-p) or (-q) is true or both (-p) and (-q) are true. Since (-p) is true and (-q) is false, the disjunction of (-p) v (-q) is true. Hence, the compound statement for the disjunction of -p or -q is (-p) v (-q), and its truth value is true.

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18. An infant weighs 11 pounds which is equivalent to 4.98 kg. Using the 100/50/20 Rule, the required amount of fluid per day for an infant between 11-20 kg is 50 ml/kg/day. So, the required amount of fluid per day in ml is 4.98 kg x 50 ml/kg/day = 249 ml/day.

19. A child weighs 31lbs and 8 ozs which is equivalent to 14.21 kg. Using the 100/50/24 Rule, the required amount of fluid per day for a child over 20 kg is 20 ml/kg/day. So, the required amount of fluid per day in ml is 14.21 kg x 20 ml/kg/day = 284.2 ml/day.

If no oral fluids are consumed, the hourly IV flow rate to maintain proper hydration would be: 284.2 ml/day / 24 hours/day = 11.8 ml/hour.

The question is about fluid requirements for infants and children, and it is using the 100/50/20 Rule for Daily Fluid Requirements (DFR) to calculate the required amount of fluid per day for different weight ranges. The 100/50/20 Rule is a guideline used to determine the appropriate amount of fluid that infants and children should receive on a daily basis based on their weight. The rule states that for infants and children up to 10 kg, the recommended fluid intake is 100 ml/kg/day, for those between 11-20 kg it is 50 ml/kg/day, and for those over 20 kg it is 20 ml/kg/day.

The question also asking about the hourly IV flow rate to maintain proper hydration if no oral fluids are consumed.

This subject is part of pediatrics, more specifically in the field of fluid and electrolyte balance and management.

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Answer:

A or c

Step-by-step explanation:

a. The measure of the angle is 72 degrees. b. The measure of the third angle in a triangle where two angles are complementary is 90 degrees.

a. Let's assume the measure of the angle is x degrees. The complement of the angle is 90 - x degrees. According to the information given, the measure of the angle is 4 times that of its complement, so we can write the equation x = 4(90 - x).

Simplifying the equation, we have x = 360 - 4x.

Combining like terms, we get 5x = 360.

Dividing both sides of the equation by 5, we find that x = 72.

b. In a triangle, the sum of all three angles is always 180 degrees. If two angles are complementary, their sum is 90 degrees. So, the measure of the third angle is 180 - 90 = 90 degrees.

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There are two real number solutions for x2 − 5x + 7 = 0: x = 2 and x = 7.

1. x2 − 5x + 7 = 0

2. (x - 2)(x - 7) = 0

3. x = 2 or x = 7

When solving for the real number solutions of x2 − 5x + 7 = 0, we first need to factor the equation into two linear terms: (x - 2)(x - 7) = 0. From here, we can use the Zero Product Property to determine that x = 2 and x = 7 are the two real number solutions of this equation. This means that when x is equal to 2 or 7, the equation will equal 0 and all other values of x will result in a non-zero answer. Therefore, the only two real number solutions of x2 − 5x + 7 = 0 are x = 2 and x = 7.

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(1) The derivative \(\(R'(t)\)\) of the given curve \(\(R(t)\)\) is obtained as 3i + 4tj + 9t^2k.

(2) The second derivative \(\(R''(t)\)\) of the curve \(\(R(t)\)\) is found to be 4j + 18tk.

(3) The curvature \(\(\kappa\)\) of the curve is given by the expression \(\(\frac{{|(72t - 36t^2)j - (72t^2 - 16)k|}}{{(9t^4 + 16t^2 + 9)^3}}\)\).

To find the derivative R'(t) of the curve R(t) = 3ti + 2t^2j + 3t^3k, we differentiate each component of the curve with respect to t:

(1) Find R'(t):

\(\[ R'(t) = \frac{{dR(t)}}{{dt}} = 3\mathbf{i} + 4t\mathbf{j} + 9t^2\mathbf{k} \]\)

(2) Find R''(t):

\(\[ R''(t) = \frac{{d^2R(t)}}{{dt^2}} = 0\mathbf{i} + 4\mathbf{j} + 18t\mathbf{k} \]\)

(3) Find the curvature κ:

\(\[ \kappa = \frac{{|\mathbf{R'(t)} \times \mathbf{R''(t)}|}}{{|\mathbf{R'(t)}|^3}} \]\)

Substituting the values:

\(\[ \kappa = \frac{{|(72t - 36t^2)\mathbf{j} - (72t^2 - 16)\mathbf{k}|}}{{(9t^4 + 16t^2 + 9)^3}} \]\)

The final expression for the curvature κ depends on the value of t and can be further simplified if needed.

In conclusion, the final answers will be:

(1) The derivative \(\(R'(t)\)\) of the given curve \(\(R(t)\)\) is obtained as 3i + 4tj + 9t^2k.

(2) The second derivative \(\(R''(t)\)\) of the curve \(\(R(t)\)\) is found to be 4j + 18tk.

(3) The curvature \(\(\kappa\)\) of the curve is given by the expression \(\(\frac{{|(72t - 36t^2)j - (72t^2 - 16)k|}}{{(9t^4 + 16t^2 + 9)^3}}\)\).

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r = 88.5

y = 3/4

Step-by-step explanation:

From the lower triangle,

97 - 2x = 4x -2

Collecting all similar terms, we get

6x = 99 or x = 16.5

From the upper triangle, we can see that

5x + 6 = r ---> 5(16.5) + 6 = r or r = 88.5

Since the sum of all the interior angles of a triangle is equal to 180, we can write

4y + (5x + 6) + r = 180 ---> 4y + 5(16.5) + 6 + 88.5 = 180

4y = 3 or y = 3/4

Answer: D:120

Step-by-step explanation: since the angle goes from

180/360 to 300/360 we will have to do 300-180 which gives us 120

(a) The number of solutions is 455

(b) The number of solutions if each variable xi is an integer greater than or equal to one is 165

(a) This problem can be solved using the stars and bars technique. We need to distribute 12 identical objects (stars) among 4 distinct boxes (corresponding to the variables) such that each box can have zero or more stars. The number of solutions is therefore (12+4-1) choose (4-1) = 455.

(b) We can convert this problem into the previous one by subtracting 1 from each xi, so that we are now looking for non-negative integers. We need to distribute 8 identical objects (12-4) among 4 distinct boxes (corresponding to the variables) such that each box can have zero or more objects. The number of solutions is therefore (8+4-1) choose (4-1) = 165.

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Your question is incomplete but probably the full question is:

How many solutions are there to the equation x1+x2+x3+x4=12 if:

(a) Each variable xi is an integer greater than or equal to zero?

(b) Each variable xi is an integer greater than or equal to one?

The probability of winning the game with at least one Ace among the four draws is 0.736.

The probability of winning in this game is calculated as,

There are 4 Aces in a standard deck of 52 cards, so the probability of drawing an Ace on one draw is 4/52.

The probability of not drawing an Ace in 4 draws is (48/52) * (47/51) * (46/50) * (45/49) = 0.264.

The probability of winning is the complement of not winning, which is 1 - 0.264 = 0.736.

So, the probability of winning the game with at least one Ace among the four draws is 0.736.

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Answer: y=5/4x+5 is the equation in slope-intercept form.

There is not enough evidence to suggest that the increased lighting time significantly increased egg production in the hen house.

To determine if increasing the amount of time the lights were on in the hen house increases egg production, the egg farmer conducted a hypothesis test. The null hypothesis was that there was no significant difference in egg production before and after the increased lighting time, while the alternative hypothesis was that there was a significant increase.

The sample mean for egg production before the increased lighting time was 5.125, and the sample mean after was 6.75.

The sample standard deviation of the difference was 3.962. Using a two-tailed t-test at the 5% significance level, the calculated t-value was 2.15, and the corresponding p-value was 0.064. Since the p-value is greater than the significance level, we fail to reject the null hypothesis.

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Answer:

p/2-l

Step-by-step explanation:

Ans in attachment

hope it helps ;)

plz mark as brainliest

The probability that a single randomly selected value from a population with a normal distribution, where the mean (μ) is 189.2 and the standard deviation (σ) is 83.2, falls between 195.2 and 214.1 is approximately 0.1632.

To find the probability, we can standardize the values using the z-score formula: z = (x - μ) / σ, where x is the given value, μ is the mean, and σ is the standard deviation.

For 195.2:

z1 = (195.2 - 189.2) / 83.2 = 0.0721

For 214.1:

z2 = (214.1 - 189.2) / 83.2 = 0.2983

Using a standard normal distribution table or a calculator, we can find the area under the curve between these z-scores, which represents the probability:

P(195.2 < x < 214.1) = P(0.0721 < z < 0.2983) ≈ 0.1632

Therefore, the probability that a single randomly selected value falls between 195.2 and 214.1 is approximately 0.1632.

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Complete question is in the image attached below

The solution of the system of equations 4x+2y = 58 and x+4y = 46 is x = 10 and y = 9

The system of equations

4x+2y = 58

x+4y = 46

To solve this equation we have to use the substitution method

Consider the second equation

x+4y = 46

x = 46-4y

Substitute this value of x in the first equation

4x+2y = 58

4(46-4y) +2y = 58

184 - 16y +2y = 58

-16y +2y = 58-184

-14y = -126

y = 9

Substitute the value of y in any equation and find the value of x

x = 46-4y

x = 46-4×9

x = 10

Hence, the solution of the system of equations 4x+2y = 58 and x+4y = 46 is x = 10 and y = 9

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The volume of the pyramid is approximately 5.9 cm³.

To find the volume of a pyramid with a square base, you can use the formula:

Volume = (1/3) * base area * height

First, let's find the area of the square base. The perimeter of the base is given as 5.7 cm, which means each side of the square has a length of 5.7 cm / 4 = 1.425 cm.

The area of a square is given by the formula:

Area = side length * side length

Substituting the side length, we have:

Area = 1.425 cm * 1.425 cm = 2.030625 cm²

Now, we can calculate the volume of the pyramid:

Volume = (1/3) * base area * height

= (1/3) * 2.030625 cm² * 8.6 cm

= 5.91834375 cm³

Rounding to the nearest tenth of a cubic centimeter, the volume of the pyramid is approximately 5.9 cm³.

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Answer:

Y= 4   and    X=2

Step-by-step explanation:

When you are trying to find the X or Y value for an equation, set the opposite value to zero. That means that if you are trying to find Y in 6x+3y=12, you would make the X zero. Since six is being multiplied by X and X now equals zero, your equation for finding the Y value is now 3y=12. Divide them both by three and you get Y=4. In order to find your X value you would do the same thing. Since you are trying to find X, set the Y value to zero. That makes your equation for finding the X value 6x=12. That is because, again, you set Y to zero, and three times zero is zero. 6x=12 equals X=2 because you divide both sides by 6.

Answer:4y    2x    i need only one brainlist to upgrade my level pls

Ste-by-step explanation:

An interest rate of approximately 5.45% compounded annually.

To determine the interest rate required to triple your money in 17 years, we can use the compound interest formula:

Future Value (FV) = Present Value (PV) * (1 + r)^n

Where:

FV = $1506 * 3 (tripling the money)

PV = $1506

r = interest rate

n = number of years = 17

We can rearrange the formula to solve for the interest rate (r):

r = (FV / PV)^(1/n) - 1

Plugging in the values:

r= (3 / $1506)^(1/17) - 1

Calculating this expression, we find:

r ≈ 0.0545

Therefore, you would need to earn an interest rate of approximately 5.45% compounded annually to triple your money in 17 years.

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The income elasticity of demand is positive, implying that chocolate is a normal good = 0.037

The demand function, Q = 54−5P + 4PA + 0.1Y.

Where Q is the quantity of chocolate demanded, P is the price of chocolate, PA is the price of an apple, and Y is income.

(i) The own-price elasticity of demand for chocolate, we first need to find the expression for it.

The own-price elasticity of demand can be expressed as:

Own-price elasticity of demand = (Percentage change in quantity demanded) / (Percentage change in price)Or,E

P = (ΔQ / Q) / (ΔP / P)E P = dQ / dP * P / Q

Let's calculate the own-price elasticity of demand:

EP= dQ / dP * P / Q= (-5) / (54 - 5P + 4PA + 0.1Y) * 3 / 30

= -0.1667

So, the own-price elasticity of demand for chocolate is -0.1667.

(ii) The cross-price elasticity of demand, we must first determine the expression for it.

The cross-price elasticity of demand can be expressed as:

Cross-price elasticity of demand

= (Percentage change in quantity demanded of chocolate) / (Percentage change in price of apples) Or, E

PA = (ΔQ / Q) / (ΔPA / PA)E PA = dQ / dPA * PA / Q

Let's calculate the cross-price elasticity of demand:

EP = dQ / dPA * PA / Q= (4) / (54 - 5P + 4PA + 0.1Y) * 2 / 30= 0.0296

So, the cross-price elasticity of demand is 0.0296.

(iii) The income elasticity of demand can be expressed as:

Income elasticity of demand = (Percentage change in quantity demanded) / (Percentage change in income)Or,E

Y = (ΔQ / Q) / (ΔY / Y)E Y = dQ / dY * Y / Q

Let's calculate the income elasticity of demand: EY = dQ / dY * Y / Q= (0.1) / (54 - 5P + 4PA + 0.1Y) * 100 / 30

= 0.037

The own-price elasticity of demand is negative, meaning that the quantity demanded of chocolate decreases when the price of chocolate increases.

The cross-price elasticity of demand is positive, indicating that chocolate and apples are substitute goods.

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Answer:

The correct option is C

Step-by-step explanation:

The given graph displays the distance travelled to the time taken for the distance covered

Whereby Tamara walks at a constant speed and runs at a constant speed, we have,

The rate of increase of the distance covered to time taken will be constant ant there will be a directly proportional relationship between her distance covered to the time she takes to cover the distance, which can be represented by a straight line

The slope for the the period she runs is shown by a steeper sloped straight line followed by a straight line with a gentler slope for the time she walks

The point of intersection of the two straight lines is nearer to the top (higher distance value, because she covered more distance running than walking, given the time she took running is equal to the time she took to walk.

Answer:

No

Step-by-step explanation:

Does anyone have to do DELTA-MATH

Answer: Can you send the question that you have.

Step-by-step explanation:

The function y = -2x² + 20x - 44 can be written in vertex form as y = -2(x - 5)² + 6. The vertex of this function is (5, 6).

To write the function in vertex form, we need to complete the square. First, we factor out the coefficient of x², which is -2: y = -2(x² - 10x + 22). To complete the square, we need to add and subtract the square of half the coefficient of x, which is (10/2)² = 25:

y = -2(x² - 10x + 25 - 25 + 22)

y = -2((x - 5)² - 3)

y = -2(x - 5)² + 6

Now we have the function in vertex form, where the vertex is (5, 6). The negative coefficient of the x² term tells us that the parabola opens downwards. The vertex is the lowest point on the graph, so we can see that the minimum value of the function is y = 6.

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a)  The value of x = (364 - 3m) / 5

b)  The measure of angle 1 is 360 - 3m.

a) To solve for x in the given problem, we need to apply the properties of angles in a polygon.

In a polygon with n sides, the sum of the interior angles is given by the formula: (n - 2) * 180 degrees.

In the given problem, AFHK is a quadrilateral, so it has 4 sides. Therefore, the sum of the interior angles is (4 - 2) * 180 = 2 * 180 = 360 degrees.

We know that the measure of angle A is 5x - 4. To find the value of x, we can set up an equation using the sum of the interior angles:

(5x - 4) + (m) + (m) + (m) = 360

Since we don't have information about the measures of angles F, H, and K, we can represent them with m.

Simplifying the equation, we get:

5x - 4 + 3m = 360

To solve for x, we need to isolate the variable. Subtracting 3m from both sides of the equation, we get:

5x - 4 = 360 - 3m

Next, adding 4 to both sides of the equation, we get:

5x = 364 - 3m

Finally, dividing both sides by 5, we obtain:

x = (364 - 3m) / 5

b) This is the solution for x in terms of m.

To find the measure of angle 1, we can substitute the value of x into the expression for angle 1, which is 5x - 4:

<1 = 5x - 4

Substituting the expression for x we obtained earlier, we get:

<1 = 5((364 - 3m) / 5) - 4

Simplifying, we have:

<1 = 364 - 3m - 4

<1 = 360 - 3m

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Answer:

Step-by-step explanation:

35+12*x ; where x = amount of months

Value of 158 Pounds is approximately 71.67 Kilograms. both are unit of measurement of weight.

To convert pounds (lbs) to kilograms (kg), you can use the conversion factor 1 lb = 0.45359237 kg. To convert 158 pounds to kilograms, you would multiply 158 by 0.45359237, which gives you 71.67 kilograms.

It is important to note that the pound and kilogram are both units of measurement for weight, but the pound is a unit commonly used in the United States, while the kilogram is the standard unit of measurement for weight in the International System of Units (SI).

When travelling or working with people from different parts of the world, it is important to be able to convert between these units of measurement to ensure accurate communication.

Additionally, it is important to have a good understanding of the difference between weight and mass, as weight is a measure of the force exerted on an object due to gravity, while mass is a measure of the amount of matter in an object, regardless of gravity.

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Answer:

54 π cubic centimeters

Step-by-step explanation:

Formula for the volume of a cylinder: πr²h

π×3²×6=

9×6×π=

54π cm³

3/13 would be the answer

\(\dfrac{6}{13}\) represents cutting something into 13 pieces and having 6 of those pieces.

\(\dfrac{9}{13}\) represents cutting something into 13 pieces and having 9 of those pieces.

Which of those is less?

Answer:

A single rotation accounts for the circumference of the mine winch drum:

from formula:

\(circumference = 2\pi r\)

r » radius.

but r = 2 × diameter.

therefore; radius, r = 2 × 6 = 12 m

\(c = 2 \times 3.14 \times 12 \\ { \underline{ \underline{ \: \: circumference = 75.36 \: m \: \: }}}\)

[ considering π to be 3.14 ]