Write and solve a real world problem that can be represented by the
expression -3(5) + 25.

Answer: He can buy 14 base balls and 7 bats.

Step-by-step explanation: multiply 20 by 14 to get 280, then multiply 35 by 7 to get 255. Add.

The correct answers are: c) vomiting and d) weight loss. Gastroesophageal reflux can cause frequent vomiting, which can lead to weight loss in infants.

A nurse caring for an infant with gastroesophageal reflux may observe the following findings associated with this condition:
b) wheezing
c) vomiting
d) weight loss

Infants and children diagnosed with gastroesophageal reflux should not sit or lie down immediately after a meal; patients will be advised to lie face down for at least the first hour after a meal; Sleeping in this position has been shown to reduce the frequency of gastroesophageal reflux. Expressed milk can be thickened as described, in addition to increasing the frequency of feedings; in addition, early teaching (at three (3) months) to eat rice can be attempted; small meals are also recommended; oily and spicy. foods that promote postprandial reflux by increasing gastric emptying and slowing digestion; Chocolate, mint, tomato, citrus fruits, and caffeine should be avoided, which lowers LES pressure.

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A relationship might exist in a sample even though it does not exist in the population, because of b) Sampling error

In statistical analysis, a relationship might appear in a sample even though it does not exist in the population due to sampling error. This occurs when the sample is not fully representative of the population, leading to discrepancies between the sample statistics and the true population parameters.

Sampling error can cause random fluctuations that mistakenly suggest a relationship, which may not be present in the larger population. It is important to consider the limitations and potential sources of error when generalizing findings from a sample to the broader population. So b option is correct.

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Answer: \(y=2x+2\)

Step-by-step explanation:

\(2x+4y=8\\\\x+2y=4\\\\2y=-x+4\\\\y=-\frac{1}{2}x+2\)

So, the slope of the given line is -1/2, meaning the slope of the line we want to find is 2.

Since the y-intercept is the given line is (0,2), the equation is \(y=2x+2\)

Angles can be measured using one of two standard units. Degrees are the most widely used unit of measurement.

∠ABD = 39°

Therefore, the correct option is c) 39°

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Answer:

1/6

Step-by-step explanation:

Answer:

-2xy+3x

Step-by-step explanation:

xy + 4x – 3xy – x: You need to collect like terms

-2xy+4x-x

-2xy+3x

Your final awnser would be -2xy+3x

Answer:

No, because for each input there is not exactly one output

Step-by-step explanation:

Each input, x-coordinate, must have one and only one output (y-coordinate) to be a function.

Since 3/4 is used as an x-coordinate twice, the input 3/4 has two different outputs, -2 and -1/2. That means this relation is not a function.

Answer: No, because for each input there is not exactly one output

Answer: is A

Step-by-step explanation:

If a rectangle has a perimeter of 48 in. the length and width are scaled by a factor of 2.5, the perimeter of the resulting rectangle is 225 inches.

Here, we have,

Let L be the length of the original rectangle and W be the width.

Then, the perimeter of the original rectangle is P = 2L + 2W = 48 inches.

If we scale the length and width by a factor of 2.5, we get a new length of 2.5L and a new width of 2.5W. The perimeter of the new rectangle would be:

P' = 2(2.5L) + 2(2.5W)

= 5L + 5W

To find the new perimeter, we need to find the new values of L and W. Since the length and width are scaled by the same factor, we can write:

2.5L = kL

2.5W = kW

where k is the scaling factor.

Since the new rectangle is scaled by a factor of 2.5, k = 2.5.

Therefore:

L' = 2.5L = 2.5(12) = 30 inches

W' = 2.5W = 2.5(6) = 15 inches

The new perimeter is:

P' = 5L' + 5W'

= 5(30) + 5(15)

= 225 inches

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The value of the time premium is $100.

According to the statement

we have to find the time premium from the given information.

So, For this purpose, the given information is:

a strike price of $25 when the option price is $2 and the underlying common stock sells for $24

And

Time premium is the amount by which an option price exceeds its intrinsic value. The value of an option beyond its current exercise value representing the option holder's control until expiration, the risk of the underlying asset, and the risk less return.

So, From the given information and the formula

The value of the time premium is $100.

So, The value of the time premium is $100.

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Answer:

2/5 < 0.42 < 43% < 3/7

Step-by-step explanation:

Let's convert them all to decimals:

43% = 0.43

2/5 = 0.4

3/7 = 0.428571...

0.42 = 0.42

Now we can arrange them in ascending order:

0.4

0.42

0.43

0.428571...

Answer:

12/6 simplified to lowest terms is 2/1.

Step-by-step explanation:

Divide both the numerator and denominator by the HCF

12 ÷ 6

6 ÷ 6

Reduced fraction:

12/6 simplified to lowest terms is 2/1.

Answer: 2:1

Step-by-step explanation:

12:6

Both left and right can be divided by 6, like a fraction, reduce.

= 2:1

To calculate the energy of the resulting explosion when a 10,000 kg UFO made of antimatter crashes with a 40,000 kg plane made of matter, we can use Einstein's famous equation, E=mc², which relates energy (E) to mass (m) and the speed of light (c).

In this case, we'll need to calculate the total mass of matter and antimatter involved in the collision and then use the equation to find the energy released. The equation E=mc² states that energy is equal to the mass multiplied by the square of the speed of light (c). In this scenario, we have a collision between a UFO made of antimatter and a plane made of matter. Antimatter and matter annihilate each other when they come into contact, resulting in a release of energy.

To calculate the energy of the resulting explosion, we need to determine the total mass involved in the collision. The total mass can be calculated by adding the masses of the UFO and the plane together. In this case, the UFO has a mass of 10,000 kg and the plane has a mass of 40,000 kg, so the total mass is 50,000 kg.

Next, we can use the equation E=mc² to calculate the energy. The speed of light (c) is a constant value, approximately 3 x 10^8 meters per second. Plugging in the values, we have E = (50,000 kg) x (3 x 10^8 m/s)². Simplifying the equation, we have E = 50,000 kg x 9 x 10^16 m²/s².Multiplying the numbers, we get E = 4.5 x 10^21 joules. Therefore, the energy of the resulting explosion when the UFO and plane collide is approximately 4.5 x 10^21 joules.

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The coordinates of points C are (4,1).

The coordinates of the points D are (3, 2) respectively.

y = mx + c. Conversely,is the formula of coordinate that help to find  satisfy to the equation y = mx + c is always lie on the line with the gradient m and y-intercept of c.

If the point C is divides AB in the ratio 2:3, then the coordinates of C are;

Xc=2(1)+3(6)/2+3

Xc=2+18/5

Xc=20/5 = 4

Yc=2(4)+3(-1)/2+3

Yc=8-3/5

Yc=5/5 = 1

The coordinates of points C are (4,1).

If the point D divides the  AC in the ratio 3:2, then the coordinates of D are-

Xc= 3(1)+2(6)/3+2

Xc=3+12/5

Xc=15/5 = 3

Yc=3(4)+2(-1)/3+2

Yc=12-2/5

Yc=10/5=2

The coordinates of the point D are (3, 2).

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a. The composite scores for each location are as follows: Location A: 84.34, Location B: 81.05, Location C: 82.63 (b)  Based on the composite scores, Location A should be chosen for the clothing store.

To determine the composite score for each location, we need to calculate the weighted sum of the factor ratings.

a. The composite score for each location is calculated as follows:

Location A:

Composite score = (Convenience of access * Weight) + (Parking facility * Weight) + (Frontage * Weight) + (Shopper traffic * Weight) + (Operating cost * Weight) + (Neighbourhood * Weight)

Composite score = (0.10 * 92) + (0.15 * 91) + (0.19 * 96) + (0.31 * 79) + (0.10 * 70) + (0.15 * 69)

Composite score = 84.34

Location B:

Composite score = (0.10 * 70) + (0.15 * 73) + (0.19 * 89) + (0.31 * 95) + (0.10 * 95) + (0.15 * 81)

Composite score = 81.05

Location C:

Composite score = (0.10 * 72) + (0.15 * 75) + (0.19 * 74) + (0.31 * 80) + (0.10 * 92) + (0.15 * 96)

Composite score = 82.63

b. Based on the composite scores, we can see that Location A has the highest score of 84.34, followed by Location C with a score of 82.63, and Location B with a score of 81.05. Therefore, Location A should be chosen for the clothing store.

After calculating the composite scores for each location based on the factor ratings and weights, it is determined that Location A has the highest composite score and should be chosen for the clothing store.

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The water in the aquarium tank will rise by 0.05 cm when the brick is placed in the bottom of the tank.

The volume of the brick is calculated as 40 cm x 20 cm x 10 cm = 8000 cm^3. Since the brick is submerged in the water, the amount of water displaced by the brick is equal to the volume of the brick. Therefore, the water level will rise by the same amount as the volume of the brick, which is \(8000 cm^3\).

To calculate the rise in water level, we need to divide the volume of the brick by the area of the rectangular base of the tank. The area of the rectangular base is calculated as 100 cm x 400 cm = \(40000 cm^2\). Dividing the volume of the brick (\(8000 cm^3\)) by the area of the rectangular base \(40000 cm^2\) gives us 0.2 cm. However, the brick is not placed at the bottom of the tank, but rather at a height of 40 cm. Therefore, we need to divide the calculated value by the height of the tank, which is 40 cm. This gives us a final result of 0.2 cm / 40 cm = 0.05 cm, which is the rise in water level when the brick is placed in the bottom of the tank.

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Answer: 121°

Step-by-step explanation:

The measure of angle B will be \(121^0\) .

Angle is formed by two rays lie in the plane that contains the rays.

We have,

\(m \angle A =(6x-19)^0\)

Now,

Linear pair angles are those angles whose sum is \(180^0\) .

i.e.

\(m \angle A + m \angle B=180^0\)

So,

\((6x-19)^0 +(11x-22)^0 =180^0\)

Now,

\(17x-41=180\)

\(17x=221\)

\(x=13\)

So,

\(m\angle B=(11x-22)^0\)

Putting value of x;

\(m\angle B=(11*13-22)^0\)

\(m\angle B=(121)^0\)

So, measure of angle B is \(121^0\).

Hence, we can say that the measure of angle B will be \(121^0\) .

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Answer:

4,300

Step-by-step explanation:

The process of finding the derivative of a function is called differentiation.

Differentiation is a fundamental concept in calculus that involves determining the rate at which a function changes with respect to its independent variable. It allows us to analyze the behavior of functions, such as finding slopes of curves, identifying critical points, and understanding the shape of graphs.

The derivative of a function represents the instantaneous rate of change of the function at any given point. It provides information about the slope of the tangent line to the graph of the function at a specific point.

The notation used to represent the derivative of a function f(x) with respect to x is f'(x) or dy/dx. The derivative can be interpreted as the limit of the difference quotient as the interval approaches zero, representing the infinitesimal change in the function.

By applying differentiation techniques, such as the power rule, product rule, chain rule, and others, we can find the derivative of a wide range of functions. Differentiation is a powerful tool used in various areas of mathematics, physics, engineering, economics, and other fields to analyze and solve problems involving rates of change.

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The numeric value of ms within is = 19.

To find the numeric value of ms within:

Given: Swithin = 70, sample size = 17 and number of groups = 3.

So, 17 × 3 = 51

70 - 51 = 19

Therefore, the numeric value of ms within is = 19.

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A rational equation with a vertical asymptote at x=2 and a hole at x=-1 can be represented by the equation y = (x+1)/(\(x^{2}\)-3x-2).

To create a rational equation with a vertical asymptote at x=2 and a hole at x=-1, we need to construct a fraction that has a denominator that becomes zero at x=2 and x=-1. The vertical asymptote occurs when the denominator of the fraction equals zero but the numerator doesn't. A hole occurs when both the numerator and denominator become zero at a certain x-value, but they can be factored out.

In this case, we can start by factoring the denominator of the rational equation. The quadratic equation \(x^{2}\)-3x-2 can be factored as (x-2)(x+1). We want the denominator to equal zero at x=2, so we include the factor (x-2) in the denominator. However, we want to remove the common factor (x+1) from both the numerator and denominator to create the hole at x=-1. By canceling out the common factor, we get the final rational equation: y = (x+1)/(\(x^{2}\)-3x-2).

This equation satisfies the given conditions: x=2 is a vertical asymptote because the denominator becomes zero at x=2, and x=-1 is a hole because both the numerator and denominator become zero at x=-1 but can be canceled out.

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Answer:

1•4

Step-by-step explanation:

1•54÷1•1

1•54

1•1

divide by 10 both side with can move decimal

15•4

11

=my answer is 1•4.

Answer:

The correct answer for algebraic expression 1.54÷1.1 is = 1.4.

Step-by-step explanation:

this is question based on simple algebra -

Simple Algebraic equations -  An algebraic equation can be defined as a mathematical statement in which two expressions are set equal to each other. The algebraic equation usually consists of a variable, coefficients and constants. we can apply many operations on algebraic equations like addition, subtraction, multiplication, division and raising to a power, and extraction of a root.

these equations are two algebraic expressions that are joined together using an equal to ( = ) sign. An algebraic equation is also known as a polynomial equation because both sides of the equal sign contain polynomials

so in the question algebraic operation used to solve is simple division.

therefore here in question we have to divide 1.54 with 1.1,

using the concept written above,

let the value of division be 'x'

we can write 1.54/1.1 = x

by dividing and multiplying the equation by 100 to remove the decimals.

            (1•54/ 1•1)×100/100    = x

                    154/110    =  x

now by simple division,

                      1.4   =  x  answer

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Answer:The solution is in the attached file

Step-by-step explanation:

The value of a is given by the third root of the function.

The function for this problem is defined as follows:

f(x) = x(x - 2)(x - a).

According to the Factor Theorem, the function is defined as a product of it's linear factors, hence the roots of the function are given as follows:

Hence the value of a is the third root of the function, which is the value on the graph at which the function crosses the x-axis along with x = 0 and x = 2.

The problem is incomplete, hence the general procedure to obtain the value of a is presented.

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If we are rolling a six-sided dice, where. a = get a roll that is even, then the value of \($P\left(A^c\right)^$\)  will be 1/2

Option (c) is the correct choice.

As we know,

A dice has 6 faces on which 6 different numbers (1,2,3,4,5 and 6) are printed on each of the six faces of the dice.

Now, considering an unbiased die the probability of any of the faces appearing in a single roll is 1/6.

So, we can write it as:

P(1)=P(2)=P(3)=P(4)=P(5)=P(6)=1/6

Now that number to be even is 2,4,6

And for each individual number, the probability will be 1/6

So, the value of P(A) =P(2) + P(4)+ P(6)

= 1/6 + 1/6 +1/6 =3/6

P(Ac) = 1 - P(A) = 1 - ( 3/6 ) = 1/2.

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The complete question may be:

Suppose that you are rolling a six sided dice.

Let A= get a roll that is even

What is \($P\left(A^c\right)^$\) ?

(a) 1 / 3

(b) 1 / 4

(c) 1 / 2

(d) 1 / 6

A congruent polygon refers to two or more polygons that have the same shape and size. There must be an equal number of sides between two polygons for them to be congruent.

Congruent polygons have parallel sides of equal length and parallel angles of similar magnitude. When two polygons are congruent, they can be superimposed on one another using translations, rotations, and reflections without affecting their appearance or dimensions. Concluding about the matching sides, shapes, angles, and other geometric properties of congruent polygons allows us to draw conclusions about them.

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The value where the histogram balances when supported at that point is called the mode of the distribution.

The mode of distribution is the value that appears most frequently in the data set. It is often used as a measure of central tendency, along with the mean and median. The mode is especially useful when dealing with categorical or discrete data, where the possible values are limited and well-defined.

For example, the mode of a list of test scores might be the score that occurs most frequently, indicating the most common level of performance. In a histogram, the mode is the value where the distribution is highest, or where the histogram balances when supported at that point.

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The board of directors for Procter and Gamble is concerned that only

19% of the people who use toothpaste buy Crest toothpaste. A marketing

director suggests that the company invest in a new marketing campaign

which will include advertisements and new labeling for the toothpaste.

The research department conducts product trials in test markets for one

month to determine if the market share increases with new labels.

PROCTOR and GAMBLE had only 19% of the people who use toothpaste

buy Crest toothpaste. Hence, it was worried about the market share of

the toothpaste it had been producing. The marketing director suggested

that the company invest in a new marketing campaign which will include

advertisements and new labeling for the toothpaste. The research

department conducted product trials in test markets for one month to

determine if the market share increases with new labels. This is an

effective approach because new labels attract customers easily. By

changing or improving the way that a product is labeled or packaged,

companies can influence the likelihood of a purchase by making the

product look more appealing or professional. Therefore, after changing

the labeling, the market share of Crest Toothpaste will increase.

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Answer:

2 )Sin X=36÷45

Step-by-step explanation: