When Ryan was born, he weighed 7 pounds.At 6 months, he weighed 11.2 pounds. Amanda weighed 6 pounds when she was born, and 12.9 pounds at 6 months. Which baby had a greater percent increase in weight? Explain.

Answer: The point (-2, 4) is on the circle (x - 5)^2 + (y + 3)^2 = 25.

Step-by-step explanation: The point (-2, 4) is on the circle (x - 5)^2 + (y + 3)^2 = 25. To check if a point is on the circle, we can substitute the point's x and y coordinates into the equation of the circle. If the equation is true, then the point is on the circle. In this case, substituting (-2, 4) into the equation of the circle.

When you make a plot of ln k versus 1/T, the Slope of the line is -Ea/R, where Ea is the activation energy of the reaction and R is the universal gas constant.

In the context of your question, ln k represents the natural logarithm of the rate constant (k), and 1/T represents the reciprocal of the absolute temperature (T) in Kelvin. When you make a plot of ln k versus 1/T, you are using the Arrhenius equation, which is given by:

k = A * exp(-Ea / (R * T))

Taking the natural logarithm of both sides, we get:

ln k = ln A - (Ea / R) * (1 / T)

This equation represents the equation of a straight line, y = mx + b, where y corresponds to ln k, x corresponds to 1/T, m (the slope) corresponds to -Ea/R, and b (the intercept) corresponds to ln A.

So, when you make a plot of ln k versus 1/T, the slope of the line is -Ea/R, where Ea is the activation energy of the reaction and R is the universal gas constant. This slope helps in determining the activation energy for the given reaction.

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Answer:

C

Step-by-step explanation:

A 1 2-liter bottle for $0.89

1 liter = .89 /2 = $0.445

B 3 1-liter bottles for $1.50

1 liter = $1.50/3 = $0.50

C 24 0.5-liter bottles for $5.25

1 liter = 5.25 / 12  = $0.4375

D 36 0.25-liter bottles for $4.75

1 liter = $4.75 / 9  = $0.53

Give me brainllest

Answer:

C is the best buy

Step-by-step explanation:

0.89/2 = 0.445

3 * 1 litre bottles = 3 litres

1.50/3 = 0.5

24 * 0.5 litres = 12 litres

5.25/12 = 0.4375

36 * 0.25 liters = 9 liters

4.75/9 = 0.52777777

Answer:

x = 4

Step-by-step explanation:

2x - 3(x - 2) = 2

distribute the -3

2x - 3x + 6 = 2

combine like terms

-x + 6 = 2

-x = -4

x = 4

Answer:

x=4

Step-by-step explanation:

2x-3(x-2)=2

Distributing

2x -3x+6 =2

Combine like terms

-x+6=2

Subtract 6 from each side

-x+6-6= 2-6

-x =-4

Divide by -1

x=4

Answer: V - 20

Step-by-step explanation: Hope this helps

The estimated volume of the given cuboid is 736 inch³

In geometry, a cuboid is a three-dimensional figure or geometrical shape that has 6 faces, 12 edges, and 8 vertices. The space occupied by the cuboid is known as the Volume of the cuboid.  

The dimensions of the cuboid are Length, Width, and Height. The formula for the volume of the cuboid is given by

Volume of cuboid = Length × Width × Height  

Here we have

Measurements cuboid are

Length = 22.8 inches  

On rounding to a whole number, Lenght = 23 inches

Width = 1.8 inches

On rounding to a whole number, Width = 2 inches

Height = 15.8 inches

On rounding to a whole number, height = 16 inches  

As we know

The volume of a cuboid = Length × Width × Height  

= 23 inch × 2 inch × 16 inch  

= 736 inch³

Therefore,

The estimated volume of the given cuboid is 736 inch³

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Answer:

Look at the image.

Step-by-step explanation:

Answer:

Not sure about the second one, but the first is x=44

Answer:

3.x=10tan[32]

Step-by-step explanation:

Using SOHCAHTOA

PICK TOA i.e

TanX=Opp/Adj

Capital X i.e the angle = 32°

tan32=x(small)/10

cross multiple

x=10tan32

x=10tan[32]

When y = 100, x is approximately equal to 0.04.

If y varies inversely as x^2 and y = 16 when x = 5, we can find the values of x and y when y = 100.

To solve this problem, we can use the inverse variation formula, which states that y = k/x^2, where k is the constant of variation.

Given that y = 16 when x = 5, we can substitute these values into the formula to find the value of k.

16 = k/(5^2)
16 = k/25

To find k, we can cross multiply:
16 * 25 = k
400 = k

Now that we know the value of k, we can use it to find the value of y when x = 100.

y = k/(100^2)
y = 400/(100^2)
y = 400/10000
y = 0.04

Therefore, when y = 100, x is approximately equal to 0.04.

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Answer: $83.94

Step-by-step explanation:

69.95 + 69.95(0.2) = 69.95(1 + 0.2) = 69.95(1.2) = 83.94

Answer:

The correct option is;

Dennis must have stopped for an hour in the middle of this trip

Step-by-step explanation:

The given parameters are;

The distance Dennis covered in 5 hours = 500 km

Dennis's average speed in the first two hours = 150 km/h

Dennis's average speed in the last two hours = 100 km/h

Therefore;

Dennis traveled 150 km/h × 2 h = 300 km in the first two hours

Dennis traveled 100 km/h × 2 h = 200 km in the last two hours

Which gives, Dennis traveled 300 km + 200 km in  2h + 2h = 4h

Therefore, Dennis traveled 500 km in 4 hours and Dennis must have stopped for an hour in the middle of this trip.

The mathematical procedure for decomposing a complex waveform into simpler waveforms is known as Fourier analysis. It allows for the identification of the individual frequency components that contribute to the overall pattern.

Fourier analysis, named after the French mathematician Jean-Baptiste Joseph Fourier, is a fundamental technique used in many fields, including signal processing, physics, and engineering. It is based on the concept that any complex waveform can be represented as a combination of simpler sinusoidal waveforms. These simpler waveforms are characterized by their frequency, amplitude, and phase.

The procedure involves decomposing a complex waveform into its constituent frequencies by applying the Fourier transform. The Fourier transform converts the waveform from the time domain to the frequency domain, revealing the underlying frequency components. By analyzing the resulting spectrum, which shows the amplitude and phase of each frequency component, one can determine the simpler waveforms that make up the original complex pattern.

Fourier analysis has numerous applications, such as analyzing sound waves, image processing, and data compression. It enables us to better understand and manipulate complex signals by breaking them down into their fundamental building blocks.

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Answer:

given,

final interest = Prt

p = 7500

r = 15%

t= 8 yrs

Fi= 7500 x 0.15 x 8

= 1125 x 8

=9000

total savings = 9000 + 7500 = 16500

The jungle was 4.8 miles away.

So,

The formula of, Distance = Speed × Time

Therefore, the jungle was 4.8 miles away.

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To determine if a polynomial graph is positive or negative, you need to look at the sign of the leading coefficient of the polynomial. If the leading coefficient is positive, the graph will be positive.

If the leading coefficient is negative, the graph will be negative. This is because the highest degree of the polynomial will determine the sign of the graph as the graph will either be increasing (positive) or decreasing (negative). To determine the leading coefficient, look at the polynomial expression and identify the term with the highest degree. The sign of this term will be the sign of the graph. For example, if the highest degree is 3, then the term would be ax^3, and the graph will be positive if a is positive, and negative if a is negative.

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Answer:

1. 3/14

2. 2/7

3. 1/7

4. 5/14

5. 11/14

6. 9/14

Step-by-step explanation:

first get the total number of pens

3 red pens + 4 blue pens + 2 black pens + 5 green pens =

14 total number of pens

1. What is the probability that the pen chosen red?

3 red pens out of a total of 14 pens = 3/14

2. What is the probability that the pen chosen is blue?

4 blue pens out of a total of 14 pens = 4/14 -> simplified -> 2/7

3. What is the probability that the pen chosen is black?

2 black pens out of a total of 14 pens = 2/14 -> simplified -> 1/7

4. What is the probability that the pen chosen is green?

5 green pens out of a total of 14 pens = 5/14

5. What is the probability that the pen chosen is NOT red?

of the 3 red pens, 4 blue pens, 2 black pens and 5 green pens

4 blue pens, 2 black pens and 5 green pens are NOT red

4 blue pens + 2 black pens + 5 green pens =

11 total number of pens that are NOT red

11 total number of pens that are NOT red out of a total of 14 pens = 11/14

6. What is the probability that the pen chosen is NOT green?

of the 3 red pens, 4 blue pens, 2 black pens and 5 green pens

the 3 red pens, 4 blue pens, 2 black pens are NOT green

3 red pens + 4 blue pens + 2 black pens =

9 total number of pens that are NOT green

9 total number of pens that are NOT green out of a total of 14 pens = 9/14

gathmath.com

Given :-

>> Total no. of outcomes = 3 + 4 + 2 + 5

>> Total no. of outcomes = 3 + 4 + 7

>> Total no. of outcomes = 10 + 4

>> Total no. of outcomes = 14

Solution 1 :-

We know,

As there are three red pens. Therefore,

Solution 2 :-

We know,

As there are four blue pens. Therefore,

Solution 3 :-

We know,

As there are two black pens. Therefore,

Solution 4 :-

We know,

As there are five green pens. Therefore,

Solution 5 :-

We know,

As there 11 pens that are not red (Green + black + blue).

Solution 6 :-

We know,

As there are 9 pens that are not green (Red + blue + black).

Angela will have cell phone service from tower 2 only , Option C is the answer.

An inequality is an algebraic expression connected to another algebraic expression with an inequality operator.

The two inequalities given are

(x+5)² + (y+2)² ≤ 144

(x-8)² +(y-7)²  ≤100

The inequalities are plotted on the graph

and the location of Angels's Friends ( 4 , 8) is also plotted

If this lies in the area of the Inequalities she will have signal.

At Angela's friends house she will have the signal of Tower 2 only.

Therefore Option C is the answer.

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Bianca can buy only 5 tickets to not overdraw on her debit card.

A difference between two values indicates whether one is smaller, larger, or basically not similar to the other.

A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

Given that Bianca has $50 on her debit card.

She uses her debit card to spend $14.50 on lunch

Let's say the number of movie tickets is x then 6.50x will be the total cost of a movie ticket.

Lunch cost + movie ticket cost ≤ Debit card amount

14.50 + 6x ≤ 50

6x ≤ 35.5

x ≤ 5.461

Now since movie ticket is a whole quantity so she can only buy 5 tickets.

Hence "Bianca can buy only 5 tickets to not overdraw on her debit card".

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Investment X gives a greater amount of $50.40 over a period of two years

Investment X:

Principal amount invested = $6000

Time in years = 2 years

Rate of interest = 4.5%

Type of interest: Simple

Finding the interest using the formula for simple interest:

Simple interest = P*R*T/100

where P = principal invested

R = rate of interest

T = time in years

Substituting the values we get:

Simple interest = 6000*4.5*2/100

= $540

Investment Y:

Principal amount = $6000

Time in years = 2 years

Rate of interest = 4%

Finding the interest using the formula

Compound interest = P(1+r/100)^n - P

where P = principal amount invested

r = rate of interest

n = number of years

Substituting the values in the formula we get:

Compound interest = 6000(1+4/100)^2-6000

= (6000*1.0816)-6000

=$489.6

So, the difference in amount = 540-489.6 = $50.40

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Answer:

12 ima shoot u

Step-by-step explanation:

There are 480 ways to arrange the six people such that the two people do not sit side-by-side.

(a) There are 6 people and they want 2 specific people to sit together, so we can consider them as a single entity. This reduces the problem to arranging 5 entities (the group of 2 people and the remaining 4 individuals) in a row. The number of ways to do this is 5!, or 120 ways.

(b) If two people do not want to sit together, we can consider them as separate entities. This means that we have to arrange 6 entities in a row, but we cannot place the two people next to each other.

To count the number of ways to arrange the six people such that the two people do not sit side-by-side, we can use complementary counting. We first find the total number of ways to arrange the six people, which is 6!, or 720 ways.

Next, we count the number of arrangements where the two people sit side-by-side. We can treat them as a single entity and arrange the remaining 5 entities in a row, which can be done in 5! ways. However, since the two people can swap positions, we need to multiply by 2 to get the total number of arrangements where they sit side-by-side, which is

Finally, we subtract the number of arrangements where the two people sit side-by-side from the total number of arrangements to get the number of arrangements where they do not sit side-by-side:

Therefore, there are 480 ways to arrange the six people such that the two people do not sit side-by-side.

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The product of rational numbers can always be expressed as the ratio of two integers, where the denominator is not zero.

The product of rational numbers can always be written as a rational number. A rational number is defined as the quotient of two integers, where the denominator is not zero. When we multiply two rational numbers, we are essentially multiplying the numerators and denominators separately.

Let's consider two rational numbers, a/b and c/d, where a, b, c, and d are integers and b, d are not equal to zero. The product of these rational numbers is (a/b) * (c/d), which can be simplified as (a * c) / (b * d). Since multiplication of integers results in another integer, both the numerator and denominator are integers.

Furthermore, as long as the denominators b and d are not zero, the product remains a valid rational number.

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The correct answer is e) all of these are correct. Both PCA (principal component analysis) and topic modeling operate on the term-document frequency matrix and are able to extract latent dimensions from the data.

They both aid the data scientist in exploring and understanding the data, as they can help to identify patterns and underlying themes in the data. PCA is a linear dimensionality reduction technique that can be used to identify the most important variables in a dataset, while topic modeling is a probabilistic approach to uncovering latent topics within a corpus of text. Both methods have been widely used in natural language processing and machine learning applications, and can be powerful tools for gaining insights into large, complex datasets.

PCA (Principal Component Analysis) and topic modeling are techniques that can both operate on the term-document frequency matrix, extract latent dimensions from data, and help data scientists explore and understand the data.

Therefore, the correct answer is e. all of these are correct. PCA is a dimensionality reduction technique that identifies the principal components in the data, while topic modeling is a text mining approach that uncovers hidden topics in a collection of documents. Both methods facilitate data analysis and interpretation by reducing complexity and revealing underlying patterns.

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Answer:

the answer is 5 degrees

Step-by-step explanation:

Answer:

None of them, 3x + 15 is correct.

Step-by-step explanation:

In order to apply the distributive properly correctively, we need to multiply everything in the parentheses. For an example, lets look at the given expression:

\(3(x+5)\)

We multiply everything in the parentheses by 3

\(3x+15\)

Looking at out choices, none of them uses the distributive property correctly.

Answer:

let Greg's age be X

therefore;

4X - 3 = 3X + 7

4X - 3X = 7 + 3

X = 10

Greg is 10 years old

hope it's helpful

The median of a symmetric distribution will be equal to its mean. Therefore, in this case, if the distribution of the index price is symmetric with an average price of $2,436.44, the median will also be $2,436.44.

To understand why this is the case, we can consider the properties of a symmetric distribution. In a symmetric distribution, the values are equally distributed around the center point. This means that the left and right halves of the distribution mirror each other. The median represents the middle value of the distribution, dividing it into two equal halves. Since the distribution is symmetric, the median will coincide with the mean, which is the average value of the distribution.

In summary, when the distribution is symmetric, the median will be equal to the mean. Therefore, in this scenario, the median index price will be $2,436.44.

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The inverse function of S(x) = 4 - \(7e^{2x}\) is \(S^{(-1)(x)}\) = (1/2)ln[(x - 4) / -7], and its domain is the set of all real numbers, while its range is all real numbers except zero.

Inverse functions play a significant role in mathematics as they allow us to reverse the process of a given function. In this case, we will find the inverse of the function S(x) = 4 - \(7e^{2x}\) by solving for x in terms of S(x). We will then determine the domain and range of the inverse function, denoted as \(S^{(-1)(x)}\).

To find the inverse function of S(x) = 4 - \(7e^{2x}\), we need to interchange the roles of x and S(x) and solve for x. Let's begin by rewriting the function as follows:

S(x) = 4 - \(7e^{2x}\)

Step 1: Interchanging x and S(x):

Swap x and S(x) to obtain:

x = 4 - \(7e^{2S}\)

Step 2: Solve for S:

To isolate S, we can rearrange the equation as follows:

x - 4 = -\(7e^{2S}\)

Next, divide both sides of the equation by -7:

(x - 4) / -7 = \(e^{2S}\)

Step 3: Solve for S(x):

To isolate S, we can take the natural logarithm (ln) of both sides of the equation, which will cancel out the exponential function \(e^{2S}\):

ln[(x - 4) / -7] = ln[\(e^{2S}\)]

Applying the property of logarithms (ln(eᵃ) = a), we get:

ln[(x - 4) / -7] = 2S

Now, divide both sides of the equation by 2:

(1/2)ln[(x - 4) / -7] = S

Therefore, the inverse function \(S^{-1x}\) is given by:

\(S^{-1x}\) = (1/2)ln[(x - 4) / -7]

Domain and Range of \(S^{-1}\):

The domain of \(S^{-1x}\) corresponds to the range of the original function S(x). Since S(x) is defined as 4 - \(7e^{2x}\), the exponential function \(7e^{2x}\)\(e^{2x}\) is always positive for any real value of x. Therefore, S(x) is defined for all real numbers, and the domain of \(S^{-1x}\) is also the set of real numbers.

To determine the range of \(S^{-1x}\), we consider the behavior of ln[(x - 4) / -7]. The natural logarithm is only defined for positive values, excluding zero. Therefore, the range of \(S^{-1x}\) consists of all real numbers except zero.

In summary, the inverse function of S(x) = 4 - \(7e^{2x}\) is \(S^{-1x}\) = (1/2)ln[(x - 4) / -7], and its domain is the set of all real numbers, while its range is all real numbers except zero.

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By using slope intercept , These were the two points on the line: (0,-2) and (7,2).

A line is defined by the equation y = mx + b, which is also known as the slope-intercept form. When the line is graphed, m represents the slope and b the point at which the line intersects the y-axis.

We may use the slope-intercept form of a line, which is y=mx+b where m is the slope and b is the y-intercept, to graph the line y=4/7x-2. Therefore, m=4/7 and b=-2.

These variables allow us to plot two spots along the line. Since the line crosses the y-axis at (0,-2) (the y-intercept), that location will be one of the points.

We can utilize the slope of 4/7 to locate a different point along the line. This indicates that we advance up 4 units in the y direction for every 7 units we move to the right (in the x direction). We can therefore move 7 units to the right and then 4 units up, starting at (0,-2), to reach (7,2).

So now we have two points on the line: (0,-2) and (7,2). These points can be plotted on a coordinate plane, and then a straight line can be drawn through them to create the graph.

Graph given below:

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Answer:

1579.5

Step-by-step explanation:

i think ...

81 x 39 =3159 / 2 (because there are 2 sides )=1579.5