A baby weighs 18 pounds at her four-month appointment. Six months later she weighs 24 pounds. By what percentage did the baby's weight increase?​

The return type of the function is an integer (int), which corresponds to the decimal value of the binary string.

here is a possible implementation of the bin2dec function:

```
#include
using namespace std;

int bin2dec(const string& binarystring) {
   int decimal = 0;
   int power = 1;
   for (int i = binarystring.length() - 1; i >= 0; i--) {
       if (binarystring[i] == '1') {
           decimal += power;
       }
       power *= 2;
   }
   return decimal;
}
```

This function takes a binary string as input and returns the corresponding decimal number as output. It uses a loop to iterate through the characters of the string from right to left, starting with the least significant bit. For each bit that is a '1', it adds the corresponding power of 2 to the decimal value. Finally, it returns the decimal value.

Note that the function header specifies that the input binary string should be passed as a const reference to a string object, which means that the string cannot be modified inside the function. The return type of the function is an integer (int), which corresponds to the decimal value of the binary string.

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The amount of interest earned on a deposit of $60.00 at a rate of 9% per annum for 2 years is $108.

As per the given problem:

Amount deposited = $60.00

Interest rate per year = 9%

The formula for calculating the interest is given by:

Interest = (Principal × Rate × Time)/100

Where Principal is the initial amount invested or deposited

Rate is the percentage of interest that you earn per annum

Time is the duration for which you want to calculate the interest

Putting the values in the above formula, we get:

Interest = (60 × 9 × 2)/100= (108 × 1)/1= $108

So, the amount of interest earned on a deposit of $60.00 at a rate of 9% per annum for 2 years is $108.

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Answer:

76 words each minute

Step-by-step explanation:

Answer:

4:3

Step-by-step explanation:

8:6 then divide both by 2

Answer:

f(- 3) = 16

Step-by-step explanation:

substitute x = - 3 into f(x) , that is

f(- 3) = - 6(- 3) - 2 = 18 - 2 = 16

Answer:

203 ft²

Step-by-step explanation:

We need to use multiplication for the answer of this.

29 × 7 = 203

so that means that the answer in feet is 203 ft²

good luck hope this helped

-cheesetoasty

Answer:

12 divided by 40 = 0.3

0.3 times 100 = 30%

30% of stores DO sell clothing

Lets subtract

100-30=70%

70% of stores DO NOT sell clothing

Least to greatest slope, the segments are B, C, A.

What is the segment's slope ?

The slope of a line segment indicates how steep the line segment is. It is the ratio of rise (the change in vertical height between the endpoints) to run (the change in horizontal length between the endpoints).

The segment's slope provides information about how quickly the water level is rising. In relation to the angle the segment makes with the +x axis, the slope is defined as the rise to run ratio.

Greater slope can be found in segments that have more ascent for a given run. With respect to the +x axis, segments with a greater reference angle have a steeper slope.

Segment B has the least slope in this case, followed by segment C, and then segment A, which has the greatest slope.

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Answer:

You can use logic and proportion here

Step-by-step explanation:

10 bags ---> 20 days

∴ 100 bags ---> 20 days x \(\frac{100 bags}{10bags}\)        

                   ---> 20 days x 10

                   ----> 200 days

Answer: I'd say reflection

Answer:

It is a reflection

Step-by-step explanation:

In Geometry, a reflection is known as a flip. A reflection is a mirror image of the shape. An image will reflect through a line, known as the line of reflection. A figure is said to reflect the other figure, and then every point in a figure is equidistant from each corresponding point in another figure.

Answer:

Step-by-step explanation: 1/2 is the slope of the line

The three vectors that form an orthonormal basis for R3 are:

u = (0.6, -0.8, 0)
v = (1, 0, 0)
w = (0, 0, 0.6)

To find the missing coordinates such that the three vectors form an orthonormal basis for R3, we need to use the concept of coordinates, vectors, and orthonormality.

First, let's define the three vectors as u = (0.6, -0.8, 0), v = (1, 0, 0), and w = (0, 0, 0.6).

To form an orthonormal basis for R3, the three vectors need to be orthogonal to each other and have a magnitude of 1.

Orthogonality means that the dot product of any two vectors is 0. So we need to find the missing coordinates of w such that:

u • v = 0
u • w = 0
v • w = 0

Since u and v are already orthogonal to each other, we only need to find the missing coordinates of w such that it is orthogonal to both u and v.

Let's start with u • w = 0:

0.6 * 0 + (-0.8) * 0 + 0 * 0.6 = 0

This equation is already satisfied, so we don't need to find any missing coordinates for w in relation to u.

Now let's look at v • w = 0:

1 * 0 + 0 * 0 + 0 * 0.6 = 0

Again, this equation is already satisfied, so we don't need to find any missing coordinates for w in relation to v.

Since both equations are satisfied, the missing coordinates of w are (0, 0).

Therefore, the three vectors that form an orthonormal basis for R3 are:

u = (0.6, -0.8, 0)
v = (1, 0, 0)
w = (0, 0, 0.6)

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Answer:

If Joshua sells a pack of pens for $3.15, which is 5 percent more than he pays for them, we can set up the following equation:

1.05x = 3.15

Here, x represents the amount Joshua pays for a pack of pens.

To solve for x, we can divide both sides of the equation by 1.05:

x = 3.15 / 1.05

Simplifying, we get:

x = 3

Therefore, Joshua pays $3 for a pack of pens.

This equation will have only one solution, which is x = 3.

hope it helps you

Step-by-step explanation:

ONE solution

x = price he pays

1.05x  = price at which  he sells

1.05x = $ 3.15

x = $ 3.15/1.05

Answer:

0.54545454545 as a decimal

Step-by-step explanation:

Answer:

-33

Step-by-step explanation:

Plug it in;

f(7)= -5(7)+2

-5(7)= -35+2= -33

The rate of change in the plant's height in terms of inches per week will be 1 2/3 inches.

Rate of change is used to mathematically describe the percentage change in value over a defined period of time, and it represents the momentum of a variable.

The calculation for the rate of change is simple in that it takes the current value of a stock or index and divides it by the value from an earlier period.

The change in y (y being the height of the plant) over 4 weeks was 6 2/3 inches and there are four weeks. Therefore, the average height will be:

= 6 2/3 ÷ 4

= 1 2/3 inches

The average rate of change of the plant growth per week was 1 2/3 inches.  

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Complete question:

Alan's bamboo plant adds some flair to his apartment. In four weeks, Alan has trimmed a total of 6 2/3 inches off the top of the plant. What is the rate of change in the plant's height in terms of inches per week? Ignore the growth rate of the plant.

a.+1 2/3B)-1 2/3C)+3/5D)-5/2

Answer:

y=3/4x+2

Step-by-step explanation:

The given statement is false, if the sample size is large enough, the skewness of the population distribution does not affect the shape of the sampling distribution for the sample mean.

When the population distribution is extremely skewed, the sampling distribution for the sample mean will be skewed when the sample size is small (less than 30). Skewness refers to the degree of asymmetry in a probability distribution. In a skewed distribution, the tail of the distribution extends either to the right or to the left, and the mean, median, and mode of the distribution are not equal.

In a small sample, the distribution of the sample mean tends to follow the shape of the population distribution, meaning that it will also be skewed if the population distribution is extremely skewed. This is because when the sample size is small, the sample mean is highly influenced by extreme values or outliers in the population, which can distort the shape of the sampling distribution.

However, as the sample size increases, the sampling distribution of the sample mean becomes more symmetric and approaches a normal distribution, regardless of the shape of the population distribution. This is known as the central limit theorem, which states that the distribution of the sample mean approaches a normal distribution as the sample size increases.

Therefore, if the sample size is large enough, the skewness of the population distribution does not affect the shape of the sampling distribution for the sample mean.

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Answer:

BC=AB

Step-by-step explanation:

This triangle is isosceles that it means has two equal ribs. BC=AB so BC= 4x-14. I think it is in the right form. It depends on how you named the triangle. The important thing is that two equal ribs are those ribs that are in front not the base.

For a real number x, by using mathematical induction it is shown that a\((1 + x)^{2n}\) > 1 + 2nx for every positive integer n.

To prove the inequality a\((1 + x)^{2n}\) > 1 + 2nx  for every positive integer n, we will use mathematical induction.

The inequality holds true for n = 1, and we will assume it is true for some positive integer k.

We will then show that it holds for k + 1, which will complete the proof.

For n = 1, the inequality becomes a\((1 + x)^2\) > 1 + 2x.

This can be expanded as a(1 + 2x + \(x^2\)) > 1 + 2x, which simplifies to a + 2ax + a\(x^2\) > 1 + 2x.

Now, let's assume the inequality holds true for some positive integer k, i.e., a\((1 + x)^{2k}\) > 1 + 2kx.

We need to prove that it holds for k + 1, i.e., a\((1 + x)^{2(k+1)}\) > 1 + 2(k+1)x.

Using the assumption, we have a\((1 + x)^{2k}\) > 1 + 2kx.

Multiplying both sides by \((1 + x)^2\), we get a\((1 + x)^{2k+2}\) > (1 + 2kx)\((1 + x)^2\).

Expanding the right side, we have a\((1 + x)^{2k+2}\) > 1 + 2kx + 2x + 2k\(x^2\) + 2\(x^2\).

Simplifying further, we get a\((1 + x)^{2k+2}\) > 1 + 2(k+1)x + 2k\(x^2\) + 2\(x^2\).

Since k and x are positive, 2k\(x^2\) and 2\(x^2\) are positive as well.

Therefore, we can write a\((1 + x)^{2k+2}\) > 1 + 2(k+1)x + 2k\(x^2\) + 2\(x^2\) > 1 + 2(k+1)x.

This proves that if the inequality holds for some positive integer k, it also holds for k + 1.

Since it holds for n = 1, it holds for all positive integers n by mathematical induction.

Therefore, we have shown that a\((1 + x)^{2n}\) > 1 + 2nx  for every positive integer n.

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An exponential function is a Mathematical function in the form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0. The most commonly used exponential function base is the transcendental number e, which is approximately equal to 2.71828.

An exponential function is defined by the formula f(x) = ax, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.

The exponential function is an important mathematical function which is of the form

f(x) = \(a^x\)

Where a>0 and a is not equal to 1.

x is any real number.

If the variable is negative, the function is undefined for -1 < x < 1.

Here,

“x” is a variable

“a” is a constant, which is the base of the function.

The examples of exponential functions are:

f(x) = \(2^x\)

f(x) = 1/ \(2^x\) = \(2^-x\)

f(x) =\(2^(x+3)\)

f(x) = \(0.5^x\)

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Answer: x=3

Step-by-step explanation:

6x + 3x - x + 9 = 33

Combine like terms:

6x+3x-x=8x

The equation is now 8x+9=33

Subtract 9 on both sides:

8x+9-9=33-9

8x=24

Divide 8 on both sides:

8x/8=24/8

x=3

Angle ABC is greater than angle C, as required. Given triangle ABC with AC greater than AB, and BD drawn such that AD is congruent to AB, we need to prove that angle ABC is greater than angle C.

To begin with, we can draw a diagram to visualize the situation. In the diagram, we see that BD is an altitude of triangle ABC, as well as a median since it divides the base AC into two equal parts. We also see that triangles ABD and ABC are congruent by the side-side-side (SSS) criterion, which means that angle ABD is equal to angle ABC.

Now, we can use this information to prove our statement. Since triangle ABD and triangle ABC are congruent, their corresponding angles are also equal. Therefore, we know that angle ABD is equal to angle ABC.

Next, we observe that angle ABD is a right angle, since BD is an altitude of triangle ABC. This means that angle ABC is the sum of angles ABD and CBD.

Since AD is congruent to AB, we also know that angles ABD and ADB are congruent. Therefore, angle CBD is greater than angle ADB.

Putting all of this together, we can conclude that angle ABC is greater than angle C, as required.

In summary, we have shown that given triangle ABC with AC greater than AB and BD drawn such that AD is congruent to AB, angle ABC is greater than angle C. This is because angles ABD and CBD add up to angle ABC, and angle CBD is greater than angle ADB.

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Answer:

B. 2(3)

Step-by-step explanation:

The other 3 all shows decreasing of 2 three times. 2(3) would be increasing.

Answer: 14

Step-by-step explanation:

\(\text{The midpoint of the segment is } \left(\frac{2+2}{2}, \frac{10+k}{2} \right)=(2, 5+0.5k). \\ \\ \text{We know that the line passing through this midpoint is } y=7 \\ \\ \text{so } 0.5k=7 \longrightarrow \boxed{k=14}\)

The volume of the rectangular prism for the given dimensions length , width , and the height is equal to 168 cubic inches.

Dimensions of the rectangular prism is equal to,

length of the rectangular prism = 12 inches

width of the rectangular prism = 8 inches

height of the rectangular prism = 1.75 inches

The formula for the volume of a rectangular prism is equal to,

Volume of the rectangular prism = length x width x height

Plugging in the given values of the dimensions , we have,

⇒ Volume of the rectangular prism  = 12 inches x 8 inches x 1.75 inches

Simplifying this expression to get the volume of rectangular prism, we get,

⇒ Volume of the rectangular prism = 168 cubic inches

Therefore, the volume of the rectangular prism is 168 cubic inches.

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The point-slope form of the line is y - 2 = 1/3(x - 3).

What is slope ?

A line's steepness is determined by its slope. In mathematics, slope is determined by "rise over run" (change in y divided by change in x).

An equation is a mathematical statement that proves two mathematical expressions are equal in algebra, and this is how it is most commonly used. In the equation 3x + 5 = 14, for instance, the two expressions 3x + 5 and 14 are separated.

The equation of the line into point slope-form is equal to

y - y1 = m(x - x1)

slope(m) = 1/3

(3,2)....x1 = 3 and y1 = 2

now we sub

y - 2 = 1/3(x - 3)

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Answer:

Step-by-step explanation:

Greater, provided the divisor is positive.

It would be more accurate and clearer to say that when dividing a number which is greater than zero by a number between 0 and 1, then the quotient is greater than the dividend.

If the divisor is negative and the dividend is positive, then the quotient is negative (and hence less than the dividend).

Answer:

Step-by-step explanation:

Notice that the pair of angles are inside parallels, and at different sides of the transversal. So, those angles are alternate interior angles by definition, which means they are congruent.

Therefore, the right answer is B.