First write each of these numbers in standard notation then put them in order from least to greatest

The total amount of money collected altogether as per $825 is collected through donation is equal to $2500.

As given in the question,

Let 'y' be the total amount of money collected altogether

Percent of money collected through donation is equal to 33%

Amount of money collected through donation is equal to $825

33% of y = $825

⇒ ( 33 / 100 ) × y = $825

⇒ y = ( 825 × 100 ) / 33

⇒ y = $2500

Therefore, total amount of money collected altogether as per the 33% of amount collected through donation is equal to $2500.

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From the graph given in the question;

a. g(-1) which is the value of g(x) when x = -1;

b. g(-3) the value of g(x) when x = -3;

c. find x when g(x)=4.

at g(x) = 4, the value of x is;

To find the reciprocal of a number, we simply take the reciprocal of that number. The reciprocal of n must satisfy -10 < 1/n < 10.

In this case, we have a number denoted as "n" which is to the left of 0 on the number line, and we know that the square of n is less than 1/100.

Let's solve this step by step:

1. We know that\(n^2 < 1/100.\) Taking the square root of both sides gives us |n| < 1/10 since the square root of 1/100 is 1/10.

2. Since n is to the left of 0 on the number line, it is negative. Therefore, we can rewrite the inequality as -1/10 < n < 1/10.

3. Now, to find the reciprocal of n, we simply take the reciprocal of each side of the inequality. However, we need to be careful when dealing with inequalities involving negative numbers. When we take the reciprocal of a negative number, the inequality sign flips.

Reciprocal: -1/10 < n < 1/10

Taking the reciprocal: -10 < 1/n < 10

So, the reciprocal of n must satisfy -10 < 1/n < 10.

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Answer:

Coordinates of the point P are \((-\frac{29}{7},-1)\)

Step-by-step explanation:

If a point P(x, y) divides the line AB into the ratio of m : n, coordinates of this point will be,

x = \(\frac{mx_2+nx_1}{m+n}\)

y = \(\frac{my_2+ny_1}{m+n}\)

In the given question m : n = 3 : 4

And the coordinates of A and B are (-5, -4) and (-3, 3) respectively.

x = \(\frac{3(-3)+4(-5)}{3+4}\)

x = -\(\frac{29}{7}\)

y = \(\frac{3(3)+4(-4)}{3+4}\)

y = -1

Therefore, coordinates of the given point P are \((\frac{29}{7},-1)\).

Answer:

A = 63,360 inches

B = 82

C = 82 divided by 776.1 = 13 so 13 x 2 = 26 which is your answer

Hope this helps! <3

9!

---------------

2! x 2! x 2!

Answer:

1. City A
2. Exponential Growth
3. Linear

Step-by-step explanation:

The equation for exponential growth is f(x)=a(1+r/100)^x, where a is the initial growth/starting population, r is the growth rate, and x is the time intervals.

City A
f(x)=200(1+1.05/100)^x
Simplify:
f(x)=200(1.105)^x

City B
An increase in 20 people each year is NOT exponential but linear:
f(x)=20x+200

Now we plug in x for 1 to stand for 1 year and see which city has a greater number:
City A:
f(1)=200(1.105)^1
f(1)=200 x 1.105
f(1)=221

City B:
f(1)=20(1)+200

f(1)=20+200

f(1)=220

City A will have more people.

City A is an exponential function because there's a percent increase every year, and there will be more people every year because there are more people. This is kind of how compound interest also works

City B is a linear equation because a set number of people are added every year and doesn't change based on the amount of people already in it.

1. City B will have more population after 1 year.

In this case, we have been given of both the cities A and B with each year's growth factor and we have been told to find out, which city will have more population after 1 year. So to find out the comparison, first we need to find out the individual popoulation of both the cities after 1 year of interval.

So, population of City A after 1 year will be 200 * 1.05 = 210

Similarly,  population of City B after 1 year will be 200 + 20 = 220

It is clear that City B has more population as compared to City A.

Therefore, after 1 year City B has more population.

2. equation for City A is Exponential Growth Equation.

Exponential growth is the growth which takes place when a particular quantity increases at a constant rate over a fixed time period. It is given in the form of \(P = P_{0} * (1 + r)^t\), where P is population, \(P_{0}\) is initial population, r is the growth rate, and t is time period.

3. equation for City B is Linear Equation.

Linear equation is a representation of a straight line when graphed on paper. It has constant coefficients and variables raised to power 1. It is given in the form of \(P = P_{0} + rt\), where P is population, \(P_{0}\) is initial population, r is the growth rate, and t is time period.

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The probability that the first lefty is either the third or the fifth person chosen is approximately 0.073 or 7.3%.

To solve this problem, we first need to find the probability that the first lefty is the third person chosen. This can be done using the following formula:

P(first lefty on third pick) = (0.25 * 0.75 * 0.25) = 0.046875

In this formula, the first term (0.25) represents the probability of selecting a lefty on the first pick. The second term (0.75) represents the probability of not selecting a lefty on the second pick, since we have already selected one person. The third term (0.25) represents the probability of selecting a lefty on the third pick, since we have not yet selected a lefty in the first two picks.

Next, we need to find the probability that the first lefty is the fifth person chosen. This can be done in a similar way:

P(first lefty on fifth pick) = (0.25 * 0.75 * 0.75 * 0.75 * 0.25) = 0.0263671875

In this formula, the first term (0.25) represents the probability of selecting a lefty on the first pick. The second, third, and fourth terms (0.75) represent the probability of not selecting a lefty on the second, third, and fourth picks, since we have already selected one or more people. The fifth term (0.25) represents the probability of selecting a lefty on the fifth pick, since we have not yet selected a lefty in the first four picks.

Finally, we can add the two probabilities together to get the overall probability that the first lefty is either the third or the fifth person chosen:

P(first lefty is third or fifth) = P(first lefty on third pick) + P(first lefty on fifth pick)

P(first lefty is third or fifth) = 0.046875 + 0.0263671875

P(first lefty is third or fifth) = 0.0732421875

Therefore, the probability that the first lefty is either the third or the fifth person chosen is approximately 0.073 or 7.3%.

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The quotient include the following: D. \(\frac{x(2x-3)}{7}\)

In Mathematics and Geometry, a quotient is a mathematical expression that is simply used to represent the division of a number (numerator) by another number (denominator).

Based on the information provided above, we can logically deduce the following mathematical expression;

\(\frac{2x-3}{x} \div \frac{7}{x^2}\)

By rearranging the mathematical expression using the multiplication operation, we have:

\(\frac{2x-3}{x} \times \frac{x^{2} }{7}\\\\2x-3 \times \frac{x }{7}\\\\\frac{x(2x-3)}{7}\)

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The set R can be written as R = {-4, -3, -2, -1, 0, 1, 2, 3, 4}. It consists of all integers from -4 to 4, inclusive.

In set notation, we use curly braces { } to denote a set, and the vertical bar | is used to separate the variable (x) from the condition that defines the elements of the set. In this case, the condition is that x is an integer and -4 ≤ x ≤ 4. Therefore, we list all the integers within this range to represent the set R.

The set R represents a finite set of integers. It includes the numbers -4, -3, -2, -1, 0, 1, 2, 3, and 4. These are the only elements that satisfy the condition specified in the set notation. By explicitly listing all the elements, we provide a clear and concise representation of the set R.

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Answer:

Maya collected data about the number of ice cubes and milliliters of juice in several glasses of juice and organized the data into this table.

Ice Cubes 4 2 3 5 5 3 1

Juice (milliliters) 177 234 202 140 155 210 265

She used a graphing tool to display the data in a scatter plot, with x representing the number of ice cubes and y representing the milliliters of juice. Then she used the graphing tool to find the equation of the line of best fit:

y = -29.202x + 293.5.

Based on the line of best fit, approximately how many milliliters of juice will be in a glass with 7 ice

Step-by-step explanation:

Based on the line of best fit, approximately how many milliliters of juice will be in a glass with 7 ice.

Maya collected data about the number of ice cubes and milliliters of juice in several glasses of juice and organized the data into this table.

Ice Cubes             4        2      3        5       5      3        1

Juice (milliliters)  177    234   202   140   155   210   265

She used a graphing tool to display the data in a scatter plot, with x representing the number of ice cubes and y representing the milliliters of juice. Then she used the graphing tool to find the equation of the line of best fit:

y = -29.202x + 293.5.

A line of best fit refers to a line through a scatter plot of data points that best expresses the relationship between those points. Statisticians typically use the least-squares method to arrive at the geometric equation for the line, either through manual calculations or regression analysis software.

Based on the line of best fit, approximately how many milliliters of juice will be in a glass with 7 ice.

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Answer:

11 blocks

Step-by-step explanation:

The true statements for this graph are:

B. The domain is the set of all real numbers.

D. The range is the set of all real numbers greater than or equal to zero.

A domain can be defined as the set of all real numbers for which a particular function is defined. For this graph, the vertex of the parabola is (1, 0) and as such, the equation will be given by:

y = (x - h)² + k

y = (x - 2)² + 0

y = x² -4x + 4

Therefore, the graph's domain include a set of all real numbers.

A range refers to a set of all real numbers that connects with the elements of a domain. For this graph, we can observe that only real numbers greater than or equal to zero (0) are connected to the values on the x-axis of the domain.

In conclusion, we can logically deduce that the true statements for this graph are:

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Answer:

Use Pythagorean theorm.

a^2 + b^2 = c^2 (c is hypotenuse).

Let c = 5+b (because in the question it says the hypotenuse is one leg plus 5 more meters) ; we will solve for b and say it's the leg we don't know.

We will say A is the "other leg" we know, which is 6.

6^2 + b^2 = (5+b)^2

We get b = 1.1

\(~\hspace{7em}\textit{negative exponents} \\\\ a^{-n} \implies \cfrac{1}{a^n} ~\hspace{4.5em} a^n\implies \cfrac{1}{a^{-n}} ~\hspace{4.5em} \cfrac{a^n}{a^m}\implies a^na^{-m}\implies a^{n-m} \\\\[-0.35em] ~\dotfill\\\\ (4)^{\frac{-4}{2}} \implies (4)^{-2}\implies 4^{-2}\implies \cfrac{1}{4^2}\implies \cfrac{1}{16}\)

Answer:

14. EA, EB, EC, EG

15. AC, AD, AE, A F

The no: of solutions that the equation -1/2(-8x+14) = 3x +9+x  has is 1

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.

There are three major forms of linear equations: point-slope form, standard form, and slope-intercept form.

The no: of solutions that the equation is -1/2(-8x+14) = 3x +9+x is 1

as the equation is 1 degree polynomial.

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Answer:

f=9

Step-by-step explanation:

f+5=323f+5=32

We move all terms to the left:

3f+5-(323f+5)=0

We get rid of parentheses

3f-323f-5+5=0

We add all the numbers together, and all the variables

-320f=0

f=0/-320

f=9

Answer:

9

Step-by-step explanation:

\(~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\\ P=\textit{original amount deposited}\dotfill &\$3200\\ r=rate\to 7.75\%\to \frac{7.75}{100}\dotfill &0.0775\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{annually, thus once} \end{array}\dotfill &1\\ t=years\dotfill &13 \end{cases} \\\\\\ A=3200\left(1+\frac{0.0775}{1}\right)^{1\cdot 13}\implies A=3200(1.0775)^{13}\implies A\approx 8444.51\)

The circumference of a circle will be 131.964.

What is circumference of a circle?

The measurement of the circle's boundaries is called as the circumference or perimeter of the circle. whereas the circumference of a circle determines the space it occupies. The circumference of a circle is its length when it is opened up and drawn as a straight line. Units like cm or unit m are typically used to measure it. The circle's radius is considered while calculating the circumference of the circle using the formula. As a result, in order to calculate the circle's perimeter, we must know the radius or diameter value.

The radius of the circle given is = 21cm

circumference is 2πr = 2*3.142*21 = 131.964cm.

Hence the circumference of a circle 131.964cm.

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Answer:

C 47.12 L

Step-by-step explanation:

1 gallon = 3.8 liters

12.4 gallons = x

Cross Multiply

= 12.4 × 3.8

47.12 liters

Option C is correct

A preimage (the original) is the two-dimensional shape before any transformation. The image (the transferred one) is the figure after transformation.

A transformation is a process that manipulates a polygon or other two-dimensional object an a plane or coordinate system. Mathematical transformations describe how two-dimensional figures move around a plane or coordinate system.

Following are the types of transformations:-

Dilation, Reflection, Rotation, Shear, Translation.

Preimage is the set of all elements of the domain that are mapped into a given subset of the co-domain.

A transformation is a general term for four specific ways to manipulate the shape and/or position of a point, a line, or geometric figure.

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There are total of 152 students in 5th grade, then the number of pencils altogether will be equal to 2,736 pencils.

The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.

They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.

As per the given information in the question,

Total number of students in 5th grade = 152

Amount of pencil each student have = 18

Then, the total number of pencils altogether,

= 152 × 18

= 2,736 pencils.

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Since these two triangles are similar, that means all their side lengths are proportional:

  \(\frac{SR}{ST} =\frac{CB}{CD} \\\frac{11x-4}{70} =\frac{60}{50} \\550x-200=4200\\550x = 4400\\x = 8\\\)

Hope that helped!

The standard deviation is 0.0692 and it means that on average, the sample statistic (X-bar) differs from the true population mean (mu) is 0.0692.

Given, In a recent poll, 46% of respondents claimed they would vote for the incumbent governor.

Assuming this is the true proportion of voters that would vote for the incumbent.

Let X be the number of people out of 50 that would vote for the incumbent.

We know that the standard deviation of the sampling distribution of X is:

σ = sqrt [p (1 - p) / n]

Where: p = proportion of success in the population,

n = size of the sample

σ = sqrt [0.46(1 - 0.46) / 50]

σ = sqrt [0.24 / 50]σ = sqrt [0.0048]

σ = 0.0692

Standard deviation of the sampling distribution of X is 0.0692.

It means that on average, the sample statistic (X-bar) differs from the true population mean (mu) is 0.0692.

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Answer:

H-15=46

Step-by-step explanation:

height - 15= 46

Greg height is 46 + 15 = 61

Answer:

less than

Step-by-step explanation:

The standard deviation of set A is 0, and the standard deviation of B is about 1.8, so B is higher.

To do standard deviation, you first have to find the mean.

For B the mean is 7.

Then you subtract the mean from each number.

For B the data set is: -2, -2, 0, 2, 2

Then you square each number

4,4,0,4,4

Then you calculate the variance (basically the mean).

The mean of B is 3.2

Then you take the square root of 3.2, which is about 1.8.

If you do the same thing for A, you will get 0, which means set A is less than set B.

Answer:

497.75

Step-by-step explanation:

8.25% of 460 = 39.75

Therefore, 460 + 39.75 = 497.75

Answer:

The tax is 37.95

Step-by-step explanation:

Take the cost of the radio and multiply by 8.25%

460 * .0825

37.95

The tax is 37.95