A square has a area of 63 square inches. What is the length of a side of the square, in inches?

Answer:

To factor 9x^3 + 36x^2 - x - 4, we can use the grouping method:

9x^3 + 36x^2 - x - 4

= (9x^3 - x) + (36x^2 - 4)

= x(9x^2 - 1) + 4(9x^2 - 1)

= (9x^2 - 1)(x + 4)

Therefore, the factored form of 9x^3 + 36x^2 - x - 4 is (9x^2 - 1)(x + 4).

The value of g(x) = x^2 + 4x depends on the value of x.

If, for example, x = 2, then:

g(2) = 2^2 + 4(2) = 4 + 8 = 12

If x = -3, then:

g(-3) = (-3)^2 + 4(-3) = 9 - 12 = -3

In general, we can evaluate g(x) for any value of x by substituting that value into the expression x^2 + 4x.

The length of the given line AB is 6 units and the polygon ABCDEF has been created.

A graph is a mathematical structure made up of a collection of points called VERTICES and a set of lines connecting some pair of VERTICES that may or may not be empty.

There is a chance that the edges will be directed, or orientated.

If the lines are directed or undirected, respectively, they are referred to as ARCS or EDGES.

Make a sequence of bars on graph paper as an example of a graph.

So, in the given situation the polygon ABCDEF has been created:

(Refer to the graph attached below)

Now, the length of the side AB:

Count the units as follows which comes to 6 units.

Therefore, the length of the given line AB is 6 units and the polygon ABCDEF has been created.

Know more about the graph here:

https://brainly.com/question/19040584

#SPJ1

Correct question:

Help Here is your graph of the points on the previous screen.

Connect the points in order to create polygon `ABCDEF`.

1.2 Enter the length of the segment between A and B.

Lee needs to score a total of 26 points in the next game to increase his mean score to 13 points.

Given that

Scores = 12,14,14,15,8,10,3,15

To increase his mean score to 13 points,

Lee needs to have a total of 13 x 9 = 117 points after the next game.

He has already scored a total of 12+14+14+15+8+10+3+15 = 91 points in the first 8 games.

Therefore, Lee needs to score a total of 117 - 91 = 26 points in the next game to increase his mean score to 13 points.

Read more about mean at

https://brainly.com/question/14532771

#SPJ1

There are 23 quarters and 29 dimes in the bag.

Let's denote the number of quarters as "q" and the number of dimes as "d".

We can set up a system of two equations based on the given information:

The total number of coins is 52:

q + d = 52

The total value of the coins is $8.35, where each quarter is worth $0.25 and each dime is worth $0.10:

0.25q + 0.10d = 8.35

To solve this system of equations, we can use substitution, elimination, or any other appropriate method.

Let's use elimination to solve this system of equations.

0.10(q + d) = 0.10(52)

25q + 10d = 835

25q + 10d = 835

0.25q + 0.10d = 8.35 (multiply by 100)

Now, let's multiply both sides of the first equation by 2 and the second equation by 8 to make the coefficients of "q" the same:

50q + 20d = 1670

200q + 80d = 6680

Now, let's subtract the first equation from the second equation to eliminate "q":

200q + 80d - (50q + 20d) = 6680 - 1670

150q + 60d = 5010

Now, let's divide both sides of the resulting equation by 30 to solve for "q":

150q/30 + 60d/30 = 5010/30

5q + 2d = 167

After trying different values, we find that when "q" = 23 and "d" = 29, the equation is satisfied and the condition "q + d = 52" is also satisfied. Therefore, there are 23 quarters and 29 dimes in the bag.

Read more about bag

brainly.com/question/29419188

#SPJ1

The value of x is 11 and the measure of the supplementary angle m∠N is equal to 143°. That is:

a. equation:37° + 3x = 180°

b. x = 11, m∠M = 37°, m∠N = 143°

Supplementary angles are a pair of angles that add up to 180 degrees. In other words, if you have two angles that are adjacent (share a common vertex and side) and their measures add up to 180 degrees, then they are supplementary angles.

Given that m∠M and m∠N are supplementary then:

37° + 3x = 180°

3x = 180° - 37° {collect like terms}

3x = 143°

x = 143/3 {divide through by 3}

x = 11

m∠N = 3(11) = 143°.

Therefore, the value of x is 11 and the measure of the supplementary angle m∠N is equal to 143°.

Read more about supplementary angle here:https://brainly.com/question/12919120

#SPJ1

Hence, three pounds of ice cream contain 1968 calories as we can apply a ratio to determine how many calories are contained in 3 pounds .

Researchers utilise a method called the unitary approach to tackle proportional issues. It entails identifying a single product value that can be utilized to calculate the values of connected units. The method is predicated on the notion that if the value of one unit of even a quantity is known, then the value of any further unit of the same quantity can be determined. It is frequently employed in the computation of costs, rates, and dimensions.

given

Let's begin by converting 5 ounces to pounds:

A pound weighs 16 ounces.

5 ounces equals 5/16 pounds.

So, we can apply a ratio to determine how many calories are contained in 3 pounds:

(3 pounds/x calories)/5/16 pounds/410 calories

After finding x, we obtain:

3 pounds * 410 calories divided by 5/16 pounds equals 1968 calories.

Hence, three pounds of ice cream contain 1968 calories as we can apply a ratio to determine how many calories are contained in 3 pounds.

To know more about unitary method visit:

https://brainly.com/question/28276953

#SPJ1

Answer:

see the images and explanation

Step-by-step explanation:

for the graph:

the domain 0 < x < 5

the range for each functions:

g(x) = 2x + 1

g(x) = y  ,   1 < y < 11

h(x) = 2x + 2 ,  2 < y < 12

Answer:

B

Step-by-step explanation:

The value of 0.6 is greater than the value of 0.39 because 0.6 represents a larger proportion or fraction of a whole than 0.39 does.

To compare these two values, we can think of them as parts of a whole. For example, we can consider 0.6 as 60% of a whole and 0.39 as 39% of the same whole. When we compare 60% and 39%, it is clear that 60% is greater than 39%.

Another way to compare these two values is to convert them to fractions. 0.6 can be written as 6/10 or 3/5, while 0.39 can be written as 39/100.

When we compare 6/10 and 39/100, we can see that 6/10 is greater than 39/100 because 6/10 represents 6 parts out of 10, while 39/100 represents 39 parts out of 100.

Therefore, we can conclude that the value of 0.6 is greater than the value of 0.39 because it represents a larger proportion or fraction of a whole.

Increasing the shortening in the French bread formula to 7% would result in a softer and more tender crumb due to the added fat.

French bread is typically made with a small amount of fat, such as butter or oil, to enhance its flavor and texture. However, increasing the shortening to 7% would significantly increase the amount of fat in the formula, which would have several effects on the final product.

Firstly, the added fat would make the dough more extensible, resulting in a softer and more tender crumb. This is because the fat coats the gluten strands in the dough, reducing their ability to form a strong network and resulting in a more open and airy crumb.

Additionally, the added fat would also make the crust softer and less crispy. This is because the fat prevents the crust from drying out and developing a hard, crispy texture.

Learn more about french bread

https://brainly.com/question/8613013

#SPJ4

Answer: Sarah bought 5 first class tickets and (13-5) = 8 coach tickets.

Step-by-step explanation: The taken a toll of one to begin with lesson ticket is $1200 and the fetched of one coach ticket is $380.

So, the full taken a toll of first class tickets would be 1200x and the entire cost of coach tickets would be 380(13-x) = 4940 - 380x.

The overall fetched of the tickets is given as $9040, so we will set up the taking after condition:

1200x + 4940 - 380x = 9040

Streamlining and tackling for x, we get:

820x = 4100

x = 5

Answer:

first answer is correct

y = -1/2 x^2 + x + 1

Step-by-step explanation:

based on the graph, you can find two points

(2,1) and (0,1)

I input (2, 1) to each equation to check

y = -1/2 x^2 + x + 1 is correct

Answer:

A mean of 27.2 shows that the data values are relatively close together. It represents that typically the city's snowfall has been about 27.2 inches yearly over the last 5 years.

Step-by-step explanation:

The mean, also known as the average, is the sum of all the data values divided by the number of data points. In this case, the mean of 27.2 inches indicates that, on average, the city has experienced a snowfall of approximately 27.2 inches per year over the last 5 years. The fact that the mean is close to the individual values of 25, 27, 25, 29, and 30 inches suggests that the data points are relatively close together and do not deviate significantly from the mean, indicating that the snowfall in the city has been relatively consistent over the past 5 years.

There are 16 possible move sequences for the frog.

The possible moves that the frog can make.

The frog can move to either the closest point with a greater integer coordinate that is a multiple of 3, or to the closest point with a greater integer coordinate that is a multiple of 13.
Let's consider the first type of move, where the frog moves to the closest point with a greater integer coordinate that is a multiple of 3.

If the frog is at the point [tex]$n$[/tex], then the closest point with a greater integer coordinate that is a multiple of 3 is either [tex]$n+3$ or $n+6$[/tex].

Similarly, if the frog is at the point [tex]$n$[/tex] and wants to move to a multiple of 13, then the closest point with a greater integer coordinate that is a multiple of 13 is either[tex]$n+13$[/tex] or [tex]$n+26$[/tex].
Constructing move sequences.

The sequence starts with 0 and ends with 39.

The frog has two choices for its first move: either move to 3 or move to 13.

Let's assume that the frog moves to 3.

From there, the frog has two choices again:

move to 6 or move to 13. If the frog moves to 6, then it has two choices again: move to 9 or move to 13.

If it moves to 13, then it has two choices: move to 26 or move to 16.

We can continue this process until we reach 39.
We can create a tree diagram to help us keep track of the possible move sequences:
                            0
                             |
                        3 or 13
                      /            \
                6 or 13       13 or 26
                  /       \       /        \
             9        13     16         26
            / \        / \    / \           / \
          ... ...     ... ... ... ...         ... ...
Each branch represents a different move sequence.

We can see that there are 16 possible move sequences in total.

We can also see that some sequences are longer than others.

The longest sequence has 7 moves, while the shortest sequence has only 2 moves.

For similar questions on sequences

https://brainly.com/question/7882626

#SPJ11

For a normal distribution ,a positive value of z simply means that the observation or sample mean is above the population mean this implies

none of the options provided is completely accurate.

All the observations must have had positive values,

It is not necessarily true for a positive value of z.

The value of z indicates how many standard deviations away from the mean a particular observation or sample mean is.

A positive value of z simply means that the observation or sample mean is above the population mean.

The area corresponding to the z is either positive or negative,

It is also not accurate.

The area under the normal curve corresponds to probabilities, not positive or negative values.

The area to the right of the mean corresponds to positive z-values, and the area to the left of the mean corresponds to negative z-values.

The sample mean is smaller than the population mean,

It is a possibility when the z-value is negative, indicating that the sample mean is below the population mean.

The sample mean is larger than the population mean,

It is a possibility when the z-value is positive, indicating that the sample mean is above the population mean.

Therefore, the sample mean can be either larger or smaller than the population mean depending on the direction of the z-value.

Learn more about population mean here

brainly.com/question/29064364

#SPJ4

The total distance Brown family drove this morning at the speed of  65 miles per hour in 2.5 hours is equal to 162.5 miles.

Let 's' represents the speed of the moving object.

And 't' represents the time to cover distance.

The speed was 65 miles per hour.

And the time they drove was 2.5 hours.

The distance the Brown family drove this morning

=  Multiplying their speed by the time they drove.

This implies,

distance = speed x time

Substitute the values we have,

The distance they drove this morning is equal to,

⇒ distance = 65 miles per hour x 2.5 hours

⇒ distance = 162.5 miles

Therefore, the distance drove by Brown family this morning is 162.5 miles at the speed of 65 miles per hour.

learn more about speed here

brainly.com/question/29801696

#SPJ4

Answer: i dont know if this is right but i put a^4+b^4=c^4

Step-by-step explanation:

I have no idea tho

Answer:

The answer is 7x(5-2y)

Step-by-step explanation:

35x-14xy

7x(5-2y)

the error made is the x in the bracket

If rosanne makes 112 liters of strawberry lemonade, she pours 14 of a liter of lemonade into a thermos to take to the park, rosanne's brother drink 25 liters of lemonade

To solve this problem, we can start by subtracting the 14 liters of lemonade that Rosanne poured into the thermos from the total 112 liters to get the amount of lemonade that remained:

112 - 14 = 98 liters

Next, we need to subtract the amount of lemonade that Rosanne's brother drank, which is 25 liters, from the remaining amount:

98 - 25 = 73 liters

Therefore, Rosanne's brother drank 25 liters of lemonade.

To check our answer, we can add the amount of lemonade in the thermos, the amount that Rosanne's brother drank, and the remaining amount to see if it adds up to the original 112 liters:

14 + 25 + 73 = 112

Since the sum is indeed equal to 112, we can be confident that our answer of 25 liters for the amount of lemonade that Rosanne's brother drank is correct.

In summary, to find the amount of lemonade that Rosanne's brother drank, we subtracted the amount that Rosanne poured into the thermos and the amount that her brother drank from the total amount of lemonade that Rosanne made. The answer is 25 liters.

To learn more about quantity click on,

https://brainly.com/question/29108702

#SPJ4

Answer:

Jaxon made 11 free throws over the season.

Step-by-step explanation:

If he made 5% of his free throws, we know that he will make 5% of the total number of free throws he took, which is 220:

We multiply 220 by 0.05, or 5% to find out how many free throws he made:

220*0.05 = 11

After that, we now know that Jaxon made 11 of his free throws out of 220 over the course of the season, or 5%.

the probability that none of the outcomes is an even number is 1/8 or approximately 0.125

The probability of rolling an even number on a fair six-sided die is 3/6 or 1/2, and the probability of rolling an odd number is also 1/2.

To find the probability that none of the outcomes is an even number, we need to calculate the probability of rolling an odd number on all three dice. Since the dice are rolled independently, we can multiply the probabilities together to get the overall probability:

P(rolling odd on one die) = [tex]1/2[/tex]

P(rolling odd on two dice) = [tex](1/2)^2 = 1/4[/tex]

P(rolling odd on three dice) =[tex](1/2)^3 = 1/8[/tex]

for such more questions on probability

https://brainly.com/question/24756209

#SPJ11

Answer:

Perimeter:

[tex]2( \frac{2}{3} + \frac{1}{2} ) = 2( \frac{4}{6} + \frac{3}{6} ) = 2( \frac{7}{6} ) = \frac{7}{3} = 2 \frac{1}{3} [/tex]

The perimeter is 2 1/3 inches.

Area:

[tex] \frac{2}{3} \times \frac{1}{2} = \frac{1}{3} [/tex]

The area is 1/3 of a square inch.

The probability is approximately 0.446 or 44.6%.

Waiting time is exponentially distributed, we can use the cumulative distribution function (CDF) of the exponential distribution to solve this problem.

Let X be the waiting time in minutes.

X is exponentially distributed with a mean of 8 minutes.

The rate parameter λ is equal to 1/8.

The CDF of the exponential distribution is given by:

[tex]F(x) = 1 - e^(-\lambda x)[/tex]

The probability that a patient will see the doctor within eleven minutes of the scheduled time.

The value of F(11) - F(0).

[tex]F(11) = 1 - e^(-\lambda \times 11) = 1 - e^(-11/8)[/tex] ≈ 0.554

[tex]F(0) = 1 - e^(-\lambda \times 0) = 1 - e^0 = 1[/tex]

Therefore, the probability that a randomly selected patient will see the doctor within eleven minutes of the scheduled time is:

F(11) - F(0) ≈ 0.554 - 1 ≈ 0.446

For similar questions on probability

https://brainly.com/question/24756209

#SPJ11

Therefore, if you triple the difference of c and b (which is 2), and then subtract the result from a (which is 10), you get the answer of 4.

The mathematical expression for "triple the difference of c and b, then subtract the result from a" is:

a - 3(c - b)

In this expression, "c" and "b" are variables representing numerical values, and "a" is another variable representing a numerical value.

To evaluate this expression, you would need to substitute specific numerical values for "a", "b", and "c". For example, if a = 10, b = 5, and c = 7, then the expression would become:

10 - 3(7 - 5) = 10 - 6 = 4

Therefore, if you triple the difference of c and b (which is 2), and then subtract the result from a (which is 10), you get the answer of 4.

To know more about subtract, visit:

https://brainly.com/question/1927340

#SPJ1

In linear equation, 3f² + 8f + 16 feet is the length of the fourth side of the room.

What is  linear equation?

An algebraic equation with simply a constant and a first- order( direct) element, similar as y = mx b, where m is the pitch and b is the y- intercept, is known as a linear equation.

                         The below is sometimes appertained to as a" direct equation of two variables," where y and x are the variables. Equations whose variables have a power of one are called direct equations. One illustration with only one variable is where layoff b = 0, where a and b are real values and x is the variable.

= 5f² + 19f + 11 - 6f - 5f + 7 - 2f² - 2

= 3f² + 8f + 16 feet

Learn more about Linear equation

brainly.com/question/11897796

#SPJ1

The expression that represent the length of the fourth side of the room is  [tex]3f^2 + 8f + 16[/tex].

What is  expression ?

Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. Unknown variables, integers, and arithmetic operators are the components of an algebraic expression. There are no symbols for equality or inequality in it.

Here Total length of the room = [tex]5f^2+19f+11[/tex]

Three sides length of the room = 6f , 5f-8 and [tex]2f^2+2[/tex]

Fourth side = Total length - sum of length of three sides

=> [tex]5f^2+19f+11-(6f+5f-7+2f^2+2)[/tex]

=>  [tex]5f^2+ 19f + 11 - 6f - 5f + 7 - 2f^2 - 2[/tex]

=>  [tex]3f^2 + 8f + 16[/tex] .

The expression that represent the length of the fourth side of the room is  [tex]3f^2 + 8f + 16[/tex].

To learn more about expression refer the below link

https://brainly.com/question/112703

#SPJ1

approximately 3.6 milliliters of medication would be needed for this prescription.

To calculate the total milliliters of medication needed for this prescription, we will use the formula dosage × frequency × day supply.

In this case, the dosage is 2 drops per ear, the frequency is twice a day, and the day supply is 9 days.

First, let's find out how many drops are needed per day:
2 drops/ear × 2 ears = 4 drops
Since the frequency is twice a day, multiply this number by 2:
4 drops × 2 = 8 drops per day

Now, multiply the number of drops per day by the day supply (9 days):
8 drops/day × 9 days = 72 drops

Typically, 1 drop is approximately 0.05 millilitres. To find out how many millilitres of medication are needed, multiply the total number of drops by the volume of one drop:

72 drops × 0.05 mL/drop = 3.6 mL

So, approximately 3.6 millilitres of medication would be needed for this prescription.

learn more about formula dosage × frequency × day supply.

https://brainly.com/question/24384235

#SPJ11

Approximately 1.8 milliliters of medication would be needed for this prescription.

To calculate how many milliliters of medication would be needed for this prescription, we need to use the following formula:

dosage × frequency × day supply.
The dosage is 2 drops, the frequency is twice a day, and the day supply is 9 days.
First, we need to convert drops to milliliters.

One drop is equal to approximately 0.05 milliliters.

2 drops would be equal to 0.1 milliliters.
Next, we can plug in the values into the formula:
[tex]0.1 milliliters/drop \times 2 drops/twice a day \times 9 days = 1.8 milliliters. [/tex]

The patient will be using exactly 2 drops in each ear for each dose, and that there will be no waste or spillage of the medication.

To determine how many milliliters of medicine would be required for this prescription:

dose frequency day supply.

The recommended dosage is 2 drops, twice day, with a 9-day supply.

We must first convert droplets to milliliters.

A drop is around 0.05 milliliters in volume. As a result, 2 drops are equivalent to 0.1 milliliters.

The values may then be entered into the formula as follows:

0.1 milliliters each drop times twice daily for nine days equals 1.8 milliliters.

As a result, this prescription would require about 1.8 milliliters of medicine.

It's crucial to note that this estimate is predicated on the patient applying precisely 2 drops to each ear for each dose.

For similar questions on prescription

https://brainly.com/question/29545514

#SPJ11

The part of the statement following "if" is called the antecedent, and the part of the statement following "then" is called the consequent in conditional statements.

The if statement evaluates the test expression inside the parenthesis ().

If the test expression is evaluated to true, statements inside the body of if are executed.

If the test expression is evaluated to false, statements inside the body of if are not executed.

The part of the statement following "if" is called the antecedent, and the part of the statement following "then" is called the consequent in conditional statements.

learn more about conditional statements.

https://brainly.com/question/18152035

#SPJ11

In conditional statements, the part of the statement following 'if' is called the antecedent.

The antecedent is the condition that needs to be true for the consequent to occur.

The consequent is the part of the statement that follows 'then.'

An antecedent is a noun or pronoun that denotes a specific being, place, object, or clause.

It's also referred to as a referent. Without an antecedent, a sentence may be insufficient or nonsensical since it is

required to establish what or to whom a pronoun in a sentence is referring.

In summary, a conditional statement is structured as "if (antecedent) then (consequent)."

for such more question on antecedent

https://brainly.com/question/28416406

#SPJ11

Equation that represents the total number of minutes y Emily studied for the math exam is y = 40 +x.

We can represent the total number of minutes Emily studied for the math exam using the equation,

y = 40 + x

Here, 'y' represents the total number of minutes Emily studied for the math exam, '40' represents the number of minutes she studied in the morning, and 'x' represents the number of minutes she studied later that evening.

By adding the number of minutes studied in the morning to the number of minutes studied later that evening, we can calculate the total number of minutes Emily studied for the math exam.

To learn more about Equation here:

https://brainly.com/question/29147854

#SPJ4

The logical assumption used is: An arithmetic sequence is a set of discrete values, whereas a line is a continuous set of values.

An arithmetic sequence is a set of numbers where, with the exception of the first term, each term is obtained by adding a fixed constant to the term before it. Every pair of following terms in the sequence has the same fixed constant, which is known as the common difference. A1 stands for the first term in an arithmetic sequence, while an is used to represent the nth term.

A solid line symbolises continuous numbers, whereas the classmate's logical presumption is that an arithmetic series comprises of discrete values. This presumption is untrue, though, as a line can effectively represent an arithmetic series.

Learn more about arithmetic sequence here:

https://brainly.com/question/29616017

#SPJ1

The value of both domain and range of this exponential function is (−∞,∞).

y = 2x-9

The domain of the function can be defined as all real numbers except the ones where the expression is undefined. In the case of 2x-9, there is no real number for which this expression is undefined. Therefore, a domain of this exponential function is (−∞,∞).

The range of the function is defined as the set of all valid y values. In this case, all real numbers are valid values of y. Therefore, the range of this exponential function is (−∞,∞).

Therefore, domain of y = 2x-9 is (−∞,∞) and range is also (−∞,∞).

To learn more about domain and range;

https://brainly.com/question/1045262