Answer:
The equation that makes the most sense to solve with the Zero Product Property is x^2+9x+6=0.
Step-by-step explanation:
Consider the function g(x)=−(x+1)3−2.
Which ordered pair lies on the inverse of the function?
The ordered pair that lies on the inverse of the function is (6, -3)
Which ordered pair lies on the inverse of the function?From the question, we have the following parameters that can be used in our computation:
g(x)=−(x+1)3−2.
Rewrite as
g(x) = −(x + 1)³ − 2
Next, we test the options
Set x = -3
So, we have the following representation
g(-3) = −(-3 + 1)³ − 2
Evaluate the expression
g(-3) = 6
As an ordered pair, we have (6, -3)
So, the ordered pair of the inverse is (6, -3)
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PLEASE HELP ASAP
Proving triangles similar
The triangles are similar by the SAS(side–angle–side) criteria for triangle similarities.
What is the SAS criteria for triangle similaritiesThe SAS(side–angle–side) criterion for triangle similarity states that If the two sides of a triangle are in the same proportion of the two sides of another triangle, and the angle inscribed by the two sides in both the triangle are equal, then two triangles are said to be similar.
Observing the triangles, if the ratio of side lengths 24 and 120 is equal to that of 14 and (14 + 56), then the angles inscribed by the two sides are in both triangles are equal.
24 : 120 = 24/120
24 : 120 = 1/5
24 : 120 = 1: 5
14 : 70 = 14/70
14 : 70 = 1/5
14 : 70 = 1 : 5
In conclusion, the triangles are similar by the SAS(side–angle–side) criteria for triangle similarities
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Help write an expression that represent the voltage
On solving the provided question, we can say that the equation, we have is [tex]t^2 +5t +6.[/tex]
Which equation is this?Two assertions in a mathematical equation are joined by the equal sign (=), which stands for equality. A mathematical statement that establishes the equality of two mathematical expressions is known as an equation in algebra. For instance, in the equation 3x + 5 = 14, the equal sign places a space between the variables 3x + 5 and 14. The connection between the two sentences on either side of a letter is explained by a mathematical formula. Typically, there is only one variable, which also serves as the symbol. In this case, 2x4=2.
the equation, we have is V = P/I
[tex]V = \frac{t^3 +9t^2 +26t +24}{t + 4}[/tex]
on dividing
the answer will be [tex]x^3+9x^2+26x +24=t^2 + 5t + 6[/tex]
x = -4
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any probability statement involving a normal random variable can be converted to an equivalent statement involving a standard normal random variable through the process of
Any probability statement involving a normal random variable can be converted to an equivalent statement involving a standard normal random variable through the process of standardization.
Standardization is converting a normal random variable, X, to a standard normal random variable, Z, by subtracting its mean, μ, and dividing by its standard deviation, σ. The formula for standardization is given:
Z = (X - μ) / σ
Once a normal random variable has been standardized, it is easier to find probabilities because the standard normal distribution is well-known and widely used in statistical analysis. For example, if X is normally distributed with mean μ and standard deviation σ, the probability of X being between two values a and b can be found using the cumulative distribution function (CDF) of the standard normal distribution.
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Pls help 20 points hurry plssss I’m begging u
Answer:
Step-by-step explanation:
1. B
2.D
3.2
4.A,C,D
Answer:
1=b
Step-by-step explanation:
go to the comments for other answers
Since the equation for both triangles have a2+b2, you can think of two equations for c2 and n2 as in a system of equations. Substitute what a2+b2 equals for the first equation for a2+ b2 give me second equation. After you substitute what equation do you get
The equation by substituting first equation in the second equation:
[tex]n^2 - c^2 =0[/tex]
Triangle:A triangle is a three-sided polygon, which has three vertices. The three sides are connected with each other end to end at a point, which forms the angles of the triangle. The sum of all three angles of the triangle is equal to 180 degrees.
The equation for both triangles have :
[tex]c^2 = a^2 + b^2\\n^2 = a^2 + b^2[/tex]
To write the equation by substituting first equation in the second equation.
Now consider,
[tex]c^2 = a^2 + b^2-------(1)\\n^2 = a^2 + b^2-------(2)[/tex]
Now, Plug the value of equation(2) in (1), we get
[tex]n^2 = c^2[/tex]
[tex]n^2 - c^2 =0[/tex]
Hence, the equation by substituting first equation in the second equation:
[tex]n^2 - c^2 =0[/tex]
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An expression to determine the growth rate of a cell is written as 3(1. 25)/5. What would be an approximate form of this expression for all values of t?
3(0. 25)
O 3(1. 05)'
O 3. 05
O 3. 14
Option A is the correct option
So, the approximate form of the expression for all values of t is 0.75.
The expression 3(1.25)/5 can be simplified to
3/5 * 1.25
= 0.75.
=3(0.25)
An expression, often known as a mathematical expression, is a finite collection of symbols that are well-formed in accordance with context-dependent principles.
Term is defined as a constant, a single variable, or a mixture of variables and constants multiplied or divided. Algebra Expression Example: 3x + 9, 5x + 10
To simplify simply is to make anything easier. In mathematics, simplifying an equation, fraction, or problem means taking it and making it simpler. Calculations and problem-solving techniques simplify the issue.
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Please answer the table
Answer:
*diameter=radius ×2
6cm×2=12cm
*diameter=10 ×2=30cm
*radius=diameter÷2
140cm÷2=70cm
*radius
250cm÷2=125cm
*diameter
2.5m×2=5m
*radius
3.6m÷2=1.8m
a tank contains 1000 l of brine with 15 kg of dissolved salt. pure water enters the tank at a rate of 10 lymin. the solution is kept thoroughly mixed and drains from the tank at the same rate. how much salt is in the tank (a) after t minutes and (b) after 20 minutes?
The salt is in the tank (a) after t minutes is 20 minutes and (b) after 20 minutes there are 150 kg of salt.
Salt in Brine Tank CalculationLet's call the amount of salt in the tank after t minutes "S(t)".Since pure water is entering the tank and brine is leaving at the same rate, the volume of the solution in the tank remains constant at 1000 liters.However, the concentration of salt in the solution is changing over time. At any given time, the amount of salt in the tank can be found by multiplying the volume of the solution by its concentration, which we can call "C(t)".So, we have:S(t) = C(t) * 1000
The rate of change of salt in the tank is equal to the rate at which salt is entering the tank (from the dissolved salt in the brine that is leaving the tank) minus the rate at which salt is leaving the tank (from the brine that is leaving).dS(t)/dt = (C(0) - C(t)) * 10
where C(0) is the initial concentration of salt in the
brine (15 kg / 1000 liters = 0.015 kg/liter).
We can solve this differential equation to find the concentration of salt in the tank as a function of time. However, this can be a bit complicated, so let's just consider the answer for the specific times asked:(a) After 20 minutes, we have:C(20) = C(0) - (S(20) / 1000 - S(0)) / 10
= 0.015 - (S(20) / 1000) / 10
And (b) the amount of salt in the tank after 20 minutes is:S(20) = C(20) * 1000
Plugging in the value of C(20) from part (a), we get:S(20) = (0.015 - S(20) / 1000 / 10) * 1000
S(20) = 15 - S(20) / 10
S(20) = 150
So, after 20 minutes, there are 150 kg of salt in the tank.Learn more about Salt in Brine Tank Calculation here:
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8TH GRADE MATH HELP ASAP
RSTU and VXYZ are quadrilaterals. Given RSTU and VXYZ , describe a sequence of rigid motions followed by a dilation with center (0,0) that maps RSTU to VXYZ
stem-and-leaf displays can be used to multiple select question. observe individual data points. analyze qualitative data. determine central tendency and dispersion. analyze the shape of the data.
A stem-and-leaf display is a statistical tool used for organizing and displaying data.
It is especially useful for analyzing small data sets and can be used for a variety of purposes. With stem-and-leaf displays, individual data points can be easily observed and analyzed, which is particularly useful for answering multiple-choice questions.
Additionally, stem-and-leaf displays can be used to analyze qualitative data by observing patterns and relationships between data points. By determining the central tendency and dispersion of the data, a stem-and-leaf display can help to provide a clearer understanding of the data set as a whole.
Furthermore, the shape of the data can be analyzed through the use of a stem-and-leaf display, which can be helpful in identifying outliers and skewness. In conclusion, stem-and-leaf displays are a useful tool for organizing and analyzing data and can provide valuable insights into data sets.
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[tex](x^(2)-xy)/(9y^(2))/(2x)/(3y)[/tex]
The given expression [tex]$\frac{\frac{(x^{2} -xy)}{9y^{2} } }{\frac{2x}{3y} }[/tex]is equivalent to (x - y)/18y².
What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is the expression as -
[tex]$\frac{\frac{(x^{2} -xy)}{9y^{2} } }{\frac{2x}{3y} }[/tex]
The given expression is -
[tex]$\frac{\frac{(x^{2} -xy)}{9y^{2} } }{\frac{2x}{3y} }[/tex]
We can solve further as -
{(x² - xy)/9y²} x {3y/2x}
{x(x - y)/9y²} x {3y/2x}
(x - y)/18y²
Therefore, the given expression [tex]$\frac{\frac{(x^{2} -xy)}{9y^{2} } }{\frac{2x}{3y} }[/tex]is equivalent to (x - y)/18y².
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one fruit punch has fruit juice and another is fruit juice. how much of the punch should be mixed with of the punch to create fruit punch that is fruit juice?
The below calculation allows us to determine the amount of fruit juice and punch needed to create a fruit punch that is entirely fruit juice.
To create a fruit punch that is entirely fruit juice, we must calculate the ratio of fruit juice to total punch. To do this, we will use the following formula:
Fruit Juice Ratio = (Fruit Juice / (Fruit Juice + Punch)) x 100
For example, if we have 10 ounces of fruit juice and 10 ounces of fruit punch, the ratio of fruit juice to total punch is 50%. Therefore, we need to mix 50% fruit juice with 50% punch to create a fruit punch that is entirely fruit juice.
To calculate this for any given amount of fruit juice and punch, we simply plug the numbers into the formula. For instance, if we have 20 ounces of fruit juice and 60 ounces of punch, the ratio of fruit juice to total punch is 25%. Therefore, we need to mix 25% fruit juice with 75% punch to create a fruit punch that is entirely fruit juice.
By using this formula, we can easily determine the amount of fruit juice and punch needed to create a fruit punch that is entirely fruit juice.
We can use the formula Fruit Juice Ratio = (Fruit Juice / (Fruit Juice + Punch)) x 100 to calculate the ratio of fruit juice to total punch. This allows us to determine the amount of fruit juice and punch needed to create a fruit punch that is entirely fruit juice.
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ermias can paint a room in 8 hours. manuel can paint the same room in 6 hours. how long does it take for ermias and manuel to paint the room if they are working together?
It takes Ermias and Manuel 3.43 hours to paint the room if they are working together. To find the time it takes for Ermias and Manuel to paint the room together, we can use the formula: 1/rate = time.
The rate is the combined painting rate of both workers, which is equal to the sum of their individual painting rates.
Let's call the time it takes for Ermias and Manuel to paint the room together "T". The combined painting rate of both workers is then 1/T.
The individual painting rates of Ermias and Manuel are 1/8 hours per room and 1/6 hours per room, respectively. Therefore, their combined painting rate is 1/8 + 1/6 = 6/48 + 8/48 = 14/48 hours per room.
Now we can use the formula 1/rate = time to find T:
1/ (14/48) = T
48/14 = T
T = 3.43 hours
So it takes Ermias and Manuel 3.43 hours to paint the room if they are working together.
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Which fee pays for services such as a credit score check, an attorney, and a notary?
Typically, these services are covered by closing costs associated with a real estate transaction. Closing costs are fees charged by various parties involved in the home-buying process and can include the cost of a credit score check, attorney fees, and notary fees.
A credit score check is often required by a lender as part of the mortgage approval process, and the fee for this service can be included in the closing costs. The fee for an attorney can also be included in closing costs, especially if the attorney is hired to review and explain the closing documents. An attorney can also represent the buyer or the seller during the closing process and advise them of their rights and obligations.
A notary is typically required to witness the signing of legal documents, such as the mortgage or deed, and a notary fee can also be included in the closing costs. The exact amount of each of these fees can vary, and it's common for buyers to receive an estimate of their total closing costs from their lender prior to closing.
It's important to note that closing costs are separate from the down payment and can add several thousands of dollars to the overall cost of buying a home, so it's a good idea for buyers to carefully review their closing cost estimate and understand what each fee covers.
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Describe what moves you could use to create
the transformation of the original image shown
below.
original
Answer:
Reflection , Reflection
Step-by-step explanation:
when the triangle reflects off the x axis and then reflects along the y axis.
Where is the hole for the following function located?
f (x) = StartFraction x + 3 Over (x minus 4) (x + 3) EndFraction
x = –3
y = –3
x = 3
y = 3
The hole of f(x) is x = -3.
Option A is the correct answer.
What is a function?A function is a relationship between inputs where each input is related to exactly one output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
f(x) = (x + 3) / (x - 4)(x + 3)
Now,
We see that there is a common factor both in the numerator and the denominator.
This means,
There is a hole in f(x).
i.e
x + 3 = 0
x = -3 is the hole.
Thus,
x = -3 is the hole of f(x).
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Answer: x = -3
Step-by-step explanation:
correct on edge :)
Question 6
10 pts
During a football play, Odell Beckham Jr. Runs a straight route 40 yards up the sideline before
turning around and catching a pass thrown by Eli Manning. On the opposing team, a
defender who started 20 yards across the field from Beckham saw the play setup and ran a
slant towards Beckham What was the distance the defender had to run to get to the spot
where Beckham caught the ball?
The distance the defender had to run to get to the spot where Beckham caught the ball is 34.6 yards.
Let's call the distance the defender had to run to get to the spot where Beckham caught the ball "d".
Since the defender was running aslant towards Beckham, we can use the Pythagorean theorem to find the distance he had to run. The theorem states that in a right triangle, the sum of the squares of the two smaller sides is equal to the square of the hypotenuse (the longest side).
If we call the sideline 40 yards, we can set up the equation as follows:
d² + 20² = 40²
Expanding and simplifying:
d² + 400 = 1600
d² = 1600 - 400 = 1200
d = √(1200)
= √(300 * 4)
= √(300) * √(4)
= √(300) * 2
= 10 √(3) * 2
= 20 √3
Rounding to the nearest tenth, we have:
d ≈ 34.6 yards
So, the defender had to run approximately 34.6 yards to get to the spot where Beckham caught the ball.
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A chemistry class has learned how to read a sensitive high-caliber balance scale (this is not a digital scale). Since most students are very good at reading the scale, the instructor decides it’s time to test their skills. The instructor asks each student to weigh the same 1. 6 ounce bag of Peanut M&Ms, and then records each student’s reading of the balance scale. Which histogram shows the distribution of the students’ balance-scale readings?
a. Histogram I
b. Histogram II
c. Histogram III
d. Histogram IV
The Histogram shows the distribution of the students’ balance-scale readings is Histogram II.
The distribution of numerical data is roughly shown by a histogram. Karl Pearson was the one who initially coined the phrase. The first stage in creating a histogram is to "bin" (or "bucket") the range of values, or split it into a series of intervals, and then count the number of values that fall into each interval.
The bins are often defined as a series of discrete intervals that don't overlap. The bins (intervals) must be close together and frequently, but not always, have the same size.
When the mean and median are equal, a histogram is said to be symmetrical. A symmetric histogram will be split into two equal halves if we draw a line through its centre. The two parts will be exact replicas of one another.
Therefore, The Histogram shows the distribution of the students’ balance-scale readings is Histogram II.
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There are 3 right triangles in the drawing below. They are all similar. Chose the correct
similarity statement.
The correct similarity of the triangles are JMK ~ LMK ~ JLM (option D)
What is similarity?Two figures are considered to be "similar figures" if they have the same shape, congruent corresponding angles and equal scale factors. Equal scale factors mean that the lengths of their corresponding sides have a matching ratio.
Given that, there are 3 right triangles in the drawing given. They are all similar. we need to identify the correct similarity,
So, from the figure, if we separate each triangle,
We will get,
Triangles JLM, JMK and LMK
If we check,
They are showing true similarity by their figure (refer to diagram attached)
Hence, the correct similarity of the triangles are JMK ~ LMK ~ JLM (correct option is D)
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1/√4+√5 + 1/√5+√6 + 1/√6+√7 + 1/√7+√8 + 1/√8+√9 =1
Hello,
Answer:
We can start by rationalizing the denominators of each fraction.
For the first fraction, we multiply the numerator and denominator by the conjugate of the denominator, which is √4 - √5:
1/√4+√5 = 1/√4+√5 × (√4 - √5)/(√4 - √5)
= (√4 - √5)/(4 - 5)
= (√4 - √5)/(-1)
For the second fraction, we multiply the numerator and denominator by √5 - √6:
1/√5+√6 = 1/√5+√6 × (√5 - √6)/(√5 - √6)
= (√5 - √6)/(5 - 6)
= (√5 - √6)/(-1)
We can do the same for the remaining fractions:
1/√6+√7 = (√6 - √7)/(-1)
1/√7+√8 = (√7 - √8)/(-1)
1/√8+√9 = (√8 - √9)/(-1)
Now we can simplify the expression:
1/√4+√5 + 1/√5+√6 + 1/√6+√7 + 1/√7+√8 + 1/√8+√9
= (√4 - √5)/(-1) + (√5 - √6)/(-1) + (√6 - √7)/(-1) + (√7 - √8)/(-1) + (√8 - √9)/(-1)
= (√4 - √5 + √5 - √6 + √6 - √7 + √7 - √8 + √8 - √9)/(-1)
= (√4 - √9)/(-1)
= √9 - √4
= 3 - 2
= 1
Therefore, the expression simplifies to 1, which is equal to the right-hand side of the equation.
Good luck
In the coordinate plane A CDE is translated 3 units right and 2 units down.
Answer: (3, 1)
Step-by-step explanation:
point D is at (0,3) if it is translated 3 units to the right and 2 units down that means the x value will be added by 3 and the y value will be subtracted by 2
0+3 = 3; 3-2 = 1
D' is at (3,1)
naruto practices his harmonica 1/4 hour, spends 2/3 hour working on homework and takes another 1/2 hour to do chores everyday. how much longer does naruto spend practicing his harmonica and doing his chores than working on homework?
(1/4 + 1/2) - 2/3
the circumference of a circular pond is 44cm.What is the diameter of the fish pond?
if rooms revenue is $75,884 and the total number of rooms sold is 662, then the average daily rate is: group of answer choices $114.63 $125.00 $118.75 $136.50
The average daily rate is calculated by dividing the total rooms revenue by the total number of rooms sold. In this case, the average daily rate is (option) $114.63.
The average daily rate is a measure of the average amount of money that a hotel is able to generate per room per day. It is calculated by dividing the total rooms revenue by the total number of rooms sold. In this case, the total rooms' revenue was $75,884 and the total number of rooms sold was 662, which gives us an average daily rate of $114.63. This is a useful measure for hotels to gauge the performance of their business and to set pricing accordingly. It also helps hotels identify opportunities for increasing revenue, such as offering discounts or promotions to attract more customers.
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PIC BELOW
PLEASE HELP!! ITS JUST FINDING THE AREA!
Answer question one please
What is the mean and standard deviation of the random variable Y (the number of females out of 40 who are color blind)? Answers may be rounded.
mean= 40, standard deviation=.01
mean =.01, standard deviation = 40
mean =0.4, standard deviation = .629
mean = 0.4, standard deviation = .396
We cannot find the mean and standard deviation since the probability distribution table is not given.
Mean = μ = 0.40
Standard deviation = σ = 0.015
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Female colorblindness proportion = 1%
Male colorblindness proportion = 8%
Female sample size = 40
Male sample size = 20
Hence, We get;
Let us check if the condition np ≥ 10 is satisfied or not,
⇒ np
⇒ 40 × 0.01
⇒ 0.4 < 10
Since, the condition np ≥ 10 is not satisfied the binomial random variable cannot be well approximated by a normal random variable. A larger sample size would be required to satisfy the condition np ≥ 10.
Hence, The mean is,
μ = np
μ = 40*0.01
μ = 0.40
And, The standard deviation is,
σ = √p(1 - p)/n
σ = √0.01(1 - 0.01)/40
σ = 0.015
Thus, We get;
Mean = μ = 0.40
Standard deviation = σ = 0.015
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What's the lateral area of the drawing
A. 284m²
B. 232m²
C. 294m²
D. 588m²
294 cm² is the lateral area of the drawing .
Describe Area?
The region that an object's shape defines as its area. The area of a figure or any other two-dimensional geometric shape in a plane is how much space it occupies. Area is the amount of surface a two-dimensional shape can cover, measured in square units. The SI unit of area is the square meter (m2), which is a derived unit.
the lateral surface are square of each side .
= 7 cm
lateral area = 6 * (7)² = 294 cm²
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A graduated cylinder that is 24 cm tall can hold 1 L of water.What is the radius of the cylinder?What is the height of the 500 ml mark? The 250 ml mark?Recall that 1 liter(L) is equal to 1,000 milililiters (ml) nad that 1 liter (L) is equal to 1,000 cm cubed.
The radius of the cylinder will be equal to 112.8 cm.
What is volume?The capacity of an object is measured by its volume. For instance, a cup's volume is said to be 100 ml if it can hold 100 ml of water in its brim. The amount of space occupied by a three-dimensional object can also be used to define volume.
Given that a graduated cylinder that is 24 cm tall can hold 1 L of water. The radius of the cylinder will be calculated as:-
Volume = 1 L
Volume = 1000000 cm³
πr²l = 1000000 cm³
r² = ( 1000000 / π x 25 )
r² = 12732.4
r = √12732.4
r = 112.8 cm
Therefore, the radius of the cylinder will be 112.8 cm.
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24 is what percent of 15
30% of what is 12
80% of what is 160
Answer:
1.) 160
2.) 40
3.) 200
Step-by-step explanation:
Hoped this helped! =)