The value of P(-3) =-191 if the given polynomial function is
P(x) = 6x³-5x² - 4x + 4
What is meant by polynomial?A polynomial is an expression made up of exponents, constants, and variables that are combined using addition, subtraction, multiplication, and division in mathematics, according to the definition of a polynomial. Polynomials are frequently employed in both mathematics and science. For example, they are employed to define polynomial functions, which are present in a range of fields ranging from elementary physics and chemistry to economics and social science. From straightforward word problems to intricate scientific conundrums, polynomial equations are utilized to represent a broad variety of topics. In high mathematics, polynomials are used to build algebraic varieties and polynomial rings, which are essential concepts in algebra and algebraic geometry.
Given,
P(x)= 6x³-5x²-4x+4
P(-3)=6(-3)³-5(-3)²-4(-3)+4
=6(-27)-5(9)+12+4
=-162-45+16
=-191
So, the value of P(-3)= -191
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Point A (-9, -3) is translated 4 left and 2 down. Where is A'?
Answer:
(-13,-5)
Step-by-step explanation:
If you start at the black points and go 4 left and 2 down, you will be at the Red point (-13,-5)
0.09 (100n + 1) = 0.3 (n +9)
Answer:
n = 0.3
Step-by-step explanation:
0.09(100n + 1) = 0.3(n + 9) ← distribute parenthesis on both sides
9n + 0.09 = 0.3n + 2.7 ( subtract 0.3n from both sides )
8.7n + 0.09 = 2.7 ( subtract 0.09 from both sides )
8.7n = 2.61 ( divide both sides by 8.7 )
n = 0.3
suppose a high school guidance counselor wants to find out the proportion of students at his high school who have tried alcohol. he sends out an email to 200 randomly chosen students asking them if they have tried alcohol. of the 92 that responded, 6% said they had tried alcohol. define nonresponse bias. describe how nonresponse might lead to bias in this study.
Due to the counselor's assumption that individuals who did not respond to the email may have tried alcohol and did not want him (the counselor) to know, a non response might cause bias in the research.
What is the contribution of non response?A non-response can contribute to a bias in the research because the counselor may believe that individuals who did not respond to the email may have tried alcohol and they did not want him (the counselor) to know.
When systematic mistakes are introduced into sampling or testing by choosing or favoring one outcome over other outcomes, it is considered to be biased in statistical research.
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5⅗-2.2 in decimal and in fraction
Answer:
3.4 and 3 2/5
Step-by-step explanation:
5 3/5 = 5.6
5.6 - 2.2 = 3.4
3.4 = 3 4/10 = 3 2/5
factorise x squared + 3x
Answer:
x(x + 3)
Step-by-step explanation:
x² + 3x ← factor out x from each term
= x(x + 3)
a door was rolled 60 times. it landed on one-11 times, two-9 times, four-12 times, five-12 times, and six - 8 times. How many times was there rolled in there 60 times?
The die was rolled 7 times in there 60 times if it is landed on one-11 times, two-9 times, four-12 times, five-12 times, and six - 8 times.
What is meant by probability?Probabilities are mathematical explanations of the probability of an event occurring or of a proposition being true. The probability of an event is expressed as a number between 0 and 1, where 0 often indicates impossibility and 1 generally indicates certainty.
Given,
Number of times a die rolled=60
And also given that it landed on,
One --- 11 times
Two -----9 times
Four -----12 times
Five -----12 times
Six -------8 times
Total number of times the die was landed on is 52 times.
Therefore, total number of times a die was rolled=60
S0, 52+x=60
x=7
Therefore, the die was rolled 7 times in there 60 times.
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What is the difference between the x-intercept and the y-intercept? Give examples with numbers for points.
Hope this helps
Answer:
The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis.
The number of pollinated flower a a function of time on day can be repreented by the function
f(x) = (3) x/2
what i the average increae in the number of flower pollinated per day between day 4 and 10
The average increase in flower count is 42.
What is Average?The average is the ratio created by dividing the total number of figures in a set by the number of elements
Fowers pollinated in this instance is f(x), where x is the number of days. The nunumber of figures.The number of flmber of flowers that were pollinated between days 4 and 10 as well as on those days must first be determined.
F(4) = 3(4^2) = 3*16 = 48
F(5) = 3(5^2) = 3*25 = 75
F(6) = 3(6^2) = 3*36 = 108
F(7) = 3(7^2) = 3*49 = 147
F(8) = 3(8^2) = 3*64 = 192
F(9) = 3(9^2) = 3*81 = 243
F(10) = 3(10^2) = 3*100 = 300
The average of the day-to-day variations will be
[(75-48)+(108-75)+(147-108)+(192-147)+(243-192)+(300-243] in order to obtain the average increase.
=(27+33+39+45+51+57)/6=42
There the average increase in the number of flowers pollinated per day is 42
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The circle graph shows how a typical household spends money on energy. Use the graph to find the measure of each arc.
mPQ
MUPT
Converting the percentage to degree in the pie chart, angle PQ and UPT are 162° and 25.2° respectively
Pie ChartThis is a statistical tool used to represent data in a chart. It is often represented using angles or percentage.
To find the value of the respectively angles, we have to convert the values from percentage to degree.
The formula to do this is given as
Percentage = angle * (100 / 360)
A)
Angle PQ = ?
Substituting the values;
45 = angle * (100 / 360)
45 = angle * (5/18)
angle = 45 / (5/18)
angle = 162°
B) Angle UPT = ?
7 = angle * (5/18)
angle = 7 / (5/18)
angle = 25.2
The angle PQ is 162 degrees, the angle UPT is 25.2 degrees
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Find the coordinates of the circumcenter of the triangle with the given vertices.
A(0, 0), B(0, 8), C(6, 0)
At (1, 5, 1), these two perpendicular bisectors will come together. These are the triangle's circumcenter's coordinates.
What is circumcenter ?the middle of the triangle's circle. It is the intersection of the "perpendicular bisectors," or lines that are perpendicular to the middle of each side.
Triangle ABC's circumcenter is the point at which any two perpendicular bisectors of any two sides of the triangle come together.
The perpendicular bisector of sides B(3,0) and C(3,2) has the equation is y=1.
Because AB's slope is unknown and its midpoint is at 3,1. The slope of the perpendicular bisector is zero. Such a line has the equation y=y1.
Additionally, x=1.5 is the equation for the perpendicular bisector of A(0,0) and B(3,0). The explanation is because AB has a zero slope and a midway of (1.5,0). The slope of the perpendicular bisector will be ill-defined. x=x1 is the equation for such a line.
At (1, 5, 1), these two perpendicular bisectors will come together. These are the triangle's circumcenter's coordinates.
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kristen's dog weighs 88 pounds of 1 kilogram is approximately 2.2 pounds what is the approximate weight of kristens dog in kilograms?
Answer:39.9
Step-by-step explanation:1 kilogram is 0.453592 kilograms so if you multiply that number by 88 you will get 39.9
What is the result when the number 50 is decreased by 12% ?
Answer: 44
Step-by-step explanation:
100% - 12% = 88%
Take 50 times 0.88 = 44
in a probability model, the sum of the probabilities of all outcomes must equal
True. In a probability model, the sum of the probabilities of all outcomes must equal 1.
This is incomplete question
Complete question is this:
True or False: In a probability model, the sum of the probabilities of all outcomes must equal 1.
Answer in true or false.
Now, According to the question:
Let's know:
What is Probability Model?
A probability model is a mathematical representation of a random phenomenon. It is defined by its sample space, events within the sample space, and probabilities associated with each event. The sample space S for a probability model is the set of all possible outcomes.
Now, According to the above statement is:
Hence, True. In a probability model, the sum of the probabilities of all outcomes must equal 1.
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True. In a probability model, the sum of all outcomes' probabilities must equal 1.
Probability Model
A probability model is a mathematical model that represents a random phenomenon. Its sample space, events within the sample space, and probabilities associated with each event define it. A probability model's sample space S is the set of all possible outcomes.
As a result, the statement given here is true. In a probability model, the sum of all outcomes' probabilities must equal 1.
One advantage of using an explicit mathematical model rather than simply applying a set of rules to probability situations is that the intuitive approach to probability has significant limitations when analysing tricky or sophisticated phenomen.
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express y in x terms.
y + 3x = 2
Answer:
y = 2 - 3x
Step-by-step explanation:
y + 3x = 2 ( isolate y by subtracting 3x from both sides )
y = 2 - 3x
Answer:
[tex]\huge\boxed{\sf y = 2 - 3x}[/tex]
Step-by-step explanation:
Given equation:y + 3x = 2
Subtract 3x from both sides
y = 2 - 3x
[tex]\rule[225]{225}{2}[/tex]
The expression 17n+11 represents the perimeter of the triangle. What is the length of the third side?
The expression 17n+11 represents the perimeter of a triangle, which is the sum of the lengths of the three sides of the triangle. Therefore, we can use this expression to determine the length of the third side of the triangle.
Since the perimeter of the triangle is equal to 17n+11, we know that the sum of the lengths of the three sides is equal to 17n+11. We can write this as:
a + b + c = 17n+11
where a, b, and c are the lengths of the three sides of the triangle.
To determine the length of the third side, we need to know the lengths of the other two sides. However, since the question does not provide this information, we cannot determine the length of the third side with certainty. In general, there are many different triangles that could have a perimeter of 17n+11, and the length of the third side could vary depending on the specific lengths of the other two sides.
Without additional information about the lengths of the other two sides, it is not possible to determine the length of the third side of the triangle.
Guys help me with that question I have a quiz after today and please explain what you did.
Answer:
a. 10 km
b. 25 km
c. 35 km
Step-by-step explanation:
You are given the rate running = 5 km per 0.5 hr and the rate for biking = 20 km per 0.8 hr. Set up a proportion to get from 0.5 hr to 1 hr multiply by 2, so multiply 5 km by 2 = 10 km. Do the same for biking 0.8 hr to 1 hr is multiplied by 1.25, so multiply 20 by 1.25 = 25 km. Add those two values together for c to get 35 km. See attached image
What is 3/25 × 4 in simplest form
Answer: 12/25
Step-by-step explanation: 3/25 × 4 is equaled to 3/25 × 4/1.
So first we take 3 and 4 and multiply them to make 12.
Then we take 25 and multiply it by 1 which would equal to 25.
Now we have 12/25 which cannot be simplified.
Determine which of the lines, if any, are
parallel. Explain.
Line a passes through (-2,5) and (2,1)
Line b passes through (-4,3) and (3,4)
Line c passes through (-3,4) and (2,-6)
Simplify: (4x4y3)(4x4)
Answer:
16x⁸y³
Step-by-step explanation:
You want to simplify (4x⁴y³)(4x⁴).
Rules of exponentsThe relevant rule of exponents is ...
(a^b)(a^c) = a^(b+c)
SimplificationThe simplified form is ...
[tex](4x^4y^3)(4x^4) =(4\cdot4)x^{4+4}y^3=\boxed{16x^8y^3}[/tex]
In △QRS , point A is between points Q and R, point B is between points R and S, and AB∥QS .
QA=23 cm , QR=41 cm , and RS=123 cm .
What is RB ?
Answer:
the length of RB is 18 cm.
Step-by-step explanation:
In △QRS, since point A is between points Q and R, and point B is between points R and S, we have that QR > QA > 0 and RS > RB > 0. Additionally, since AB∥QS, we know that the segment AB is parallel to the segment QS.
We can use this information to set up an equation to solve for RB. Since AB∥QS and QA = 23 cm, we have that QR = RB + 23. We can substitute this expression into the equation QR = 41 cm to get:
RB + 23 = 41
Solving this equation for RB, we get:
RB = 41 - 23
Therefore, the length of RB is 18 cm.
Which inequality is different
X is no more than 12
X is at most 12
X is no less than 12
X is less than or equal to 12
The inequality that is different is C. X is no less than 12
How to illustrate the inequality?Inequalities are created through the connection of two expressions. It should be noted that the expressions in inequality aren't always equal. Inequalities implies that the expressions are not equal. They are denoted by the symbols ≥ < > ≤.
An inequality is created when two or more algebraic expressions are compared using the symbols. They represent mathematical expressions where neither side is equal.
p ≠ q means that p is not equal to q
p < q means that p is less than q
p > q means that p is greater than q
p ≤ q means that p is less than or equal to q
p ≥ q means that p is greater than or equal to q
It should be noted that x is no less than 12 isless than the other inequalities that are given. Therefore, the correct option is C.
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Eve plays basketball. She makes 7 free throws for every 3 free throws that she misses. If she missed 30 free throws at her last practice, how many free throws did she make?
Eve made 56 free throws for every 30missed throws in her practice
What is ratio?
In mathematics, a ratio is a comparison of two or more numbers that indicates their sizes in relation to each other.
From the question;
The ratio of misses would be: 7:3
If she missed 24 free throws, the new ratio would be: x:24
To do this, we would need to find how many times did 3 go into 24.
3 goes into 24 8 times. We do the same thing to the 7.
We multiply 7x8, which is 56.
The new ratio is: 56:24
So, Eve made 56 free throws.
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3. You buy horchatas and tacos and spend more than $60. Write an inequality to represent this scenario.
Answer:60=T/H
Step-by-step explanation:your spending more but u don't know what or how much u spent so therefore there is a variable AKA inequality
Evaluate the expression.
x (6+18)
¹× (6 +
Which operation do you need to perform first?
dhe
6 18
Answer:
6+18
Step-by-step explanation:
Use PEMDAS, or standard order of operations for basically all levels of math.
In order from first to last, solve:
Parenthesis
Exponents/Roots
Multiplication/Division
Addition/Subtraction
Exponents, Multiplication, or Addition are not to be prioritized over Roots, Division, or Subtraction. Solve left to right in that situation.
Because 6+18 is in parenthesis, solve that first.
water in a vertical cylindrical tank of height 22 ft and radius 4 ft is to be pumped out. the density of water is 62.4 lb/ ft3. (a) the tank is full of water and all of the water is to be pumped over the top of the tank.
The tank is full of water and all of the water is to be pumped over the top of the tank is 643,094.07 ft-lbs .
Consider a slice shown at a height of v and suppose that the slice has a thickness of Δv. The volume of the slice is then π( 3 )^2 Δv = 9π Δv which is the area of the disk of radius 3 times the thickness of the slice.
= 62.4 ( 9 π Δ v ) = 561.6 π Δ v
Δ W = ( 561.6 π Δ v ) ( 27 − v ) = 561.6 π ( 27 − v ) Δ v ft-lbs
Work = [tex]\int\limits^{27}_0[/tex]561.6 π ( 27 − v ) d v
= 561.6 π ( 27 v − 1 / 2 v^2 ) | 27_ 0
= 561.6 π ( 27 ∗ 27 − 1 / 2 ( 27 )^2
= 1,023,516 π / 5
= 643,094.07 ft-lbs
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a Express the shaded area as a fraction, a decimal, and a percent of the whole.
Fraction:
Decimal:
Percent:
%
As a fraction, decimal and a percent, the shaded region is expressed as 7/10, 0.7 and 70% respectively.
What is a fraction, decimal and percentage?A fraction represents a part of a whole or, more generally, any number of equal parts.A decimal is a number that consists of a whole and a fractional part.In mathematics, a percentage is a number or ratio expressed as a fraction of 100.Given is a image as shown in the image attached.
We can express the shaded area as -
Fraction : 7/10
Decimal : 0.7
Percent : (7/10) x 100 = 70%
Therefore, in the form of fraction, decimal and a percent we can express the shaded region as 7/10, 0.7 and 70% respectively.
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Can someone please explain how I’m supposed to do this?
Answer:
Add Everyone's Goals
and then Divide Steeler's goal with Everyone's Goal.
Then Mutiply with 100 to get percentage.
Ans: 14.6%
Given the sequence 3, −9, 27, −81,..., what is an expression for an+1 in terms of an?
Answer:
Step-by-step explanation:
if you're looking for an+1 it might be an=3
because the an represents the first term in the sequence
what is -3 ≤ x - 5? I'll mark brainliest
The solution to the inequality expression given as -3 ≤ x - 5 is x ≥ 2
How to evaluate the expression?From the question, we have the following parameters that can be used in our computation:
-3 ≤ x - 5
Add 5 to both sides of the expression
So, we have the following representation
5 - 3 ≤ x - 5 + 5
Evaluate the like terms
2 ≤ x
Rewrite the expression as
x ≥ 2
Hence, the solution is x ≥ 2
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The Chess Club had an activity fund balance of $321 to begin the school year. Club members spent 13 of the beginning balance to attend their first tournament, and then, spent 25% of the remaining amount to go to their second tournament.
Club members spent 13 of the beginning balance to attend their first tournament so, the Chess Club spent $77 on their second tournament.
How to calculate balance money ?To calculate the balance of a sum of money, you need to know the initial amount of money and any additions or subtractions that have been made to it.
For example, if you start with $100 and then receive an additional $50, your balance would be $100 + $50 = $150. If you then spend $25, your balance would be $150 - $25 = $125.
To determine how much money the Chess Club spent on their second tournament, we need to first calculate the remaining balance after the first tournament. The Chess Club spent 13 of the beginning balance of $321, so the remaining balance is $321 - $13 = $308.
Next, we need to calculate 25% of the remaining balance. 25% of $308 is (25/100) * $308 = $77.
Thus, the Chess Club spent $77 on their second tournament.
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