Urgent. Factor the GCF from the Polynomial. 12x^8+16x^9-28x^5+20. Please show work.
Answers
Answer:4 X (4x9 + 7x5 - 3x4 +5)
Step-by-step explanation:
Related Questions
I need two equivalent fractions for each
Answers
6/9 = 2/3
9/10 = 90/100
Answer:
A.) 6/14 18/21
B.) 12/18 18/21
C.) 18/20 27/30
what is the standard form of this expression?
(3x+4)(x-8)
Answers
Answer:
Step-by-step explanation:
(3x + 4) (x - 8)
3x2 - 8x + 4x - 32
3x2 - 4x - 32
Option B is the correct answer
Answer:
3x2 − 20x − 32
Step-by-step explanation:
Plato answer
Cigarette Taxes The data shown represent the
cigarette tax (in cents) for 50 selected states. Check
for normality.
Answers
The range of the cigarette tax (in cents) for 50 selected states is 62.
What is range?The range of a function is defined as the set of all the possible output values that are valid for the given function.
The range of a given set of data is the difference between the largest value and the smallest value.
Given the data shown represent the cigarette tax (in cents) for 50 selected states
70,12,42,45,50,51,60,69,8,40,18
Required; The range
This is calculated as:
Range = highest - lowest
Range = 70 - 8
Range = 62
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Determine if the following equation is an identity equation, a conditional equation, or an inconsistent equation.
−6x+6x−6=2−5
Answers
Answer:
(c) inconsistent equation
Step-by-step explanation:
You want to know if the equation -6x+6x-6=2-5 is an identity, conditional, or inconsistent.
SimplifiedThe simplified equation, after combining like terms, is ...
-6 = -3
This is an "inconsistent" equation, always false.
calculating the five number summary
Answers
Answer:
2) 43
4) 65
Step-by-step explanation:
The first and third quartile of the data can be found by calculating the median of the first and second halves of the data. For example, the first quartile of the data can be calculated thus:
40,41,43,50,56
41,43,50
43
and the third quartile thus:
62,63,65,78,97
63,65,78
65
Hope it helps <3
Answer:
A) 43
B) 65
Step-by-step explanation:
A) First Quartile = \((N+1)\frac{1}{4}\)
Where N is the number of observations
=> 1st Quartile = (11+1)(1/4)
=> 1st Quartile = (12)(1/4)
=> 1st Quartile = 3rd number
=> 1st Quartile = 43B) Third Quartile = \((N+1)\frac{3}{4}\)
=> 3rd Quartile = (11+1)(3/4)
=> 3rd Quartile = (12)(3/4)
=> 3rd Quartile = 3*3
=> 3rd Quatile = 9th number
=> 3rd Quartile = 65For the following exercises, determine whether the vector field is conservative and, if it is, find the potential function. 106. F(x, y) = (6x + 5y)i + (5x + 4yj
Answers
f(x, y) = 3x + 2y + C
To know if a vector field is conservative, we have to check if it is the gradient of a scalar function.
The gradient of the function f(x, y) is given by
∇f(x, y) = (∂f/∂x, ∂f/∂y)
If a vector field F(x, y) is the gradient of a scalar function f(x, y), then the following conditions must be satisfied:
F(x, y) = ∇f(x, y)
Whether a given vector field satisfies this condition can be checked by taking the partial derivative with respect to x and y.
∂F/∂x = ∂(6x + 5y)/∂x = 6
∂F/∂y = ∂(5x + 4y)/∂y = 4
The partial derivative of a given vector field is the constant, the gradient of the scalar function. So vector fields are conservative and we can find a potential function f(x, y) such that F(x, y) = ∇f(x, y).
To find the potential function, we can integrate the partial derivative of F(x, y) with respect to x and y.
f(x, y) = ∫∂F/∂xdx + ∫∂F/∂ydy
= ∫6dx + ∫4dy
= 3x + 2y + C
where C is the constant of integration. So the potential function for a given vector field is
f(x, y) = 3x + 2y + C
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Ryan is traveling by car for his vacation. The first day, he travels 80 miles in 2 hours. The second day, he travels 100 miles in 3 hours. Is this a proportional relationship?
Answers
Answer:
No
Step-by-step explanation:
no on the first day he drove 40mph the second day he drove 33 mph
5. a rectangular plot of land is to be enclosed by fencing. one side is along a river and so needs no fence. if the total fencing available is 600 meters, fi d the dimensions of the plot to have maximum area.
Answers
Using basic geometry and applying the fence only on 3 sides, The required dimensions of the plot to have maximum area is 200 x 200.
What do you mean by geometry?A subfield of mathematics called geometry examines the dimensions, placements, angles, and sizes of objects.
What do you mean by dimensions of a figure?In mathematics, a dimension is the length or width of an area, region, or space in one direction. It is just the measurement of an object's length, width, and height.
fence length available = 600m
We only need to fence 3 sides. So length in each side = 600/3
=200m
So, Final dimension = 200 x 200
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A certain laptop is really popular and sells for $209. Since sales are so good, the store raises the price by 12%. What is the cost of the laptop after the markup?
Answers
(1/2 + 1/3) - (1/2 - 1/3) =
Answers
Answer:
.66
Step-by-step explanation:
1/2 + 1/3 - 1/2 - 1/3 = .66
For the function f(x)=−x^2+x−7, find f(1)
Answers
Answer:
f(1) = -7
Step-by-step explanation:
Step 1: Define
f(x) = -x² + x - 7
f(1) = x = 1
Step 2: Substitute and Evaluate
f(1) = -(1)² + 1 - 7
f(1) = -1 + 1 - 7
f(1) = -7
The workers' union at a particular university is quite strong. About 96 of all workers employed by the university belong to the workers' union. Recently, the workers went on strike, and now a local TV station plans to interview 4 workers (chosen at random) at the university to get their opinions on the strike. What is the probability that exactly 2 of the workers interviewed are union members?
Answers
The probability that exactly 2 of the workers interviewed are union members is approximately 0.044.
To solve this problem, we can use the binomial probability formula, which is:
\(P(X = k) = (n choose k) * p^k * (1 - p)^(n - k)\)
where:
n is the sample size (number of workers being interviewed)
k is the number of successes we are interested in (in this case, 2 of the workers being union members)
p is the probability of success (in this case, the probability that a worker is a union member)
(n choose k) is the binomial coefficient, which represents the number of ways to choose k items from a set of n items (this can be calculated using the formula n! / (k! * (n - k)!))
Plugging in the values, we get:
\(P(X = 2) = (4 choose 2) * (0.96)^2 * (1 - 0.96)^(4 - 2)\)
\(= (6) * (0.96)^2 * (0.04)^2\)
= 0.04403136
Therefore, the probability that exactly 2 of the workers interviewed are union members is approximately 0.044.
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Same directions as question #1
Sn = ( -1 )n + 1
Answers
The sum of the sequence based on the function Sn = ( -1 )n + 1 will be -6.
How to depict the information?The formula for finding the nth term in an arithmetic sequence given as:
= a + (n - 1)d
Here, Sn is given as ( -1 )n + 1. This is used to illustrate the sum in the sequence. Based on the function given, let's assume that n = 5. Therefore, the 5th term will be:
= (-1)n + 1
= (-1)5 + 1
= (-1)6
= -6
Here is the complete question:
Find the 5th term of a sequence given the function Sn = ( -1 )n + 1.
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describe a real-life situation that could be represented by the expression 3+2x6
Answers
Answer:
"Margaret is at a birthday store. She wants to buy 3 candles and 2 balloons. She then realizes that she wants to throw an even bigger surprise party, so she buys 6 fold of her original items. How many candles and balloons did she buy in split amounts?"
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It took 57 liters of water to fill a small swimming pool. There are approximately 3.8 liters in 1 gallon. Which measurement is closest to the number of gallons of water it took to fill the swimming pool?
A: 14 Gallons
B: 10 Gallons
C: 16 Gallons
D: 15 Gallons
Answers
The correct option is (D) i.e. It took 15 gallons of water to fill the swimming pool.
What is Measurement?
Measurement is the process of assigning numerical values to physical quantities, such as length, mass, time, temperature, volume, and many others. It is used to quantify and describe the properties of objects and phenomena in the natural world, as well as in many fields of science, engineering, commerce, and everyday life.
Measurements are typically made using standard units, such as meters for length, kilograms for mass, seconds for time, and so on.
We are given that, there are 3.8 liters in 1 gallon.
So, we can say that,
1 gallon = 3.8 liters
Now, It took 57 liters of water to fill a small swimming pool
we can convert it into gallons as follows:
1 gallon = 3.8 liters
1 / 3.8 gallon = 1 liter
57 / 3.8 gallon = 57 liters
So, 57 liters = 15 gallons of water.
Hence, (d) is the correct option.
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When an object is weighed on a scale, the number displayed may vary from the object’s actual weight by at most 0.4 pounds. The scale says the object weighs 125.8 pounds. Part A: Write an absolute value inequality that describes the range of the actual weight of the object. Use the variable w to represent the actual weight of the object. Part B: Solve the absolute value inequality for w. Express your answer as a compound inequality.
Answers
The compound inequality that represents the range of the actual weight of the object is 125.4 ≤ w ≤ 126.2.
Part A: The absolute value inequality that describes the range of the actual weight of the object is:
|w - 125.8| ≤ 0.4
Part B: To solve the absolute value inequality, we can break it down into two separate inequalities:
w - 125.8 ≤ 0.4 and - (w - 125.8) ≤ 0.4
Solving the first inequality:
w - 125.8 ≤ 0.4
Add 125.8 to both sides:
w ≤ 126.2
Solving the second inequality:
-(w - 125.8) ≤ 0.4
Multiply by -1 and distribute the negative sign:
-w + 125.8 ≤ 0.4
Subtract 125.8 from both sides:
-w ≤ -125.4
Divide by -1 (note that the inequality direction flips):
w ≥ 125.4
Combining the solutions, we have:
125.4 ≤ w ≤ 126.2
The object is 125.4 ≤ w ≤ 126.2.
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please help this is very important
Answers
Answer:
C
Step-by-step explanation:
Answer:
Area of a rectangle=LxW
There's 2 rec's there
For the first
A= 1/3.s
For the second
L=12
W= 1/3
A = 1/3 . ( 12)
Total Area = 1/3.s + 1/3(12)
Now This can also be simplified by factorization
Total Area = 1/3(s+12)
We factored out 1/3 from both sides.
The question asked to select ALL THE EXPRESSION That represents the total area.
SO OPTION C and E
A can of "fruit drink" contains 15% sugar and a can of "fruit juice" contains 5% sugar. Both of the beverages will be mixed together to get 10 liters of juice that has 8% sugar. How many liters of "fruit juice" are required?
Answers
By solving a system of equations, we will see that 7 liters of fruit juice are needed.
How many liters of fruit juice are required?Let's define the variables:
x = liters of fruit juice.
y = liters of fruit drink.
We know that the mixture has 10 liters, then:
x + y = 10
And the concentration of these 10 liters is 8%, then the concentration equation is:
x*0.05 + y*0.15 = 10*0.08
Then we have a system of equations:
x*0.05 + y*0.15 = 10*0.08
x + y = 10
Isolating y on the second equation, we get:
y = 10 - x
Replacing that in the first equation we get:
x*0.05 + (10 - x)*0.15 = 10*0.08
x*0.05 + 1.5 - x*0.15 = 0.8
-x*0.10 = 0.8 - 1.5
x*0.10 = 0.07
x = 0.7/0.10 = 7
So 7 liters are used.
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Let's roll two dice and find the probability of rolling a certain sum. Is this a simple or compound event?
Two dice - Red and Blue
Recall that a simple event has one and only one outcome of interest. In this example, we are rolling two dice, but we are only interested in one outcome, the sum of the two dice. This is a simple event.
What is the probability of:
Rolling a sum of 1?
Rolling a sum of 3?
Rolling a sum of 12?
Rolling a sum of 7?
Since we are rolling a pair of dice and looking for the sum, the sample space is a little more complicated than rolling one die. The chart below will help us determine the possible outcomes. The top row indicates the numbers on the sides of the blue die and the first column represents the number on the sides of the red die. The white area indicates the sum of the numbers in the row and column.
# Rolled 1 2 3 4 5 6
1 1+1=2
1
+
1
=
2
1+2=3
1
+
2
=
3
1+3=4
1
+
3
=
4
1+4=5
1
+
4
=
5
1+5=6
1
+
5
=
6
1+6=7
1
+
6
=
7
2 2+1=3
2
+
1
=
3
2+2=4
2
+
2
=
4
2+3=5
2
+
3
=
5
2+4=6
2
+
4
=
6
2+5=7
2
+
5
=
7
2+6=8
2
+
6
=
8
3 3+1=4
3
+
1
=
4
3+2=5
3
+
2
=
5
3+3=6
3
+
3
=
6
3+4=7
3
+
4
=
7
3+5=8
3
+
5
=
8
3+6=9
3
+
6
=
9
4 4+1=5
4
+
1
=
5
4+2=6
4
+
2
=
6
4+3=7
4
+
3
=
7
4+4=8
4
+
4
=
8
4+5=9
4
+
5
=
9
4+6=10
4
+
6
=
10
5 5+1=6
5
+
1
=
6
5+2=7
5
+
2
=
7
5+3=8
5
+
3
=
8
5+4=9
5
+
4
=
9
5+5=10
5
+
5
=
10
5+6=11
5
+
6
=
11
6 6+1=7
6
+
1
=
7
6+2=8
6
+
2
=
8
6+3=9
6
+
3
=
9
6+4=10
6
+
4
=
10
6+5=11
6
+
5
=
11
6+6=12
6
+
6
=
12
How many outcomes are in the sample space? Answer
Answers
Answer:
the answer to your question how many outcomes is really gonn adepend on you you slove you problem but my amswer is gonna be 7.
A hose fills a hot tub at a rate of 2.82
gallons per minute. How many hours will it take to fill a 303
-gallon
hot tub?
Answers
Answer:
Step-by-step explanation:
60 minutes per hour
2.82gal *60mins = 169.2gal per hour.
303 gallons / 169.2 gph = about 1.7907 hours
ANSWER QUICKLY! HURRY.
Answers
Answer:
-43 < -35
Step-by-step explanation:
-43 is less than -35 because it is on the left.
help pls anyone? pls
Answers
12. A running club keeps track of the number of hours each person has trained for a race and the length of time it takes the person to run the race
indicating the number of hours a runner has trained and the y-axis indicating the time, in minutes, it took to run the race. The equation y=60
data. What does the slope of the equation represent?
O Runners will decrease their race time by 2 minutes for every 1 hour they have trained
Runners will increase their race time by 1 minute for every 2 hours they have trained
Ооос
O Runners will increase their race time by 2 minutes for every 1 hour they have trained.
O Runners will decrease their race time by 1 minute for every 2 hours they have trained
Answers
Answer:
A. Runners will decrease their race time by 1 minute for every 2 hours they have trained.
Step-by-step explanation:
Is the actual equation this:
A running club keeps track of the number of hours each person has trained for a race and the length of time it takes the person to run the race. A scatter plot is graphed with the xxx-axis indicating the number of hours a runner has trained and the y-axis indicating the time, in minutes, it took to run the race. The equation y=60-0.5x is used as the line of best fit of the data. What does the slope of the equation represent?
what is the mean for 98,78,84,75,91
Answers
what's the lcm of 24 and 30
Answers
Answer:
120
Step-by-step explanation:
The LCM of 24 and 30 is 120. To find the least common multiple (LCM) of 24 and 30, we need to find the multiples of 24 and 30 (multiples of 24 = 24, 48, 72, 96 . . . 120; multiples of 30 = 30, 60, 90, 120) and choose the smallest multiple that is exactly divisible by 24 and 30, i.e., 120.
Solve equation
176 =-4(4 + 6m)
Answers
to solve for m
distribute into parentheses
176 = -16 - 24m
get m on one side
176 + 16 = -24m
192 = -24m
divide by -24
-8 = m
m = -8
A paper drinking cup in the shape of a cone has a height of 10
centimeters and a radius of 4 centimeters. Which of the following is
dosest to the volume of the cup in ubic centimeters?
A. 167cm^3
B. 209cm^3
C. 670cm^3
D. 502cm^3
Answers
Answer:
A, 167 cm ^ 3.
Step-by-step explanation:
A particular fruit's weights are normally distributed, with a mean of 532 grams and a standard deviation of 27 grams. If you pick 10 fruit at random, what is the probability that their mean weight will be between 528 grams and 546 grams
Answers
Answer:
814.795
Step-by-step explanation:
The brain volumes (cm³) of 20 brains have a mean of 1085.2 cm³ and a standard deviation of 125.6 cm³. Use the
given standard deviation and the range rule of thumb to identify the limits separating values that are significantly low or
significantly high. For such data, would a brain volume of 1386.4 cm³ be significantly high?
Answers
If the brain volumes (cm³) of 20 brains have a mean of 1085.2 cm³ and a standard deviation of 125.6 cm³. For such data: it is significantly low for a brain because 1386.4 cm³ is less than the upper limit.
How to find the lower and upper limits?Mean = 1085.2 cm³
Standard deviation = 125.6 cm³
Hence,
Lower limit = Mean - 2 x Standard deviation
Lower limit =1085.2 - 2 x 125.6
Lower limit =1161.2 - 251.2
Lower limit =910
Upper Limit = Mean + 2 x Standard deviation
Upper Limit = 1161.2 + 2 x 125.6
Upper Limit =1161.2 +251.2
Upper Limit =1412.4
The limit of values is from 910 to 1412.4.
A value below 910 will be is considered low and a value above 1412.4 will be considered high
Therefore 1386.4 cm³ is less than the upper limit. Thus it is significantly low for a brain.
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Which decimals are less than 2.312? Select all that apply. A. 2.311 B. 2.4 C. 2.32 D. 2.3 E. 2.31 F. 2.313
Answers
Answer:
a c d
Step-by-step explanation: