The factors of the given monomial are given below
What is a monomial?
A monomial is, broadly speaking, a polynomial with just one term in mathematics. There are two definitions of a monomial: A monomial, often known as a power product, is a product of powers of variables with nonnegative integer exponents, or a product of variables with repeats. The constant 1 is a monomial, which means that it is equivalent to the empty product and to for any variable x. If just one variable, x, is examined, a monomial is either 1 or a power xn of x, where n is a positive integer. If many variables, say x,y,z, are examined, each can be assigned an exponent, such that each monomial has the form xaybzc with a,b,c non-negative integers.
The factors of the monomial 16x²y are 2.2.2.2.x.x.y
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The factors of the monomial are given below
What is a monomial?
A monomial is, broadly speaking, a polynomial with just one term in mathematics. there are two definitions of a monomial: A monomial, often known as a power product, is a product of powers of variables with nonnegative integer exponents, or a product of variables with repeats. The constant 1 is a monomial, which means that it is equivalent to the empty product and to for any variables x. If just one variable, x, is examined, a monomial is either 1 or a power xn of x, where n is a positive integer, if many variables, say x, y, z, are examined, each can be assigned an exponent, such that each monomial has the form xaybzc with a, b, c non-negative integers.
The factors of the monomial 16x²y are 2.2.2.2.x.x.y
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The perimeter of a rectangle is 48 centimeters, The relationship
between the length, the width, and the perimeter of the rectangle
can be described with the equation 2 • length + 2 • width = 48.
Find the length, in centimeters, if the width is:
1. 10 centimeters
2. 3.6 centimeters
3. w centimeters
solve for w: x=7w-8z-4
Answer:
W=x/7+ 8z/7 + 4/7
Step-by-step explanation:
is housework hazardous to your health? a study in public health report compares the life expectancies of 25-year-old white women in the labor force with those who are housewives. how large a sample would have to be taken from each group in order for you to be 95% con dent that the estimate of the difference in mean life expectancies for the two group is within 1 year of the true difference? assume that equal sample sizes will be selected from the two groups and that the standard deviation for both groups is approximately 15 years.
the difference in mean life expectancies for the two groups is within 1 year of the true difference is 1729
Health issues can arise from substances other than chemicals like bleach. The way you clean your house and the environment in which you live both matters. Scientists caution that performing these tasks could have a detrimental effect on your health.
A Z-score is a metric that quantifies how closely a value relates to the mean of a set of values. Standard deviations from the mean are used to measure Z-score.
Given data:
σ₁ = σ₂ = 15
n₁ = n₂ = n
Margin of error = 1
Confidence level = 95% = α = 1 - 0.95 = 0.05
z score of α / 2 = 0.05 / 2 = 1.96 , n₁ = n₂ = ?
For the difference of mean test, the margin of error will be:
E = z score α / 2 [tex]\sqrt \frac{(SD1)^{2} }{n1}+\sqrt \frac{(SD2)^{2} }{n2}[/tex]
[tex]1 = 1.96 \sqrt\frac{(15)^{2} }{n} + \sqrt \frac{(15)^{2} }{n}[/tex] [∵ n₁ = n₂ = n]
[tex]1 = 1.96 * 15 \sqrt \frac{2}{n}[/tex]
1 = 41.58 / √n
√n = 41.58 / 1 = 41.58
On squaring both sides:
n = 1728.90 ≈ 1729
∴ n₁ = n₂ = 1729
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PLEASE HELP ME FIND X
Answer:
28°
Step-by-step explanation:
AB and CD are straight lines, all angles in a straight line add up to 180
PLS HELP, 50 POINTS + BRAINLY FOR CORRECT ANSWER!!!
23 < y - 2 solve the inequality of y and simplify your answer as much as possible.
[tex]23 + 2 < y \\ y > 25[/tex]
ATTACHED IS THE SOLUTION Mind you I swap the positions of the term so that y can be on the left hand side.
Goodluck!!
Answer:
25 < y
Step-by-step explanation:
23 + 2 < y
25 < y
that's as much as it goes
Which fraction equals \dfrac{4}{7} + \dfrac{3}{8}
7
4
+
8
3
?
Answer:
[tex]$\frac{53}{56}[/tex]
Step-by-step explanation:
Hello!
Let's first convert the denominator of each fraction to the same number. Multiply the denominator by the whole number formed by the other number's denominator.
[tex]\frac{4}{7} + \frac{3}{8}[/tex][tex]\frac{4}{7}(\frac88) + \frac38(\frac77)[/tex][tex]\frac{32}{56} + \frac{21}{56}[/tex]Now we can add the numerators of the fractions and keep the denominators the same.
[tex]\frac{32}{56} + \frac{21}{56}[/tex][tex]\frac{32 + 21}{56}[/tex][tex]\frac{53}{56}[/tex]The simplified form is [tex]$\frac{53}{56}[/tex].
6x+1y=44 find the slope
Answer:
answer would be -6 since you are just subtracting -6 to move to the other side
Step-by-step explanation:
-6/5 k -3/4 = -2 + 1/7 k solve for k
hello
to solve for k, we'll do it in a stepwise manner
step 1
collect like terms
[tex]\begin{gathered} -\frac{6}{5}k-\frac{3}{4}=-2+\frac{1}{7}k \\ -\frac{3}{4}+2=\frac{1}{7}k+\frac{6}{5}k \end{gathered}[/tex][tex]\begin{gathered} -\frac{3}{4}+2=\frac{1}{7}k+\frac{6}{5}k \\ \text{take LCM} \\ -\frac{3+8}{4}=\frac{5+42}{35}k \\ \frac{5}{4}=\frac{47}{35}k \end{gathered}[/tex]step 2 above was to take LCM
step 3
cross multiply both sides and solve for k
[tex]\begin{gathered} \frac{5}{4}=\frac{47}{35}k \\ 4\times47=(5\times35)k \\ 188=175k \\ k=\frac{188}{175} \\ k=1.074 \end{gathered}[/tex]Find the output when the input is n input 1,2,3,4,n output
-6,-8,-10,-12
The expression that represents the output value when the input is n is -4 - 2n
How to determine the output value for the input n?From the question, the input parameters are given as
Input 1,2,3,4,n
Similarly, the output parameters are given as
output: -6,-8,-10,-12
So, we have the following table of values
1,2,3,4,n
-6,-8,-10,-12
From the above table of values, we have the following parameters
Sequence type = arithmetic sequenceFirst term, a = -6Common difference, d = -2The output value for the input n is then calculated as
Tn = a + (n - 1) * d
So, we have
Tn = -6 + (n - 1) * -2
Open brackets
Tn = -6 - 2n + 2
Evaluate the like terms
Tn = -4 - 2n
Hence, the output value for the input n is -4 - 2n
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Susan spent 3/8 on school bag and spend 2/5 of the remaining spend on fountain pen. how much is the school bag cost?
Answer:
30 dollars
Step-by-step explanation:
3/8 and 2/5 is 31/40 and 300.00
Answer is 30.775
Answer: 30 dollars
Step-by-step explanation: cant put explanation right now in a rush! make the other person brainliest they deserve it! :)
To prepare for a bake-Off, Sebastian used 830 grams of flour each day for 4 weeks. How many kilograms did Sebastian use in those 4 weeks?
1 q = 0.001 kg
If 830 grams = 1 day.
23.24 kilograms = 4 weeks.
23.24 kilograms were used by Sebastian in those 4 weeks.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
Example: 3x = 4 is an equation.
We have,
830 grams is used each day.
830 grams = 1 day ___(1)
1 week = 7 days
Multiply 4 on both sides.
4 weeks = 28 days ___(2)
From (1) and (2) we get,
4 weeks = 28 days
4 weeks = 28 x 1 day
4 weeks = 28 x 830 grams
4 weeks = 23240 grams ____(3)
1000 grams = 1 kg
Multiply both sides by 23240/1000.
23240 grams = 23.24 kilograms _____(4)
From (3) and 94) we get,
4 weeks = 23.24 kilograms
Thus,
23.24 kilograms were used by Sebastian in those 4 weeks.
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Given the line 2x +3y =4 what is the y intercept
Answer:
(0, 4/3)
Step-by-step explanation:
2x +3y =4
3y =4 -2x
y = 4/3 - 2/3x
y = -2/3x + 4/3
y = -2/3(0) + 4/3
y = 4/3
-----------
or just plug in 0 for x from the start
2(0) + 3y = 4
3y = 4
y = 4/3
Samples of airline departure times are obtained and compared to the scheduled departure times. Major airlines are compared and their mean delay times are recorded. Identify the null and alternative hypotheses for applying an analysis of variance.
A null hypothesis is directly opposed by an alternative hypothesis. As a result, if either one of the two theories is accurate, the other is untrue.
What is the difference between null and alternative hypotheses?In statistical hypothesis testing, null and alternate hypotheses are utilized. The null hypothesis of a test always predicts no effect or no association between variables, but the alternative hypothesis reflects the effect or relationship that your research predicts.
A null hypothesis is directly opposed by an alternative hypothesis. As a result, if either one of the two theories is accurate, the other is untrue.
Based on the study question or issue that they are attempting to solve, the analyst or researcher develops a null hypothesis. The null may be distinguished in many ways depending on the question.
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help me please I suck at math because it's confusing
A reciprocal parent function represents a simple rational function, that is, a function that has the variable x as the denominator.
Hence, the answer is B.please help me answer this question
Answer:
Step-by-step explanation:
130 decrease
deltamath i need answers fast
Answer:
To stay within budget, she must use 3.9 gigabytes.
Caroline can use approximately 3.9 gigabytes of data while staying within her budget of $74 per month.
Let's assume the number of gigabytes of data Caroline can use while staying within her budget is represented by the variable "x."
The flat cost per month is $54.50, and Caroline pays an additional $5 per gigabyte.
If she wants to keep her bill at $74 per month, the equation can be set up as follows:
54.50 + 5x = 74
To solve for "x," we can isolate the variable on one side of the equation. First, subtract 54.50 from both sides:
5x = 74 - 54.50
5x = 19.50
Finally, divide both sides by 5:
x = 19.50 / 5
Simplifying the division gives us:
x = 3.9
Therefore, Caroline can use approximately 3.9 gigabytes of data while staying within her budget of $74 per month.
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30, 32, 37, 54, 67, 38, 44 what are the lower and upper bounds to identify an unusual data point. (use up to the first decimal place for your calculation: example 14.2)
The lower and upper bounds are 16.7 and 69.5 respectively.
So, the numbers are 30, 32, 37, 54, 67, 38, and 44.
In order to determine the lower bound and upper bound
Mean x' =Σ[tex]\frac{x}{n}[/tex] = 302/7 = 43.1429 = 43.1
Variance [tex]s^{2}[/tex] =Σ[tex]\frac{(x-x')^{2}}{n-1}[/tex] = 1048.86/(7-1) = 174.80952
Standard deviation = √174.80952 = 13.221555 = 13.2
Values that deviate more than two standard deviations from the mean are exceptional.
[tex]x -2s = 43.1 - 2*13.2 = 16.7[/tex] is the lower bound for uncommon values.
The upper bound that is exceptional is equal to
[tex]x + 2s = 43.1 + 2(13.2) = 69.5[/tex]
Therefore, 16.7 and 69.5 are the lower and upper bounds of given data
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Helpppppp x = – 3
y = – 1
The graphs of the equations are in the attached graph
'
How to plot the equations on the graph?Equation (2)
From the question, the equation is given as
x = -3
In the above equation, we can see that
The equation has only one variable and the highest power of the variable is 1
Since the variable is x, then it means that the line of the graph is a vertical line that passes through point x = -3
See attachment for the graph
Equation (3)
Here, we have
y = -1
Also in this equation, we can see that
The equation has only one variable and the highest power of the variable is 1
Since the variable is y, then it means that the line of the graph is a horizontal line that passes through point y = -1
See attachment for the graph
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Which of the following are solutions to the equation below?Check all that apply.x-5x+ 1 = 0A. x =5+29B. x = 5 - 292.C. x= 5+ V212D. x= -1 - 212E. x = =*+,x21F. x =5 - 2152
It is calculated using the quadratic formula
[tex]x\text{ = }\frac{-b\text{ }\pm\sqrt[]{b^2-4ac}}{2a}[/tex]In the equation
[tex]x^2-5x+1=0[/tex]a = 1, b = -5 and c = 1
Substitute the given to the quadratic formula
[tex]\begin{gathered} x\text{ = }\frac{5+\sqrt[]{21}}{2} \\ x\text{ = }\frac{5-\sqrt[]{21}}{2} \end{gathered}[/tex]Divide $180 in the ratio of 2 : 3 : 4
Answer:
40,60,80
Step-by-step explanation:
let 2x 3x and 4x
9x=180
x=20
2x=40
3x=60
4x= 80
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Please help i need an explanation i have no idea how to do this.
Answer:
f(2)=3
f(1)=2
f(-1)=0
f(0)=1
Step-by-step explanation:
f(x)=y
when finding what f(x)=? you would see whats in the () and find that number on the x-axis. Find where the line hits on the x-axis and find the number on the y-axis that correlates with it. The y-axis number is what goes the the ().
when finding whats in the () you find what number it equal to on the y-axis and what is in the () would be the number that the line is on on the x-axis
2x+y = -7
-4x -5y =23
Answer:
x = -2
y = -3
Step-by-step explanation:
If it is a simultaneous equation.
2x+y = -7-----equation 1
-4x -5y =23-----equation 2
5(2x+y = -7)
-4x -5y =23
10x+5y = -35
-4x -5y =23 +5y cancel -5y
10x= -35
-4x=23
6x = -12
x = -2
Solving for Y
Substitute the value of x in equation one or two.
equation two = -4x -5y =23
-4x -5y =23
-4(-2) -5y =23
8-5y=23
-5y = 23-8
-5y = 15
y = -3
If F, G, and H are the midpoints of the sides of triangle JKL, FG=37, KL=48, and GH=30, find each measure. FH=, JL=, KJ=, FJ=
DCM, this is the solution:
According to the midpoint theorem, the line connecting the midpoints of two sides is parallel to the third and its length is half of the third side.
Therefore,
KJ = 2 * GH
KJ = 2 * 30
KJ = 60 and FJ = 30
JL = 2 * FG
JL = 2 * 37
JL = 74
3a. Sketch the line that goes through the points A(4,3) and B( 8, 1)Find the slope and the equation of line AB3b. Find the length of segment AB3c. Find the midpoint of segment AB
Hello! First, let's remember:
We can write a point as a cartesian coordinate (x, y).
The exercise has given two points, A(4,3) and B(8,1).
a. Slope:To calculate the slope of a line, we can use the formula below:
[tex]\text{Slope}=\frac{y_2-y_1}{x_2-x_1}[/tex]Let's consider A equal to the first point (4, 3) = (x1, y1), and B will be the second point (8, 1) = (x2, y2). Replacing these values in the formula:
[tex]\text{Slope}=\frac{1_{}-(3)_{}}{8-(4)}=\frac{-2}{4}=-\frac{1}{2}[/tex]b. Lenght of segment AB:To find this length, we have to use another formula. Now we will calculate the distance between two points:
[tex]\text{Distance}=\sqrt[]{(x_2-x_1)^2+(y_2_{}-y_1_{})^2}[/tex]Still considering A (4, 3) = (x1, y1), and B (8, 1) = (x2, y2), let's replace the values in the formula:
[tex]\begin{gathered} \text{Distance}=\sqrt[]{(8_{}-4_{})^2+(1-3_{})^2} \\ \text{Distance}=\sqrt[]{(4_{})^2+(-2_{})^2} \\ \text{Distance}=\sqrt[]{(16^{}+4)^{}} \\ \text{Distance}=\sqrt[]{20} \\ \text{Distance}=2\sqrt[]{5} \end{gathered}[/tex]c. Midpoint of segment AB:This value will be the medium point. To calculate it, we'll use another formula:
[tex]x_m=(\frac{x_1+x_2}{2}+\frac{y_1+y_2_{}_{}}{2})[/tex]Still considering the same values for (x1, y1) and (x2, y2), let's replace them:
[tex]\begin{gathered} x_m=(\frac{8+4_{}}{2},\frac{3+1_{}}{2}) \\ \\ x_m=(\frac{12_{}}{2},\frac{4_{}}{2}) \\ \\ x_m=(6,2) \end{gathered}[/tex]The midpoint of segment AB will be at point X (6, 2).
You can see this line represented in a cartesian plan below:
For f(x) = 2x² - 1, what is (f. f)(−2)?
(See image below)
f is 7. The process of composing small units into larger units that solve larger problems is known as composition.
What is Composition function?A function composition is an operation that produces a new function, h, by combining two functions, f and g, in such a way that h(x) = g(f(x)). That is, function g is being applied to function x.In essence, one function is applied to the output of another. A composite function is one that is reliant on another.A composite function is created when one function is substituted for another. For example, f(g(x)) is the composite function formed by replacing x in f with g(x) (x). The expression f(g(x)) is pronounced "f of g of x."Therefore,
f = 2 (-2)² - 1 : f = 7
Steps
f = 2 (-2)² - 1
2 (-2)² =2³
f = 2³-1
2³ = 8
f = 8-1
Subtract the numbers:
8 - 1 = 7
f = 7
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what is (9x10^4) (6x10^-7)
The simplified form of the expression ( 9 × 10⁴ ) × ( 6 × 10⁻⁷ ) in scientific notation form is 5.4 × 10⁻²
How to multiply numbers in scientific form?The scientific notation form is simply a method of presenting larger or smaller numbers in a more simple way.
Given the data in the question;
( 9 × 10⁴ ) × ( 6 × 10⁻⁷ )
First, multiply 9 and 6
( 9 × 10⁴ ) × ( 6 × 10⁻⁷ )
9 × 6 ( 10⁴ × 10⁻⁷ )
54( 10⁴ × 10⁻⁷ )
Next, multiply 10⁴ × 10⁻⁷ by adding the exponents.
Using power rule mᵃ × mᵇ = mᵃ ⁺ ᵇ
54( 10⁴ × 10⁻⁷ )
54( 10⁴ ⁺ ⁻⁷ )
54( 10⁴ ⁻⁷ )
Subtract 7 from 4
54 × 10⁻³
Move the decimal point in 54 to the left by place and increase the power of 10⁻³ by 1
5.4 × 10⁻³ ⁺ ¹
5.4 × 10⁻²
Therefore, the simplified form is 5.4 × 10⁻².
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Let the roots of the polynomial x^2 + 7x - 2 be a and b Evaluate a^2 + b^2.
First gets brainliest, ty!
Answer:
53
Step-by-step explanation:
You want the value of a^2 +b^2, given that 'a' and 'b' are roots of the polynomial x^2 +7x -2.
FactorsIf the roots are 'a' and 'b', then the factored form is ...
(x -a)(x -b) = x^2 -(a+b)x +ab
Comparing this to the given polynomial, we see that ...
-(a+b) = 7
ab = -2
Desired expressionThe expression a^2 +b^2 can be written as the sum ...
a^2 +b^2 = a^2 +2ab +b^2 -2ab = (a+b)^2 -2ab
Using the values of (a+b) and ab from above, we see that ...
a^2 +b^2 = (-7)^2 -2(-2) = 49 +4 = 53
The given expression has a value of 53.
Write an expression to represent the perimeter of the figure below: Do NOT use spaces in your answer.
The expression that represents the perimeter of the figure is 6x - 2
How to find the perimeter of a figure?The figure above is a rectangle. A rectangle is a quadrilateral that has opposite sides equal to each other. Opposite sides are also parallel to each other.
Therefore, the perimeter of a rectangle is the sum of the sides of the rectangle.
Hence,
perimeter of the rectangle = 2(l + w)
where
l = lengthw = widthTherefore,
l = 2x - 3
w = x + 2
Hence,
perimeter of the rectangle = 2(2x - 3 + x + 2)
perimeter of the rectangle = 2(2x + x - 3 + 2)
perimeter of the rectangle = 2(3x - 1)
Therefore,
perimeter of the rectangle = 6x - 2
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a computer is rendering two scenes. the computer has already rendered 540 thousand pixels of a kitchen scene and renders another 90 kpx each minute.
the computer has rendered 960 kpx of a garden scene and renders 60 kpx more pixels each minute
after how many more minutes will the scenes have the same amounts rendered?
A computer is rendering two scenes then after 14 minutes of the scenes have the same amounts rendered.
As given in the question,
As per condition:
Computer rendered 540 thousands pixels of a kitchen scene and renders another 90kpx each minute:
The expression for the kitchen is illustrated as 540 + 90t
Computer rendered 960kpx of a garden scene and renders 60kpx more pixels each minute
The expression for the garden is illustrated as 960 + 60t
For the scenes have the same amounts rendered is given by :
540 + 90t = 960 + 60t
Collect like terms
90t - 60t = 960 - 540
⇒30t = 420
⇒t = 420/30
⇒t = 14
Therefore, a computer is rendering two scenes then after 14 minutes of the scenes have the same amounts rendered.
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