Answer:
P(x) = (x - 3)(x + 3)(x + 2)(x - 1)
Answer:
Step-by-step explanation:
Solution:To write a polynomial in standard form, simplify and then arrange the terms in descending order.Expand ( x2 − 9 )( x + 2 ) using the FOIL Method.Simplify each term.
Simplify each expression. select the correct answer from the dropâ€""down menu. −6(3i)(−2i) = 2(3 − i)(−2 4i) = 2i(4 − 5i) =
By simplifying each expression:
−6(3i) (−2i) = -36
2(3 − i)(−2 + 4i) = -4+28i
2i(4 − 5i) = 10+8i
Simplifying each expression step by step:
1. −6(3i)(−2i) = -6 (-6i²)
= 36 (-1)
= -36
2. 2(3 − i)(−2 + 4i)
= 2 x (-6+12i+2i-4i²)
= -12 +24i +4i - 8i²
= -12 - 8i² +28i
=-12 - 8 (-1) + 28i
= -4+28i
3. 2i(4 − 5i)
= 8i - 10i²
= 8i -10(-1)
= 10+8i
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ethical research methods include multiple choice selecting samples that you know to be biased. always using a census as samples as not reliable. using only convenience sampling to select samples. doing your best to select an unbiased sample.
Ethical research methods include D. doing your best to select an unbiased sample.
What is research ethics?In research, ethical considerations are a set of principles that guide your research designs and practices. Active consent, informed consent, anonymity, confidentiality, potential for harm, and results communication are among these principles.
The standards of conduct for scientific researchers are governed by research ethics. To protect the dignity, rights, and welfare of research participants, it is critical to follow ethical principles. Many ethical norms in research, for example, guidelines for authorship, copyright and patenting policies, data sharing policies, and peer review confidentiality rules are intended to protect intellectual property interests while encouraging collaboration.
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y= 3cos 4 0(theta) -1
The graph of the cosine function y = 3cos(4θ) - 1 is given by the image presented at the end of the answer.
What is a cosine function?The cosine function is defined by the rule presented as follows:
g(x) = acos(bx+c)+d.
The coefficients have the roles listed as follows:
a is the amplitude of the cosine function.b: The period of the cosine function is of 2π/b.c is the phase shift of the cosine function.d is the vertical shift of the cosine function.In this problem, the definition of the function is:
y = 3cos(4θ) - 1
Considering the amplitude of 3 and the vertical shift of -1 the function will oscillate between:
-4 and 2.
(Without the vertical shift it would be between -3 and 3).
The period of the function will be as follows:
2π/b = 4
b = 2π/4
b = π/2.
Considering these features, the graph is given at the end of the answer.
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Using subsittuftion, which value of x makes this equation true? z+ ²/² = 1 0z=1/1 0 z=² 10 z=2/20 0 Z=!
Answer:
Step-by-step explanation:
Some of the other answers are good examples of solving a system of three equations in three unknowns, which is what this problem is asking. Though the simplest way to solve this problem is actually to notice that, if we sum the three equations, we get:
X + Y = 10
X + Z = 20
+ Y + Z = 24
----------------
2X + 2Y + 2Z = 54
Factoring out the 2, we have 2(X + Y + Z) = 54, and dividing both sides by 2 reveals that X + Y + Z = 27.
This won't always work when you're solving three equations in three unknowns, but it's a trick that shows up frequently enough on assignments, standardized tests, etc. that it's worth mentioning.
In a survey of 500 women, 750 answered that they like soccer. What percentage of women answered that they don't even like soccer?
The percentage of women that answered that they don't even like soccer is 85%
How to calculate the percentage?From the information, in the a survey of 500 women, 75 answered that they like soccer. Those that don't like soccer will be the difference between the values. This will be:
= 500 - 75
= 425
Therefore, the percentage of women that answered that they don't even like soccer will be:
= Those that don't like soccer / Total number × 100
= 425/500 × 100
= 85%
The percentage is 85%.
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Complete question
In a survey of 500 women, 75 answered that they like soccer. What percentage of women answered that they don't even like soccer?
in a hypothesis test, we choose a 5% level of significance. which p-value is statistically significant at this level?
The value of p that is statistically significant at a 5% level of significance refers to a p-value of 0.05 or less.
The fixed probability of incorrectly eliminating the null hypothesis when it is actually true is what is meant by the term "level of significance." The probability of type I error is defined as the degree of significance, which is decided by the researcher using the results of the error. The statistical significance is measured by the level of significance. It specifies whether or not the null hypothesis is thought to be true. The null hypothesis is anticipated to be shown as untrue or rejected if the result is statistically significant.
The symbol indicates the degree of significance (alpha). Therefore, the following definition applies to the level of significance:
Level of Significance = p (type I error) =
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Solve using method of elimination (full working out step by step)
-4x + 3y = 31
4x- y = -21
Answer:
answer in the picture step by step
Find the distance between
(4, 8) and (-2, 2).
Answer:
[tex]6\sqrt{2}[/tex]
Step-by-step explanation:
Using the distance formula,
[tex]\sqrt{(4-(-2))^2+(8-2)^2} \\ \\ =\sqrt{6^2+6^2} \\ \\ =6\sqrt{2}[/tex]
Answer:
6(sqrt(2))
Step-by-step explanation:
Use the "distance formula" (sqrt((x2-x1)^2 - (y2-y1)^2)), plugging in (4,8) for x1 and y1, and (-2,2) for x2 and y 2
What is the slope and equation of a line that is perpendicular to the y-axis and passes through the point (3,12)
A. The slope is undefined and the equation of the line is y=12.
B. The slope is zero and the equation of the line is x=3.
C. The dlope is zero and the equation of the line is y=12.
D. The slope is undefined and the equation of the line is x=3.
Slope equals the change in the vertical (Y value) divided by the change in the horizontal (X value), the slope of a horizontal line is zero and equation of line is Y =12. So option C is correct.
What is equation of line?A straight line's general equation is y = mx + c, where m is the gradient and y = c is the value at which the line intersects the y-axis. This value c is known as the y-axis intercept.
Here,
Since the Y-axis is vertical, a line perpendicular to it would be horizontal.. The slope of a horizontal line is zero, because slope is the change in the vertical (Y value) divided by the change in the horizontal (X value), and the vertical coordinate does not change from the -3 of the point given.
If we start with the slope-intercept form of an equation of a line
Y = mX + b,
we can write Y = 0X + (12)
Y =12
Slope is the vertical change (Y value) divided by the horizontal change (X value); the slope of a horizontal line is zero, and the equation of the line is Y =12.
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Find the discriminant of the following quadratic equation and indicate the nature of the solutions. Then find the solutions to the quadratic equation. Make sure solutions are simplified! 8x² + 15x = 7x - 4
Answer:
-64
Step-by-step explanation:
Start by moving everything to the left side making the equation equal 0. Then combine like terms.
Find g(x), where g(x) is the translation 1 unit left of f(x)=9x–8.
Where g(x) is the translation 1 unit left of f ( x ) = 9x – 8 then g(x) is
g (x ) = 9x + 1What is translation?Translation refers to a type of transformation that involve a straight line movement.
Movements as seen in translation includes
leftrightupdownThe up and down movements are on the vertical direction controlled by the y coordinate.
The left and right movements are on the horizontal direction controlled by the x coordinate.
When translating a graph, adding units moves the graph to the left and removing units moves the graph to the right.
hence we say
f(x) = 9x – 8
g(x) = f(x + 1)
= 9(x+1) – 8
= 9x + 9 - 8
= 9x + 1
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the measure of the middle ordinate of a yaw mark is 6 ft. the radius of the arc is 70 ft. what was the length of the chord used in this situation? round the answer to the nearest tenth of a foot.
The length of the chord used in this situation is approximately 40.54 ft.
To find the length of the chord used in the situation, we can use the formula for the chord length in a circular arc:
Chord length = 2√(r² - (r - h)²)
where r is the radius of the arc and h is the measure of the middle ordinate.
Given that the radius of the arc is 70 ft and the measure of the middle ordinate is 6 ft, we can substitute these values into the formula:
Chord length = 2√(70² - (70 - 6)²)
Chord length = 2√(4900 - 4489)
Chord length = 2√(411)
Chord length ≈ 2 * 20.27
Chord length ≈ 40.54 ft
Therefore, the length of the chord used in this situation is approximately 40.54 ft.
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Which equation can equal 107 for some value of n or x? t(n)= 2n + 7 or f(x) = 2x + 7
Ot(n)
Of(x)
O neither
O both
For some n or x value, neither equation can equal 107. f(x) = 2x + 7 or
t(n) = 2n + 7.
What is Function Notation?Function notation is a method for writing functions that are simple to read and understand. When we use function notation, the independent variable is typically x, and the dependent variable is F. (x).Notation for Functions When expressing a function as an equation, it is often written as "f(x)." When creating a table of values for an equation, such as y = 5x - 1, we use the rule "multiply by five and subtract one" to transform an input x value into the single resulting y value.Function notation is a method for writing functions that are simple to read and understand. When we use function notation, the independent variable is typically x, and the dependent variable is F. (x)To learn more about Function Notation, refer to:
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PR is a chord of a circle Center 0 and radius 20CM - POR = 120° calculate (a) length of the Chord PR (b) length of are PQR
Answer:
i have the similar question just radius is changed frm 12 to 20 cm..
hopefully this will help u ...^_^
Helppppppppppppp Thxs ‼️
Answer:
False
Step-by-step explanation:
If is a real number and m and n are positive integers
I need what x equals
Answer: x=143
Step-by-step explanation: the ratio is 1:13 so 11*13=143
Answer: Don't take my word wait until someone else says something.
Step-by-step explanation: i think it is 134 or around that.
Linda had 45 fliers to post around town. Last week, she posted 1/3 of them. This week, she posted 3/5 of the remaining fliers. How many fliers has she still not posted?
Answer:
Step-by-step explanation:
The number of fliers that he has not posted is 9
What is proportion?
Proportion can be defined as the mathematical comparison of two elements or numbers.
From the information given, we have that;
• Total number of fliers is 45
• First week, 1/3 of the floors were posted
• This week, 3/5 of the remaining were posted.
To determine the number of fliers remaining, we have that;
Remaining fliers for the First week
= 45 × 1/3
Multiply and find the quotient
= 15 fliers
Fliers remaining after the last week
= 15 × 3/5
Multiply and find the quotient
= 45/5
= 9 fliers
Thus, the number of fliers the he has not posted is 9
The radius of a circle is 15 inches. What is
the circumference of the circle? Write
your answer using T.
Answer: 30[tex]\pi \\[/tex] or 94.247
Step-by-step explanation:
Circumference=2[tex]\pi[/tex]r
2·[tex]\pi[/tex]·15=30[tex]\pi[/tex]=94.247
Answer:
94.2in.
Step-by-step explanation:
The formula for circumference is 2radius x π
π≈3.14
So we can say:
30in.x3.14=circumference
30x3.14=94.2
94.2in=circumference
(i.e. I don't know what you mean by using T.)
can someone help me really quick
Answer:
100 meters every minute
Step-by-step explanation:
d=100(1)
d=100
Hopes this helps please mark brainliest
Which equation represents a line which is parallel to the y-axis?
A.x=−4y
B.x=−8
C.y=x−3
D.y=−7
The equation that represents a line which is parallel to the y - axis would be B. x = −8.
Which lines are parallel to the y - axis?When a line is parallel to the y - axis, this means that the line does not cross the y - axis in any way and is both vertical and straight because the y - axis is vertical and straight.
Any line that is parallel to the y - axis will need to be expressed in terms of terms of x because the y axis is expressed in terms of x as x = 0. From the options, the only equation expressed in terms of x is x = -8. This line is therefore parallel to the y - axis.
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Identify the kind of sequence shown: 2, 7, 14, 23, 34 ... *
O Arithmetic
O Geometric
ONeither
Answer:
(c) Neither
Step-by-step explanation:
You want to know the kind of sequence that as terms 2, 7, 14, 23, 34, ....
DifferencesThe first differences of terms of this sequence are ...
7 -2 = 5
14 -7 = 7
23 -14 = 9
34 -23 = 11
These difference are not constant, so the sequence is not arithmetic.
These differences do not have a common ratio, so the sequence is not geometric.
Second differencesHowever, these differences do have a common difference:
7 -5 = 2
9 -7 = 2
11 -9 = 2
The fact that second differences are constant means this is a polynomial sequence of second degree. It is a quadratic sequence, neither arithmetic nor geometric.
__
Additional comment
The sequence is described by the quadratic equation ...
a(n) = n² +2n -1
PLEASEEE HELPPP
Find ALL missing angles.
will give brainly
Step-by-step explanation:
E=29
G = 180-29-107= 44
F = 180-29-29 = 122
H = 180-29-29 = 122
S = 180-107 = 73
M = 107
C = 73
D = 107
T = 73
B = 107
N = 73
K = 44
A = 360-44-44-107 = 165
O = 180-44 = 136
P = 44
J= 136
People travel by bus or by train from hiraddug station on tuesday 420 people travelled by bus from the station the ratio of the number of people travelling by bus to the number of people travelling by train was 20:17 calculate the number of people who travelled by train from the station on tuesday
The number of people travelled by train from the station on tuesday is 357.
Let us assume the number of people who travelled by train from the station on tuesday be x. Using the concept of ratio and proportion to solve and calculate x.
Forming the ratio-
20 : 17 = 420 : x
Solving the ratio and proportion for the value of x
x = (420 × 17) ÷ 20
Performing multiplication in numerator
x = 7140 ÷ 20
Performing division on Right Hand Side of the equation
x = 357
Therefore, based on the information, 357 people used to travel.
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a bag contains 14 blue, 6 red, 12 green, and 8 purple marbles. 25 marbles are removed from the bag randomly. how many of the removed marbles were green if the chance of drawing a green marble from the bag is now 3/5?
The number of green marbles removed from the bag is 3.
We will use the Formula of Probability:
In mathematics, the probability is defined as the ratio between the number of favorable outcomes and the total number of outcomes.
p(A) = n(A) / n(S)
p(A) is the probability of event A.
n(A) is the number of outcomes with respect to A.
n(S) is the total number of possible outcomes.
Given in the Question:
A bag contains 14 blue, 6 red, 12 green, and 8 purple marbles.
So the total number of marbles in the bag = 40
It is given that 25 marble are removed from the bag randomly
thus, the remaining marbles in the bag = 40 - 25 = 15
It is given that the probability of drawing a green marble from the bag after removing 25 marbles is 3/5.
So, for finding the number of green marbles in the bag after removing we can write,
n(A) = p(A) × n(S)
here, A is the event of drawing the number of green marbles and p(A) = 3/5 and n(s) = 15 (after removing)
Thus, the number of green marbles in the bag after removing = 3/5 × 15
So, the number of green marbles left in the bag = 9
then, the green marbles removed from the bag = 12 - 9 = 3.
Therefore, only 3 green marbles are removed from the bag.
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A line passes through the points (–4, –1) and (8, 2). What is its equation in slope-intercept form?
I always get it wrong when I write it out
[tex](\stackrel{x_1}{-4}~,~\stackrel{y_1}{-1})\qquad (\stackrel{x_2}{8}~,~\stackrel{y_2}{2}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{2}-\stackrel{y1}{(-1)}}}{\underset{run} {\underset{x_2}{8}-\underset{x_1}{(-4)}}} \implies \cfrac{2 +1}{8 +4} \implies \cfrac{ 3 }{ 12 } \implies \cfrac{1 }{ 4 }[/tex]
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-1)}=\stackrel{m}{ \cfrac{1 }{ 4 }}(x-\stackrel{x_1}{(-4)}) \implies y +1 = \cfrac{1 }{ 4 } ( x +4) \\\\\\ y+1=\cfrac{1 }{ 4 }x+1\implies {\Large \begin{array}{llll} y=\cfrac{1 }{ 4 }x \end{array}}[/tex]
Why can the absolute value function be written as a piecewise function?
It's because this requires two different processes or pieces, the absolute value function is an example of a piecewise function. A piecewise function is a function in which more than one formula is used to define the output over different pieces of the domain.
what is the gcf of 70x^3z and 45y^4z^2
The GCF of the expressions given as 70x³z and 45y⁴z² is 5z
How to determine the GCF of the expressions?From the question, we have the following expressions
70x^3z and 45y^4z^2
Rewrite the given expression as follows
This is represented using
70x³z and 45y⁴z²
Factor out z from the expression
So, we have the following representation
70x³ and 45y⁴z => Factored z
Factor out 5 from the expression
So, we have the following representation
14x³ and 9y⁴z => Factored 5z
So, we have
Factored = 5z
This represents the GCF
Hence, the GCF is 5z
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In triangle ABC, m∠B = (4x − 15)° and the measure of the exterior angle to ∠B is (14x − 21)°. Find m∠B.
12°
32°
33°
36°
Applying the definition of exterior angle, the measure of angle B is: c. 33°
What is the Exterior Angle of a Triangle?When a side of a triangle is extended through an interior angle, the angle formed is called the exterior angle of a triangle.
The angle to the exterior angle of the triangle, when added to the exterior angle will have a sum of 180 degrees, which means their supplementary angles.
Therefore:
4x - 15 + 14x - 21 = 180
4x + 14x - 15 - 21 = 180
18x - 36 = 180
18x = 180 + 36
18x = 216
18x/18 = 216/18
x = 12
m∠B = 4x - 15 = 4(12) - 15 = 33°
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Answer:
its B. 33
Step-by-step explanation:
Angie is baking blueberry pies to sell at her bakery. She starts with 3 7/10 cartons of blueberries, of which she uses 1/3 for the first batch of pies. How many cartons of blueberries does Angie use for the first batch of pies?
Answer:
1 carton
Step-by-step explanation:
3 (7/10)= 21/10
1/3 of 21/10= 7/10
7/10=1 carton
1. Which of the following equations exemplifies the Additive Identity Property?
A) 1+(7+8)=(1+7)+8
B) 8+1=1+8
C) 33+0=33
D) 14+3=7+10
2. Which of the following equations exemplifies the Multiplicative Identity Property?
A) 9.5x1=9.5
B) 3x10=2x15
C) 3x0=0x3
D) 9(5x6)=(9x5)6
i got A for 2. but im confused on the first
1. the equation that exemplifies the additive identity property is: C. 33 + 0 = 33.
2. The equation that exemplifies the multiplicative identity property is: A. 9.5 × 1 = 9.5.
What is the Additive Identity Property?The additive identity property states that the sum of adding zero to any number will give you the same number itself.
For example, 4 + 0 = 0.
What is the Multiplicative Identity Property?The multiplicative identity property states that a number multiplied by 1 will always give you a product that is the same number itself.
For example, 4 × 1 = 4.
1. The equation, 33 + 0 = 33, shows the additive identity property, because the sum is the same number itself after 0 is added to it.
2. The equation, 9.5 × 1 = 9.5, also shows the multiplicative identity property.
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