Answer:
3x³ is a polynomial of degree
The degree of the polynomial 3x³ is 3
dont mind that i clicked on one lol but SOMONE PLEASE HELP RAHHAHAHAH
Here are the expressions that are equivalent to - 15 + 6x
What is an equivalent expression?
Expressions that are the same even if they may appear slightly different are called equivalent expressions. When you simplify equivalent expressions, they will all return the same value if you plug in the same variable value.
3(5 - 2x)
6x + (- 15)
15 + (- 6x)
The first one, -3(5-2x), can be simplified as -35+32x = -15 + 6x
The second one 6x + (- 15) is already in the same form as - 15 + 6x
The third one 15 + (- 6x) is just - 15 + 6x when you change the sign of -6x
The other expressions are not equivalent as they are not equal to - 15 + 6x
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Patel is solving 8x2 + 16x + 3 = 0. Which steps could he use to solve the quadratic equation? Select three options. 8(x2 + 2x + 1) = –3 + 8 x = –1 Plus or minus StartRoot StartFraction 5 Over 8 EndFraction EndRoot x = –1 Plus or minus StartRoot StartFraction 4 Over 8 EndFraction EndRoot 8(x2 + 2x + 1) = 3 + 1 8(x2 + 2x) = –3
The three steps which Patel could use to solve the quadratic equation include the following:
A. 8(x² + 2x + (2/2)²) = -3 + 8.
B. x = -1 ±√5/8
E. 8(x² + 2x) = -3.
How to solve the quadratic equation?In order to solve the given quadratic equation, we would use the completing the square method as follows;
Separating the variables in the quadratic equation from constant, we have the following;
8x² + 16x + 3 = 0
8x² + 16x = -3
By factorizing the common variables in the quadratic equation from constant, we have the following;
8(x² + 2x) = -3 (step 1).
By completing the squares in the brackets and then balancing the expression on the right-hand side, we have the following;
8(x² + 2x + (2/2)²) = -3 + 8 (step 2).
8(x² + 2x + 1) = -3 + 8
8(x + 1)² = 5
Dividing both sides of the quadratic equation by 8, we have the following;
(x + 1)² = 5
Taking the square root of both sides of the quadratic equation, we have the following;
(x + 1) = ±√5/8
x = -1 ±√5/8 (step 3).
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a Sin CA-45°) = - 言 √2 (cos A-SinA)
Answer:-√2 sin (45° - A)
Step-by-step explanation:
(ANYONE? PLS, HELP I NEED THE ANSWER RIGHT NOW!)
A rental store at the beach has 56 umbrellas and 24 surfboards. Which ratio describes the relationship of surfboards to umbrellas?
A: 56:24
B: 7:3
C: 3:8
D: 3:7
b because you are dividing
Answer: D (3:7)
Step-by-step explanation:
You need to simplify the 56:24 until fully simplified (using the highest common factor). Flip this so it is instead surfboards to umbrellas rather than umbrellas to surfboards.
56/8 = 7
24/8 = 3
How do you decide which technique to use when solving an equation?
Completing the square – can be used to solve any quadratic equation. It is a very important method for rewriting a quadratic function in vertex form. Quadratic formula – is the method that is used most often for solving a quadratic equation.
What is equation?In its most basic form, an equation is a mathematical statement that indicates that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical statement made up of two expressions joined by an equal sign is known as an equation. 3x - 5 = 16 is an example of an equation. We get the value of the variable x as x = 7 after solving this equation.
Here,
Any quadratic problem may be solved by completing the square. It is a critical way for expressing a quadratic function in vertex form. The quadratic formula is the most often used method for solving a quadratic problem.
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four-part spinner is spun once. spinner with four parts labeled Q, R, S, and T List the sample space for the experiment. S = {Q, R, R, T} S = {Q, R, S, T} S = {R, A, T} S = {S, Q, Q}
The list of the sample space is s = {Q, R, S, T}. Option B is the correct option.
What is the sample space?
A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results. Discrete or finite sample spaces are those that have a finite number of outcomes.
The random experiment's sample spaces are written in curly brackets, "{ } ".
Given that a spinner wheel has four parts. It is labeled with the names Q, R, S, and T.
The elements of sample space are Q, R, S, and T.
The sample space is a set, thus write the elements in curly brackets.
The sample space is s = {Q, R, S, T}.
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What's the value of the following game: You roll a 100 sided die with sides 1-100. You can either take this number of dollars, or pay $1 to roll again. You can keep on paying $1 to roll for as long as you like.
You roll a 100 sided die with sides 1-100. The optimal strategy is to stop and cash out only if the dice shows 87 or higher , else keep spending $1 to roll again n again, leading to expected winning of $87.35.
Can a die have 100 sides?The 100-sided die Lou Zocchi created is known by the trademark "Zocchihedron," and it made its debut in 1985. It assumes the appearance of a ball with 100 flattened planes, unlike other polyhedran dice. It is also known as "Zocchi's Golfball."
optimal strategy is to stop and take dollar if roll > x, and to pay $1 and continue when roll <= x (as applicable to all/any turn/roll). We need to find x in order to maximize E.
Assuming optimal expected value to be E, once you cast the first roll, there are two possible scenario:
1) we get roll value > x with probability (100-x)/100, and decide to take that amount, expected winning = (x+1+100)/2 (that amount varies uniformly from x+1 to 100 in this case, take the average)
2) we get roll value <= x with probability x/100 and decide to continue, with future expected winning again = E and 1$ loss in fee. Total expected winning in this scenario = E-1
[math]E=\frac{(100-x)}{100}\times\frac{ (x+1+100)}{2}[/math][math] + \frac{x}{100}\times(E-1)[/math]
[math]E = \frac{(100-x)(101+x) - 2x}{200 - 2x}[/math]
maximizing E w.r.t. x,
dE/dx = 0
2x^2 - 400x + 19600 = 0
x = ( 400+/- sqrt(160000-4*2*19600) ) / 4
Since, 1<= x <= 100, therefore x = ( 400+ sqrt(160000-4*2*19600) ) / 4
x = 85.85786
We just have to calculate E(x=85) and E(x=86) and compare.
E((x=86) = 87.35 and E(x=85) = 87.33
so optimal strategy is to stop and cash out only if the dice shows 87 or higher , else keep spending $1 to roll again n again, leading to expected winning of $87.35.
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Marisol writes the equation 1. 6 : n=0. 16. Right your answer using an exponent. Explain how you know your answer is correct.
The equation 1.6: n = 0.16 can be written as: [tex]1.6 = 2.511^n[/tex]
And we know that this is correct because we can check that it is the equivalent by multiplying [tex]2.511^n[/tex] by itself n times which results in 1.6.
What is an exponent?
An exponent is a mathematical operation that represents the number of times a value is multiplied by itself. It is usually written as a small number raised to the power of a larger number, such as 2^3, which means 2 multiplied by itself 3 times, or 2 * 2 * 2 = 8.
To write the equation 1.6: n=0.16 using an exponent, we can divide both sides of the equation by 1.6 to get: n = 0.16/1.6 = 0.1
And then we can raise the base 10 to the power of n: [tex]10^n = 10^{0.1} = 2.511[/tex]
Hence, the equation 1.6: n = 0.16 can be written as: [tex]1.6 = 2.511^n[/tex]
And we know that this is correct because we can check that it is the equivalent by multiplying [tex]2.511^n[/tex] by itself n times which results in 1.6.
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The equation 1.6: n = 0.16 can be written as: 1.6 = [tex]2.511^n[/tex]
And we know that this is correct because we can check that it is the equivalent by multiplying [tex]2.511^n[/tex] by itself n times which results in 1.6.
What is an exponent?
An exponent is a mathematical operation that represents the number of times a value is multiplied by itself. It is usually written as a small number raised to the power of a larger number, such as 2^3, which means 2 multiplied by itself 3 times, or 2 * 2 * 2 = 8.
To write the equation 1.6: n=0.16 using an exponent, we can divide both sides of the equation by 1.6 to get: n = 0.16/1.6 = 0.1
And then we can raise the base 10 to the power of n: [tex]10^n=10^{0.1}=2.511[/tex]
Hence, the equation 1.6: n = 0.16 can be written as: 1.6 = [tex]2.511^n[/tex]
And we know that this is correct because we can check that it is the equivalent by multiplying [tex]2.511^n[/tex] by itself n times which results in 1.6.
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Suppose a, b, c, and d are constants such that a is not zero and the system below is consistent for all possible values of f and g . What can you say about the numbers a, b, c, and d?
Justify your answer. axı + bx2 = f cxı + dx2 = g
a and d are non-zero and ad = bc for the system to be consistent for all possible values of f and g.
By definition, a system is consistent if there exists a set of solutions that satisfy the equations. In this system, the constants a, b, c, and d are the coefficients of the two equations. Since the system is consistent for all possible values of f and g, then the coefficients must satisfy certain conditions. For example, a and d must both be non-zero in order for the equations to be solvable. Additionally, the coefficients of both equations must be in proportion to each other, meaning that ad must equal bc. This is necessary for the equations to have the same slope, which is necessary for them to be solvable. Thus, we can conclude that a and d are non-zero and ad = bc for the system to be consistent for all possible values of f and g.
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What function f(x) has the property where f'(x) is equal to 2f(x)?
Answer:
u not get the answer
Step-by-step explanation:
You decide to make 10 lb of a peanut-and-raisin mixture to sell at the class snack sale. You can buy peanuts for $2.50 per pound and raisins for $1.75 per pound. If you want to sell the mixture for $2 per pound, how many pounds of peanuts and how many pounds of raisins should you use
On solving the provided question, we can say that by linear equation 10/3 pounds of peanuts and how many pounds of raisins should you use.
What is a linear equation?A linear equation is one that has the form y=mx+b in algebra. B is the slope, and m is the y-intercept. It's usual to refer to the previous clause as a "linear equation with two variables" because y and x are variables. The two-variable linear equations known as bivariate linear equations. There are several instances of linear equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. It is referred to as being linear when an equation has the form y=mx+b, where m stands for the slope and b for the y-intercept.When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.
here,
the linear equation that is formed is
10p +7 (10 - p) = 80
10p + 70 - 7p = 80
3p = 70
p = 10/3
10/3 pounds of peanuts and how many pounds of raisins should you use
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write the equation of the cirlce, in standard form which has endpoints of a diameter at (-5,-5) and (7,2)
The equation of the circle in standard form is ( x-h )2 + ( y-k)2 = r2. we can get the equation by putting the values of x coordinates and y coordinates of the circle.
A circle can be defined as a 2-D closed geometrical shape whose boundary points are at an equal distance from the center of the geometry.
Equation of the circle in standard form is,
( x-h )2 + ( y-k)2 = r2
we have to find the the x-coordinate (h) & y-coordinate (k) of the center of the circle by taking the summation of x-coordinates & y-coordinates of the endpoints of the diameter respectively and dividing by 2.
here, h = ( x1 + x2 ) / 2
k = ( y1 + y2 ) / 2
here endpoints of a diameter are at (-5,-5) and (7,2). Calculate the distance between (-5,-5) and (7,2) using the distance formula and divide by 2 to get the circle's radius. Substitute the center coordinates and radius into a standard form to get the equation of the circle.
so, h = -5 + 7 / 2 = 1
k = -5 + 2 / 2 = -3/2
Putting all the values we get the equation of circle in standard form.
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P=-3w+9 solve for w
Pls help
Isolating for a variable: rearranging an equation so that a variable is on its own. This is done by performing inverse operations until a variable is isolated.
[tex]P-9=-3w+9-9[/tex]
[tex]p-9=-3w[/tex]
[tex]\frac{p-9}{-3}=\frac{-3w}{-3}[/tex]
[tex]-\frac{P-9}{3} =w[/tex]
The length of ome material i 8. 3m correct to 1 decimal place. Write the error interval for the length ,x, of the material
The error interval for the length ,x, of the material is [8.25, 8.35)
We know that error interval is nothing but the limits of accuracy when a number has been rounded.
It is the range of possible values that a number could have been before a number was rounded.
Here, The length L of a some material is 8.3 meters.
The length of the material has been rounded to 8.3 to one decimal place.
The number below 8.3 is 8.2 and the number above is 8.4
Consider a half way between 8.2 and 8.3 for the lower bound and half way between 8.3 and 8.4 for the upper bound.
This means, the length of the material must have been between 8.25 meters and 8.35 meters to round to 8.3 meters to one decimal place.
Therefore, the required error interval would be 8.25 ≤ x < 8.35
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Given the following set of numbers, use the measures of central tendency to
identify the type of distribution. Defend your answer.
70 67 75 60 67 65
The measure of the central tendency is 67 as the data in the set are integers.
What is a central tendency?A single number that seeks to characterize a set of data by pinpointing the center position within that set of data is referred to as a measure of central tendency.
As a result, measures of central location are occasionally used to refer to measures of central tendency. They also fit within the category of summary statistics. You are probably most familiar with the mean (sometimes known as the average), but there are additional central tendency measures, including the median and the mode.
Given, A data set 70, 67, 75, 60, 67, 65.
Arranging the data set in ascending order,
60, 65, 67, 67, 70, 75.
Now, The mean of the set is (60 + 65 + 67 + 67 + 70 + 75)/6.
= 67.33.
Mode of the data set 67.
So, The central tendency of the data set is 67 as the data in the set are all integers.
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A dishwasher at a restaurant washes 9 forks. These forks represent 4% of the forks owned by the restaurant. How many forks does the restaurant own?
Answer:
The restaurant owns 225 forks
Step-by-step explanation:
We can get our answer by displaying as an equality
9 to 4/100
x to 100/100
You can multiply 4 by 25 to get 100 so to get the amount of forks, multiply 9 by 25
9 * 25 = 225
Answer:
225 forks
Step-by-step explanation:
9 to 4/100
x to 100/100
Multiply 4 by 25 to get 100 so to get the number of forks, multiply 9 by 25!
9 * 25 = 225
Hope this helps.
Sally completely solves at least 7 calculus problems per hour and at most 10 calculus problems per hour. Based on this information, what is a possible number of calculus problems that Sally can completely solve in five hours?
Sally can solve minimum of 35 calculus problem and maximum of 50 calculus problem.
What does calculus mean in plain English?Calculus is a branch of mathematics that focuses on rates of change, to put it simply. For instance, you might want to determine how quickly a car will slow down as it approaches a stop sign. Calculus can assist you in calculating that change. Calculus introduces movement into math, that's correct!
Calculus is used by who?Calculus is useful in many different fields, including engineering, medicine, biological research, economics, architecture, space science, electronics, statistics, and pharmacology.
minimum = 35
maximum=50
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A four-part spinner is spun once.
List the sample space for the experiment.
S = {Q, R, R, T}
S = {Q, R, S, T}
S = {R, A, T}
S = {S, Q, Q}
The sample space for the experiment, S= {Q, R, S, T}.
What is Sample Space in an Experiment?A sample space is a set of potential results from a random experiment. The letter "S" is used to denote the sample space. Events are the subset of possible experiment results. Depending on the experiment, a sample area could contain a variety of results.
Given:
From the Spinner we can see four portions as
Q(Orange)
R(Green)
S(Blue)
T(Purple)
So, if the spinner spined then it will point Q, R, S or T which is the Sample space for the Spinner.
Hence, the Sample space is {Q, R, S, T}.
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Answer: B: S = {Q, R, S, T}
Step-by-step explanation:
This is the only answer listed with the letters on the spinner.
Parker could pay 45% of his college tuition with his scholarship. The remaining $10,500 he paid for a with a student loan. What was the cost of Parker's tuition? Show your work.
Answer:
5,775 for the cost of parking tuition
Step-by-step explanation:
45% = 0.45
0.45(10,500)= 4,725
10,500 - 4,725 = 5,775 for the cost of parking tuition
Range of 63, 42, 28, 45, 36, 48, 32, 40, 57, 49
What equation represents this sentence?
5 less than a number is 12.
5=n-12
n-5=12
5-n=12
5=12-n
ill give brainliest its due at 11:59 its 8pm
Answer:
I'm sure its 5=n-12 :))))
According to a "how to stop bullying" Web site, 15% of students report experiencing bullying one to three times within the most recent month. Let's assume the standard deviation is 4.5% of students. Joseph collects data from 186 students at a medium-sized school in Iowa and finds that only 11% reported this rate of bullying. What is his 95% confidence interval?
Select one:
A. [8.75, 13.25]
B. [10.353, 11.647]
C. [10.5, 19.5]
D. [6.5, 15.5]
c) A concern or risk of reporting significant mean differences between groups is that people may
If Joseph collects data from 186 students from a medium sized school in Iowa and finds that only 11% students has reported rate of bullying , then the 95% confidence interval is option (b) [tex](10.353, 11.647)[/tex] .
the students who report bullying in middle sized school is ⇒ [tex]15[/tex] percent ;
the standard deviation is given as ⇒ 4.5% = 0.045 .
the sample size is ⇒ 186 students ;
the sample proportion is ⇒ 11% = 0.11 .
we know that the for the 95 percent confidence interval the value of z score is 1.96 .
The formula to calculate the upper and lower limit of 95 percent confidence interval is :
= [tex]( Sample Proportion \pm \frac{Zscore \times Standard Deviation}{\sqrt{Population Size} })[/tex]
So , the lower limit of the interval will be calculated as :
= [tex]( 0.11 - \frac{1.96 \times 0.045}{\sqrt{186} })[/tex]
On simplifying ,
we get
= [tex]0.1035[/tex] = [tex]10.35\%[/tex] ;
So , the upper limit of the interval will be calculated as :
= [tex]( 0.11 + \frac{1.96 \times 0.045}{\sqrt{186} })[/tex]
On simplifying ,
we get ;
= [tex]0.1165[/tex] = [tex]11.65 \%[/tex]
Therefore , the required interval is [tex](10.353, 11.647)[/tex].
The given question is incomplete , the complete question is
According to a "how to stop bullying" Web site, 15% of students report experiencing bullying one to three times within the most recent month. Let's assume the standard deviation is 4.5% of students. Joseph collects data from 186 students at a medium-sized school in Iowa and finds that only 11% reported this rate of bullying. What is his 95% confidence interval ?
(a) (8.75, 13.25)
(b) (10.353, 11.647)
(c) (10.5, 19.5)
(d) (6.5, 15.5)
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Zachary plans to collect $0. 30 from each person that comes to the party to cover the cost of the candy.
How many people will need to come to the party to cover the entire cost of the candy
In order to pay for the sweets, Zachary intends to take $0.30 from each guest that attends the celebration. To pay for the total cost of the sweets, 4 guests are required to attend the party.
How much candy per person?We suggest 8 ounces of sweets per visitor when utilizing ounces. A 5 pound bag of candy will thus be enough to satisfy 10 people. The candy bar may have been distributed evenly in the following manner. Since there are four individuals, split each according to who will receive. About half a pound of sweets is given to each visitor. Therefore, you should buy 50 pounds of sweets at the very least if 100 people are expected.
Setting up the confectionery should minimize guest contact with it for hygienic reasons. Tongs and candy scoops in your theme-coordinating color should be provided for bulk candies. Since you don't want your guests to consume too much sugar, smaller serving utensils are preferred.
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When filling your gas tank, if you pay c dollars for g gallons of gas, you have the following table.
g c
4 15.80
8 31.60
11 43.45
15 57.25Choose all of the following statements that are true.
Select one or more:
a.
The range is {15.80, 31.60, 43.45, 57.25} .
b.
The set of independent values is {15.80, 31.60, 43.45, 57.25}.
c.
The range is {4, 8, 11, 15}.
d.
none of these
e.
The set of independent values is {4, 8, 11, 15}.
The two statements that are true about the table are:
A) "The range is {15.80, 31.60, 43.45, 57.25} ."
B) "The set of independent values is {4, 8, 11, 15}."
Which statements are true?Here we have the table for number of gallons and the costs of these:
g c
4 15.80
8 31.60
11 43.45
15 57.25
The statements that are true about that table are:
"The range is {15.80, 31.60, 43.45, 57.25} ."
This is true, the cost is the output of the table, thus, the range is that.
"The set of independent values is {4, 8, 11, 15}."
This is also called the domain, which is the input, in this case, the number of gallons of gas.
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HIJK is a square and KI = 6√2. Find HI
The length of HI will be;
⇒ 6 units.
What is Pythagoras theorem?The Pythagoras theorem states that in a right triangle, the square of the hypotenuse is equal to the sum of the square of the other two sides.
Given that;
HIJK is a square.
The length of KI = 6√2
Now,
Since, HIJK is a square.
Hence, There are all sides are equal.
Let the side of square = x
So, By Pythagoras theorem, we get;
⇒ KI² = HI² + HK²
Substitute the given values, we get;
⇒ (6√2)² = x² + x²
⇒ 72 = 2x²
⇒ x² = 36
⇒ x = √ 36
⇒ x = 6
Thus, The length of HI = 6 units
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What are 3 problem solving skills?
The major part of problem solving skill are explained below.
In order to find the ways, we must know the definition of problem solving.
The term problem solving is defined as the act of defining a problem; determining the cause of the problem identifying, prioritizing, and selecting alternatives for a solution and implementing a solution.
Therefore, the major skills included in the problem solving are defined as
=> identifying the problem,
=> analyzing possible solutions, and
=> deciding on the best course of action
Basically, this skill is important because it enables us to identify and exploit opportunities in the environment and exert control over the future.
Other that that problem solving skills and the problem-solving process are a critical part of daily life both as individuals and organizations.
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Can someone help me please?
Answer:
(-3, -2)
Step-by-step explanation:
Notice how the lines intersect? that exact point is the solution.
Work out
m
and
c
for the line:
2
y
−
4
x
=
2
Answer:
General equation : y = mx + c
2y - 4x = 2
2y = 4x + 2
y = 2x + 1
Therefore m = 2 and c = 1.
Please help me! I don't understand
Answer: 12
Step-by-step explanation:
The smaller triangles on the right can be proven congruent, so the other side also equals 6. 6+6=12
•35 POINTS• don’t explain.
SSS
SAS
ASA
SAA
HL
Reason:
The tickmarks tell us that the pair of hypotenuses are congruent.
The shared horizontal sides at the bottom are the pair of congruent legs of the right triangles. Therefore, we can use the hypotenuse leg (HL) theorem. This theorem only works for right triangles.