Answer:
Since the leading coefficient is negative and the exponent is to a degree of 4...
The graph will be down on both ends.
Prove that if a, b, and c are real numbers such that A^2 + B^2 + C^2 = 0, then A = B = C = 0
The proof that if if a, b, and c are real numbers such that A^2 + B^2 + C^2 = 0, then A = B = C = 0 is made by contradiction in this problem.
What is a proof by contradiction?Proof by contradiction is different of traditional proof because it accepts a single example showing that a statement is false, instead of having the need to derive a general relationship for all input values.
For this problem, we must assume the case in which at least one of the terms is non-zero, hence we assume that A is non-zero, hence the expression would be given as follows:
A² + B² + C² = 0
A² = -(B² + C²)
This means that the square of A would be negative. However, the square of a number is always a non-negative number, hence this equation above is a contradiction.
This contradiction was used to prove that if a, b, and c are real numbers such that A^2 + B^2 + C^2 = 0, then A = B = C = 0.
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A woman leaves home at 7 am and drives to New York City 200 miles away. If she averages 50 miles per hour, what time will she arrive at the city
Find time needed to drive 200 miles:
50 miles = 1 hour
1 mile = 1/50 hour
200 miles = 1/50 x 200 = 4 hours
Find time of arrival:
7:00am + 4 hours = 11am
Answer: She will arrive at 11am
Answer:
The woman will arrive at New York City at 11 am.
Step-by-step explanation:
At an average speed of 50 miles per hour, it will take the woman 4 hours to reach New York City. If she leaves at 7 am, she will arrive at 11 am. Here's the math:
200 miles / 50 miles per hour = <<200/50=4>>4 hours
7 am + 4 hours = 11 am
So the woman will arrive at New York City at 11 am.
In the algebraic expression, 6x + 10, x is the (blank), 6 is the (blank), and 10 is the (blank)?
In the algebraic expression, 6x + 10, x is the variable, 6 is the coefficient and 10 is the constant.
What are algebraic expressions?
Algebraic expressions are mathematical phrases that can contain numbers, variables, and mathematical operations such as addition, subtraction, multiplication, and division. They can be used to represent mathematical operations and relationships between numbers.
Examples of algebraic expressions include:
2x + 3 (This is an expression that represents the sum of 2 times the value of x plus 3)
A letter or symbol that denotes an unknowable value is called a variable. The variable here is represented by x.
A coefficient is a number that is multiplied by a variable in an algebraic expression. In this case, 6 is the coefficient of x.
A constant is a value that does not change in an algebraic expression. In this case, 10 is the constant.
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The table, the equation, and the graph show the rates at which three different students read in words per
minute. Which student reads faster?
The student that has the highest reading rate is Student C who has the highest rate of change of the number of words read of 158 words per minute.
What is the rate of change of a function?The rate of change of a function is the rate at which the output value changes per unit change in the input value.
The possible data and table obtained from a similar question on the website are presented as follows;
Student A
Number of minutes; [tex]{}[/tex]1 2 3 4
Number of words read; 150 [tex]{}[/tex]300 450 600
Student B
y = 158·x
Where;
x = The time duration in minutes
y = The number of words read by the student
Student C
The points on the graph representing the reading rate of student C are; (2, 280), (3, 420), (5, 700)
The first difference of the number of words read by Student 1 is constant, indicating that the relationship is a linear relationship, with the reading rate obtained by the rate of change of the number of words read as follows;
Reading rate for Student A = (300 - 150)/(2 - 1) = 150
The reading rate for Student A is 150 words per minute
The equation for the reading rate of Student B; y = 158·x, indicates that Student B reads 158 words per minute
The of the straight ling graph for the reading rate of Student C is found as follows;
Slope = (420 - 280)/(3 - 2) = 140
The slope indicates that the number of words read by Student C increases by 140 words every minute, therefore, the reading rate for Student C is 140 words per minute
The student that reads fastest is therefore, Student C who has a reading reading rate of 158 words per minute
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Can anyone help me with this plz
Answer:
B.
Step-by-step explanation:
So we know right off the bat the angles ABE and CBD are congruent because of vertical angles.
Now we can look at the sides.
The ratio for 27:18 = 3:2
The ratio for 36:24 = 3:2
They check out.
That means that the answer is B. SAS
A construction company is building a fence that is 1 1/3 miles long. They can building the fence 1/6 Mile every hr. How long to build the fence?
The time to build the fence will be 10 hours.
How to calculate the time?The fraction simply means a piece of a whole. In this situation, the number is represented as a quotient such that the numerator and denominator are split. In this situation, in a simple fraction, the numerator as well as the denominator are both integers.
Since construction company is building a fence that is 1 1/3 miles long and they can building the fence 1/6 Mile every hr.
The time to build the fence will be:
= 1 1/3 ÷ 1/6
= 5/3 × 6/1
= 30 / 3
= 10 hours.
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i will give Brainiest if you are right
Answer:
G
Step-by-step explanation:
only 3 more brailiest and I will become an expert : )
Answer:
The option 'J' is the correct order from least to greatest
SOMEONE HELP! I don’t understand
Answer:
Step-by-step explanation:
That is not possible.
find the area if each shaded sector.
plz help im confusedddddddd
Given m || n , find the value of x.
Answer:
54°
Step-by-step explanation:
Angles corresponding in parallel lines are the same
Write an expression to represent: 2 times the difference of x and 3
Answer:
2(x-3)
Step-by-step explanation: 2 is being multiplied by the difference (subtraction) of x-3.
(30 points easy) write the equation of side B seat inside AC to determine if the three points could form a right triangle
write the equation of the line for side B C, and side AC, If the points were connected, could this be a right triangle explain why
(use the graph in the photo)
Answer:
Side BC: y = -2x + 10
Side AC: y = 2x + 4
Yes, these three points could form a right triangle. This is because the slopes of the two lines, Side BC and Side AC, are opposite reciprocals of each other. This means that when the two lines intersect, they will form a right angle.
Alice reads a scatterplot that shows data for nine schools. It relates the percentage of students receiving free lunches to the percentage of students wearing a bicycle helmet. The plot shows a strong negative correlation. Alice recalls that correlation does not imply causation. In this example, Alice sees that increasing the percentage of free lunches would not cause children to use their bicycle helmets less.
Identify the confounding variable that is causing Alice's observed association.
a. The number of bike helmets available
b. Parents' income
c. School funding
d. The number of free lunches available
Answer:
Parents' income
Step-by-step explanation:
The confounding variable also called the third or lurking variable is usually an unaccounted for variable or factor which may creep into our research, Hence, causing an association or relationship which does not actually exists between the two correlated variables. In the experiment abive, there is no really any actual relationship between increasing percentage of free lunch and less usage of bicycle helmets.
However, We may attribute the change in bicycle helmets used by the children to a swerve or change in the income of the parents of the students, being able to afford a bicycle helmet will depend in the income of the parent and this mightvhave caused the observed association between the variables.
Answer:
parents income
Step-by-step explanation:
If the equation of a circle is (x + 5)2+(y-7)2=36, its radius is
06
016
0 36
Therefore , the solution is circle Part 1: The central idea ( -5 , 7 ). 2nd part: Radius is 6 in part 2,3rd part: FALSE and Parts 4. There are 10 miles between A and B.
What is circle?A circular shape called a circle is created by following a moving point in a plane so that its distance from a particular point remains constant. The Greek word kirkos, which means hoop or ring, distance is the source of the English word circle.
Here,
The common circle equation is,
( x - h )² + ( y - k ) ( y - k )
6² = r²
where the circle's radius is r and the center's coordinates are (h, k).
Part 1.
Using the common circle equation, we obtain,
Circle's circumference's coordinate is ( -5 , 7 )
Consequently, the second choice is the right one.
Part 2.
Using the common circle equation, we obtain,
circle radius is six.
Consequently, the first choice is the right one.
Part 3.
Using the common circle equation, we obtain,
Circle's circumference's coordinate is ( 2 , 3 )
Therefore False.
Part 1.
In comparison to the common circle equation, we obtain,
Circle's center's coordinates are: ( -5 , 7 )
As a result, the second choice is the right one.
Part 2.
In comparison to the common circle equation, we obtain,
circle's diameter is six.
As a result, the first choice is right.
Part 3.
In comparison to the common circle equation, we obtain,
Circle's center's coordinates are: ( 2 , 3 )
So, False.
Part 1.
Giving the distance between two points,
Distance between A(-5, 3) and B (5, 3), expressed as:
=> [tex]\sqrt{(x2-x1)^{2} + (y2-y1)^{2} )}[/tex]
= > [tex]\sqrt{(-5-5)^{2} + (3-3)^{2} )}[/tex]
=> 10
Thus, 3rd Option is correct.
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Population Growth
What is the growth rate of the function y = 3 · 2×?
a. 3 c. 1
b. 2 d. 6
Please select the best answer from the choices provided
Answer:
C. 1
Step-by-step explanation:
I calculated it logically
Step-by-step explanation:
The correct choice is C
C.1
BRAINILIEST PLEASECarlos has chosen 12 different CDs he would like to buy: 4 are rap music, 5 are country, and 3 are heavy metal. He has only enough money to buy 5 of them (each CD costs the same price). So he selects 5 of them at random. What is the probability that his purchase includes at least one CD from each of the three genres.
Answer:
The probability is 0.7449
Step-by-step explanation:
Given
[tex]n = 12[/tex] ---- total
[tex]r = 5[/tex] --- selection
[tex]Genre =\{Rap(4), Country (5), Heavy\ metal (3)\}[/tex]
Required
Probability of buying at least 1 of each genre
First, we calculate the total possible selection.
To select 5 CDs from a total of 12, we use:
[tex]^nC_r = \frac{n!}{(n - r)!r!}[/tex]
[tex]^{12}C_5 = \frac{12!}{(12 - 5)!5!}[/tex]
[tex]^{12}C_5 = \frac{12!}{7!5!}[/tex]
Expand
[tex]^{12}C_5 = \frac{12*11*10*9*8*7!}{7!*5*4*3*2*1}[/tex]
[tex]^{12}C_5 = \frac{12*11*10*9*8}{5*4*3*2*1}[/tex]
[tex]^{12}C_5 = \frac{95040}{120}[/tex]
[tex]^{12}C_5 = 792[/tex]
So, the total selection is:
[tex]Total = 792[/tex]
To select at least 1 from each genre, there are 6 possible scenarios.
And they are:
[tex]\begin{array}{ccc}{Heavy\ Metal (3)} & {Rap (4)} & {Country(5)} & {3} & {1} & {1} & 2 & {1} & {2} & {2} & {2} & {1}& {1} & {2} & {2}& {1} & {3} & {1}& {1} & {1} & {3} \ \end{array}[/tex]
The possible selections for the given scenario is:
[tex]Possible = ^3C_3* ^4C_1 * ^5C_1 +^3C_2* ^4C_1 * ^5C_2 +^3C_2* ^4C_2 * ^5C_1 +^3C_1* ^4C_2 * ^5C_2 +^3C_1* ^4C_3 * ^5C_1 +^3C_1* ^4C_1 * ^5C_3[/tex]
Using a calculator, we have:
[tex]Possible = 1*4*5 +3*4*10 +3*6*5 +3*6*10+3*4*5+3*4*10[/tex]
[tex]Possible= 20 +120 +90 +180+60+120[/tex]
[tex]Possible = 590[/tex]
The probability is then calculated using:
[tex]Pr = \frac{Possible}{Total}[/tex]
[tex]Pr = \frac{590}{792}[/tex]
[tex]Pr = 0.7449[/tex]
The lifetime of a certain brand of battery is known to have a standard deviation of 9 hours. Suppose that a random sample of 150 such batteries has a mean lifetime of 40.5 hours. Based on this sample, find a 90% confidence interval for the true mean lifetime of all batteries of this brand. Then give its lower limit and upper limit. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.)
Answer:
The 90% confidence interval for the true mean lifetime of all batteries of this brand is between 39.3 hours and 41.7 hours. The lower limit is 39.3 hours while the upper limit is 41.7 hours.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.9}{2} = 0.05[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.05 = 0.95[/tex], so Z = 1.645.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
[tex]M = 1.645\frac{9}{\sqrt{150}} = 1.2[/tex]
The lower end of the interval is the sample mean subtracted by M. So it is 40.5 - 1.2 = 39.3 hours
The upper end of the interval is the sample mean added to M. So it is 40.5 + 1.2 = 41.7 hours
The 90% confidence interval for the true mean lifetime of all batteries of this brand is between 39.3 hours and 41.7 hours. The lower limit is 39.3 hours while the upper limit is 41.7 hours.
There are 3 answers FYI.
Answer:
cool i think there are 4 questons
Step-by-step explanation:
no links please
Evaluate 10v for v = -8.
A.
2
B.
-90
C.
80
D.
-80
Which expression represents the product of x3 + 2x - 1 and x4 - x3 +3?
Answer:
x^4 + 2x + 2
Step-by-step explanation:
Which property is demonstrated below?
a times c = c times a
A.
associative property
B.
distributive property
C.
commutative property
D. identity property
Answer:
distributive property is your answer
convert 84 min into fraction
Answer:
84/60
Step-by-step explanation:
1 hour is 60 minutes so 84 minutes /60 gives how much it is in hours
if the nth term of a sequence is 2n+2n squared, find the first 3 terms and the 10th term please help
Answer:
3rd term: 24
10th term: 220
Step-by-step explanation:
For the 3rd term
2*3 + 2*(3^2) = 6 + 2*9 = 6 + 18 = 24
For the 10th term
2*10 + 2*(10^2) = 20 + 2*100 = 20 + 200 = 220
Select the correct answer. Which statement is true about this equation? 3(-y + 7) = 3(y + 5) + 6 A. The equation has one solution, y = 0. B. The equation has one solution, y = -1. C. The equation has no solution. D. The equation has infinitely many solutions.
the is answer is probably c
the answer makes sense
Find three consecutive integers such that 4 times the first decreased by the second is 12 more than twice the third
The three consecutive number are 17 , 18 and 19 respectively
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Let the first number be = x
Let the second number be = ( x + 1 )
Let the third number be = ( x + 2 )
Now ,
A = 4 times the first decreased by the second is 12 more than twice the third
Substituting the values in the equation , we get
4x - ( x + 1 ) = 12 + 2 ( x + 2 )
On simplifying the equation , we get
4x - x - 1 = 12 + 2x + 4
3x - 1 = 16 + 2x
Subtracting 2x on both sides of the equation , we get
x - 1 = 16
Adding 1 on both sides of the equation , we get
x = 17
Therefore , the value of x is 17
Hence , the consecutive numbers are 17 , 18 and 19
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A parking lot contains only cars and motor bikes. If there are 18 vehicles and 50 tires in the parking lot, how many cars and bikes are there?
Answer:
7 cars
11 bikes
Step-by-step explanation:
18 cars would have 72 tires. This is 22 more tires than necessary. If we add a bike, we lose four tires (from the car) and add two (from the bike). This means we lose two tires. 22/2 is 11 so it would be 11 bikes and 7 cars.
11 bikes = 22 tires
7 cars = 28 tires
22+28=50 tires
I-Ready The map shows an obstacle course at a school fair.
Rewrite in simplest terms: 9(-6p-4)+3(3p-5)9(−6p−4)+3(3p−5)
The expression in the simplest form is -90p - 102
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; which can also be used to indicate the logical syntax's order of operations and other features.
We are given an expression as 9(-6p-4)+3(3p-5) + 9(−6p−4)+3(3p−5)
Then Rewrite in simplest terms:
9(-6p-4)+3(3p-5) + 9(−6p−4)+3(3p−5)
2 [ 9(-6p-4)+3(3p-5) ]
Solve the like terms;
2 [-54p - 36 + 9p - 15]
2 [-54p + 9p - 15 - 36]
2 x ( -45p - 51)
-90p - 102
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What is the probability of rolling a 5 on a fair number cube 5 times in a row?
Answer:
Impossible
Step-by-step explanation:
Answer:
1/7778
Step-by-step explanation:
We multiply each event
1/6 x 1/6 x 1/6 x 1/6 x 1/6 =
1/36 x 1/36 x 1/6
= 1/7776
The Honda Accord was named the best midsized car for resale value for by the Kelley Blue Book (Kelley Blue Book website). The file AutoResale contains mileage, age, and selling price for a sample of Honda Accords. Click on the datafile logo to reference the data.
a. Develop an estimated regression equation that predicts the selling price of a used Honda Accord given the mileage and age of the car (to decimals). Enter negative value as negative number. 20385.25049
b. Is multicollinearity an issue for this model
Answer:
a) estimated regression equation = ( 2.039e + 04 - 3.79e - 02 millage , - 6.863e + 02 age )
b) multicollinearity is an issue for this model
Step-by-step explanation:
a) An estimated regression equation
estimated regression equation = price ~ mileage + age = ( 2.039e + 04 - 3.79e - 02 millage , - 6.863e + 02 age )
Residuals :
Min 1∅ median 3∅ max
- 1053.73 - 542.06 - 19.61 433.55 1560.81
coefficients :
estimate std errors at t values ( intercept ) 2.039e + 04 2.982e+02 68.366<2e-16b) multicollinearity is an issue for this model because the correlation between millage and Fs 0.6681727 is of high degree
attached below is the remaining part of the solution