Answer:
Step-by-step explanation:
The graph tells you it is -590, but you should check it out.
midpoint = (b + c)/2
b = - 600
c = - 580
midpoint = (- 600 + -580)/2
midpoint = - (1180)/2
midpoint = - 590
A package of 8-count AA batteries cost $6.16. A package of 20-count AA batteries cost $15.60. Which statement about the unit prices is true?
Answer:
The unit prices will be within the range of $0.77 ≤x≤$0.78
Step-by-step explanation:
If a package 8-count AA batteries cost $6.16 and a package of same 20-count AA batteries cost $15.60, to calculate the unit price, the following steps must be carried out:
8 counts AA batteries = $6.16
A unit price (i.e 1 count) = x
Cross multiplying
8 × x = 6.16 × 1
x = 6.16/8
x = $0.77 for a unit price
Similarly, if 20-count AA batteries cost $15.60, then:
20 counta = $15.60
1 count = x
Cross multiplying
20 × x = $15.60 × 1
x = $15.60/20
x = $0.78 for a unit price
From above calculation, of can be seen that the unit price is almost similar but with a difference of $0.01 ($0.78-$0.77) which is insignificant. Based on this, we can conclude that a unit price of the battery is between the range
$0.77 ≤x≤$0.78
Answer:
The 8-count pack of AA batteries has a lower unit price of 0.77
per battery.
Step-by-step explanation:
What's the difference?
Answer:
first one is the right one
Step-by-step explanation:
HELP PLEASEEEEEEEEEE
Answer:
x = -1/4(y +3)2 - 2.
Step-by-step explanation:
Here are the steps:
Find if parabola is horizontal or vertical
Find vertex and substitute into equation of step 1
Use another point to find a in the equation.
--------------------------------------------------------------------------------
Parabola is obviously vertical.
that means we use x = a(y - k)2 + h
Our vertex is (-2,-3), and it's also (h, k)
so, our current equation is x = a(y - -3)2 - 2 and if we simplify it,
we get x = a(y +3)2 - 2.
It's not over yet, cuz we still need a.
so, we substitute in a point (x, y). We can use (-4, 1).
We plug in and get -4 = a(1 +3)2 - 2.
We solve like a one variable linear equation and get a = -1/4
Thus our equation is x = -1/4(y +3)2 - 2.
which two points have an undefined slope
Answer:
C
Step-by-step explanation:
The set of points with the same x has an undefined slope
Answer:
C. (-3, -3) and (-3, 3)
Step-by-step explanation:
(-1, 1) and (1, -1)
Slope = (-1-1) / (1 - (-1))
= -2 / 2 = -1.
(-1,2) and (2,2)
Slope = ( 2-2)/ ( 2 - -2)
= 0
(-3, -3) and (-3, 3)
Slope = (3 - -3) / (-3 - (-3)
= 6 / (-3+3)
= 6/0 - UNDEFINED.
The line joining these points is vertical.
The correlation coefficient between two quantitative variables is approximately 0.02. What does the value of this correlation coefficient indicate about how well the model fits the data?
Answer:
The correlation coefficient "tell us" that the model in question does not fit the data well (the correlation coefficient is near zero), in whose case we need to find another that can do it.
Step-by-step explanation:
Roughly speaking, the correlation coefficient "tell us" if two variables could present the following behavior:
As one variable increases, the other variable increases too. In this case, the correlation coefficient is high and positively correlated. As the correlation coefficient is near 1, the correlation between two quantitative variables is almost perfect.As one variable decreases, the other variable decreases too. In this case, the correlation coefficient is also high, but negatively correlated. As the correlation coefficient is near -1, this correlation is almost perfect for this case.There could be no correlation at all. In this case, the correlation coefficient is near a zero value.As we can follow from the question, a correlation coefficient of 0.02 is near to zero. In this case, the correlation coefficient is "telling us" that the two variables do not follow the cases 1 and 2 above described. Instead, it follows the case 3.
Therefore, the model in question does not fit the data well, in whose case we need to find another that can do it. For example, if the model is linear, we need to test an exponential model.
It is important to remember that the correlation coefficient does not tell us anything about that one variable causes the other variable, only behaviors as described above.
Here are the ingredients needed to make 8 pancakes. 250 ml milk 1 egg 140g flour 5g butter Craig makes 20 pancakes. Work out how much flour he needs.
Answer: 56g flour
Step-by-step explanation: 140/20 = 7g
7 x 8 = 56g
n is an interger -15<3n《6
write the values of n
Answer:
So for the first few small values of n, we have proven by demonstration that f(n) = n / (n+1).
Our task is to prove that if it works for any positive integer value of n, then it works for n + 1. This way, it must by induction work for all subsequent values of n.
Formally said, we need to prove that if for some positive integer n we can show that f(n) = n / (n+1), then we can conclude that f(n+1) = (n + 1) / (n + 2).
We begin the real "proof" by expanding f(n + 1):
f(n + 1) = f(n) + 1 / ((n+1)((n+1)+1)) because that's based on the construction.
= n / (n+1) + 1 / ((n+1)(n+2)) because f(n) = n / (n+1); this is called "using what you know from earlier".
= n(n+2) / ((n+1)(n+2)) + 1 / ((n+1)(n+2)) because we can multiply the left fraction by (n+2)/(n+2).
= (n2 + 2n + 1) / ((n+1)(n+2)) because we have a common denominator and can combine the numerators.
= (n+1)2 / ( (n+1)(n+2)) because we can factor the numerator now; it is a perfect square.
= (n+1) / (n+2) because we can cancel the common (n+1) factor from the numerator and denominator.
Q.E.D. (which means "that which was to be proven", in other words: "voilà")
Step-by-step explanation:
factorising can someone plz helpw itht the last one than you
Answer:
3x^2(3+x)
Step-by-step explanation:
Answer: 3x^2(3+1)
Because it is divisible by 3 and x^2
Find the distance between a point (–7, –19) and a horizontal line at y = 3. Choices are in the attachment...
Explanation:
The distance we're after is the vertical distance from the point to the line. So we only care about the difference in y values from y = -19 to y = 3
You can count out the spaces or use subtraction along with absolute value
distance from P to Q = |P-Q|
distance from -19 to 3 = |-19-3|
distance from -19 to 3 = |-22|
distance from -19 to 3 = 22
The absolute value is to ensure the result is never negative.
please read the question and help me out
Fred can mow a lawn in 60 minutes. rocky can mow the same lawn in 40 minutes. how long does it take for both fred and rocky to mow the lawn if they are working together? express your answer as a reduced fraction.
Answer:
24 minutes
Step-by-step explanation:
Fred can mow a lawn in 60 minutes.
Fred's Rate [tex]=\frac{1}{60}[/tex]
Rocky can mow the same lawn in 40 minutes.
Rocky's rate [tex]=\frac{1}{40}[/tex]
Let the time it will take both of them = x minutes
Therefore:
[tex]\frac{1}{60}+\frac{1}{40}=\frac{1}{x}\\$Multiply all through by 1200$\\1200\times \frac{1}{60}+1200\times\frac{1}{40}=1200\times\frac{1}{x}\\20+30=\frac{1200}{x}\\50=\frac{1200}{x}\\$Cross multiply\\50x=1200\\Divide both sides by 50\\x=24\\[/tex]
It would take the two of them 24 minutes to mow the lawn.
Which best describes the range of a function?
The range of a function may refer to either of two closely related concepts: The codomain of the function The image of the function
MARK BRAINLIEST PLEASE DEAR...THANKS I LOVE U
Help!!!!! please!!!!!
Answer:
108cm[tex]^{3}[/tex] (B)
Step-by-step explanation:
Find the area of the triangle first.
6 * 4 = 24/2 = 12
Multiply by the width.
12 * 9 = 108
Hey there! :)
Answer:
B. V = 108 cm³.
Step-by-step explanation:
Find the volume of the triangular prism using the formula:
V = 1/2(bh) where b = l × w
Solve for the base:
b = 4 × 9
b = 36 cm²
Plug this into the formula for the volume:
V = 1/2(36 · 6)
V = 1/2(216)
V = 108 cm³. The correct answer is B.
A polynomial of the 5th degree with a leading coefficient of 7 and a constant term of 6 choose 1 answer: . 7x^5+2x^2+6 .6x^7-x^4+5 .6x^5+x^4+7 .7x^6-6x^4+5
Answer:
7x^5+2x^2+6
Step-by-step explanation:
7x^5+2x^2+6
6x^7-x^4+5
6x^5+x^4+7
7x^6-6x^4+5
5th degree polynomial means the the term with highest degree has degree 5.
7x^5+2x^2+6
6x^7-x^4+5
6x^5+x^4+7
7x^6-6x^4+5
Leading coefficient is the coefficient of the term with highest degree.
Constant is the number with no variable.
7x^5+2x^2+6
Translate into an algebraic expression:40 increased by x%
Answer:
2/5x
Step-by-step explanation:
x% of 40= x/100×40
= 40/100x = 2/5x
Using this distribution, find the probability
that a teenager has 4 or more pairs of shoes
in their closet.
Answer:
P = 0.3
Step-by-step explanation:
Here, we are to use the probability distribution in the table to calculate the probability that a children has 4 or more shoes in his or her closet
When we say 4 or more, what we mean by this is that the teenager has 4 shoes or 5 shoes
In probability expressions, when we use the term ‘or’ we are simply talking about adding the terms involved
So what we can do here is to add the probability that the teenager has 4 shoes to the probability that the teenager has five shoes
From the table that would be; 0.1 + 0.2 = 0.3
What single transformation maps ∆ABC onto ∆A'B'C'? A. rotation 90° clockwise about the origin B. rotation 90° counterclockwise about the origin C. reflection across the x-axis D. reflection across the line y = x
Answer:
B. rotation 90° counterclockwise about the origin.
Step-by-step explanation:
Transformation is the process by which the size or orientation of a given figure is altered without any effect on its shape. Examples are; rotation, reflection, translation and dilation.
Rotation is the process of turning a figure about a reference point called the origin. While reflection is turning a figure about a line to produce its image.
In the given question, ∆ABC is mapped onto ∆A'B'C' by rotating it at 90° counterclockwise about the origin.
The correct option is (B). rotation 90°counterclockwise about the origin.
Given, ∆ABC and ∆A'B'C' are shown in attached figure.
We have to map ∆ABC onto ∆A'B'C',.
A transformation is a general term for four specific ways to manipulate the shape and or position of a point, a line, or geometric figure.
Transformation is also the process by which the size or orientation of a given figure is altered without any effect on its shape.
A rotation is a transformation in which the object is rotated about a fixed point.The direction of rotation can be clockwise or anticlockwise.
It is clear from the fig that the ∆ABC can be mapped over ∆A'B'C' by the rotation of 90°counterclockwise about the origin.
Hence the correct option is (B). rotation 90°counterclockwise about the origin.
For more details follow the link:
https://brainly.com/question/1571997
Question 26: write the equation that describes the line with slope=5 and y-intercept =8 in slope intercept form.example: y=mx+b
Answer:
y = 5x + 8
Step-by-step explanation:
Start with y = mx + b: general slope-intercept form, equation of a line:
Replace m with 5, y with 8 and x with 0 (since the y-intercept is (0, 8):
8 = 5(0) + b. Then b must be 8, and the desired equation is
y = 5x + 8
it's 11 that grade, please help me I'm stuck
Answer:
Limit [tex]$\lim_{x \to 0} f(x)$[/tex] does not exist.
Step-by-step explanation:
To calculate left hand limit, we use a value slightly lesser than that of 0.
To calculate right hand limit, we use a value slightly greater than that of 0.
Let h be a very small value.
Left hand limit will be calculate at 0-h
Right hand limit will be calculate at 0+h
First of all, let us have a look at the value of f(0-h) and f(0+h)
[tex]f(0-h)=f(-h) = \dfrac{-h}{|-h|}\\\Rightarrow \dfrac{-h}{h} = -1[/tex]
[tex]f(0-h)=-1 ....... (1)[/tex]
[tex]f(0+h)=f(h) = \dfrac{h}{|h|}\\\Rightarrow \dfrac{h}{h} = 1[/tex]
[tex]f(0+h)=1 ....... (2)[/tex]
Now, left hand limit:
[tex]$\lim_{x \to 0^{-} } f(x)$\\[/tex] = [tex]$\lim_{h \to 0} f(0-h)$[/tex]
[tex]\Rightarrow[/tex] [tex]$\lim_{h \to 0} f(-h)$[/tex]
Using equation (1):
[tex]$\lim_{x \to 0^{-} } f(x)$\\[/tex] = -1
Now, Right hand limit:
[tex]$\lim_{x \to 0^{+} } f(x)$\\[/tex] = [tex]$\lim_{h \to 0} f(0+h)$[/tex]
[tex]\Rightarrow[/tex] [tex]$\lim_{h \to 0} f(h)$[/tex]
Using equation (2):
[tex]$\lim_{x \to 0^{-} } f(x)$\\[/tex] = 1
Since Left Hand Limit [tex]\neq[/tex] Right Hand Limit
So, the answer is:
Limit [tex]$\lim_{x \to 0} f(x)$[/tex] does not exist.
Jerry wants to buy his grandpa’s old car for $500.00. He works 10 hours a week at $7.50 an hour. How many weeks will he need to work before he earns enough money to buy the car?
Answer:
she needs to save up for 3 months
Step-by-step explanation:
Create a birthday Polynomial with 07.01.2006
Answer:
Step-by-step explanation:
the birthday date is : 07/01/2006 so the numbers are : 07012006 let's switch them : 60021070 we have 8 numbers so our highest degree is 7 6*(x∧7)+0*(x∧6)+0*(x∧5)+2*(x∧4)+1*(x³)+0*(x²)+7*x+0*(x∧0) 6*(x∧7)+2*(x∧4)+x³+7xHere is another example :
Factor the expression completely.
4n2 + 28n +49
. (2n + 7) (2n +7)
(2n + 7) (2n - 7)
(2n – 7)
4n (n + 7) + 49
NEXT QUESTION
ASK FOR HELP
Answer:
(2n + 7) (2n +7)
Step-by-step explanation:
To solve this problem we need to factorize 4n^2 + 28n +49 as shown below
[tex]4n^2 + 28n +49\\=>4n^2 + 14n + 14n +49\\=>2n(2n + 7) + 7(2n +7)\\=> (2n + 7) (2n +7)[/tex]
thus, after factorization we see that first option is correct one
(2n + 7) (2n +7)
we can validate this by expanding it
2n (2n +7) + 7 (2n+7)\
=> 4n^2 + 14n + 14n + 49 = 4n^2 + 28n +49 (which is equal to the problem stated expression)
What is the line of best fit? Why do we want the sum of the residuals to be as close to zero as possible?
Answer:
Step-by-step explanation:
What sis line of best fit?
The line of best fit may be explained as a straight line which is drawn to pass through a set of plotted data point which gives the best and most approximate relationship between the data points. A line of best fit is required to give the best approximate value between the set of plotted data points such that it allows making inference on new data points while also ensuring the least possible deviation from the original data points.
Why do we want the sum of the residuals to be as close to zero as possible?
The line of best fit will be the line which gives the least value of residual error. The residual error is reffered to as the difference between the line drawn and the individual data point plotted. These errors are squared and summed together, the line which produces the least residual error is Considered as the leading ne of best fit for the data.
We want the sum of our residual error to be as close to zero as possible, this is to reduce the deviation between our original or plotted data and the modeled data produced by our line of best fit.
Answer:
Step-by-step explanation:
We wan the residuals to be closest to zero because they will help use later in the equation.
What is the probability of drawing two yellow marbles if the first one is NOT placed back into the bag before the second draw? Their is 10 marbles total, 2 yellow, 3 pink, and 5 blue. PLZ I NED DA HELP
Answer:
pretty sure it would be 4/45. hope this helps!
Which of the following ordered pairs is a solution of the given system of
linear equations?
(4x + 8y = 8
x + 3y = 13
Answer:
x=-14 and y = 9
Step-by-step explanation:
hello
4x + 8y = 8 <=> divide by 4 both parts
(1) x + 2y = 4
(2) x + 3y = 13
(2) - (1) gives
x + 3y -x - 2y = 13 - 4 = 9
<=> y = 9
we replace in (1) x + 2*9 = 4
<=> x = 4 - 18 = -14
so x = -14
hope this helps
Un comerciante de algodón de azúcar gana 40 cm por cada algodón vendido pero si no lo logra venderlo pierde 50 céntimos. un día en que fabricó 120 algodones obtuvo una ganancia de 39 soles ¿Cuántos algodones no logró vender ese día?
Answer:
He fails to sell that day 10 cottons.
Step-by-step explanation:
We are given that a cotton candy merchant earns 40 cents for each cotton sold, but if he cannot sell it he loses 50 cents.
One day when he made 120 cottons, he made a profit of 39 soles.
Let the number of cottons merchant is able to sold be 'x' and the number of cottons merchant is not able to sold be 'y'.
So, according to the question;
The first condition states that he made 120 cottons on one day, that is;x + y = 120
x = 120 - y ---------------------- [Equation 1]
The second condition states that merchant earns 40 cents for each cotton sold, but if he cannot sell it he loses 50 cents and due to which he made a profit of 30 soles, that is;[tex]0.40x - 0.50y=39[/tex]
[tex]40x - 50y=3900[/tex]
[tex]40(120-y) - 50y=3900[/tex]
[tex]4800-40y - 50y=3900[/tex]
[tex]90y=4800-3900[/tex]
[tex]90 y = 900[/tex]
[tex]y=\frac{900}{90}=10[/tex]
This means that the merchant is not able to sell 10 cottons.
Work out the area of this circle.
Take it to be 3.142 and give your answer to 1 decimal place.
4 cm
→Answer:
[tex]50.3cm^2[/tex]
→Step-by-step explanation:
Well the formula for the area of a circle is [tex]\pi r^2[/tex].
→Given information
Pi is 3.142
radius is 4 cm
answer must be rounded to the nearest tenth
____________________________________________________________
So now we have to plug in the given information into the following formula [tex]\pi r^2[/tex].
(3.142)(4)^2
So now we have to solve this formula using PEMDAS.
So 4 squared is 16 and 16*3.142 is 50.272cm^2.
The question clearly states the given answer must be rounded into the nearest tenth so 50.272 is 50.3 cm^2.
__________________I do hope this helps!__________________________
52:PLEASE HELP Find the slope of the line that passes through the points (8,2) and (9,7)
Answer:
5/1
Step-by-step explanation:it goes up 5 and over 1
Answer:
5Solution,
Let the points be A and B
A ( 8 , 2 ) -----> (X1 , y1 )
B ( 9 , 7 ) -------> (x2 , y2)
Now,
Slope =[tex] \frac{y2 - y1}{x2 - x1} [/tex]
[tex] = \frac{7 - 2}{9 - 8} [/tex]
[tex] = \frac{ 5}{1} [/tex]
[tex] = 5[/tex]
Hope this helps..
Good luck on your assignment...
294 blue balls,252 pink balls,and 210 yellow balls are distributed equally among some student with non left over .what is the biggest possible number of student
Answer:
42
Step-by-step explanation:
You have to find the greatest number that divide 294, 252 and 210, i.e., the greatest common factor.
Then, you need to factor each number and calculate the product of the common factors raised to the lowest exponent.
294 = 2*3*7^2
252 = 2^2 * 3^2 * 7
210 = 2*3*5*7
Greatest common factor = 2*3*7 = 42
The biggest possible number of students to distribute the balls equally is 42
Expand (x+3)(2x-4)(x-6)
Answer:
The answer is
2x³ - 10x² - 24x + 72Step-by-step explanation:
(x+3)(2x-4)(x-6)
Expand
We have
(x + 3) ( 2x² - 12x - 4x + 24)
(x + 3)( 2x² - 16x + 24)
2x³ - 16x² + 24x + 6x² - 48x + 72
Simplify
Group like terms
2x³ - 16x² + 6x² + 24x - 48x + 72
We have the final answer as
2x³ - 10x² - 24x + 72Hope this helps you