Answer:
Depending on how many miles she plans to drive will drive her decision.
At 180 miles both plans will cost the same.
Before that the first plan is cheaper
After the second is cheaper
Step-by-step explanation:
If y= 1-x+x²/1+x-x² than how about y'=?
This question is about derived function.
Answer:
as
[tex]\frac{d}{dx}\left(1-x+\frac{x^2}{1}+x-x^2\right)=0[/tex]
so
[tex]y'=0[/tex]
Step-by-step explanation:
Given the function
[tex]y=\:1-x+\frac{x^2}{1}+x-x^2[/tex]
Taking derivative
[tex]\frac{d}{dx}\left(1-x+\frac{x^2}{1}+x-x^2\right)[/tex]
[tex]\mathrm{Apply\:the\:Sum/Difference\:Rule}:\quad \left(f\pm g\right)'=f\:'\pm g'[/tex]
[tex]=\frac{d}{dx}\left(1\right)-\frac{d}{dx}\left(x\right)+\frac{d}{dx}\left(\frac{x^2}{1}\right)+\frac{d}{dx}\left(x\right)-\frac{d}{dx}\left(x^2\right)[/tex]
as
[tex]\frac{d}{dx}\left(1\right)=0[/tex] ∵ [tex]\mathrm{Derivative\:of\:a\:constant}:\quad \frac{d}{dx}\left(a\right)=0[/tex]
[tex]\frac{d}{dx}\left(x\right)=1[/tex] ∵ [tex]\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(x\right)=1[/tex]
[tex]\frac{d}{dx}\left(\frac{x^2}{1}\right)=2x[/tex] ∵ [tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}[/tex]
[tex]\frac{d}{dx}\left(x\right)=1[/tex] ∵ [tex]\mathrm{Apply\:the\:common\:derivative}:\quad \frac{d}{dx}\left(x\right)=1[/tex]
[tex]\frac{d}{dx}\left(\frac{x^2}{1}\right)=2x[/tex] ∵ [tex]\mathrm{Apply\:the\:Power\:Rule}:\quad \frac{d}{dx}\left(x^a\right)=a\cdot x^{a-1}[/tex]
substituting all the values in the expression
[tex]=\frac{d}{dx}\left(1\right)-\frac{d}{dx}\left(x\right)+\frac{d}{dx}\left(\frac{x^2}{1}\right)+\frac{d}{dx}\left(x\right)-\frac{d}{dx}\left(x^2\right)[/tex]
[tex]=0-1+2x+1-2x[/tex]
[tex]=0[/tex]
Hence,
[tex]\frac{d}{dx}\left(1-x+\frac{x^2}{1}+x-x^2\right)=0[/tex]
Therefore,
[tex]y'=0[/tex]
Right inequalities to represent the situations below to get the 10% discount a shopper must spend at least $300 USD to represent the spending in dollars of a shopper who gets the discount
Answer:
D≥300
Step-by-step explanation:
Deonna is arranging pictures of her trip to Jamaica into a photo album. Twenty percent of her photos are just of her. If Deonna took 200 photos, then how many photos are there of just her in the picture?
Answer:
I think it is 10% but I may be wrong hope this kinda helped
Step-by-step explanation:
HELP ME PLEASE!!
Which equation describes this line!!
Answer:
Option A: y-9=2(x-1)
Step-by-step explanation:
Notice that the answer choices are in point-slope form which is y-y1=m(x-x1)
The slope, m, is (9-3)/(1-(-2))=6/(1+2)=6/3=2, but that's given anyway.
Option A would be right because y1=9 and x1=1 which is where the line crosses through (1,9)
B is not right because that would suggest the line crosses (2,3) as y1=3 and x1=2, but it actually crosses (-2,3) so it should've been y-3=2(x+2)
C and D are wrong because the points aren't crossed through
Can someone help with this one? You get 35 points
Answer:
the answer is d
Step-by-step explanation:
Find the slope of the lines that passes through the points (-8,-11) and (17,4).
Answer:
[tex]\displaystyle m=\frac{3}{5}[/tex]
Step-by-step explanation:
The slope of a line.
Suppose we know the line passes through points A(x1,y1) and B(x2,y2). The slope can be calculated with the equation:
[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We are given the points (-8,-11) and (17,4).
[tex]\displaystyle m=\frac{4+11}{17+8}[/tex]
[tex]\displaystyle m=\frac{15}{25}[/tex]
[tex]\mathbf{\displaystyle m=\frac{3}{5}}[/tex]
3/4 divided by 4/3 whats the answer to this problem
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
[tex] \frac{3}{4} \div \frac{4}{3} = \frac{3}{4} \times \frac{3}{4} = ({ \frac{3}{4} })^{2} = \frac{9}{16} \\ [/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
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If the terminal side of angle A passes through (-5,2) find the value of sec A
Answer:
The value of sec A = - √29/5
Step-by-step explanation:
As the terminal side of angle 'A' passes through (-5,2).
so the angle is in the 2nd quadrant.
We can find the length of the hypotenuse using the Pythagorean Theorem
[tex]c^2\:\:=\:\left(-5\right)^2\:+\:2^2[/tex]
[tex]c^2=5^2+2^2[/tex]
[tex]c^2=25+4[/tex]
[tex]c^2=29[/tex]
[tex]c=\sqrt{29}[/tex]
As we know that
cos A = adjacent/hypotenuse
sec A = 1/cosA
= hypotenuse/adjacent
= √29/-5
= - √29/5
Therefore, the value of sec A = - √29/5
Please help or at least try and also I’m so sorry if u can’t read it well
the set of all numbers less than or equal to -6 or greater than it equal to -2
Answer:
Step-by-step explanation:
-6 ≥ x
-2 ≤ x
I don't think you can combine this into one statement.
Your line looks something like
<---------------O O------------------------->
-6 -2
Shade in the 2 Os. The shaded in Os are included in the way the line looks.
If 7 toothpaste tubes cost 40.50 how much does one tube cost?
Answer:5.78
Step-by-step explanation: It is 5.78 bc do 40.50 divided by 7 and you will get your answer
Brainliest please???
Answer:
Each tube costs about $5.79.
Step-by-step explanation:
To find the cost of each tube, divide the total cost by the total number of toothpaste tubes.
40.50/7 = 5.785714286 which approximates to 5.79
(Giving brainliest!!!)
How do you solve 7,124 ÷ 26 using standard algorithm?
Answer:
274
Step-by-step explanation:
The standard algorithm of multiplication is based on the principle that you already know: multiplying in parts (partial products): simply multiply ones and tens separately, and add.
However, in the standard way the adding is done at the same time as multiplying. The calculation looks more compact and takes less space than the “easy way to multiply” you have learned.(i really think this is correct but I am so so sooo sorry if it's not!!!!)
i feel happy after 3 years of being emotionless. witch proportion can be used to solve the following percent problem? what is 50% of 70?
a. x/70=50/100
b. x/50=70/100
c. 50/70=x/100
d. 70/x=50/100
34 points for answering
Solve for X.........
Help ASAP Find the measure of 3.
90°
26°
116°
64°
Answer:
90°
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
A sock drawer has 17 folded pairs of socks, with 5 pairs of white, 8 pairs of black and 4 pairs of blue. What is the probability, without looking in the drawer, that you will first select and remove a black pair, then select either a blue or a white pair?
Answer:
26.4%
Step-by-step explanation:
PLS GIVE BRAINLIEST
The probability of selecting a black pair of socks first, then a blue or white pair of socks is 27/136.
The probability of selecting a black pair of socks first is:
probability = (number of black pairs)/(total number of pairs)
= 8/17
Once a black pair of socks has been selected, there are 16 pairs of socks left in the drawer. Of these 16 pairs, 9 are either blue or white.
The probability of selecting a blue or white pair of socks second is:
probability = (number of blue and white pairs)/(number of remaining pairs)
= 9/16
Therefore, the overall probability of selecting a black pair of socks first, then a blue or white pair of socks is:
probability = (8/17)*(9/16)
= 27/136
To learn more about probability here:
https://brainly.com/question/32117953
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What will happen to the graph of the line y = -54x + 3 if you change -54 to 54?
Answer:
Graph the line using the slope and y-intercept, or two points.
Slope:
1
y-intercept: ( 0 , 0 ) x y 0 0 1 1
Plzz help....Calculate the length of the corresponding sides for FGHIJ and ABCDE. You will need to use the distance formula
[tex]d = \sqrt{x2 - x1) {2}^{?} } + (y2 - y1) {2}^{?} [/tex]
for sides that are not purely horizontal of vertical. Show your work in the table. Afterward, confirm your calculations using GeoGebra.
The distance between the points have been calculated.
What is the Distance Formula?The distance formula is used to calculate distance between two points on a coordinate system.
The formula is
[tex]\rm d = \sqrt { (x_2-x_1)^2+(y_2-y_1)^2}[/tex]
The coordinates of ABCD is A(0,4), B(2,4), C(2,3), D(4,2), E(4,0)
The coordinates of FGHI is F(7,1), G(6,1), H(6,1.5), I(5,2), J(5,3)
AB² = (2-0)²+(4-4)²
AB = 2
FG² = (6-7)²+(1-1)²
FG =1
BC² = (2-2)²+(3-4)²=1
BC = 1
GH² = (6-6)²+(1.5-1)²=0.5
GH = 0.5
DI² = (5-4)²+(2-2)²
DI = 1
HI² = (5-6)²+(2-1.5)² = 1.25
HI = 1.12
DE² = (4-4)²+(0-2)²
DE = 2
IJ² = (5-5)²+(3-2)²
IJ = 1
EA² = (0-4)²+(4-0)²
EA = 5.66
JK² = (7-5)²+(1-3)²
JK = 2.83
The missing data of the question is
The coordinates of ABCD is A(0,4), B(2,4), C(2,3), D(4,2), E(4,0)
The coordinates of FGHI is F(7,1), G(6,1), H(6,1.5), I(5,2), J(5,3)
To know more about Distance Formula
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6*9+(6+9)=?
Plz I really need this in the next minute.
andy is scuba diving he starts at sea level and then descends 10 feet in 2 1/2 minutes. how would you represent andy’s descent as a unit rate? express your answer as an integer
Answer:
4 feet/minute
explanation:
The rate of descent = (10 feet)/(2.5 mn) = 4 ft/min
Monthly, Juan's net earnings are $6,000, and expenses are $5,000. If Juan saves the difference, how much will Juan have saved after 6 years
Answer:
$72,000
Step-by-step explanation:
6000-5000=1000
1000x6 =6000
6000x12=72,000
What equation is graphed in this figure?
y−4=−13(x+2)
y−3=13(x+1)
y+2=−3(x−1)
y−5=3(x−1)
Number graph ranging from negative four to four on the x and y axes. A line is drawn on the graph that passes through begin ordered pair negative one comma four end ordered pair and begin ordered pair one comma negative two end ordered pair
Answer:
C. [tex] y + 2 = -3(x - 1) [/tex]
Step-by-step explanation:
All we need to create an equation of the given graph is a point on the line (x1, y1) and the slope (m) of the line.
Thus, equation of in point-slope form is given as [tex] y - y_1 = m(x - x_1) [/tex].
Finding the slope (m) of the line of the graph given, using points (0, 1) and (1, -2).
[tex] m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 - 1}{1 - 0} = \frac{-3}{1} = -3 [/tex]
Substitute (x1, y1) = (1, -2) and m = -3 into [tex] y - y_1 = m(x - x_1) [/tex]
[tex] y - (-2) = -3(x - 1) [/tex]
[tex] y + 2 = -3(x - 1) [/tex]
The answer is C.
Find the mean for the scores 3860,5300,8560,4,200,5360
Answer:
The mean is 5444
Step-by-step explanation:
Hope this helps!
Answer:
add and divide for the mean
Step-by-step explanation:
3860 + 5300 + 8560 + 4200 + 5360 = 27280
27280 ÷ 5 = 5456
Also, I have inserted a rhythm that helps you remember the mean, median, mode and range.
Hope this helps, stay safe, take care, keep smiling and always be happy. I believe in you my friend!! (if this is wrong please tell my and I will improve my answer!)The _________ of a hypothesis test is the probability (1minus beta) of rejecting a false null hypothesis.
Answer:
Power
Step-by-step explanation:
An hypothesis is usually formulated at the beginning of research, it is usually in line with the problem statement and gives the possible outcome.
An hypothesis is either accepted or rejected.
Power in hypothesis is the probability of rejecting null hypothesis when it is false. It helps in making a correct decision by rejecting the null hypothesis when it is not true.
power ranges between 0 to 1 when it is close to 1 it is said to be very strong and has the probability of rejecting a null hypothesis when it is not true.
Power helps to avoid a type II error in statistics.
A child weighs 83 pounds. Given that 1 pound is equal to 16 ounces, how many ounces does the child weigh? A. 1,228 ounces B. 1,328 ounces 1,411 ounces D. 1,584 ounces C. A ir 100% of what numhor?
Is this relation a function?
(2, -3), (-4, 2), (6,2), (-5, -3), (-3,0)
Answer:
no it is not because two different input values have the same output
Step-by-step explanation:
Answer:
Yes it is a function... Because we have output for each input
5 3/9 - 2 8/9 simplified
Answer:
2 4/9
Step-by-step explanation:
82 is what percent of 65.6?
Answer:
125
Step-by-step explanation:
82 percent of 65.6 is 125
Answer:
I hope I got your question correctly.
82% of 65.6 is 54.
Step-by-step explanation:
Consider this equation:
P%=[tex]\frac{x}{y}[/tex]
The value of P% here is 82, which is 0.82 in decimal form.
x is unknown
y is 65.6
Simply cross-multiply 65.6 and 0.82.
The result is 53.8 or 54.
1. The probability of telesales representative making a sale on a customer call is 0.15.
Representatives are required to achieve a mean of at least 5 sales each day.
(C) Find the least number oftcalls each day a representative should make to achieve this
requirement
(d) Calculate the least number of calls that need to be made by a representative for the
probability of at least 1 sale to exceed 0.95
Answer:
1c
[tex]n = 33[/tex]
1d
[tex]n = 19[/tex]
Step-by-step explanation:
From the question we are told that
The probability of telesales representative making a sale on a customer call is [tex]p = 0.15[/tex]
The mean is [tex]\mu = 5[/tex]
Generally the distribution of sales call made by a telesales representative follows a binomial distribution
i.e
[tex]X \~ \ \ \ B(n , p)[/tex]
and the probability distribution function for binomial distribution is
[tex]P(X = x) = ^{n}C_x * p^x * (1- p)^{n-x}[/tex]
Here C stands for combination hence we are going to be making use of the combination function in our calculators
Generally the mean is mathematically represented as
[tex]\mu = n* p[/tex]
=> [tex]5= n * 0.15[/tex]
=> [tex]n = 33[/tex]
Generally the least number of calls that need to be made by a representative for the probability of at least 1 sale to exceed 0.95 is mathematically represented as
[tex]P( X \ge 1) = 1 - P( X < 1 ) > 0.95[/tex]
=> [tex]P( X \ge 1) = 1 - P( X =0 ) > 0.95[/tex]
=> [tex]P( X \ge 1) = 1 - [ ^{n}C_0 * (0.15 )^0 * (1- 0.15)^{n-0}] > 0.95[/tex]
=> [tex] 1 - [1 * 1* (0.85)^{n}] > 0.95[/tex]
=> [tex] [(0.85)^{n}] > 0.05[/tex]
taking natural log of both sides
[tex]n = \frac{ln(0.05)}{ln(0.85)}[/tex]
=> [tex]n = 19[/tex]