Answer:
x⁻²
Step-by-step explanation:
If y = e²ˣ, y' = 2e²ˣ.
2xe²ˣ + 2e²ˣ ≠ 0
If y = x², y' = 2x.
2x² + 2x² ≠ 0
If y = x⁻², y' = -2x⁻³.
-2x⁻² + 2x⁻² = 0
The x^-2 function is a solution to the differential equation
[tex]xy ' + 2y = 0.[/tex]
We have given,
The differential equation[tex]xy ' + 2y = 0.[/tex]
What is the differential equation?A differential equation is an equation with one or more derivatives of a function. The derivative of the function is given by dy/dx.
If [tex]y = e^{2x}, y' = 2e^{2x}.[/tex]
[tex]2xe^2x + 2e^2x[/tex]≠0
If [tex]y = x^2, y' = 2x.[/tex]
[tex]2x^2 + 2x^2[/tex]≠0
If[tex]y = x^-2, y' = -2x^-3.[/tex]
[tex]-2x^-2 + 2x^-2= 0[/tex]
Therefore, the x^-2 function is a solution to the differential equation
[tex]xy ' + 2y = 0.[/tex]
To learn more about the differential equation visit:
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Find the 90th term of the arithmetic sequence 16 , 21 , 26
Answer:
The 90th term of the arithmetic sequence is 461.
Step-by-step explanation:
Arithmetic sequences concepts:
The general rule of an arithmetic sequence is the following:
[tex]a_{n+1} = a_{n} + d[/tex]
In which d is the common diference between each term.
We can expand the general equation to find the nth term from the first, by the following equation:
[tex]a_{n} = a_{1} + (n-1)*d[/tex]
In this question:
[tex]a_{1} = 16, d = 21 - 16 = 26 - 21 = 5[/tex]
So
90th term
[tex]a_{90} = a_{1} + (90-1)*d[/tex]
[tex]a_{90} = 16 + 89*5[/tex]
[tex]a_{90} = 461[/tex]
The 90th term of the arithmetic sequence is 461.
Find the slope between:
(4, -1)
(-2,4)
Answer:
-5
----
6
Step-by-step explanation:
y2-y1
-------
x2-x1
-1-4 -5
------ = ---
4--2 6
~Anna
Find the slope of the line passing through the poin (- 3, 7) (2, - 6)
Answer:
[tex] \frac{13}{ - 5} [/tex]
Step-by-step explanation:
[tex] \frac{y1 - y2}{x1 - x2} \\ \frac{7 - ( - 6)}{ - 3 - 2} \\ \frac{7 + 6}{ - 5} \\ = \frac{13}{ - 5} [/tex]
Answer:
-2.6
Step-by-step explanation:
Slope or gradient is the ratio of the vertical (y axis) and horizontal distances (x axis) between two points on a line.
It should be noted that it is defined as zero if the line is horizontal, but undefined if it is vertical.
Given:
Coordinates (- 3, 7) (2, - 6)
y1 = 7, y2= -6, x1= -3, x2=2
Slope : ∆ y/ ∆ x
= (y2 - y1 )/ (x2 - x1)
= (-6 - (7))/ (2 - (-3))
= (-13)/(5) = -13:5= -2.6
If a population of a certain type of animal has a mean of 44cm and a standard deviation of 3 cm what is the z-score for a member of the population witha height of 38cm
Answer:
The z-score is -2
Step-by-step explanation:
Here, we are asked to calculate the z-score of the height.
Mathematically, we can calculate z-score by using the formula below;
z-score = (x-mean)/SD
According to this question, mean = 44cm and SD = 3cm with x here = 38cm
Plugging these values into the z-score equation, we have
z-score = (38-44)/3 = -6/3 = -2
what's 4.54 rounded to the nearest tenth?
Answer:
4.5
Step-by-step explanation:
have a nice day :)
Answer:
4.5
Step-by-step explanation:
when rounding, if the previous number is over 5 you round up or if it's under 5, you stay the same. the tenths spot is the first after the decimal and the next number 4 so you would stay the same.
Find F(-2)
F(x)=5^x
A=1/25
B=1/10
C=-10
D=-25
how to solve for pi and
Answer:
pi=3.14
Step-by-step explanation:
3.14
Answer:
You’ve studied and now you’re geared up for the ACT math section (whoo!). But are you ready to take on the most challenging math questions the ACT has to offer? Do you want to know exactly why these questions are so hard and how best to go about solving them? If you’ve got your heart set on that perfect score (or you’re just really curious to see what the most difficult questions will be), then this is the guide for you.
We’ve put together what we believe to be the most 21 most difficult questions the ACT has given to students in the past 10 years, with strategies and answer explanations for each. These are all real ACT math questions, so understanding and studying them is one of the best ways to improve your current ACT score and knock it out of the park on test day.
Brief Overview of the ACT Math Section
Like all topic sections on the ACT, the ACT math section is one complete section that you will take all at once. It will always be the second section on the test and you will have 60 minutes to completed 60 questions.
The ACT arranges its questions in order of ascending difficulty. As a general rule of thumb, questions 1-20 will be considered “easy,” questions 21-40 will be considered “medium-difficulty,” and questions 41-60 will be considered “difficult.”
The way the ACT classifies “easy” and “difficult” is by how long it takes the average student to solve a problem as well as the percentage of students who answer the question correctly. The faster and more accurately the average student solves a problem, the “easier” it is. The longer it takes to solve a problem and the fewer people who answer it correctly, the more “difficult” the problem.
(Note: we put the words “easy” and “difficult” in quotes for a reason—everyone has different areas of math strength and weakness, so not everyone will consider an “easy” question easy or a “difficult” question difficult. These categories are averaged across many students for a reason and not every student will fit into this exact mold.)
All that being said, with very few exceptions, the most difficult ACT math problems will be clustered in the far end of the test. Besides just their placement on the test, these questions share a few other commonalities. We'll take a look at example questions and how to solve them and at what these types of questions have in common, in just a moment.
But First: Should You Be Focusing on the Hardest Math Questions Right Now?
If you’re just getting started in your study prep, definitely stop and make some time to take a full practice test to gauge your current score level and percentile. The absolute best way to assess your current level is to simply take the ACT as if it were real, keeping strict timing and working straight through (we know—not the most thrilling way to spend four hours, but it will help tremendously in the long run). So print off one of the free ACT practice tests available online and then sit down to take it all at once.
Once you’ve got a good idea of your current level and percentile ranking, you can set milestones and goals for your ultimate ACT score. If you’re currently scoring in the 0-16 or 17-24 range, your best best is to first check out our guides on using the key math strategies of plugging in numbers and plugging in answers to help get your score up to where you want it to. Only once you've practiced and successfully improved your scores on questions 1-40 should you start in trying to tackle the most difficult math problems on the test.
If, however, you are already scoring a 25 or above and want to test your mettle for the real ACT, then definitely proceed to the rest of this guide. If you’re aiming for perfect (or close to), then you’ll need to know what the most difficult ACT math questions look like and how to solve them. And luckily, that’s exactly what we’re here for.
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Ready, set...
21 Hardest ACT Math Questions
Now that you're positive that you should be trying out these difficult math questions, let’s get right to it! The answers to these questions are in a separate section below, so you can go through them all at once without getting spoiled.
#1:
body_ACT_0506_-_56
#2:
body_ACT_0506_-_59
#3:
body_ACT_0809_-_38_J
#4:
body_ACT_0809_-_54
#5:
body_ACT_0809_-_55-1
#6:
body_ACT_0809_-_56
#7:
body_ACT_0809_-_57-1
#8:
body_ACT_0809_-_60
#9:
body_ACT_1112_-__48-1
#10:
body_ACT_1112_-_45
#11:
body_ACT_1112_-_51-1
#12:
body_ACT_1112_-_52
#13:
body_ACT_1112_-_53
#14:
body_ACT_1112_-_58
#15:
body_ACT_1314_-_55-1
#16:
body_ACT_1314_-_59
#17:
body_ACT_1516_-_43
#18:
body_ACT_1516_-_44
#19:
body_ACT_1516_-_52
#20:
body_ACT_1516_-_57-1
#21:
body_ACT_1516_-_58-1
Step-by-step explanation:
Please people help me
Answer:
C. 8.06
Step-by-step explanation:
You can use the pythagorean theorem to find that the length of the hypotenuse of this triangle is [tex]\sqrt{7^2+4^2}=\sqrt{49+16}=\sqrt{65}\approx 8.06[/tex]. Hope this helps!
Answer: C
Step-by-step explanation:
7^2 + 4^2 =c^2
49 + 16 =c^2
65=c^2
c= 8.06
During a period of 30 seconds, a scuba diver changed her depth by –150 feet. Determine the average change in depth per second.
Answer:
I think it might be five feet
Step-by-step explanation:
I'm smart<3
The average change in depth is 5 feet/ second.
It is required to find the average change in depth per second.
What is slope?Numerical measure of a line's inclination relative to the horizontal. In analytic geometry, the slope of any line, ray, or line segment is the ratio of the vertical to the horizontal distance between any two points on it.
Given:
[tex](x_{1} ,y_{1} )=(0,0)\\\\(x_{2} ,y_{2} )=(30,150)\\\\[/tex]
Scuba diver's rate of change
[tex]m=\frac{150-0}{30-0} \\\\m=5[/tex]feet/sec.
Therefore, the average change in depth is 5 feet/ second.
Learn more about slope here:
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Suzanne folded 12 towels. If Allison folded 4 times as many towels as Suzanne, which number sentence shows how many towels Allison folded? A. 12 × 12 = 144 B. 4 × 12 = 48 C. 4 × 4 = 16 D. 12 + 4 = 16
Answer:
B
Step-by-step explanation:
Let's use S for Suzanne
A for Allison
S= 12
4s = A
4 x 12 =48
Lilly saw a jellyfish at 6 feet below sea level.She saw a bright blue fish at 10 feet below sea level. What is the distance between the blue fish and the jellyfish
Answer:
Step-by-step explanation:
4 feet
Answer:
It would be 4 feet because 6-10 is 4 its really easy
Step-by-step explanation:
I hope i helped?
Kobe’s birthday is in July and it is always hot. This year, he wants to have popsicles as a cool snack. If Kobe expects 90 people to be at the party, does it make more sense to buy 100 pack of popsicles or multiple 16-packs?
Answer:
100 pack
Step-by-step explanation:
Well first just calculate the cost. 16 * 6 = 96
1.75 * 6 = 10.5
100 popsicles is cheaper.
A farmer has 180 eggs.
He stores them in trays.
Each tray holds 30 eggs.
How many trays does he need?
Answer:
A farmer has 180 eggs.
He stores them in trays.
Each tray holds 30 eggs.
Then he would need 180/30 = 6 trays.
Hope this helps!
:)
What is the distance between (2,4) and (5,-2)
Answer:
my answer is 3√ 5
Answer:
-3
Step-by-step explanation:
Here is the formula for this one: (x 2- x 1) + (y 2- y 1).
Hope this helps.
What has a value closest to 9?
Answer: i think 83?"?"?
100 points. Easy question.
Topic: Adding and Subtracting fractions.
ONLY DO QUESTION 8 NOT 9 AND 10
Answer:
17 1/8 km
Step-by-step explanation:
6 7/8 + 5 1/2 + 4 3/4
The common denominator is 8
6 7/8 already has a denominator of 8
5 1/2 = 5 1/2*4/4 = 5 4/8
4 3/4 *2/2 = 4 6/8
6 7/8 + 5 4/8 + 4 6/8
15 17/8
15 + 8/8+ 8/8+1/8
15 + 1 + 1 + 1/8
17 1/8
Answer:
[tex]\boxed{17\frac{1}{8} \ \sf{km}}[/tex]
Step-by-step explanation:
6 7/8 + 5 1/2 + 4 3/4
Turn to improper fractions.
55/8 + 11/2 + 19/4
Make denominator equal by LCM.
55/8 + 44/8 + 38/8
Add fractions because they have same denominators.
137/8
Turn to mixed fraction.
17 × 8 = 136 + 1
17 1/8
The circumference of a circular field is 163.28 yards. What is the radius of the field? Use 3.14 for π and do not round your answer.
Answer:
r = 26
Step-by-step explanation:
C = 2 π r
163.28 = 2 (3.14) (r)
163.28 / 2 / 3.14
26 = r
Answer:
26 yards
Step-by-step explanation:
2πr=163.28
2×3.14×r=163.28
r=163.28÷6.28=26 yards
Which of the following relations describes a function?
A.
{ (3, -1), (3, 1), (4, -1), (4, 1) }
B.
{ (-3, -4), (-4, -3), (3, 4), (4, 3) }
C.
{ (3, 3), (3, 4), (4, 3), (4, 4) }
D.
{ (0, 0), (0, 3), (3, 0), (3, 3) }
Answer:
B
Step-by-step explanation:
If the original quantity is 10 and the new quantity is 13, what is the percent increase?
Answer:
30%
Step-by-step explanation
13 is a 30% increase of 10.
Answer:
30% increase
Step-by-step explanation:
subtract original quantity from new quantity: 13 - 10 = 3
divide the difference by original quantity: 3/10 = 0.30
convert that result to percentage by moving decimal place over twice to the right.
You're done! Answer = 30%
Whitney is making a strawberry cake for her brother's birthday. The cake pan is a right rectangular prism cm20, wide by cm28, long. Whitney puts 1848 cm cubed of batter into the pan.
Answer:
3.3 cm
Step-by-step explanation:
Volume of a rectangular prism =Length X Width X Height
Volume of the cake batter [tex]=1848cm^3[/tex]
The cake pan is a right rectangular prism 20cm wide by 28cm long.
Therefore:
1848=20 X 28 X Depth
1848=560 X Depth
Depth=1848/560
Depth of the batter=3.3 cm
The batter is 3.3cm deep in the pan.
Need help ASAP. WILL MARK BRAINLIEST
Answer:it is b2 I took the test
Step-by-step explanation:
Now mark me braunliest
The Math Club wants to order t-shirts to recognize students who improved their performance in Algebra I for their hard work and effort. Hot Shirts charges $10 per shirt with a $15 set up charge. T-Shirt World charges $5 per shirt with a $50 set up charge.
Answer:
Cost of ordering t-shirts the same at both sides is 7
The cost is $85
Step-by-step explanation:
let x equal the number of tshirts
Hence:
15 + 10x = 50 + 5x
10x-5x= 50-15
5x = 35
35/5x
x = 7
Therefore the cost of ordering t-shirts the same at both sides is 7
The cost is $85
i need help with this questions can someone please help me
Answer:
pupil question:
3 6 1
3 have brothers
6 have both
1 has sisters
Step-by-step explanation:
3+6+1+2=12
Divide -x^3-2x^2-2x+4 by x -3
Answer:
− x 2 − 5 x − 17 − 47 x − 3
Step-by-step explanation:
Divide using polynomial division.
Polynomial :
An algebraic expression consisting of one or more summed terms, each term consisting of a constant multiplier and one or more variables raised to integral powers.
HELP PLZ 12+points
Select the correct answer from the drop-down menu.
Luther and Nelson are seniors on the school basketball team. The box plots represent the number of points they scored in 20 randomly selected games.
The number of points Nelson scores in each game is generally__?___ the number of points Luther scores in each game.
CHOICES FOR THE BLANK:
A)greater than
B)less than
C)the same as
Answer:
more than
Step-by-step explanation:
Answer: (A ) greater than
Step-by-step explanation:
The answer is greater than the number Of points Luther scores in each game
All you have to do is count the little lines and wherever the little end part of the line in box ends is the number of points he gets a game so Nelson is 24 points and Luther is 19 points.
An equilateral triangle has a perimeter of 12 x + 18 units. Which expression can be used to show the length of one side of the triangle?
6 (2 x + 3): Each side length is 2 x + 3 units.
3 (4 x + 6): Each side length is 4 x + 6 units.
2 (6 x + 9): Each side length is 6 x + 9 units.
x (12 + 18): Each side length is 12 + 18 units.
Answer:
3 (4 x + 6): Each side length is 4 x + 6 units.
Step-by-step explanation:
Perimeter of equilateral triangle = 12x + 18 = 3(4x + 6) units
Answer:
B
Step-by-step explanation:
An equilateral triangle has a perimeter of 12 x + 18 units. Which expression can be used to show the length of one side of the triangle?
6 (2 x + 3): Each side length is 2 x + 3 units.
✔3 (4 x + 6): Each side length is 4 x + 6 units.
2 (6 x + 9): Each side length is 6 x + 9 units.
x (12 + 18): Each side length is 12 + 18 units.
Which rule describes the relationship between the x- and y- coordinates on line m?
Choose one answer:
A) y = x + 1
B) y = 2x + 1
Answer: My bad I don’t know how to teach it but it’s B
2. 2x - y = 6,
- x + y = -1
Answer:
x = 5
y = 4
Step-by-step explanation:
just substitute the value of one variable into the other
-x +y = -1
or y = -1 +x <-------- (i just added x to the right side)
now u know what y is equal to, just substitute that value into the first equation
2x - (-1+x) = 6 <-------- instead of y, i put the value of y from the 2 equation
NOW SOLVE FOR X!
2x +1 -x = 6
x + 1 = 6
x = 5
now solve for y since you have the value of x
y = -1 + x
or y = -1 + 5
y = 4
Answer:
y=3.166 x=4.166
Step-by-step explanation:
What is the speed of a wave with a frequency of 2 Hz and a wavelength of 87 m
Answer:
174 m/s
Step-by-step explanation:
Formula: velocity = frequency x wavelength
V = 2 x 87
V = 174
Hope that helps!
Answer:
174
Step-by-step explanation:
Did the test
3. A publisher printed 30,000 copies of an edition of a book. Each copy of the book cost the publisher 45Gp to produce and it is sold to the public for 76Gp. The publisher agrees to pay the author 10% of the selling price of the first 6000 copies sold, and 12% of the selling price for all copies sold in excess of 6000. Altogether 25,300 copies of the book are sold. Calculate, correct to the pesewa: I) the total amount received by the author
Answer:
The total amount received by the author is of 221,616Gp.
Step-by-step explanation:
25,300 copies sold.
For the first 6000, he receives 10% of the selling price of 76 Gp.
For those in excess of 6000, that is, the next 25300 - 6000 = 19300, he receives 12% of the selling price of 76 Gp.
Total amount received by the author:
6000*0.1*76 + 19300*0.12*76 = 221,616
The total amount received by the author is of 221,616Gp.
