Answer:
1/3
Step-by-step explanation:
[tex][x^2 - ln(2/x)]/[3x^2 + 2x]\\[/tex]
∞/∞
[tex]\frac{d}{dx}[x^2-ln(2/x)] =2x+\frac{1}{x}\\ \frac{d}{dx}[3x^2+2x]=6x+2\\\frac{2x+\frac{1}{x}}{6x+2}[/tex]
Also ∞/∞
[tex]\frac{d}{dx}[2x+\frac{1}{x}]=2-1/x^2\\\frac{d}{dx}[6x+2]=6\\\\[/tex]
[tex]\lim_{x \to \infty} \frac{2-\frac{1}{x^2} }{6}\\=\frac{2}{6} \\=\frac{1}{3}[/tex]
the speed of the current in a creek is 2 mph. A person can kayak 4 mi upstream in the same time that it takes him to kayak 8 mi downstream. What is the speed of the persons kayak in still water?
Answer:
I think 6 mph
Step-by-step explanation:
I needore characters so ingnor this sentence.
Can someone please help me I’m it’s kinda blurry but you have to zoom in
Answer:
1 is x=53
2 is x=37
3 is x=45
4 is x=180
5 is x=130
6 is x=90
7 is x=15
8 is x=60
9 is x=20
10 is x=140
11 is x=47
12 is x=18
Step-by-step explanation: These can all be solved using vertical angles, complimentary angle theorem, and supplementary angle theorem! Really fancy names to say that opposite angles are equal, vertical angles (like #5). Two angles that add up to 180 degrees forming a straight line, complimentary angles (like in #1). And in a right angle two angles will always add up to 90 degrees (#7 for example). 10 11 and 12 require you to use vertical angles and complimentary angles to solve them.
Simplify the expression 1/2(h+4) - 1/8(h+4) by combining like terms.
A. 1/6 (h+4)
B. 3h/8 + 2/10
C. 3/8 (h-4)
D. 3/8 (h+4)
WILL GIVE BRAINLIEST IF THE ANSWER IS CORRECT.
Answer:
3h/8+3/2
Step-by-step explanation:
Answer:
D. should be the correct answer.
An insurance company divides its policy holders into three categories: low risk, moderate risk, and high risk. The low-risk policy holders account for 55% of the total number of people insured by the company. The moderate-risk policy holders account for 25%, and the high-risk policy holders account for 20%. The probabilities that a low-risk, moderate-risk, and high-risk policy holder will file a claim within a given year are respectively 5%, 15% and 60%. Given that a policy holder files a claim this year, what is the probability that the person is a moderate-risk policy holder?
Answer:
0.2027 = 20.27% probability that the person is a moderate-risk policy holder
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]
In which
P(B|A) is the probability of event B happening, given that A happened.
[tex]P(A \cap B)[/tex] is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Policy holder files a claim.
Event B: The person is a moderate-risk policy holder.
Probability of filling a claim:
5% of 55%(low risk)
15% of 25%(moderate risk)
60% of 20%(high risk).
So
[tex]P(A) = 0.05*0.55 + 0.15*0.25 + 0.6*0.2 = 0.185[/tex]
Files a claim and is moderate risk:
15% of 25%(moderate risk)
So
[tex]P(A \cap B) = 0.15*0.25 = 0.0375[/tex]
Given that a policy holder files a claim this year, what is the probability that the person is a moderate-risk policy holder?
[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{0.0375}{0.185} = 0.2027[/tex]
0.2027 = 20.27% probability that the person is a moderate-risk policy holder
Your test scores in one class are 79 and 83. What possible scores can you earn on your next test to have a test average between 81 and 87, inclusive?
Answer:
83 and 84
Step-by-step explanation:
these numbers will both work because if you make an equation 79+83+x=y, with 87≥y≥81, and plug in these numbers for x, the answers are around 82 which is within the range.
Help me me please now
Answer:
AAA
Step-by-step explanation:
The AAA (angle-angle-angle) theorem proves they have 3 congruent angles, but not congruent sides.
my question is in the picture
Answer:
x = 1
y = -1
Step-by-step explanation:
-5x + 5y = -10
rewrite the order:
5y = 5x - 10
6x + 5y = 1
rewrite the order:
5y = 1 - 6x
substitute for 5y:
5x - 10 = 1 - 6x
simplify:
11x = 11
x = 1
5y = 1 - 6(1) = -5
y = -1
Please help i will give branliest!!!
Answer:b
Step-by-step explanation:
3.5*5*.5=8.75
2. In triangle ABC, SA is a right angle, and m B = 45°
(1 point)
C
16 ft
A
B.
What is the length of BC? If your answer is not an integer, leave it in simplest radical form.
O 16 ft
O 16.2 ft
O 16.5 ft
O 32 ft
Answer:
[tex]16\sqrt{2}[/tex]
Step-by-step explanation:
The given triangle shown is a 45-45-90. We can use this picture attached to figure out BC.
n in this case is 16ft
Based on the picture, we can get BC's length, which is n[tex]\sqrt{2}[/tex]
BC = [tex]16\sqrt{2}[/tex]
Can you help with this I don’t know how to solve this.
Answer:
[tex]arclength = 13.44 ft[/tex]
Step-by-step explanation:
We are given PS = 28 feet, which is the length of the diameter.
The formula for arc length is [tex]2\pi r\frac{x}{360}[/tex], where x is the degrees.
So, we need to find the radius. We know that the radius is half of the diameter, so:
[tex]\frac{28}{2}=14 ft[/tex]
We also need to find ∠TXS. Since we know the diameter is a line that crosses the center point of the circle, we also know that ∠PXT and ∠TXS add up to 180°. So:
∠PXT + ∠TXS = 180
125 + ∠TXS = 180
∠TXS = 180 - 125
∠TXS = 55°
Now, we can use the arc length formula:
[tex]arclength=2\pi r\frac{x}{360}[/tex]
[tex]arclength=2\pi (14)\frac{55}{360}[/tex]
[tex]arclength=13.43903524...[/tex]
[tex]arclength = 13.44 ft[/tex]
Check my work to make sure! Hope this helps!
An English professor assigns letter grades on a test according to the following scheme. A: Top 13% of scores B: Scores below the top 13% and above the bottom 61% C: Scores below the top 39% and above the bottom 20% D: Scores below the top 80% and above the bottom 10% F: Bottom 10% of scores Scores on the test are normally distributed with a mean of 72.8 and a standard deviation of 7.3. Find the numerical limits for a D grade. Round your answers to the nearest whole number, if necessary.
Solution :
The test is distributed normally with mean of 72.8 and the standard deviation of 7.3
Finding numerical limits for the D grade.
D grade : Scores below the top 80% and above the bottom 10%.
Let the bottom limit for D grade be [tex]$D_1$[/tex] and the top limit for D grade be [tex]$D_2$[/tex].
First find the bottom numerical limit for a D grade is :
[tex]$P(X<D_1)= 0.10$[/tex]
[tex]$P(X\leq D_1)= 0.10$[/tex]
[tex]$P\left(\frac{X-\mu}{\sigma} \leq \frac{D_1-\mu}{\sigma}\right) = 0.10$[/tex]
[tex]$P\left(Z \leq \frac{D_1-72.8}{7.3}\right) = 0.10$[/tex] ..........(1)
From (1)
[tex]$\frac{D_1 - 72.8}{7.3} = -1.28$[/tex]
[tex]$D_1 = -1.28(7.3)+72.8$[/tex]
= 63.45
≈ 64
Now the top numerical limit for D grade :
[tex]$P(X>D_2)= 0.80$[/tex]
[tex]$1-P(X\leq D_2)= 0.80$[/tex]
[tex]$P(X\leq D_2)= 1-0.80$[/tex]
[tex]$P(X\leq D_2)= 0.20$[/tex]
[tex]$P\left(\frac{X-\mu}{\sigma} \leq \frac{D_2-\mu}{\sigma}\right) = 0.20$[/tex]
[tex]$P\left(Z \leq \frac{D_2-72.8}{7.3}\right) = 0.20$[/tex] ..........(2)
From (2)
[tex]$\frac{D_2- 72.8}{7.3} = -0.84$[/tex]
[tex]$D_12= -0.84(7.3)+72.8$[/tex]
= 66.668
≈ 67
Therefore, the numerical limit for a D grade is 64 to 67.
Which one is a unit rate?
sk
5 pounds in 2 bags
15 miles per gallon
$8.00 for 3 boxes of oranges
22gallons of water in 5 days
Write an equation to represent the total cost y for x days of renting a mid-size car from each of these companies. *
Answer:
Step-by-step explanation:
Hindi ko alm hehe
Is the sum of the
angle measures always equal to the
sum of the arc measures
Yes or no ?
find the value of b in rectangle
SO BAD RN SMH SMH...HELP ME WITH MATH
4 x 2 - 5 + 63 + 1 =
Answer:
67
Step-by-step explanation:
4x2= 8-5= 3 + 63 = 66 + 1 = 67
Help ?? Anyone and how
Answer:
just insert the x numbers in the calculation.. so for x = - 3 - > (- 3) / 2 +4 = 2.5
Step-by-step explanation:
x - 2 = y 3
and so on
what is 1+1? pls, I need help. its for school
Answer:
its 2 :)
Step-by-step explanation:
Answer:
oh what a stiff XD
Step-by-step explanation:
ok 1+1=2 lol ❤️✌️ hey where you from I'm anmol kulkar from India
Corrie breathed 1 × 10^7 times in a year. She blinked 8 × 10^6 times that year. How many more times did Corrie breathe in a year than she blinked in that year? Write your answer in standard notation
Step-by-step explanation:
1 × 10 ^7 - 8 × 10 ^ 6
2 × 10 ^ 6 which is also equivalent to 2,000,000
The difference between one-third of a number and 11 is 10 in number form
Answer:
63
Step-by-step explanation:
The difference between one-third of a number and 11 is 10. x = 3*21, x = 63.
#5
(10 pts) You are jumping on a trampoline. For one jump, your height y (in feet) above the trampoline after t seconds can
be represented by y = -16t² + 24t. How many seconds are you in the air?
Answer:
1.5 seconds
Step-by-step explanation:
i took a test with the same question
Answer:
1.5
Step-by-step explanation:
taking the test
m∠IJK=155° and m∠ZJK=35°. Find m/∠IJZ
I am 20 years older than twice my daughter's age how old is my daughter you should already know my age in the last problem
17 years ago I was half the age I am now how old am I
this question is 100 points
Answer:
You are 34 years old
Step-by-step explanation:
Because, 34-17=17
17 is half of 34.
2x+20=y
y-17=0.5y
+17 +17
y=0.5y+17
2(0.5y+17)+20=0.5y+17
y+34+20=0.5y+17
y+54=0.5y+17
y=34
Answer:
Step-by-step explanation:
x= "I" age
x is 20 years older than x's daughter's age.
To find out daughter's age = 17x2 (34)
34-20 = 14
The daughter is 14.
Determine the equivalent system for the given system of equations.
4x − 5y = 2
10x − 21y = 10
A. 4x − 5y = 2
3x − y = 4
B. 4x − 5y = 2
24x − 47y = 22
C. 4x − 5y = 2
10x + 3y = 15
D. 4x − 5y = 2
14x + 26y = 12
Answer:
B) 4x − 5y = 2
24x − 47y = 22
Express as a difference: a+b, a+5
Answer:
a - (-b), a - (-5)
Step-by-step explanation:
A double negative negative is a positive, so a - (-b) = a + b, and a - (-5) is a + 5. However, a double negative is still a difference, so this answer works.
Answer:
The answer is a-(-b)
Step-by-step explanation:
It says difference, so you delete plus sign with minus sign
You have different lengths of material to use for a craft project:
0.93m 1.24m 0.62m 3.41m 1.5m 1.4m
Convert each length to centimetres, and then add them together to correctly calculate the total length.
Answer:
[tex]Lengths: 93cm, 124cm, 62cm, 341cm, 150cm, 140cm[/tex]
[tex]Total := 910cm[/tex]
Step-by-step explanation:
Given
[tex]Lengths: 0.93m, 1.24m, 0.62m, 3.41m, 1.5m, 1.4m[/tex]
Required
Convert to length and calculate the total
To calculate to centimeters, we simply multiply each length to 100.
So, we have:
[tex]Lengths: 0.93m, 1.24m, 0.62m, 3.41m, 1.5m, 1.4m) * 100[/tex]
[tex]Lengths: 93cm, 124cm, 62cm, 341cm, 150cm, 140cm[/tex]
The total is:
[tex]Total := 93cm+ 124cm+ 62cm+ 341cm+ 150cm+ 140cm[/tex]
[tex]Total := 910cm[/tex]
how do u find the angle measure of l
Answer:
The best way to measure an angle is to use a protractor. To do this, you'll start by lining up one ray along the 0-degree line on the protractor. Then, line up the vertex with the midpoint of the protractor. Follow the second ray to determine the angle's measurement to the nearest degree.
A kite is shown below with given dimensions in inches. What is the area in square units
Answer:
320
80
Step-by-step explanation:
Use the multiplier method to decrease £56 by 14% show your working
Answer: £46.44
Step-by-step explanation:
£56 × 0.86 or (1 - 0.14)
math HELPPP MEEEEEEEE
Answer: I HAVE YOUR ANSWER!!!!!
Step-by-step explanation:
51x + 26y + 17