Ffind an equation for the tangent to the curve at the given point. Then sketch the curve and the tangent together.
y=8 âx,(1,8)
Answers
Answer:
y = 4x + 4
Step-by-step explanation:
given :
y = 8 [tex]\sqrt{x}[/tex] , (1,8)
The equation for the tangent to the curve at the given point
y' = 8. ( [tex]( \frac{1}{2\sqrt{x} } ) = \frac{4}{\sqrt{x} }[/tex]
next calculate the slope of the tangent (m) = y' at x = 1 = 4
hence the equation of the tangent is
y - y' = m( x - x1 )
y - 8 = 4 ( x - 1 )
y = 4x + 4
attached below is the sketch of the curve and the tangent together
Related Questions
A line passes through the point (2, -7) and has a slope of
21
Answers
plz help me
is 7/3 less than 6
Answers
Answer:
yes
Step-by-step explanation:
I figured this out by determining how many times 3 fits into 7.
7/3 is equal to 2 and 1/3
2 1/3 < 6
Hope this helps <3
please give brainliest
A radio manufacturer believes that the length of life of WPPX model radio is normal with µ=12 years and σ=2.5 years. (a) What percent of the radios will function for more than 16 years? (b) Suppose the company decides to replace 1% of the radios. Find the length of the guarantee period. i.e. find X. (c) What percent of the radios that will fail to satisfy the guarantee period of 10 years? , i.e. less than 10 years? (d) If 10% of the radios will function for more than X years, find X.
Help, please!!
Answers
Answer:
(a) 5.48%
(b) 17.82 years
(c) 21.19%
(d) 15.21 years
Step-by-step explanation:
z = (x-μ)/σ,
where
x is the raw score
μ is the population mean
σ is the population standard deviation.
µ=12 years and σ=2.5 years.
(a) What percent of the radios will function for more than 16 years?
For x = 16
z = 16 - 12/2.5
z = 1.6
Probability value from Z-Table:
P(x<16) = 0.9452
P(x>16) = 1 - P(x<16)
1 - 0.9452
= 0.054799
Converting to percentage = 0.054799 × 100
= 5.4799%
Approximately = 5.48%
(b) Suppose the company decides to replace 1% of the radios. Find the length of the guarantee period. i.e. find X.
find the z score of the 99th percentile = 2.326
Hence:z = (x-μ)/σ
2.326 = x - 12/2.5
Cross Multiply
2.326 × 2.5 = x - 12
5.815 = x - 12
x = 12 + 5.815
x = 17.815
Approximately = 17.82 years
(c) What percent of the radios that will fail to satisfy the guarantee period of 10 years? , i.e. less than 10 years?
When x < 10
Hence,
z = 10 - 12/2.5
z = -0.8
Probability value from Z-Table:
P(x<10) = 0.21186
Converting to percentage
0.21186 × 100
= 21.186%
Approximately = 21.19%
(d) If 10% of the radios will function for more than X years, find X.
The z score would be : 100 - 10%
= 90th percentile z score
We find the z score of the 90th percentile = 1.282
Hence:z = (x-μ)/σ
1.282 = x - 12/2.5
Cross Multiply
1.282 × 2.5 = x - 12
3.205 = x - 12
x = 12 + 3.205
x = 15.205
Approximately = 15.21 years
simplify 6³÷2³×9^-2
Answers
0.33333333333
HELP!!
Given f(x)= x^2 -3 and g(x)= x+2/x , find (g-f)(4). Show all work.
Answers
Answer:
-8.5Step-by-step explanation:
Given
f(x)= x^2 -3 and g(x)= x+2/xTo find
(g-f)(4)Solution
(g-f)(4) = g(4) - f(4) =4+2/4 - (4² -3) =4 + 0.5 - 16 + 3 =-8.5SOMEONE PLS HELP I WILL MARK BRAINLIEST
Answers
Answer:
Trina is closer to the ocean because she is only 85.6 meters away from the surface, while Jessie is 87.9 meters away. 85.6 is less than 87.9, which means that Trina is closer.
Step-by-step explanation:
Sea level is represented by the number 0. -85.6 is closer to the number 0 than 87.9 is, which tells us that Trina is closer.
Hope this helps :)
In San Diego, the weather was sunny 90% of the says this past June. How many days was it sunny
Answers
Answer:
27 days
Step-by-step explanation:
June has 30 days, So our equation looks like this:
30*0.9=27 days.
Julie is trying to choose between two packs of cookies. Pack A has 36 cookies for $5.90. Pack B has 24 cookies for $4.10. Which pack has cheaper cookies
Answers
Answer:
b
Step-by-step explanation:
PLZ HELP!!!
Will mark brainliest
44. Show that the quadrilateral with vertices A(0,0), B(a,0), C(a + b, c) and D(b, c) is a parallelogram.
Answers
Answer:
A=1
B=2
c=1
Step-by-step explanation:
for every house there is one and only one street address is it a function
Answers
Answer:
No
Step-by-step explanation:
No, it is not a function it would instead be a constant since the result will always be the same street address regardless of the input that is being given. With a function, a specific input is given to the function which is applied to the function itself, and output is provided based on the results generated from the input. Therefore, with a function, the input determines the output which is almost always different when different inputs get provided.
You have found the following ages in years of 4 gorillas at your local zoo. What is the average age of the gorillas at your zoo? What is the variance? 7, 10, 15,21
Answers
Answer:
your answer is 7
Step-by-step explanation:
i may be wrong but i think that is the correct answer oh and Have a good thanksgiving everyone
Answer:
13.3 and 28.2 years
Step-by-step explanation:
from Khan academy
please help me with the question.
Answers
Answer:
Step-by-step explanation:
∠a is corresponding to ∠f
∠b is alternate interior angle to ∠e
∠g is alternate exterior to ∠d
∠f is vertical to ∠h
∠b is consecutive( same side) interior with ∠f
If 200 men can make a road 5 km long in 25 days ,how much overtime per day must 60 men can work to finish an road 2 km in 32 days , 12 hours being a day's work ?
Answers
Answer:
Solution with step by step explanation is the image attached below
1+1 i just need to get this to 20 character
+75 points if you get this right
Answers
Answer:
2 is the correct answer
Answer:
2 is the answer djeidiejdieoeoododos
What is the first thing you do before solving an adding fraction problem
Pls help
Answers
Answer:
The first thing you do is make the denominators equal on both sides.
Step-by-step explanation:
As a example if you have the equation:
[tex]\frac{1}{2}[/tex] + [tex]\frac{2}{5}[/tex] =
you would multiply the denominator by the smallest multiple. I would do 2 * 5= 10
this would make the equation
[tex]\frac{x}{10} + \frac{x}{10} = ...[/tex]
next you have to do the same with the numerator.
so sence you multiplied the [tex]\frac{1}{2}[/tex] by five you will get [tex]\frac{5}{10}[/tex]
same with the other fraction except you multiplied it by two.[tex]\frac{2}{5}[/tex] x 2 = [tex]\frac{4}{10}[/tex]
next you add and simplify if needed
Answer:
3 simple steps
Step-by-step explanation:
1. Make sure the bottom numbers ( the denominators ) are the same
IF DIFFERENT find the LCD
2. Add the top numbers (the numerators )
3. simplify the fraction if needed
ex: 1/4 +1/4 = 2/4 (bottoms were the same) simplify 1/2
1/3 + 1/6 LCD of 3 and 6 so make the bottom numbers 6
so multiply 1/3 x 2 = 2/6
now you have 2/6 + 1/6 = 3/6 simplify 1/2
On a construction project, you estimate a total of 80 hours of labor. You will work 40 of the hours . Assistant A will work 25hours and assistant B will work the remaining hours . You earn $22 per hour. Assistant A $15 per hour . assistant B earns
Answers
Answer: assistant A earned a total of $550, assistant earned a total of $225 so in a total they earn a total of $775.
What is 52% of 230?
Answers
Answer:
4
Step-by-step explanation:
Answer:
119.6
Step-by-step explanation:
52 × 230 over 100 = 119.6
What is the amount earned by a car salesman if he sold a truck for $37.500 at a 2% commission? 15
Answers
Please help me as fast as you can please
Answers
Answer:
A B and D
Step-by-step explanation:
answers A B and E are correct because you started with 4500
At Nivea's Newsstand, 6 magazines cost $12.00. How many magazines could you buy with $16.00?
Answers
Answer:
You could by 8 magazines
Step-by-step explanation:
First, set up the equation 6/12=x/16
cross multiple to get 12x=96
divide both sides by 12 and x = 8
Divide 12 by 6 (cost is usually always first when dividing for unit rate). You’ll get 2.
That means, for every one magazine, it’s 2 dollars.
Now, divide 2 by 16.
Your answer should be 8!
You can purchase 8 magazines for $16 dollars!
A preschool class has 9 girls and 11 boys in
the class. What percent of the class are
girls?
Answers
Answer:
45%
Step-by-step explanation:
Add 9 and 11 to see how many students there are in all. The answer to this is 20.Divide 9 by 20. You get .45, which is equal to 45%.Five juniors and four seniors have applied for two open student council positions. School administrators have decided to pick the two new members randomly. What is the probability that one junior and one senior are chosen for the two positions?a. 0.395 b. 0.444 c. 0.506 d. 0569 e. 0.722
Answers
Answer:
The probability that one junior and one senior are chosen for the two positions is 0.556.
Step-by-step explanation:
The information provided is as follows:
Five juniors and four seniors have applied for two open student council positions. School administrators have decided to pick the two new members randomly.There are a total of 9 students who applied for the two open student council positions.
The total number of ways to select two students from 9 is: [tex]{9\choose 2}=\frac{9!}{(9-2)!}=36[/tex]
Compute the probability that one junior and one senior are chosen for the two positions as follows:
[tex]P(\text{1 Junior and 1 Senior})=\frac{5\times 4}{36}=0.556[/tex]
Thus, the probability that one junior and one senior are chosen for the two positions is 0.556.
Four friends are going to split the cost of a pizza. If p stands for the cost of the pizza, which of the following expressions could represent what each friend will pay?
4p
p-4
p/4
p
Answers
Answer:
p/4
Step-by-step explanation:
It is that because we are splitting, which is division.
So, P is the cost and 4 is how many
Simply, p/4
hope it helped!
Answer:
p/4
Step-by-step explanation:
This is right on oddy, hope it helps!
what is an equation for the translation of y=|x| left 7 units?
Answers
Answer:
y=|x+7|
Step-by-step explanation:
to move an absolute value equation to the left, all you have to do is add 7 to the inside of the absolute value:
y=|x+7|
We can check that this works, because the x-intercept moved from (0, 0) to (0, -7), meaning that the whole graph got translated 7 units to the left.
46% of the students that were surveyed like to eat at McDonald's if 351 students do not like to eat at McDonald's how many people were surveyed
Answers
Answer:650 people were surveyed
y = -4x – 5
y = 3.x – 2
Is (3, 7) a solution of the system?
Answers
Answer:
no
Step-by-step explanation:
this is because
-12-5=-17
-28-2= -30
A gardener makes a flower bed the bed is 14 in diameter calculate the circumference
Answers
Answer:
[tex]C=43.96[/tex]
Step-by-step explanation:
Circumference Formula:
C=2πr
The radius is half of the diameter...
[tex]14/2=7[/tex]
Pi is [tex]3.14[/tex]...
[tex]C=2*3.14*7[/tex]
[tex]C=43.96[/tex]
Why can prime number be a multiple of any other number except itself
Answers
Answer:
the factors of prime numbers are only 1 and itself
Answer:
A factor number can only be divided by itself or 1 meaning it cant be a factor anything more than that.
Step-by-step explanation:
Maria needs to be at the airport terminal at 15:20. It will take 2 hours to
drive to the airport from her home, and a further 30 minutes to park and get
to the terminal.
What is the latest time she should leave home?
Give
your answer as a time in the 24-hour clock.
Answers
Answer:
12:50
Step-by-step explanation:
15:20 - 2h= 13:20
13:20-30 min= 12:50
Answer:
12:50
Step-by-step explanation:
If it takes 2 hours to get there, you subtract 2 hours from 15:20 which gives you 13:20. It also says that she needs 30 minutes to park so you subtract that from 13:20 giving you 12:50
Please help me with this
Answers
Answer:
$62.50
Step-by-step explanation: 250 divided by 4 equals $62.10