Answer:
y = 6.20 + 12.4(x - pi/4)
Step-by-step explanation:
dy/dx = 2e^x secx + 2e^x secx * tanx= 2e^x secx (1 + tanx)
At x = pi/4, use sec(pi/4) = [tex]\sqrt{2}[/tex]. tan(pi/4) =1
so dy/dx = 2e^(pi/4) * [tex]\sqrt{2}[/tex] * (1 + 1) = [tex]4 \sqrt{2} e^{\pi/4}[/tex] ≈ 12.4 (This is the slope of the tangent line)
When x = pi/4, y = 2e^(pi/4) * [tex]\sqrt{2}[/tex] = [tex]2 \sqrt{2} e^{\pi/4}[/tex]= 6.20
Then the equation of the tangent line is
y = 6.20 + 12.4(x - pi/4)
Add 1/6 +3/4 + 2/3. Simplify the answer and write it as a mixed number, if possible.
Answer:
1 7/12
Step-by-step explanation:
Answer:
1 7/12
Step-by-step explanation:
Firstly, I'm not a native speaker, nor do we do mathematics in English but I'll explain it as I could possibly
Let all the denominators be 12, so multiplying 1/6 with 2, becomes 2/12
3/4 becomes 9/12 (multiplying with 3)
2/3 becomes 8/12
Adding them you get 19/12,
after you divide 19 by 12, the remaining is 7,
so as in mixed numbers, it's 1 7/12.
HELP ME QUICK!!
Complete the equation that represents the relationship between n and s.
Answer: s=n+6
Step-by-step explanation:
We know that s increases by 1 every time n increases by 1.
So we have s = n + [something]
To find this [something], we can just substitute one pair of values.
Take n=1, s=7 - we'll get 7 = 1 + [something] -> [something] = 6
So we have s = n+6
A shirt she is making. One button is 1/8 inch, one is 3/8 inch, and one is 1/4 inch, the button hole in the shower is 2/6 of an inch which of the buttons will fit through the button hole and explain
Answer:
1/4
Step-by-step explanation:
A random survey of 75 seventh graders at Cedar Middle School showed that 37 of them do volunteer work. Use these results to predict the approximate number of students who do volunteer work out of the 500 seventh graders at the school. Round to the nearest whole number.
Answer:
247 students
Step-by-step explanation:
37/75 = .49333...
so you multiply the 500 by .49333... and get
246.666
round up and get 247
consider the equation 36+ =6(6+5)
Answer:
36+30 = 6(6+5)
Step-by-step explanation:
We just simply expand the brackets:
6×6=36
6×5=30
30+36=76
so 76-36=30
So the missing number was 30
Function of the
graph
***Need answer and help to understand
Answer:
a. given ∠1≅∠2, the converse of the corresponding angles theorem shows l║m.
Step-by-step explanation:
There are several things you need to know to be able to answer this question.
corresponding angles where a transversal crosses (parallel) lines are angles that are in the same direction from the points of intersection. Here angles 1 and 2 are both "northwest" of the points of intersection, so are corresponding angles.the "corresponding angles theorem" tells you "if the lines are parallel, then corresponding angles at a transversal are congruent."the converse of a theorem "if A, then B" is "if B, then A". Here, the converse of the "corresponding angles theorem" is "if the corresponding angles at a transversal are congruent, then the lines are parallel."__
You are given ∠1 ≅ ∠2, so the hypothesis of the converse of the corresponding angles theorem is already true. The conclusion that the lines are parallel is what you are asked to prove. To prove that, you only need to identify the angles as being corresponding, and invoke the theorem. The logic matches answer choice A.
∠1≅∠2 is given. The diagram shows ∠1 and ∠2 are corresponding angles, so by the converse of the Corresponding Angles Theorem, l║m.
need help with the problem.
a school principal of 790 students needs to determine what percent of students passed and did not pass a state wide examination.Round to the nearest percent.
a. if 570 students pass the exam, what percent passed the test?
B. what percent didn't pass the test?
Answer 40% passed
and 50% failed
Step-by-step explanation:
Help math math ASAP please please
Answer:
B. Parallel lines have the same slope
Step-by-step explanation:
The slope is the inclination, two parallel lines have the same inclination and never intersect.
Hope this helps
PLEASE HELP ME FIND THE CORRECT ANSWERS FOR QUESTIONS 2 AND 3!!!
I WILL MARK BRAINLIEST!!
Answer:
top one is a
Step-by-step explanation:
bottom is d
What is correct answer for this question?
Answer:
0.47 dollars per kilogram and 2.14 kilograms per dollar should be it.
The recipe calls for 1/4 cups of cream.
What is the fraction of a pint do u need?
Answer:
Your answer is 1/8 pint.
Step-by-step explanation:
Since there are two cups for every one pint, this means that 1/4 a cup would equal 1/8 pint.
how do i solve this question for maths gcse ocr
Answer:
3 times
Step-by-step explanation:
Area of circle =pi*r^2
Area of shaded area=pi*4*4\2 (semi circle)
Area of unshaded area=pi *6*6-pi*4*4/2=pi*24
Divide 2nd by 1st
We get 3 times
Given f(x) = 4x - 6 and g(x) = f(2x), write an equation for g.
f(x)=4x-6
g(x) = f(2x)
Substitute 2x into the first equation, which you get
f(2x)=8x-6
So, g(x)=8x-6SOMEONE HELP ME PLEASE AND THANK YOU!!!!! :D :"(
Answer:
what are the drop down words.
Please help! I will mark Brainliest.
Part A: Write an algebraic expression for 4 more than 3 times a number.
Part B: Write a verbal expression for 2(n + 9).
Plss help i need it!
Answer:
A
Hope this helps!
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
Because a line segment does not have two arrows on the end and it does not have one arrow and it does not have nothing some the correct answer is A
please help the question is on the picture attached.
can someone help me with this question, please?
Answer:
which question?
Step-by-step explanation:
I'm confused on what your trying to solve
I dont get this question could someone help me out i will mark brainliest include steps!
Answer:
12.5
Step-by-step explanation:
In a rectangle, the two diagonals are equal length, so MK = JL = 2x + 9
Note MK = 2 * MN, so
2x + 9 = 2 * (3x + 1)
expand:
2x + 9 = 6x + 2
Solve:
9 - 2 = 6x - 2x
4x = 7
x = 7/4
MK = JL = 2x + 9 = 2 * 7/4 + 9 = 7/2 + 9 = 3.5 + 9 = 12.5
PLEASE HELP ME
Jane and Eric are helping their teacher buy supplies for a research project. Every student will get a bag with 2 pencils and 30 index cards.
The teacher gave Jane $17 to buy pencils from the school store. The pencils come in boxes of 12 and cost $1.69 per box.
Eric was given $19 to buy index cards at an office supply store. Index cards are sold in packs of 150 cards and cost $2.99 per pack.
Jane buys as many boxes of pencils as she can afford. Eric buys as many packages of index cards as he can afford. How many complete bags of supplies can they make?
Answer:
They can make 30 Bags total.
Step-by-step explanation:
Jane has $17. There are 12 pencils in each pack for $1.60.
Jane can bay 10 packs of 12 pencils for $16.9 or else she will go over the amount of money she has.
1.69 x 10 = 16.9
Eric has $19. There are 150 cards in one pack for $2.99.
Eric can bay 6 packs of 150 cards for $17.94 or he ill go over the amount of money he has.
2.99 x 6 = 17.94
Eric.
150^6 = 900
900/30 = 30
Jane.
12^10 = 120
120/2 = 60
60/2 = 30
Together.
30 cards can go into 30 bags, and 2 pencils can go into 30 bags
A carpenter makes $24/hour and works a 40 hour week. The employer withholds $83 federa
tax, $74 FICA, and $41 state tax. The carpenter's take-home pay is
Answer:
762
Step-by-step explanation:
Since he makes 24 dollars a hour and he worked for a total of 40 hours that'll equal to 960 and when you subtract all the taxes away from his payment it'll equal to 762
The net income of the carpenter will be $762.
What is net income?
The amount paid by any company or industry to the employees after deductions of the several taxes is the net income.
Given that:-
A carpenter makes $24/hour and works a 40 hour week.The deductions are $83 federal tax, $74 FICA, and $41 state tax.So the net income of the carpenter will be calculated as:-
Gross pay will be = 24 x 40 = $960
Net income = 960 - ( 83 + 74 + 41 ) = $762
Hence the net income of the carpenter will be $762.
To know more about net income follow'
https://brainly.com/question/25623677
#SPJ2
Help me please I beg if you can
Answer: The mean is 3780
Step-by-step explanation:
Mean is found by adding all values and dividing the sum by how many values were added.
4250+4019+3895+3739+3401+3376=22680
22680/6=3780
What is the measure of QS?
Check the picture below.
On many cell phones with GPS, an approximate location can be given before the GPS signal is received. This is done by a process called triangulation, which works by using the distance from two known points. Suppose there are two cell phone towers within range of you, located 6000 feet apart along a straight highway that runs east to west, and you know you are north of the highway. Based on the signal delay, it can be determined you are 5050 feet from the first tower, and 2420 feet from the second. Determine the angle, , between your line of sight to the first tower and the highway to the nearest tenth of a degree. (A calculator is needed for this question)
Answer:
it is A?? I'm not sure but Stan nct.....
1.Spooky has a favourite number. It is a 2 digit number. The total of the digits is 10. It is an even number It is less than 30. What is it? .........
Answer:
10
Step-by-step explanation:
Even numbers less than 30 are:
2,4,6,8,10,12,14,16,18,20,22,24,26,28
We know it has two digits so we can cross out:
2,4,6,8
We are left with the last piece of information being that it's total is 10 - none of the remaining numbers add up / total to 10 therefore Spooky's favourite number is 10 !
Write the ratio statement as a fraction and reduce to lowest te
20 pounds to 45 ounces
Answer:
5/9
Step-by-step explanation:
fraction: 20/45
lcd of 25 and 45 is 5
25 ÷ 5 = 5
45 ÷ 5 = 9
therefore; 5/9
Cereal is on sale this week. Is it a better buy to get the 10-ounce box for $1.86 or the 14-ounce box for $2.61?
A. 10-oz. box
B. 14-oz. box
Answer:
b 14oz .box
Step-by-step explanation:
10 oz cost 1.86
1 oz is .19 cents
14 oz cost 2.61
1 oz is .19 cents
so the for one oz is .19 cents for both of them
so chose 14 oz for 2.61 because it gives you more cereal for the same price per oz
-
3/1
213
- 3)
-
Simplify the expression
properties of operations used.
Cite the
5
(please help if you can and thank you so much!) hurry
Answer:
7/10 or 0.7
Step-by-step explanation:
-3/2 (1/3 - 4/5)
(-3/2) (1/3 + -4/5)
(-3/2)(1/3) + (-3/2)(-4/5)
-1/2 + 6/5
7/10
I think this PDF should assist you in the property of operations for fractions and also help you in solving future problems.
PLS HELP
Jen traveled from Boston to Cape Cod at 60 mph. On her way back, the
traffic was bad and her return trip took 3 times as long. What was Jen's
average speed on the round trip?
Answer: 30 mph
Step-by-step explanation: As we know: the formula for Average Speed (AS) is Average Speed = Total Distance ÷ Total Time.
Since we don't know exactly how far Jen needed to drive, our distance there will be 1, and since we don't know how long it took to get there, we will put 1 as well.
Now we have to state the distance and time to get back. The distance will stay the same so we keep it 1. Now it is stated that when returning, it took Jen 3 times slower to get back, so we do 1 × 3 (because it took her longer) and get 3.
Next, we substitute: AS=TD÷TT ⇒ AS= (1+1) ÷ (1+3) = 2 ÷ 4= 1/2 or 1.4
Since our given beginning speed was 60mph, we need to multiply by 1/2 to get the final answer:
1/2 x 60 = 30
So ya, this is the answer *100% correct, checked on another website*