Answer:
[tex]f(x) = {sec}^{ - 1} x \\ let \: y = {sec}^{ - 1} x \rightarrow \: x = sec \: y\\ \frac{dx}{dx} = \frac{d(sec \: y)}{dx} \\ 1 = \frac{d(sec \: y)}{dx} \times \frac{dy}{dy} \\ 1 = \frac{d(sec \: y)}{dy} \times \frac{dy}{dx} \\1 = tan \: y.sec \: y. \frac{dy}{dx} \\ \frac{dy}{dx} = \frac{1}{tan \: y.sec \: y} \\ \frac{dy}{dx} = \frac{1}{ \sqrt{( {sec}^{2} \: y - 1}) .sec \: y} \\ \frac{dy}{dx} = \frac{1}{ |x | \sqrt{ {x }^{2} - 1} } \\ \therefore \frac{d( {sec}^{ - 1}x) }{dx} = \frac{1}{ |x | \sqrt{ {x }^{2} - 1} } \\ \frac{d( {sec}^{ - 1}5x) }{dx} = \frac{1}{ |5x | \sqrt{25 {x }^{2} - 1} }\\\\y=arccos(\frac{1}{x})\Rightarrow cosy=\frac{1}{x}\\x=secy\Rightarrow y=arcsecx\\\therefore \frac{d( {sec}^{ - 1}x) }{dx} = \frac{1}{ |x | \sqrt{ {x }^{2} - 1} }[/tex]
Greatest common factor of 76 and 675
How many bagels can u make in 18 hours
Answer:
4 but i'm bad at cooking cause i'm 15 so
Step-by-step explanation:
During a special ops mission a helicopter traveled eastward at 75 m/s against
westward blowing wind moving at a speed of 8 m/s. What would most likely
happen if the wind speed increased to 17 m/s? *
Helicopter
75 m/s
Wind
Answer:
the helicopter would go up and backwards
36. Is 12 a divisor of 48?
Answer:
yes
Step-by-step explanation:
a divisor is a number that you use to divide another one. 48 divided by 12 is 4. Therefore, 12 is a divisor of 48
A charter fishing company buys a new boat for $224,000 and assumes that it will have a trade-in value of $115,200 after 16 years.
a. Find a linear model for the depreciated value V of the boat t years
after it was purchased.
b. What is the depreciated value of the boat after 10 years?
c. When will the depreciated value fall below $100,000?
d. Graph V for 0 ≤ t ≤ 30 and illustrate the answers from (b) and
(c) on the graph.
First, according to the information, we build a linear model, and then, the model is used to find the information asked.
a) The linear model is:
[tex]V(t) = 224000 - 6800t[/tex]
b) The depreciated value of the boat after 10 years is of $156,000.
c) The depreciated value falls below $100,000 after 18.24 years.
d) The sketch is given at the end of the answer.
Item a:
The initial value is of $224,000, thus, the y-intercept of the linear function is of [tex]b = 224000[/tex].The value decayed to $115,200 in 16 years, thus, the slope of the linear function is:[tex]m = \frac{115200 - 224000}{16} = -6800[/tex]
Then, the linear model is:
[tex]V(t) = 224000 - 6800t[/tex]
Item b:
The value after 10 years is V(10), so:
[tex]V(10) = 224000 - 6800(10) = 156000[/tex]
Then, the depreciated value of the boat after 10 years is of $156,000.
Item c:
This is t for which: V(t) = 100000. So
[tex]V(t) = 224000 - 6800t[/tex]
[tex]100000 = 224000 - 6800t[/tex]
[tex]6800t = 224000 - 100000[/tex]
[tex]6800t = 124000[/tex]
[tex]t = \frac{124000}{6800}[/tex]
[tex]t = 18.24[/tex]
The depreciated value falls below $100,000 after 18.24 years.
Item d:
The sketch is appended at the end of this answer.
A similar problem is given at https://brainly.com/question/24978772
Check all solutions to the equation. If there are no solutions, check "None."
&x=0
Someone please help ASAP!!
Answer:
I think 0 is the only one that works here.
Step-by-step explanation:
Answer:
the only option is 0
Step-by-step explanation:
What is the sum of 1 and 2?
Answer:
3
Step-by-step explanation:
[tex]1 + 2 = 3[/tex]
answer= 3
Finally, suppose you decide not to finance (get a loan for) the car and to
wait two years to save up money in addition to the $4,000 you already
have saved for the car.
How much money would you have to save each month in order to
purchase this car without any financing (loan) at the end of two years?
Round your answer to the nearest cent.
Supposing a cost of $30,000, and using proportions, it is found that you would have to save $1,083.30 each month.
--------------------------
We suppose a cost of $30,000.You already have $4,000 saved.30 - 4 = 26, thus, you would need to save $26,000 in 2 years = 24 months.How much per month?We can solve it using proportions, by the following rule of three:
1 month - $x
24 months - $26,000
Applying cross multiplication:
[tex]24x = 26000[/tex]
[tex]x = \frac{26000}{24}[/tex]
[tex]x = 1083.3[/tex]
You would have to save $1,083.30 each month.
A similar problem is given at https://brainly.com/question/24112433
Mariel and Liu are running a long-distance race. Mariel runs at a rate of 5.4 m/s, and Liu runs at a rate of 7.6 m/s. If Mariel has a 20 m head start, how long will it take for Liu to catch Mariel?
We have that, how long it will take for Liu to catch Mariel is mathematically given as
t=3.076s
From the question we are told
Mariel and Liu are running a long-distance race. Mariel runs at a rate of 5.4 m/s, and Liu runs at a rate of 7.6 m/s. If Mariel has a 20 m head start, how long will it take for Liu to catch Mariel?
Generally the equation for the Average speed is mathematically given as
[tex]v_a=\frac{5.4+7.6}{2}\\\\V_a=6.5m/s[/tex]
Therefore
How long it will take for Liu to catch Mariel is mathematically given as
[tex]t=\frac{20}{6.5}[/tex]
t=3.076s
For more information on this visit
https://brainly.com/question/23379286
Which is f(–3) for the quadratic function graphed?
–9
–3
0
9
Answer:
-9
Step-by-step explanation:
The answer is -9 since it is seeking for the point at x=-3.
In a survey that James conducted of the students in his school, he determined that 3 out of 8 students chose basketball as their favorite sport. How many students choose basketball as their favorite sport if James surveys 240 students?
Answer:
90 students
Step-by-step explanation:
Let u be 1 unit.
8u = 240
u = 240÷8
= 30
3u = 30×3
= 90
What is the value of x? show all your work
Answer:
x or AB = 9
Step-by-step explanation:
Use Pythagorean Theorem to solve for missing side.
Pythagorean Theorem: a² + b² = c²
Plug our sides in to get AB² + BC² = AC²
We are solving for AB so we arrange the equation to get:
AB² = AC² - BC²
Solve for AB:
AB² = (√117)² - (6)²
AB² = 81
AB = 9
x or AB = 9
what is 7/9 divided by 1/3?
Answer:
7/3 or 21/9 or 2.3 repeated
Step-by-step explanation:
Answer: 7/3
Step-by-step explanation
[tex]\frac{7}{9}/\frac{1}{3} = \frac{7}{9}*\frac{3}{1}= 21/9=7/3[/tex]
Keep change flip. Keep 7/9 change multiply to divide flip 1/3 to 3.
Brihana kayllie works in a chocolate factory. She gets 8.75 per hour. how much money does she earn in 8 hours? 40 hours? Show your work in the box provided.
Answer:
Briana would get $70 in 8 hours and $350 in 40 hours.
Step-by-step explanation:
Multiply 8.75 by 8 to get $70
Multiply 8.75 by 40 to get $350
Hope this helps!!
Answer:
70$ in 8 hours and 350$ in 40 hours
Step-by-step explanation:
8.75 + 0.25 = 9 X 8 = 72 - 2 = 70
0.25 X 8 = 2
8.75 + 0.25 = 9 X 40 = 360 - 10 = 350
0.25 X 40 = 10
page. 1.06 lb of lettuce for 2.05 what does lettuce cost per pound rounded to the nearest cent no links please just answer the question
Answer:
I don't think anyone understands the question
Answer:
$1.93 per poundStep-by-step explanation:
Use ratios to solve:
1.06 lb → $2.05 1 lb → xx = 2.05/1.06 = $1.93 per pound
z – yx + x; use x = 2, y=-3, and z=4
Step-by-step explanation:
z-yx+x
4-(-3•2) +2
4-(-6)+2
4+6+2
12
Answer:
12
Step-by-step explanation:
4-(-3)•2+2
4+3•2+2
4+6+2
10+2
12
Jim paid $48 to buy a package of 6 flea treatments for his dog. How much does one treatment cost
If Jim paid $48 to buy a package of 6 flea treatments for his dog. Then cost of one treatment is $6.
What is Division?A division is a process of splitting a specific amount into equal parts.
Given,
Jim paid $48 to buy a package of 6 flea treatments for his dog
We need to find what is the cost a per treatment.
We have to divide split forty eight by six to find the cost of each treatment.
Forty eight divided by six
$48/6
When we divide by six we will get six.
$6
Hence if Jim paid $48 to buy a package of 6 flea treatments for his dog. Then cost of one treatment is $6.
To learn more on Division click:
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$SPJ2
-4(7 + 4x) = 42 - 6x
Step-by-step explanation:
You use the formula BODMAS and then you simply the brackets first
(7+4x)=11x
And then you group using like terms which is
-4 - 42 +11x - 6x and then you get ur answer
write an equation in slope intercept form for the line with slope -1/5 and y intercept 8. then graph the line
Answer:
y = -1/5x + 8
Step-by-step explanation:
Worth 35 points and Ill give brainliest to corrects answer Please help!
1. Which statement best represents how structure relates to function?
A. The average dog can learn approximately
B. Oppsable thumbs in humans and certain other animales for fine control of gripled objects.
C. Fruit flies live for only 40 to 50 days. D. Robins build nests in trees.
2. who is studying a newly discovered animal, a scientist observes that the animal chance to have one or two Offspring at a time only once or twice per year.
Which type of life history does this animale use?
A. R-Strategy
B. K-Strategy
C. Logistic growth
D. Asexual reproduction
Answer:
The
Answer
for
1
might
be
B
and
answer
for
number
2
is
c
I
think
AAA help I need to do this for schoosleldkdk
Answer:
[tex] \frac{1}{8} [/tex]
Step-by-step explanation:
The total amount of cards is 8, and the stack have 4 even numbers, so the probability is
4/8 Simplify it and
1/2
Now, there are just 6 cars bigger than 6, so:
2/8. Simplify it
1/4
Now you have to multiply the two values:
1/2×1/4 = 1/8
Find the average rate of change of f(x)=4x^2-6 on interval [1,a]
9514 1404 393
Answer:
4a +4
Step-by-step explanation:
The average rate of change of f(x) on the interval is ...
(f(a) -f(1))/(a -1)
= ((4a² -6) -(4(1)² -6))/(a -1) = (4a² -4)/(a -1)
= 4(a² -1)/(a -1) = 4(a +1) = 4a +4
The average rate of change on the interval is 4a +4.
Find the measure of the third angle in each of the following triangles. The triangles are not drawn to scale.
a.
A triangle has two of its angles labeled 60 degrees and 60 degrees.
b.
A right triangle has the angle between the hypotenuse and one of the legs labeled 30 degrees.
a. The measure of the missing angle is
nothing. (Simplify your answer.)
b. The measure of the missing angle is
nothing. (Simplify your answer.)
Answer:
A. 60 degrees
B. 60 degrees
Step-by-step explanation:
(a)
60 degrees +60 degrees + missing angle = 180 degrees
(angle sum property of triangle)
missing angle = 180 - 120 = 60 degrees
(b)
90 degrees + 30 degrees =120 degrees +missing angle = 180 degrees
missing angle = 60 degrees
Ausgtin has 1/4 as many cards as mateo. mateo has 1/2 as many cards of amaro. who has the most cards
Answer:D
Step-by-step explanation:
Amaro would have the most.
Find the unit rates (pages per day) for Deon and Emily. Who read faster?
Deon: 36 pages in 3 days. StartFraction 36 pages Over 3 days EndFraction = Question mark pages per day. Emily: 45 pages in 5 days. StartFraction 45 pages Over 5 days EndFraction = question mark pages per day.
Answer:
Deon
Step-by-step explanation:
Deon-12 ppd
Emily-9 ppd
Deon reads more pages per day
Answer:
Deon read 3 more pages per day than Emily.
what is the square root of ten
Answer:
3.16227766017 is the answer
Answer: 3.16227766017
Step-by-step explanation:
Or you could round and get 3.2 or 3.16
find the center and radius of the circle whos equation is (x+5)^2+(y-3)^2=9
9514 1404 393
Answer:
center (-5, 3)
radius 3
Step-by-step explanation:
Compare the given equation to the standard form equation of a circle:
(x -h)² +(y -k)² = r² . . . . . . circle with center (h, k) and radius r
This shows us that ...
-h = +5 ⇒ h = -5
-k = -3 ⇒ k = 3
r² = 9 ⇒ r = √9 = 3
Then the circle center is (h, k) = (-5, 3), and the radius is r = 3.
PLEASE HELP ITS MATH THANK YOU
Answer:
he needs 91 packets of seeds
Step-by-step explanation:
5214 divided by 66 gets 79 and then do 7189 divided by 79 to get 91
-8/7 + (-2/3)
HELPP Mee
Step-by-step explanation:
-(38/21)
that is the answer
Answer:
-38/21, or 1 17/21
Step-by-step explanation:
To add, we need to change the denominators to be the same. The least common denominator is 21. -8/7 is equal -24/21, and -2/3 is equal to -14/21. If we add these we get -38/21, or 1 17/21.
Vivi steps off a 10-foot-high diving board and goes 7 3/8 feet below the surface of the swimming pool, then back up to the surface. How far does she travel altogether
Answer:
Your answer is 24 3/4 if you want it decimal wise it would be 24.75
Step-by-step explanation:
Well, let's set up our equation first. 10 (she jumped down 10 feet) + 2(7 3/8) (we are multiplying this by 2 because she first went under the surface then went back up to the surface)
Since distance is never negative you won't add any negative symbols, you'll simply add. First 2(7 3/8) = 59/4 or 14 3/4 | Next we add 10 to it 14+10 = 24 3/4
Your answer is 24 3/4 if you want it decimal wise it would be 24.75