Answer:
[tex]2sec^2xtanx[/tex]
Step-by-step explanation:
[tex]\frac{d}{dx} tan^2x[/tex]
[tex]\frac{d}{dx} tanxtanx[/tex]
[tex](\frac{d}{dx}tanx)(tanx)+(tanx)(\frac{d}{dx}tanx)[/tex]
[tex]\frac{d}{dx}tanx=\frac{d}{dx}\frac{sinx}{cosx}=\frac{(cosx)(cosx)-(sinx)(-sinx)}{(cosx)^2}=\frac{cos^2x+sin^2x}{cos^2x}=\frac{1}{cos^2x}=sec^2x[/tex]
[tex](sec^2x)(tanx)+(tanx)(sec^2x)[/tex]
[tex]2sec^2xtanx[/tex]
Helpful tips:
Product Rule: [tex]\frac{d}{dx}f(x)g(x)=f'(x)g(x)+f(x)g'(x)=\frac{d}{dx}f(x)*g(x)+f(x)*\frac{d}{dx}g(x)[/tex]
Quotient Rule: [tex]\frac{d}{dx}\frac{f(x)}{g(x)}=\frac{g(x)f'(x)-f(x)g'(x)}{(g(x))^2}=\frac{g(x)\frac{d}{dx}f(x)-f(x)\frac{d}{dx}g(x)}{(g(x))^2}[/tex]
Pythagorean Identity: [tex]cos^2x+sin^2x=1[/tex]
Please see all the screenshots. I have included multiply problems in this one question.
Answer:
so basacilly the answer to all of the question is a
Step-by-step explanation: you welcome!
Which is the solution to the inequality?
Y+ 15 < 3
A. y <-12
B. y >-12
C. y <18
D. y> 18
Answer: A
Step-by-step explanation:
Subtract 12 from both sides:
y + 15 - 15 < 3 - 15
Simplify:
y < -12
If 9 : x = x:4, then x = _____. 36 18 24 6
Solution: 9:x = x:4
⇛9/x = x/4
By doing cross multiplication, we get
⇛9(4) = x(x)
⇛36 = x²
⇛x² = 36
⇛x = √(36)
⇛x = √(6*6)
∴ x = 6 Ans.
also read similar questions: Which equations have the same value of x as 2/3(6x+12)=-24? Check all that apply.1. 4x+8=24 2. 9x+18=-24 3. 4x+12=-24 4. 18x+36/2=-24 5. 4x=-36 6. 4x=-32 7. x=-... https://brainly.com/question/6702722?referrer
If 9 : x = x:4, then x = 6
The function h(t) = -16t2 + vt + 10 gives the height of a platform diver above the water, in teet, t seconds
after the diver leaves the platform with an initial velocity, w, in feet per second,
ABC has vertices A(-3,2). B(3,2), and C(0, – 3). Is ABC scalene, isosceles, or equilateral?
Is ABC scalene, isosceles, or equilateral?
Answer:
isoselses!
Step-by-step explanation:
i hope that helps
How long will it take $5500 to grow to $7400 at an interest rate of 5% it the interest is compounded continuouslyRound the number of years to the
nearest hundredth
see score
Answer:
5.93 years
Step-by-step explanation:
The continuous compounding formula tells you the amount after t years will be ...
A = Pe^(rt) . . . . principal P compounded continuously at annual rate r for t years
7400 = 5500e^(0.05t)
ln(7400/5500) = 0.05t . . . . divide by 5500, take natural logs
t = 20×ln(74/55) ≈ 5.93
It will take about 5.93 years for $5500 to grow to $7400.
Marcus sleeps 60 hours a week this is 5 times as many hours as he plays chess. How many hours a week does Marcus play chess?
Answer: 12 hours a week
Step-by-step explanation:
60/5 = 12
Since he plays chess 5 times the amount of time he sleeps, simply divide the amount of time he sleeps by 5.
Correct me if I am incorrect.
What is the slope of the line graphed on the coordinate plane?
A graph with a line running through coordinates (-6, -1) and coordinates (6, 2)
Answer:
1/4
Step-by-step explanation:
use the slope formula, (y2-y1)/(x2-x1) , or rise over run.
this would give you 2-(-1) divided by 6-(-6)
giving you 3/12, reducing to 1/4
PLEASE HELP ME NOW!!! I WILL MARK U AS BRAINLIEST
[tex]\huge \bf •Answer •\\ [/tex]
1188 g
[tex]\huge \bf •Solution •\\ [/tex]
We know,
[tex]\sf \dfrac{mass \: \: of \: \: solute}{mass \: \: of \: \: solution} \times 100= concentration \: \: of \: \: solution \\ = > \sf \dfrac{mass \: \: of \: \: solute}{mass \: \: of \: \: solute + mass \: \: of \: \: solvent} \times 100= concentration \: \: of \: \: solution[/tex]
Given, concentration of solution = 1%
Mass of sugar (solute) = 12 g
Let the mass of water (solvent) be x.
Therefore,
[tex]\sf \dfrac{12g}{12g + x} \times 100= 1 \\ \sf = > 1200g= 12g + x \\ \sf= > (1200 - 12)g = x \\ \sf = > x = 1188g[/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
what is the value of x (100 points)
The value of x in the given triangle is 25
Missing sides of right triangle
The triangle shown is a right triangle.
Each side of the triangle can be found by using the Pythagora's theorem
The Pythagora's theorem states that the "square of the hypotenuse equals the sum of the squares of the other two sides"
Applying the Pythagora's theorem:
[tex]x^2=24^2+7^2\\\\x^2=576+49\\\\x^2=625\\\\x=\sqrt{625}\\\\ x=25[/tex]
Learn more on missing sides of right triangle here: https://brainly.com/question/23987176
23+4⋅2−7
the 23 is 2 to the third power.
Answer:
12618
Step-by-step explanation:
23x23x23=12617
4•2=8
12617+8=12625
12625-7=12618
Answer: 9
Step-by-step explanation:
The correct answer to [tex]2^{3} + 4[/tex] ⋅ [tex]2 - 7 = 9[/tex]
I hope that helps :)
Monroe uses a microscope observe specimens in science class. The Microscope enlarges objects to 100 times their actual size. Find the size of each specimen as seen in the microscope. Monroe Teacher wants each student to draw a sketch of the longest specimen? Seen through the microscope, a specimen is 0.75 cm long. What is it actual length?
Answer:
0.0075 centimeters long
Step-by-step explanation:
An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
L x 100 = 0.75 cm
The actual length of the specimen = L
The actual length of the specimen is 0.0075 cm
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Seen through the microscope, a specimen is 0.75 cm long.
The Microscope enlarges objects to 100 times their actual size.
This means,
Let the actual length of the specimen = L
Now,
L x 100 = 0.75 cm
The actual length of the specimen.
L x 100 = 0.75 cm
L = 0.75 / 100
L = 75/10000
L = 0.0075 cm
Thus,
The actual length of the specimen is 0.0075 cm
Learn more about expressions here:
https://brainly.com/question/3118662
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Find the values of the variables.
Answer:
x = 50
y = 65
Step-by-step explanation:
The marked sides show you that the triangle is isosceles. That means the base angles, y° and 65°, are congruent.
y = 65
__
The sum of the angles in a triangle is 180°.
65° +65° +x° = 180°
x° = 180° -130° = 50° . . . . . . subtract 130°
x = 50
What is the missing divisor?
34,000 ? = 340
Answer:
34,000 ÷ 1000 =340
Step-by-step explanation:
Answer:
100, If you decide 34000 by 340 you can easily see it needs to be devided by 100 to get the answer
Write an equation in point-slope form for the line that passes through the given points (1,-3),(4,-15)
Answer: b=7
Step-by-step explanation:
Pardon me I don't mean to pry I saw the tears falling from your eyes and I thought you're too pretty to not wear a smile hope you don't mind if I sit down for while
NAME THE SONG AND THE SINGER 50 POINTS!!!!!!!!!!
Answer: Jon Pardi - Tequila Little Time
Step-by-step explanation:
I don't even know what this song is, but I searched it up.
One pint of milk is about 560 ml. Rosa has 3.5 pints of milk. How many litres of milk does rosa have?
Help pls
Which choice shows (50+30)+40 correctly written using associative property and then correctly simplified
Answer:
The first option as you do what is in parentheses first.
Step-by-step explanation:
8g-f g=-1 f=4 Please show work I have no clue how to do it
find the perimeter of the triangle A(4,-2) B(9,-2) C(9,10)
Answer:
30 units
Step-by-step explanation:
A graph can help you see the lengths of the sides. This is a right triangle, so the length of the hypotenuse is found using the Pythagorean theorem:
5² +12² = b² = 169
b = √169 = 13
The perimeter is 5+12+13 = 30 units.
Pls help I’ll brainlest
Answer:
Step-by-step explanation:
Mistakes: The student did not distribute the 3 into 2, and the student did not distribute the 6 into negative 2. The student also left out the negative 2x in the first half of the equation.
Help help help help math math
A video store offers two yearly pricing plans: A. $10.00 charge plus $2.50 for each movie rented. B. $4.00 charge (total) for the first 4 movies rented plus $3.00 per movie. How many movies will a person need to rent in order to spend an equal amount of money using either plan?
Answer:
36
Step-by-step explanation:
The cost of renting n movies using Plan A is ...
c = 10 +2.50n
The cost of renting n movies using Plan B is ...
c = 4 +3(n -4) . . . . for n ≥ 4
The two costs are equal when ...
4 +3(n -4) = 10 +2.50n
0.50n = 18 . . . . . . . . . . add 8 -2.50n and simplify
n = 36 . . . . . . . . . . multiply by 2
A person would have to rent 36 movies to spend the same using either plan.
The height of a house is 21 feet tall. A tree beside the house is 7 feet more than twice as tall as the house. What is the height of the tree?
Answer:
49 feet
Step-by-step explanation:
twice the size of the house is 42ft and seven feet more than 42 feet is 49 feet.
What is the product of 3.4 × 10−14 and 1.8 × 1028? (5 points)
Answer:
1874.4
Step-by-step explanation:
First multiply 3.4 and 10
34
Then subtract 14 from 34
24
Then multiply 1.8 by 1028
1850.4
Lastly add 1850.4 and 24
1874.4
Answer:
7.987
Step-by-step explanation:
Just use your head man
Use the distributive property to simplify this expression -2x(3x + x-5)
Answer:
− 8 x ^2 + 10 x
Step-by-step explanation:
Negative five times a number decreased by ten is negative twenty five
What is the equation
A small boat leaves a port town and travels due north for 7.4 miles and then turns due east for 3.6 miles
and stops. If the boat's captain then turns back to town. a) how far does the boat travel and b) along
what bearing would the boat have to travel from its stopped position?
11 miles far does the boat travel
Step-by-step explanation:
hope it helps
The total distance travelled will be 22 miles and the bearing will be 60.89° .
It is given that a boat travels from port town to north for 7.4 miles and then east for 3.6 miles and stops at destination.
We have to find out the total distance travelled and bearing from stopped position.
What are bearings ?
A bearing is the angle in degrees measured clockwise from north i.e., 30° from north.
As per the question ;
Boat travels from port town to north for 7.4 miles and then east for 3.6 miles and it then stops at destination.
So ;
a)
Total distance travelled from port town to destination is ;
= 7.4 miles + 3.6 miles
= 11 miles
And
If boat's captain turns back to town , then total distance will be ;
= 11 + 11
= 22 miles
b)
We know that ;
cos θ = B/H
The bearing would be ;
cos θ = [tex]\frac{3.6}{7.4}[/tex]
cos θ = 0.486
θ = [tex]cos^{-1}[/tex] (0.486)
θ = 60.89°
Thus , the total distance travelled will be 22 miles and the bearing will be 60.89° .
To learn more about bearings click here ;
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A hiker maintains an average speed of 3 3/4 km/h. How many kilometers will the hiker walk in 5 hours
Answer:
3 3/4 km = 1 hr
_______. ____
x 5
5 (3 3/4) = 18.75 km
Answer:
Explanation:
18.75 km
-57 = 16 + 5m
What does m=
Answer:
m = -14.6Step-by-step explanation:
Given Question:To find the value of mGiven Equation:-57 = 16 + 5mSolution:=> -57 = 16 + 5m
=> 16 + 5m = -57
(On subtracting -16 from both sides)=> 16 + 5m - 16 = -57 - 16
(On Simplification)=> 5m = - 73
(On dividing both sides with 5)[tex] = > \frac{5m}{5} = \frac{ - 73}{5} [/tex]
(On Simplification)=> m = -14.6
Hence, required value of m = -14.6 (Ans)
Answer:
_14.6
Step-by-step explanation:
-57 = 16 + 5m
-57 - 16 = 5m
-73 = 5m
÷5] - 14.6 = m
Nb.... M = - 14.6