Answer:
x+1
Step-by-step explanation:
x * 2 -3 - x + 4 =
2x - 3 - x + 4
x - 3+4 = x+1
: Discuss the continuity of the function f(x)=xtanh(1/x) at x = 0 given that x≠0 and f(0)=0.
Answer:
Step-by-step explanation:
Given that:
[tex]f(x) = x tan ( \dfrac{1}{x})[/tex]
For continuity; [tex]\lim \limits_{x \to 0^-} f(x) = \lim \limits_{x \to 0^+} f(x) = f(0)[/tex]
Now;
[tex]\lim \limits_{x \to 0^-} f(x) = \lim \limits_{x \to 0^-} xtan (\dfrac{1}{x})[/tex]
[tex]= \lim \limits_{x \to 0^-} \dfrac{tan (\dfrac{1}{x})}{\dfrac{1}{x}}[/tex]
[tex]= \lim \limits_{x \to 0^-} \dfrac{tan (\dfrac{1}{0})}{\dfrac{1}{0}}[/tex]
[tex]= \dfrac{\infty}{\infty} \to intermediate \ form[/tex]
Using L'Hospital Rule
[tex]\lim \limits _{x \to 0^-} [ x \ tan (\dfrac{1}{x})] = \lim \limits _{x \to 0^-} \dfrac{\dfrac{d}{dx} \ tan \dfrac{1}{x} }{\dfrac{d}{dx} \dfrac{1}{x} }[/tex]
[tex]= \lim \limits _{x \to 0^-} \dfrac{sec^{1} (\dfrac{1}{x}) * \dfrac{-1}{x^2} }{\dfrac{-1}{x^2} }[/tex]
[tex]= \lim \limits _{x \to 0^-} sec^{1} (\dfrac{1}{x})[/tex]
[tex]= sec^1(\dfrac{1}{0})[/tex]
[tex]=sec^1 (\infty) \to[/tex] not defined
∴
[tex]\lim \limits _{x \to 0^- }[x \ tan (\dfrac{1}{x})] \ne 0 = f(0)[/tex]
Hence, f(x) is not continuous.
Pls help I really need a good grade on this
Answer:
[tex]y=78[/tex]
Step-by-step explanation:
[tex]\frac{y}{13}-2=4[/tex]
[tex]\frac{y}{13}-2+2=4+2[/tex] (Add [tex]2[/tex] to both sides to isolate [tex]y[/tex])
[tex]\frac{y}{13}=6[/tex] (Simplify)
[tex]\frac{y}{13}*13=6*13[/tex] (Multiply both sides of the equation by [tex]13[/tex] to get rid of the denominator)
[tex]y=78[/tex] (Simplify)
Hope this helps!
A man who is 6 feet tall is flying a kite. The kite string is 75 feet long. If the angle that the kite string makes with the line horizontal to the ground is 35º, how far above the ground is the kite?
Answer:
49.02 ft
Step-by-step explanation:
See the attached picture for a diagram.
Since the angle is 35 degrees and the only side length we know is the 75 ft long length of the kite (which is the hypotenuse), you would use sin(35) = x/75 where x is the side opposite of the 35 degree angle. Solve for x by doing sin(35) * 75, which equals 43.01823... Make sure you add 6ft from the height of the man. This would make the kite's total height above the ground 49.01823... Round according to the directions you've been given.
Hence , kite flies 49.01 above the ground is the kite
What is angle of elevation?The angle of elevation is a widely used topic in trigonometry that deals with height and distance. It is defined as the angle formed by the horizontal plane and the oblique line connecting the observer's eye to an object above him. This angle is eventually generated above the surface. The angle of elevation is made in such a way that it is above the observer's eye, as the name implies.
How to solve?Given angle of elevation is 35degrees
hypotenuse=75 and perpendicular=x
Hence [tex]sin 35^{0}[/tex]=[tex]\frac{x}{75}[/tex]
[tex]sin 35^{0}*75[/tex]=x
49.01=x
Hence , kite flies 49.01 above the ground is the kite
Learn more about elevation https://brainly.com/question/88158
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a cone has a height of 12cm and a radius of 9 cm what is the volume of the cone
Answer : V≈1017.88cm³
- know the formula:
V = πr^2h/3
- plug in
V = π(9^2)(12/3)
V = π(81)(4)
V = 324π
A gardener spread 6 3/4 bags of mulch evenly over her 3 equal-sized vegetable beds. How
much mulch did she put on each vegetable bed?
Answer:
2 1/4 and ignore this ima write random stuff sksnsjwjdnd
9.
Ms. Abbott's 6th grade class has 18 students with brown eyes and 15 students with blue eyes. Ms. Downey's 6th grade class has 12 students with brown eyes and 10 students with blue eyes. What is the ratio of the students with brown eyes to the total number of 6th grade students?
a.
3/5
c.
6/11
b.
11/6
d.
5/3
Answer:
6/11
Step-by-step explanation:
A bag contains pennies and nickels. You are given the number of pennies in the bag
and the ratio of pennies to nickels. Find the number of nickels in the bag.
18 pennies: 6 to 1
3.0
A
D
B
1.8
Find the area of AABC
Awnser:
explain:
hope that helps
Which word is more descriptive- parallelogram or rhombus
Answer:
Rhombus
Step-by-step explanation: Brainlest plz?
Answer:
rhombus
Step-by-step explanation:
not every parallelogram qualifies to be a rhombus, but every rhombus is a parallelogram, since a rhombus is defined as a parallelogram with an extra feature: all four sides are congruent. the term "rhombus" has more demands and therefore is more descriptive.
Use the Distributive Property to solve the equation.
4(x - 6) + 6 = 6x-2
Answer:
x = -8
Step-by-step explanation:
(4 · x) - (4 · 6) + 6 = 6x - 2
4x - 24 + 6 = 6x - 2
4x - 18 = 6x - 2
Isolate x.
4x = 6x - 2 + 18
4x = 6x + 16
4x - 6x = 16
-2x = 16
x = 16 ÷ -2
x = -8
I hope this helps! :)
Answer:
-8 =x
Step-by-step explanation:
4(x - 6) + 6 = 6x-2
Distribute the 4
4x - 24 +6 = 6x-2
Combine like terms
4x - 18 = 6x-2
Subtract 4x from each side
4x-18-4x = 6x-2-4x
-18 = 2x-2
Add 2 to each side
-18+2 = 2x-2+2
-16 = 2x
Divide each side by 2
-16/2 =2x/2
-8 =x
(3x + 5y +1) + (5x + y-2)=?
Answer:
8x+6y+(-1)
Step-by-step explanation:
3x+5x=8x 5y+y=6y 1-2=(-1) Add it all together
What’s the answer of 7 1/2 divided by 3/4
Answer:
the answer is 10
Step-by-step explanation:
7 1/2 x 4/3=10
Answer:
5.625
Step-by-step explanation:
The function y=1000 + 125x can be used to determine the total cost in
dollars for lawyer fees of x hours. What is the rate of the total cost in
dollars with respect the number of hours? *
Answer:
Add y+x and maby that's u answer
Step-by-step explanation:
40% of what number is 60
Answer:
24
Step-by-step explanation:
Lets make this simple, divide it by 10 then mulitiply by 4 and there you go
Answer:
150
Step-by-step explanation:
Ben and Alyssa play a game in which they earn the same number of points for each goal and lose the same number of points for each penalty. Ben makes 7 goals and 2 penalties, ending the game with 21 points. Alyssa earns 10 goals and 8 penalties and ends the game with -6 points. How much does a penalty cost and how much does a goal give?
Answer:
Each goal gives 5 points and a penalty costs 7 points.
Step-by-step explanation:
Let a penalty cost = x points
And a goal gives = y points
Ben makes 7 goals and 2 penalties ending the game with 21 points,
7y - 2x = 21 --------(1)
Alyssa makes 10 goals and 8 penalties ending the game with (-6) points,
10y - 8x = -6
5y - 4x = -3 --------(2)
Equation (1) multiplied by 2, then subtracted from equation (2),
(5y - 4x) - 2(7y - 2x) = -3 - 2(21)
5y - 4x - 14y + 4x = -3 - 42
-9y = -45
y = 5
From equation (1)
7(5) - 2x = 21
35 - 2x = 21
2x = 35 - 21
2x = 14
x = 7
Therefore, each goal gives 5 points and a penalty costs 7 points.
A person walks 2/3 of mile in 10 minutes. Show how to use the double number line strategy to answer the following
a) how far will the person walk in 30 minutes?
b) How far will it take the person to walk 1 mile?
Answer:
10
Step-by-step explanation:
What type of table has the largest area
Answer:
The Rectangular Table Has The largest area of 1460 in^2
What is 4 divided by 1/8
Answer:
32
Step-by-step explanation:
4/(1/8)
бу (2+1) + 1y=
I need help
Answer:
19y
Step-by-step explanation:
hope this helps! have a great day/night :)
Answer:
19y
Step-by-step explanation:
6y (2+1) + 1y
6y (3) + 1y
18y + 1y
19y
Kayla invests $500 in a local business. She later gets paid 110% of what she originally invested. How much money was she paid? How much money did she make?
Answer:
She was paid $550 and made a profit of $50.
Step-by-step explanation:
Given that:
Amount invested by Kayla = $500
Amount returned = 110%
Amount returned = [tex]\frac{110}{100}*500[/tex]
Amount returned = 1.1 * 500
Amount returned = $550
Profit made by Kayla = 550 - 500
Profit made by Kayla = $50
Hence,
She was paid $550 and made a profit of $50.
I need help please.
Answer:
Picture is blurry
Step-by-step explanation:
Answer:
C. The ranges of g(x) and f(x) are the same, and their domains are also same
Step-by-step explanation:
Y=-16x^2+9x+4.
Is the function linear or nonlinear?
which round to ten 9.943, 9.501, 9.234, 9.612
Answer:
9.943, 9612, and 9501
Step-by-step explanation:
anything 5 and above u round higher anything 4 and below round down
Express 0.62727272 as a fraction
Answer:
[tex]\displaystyle \frac{69}{110}[/tex]
Step-by-step explanation:
Decimal to Fraction Conversion
We have the number
N=0.62727272...
Multiplying by 10:
10N=6.272727
Multiplying by 100:
1000N=627.2727
Subtracting the last two equations, the periodic part cancels out:
1000N - 10N = 627 - 6
Operating:
990N = 621
Dividing by 9:
110N = 69
Dividing by 110:
[tex]\displaystyle N=\frac{69}{110}[/tex]
What's the answer quick someone pls
Answer:
y=x
Step-by-step explanation:
What is the answer Wendy bought for folders in for notebooks the place of the boulders $2.50 the notebook cost four dollars right to equivalent expressions to find the total cost
Answer:
2.50 x 4 + 4²
or
2.50 x 4 + 4 x 4
and
$26
Step-by-step explanation:
So first we have to find how much the folders and notebooks were by themselves so our first equation is:
2.50 x 4 = 10
and
4 x 4 = 16
and then we add the costs
10 + 16 = 26
So Wendy spent $26 on folders and notebooks
d. 30+8[6^2- (2^2+5)] simplify?
Answer:
30+8[6^2- (2^2+5)]
30+8(36-(4+5))
30+8(36-9)
30+8 x 27
20+216
246
Step-by-step explanation:
evaluate 2^2 and 6^2 first
add (4+5)
then calculate (36-9)
then multiply (8 x 27)
then add (30+216)
solved
:)
hope this helped
Ren was trying to solve a system of linear eq2uations he correctly awrgued that he could replace one equation by the sum of that equation and mutipile of the others he stated would produce a syste4m that has the same solution as the orginal system
Answer:
yessirkyyyyyyyyyyyy
Step-by-step explanation:
the answer has the same solution, has the same solution, and does not have the same solution
The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (
Answer:
The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the Earth to rotate around their respective axes? (The Earth takes 24 hours to rotate around its own axis and the moon takes 27 days. What is the ratio of the time taken by the moon to the time taken by the
Pls help with math ASAP
I think that the answer is d.
Answer:
correct answer is D
Step-by-step explanation:
-4-(-7)= -4+7= 3
so 3 is 7 steps to the right of -4 on the number line
hope it helps! please mark me brainliest
thank you! have a good day ahead
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