Answer:
[tex]\lim_{x \to 0} sin^2(x)tan(x) = 0[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightPre-Calculus
TrigonometryUnit CircleCalculus
LimitsStep-by-step explanation:
Step 1: Define
[tex]\lim_{x \to 0} (sinx)^2tanx[/tex]
Step 2: Solve
Rewrite [Sine Trig]: [tex]\lim_{x \to 0} sin^2(x)tan(x)[/tex]Evaluate limit [Substitute in x: [tex]\lim_{x \to 0} sin^2(x)tan(x) = sin^2(0)tan(0)[/tex]Evaluate trig: [tex]\lim_{x \to 0} sin^2(x)tan(x) = 0 \cdot 0[/tex]Multiply: [tex]\lim_{x \to 0} sin^2(x)tan(x) = 0[/tex]Topic: AP Calculus AB/BC (Calculus I/II)
Unit: Limits
Book: College Calculus 10e
Can you also explain how you got the answer
Answer:
I recoment using the formula because its different ways its taught
Step-by-step explanation:
maybe look up different formula's
Answer:
The answer is D
Step-by-step explanation:
The y values are going up by 2
For linear equations you follow y = mx + b
M = 2
B would be 1 since that is what y is when x is 0
So it must be D
Math HW please help!
Answer:
B) 4
Step-by-step explanation:
(x-1+2)^2=(x-1)^2+(2x-4)^2
(x+1)^2=(x-1)^2+(2x-4)^2
x^2+2x+1=x^2-x+1+4x^2-16x+16
0= 4x^2-18x+17-2x-1
4x^2-20x+16=0/4
x^2-5x+4=0
(x-4)(x-1)=0
x-4=0
x=4
hope it helps..
have a great day!!
If the 12-sided solid is rolled 180 times, how many times would you expect either number a 3, 9 or 11 to be rolled?
The probability that the 12-sided solid gets 3 , 9 or 11 is P ( A ) = 1/4 and the expected number of times is n = 45
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the probability that the the 12-sided solid gets 3 , 9 or 11 be P ( A )
Now , the value of P ( A ) is
Let the number of outcomes when rolling a 12-sided solid = 12
The number of times the solid is rolled = 180 times
So , the total number of outcomes = 12 x 180 = 2160
And , the probability of getting a 3 = 1/12
The probability of getting a 9 = 1/12
The probability of getting a 11 = 1/12
So , the total probability of getting a 3 , 9 or 11 = 3/12 = 1/4
The total expected number of times = 45
Hence , the probability is 1/6
To learn more about probability click :
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Hello, just need the answer for this question. Thank you for your help if you do so.
Answer:
In the first one you are missing (x - 3) so it will be 4(x - 3) and if you factor it out it will be 4x - 12
In the second one you are missing a (x -5)which means 9x(x -5) or when you factor it out it will be 9x^2 - 45x
Step-by-step explanation:
3x^2 -23x + 40 = (3x - 8) (x - 5)
3x^2 -17x + 24 = (3x -8) ( x - 3)
her after-school community service
project. She ordered 6 pizzas. If
30 students attend the event and each
gets an equal amount of pizza, how
much pizza will each student receive?
Answer:
5
Step-by-step explanation:
What is the range of the graph
Answer: b
Step-by-step explanation:
The range is the set of y-values of the function.
giving out brainliest answer !!!! help me out asap please !!!!
9514 1404 393
Answer:
45.6°
Step-by-step explanation:
The attached result was found by typing "arccos(7/10) in degrees" into a web browser search box.
Your calculator can give you the same result. The inverse cosine function often shares a key with the cosine function. It is often marked as cos⁻¹. Be sure that the angle mode is set to degrees, not radians.
PLEASE HELP AND NO LINKS OR YOU WILL BE REPORTED
I need help with this please, I keep getting the wrong answer every time please help me, I keep getting B) 5 which is wrong please help me
Answer:
The differnce is 3 and 1/2 as 9/2 - 1 = 3 and 1/2 according to the points plotted above the diagram meaning 5 and 0 are excluded values which do not have any place within the diagram.
Step-by-step explanation:
I really need help on this please.
3x+4y=36 y=-0.5x+8 substitution
Answer:
Step-by-step explanation:
3x+4(-0.5x+8)=36
3x-2x+32=36
X=36-32
X=4
help please ! need it asap and
(round answer to nearest tenth) pls
Answer: v=85/11
Step-by-step explanation: Cross multiply to get 11v=85, divide both sides by 11, and you get v=85/11.
Hope that this helped! Have a great day!!
In triangle NOP p equals 600 inches angle P equals 96° and angle N equals 64° what is the area of triangle NOP to the nearest 10th of a square inch?
9514 1404 393
Answer:
55,637.8 square inches
Step-by-step explanation:
We can find side n using the Law of Sines:
n/sin(N) = p/sin(P)
n = p(sin(N)/sin(P)) = 600·sin(64°)/sin(96°)
n ≈ 542.246913 . . . . inches
The angle O is ...
O = 180° -N -P = 180° -64° -96° = 20°
Then the area is ...
A = 1/2·np·sin(O)
A = (1/2)(542.246913 in)(600 in)·sin(20°) ≈ 55,637.81008 in²
The area of ∆NOP is about 55,637.8 in².
Answer:Area
≈
55637.81
≈
55637.8
Area≈55637.81≈55637.8
Step-by-step explanation:
What is the a-value of the quadratic
expression?
5x2 + 13x + 6
sally had 21 marbles her friendgave her some more.she then had 35 marbles. write an expression that shows how many marbles she had.
Answer:
21 + x = 35
x = 14
Hope this helps :)
HELP ME PLZZ ASAP WILL MARK BRAINLIST
Answer:
Option 2
Step-by-step explanation:
The problem given is saying this for example 24 ÷ (2+4)
The problem you picked would be saying (2+4) ÷ 24
Option 2 is saying 24 ÷ (4+2)
Nothing is changing except the order of the numbers in the parantheses, no matter which way you put them it's still the same answer
A different factory produces red pens and green pens, of the pens produced at the factory each week, 3/4 are red. I’m a week when 39,000 red pens are produced, the factory manager uses this equation 3/4y = 39,000. What does the variable y represent in the managers equation
Answer:
y is the total the pens produced at the factory each week
Step-by-step explanation:
total pens produced at the factory each week = y (=52,000)
3/4 of the total are red ( 39,000)
2cos² 34° - 1 expressed as a single trigonometric ratio? (With explanation of steps please)
Answer:
Cos 68
Step-by-step explanation:
Given the expression 2cos² 34° - 1, we are to expression as a single trig ratio.
Let the angle be theta
Recall that sin²theta + cos²theta = 1
sin²theta = 1 - cos²theta ... 1
also Cos 2theta = Cos²theta - sin²theta ... 2
Substitute 1 into 2
Cos 2theta = Cos²theta - (1-cos²theta)
Cos 2theta = Cos²theta - 1 + cos²theta
Cos 2theta = 2Cos²theta - 1
Replace theta with 34
Cos 2(34)= 2Cos²(34)- 1
Cos 68 = 2Cos²(34)- 1
Hence the single trig expression is Cos 68
Find the area (in square feet) of a trapezoid
Answer:
Solution Given :
apothegm [a]=9in
perimeter [p]=13.1×5=65.5in
given
A=1/2 aP=1/2×9×65.5=294.75in²
Tom bought a banner for
his bedroom that measures 2
feet by 1 1/2 feet. What is
the area of the banner
Answer:
3 feet
Step-by-step explanation:
The area of banner is 3 because A = l * w. So 2 * 1 1/2. Is 3 feet. Make sure to include the ft. Unit.
One day a store sold 25 sweatshirts. White ones cost $9.95 and yellow ones cost $12.50. In all, $297.20 worth of sweatshirts were sold. How many of each color
were sold?
Answer:you will end up with 350.00 dollars left
Step-by-step explanation: you are spending money on the thing that you are buying
X square/3 - x/3 -44
Answer:
[tex]\frac{x^2}{3} - \frac{x}{3} - 44 =\frac{(x -12)(x+ 11)}{3}[/tex]
Step-by-step explanation:
Given
[tex]\frac{x^2}{3} - \frac{x}{3} - 44[/tex]
Required
Solve
Take LCM
[tex]\frac{x^2 - x - 132}{3}[/tex]
Expand
[tex]\frac{x^2 +11 x -12x- 132}{3}[/tex]
Factorize:
[tex]\frac{x(x+11) -12(x+ 11)}{3}[/tex]
[tex]\frac{(x -12)(x+ 11)}{3}[/tex]
Hence:
[tex]\frac{x^2}{3} - \frac{x}{3} - 44 =\frac{(x -12)(x+ 11)}{3}[/tex]
HELP I HAVE 3 minutes left
Answer:
The answer is C
Step-by-step explanation:
it
is
the
answer
C
Gisella has 4 pints of chicken broth. She uses 5 cups of the broth to make soup.
How much chicken broth is left?
Enter your answer in the box.
cups
Answer:
3 cups or 1.5 pints
Find the measurements of the numbered angles in each isosceles trapezoid.
Answer:
∠1 = 67°
∠2 = 67°
∠3 = 113°
Step-by-step explanation:
∠3 = 113°
∠1 = ∠2
∠1 + ∠2 + ∠3 + 113° = 360°
∠1 = (360 - 113 - 113)/2 = 67°
x = 1 + root 2 , find the value of (x - 1/x )^3
Answer:
[tex](\sqrt{2})^3[/tex]
Step-by-step explanation:
Given the expression
[tex](x - \frac{1}{x} )^3[/tex]
Simplify
[tex](\frac{x^2-x}{x} )^3[/tex]
Given that x = 1+√2
Substitute
[tex](\frac{(1+\sqrt{2} )^2-(1+\sqrt{2} )}{1+\sqrt{2} } )^3\\=( \frac{1+2\sqrt{2} +2 - 1 - \sqrt{2}}{1+\sqrt{2}} )^3\\= (\frac{\sqrt{2}+2}{1+\sqrt{2}})^3 \\Rationalize\\= (\frac{\sqrt{2}-2+2-2\sqrt{2}}{1-2})^3 \\=( \frac{-\sqrt{2}}{-1})^3 \\= (\sqrt{2})^3\\ \\[/tex]
If Theta is an angle in standard position and its terminal side passes through the point
(-8,9), find the exact value of tan theta in simplest radical form.
Answer: - 9/8
Step-by-step explanation:
PLEASE I Can’t figure this out.
Write the slope-intercept form of the line that travels through (4,-1) and is parallel to y = 1/4x
Answer:
y = 1/4x - 2
Step-by-step explanation:
If two lines are parallel to each other, they have the same slope.
The first line is y = 1/4x. Its slope is 1/4. A line parallel to this one will also have a slope of 1/4.
Plug this value (1/4) into your standard point-slope equation of y = mx + b.
y = 1/4x + b
To find b, we want to plug in a value that we know is on this line: in this case, it is (4, -1). Plug in the x and y values into the x and y of the standard equation.
-1 = 1/4(4) + b
To find b, multiply the slope and the input of x (4)
-1 = 1 + b
Now, subtract 1 from both sides to isolate b.
-2 = b
Plug this into your standard equation.
y = 1/4x - 2
This equation is parallel to your given equation (y = 1/4x) and contains point (4, -1)
Hope this helps!
Solve for X. Leave answer in simplified radical form.
Answer:
X=5times (root2)/2
Step-by-step explanation:
Sin45=x/5
x=5sin45
x=5 times root2/2
Solve all four questions and I’ll give BRAINLIEST!!!!!
Plz help due today..
Answer:
4)120
5)13
6)70
7)115
Step-by-step explanation:
Answer: 4. 120 degrees 5. 13 degrees 6. 70 degrees 7. 115 degrees
PNC bank is offering 2.5% simple interest when you open a savings account. Josh put $5,000 in a savings account for 5 years. How much money will be in his account at the end of the 5 years?
Answer:
CAN I ASWER THIS
Step-by-step explanation:
OKAY THANKS
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The points plotted below are on the graph of a polynomial. In what range of
x-values must the polynomial have a root? Check all that apply.
Answer:
the answer is 0 to 1 and 3 to 4