Answer:
0
Step-by-step explanation:
To solve this without L'Hopital's rule, you need to use this identity:
lim(x→0) (sin x / x) = 1
lim(x→0) (sin²x / x)
lim(x→0) (sin x / x) (sin x)
lim(x→0) (sin x / x) · lim(x→0) (sin x)
1 · 0
0
Alternatively, since plugging in x=0 gets 0/0, we can use L'Hopital's rule. Replace the numerator and denominator with their derivatives.
lim(x→0) (sin²x / x)
lim(x→0) (2 sin x cos x / 1)
0
Solve the equation for h and r. x= r-h/y
[tex]r \times x = \frac{r - h}{y} \\ [/tex]
Multiply sides by y
[tex]r \times x \times y = r - h[/tex]
Subtract sides minus r
[tex]r \times x \times y - r = - h[/tex]
Multiply sides by -1
[tex] - r.x.y + r = h[/tex]
Factoring r
[tex]h = r(1 - x.y)[/tex]
_________________________________
And we're done.
Thanks for watching buddy good luck.
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what is the solution to the equation 4(x+1) = 8? solve using distributive property
Answer:
4(1+1)=8
Step-by-step explanation:
x=1
whats 9+10
word to my mutha
Answer:
21 is the correct answer
Which of the following numbers can be expressed as repeating decimals? (5 points) 3 over 7 , 2 over 5 , 3 over 4 , 2 over 9
Answer:
3/7 and 2/9 are repeating decimals.
Step-by-step explanation:
Find the constant. quickly please!
Answer:
Assuming you are asking for the slope which is 3 or in the equation format y=3x
Step-by-step explanation:
you must find the distance in the y- values and the x values, how each value increases or decreases. You may have heard of the phrase rise/run. To get to the pint (2,6) from (1,3), you must rise 3 units and move 1 unit. If you were to follow the rise/run method, you will need to divide the two numbers. In this case you will be dividing 3/1 which equals you. Then you must plug that number into the formula (y=mx+b).
Select all that apply.
Which of the following name an angle in the drawing?
Answer:
ECB and CDE
Step-by-step explanation:
the others arent the same
Given the function f(x) = 4x evaluate
f(-2)
Answer:
the answer =-8
Step-by-step explanation:
you subsitute -2 for x so its 4(-2) which is -8
Answer:
Given value x=-2, just substitute it to [tex]4^{x}[/tex]
= [tex]4^{-2}[/tex] (this uses the property [tex]a^{-m}=\frac{1}{a^{m} }[/tex])
= This results in:
[tex]\frac{1}{4^{2} } = \frac{1}{16 }[/tex]
Plz answer fast I am timed
Hello.
Ken had 6.57 yards of tape, and then used 0.5 yards of the tape. Subtract 0.5 from 6.57.
6.57 - 0.5 = 6.07
He has 6.07 of the tape left.
Find the measure of angle b
Answer: Around 90 degrees. Atleast 87 or so.
Step-by-step explanation:
Acute angles are 90 degrees, so I estimated it would be a little less then that, for the other angle measures 128 as it says on your picture.
Stay safe! I’m sorry if it didn’t help you much.
Three changes that have happened to the environment
Answer:glaciers melting, ozone layer getting thinner, 2.5 million trees being burned to the ground.
Step-by-step explanation:
f(x)= -x + 6x² - 10x +4
Solve the following quadratic equation:
the following quadratic equation: 2x2 - 52 + 2 = 0
Answer:
x₁ = -5, x₂ = 5Step-by-step explanation:
[tex]2x^2 - 52 + 2 = 0\\\\2x^2-50=0\\\\x^2-25=0\\\\x^2=25\\\\x=5\qquad\vee\quad\ x=-5[/tex]
___ student(s) for every 8 computers.
45 students for every __ computer(s).
Answer:
_18__ student(s) for every 8 computers.
45 students for every _20_ computer(s).
Step-by-step explanation:
18 students for every 8 computers 45 students for every 20 computersSolve 3x – X + 2 = 12. (1 point)
100
-2x+5(x-2)>7x-6 graph on a number line
OK............................
In the point-slope form of a line, y-y1 = m(x-x1) , the slope is represented by ..? the x-coordinate of a point is represented by..? and the y-coordinate of the point is represented by..?
Answer:
y, m(x)
Step-by-step explanation:
minus them to get this
Which of the following is a line that is
perpendicular to y
2 and passes
through the point (-2,4)?
y - 4= 1/3 (x + 2)
y - 4= -3(x+2)
y - 4= -3(x - 2)
y - 4= 3(x + 2)
Answer:
y - 4= -3(x - 2)
I'm 101% sure
Solve the equation x2 + + 7x= 30
O A. x= 15 and x= -2
0 B x=-6 and x = 5
0 C x= -10 and x= 3
O D. x= 10 and x= -3
Answer:
x^2+7x=30
x^2+7x-30=0
Here a=1,b=7 and c=-30
Now,
Discriminant(D)=b^2-4ac
=7^2-4×1×(-30)
=49+120=169
By applying Quadratic formula
x=-b+- root over b^2-4ac÷2a
=-7+- root over D ÷ 2×1
=-7 +- root over 169 ÷2
=-7 +- 13 ÷2
Now,
Either x=-7+13÷2=6÷2=3
Or x=-7 -13 ÷2=-20÷2=-10
Hence, ans is (C) x=-10 and x=3
A building has the shape of a pyramid with a square base. The midsegment parallel to the ground of each triangular face of
the pyramid has a length of 58 feet. The perimeter of the base of the pyramid is
feet.
Answer:
The length of the base the pyramid is 116 feet.
Step-by-step explanation:
See the diagram attached to this answer.
Let Δ OAB is the side triangle of the square pyramid, and A'B' is the mid segment parallel to the ground with length of 58 feet.
Now, Δ OAB and Δ OA'B' are similar triangle and the length of sides of the triangle Δ OA'B' are in the same ratio with the corresponding sides of Δ OAB.
Hence,
⇒ AB = 2 × 58 = 116 feet.
The length of the base the pyramid is 116 feet. (Answer)
Please can someone help!
Answer:
Charles: 17 points
Adam: 25 points
Bethany: 30 points
Answer:
Adam scored 25 points.
Bethany scored 30 points.
Charles scored 17 points.
Step-by-step explanation:
A = Adam, B = Bethany, C = Charles
What we know:
C + 8 = A
A + 5 = B
A + B + C = 72
Charles:
C + 8 + 5 = B
C + (C + 8) + (C + 13) = 72
72 - 8 - 13 = 51
51/3 = 17
Charles scored 17 points.
Bethany:
17 + 13 = 30
Bethany scored 30 points.
Adam:
17 + 8 = 25
Adam scored 25 points.
If a track is 400 meters around, how many laps around the track would it take to run 3.1 miles round to the nearest tenth
Answer:
Step-by-step explanation:
12.5
Number of laps in given distance is 12.5 laps.
Given:
Length of a track = 400 meter
Total distance = 3.1 miles
Find:
Number of laps in given distance
Computation:
We know that
1 miles = 1609.34 meter
So,
Total distance = 3.1 miles
Total distance = 3.1 × 1609.34
Total distance = 4988.954
Number of laps in given distance = 4988.954 / 400
Number of laps in given distance = 12.4723
Number of laps in given distance = 12.5 laps (Approx.)
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Samuel needs 254 feet of wood to build a fence. The wood comes in lengths of 11 feet. How many total pieces of wood will Samuel need?Theresa needs twice as many feet of wood as samuel. How many pieces of wood does theresa need?
Answer:
Sam needs 24 pieces, he will have about 91/100 of a piece of wood left.
Theresa needs 47 pieces, she will have about 82/100 of a piece of wood left.
Step-by-step explanation:
254/11=23.09
254*2=508
508/11=46.18
The value of y varies directly with x. When y= 2 4/7, x= 37 .
What is the value of y when x is 27 ?
1 5/7
2 3/7
3 1/7
3 4/7
Answer:
Option (a).
Step-by-step explanation:
The value of y varies directly with x. It would mean that,
y=kx, where k is constant
When
[tex]y=2\dfrac{4}{7},x=\dfrac{3}{7}\\\\y=\dfrac{18}{7}, x = \dfrac{3}{7}[/tex]
then,
[tex]\dfrac{18}{7}=k\times \dfrac{3}{7}\\\\k=6[/tex]
When x = 27,
[tex]y=6\times \dfrac{2}{7}\\\\y=\dfrac{12}{7}\\\\\text{or}\\\\y=1\dfrac{5}{7}[/tex]
So, the value of y is [tex]1\dfrac{5}{7}[/tex] when x is 27.
|x-1=-3
Solve for x.
Answer:
x-1=3
x=3+1
x=4
What is the percentage of males given that they prefer butter pecan?
Answer:
67 percent wouldnt it?
The table below represents a function.
x y
0 1
2 5
5 26
7 50
Which equation makes the table true?
f( x) = 2 x + 1
f( x) = x 2 + 1
f( x) = x 2 - 1
f( x) = 2 x - 1
Answer:
f( x) = x ^2 + 1
The equation f( x) = x² + 1 makes the table true.
What is equation?Two or more expressions with an equal sign is called as equation.
The given table is
x y
0 1
2 5
5 26
7 50
The table value satisfy with the function f( x) = x² + 1=y
if x=0, then y=f(0)=0² + 1=1
if x=2, then y=f(2)=2² + 1=4+1=5
if x=5, then y=f(5)=5² + 1=25+1=26
if x=7, then y=f(7)=7² + 1=49+1=50
Therefore f(x)=x² + 1 is the equation of table.
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Write the following equation in standard form.
y=5x+9
Answer:
5x-y=-9
Step-by-step explanation:
Question in the picture
Which of these sets of angle measures could be the three angles in a triangle?
O 60' 70'. 80°
O 70.80.90
O 50°, 60° 70°
O 40, 50, 60°
plz help ASAP matswatch
Answer:
Step-by-step explanation:
