Answer:
-1
Step-by-step explanation:
The expression evaluates to the indeterminate form -∞/∞, so L'Hopital's rule is appropriately applied. We assume this is the common log.
d(log(x))/dx = 1/(x·ln(10))
d(log(cot(x)))/dx = 1/(cot(x)·ln(10)·(-csc²(x)) = -1/(sin(x)·cos(x)·ln(10))
Then the ratio of these derivatives is ...
lim = -sin(x)cos(x)·ln(10)/(x·ln(10)) = -sin(x)cos(x)/x
__
At x=0, this has the indeterminate form 0/0, so L'Hopital's rule can be applied again.
d(-sin(x)cos(x))/dx = -cos(2x)
dx/dx = 1
so the limit is ...
lim = -cos(2x)/1
lim = -1 when evaluated at x=0.
_____
I find it useful to use a graphing calculator to give an estimate of the limit of an indeterminate form.
The athletic department raised $14,533 to buy new football uniforms if each uniform costs $258 how many uniforms can they buy
Answer:
56 uniformsStep-by-step explanation:
Available amount = $14533Cost of each uniform = $258Number of uniforms can be bought:
14533/258 = 56 (rounded down)Amount to be spent:
56*258 = 14448Remaining amount:
14533 - 14448 = 85How many solutions does this equation have. 3x + 99 = 3 (x + 33)
Answer:
Infinitely many solutions
Step-by-step explanation:
3x + 99 = 3 (x+33)
distribute 3 to x and 33
3 * x = 3x
3 * 33 = 99
3x + 99 = 3x + 99
If the expressions on both sides of the equal sign are the same, then solving for them would result in 0 = 0 meaning that the equation has infinitely many solutions
Mr. Smith charged Jill $320 for parts and $150 per hour for labor to repair her bicycle. If he spent 3 hours repairing her bike, how much does Jill owe him? Write an expression and show your work and answer.
Answer:A repair bill for a car is $648.45. The parts cost $265.95. The labor cost is $85 per hour.
Step-by-step explanation:
had this question
What is the quotient?
126 divided by 7
A. 18
B.16
C. 19
D. 17
Answer:
A
Step-by-step explanation:
I know that 20 times 7 is 140 and if I take away 2 sevens that leaves 126. So 126 \div 7 = 18
Answer:
A. 18
Step-by-step explanation:
I took a photo of my work I didn't know how I could type that here
Tell me if I'm wrong :)
Could somebody help n explain pls thx
Answer:
lines are perpendicular
Step-by-step explanation:
• Parallel lines have equal slopes
• The product of the slopes of perpendicular lines = - 1
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange the given equations into this form and extract the slope
3x - 2y = - 6 ( subtract 3x from both sides )
- 2y = - 3x - 6 ( divide through by - 2 )
y = [tex]\frac{3}{2}[/tex] x + 3 ← in slope- intercept form
with slope m = [tex]\frac{3}{2}[/tex]
----------------------------------
4x + 6y = 2 ( subtract 4x from both sides )
6y = - 4x + 2 ( divide through by 6 )
y = - [tex]\frac{4}{6}[/tex] x + [tex]\frac{2}{6}[/tex] , that is
y = - [tex]\frac{2}{3}[/tex] x + [tex]\frac{1}{3}[/tex] ← in slope- intercept form
with slope m = - [tex]\frac{2}{3}[/tex]
--------------------------------------
[tex]\frac{3}{2}[/tex] ≠ - [tex]\frac{2}{3}[/tex] , then lines are not parallel
[tex]\frac{3}{2}[/tex] × - [tex]\frac{2}{3}[/tex] = - 1
Thus the lines are perpendicular to each other
Help! I give brainlest. Problem is in Image
Answer:
65
Step-by-step explanation:
let's place 9 in place of p and 4 in place of q. I will use a star in place of that symbol for the sake of my convenience having to look for it, apologies.
[tex]9 \star 4 = 9^2-4^2 = 81-16 = 65[/tex]
Answer:
65
Step-by-step explanation:
9^2-4^2=65
One evening, 2/3 of Mrs. Thorne’s students watched a reality television show. Of Mrs. Lombardo’s students, 4/5 watched the same reality show: Which teacher has more students watch the reality show?
Answer:
They both had the same amount of students watch the reality show.
Step-by-step explanation:
To find the number of students who watched the reality show in each teacher's class, just multiply the fraction by the total number of students per teacher.
For Mrs. Thorne's:
36 * (2/3) = 24 students
For Mrs. Lombardo's:
30 * (4/5) = 24 students
24 = 24 so they had an equal amount of students from each class watch the reality show.
Billy and Michael have 2 lemonade stands. Billy charges $2 per lemonade plus a flat rate of $2.
Michael charges $3 per lemonade plus a flat rate of $1.
How many lemonades would they have to sell to be making the same amount of money?
What is the value of y when the value of x is 1?
if the value of x is 1 then the y value is 6
The hanger image below represents a balanced equation.
27
V
Find the value of v that makes the equation true.
U =
I need the answer
Answer:
2x =3
The hanger image given in the figure represents balanced equation.
Then we have to write an equation to represent the image.
In balanced form left side = right side
x + x = 1 + 1 + 1
2x = 3
The value v is 9.
What is equation?An equation is a mathematical statement that shows that two mathematical expressions are equal.
Given that is a structure showing a balanced hanger we need to find the value,
So we can say since the hanger is balanced therefore the weight both sides will be equal,
Therefore,
v + v + v = 27
3v = 27
v = 27
Hence the value v is 9.
Learn more about equation click;
https://brainly.com/question/29657983
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find the value of x and y
from geometry
urgently
Can someone help me with question 8 please this is due tomorrow
Answer:
New eq: 11x + 1. The line will become steeper.
Step-by-step explanation:
Slope is rise over run. In the original equation, y increased 4 times everytime x increased by one. In the new equation, y increased 11 times everytime x increased by one making it steeper.
find the area of the parallelogram with the given information:
Answer:
There is a area of triangle and there is two trapezium so 8×17=136
whats is 8:55 after 25 minutes
a man earned £80.60 for an eight-hour day. how much would he earn at the same rate for a 38-hour week
Answer:
382.85
Step-by-step explanation:
hours. amount
8. 80.60
38. ??
=382.85
What is the solution to the system of equations?
y = 2x + 3
y = -x +8
Answer:
x= 5/3
Step-by-step explanation:
You would set the equations equal to each other, so 2x + 3 = -x + 8. Then, you would add the x to the 2x making it 3x. That makes your equation 3x + 3 = 8. Then you subtract the 3 making the equation 3x = 5 and then you would divide the 3 making your answer 5/3.
The diagram shows a triangle ABC.
B
Not drawn accurately
12.5 cm
A
4.6 cm
Work out the area of the triangle.
Give your answer to 1 decimal place.
please help and show working
Answer:
A ≈ 5.8 cm²
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )
Here b = 4.6 and h = 2.5 , then
A = [tex]\frac{1}{2}[/tex] × 4.6 × 2.5 = 2.3 × 2.5 ≈ 5.8 cm² ( to 1 dec. place )
Answer:
Step-by-step explanation:
State the reaction type and then balance equation __Na3PO4+___HCI=__H3PO4+__NaCl
Balanced reaction:
[tex]\text{Na}_3 \text{PO}_4 + 3\text{HCl} \longrightarrow \text{H}_3 \text{PO}_4 + 3\text{NaCl}[/tex]
The reaction type is double replacement.
evaluate the function h(x) = |-2x|-9 for the given values of x a) h(4)=. b) h(-5)=. c) h(0) =
Answer:
h(4) = -1 ; h(-5) = 1 h(0) = -9
Step-by-step explanation:
a) h(x) = |-2x| - 9 Substitute x = 4
h(4) = | -2 · 4| - 9
h(x) = | -8| - 9
h(4) = 8 - 9
h(4) = -1
b) h(x) = |-2x| - 9 Substitute x = -5
h(-5) = |-2 · -5| - 9
h(-5) = |-10| - 9
h(-5) = 10 - 9
h(-5) = 1
c) h(x) = |-2x| - 9 Substitute x = 0
h(0) = |-2 · 0| - 9
h(0) = |0| - 9
h(0) = 0 - 9
h(0) = -9
expand and simplify
(x +3)(x+5)
Answer:
x² + 8x + 15
Step-by-step explanation:
(x +3)(x+5)
=> x² + 5x + 3x + 15
=> x² + 8x + 15
So, after simplifying, we can conclude that x² + 8x + 15 is our answer. Hoped this helped.
which of the following numbers closest to 6? 34, 37, 38, 33.
the length of 2/3 a rope is (4u-5) inches Express the total length of the rope in terms of u
Answer:
6u - 15/2 inches
Step-by-step explanation:
(2/3)rope = 4u - 5
multiply both sides by 3/2
rope = 6u - 15/2
I need help pls help me
Answer:
$1,270
Step-by-step explanation:
let x be the total amount of ice cream sold without tax
x + (x*0.0635)=21270
1.0635x=21270
x=20,000
so the amount he needs to send to state is
21270-20000
1,270
Total cost of icecream without cost be x
[tex]\\ \sf\longmapsto x+0.0635x=21270[/tex]
[tex]\\ \sf\longmapsto 1.0635x=21270[/tex]
[tex]\\ \sf\longmapsto x=21270/1.0635=20000[/tex]
Amount to be paid
[tex]\\ \sf\longmapsto 21270-20000=1270[/tex]
hihi pls help with geometry:)
Answers:
problem 6) x = 5problem 7) x = 5problem 8) x = 4problem 9) x = 6================================================
Explanation:
The angles with the similar arc markers are congruent angles. This is only when we consider any particular triangle isolated from the others.
Since we have 2 congruent angles, the triangles are considered isosceles. The congruent sides are opposite the congruent angles.
So we'll set the congruent side expressions equal to one another and solve for x. We ignore the side that isn't opposite one of the congruent angles. This applies to all four problems.
---------------------------
Work Shown for Problem 6:
3x = x+10
3x-x = 10
2x = 10
x = 10/2
x = 5
---------------------------
Work Shown for Problem 7:
x = 10-x
x+x = 10
2x = 10
x = 10/2
x = 5
---------------------------
Work Shown for Problem 8:
4x-12 = x
4x-x = 12
3x = 12
x = 12/3
x = 4
---------------------------
Work Shown for Problem 9:
2(x+3) = 18
2x+6 = 18
2x = 18-6
2x = 12
x = 12/2
x = 6
Or you can solve it like this
2(x+3) = 18
x+3 = 18/2
x+3 = 9
x = 9-3
x = 6
hi! can someone please help me with these i’m confused on how to answer it
Answer:
Step-by-step explanation:
ANSWER CORRECT FOR BRAINLIEST
Answer:
3 2 /5 ×3
change 3 2 /5 into an improper fraction
then you will get 17 /5
after that you say 17/5 ×3/1
=(17×3)/ (5x1)
=51/5 (51÷5)
=10.2/ 10 1/5
[tex]3 \frac{2}{5} \times 3 \\ = \frac{17}{5} \times 3 \\ = \frac{51}{5} \\ = 10 \frac{1}{5} [/tex]
Answer:[tex]10 \frac{1}{5} [/tex]
Hope it helps.
Do comment if you have any query.
what is the formula for surface area of a pyramid?
what is the forumla for surface area of a square
for pysamid is ph+B2
hope it helps
how many kilograms of pure water is to be added to 100 kilograms of a 30% saline solution to make it a 10% saline solution
Answer:
200 kg
Step-by-step explanation:
If w is the amount of water added, then the concentration of the solution is ...
salt/solute = 100(0.30)/(100 +w) = 0.10
30 = 10 +0.10w . . . . . simplify
20 = 0.10w . . . . . . . . subtract 10
20/0.10 = w = 200 . . . . divide by 0.10
200 kg of water must be added to dilute the solution to 10%.
my bibi’sister need a answer she don't know the answer, she need your help
13. 12008.
14. 59286.
15. 21459.
16. 80478.
17. 130567.
18. 11100.
19. Seventy-two thousand, one hundred eighty.
20. Eighty thousand, seven hundred eighty-six.
Hope This Helps...:)
3. Kyle and Michael a rup a lap around a track. Kyle gets a 50 a meter head start and runs 3 meters
per
second. Michael runs at a speed of 4 meters per second. How long will it take for Michael
to reach Kyle?
Answer:
50 second
Step-by-step explanation:
let the distance between Michael and kyle (s)
s= 50 m
we want to know how long it takes for Michael(speed 4 m/s ) to reach kyle(3m/s)
v = s/t
t = s/v
Vm = speed of Micheal
Vk = speed of kyle
v = ( Vm - Vk )
t = 50/(4-3) = 50 second