Evaluating the limand directly at x = 0 yields the indeterminate form 0/0. If L'Hopital's rule is known to you, you can compute the limit by applying it twice:
[tex]\displaystyle\lim_{x\to0}\frac{x\left(e^{3x}-1\right)}{2-2\cos(x)} = \lim_{x\to0}\frac{3xe^{3x}+e^{3x}-1}{2\sin(x)} \\\\\\ = \lim_{x\to0}\frac{9xe^{3x}+6e^{3x}}{2\cos(x)} = \frac62=\boxed{3}[/tex]
Write the sum of three odd consecutive integers if the last one is m-2
Answer:
the sum is 3m-12
Step-by-step explanation:
The nunbers are:
[tex]m-2\\m-4\\m-6\\the~sum~is:\\sum=(m-2)+(m-4)+(m-6)\\sum=m-2+m-4+m-6=m+m+m-2-4-6\\sum=3m-12[/tex]
The sum of three odd consecutive integers is 3m - 12
What are odd integers?"These are the integers which are not divisible by 2."
For given question,
We need to find the sum of three consecutive odd integers.
Let x, x + 2, x + 4 be three consecutive odd integers.
We have been given the last one is m - 2
This means x + 4 = m - 2
So, the second odd integer would be,
x + 2 = m - 4
and the first odd integer would be,
x = m - 6
, we find the sum of the three odd consecutive integers.
⇒ (m - 6) + (m - 4) + (m - 2)
= m + m + m - 6 - 4 - 2
= 3m - (6 + 4 + 2)
= 3m - 12
Therefore, the sum of three odd consecutive integers is 3m - 12
Learn more about the odd integers here:
https://brainly.com/question/18365251
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What is the solution to this system of equations?
Answer:
（2,1）
Step-by-step explanation:
the graph intersects at 2 and 1
Which is equivalent to (-m)4x n2 ?
Answer:
a.) m⁴n²
Step-by-step explanation:
( -m)⁴ × n ²
A negative base raised to an even powers equals a positive.
m ⁴ × n²
multiply the terms
m⁴n²
Answer:
a.) m⁴n²
Step-by-step explanation:
yea
Will give brainliest answer please give explanation
If this block dropped into 23.0mL of water, what will the new volume be?
Raju and Johari baked 143 muffins altogether. Andrew and Johari baked 211 muffins altogether. (b) If Andrew baked 113 muffins, how many muffins did Raju, Johari and Andrew bake altogether?
Answer:
467 muffins
Step-by-step explanation:
143 + 211 + 113 = 467
Find the slope of the line containing the pair of points.
(-3,1) and (1, - 11)
Answer:
Step-by-step explanation:
slope = (y2 - y1)/(x2 - x1)
x2 = -3
x1 = 1
y2 = 1
y1 = - 11
slope = (1 - - 11) / (-3 - 1)
slope = 12 / - 4
slope = - 3
What is the simplest form of 0.0115
23/200
Hope this helps! :)
Answer:
23/2000
Step-by-step explanation:
0.0115 can be written as 115/10000
=23/2000
Please mark me as brainliest.
Couch johnson needs to buy shirts for his soccer players. He finds a package of 2:shirts for 16.00. How much will it cost to buy 18 shirts?
Answer:
144
Step-by-step explanation:
We can write this as 2 shirts = 16.00 . Then, we can write this as a ratio, where
2 shirts / 16.00 = 18 shirts/ cost of 18 shirts as the cost for a pair of shirts remains the same, so the ratio will as well.
Therefore, writing the cost of 18 shirts as c, we have
2 shirts/16.00 = 18 shirts/c
multiply both sides by c to remove a denominator
2 shirts * c/16.00 = 18 shirts
multiply both sides by 16 to remove the other denominator
2 shirts * c = 18 shirts * 16
divide both sides by 2 shirts to isolate the c, as we want to figure that out
c = 18 shirts * 16/2 shirts
c=144
98 POINTS!!!
Respond to this question to demonstrate your understanding of the topic/content. Be sure to provide adequate and relevant details learned in the module to support your response. Pay close attention to organizing your response so it makes sense and uses correct grammar. Your response should be at least 5-7 sentences at a minimum.
Question: Consider the graph of f(x) = 5x + 1. Explain how to find the average rate of change between x = 0 and x = 4. What is the average rate of change?
Answer:
The average rate of change is 5.
Step-by-step explanation:
First plug in the x values.
y=5x+1
=(0)5+1
=1
y=5x+1
=(4)5+1
=21
Average rate of change = the change in the output divided by the change in the input.
Output change: 21-1=20
Input change: 4-0=4
20/4=5
ASAP What is the rule for this relation? i will give brainliest
Answer:
your selected answer is right
Suppose you just received a shipment of 14 televisions. Three of the televisions are defective. If two televisions are randomly selected , compute the probability that both televisions work. What is the probability at least one of the two televisions does not work?
Answer:
Probability of defective televisions : Now, If two televisions are randomly selected, then the probability that both televisions work. Hence, the probability that both televisions work is 0.5289 . Hence, the probability at least one of the two televisions does not work is 0.4711.
A robot that makes _/6 of a boat per day will make 5 boats in 6 days
Examine the following expression.
p squared minus 3 + 3 p minus 8 + p + p cubed
Which statements about the expression are true? Check all that apply.
The constants, –3 and –8, are like terms.
The terms 3 p and p are like terms.
The terms in the expression are p squared, negative 3, 3 p, negative 8, p, p cubed.
The terms p squared, 3 p, p, and p cubed have variables, so they are like terms.
The expression contains six terms.
The terms p squared and p cubed are like terms.
Like terms have the same variables raised to the same powers.
The expression contains seven terms.
Answer:
the terms in the expression are p squared, negative 3,3p, negative 8,p,p cubed
Step-by-step explanation:
hope that helps
what is the formula for triangle
Answer:
A = 1/2 b × h
Step-by-step explanation:
hope it helps !!!!
Answer:
The formula for the area of a triangle is 1/2bh.
Find the value of X in each case:
Answer:
hi, see mate the third angle is not in the photo, please upload another one
Rewrite the expression by factoring out (u-8).3u^2(u-8)-2(u-8)
Answer:
The rewritten expression is [tex](u - 8)(3u^2 - 2)[/tex]
Step-by-step explanation:
We are given the following expression:
[tex]3u^2(u - 8) - 2(u - 8)[/tex]
Factoring out (u-8)
Place (u-8) to the front, and then divide each term by (u-8). So
[tex]3u^2(u - 8) - 2(u - 8) = (u - 8)\left[\frac{3u^2(u - 8)}{u - 8} - \frac{2(u-8)}{u - 8}\right] = (u - 8)(3u^2 - 2)[/tex]
The rewritten expression is [tex](u - 8)(3u^2 - 2)[/tex]
I need help please it’s for math
Answer:
139
Step-by-step explanation:
Since the given is a parallelogram then angle <D and angle <B are equal angles
10x - 21 = 9x - 5
10x - 9x = 21 - 5
x = 16 replace x with 16 to find the measure of angle <B
16*9 - 5 = 139
-5(8a+1)+6=281
Does anyone know the answer
Step 1: Distribute
-40a - 5 + 6 = 281
Step 2: Combine Like Terms
-40a + 1 = 281
Step 3: Move Variables and Constants to Different Sides
-40a = 280
Step 4: Divide
a = -7
Hope this helps!
a = -7
Step-by-step explanation;-5 ( 8a + 1 ) + 6 = 281
Step 1 :- Distribute -5 through parantheses.
-5 × 8a + 5 × 1 + 6 = 281-40a - 5 + 6 = 281Step 2 :- Combine like terms.
-40a + 1 = 281Step 3 :- Move constant to right-hand side and change their sign.
-40a = 281 - 1Step 4 :- Subtract the numbers.
-40a = 280Step 5 :- Divie both side by -40 .
-40a / -40 = 280 / -40a = -7Which of the following best describes the number below square root of -7
A. Perfect square
B.composite
C.imaginary
D.positive
Answer: The ans is imaginary . option c
Find the value of x in each case:
NEED IT NOW PLEASE
Angle QNM is =x by alternate angle reason (QU is parallel to MP)
X = 69
Solve the system of equations using the elimination method. 5x + 10y = 3 10x + 20y = 8
Answer:
Can not be solved
Step-by-step explanation:
5x+10y = 3............. Equation 1
10x+20y = 8 ............ Equation 2
From the equation above,
both equations can not be solved by elimination method, because both variables will be eliminated
How many boxes could you stack safely on a pallet if the pallet is 5 feet deep, five feet across, every box is 1 x 1 and the maximum safe stacking height is 5 boxes? *
Answer:
25 boxes could be stacked safely on the pallet.
Step-by-step explanation:
To determine how many boxes could you stack safely on a pallet if the pallet is 5 feet deep, five feet across, every box is 1 x 1 and the maximum safe stacking height is 5 boxes, the following calculation should be performed:
Pallet = 5 x 5 = 25 square feet
Box = 1 x 1 = 1 square foot
25/1 = 25
Therefore, 25 boxes could be stacked safely on the pallet.
The graph below represents the distance of a dog from a trainer after a command is given.
Which statement could describe the dog’s movement 5 seconds after the command was given?
The dog stopped to lie down and obey the trainer’s command.
The dog was running towards the trainer to receive a treat.
The dog was running away from the trainer to chase a squirrel.
The dog was stopped but began running towards the trainer.
Answer:
.
Step-by-step explanation:
when a force of 400N is applied on a body at angle of 60 degree to the horizontal displacement,the body covers a distance of 8m.what is the work done?
Answer:
1600N
Step-by-step explanation:
Force = 400 N
Angle with horizontal = 60°
Displacement in horizontal direction = 8 m
work done formula when angle is included: Force * distance * cos(angle)
400 * 8 * cos(60)
= 400 * 8 * 1/2
= 1600N
1000^1000
i would like to simplify it into 10^x, how?
Answer:
10^3000
Step-by-step explanation:
1000¹⁰⁰⁰
= (10³)¹⁰⁰⁰
= 10^(3×1000)
= 10³⁰⁰⁰ or 10^3000
Answered by GAUTHMATH
-11 + 4(3+1) + 3(5-9) + 7(6-8) + 25
Answer:
4
Step-by-step explanation:
-11 + 4(3+1) + 3(5-9) + 7(6-8) + 25
-11+4*4+3*-4+7*-2+25
-11+16+-12+-14+25
4
Finding probabilities associated with distributions that are standard normal distributions is equivalent to _______.
Answer:
finding the area of the shaded region representing that probability.
Step-by-step explanation:
In a normal distribution, standardardized probability is usually represented digramatically by a sketch which covers the area which always has a mean of 0 and a standard deviation of 1. The mean value is the midpoint of the area under the curve and has an equal difference of 1 to either side of graph which represents the standard deviation. The area of the shaded region under a normal probability curve represents the probability of associated with that particular standardized value.
find the slope and y-intercept of line 3x +y -9=0
Answer:
x-intercept(s):(3,0)
y-intercept(s):(0,9)
Step-by-step explanation:
All I need is number one
Answer:
a. 7 ÷ 4 yes
b. 4 ÷ 7 no
c. [tex]\frac{7}{4}[/tex] yes
d. [tex]\frac{4}{7}[/tex] no
e. 7 × [tex]\frac{1}{4}[/tex] yes
f. [tex]1\frac{3}{4}[/tex] yes
Step-by-step explanation:
hope this helps ^^
Using the table above. Which statement below is true?
9514 1404 393
Answer:
(d) 45% play basketball; 55% play soccer
Step-by-step explanation:
You just need a little number sense here. The total number who play sports is the number in the lower right of the table: 120.
The fraction who are males playing basketball is 42/120. Comparing that to 45/100, we see it cannot be 45%. (a) is false.
The fraction who are males is 72/120, more than half, so cannot be 40%. (b) is false.
Looking at males who play basketball, we have already determined the fraction 42/120 is well below 65%. (c) is false.
The fraction who play basketball is 54/120 = 45%. (d) is true.
