Step-by-step explanation:
When x = 0,
sin3x / 6x = 0 / 0, which is an indeterminate form.
Hence we use L'Hospital's rule:
d/dx (sin3x) = 3cos3x
d/dx (6x) = 6
Now we have 3cos3x / 6 or 0.5cos3x.
When x = 0, 0.5cos3x = 0.5(1) = 0.5.
Hence the limit is 0.5.
Using limits, it is found that the value of the function is of 0.5.
The limit given is:
[tex]\lim_{x \rightarrow 0} \frac{\sin{(3x)}}{6x}[/tex]
The following property is used:
[tex]\lim_{x \rightarrow 0} \frac{\sin{(ax)}}{ax} = 1[/tex]
Hence, multiplying the numerator and denominator by 0.5:
[tex]\lim_{x \rightarrow 0} \frac{\sin{(3x)}}{6x} = 0.5\lim_{x \rightarrow 0} \frac{\sin{(3x)}}{3x} = 0.5(1) = 0.5[/tex]
The value of the function is of 0.5.
To learn more about limits, you can take a look at https://brainly.com/question/24482719
One admission to an ice skating rink costs x dollars, and renting a pair of ice skates costs y dollars. Your friend says she can determine the exact cost of one admission and one skate rental. Is your friend correct
The true statement is that your friend's claim is correct
What is a linear function?The question is an illustration of a linear function; a linear function is a function that has a constant rate/slope
A linear function is represented as:
[tex]y=mx+c[/tex]
The costs are given as:
Admission costs $xA pair of ice skates costs $ySo, the cost of one admission and one skate rental is:
[tex]Cost = x + \frac y2[/tex]
Hence, your friend's claim is correct
Read more about linear functions at:
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Write the linear equation in slope-intercept form.
-6x + y = 19
Please help??? Thank you!!!
Answer:
Step-by-step explanation:
The graph that would give the result of an integration and hence f would be the top one. f = x^4/4 - x^3 + a constant (perhaps zero) would look like the top graph. Just to show you that is true, I've enclosed a graph. The graph is of f which is given 2 lines up.
brainly what is y = 5x + 8; (2, 16)
Answer:
for finding the parallel line its y= 5x+6
Step-by-step explanation:
for the slope and y intercept its slope+5
y intercept its (0,8)
hopes this helps.
Estimate the difference.
14One-ninth – 5.89
8
12
16
20
Round 14One-ninth to 14
Round 5.89 to 6
Now subtract: 14-6 = 8
The answer is 8
an elevator began at an elevation of 85.5 feet and ascended at a rate of 2.75 feet per second. what was the elevation of the elevator after 8 seconds?
Answer:
107.5
Step-by-step explanation:
8 × 2.75ft = 22ft
22ft + 85.5ft = 107.5ft
Answer:
107.1
Step-by-step explanation:
the elevator is at 85.5 feet.
if the ascending (going up) rate is 2.75 and you want to know how far in 8 seconds, it's an easy process.
1. find the direction your going (up or down)
2. how far? (what rate for this one)
3. multiply said problem (2.75 x 8)
4. get your answer (21.6 ft per 8 seconds)
5. add or subtract to the height you are at now (85.5 ft)
6. you now have your answer! (107.1 ft in the air)
WILL MARK YOU BRAINLIEST ANSWER 1-3 plz
Answer:1)52
2)13
3)22
Step-by-step explanation
The answer to each part is mentioned below -
P = 72RU = 16SU = 22What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.Given is a kite TSVU as shown in the image.
{ 1 } -
UT = ST = 20
Perimeter of ΔSUT will be -
P = ST + TU + SU
P = 20 + 16 + 16 + 20
P = 72
{ 2 } -
Perimeter of ΔSUV will be -
P = SV + SU + VU
38 + 26 + VU = 102
VU = 38
ΔSUV ≅ ΔRUV
RU = SR = 16
{ 3 } -
ΔSUV ≅ ΔRUV
SR = RU
4x - 1 = x + 8
4x - x = 8 + 1
3x = 9
x = 3
SU = SR + RU
SU = 4x - 1 + x + 8
SU = 12 - 1 + 3 + 8
SU = 22
Therefore, the answer to each part is mentioned below -
P = 72RU = 16SU = 22To solve more questions on kites, visit the link below -
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please help what is the value of u
Answer:
34
Step-by-step explanation:
It is an isosceles triangle.
112 + u + u =180 {Angle sum property}
112 + 2u = 180
2u = 180 - 112
2u = 68
u = 68/2
u = 34
56 1/4% equals what?
Answer:
This is equal to 14025.
Step-by-step explanation:
Alternative is 1.4025×[tex]10^{4}[/tex]
Brainliest? Thanks!
A ranch hand herded his cattle to some grazing land. Then he began riding back to the ranch, which is due west, at 7 kilometers per hour. Simultaneously, the cows began moving away from him, too, headed due east at 2 kilometers per hour. How long did it take for the herd and the ranch hand to be 4 kilometers apart?
Answer:
4 kilometrs
Step-by-step explanation:
if you add the 2 to another 2 you get four
Answer:
4 kilometres
Hope this helped!
A department store sells a pair of shoes with an 87% markup. If the store sells the shoes for $193.21 then what is their non-markup price?
Step-by-step explanation:
87% + 100% = 187%
187% of original price = $193.21
100% of original price = $193.21 * (100/187) = $103.32.
The non-markup price is $103.32.
Answer:
87% + 100% = 187%
187% of original price = $193.21
100% of original price = $193.21 * (100/187) = $103.32.
The non-markup price is $103.32.
Step-by-step explanation:
Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!
Answer:
I think it’s 11 but not sure
Step-by-step explanation:
Answer:
11.4017543
(round if you're supposed to)
Step-by-step explanation:
It is a right triangle so you can use the pythagoreum theorem.
a(a) + b(b) = c(c)
a and b: legs
c: hypostenuse
9 and 7 are legs
the unknown is the hypostenuse
9(9) + 7(7) = c(c)
81 + 49 = c(c)
130 = c(c)
square root of 130 is 11.4017543
c(c) = 130
c = 11.4017543
9
1 point
The elevator of a building can safely carry no more than 4000 lbs. A worker moves supplies in 50-Ibs boxes from the loading dock to the
fourth floor of the building. The worker weighs 210 lbs. The cart weighs 95 lbs. What is the greatest number of boxes he can move in one
trip?
1
Write an inequality and solve.
2
b choose your answer...
V
type your answer...
3
4
Next
Previous
5
6
7
8
Solve the equation -2(y - 1) = 9.
-11/2
7/2
11/2
-7/2
Answer:
-7/2
Step-by-step explanation:
Use distributive property: a(b +c) = a*b +a*c
-2(y-1) = 9
y*(-2) - 1*(-2) = 9
-2y + 2 = 9 {Subtract 2 from each side}
-2y = 9 - 2
-2y = 7 {Divide each side by -2}
y = 7/-2
y = -7/2
Carlo drives into the city for work. His
average drive time is 48 minutes but
can vary by 15 minutes depending on
the traffic conditions on his way. Which
equation can he use to determine the
shortest and longest average drive
times?
Answer:
The most likely time 48 mins but there is differently some traffic if it normal takes 48 mins it would be 40.5 mins with no traffic.
Step-by-step explanation:
Which of the following best describes the Great Compromise?
A.
Only three-fifths of slaves in the southern states would be counted in the population used to assign the number of representatives in Congress.
B.
Congress would hold the power to levy taxes, but the individual states would determine how the taxes would be collected and paid to the federal government.
C.
The president would be indirectly elected by a super-majority (three-fifths) vote of the state legislatures.
D.
The states' representation in the lower house of the legislature would be divided according to population, and all states would be represented equally in the upper house.
Answer:
D.
Step-by-step explanation:
the Senate where each state has two Senators, and the House of Representatives where each state has a number of Representatives based on population.
50 POINTS!!! If you’re a frequent flyer who travels to many different airports, and you have a choice between SkyWest Airlines (OO) and Southwest Airlines (WN) for all your flights, which carrier should you choose if your primary concern is arriving on time?
Answer:
Southwest
Step-by-step explanation:
Southwest always has good timing.
Answer:
SouthWest airlines
Step-by-step explanation:
It is the best Airlines and will always arrive on time
If Sam & Jack have 3 apples and Sam gives two away BUT Jack buys two more apples, how many apples does Sam & Jack have now?
GIVE RIGHT ANSWER PLEASE DON’T GUESS
Answer:
3!!!!
Step-by-step explanation:
How do you write -2.16 as a fraction?
The choices are up there
Answer:
i got -2 4/25
Step-by-step explanation:
i think i might be wrong
Answer:
the answer is the 1st its a positive and if not then its the 2nd one
Step-by-step explanation:
PLEASE HELP FAST ITS TIMED! I Will Give Brainlist And Extra Points!
Answer:
-8, -5
Step-by-step explanation:
the answer to number one is -8. For functions, you just plug in the number in the parenthesis for x and then you solve. For number two, it is -5.
Answer:
-8, -5
Step-by-step explanation:
Complete the table below for the function y 3.2 0. 0 1 2 3
im slow so could somebody help me please
Answer:
Divide the numerator and denominator by 6
Which of the following expressions results in a positive number?
5. ( - 1)
-30(-8)
-6 (2)
Sect one:
Answer:
-30(-8)
Step-by-step explanation:
A negative times a negative always equals a positive.
The slope of the line below is 2. Which of the following is the point-slope form of the line?
The correct point-slope form of the line is A. y + 1 = 2(x - 1).
The point-slope form of a linear equation is given by y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.
Given that the slope of the line is 2 and the point on the line is (1, -1), we can substitute these values into the point-slope form to find the correct equation.
Using the point-slope form, we have:
y - (-1) = 2(x - 1)
Simplifying the equation, we get:
y + 1 = 2(x - 1)
Now we compare this equation to the answer choices:
A. y + 1 = 2(x - 1)
B. y - 1 = -2(x + 1)
C. y + 1 = -2(x - 1)
D. y - 1 = 2(x + 1)
Comparing the equation y + 1 = 2(x - 1) to the given point-slope form, we see that they match.
In this equation, the point (1, -1) lies on the line, and the slope of the line is 2. The equation represents a line with a slope of 2 that passes through the point (1, -1).
For more such questions on point-slope form
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Which statement is shown about the graphs shown?
Answer: In A it seems that everything got higher and higher by each number going up and that it kept going while in B it din't start in 0 but more between the middle of 1 and 2 and in the end of it, it doesn't go as high as A. Hope this helped
Step-by-step explanation:
what is the probability of drawing a club out of a deck of cards?
Answer:
13/52 or 25%
Step-by-step explanation:
There are 13 clubs out of a deck of cards (52)
Answer:
The probability of drawing a club is 13/52
There are 13 clubs in a 52 cards deck
factor with distributive property (no variables) 55 + 35
55 + 35 Factorized ↓
5(11 + 7)
I hope this helps u
God bless
Answer
5(11+7)
1. Find the greatest common factor of 55 and 35.
The greatest common factor of 55 and 35 is 5.
2. Divide each number (in the expression) by the common factor
55/5=11
35/5=7
3. Write the factorized expression
So you multiply 5 times 11 and 5 times 7.
So when distributing, you would multiply the number outside of the parentheses by each of the numbers in the parentheses.
The number outside is 5 and the numbers inside are 11 and 7.
So the expression is 5(11+7)
5*11=55
5*7=35
4. Check to see if you get the same answer (optional)
55+35=90
5(11+7)=5(18)=90
4x+8 =20
- 4x + 2y = -30
Answer:
first one is x=3
Step-by-step explanation:
Determine which number would satisfy the inequality 3y-8>22. Choose all that apply.
A. 13
B. 0
C. -5
D. 10
E. 11
Answer:
my best guest would be only 10
Step-by-step explanation:
There are 13, and 11 are would satisfy the given inequality 3y - 8 > 22. The correct answer would be options (A), and (E).
What is inequality?An Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.
The inequality is given in the question, as follows:
3y - 8 > 22
We have to determine which number would satisfy the inequality.
As per the question, we have
⇒ 3y - 8 > 22
Add 8 both sides of the above inequality,
⇒ 3y - 8 + 8 > 22 + 8
⇒ 3y > 30
Divided 3 into both sides of the inequality, we get
⇒ y > 30/3
⇒ y > 10
So, we can conclude that 13, and 11 would satisfy the inequality.
Hence, the correct answer would be options (A), and (E).
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Please help brainiest will give you!
Find the slope of it!
A. -3
B. -1/3
C. 1/3
D. 3