Answer:
the input number is -10
Step-by-step explanation:
output is always y
input is always x
so instead of y, put -52
-52=5x-2 add 2 to each side to ger 5x by itself
-50=5x divide both sides by 5 to get x by itself
-10=x
x is the input so the input is -10
find the limiting value using L hospital
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.
[tex]\Large\mathtt\color{red}{H}\color{orange}{E}\color{yellow}{L}\color{lime}{P}\color{green}{M}\color{cyan}{E}\color{aquamarine}{!}[/tex]
[tex]\Large\mathtt\color{cyan}{╭──━━━═══════━━━──╮}╭──━━━═══════━━━──╮[/tex]
5400 ÷ 300000
[tex]\Large\mathtt\color{cyan}{╰──━━━═══════━━━──╯}╰──━━━═══════━━━──╯[/tex]
[tex]\Large\blue{\boxed{\tt{\colorbox{cyan}{WITH}}}}[/tex]
[tex]\Large\blue{\boxed{\tt{\colorbox{cyan}{SOLUTION}}}}[/tex]
[tex]\tt\colorbox{blue}{\boxed{\colorbox{red}{ \color{pink}{ \rm{ NONSENSE = REPORT }}}}}[/tex]
Step-by-step explanation:
[tex] \\ {5400} \div 300000[/tex]
[tex] \\ = \frac{5400}{300000} [/tex]
[tex] \\ = \frac{ \cancel{5400}}{ \cancel{300000}} [/tex]
[tex] \\ = \frac{9}{500} [/tex]
[tex] \\ = 0.018[/tex]
which is the correct algebraic expression giving brainliest
Answer:
B
Step-by-step explanation:
Area of triangle - 1/2*c*d
Area of circle - 1/2*pi*(a/2)^2 = pi * a^2/8
Total area = 1/2cd + a^2 pi/8
The bookstore sold coloring books for $4. They are on sale for $1. Find the percent decrease.
Step-by-step explanation:
4 -1=3 so 4divided by 3= 1.33 so 1.33 as a percent is 133%
There are four springs stretched by the same mass.
Spring A stretches 25 cm.
Spring B stretches 10 cm.
Spring C stretches 100 cm
Spring D stretches 1 cm.
Which spring has the largest spring constant?
Ο Α
O B
O C
O D
Answer:
C is my answer
You cam correct me if im wrong in the comments
Help plzzzz! I rlly need help asap
Answer:
x=0
Step-by-step explanation:
2x-9=0
2x=9
x=9/2
4x+10=0
4x=-10
x=-5/2
2(9/2)-9 =0
4(-5/2)+10=10
5. Do you find similarities between the rules of adding & subtracting dissimilar fractions and
adding & subtracting dissimilar rational algebraic expressions?
Answer:
First, we will change dissimilar fractions into similar fractions by finding the least common denominator. Second, add them like similar fractions. And then finally, convert the answer in the lowest term. Example No.6 Subtract 3/4 from 4/5. What will be our least common denominator? The least common multiple of 5 and 4 is 20. That was an Example
Step-by-step explanation:
HELP ME HELP ME HELP ME!!! Given f(x) below, find f^-1(x).
Answer:
[tex]f^{-1}[/tex] (x) = 6 - 4x
Step-by-step explanation:
let y = f(x) and rearrange making x the subject
y = - [tex]\frac{1}{4}[/tex] x + [tex]\frac{3}{2}[/tex] ( multiply through by 4 to clear the fractions )
4y = - x + 6 ( subtract 6 from both sides )
4y - 6 = - x ( multiply through by - 1 )
- 4y + 6 = x
Change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then
[tex]f^{-1}[/tex] (x) = 6 - 4x
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 $85 per hour.
Step-by-step explanation:
had this question
PLEASE HELP GIVING BRAINLIEST
Answer:
x=16.9+34.6
x=51.5
.............................
- BRAINLIEST answerer
This recipe makes 8 pancakes.
Sanjay follows the recipe but wants to make 24 pancakes.
How much of each ingredient does he need?
Recipe: Makes 8
135 g flour
1 teaspoon (tsp) baking powder
2 tablespoons (tbsps) sugar
130 mL milk
1 egg
2 tablespoons (tbsps) oil
Answer:
If Sanjay wants to make 24 but the recipe makes 8, then do the recipe 3 times to get 24 (8 x 3 = 24)
135 x 3 = 405
1 x 3 = 3
2 x 3 = 6
130 x 3 = 390
1 x 3 = 3
2 x 3 = 6
So Sanjay would need the following to make 24 pancakes:
405g flour
3tsp baking powder
6tbsps sugar
390mL milk
3 eggs
6tbsps oil
Answer:
405 g flour
3 tsb baking soda
6 tbsps sugar
390 mL milk
3 eggs
6 tablespoons oil
Elena said the equation 9x+15=3x+15 has no solutions because 9x is greater than 3x. Do you agree with Elena? Explaining your reasoning.
Answer:
it does have a solution x=0
Step-by-step explanation:
9x+15=3x+15
6x+15=15
6x=0
x=0
Answer:
I agree.
Step-by-step explanation:
Here is my explantion:
[tex]9x+15=3x+15\\\\Simplify:\\9x=3x\\\\Subtract 3x from both sides\\9x-3x=3x-3x\\\\\\Simplify:\\6x=0\\\\Divide both sides by 6\\\frac{6x}{6} =\frac{0}{6}\\[/tex]
A comic book store is having a sale. You can buy 20 comic books for 35$. What is the cost of 8 books during the sale?
Answer:
$14
No explanation yet.
Answer:
$14
Step-by-step explanation:
14 dollars
In the base-ten number system, ten digits {0, 1, 2, 3, 4, 5, 7, 8, 9) are used for number
representations. The base-ten number 825 therefore means 8 x 102+2 x 10+5 x 1
Similarly, in the base-three number system, three digits {0, 1, 2) are used for number
representation. A base-three number 1212 means 1 x 3 +2 x 32 + 1 x 3+2 x 1. What
is the base-three representation of the base-ten number 35?
Answer:
..............I think its wrong .......
What is the slope of this graph please no links or files
Answer:
2/3
Step-by-step explanation:
You go over 2 and down 3
What is the y-coordinate of the solution of the system of equations?
Sy= 3x – 26
2x – y = 19
Enter your answer in the box.
y=
Answer: y=3x−262x−y=19
Step-by-step explanation:
The distance, d, that an object foto is directly proportional to the square of the time, t, it has been in free fall. An object that has been in free fall for 8 seconds has fallen 1024 feet. Determine the distance the object has fallen if it has been falling for 2 seconds
Answer:
d = 64 feet
Step-by-step explanation:
Given that d is directly proportional to t² then the equation relating them is
d = kt² ← k is the constant of proportion
To find k use the condition t = 8 , d = 1024 , then
1024 = k × 8² = 64k ( divide both sides by 64 )
16 = k
d = 16t² ← equation of proportion
When t = 2 , then
d = 16 × 2² = 16 × 4 = 64 feet
Is the trend line linear? If so, write a linear equation that represents the trend line. Show your work. I am having trouble writing the equation will someone do it for me because I don't understand.
Answer:
Our equation: y = 200x/3 + 100
Step-by-step explanation:
The trend line is linear.
y = mx + b
=> b = y-intercept = 100
=> m = slope = rise/run
=> 400/6 = 200/3
=> Slope = 200/3
Our equation: y = 200x/3 + 100
Hoped this helped.
y=2x + 1
4y - 6x = 10
Answer
2x+4
Step-by-step explanation:
when you would try to work it out you would have to put the y in parentheses as shown: (2x+1) then you would put the 4 in front of the parentheses, 4(2x+1). for the rest you would add the -6 behind the parentheses like, as shown: 4(2x+1)-6. To brake it down you would use the terms please excuse my dear aunt sally. AKA p e m d a s. you would do 2x+1 which stays the same. thhen you would multiply the 4 by 2x and 1 then it makes it 8x+4-6x which equals 2x+4.
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:
Find x from this equation 7x-5=10-3x
Answer:
x=1.5
Step-by-step explanation:
7x-5=10-3x <=>7x+3x=10+5 <=> 10x=15 <=> x= 3/2 = 1.5
ok done. Thank to me :>
Find the slope between (6,1) and (3,7)
Answer:
?
Step-by-step explanation:
Answer: m = -2
Step-by-step explanation: m = slope
which of the following is not a true dilation?
A. The image and preimage have congruent angles
B. The image and preimage have proportional sides
C. The image and preimage are congruent
D. The image and preimage are similar
Answer:
umm i think it is B.
Step-by-step explanation:
I need help in algebra
Answer: 8
Step-by-step explanation:
Answer:
8
Step-by-step explanation:
How to solve
× + 5 = 13
subtract from both sides of the equation.
× + 5 - 5 = 13 - 5
13 - 5= 8
please give me brainliest and a thanks.
pls give ans for the following image
Answer:
7 [tex]\frac{1}{8}[/tex]
Step-by-step explanation:
The reciprocal of a number n is [tex]\frac{1}{n}[/tex]
The reciprocal of 8 is [tex]\frac{1}{8}[/tex]
The reciprocal of [tex]\frac{1}{7}[/tex] is [tex]\frac{1}{\frac{1}{7} }[/tex] = 7
sum = 7 + [tex]\frac{1}{8}[/tex] = 7 [tex]\frac{1}{8}[/tex]
CAN SOMEONE PLSSSS HELP ME ON THE LAST ONE (c) AND GIVE THE REASON IM SO STUCK IN THIS MUCH APPRECIATED TO THOSE WHO HELP
Answer:
Diagram B
Step-by-step explanation:
A line of best fit is a line drawn through a set of points that fits it best. You can see in diagrams A and C that the lines cross through or near most of the points. However, in diagram B, it crosses through 2 points, and misses quite a lot. Your answer is B :) hope this helped!
7.4x10^7 in standard form
Answer: 740000000
Step-by-step explanation:
Answer:
0.000074
7.4×10−5
To write in standard notation, move the decimal point on
7.4
over as many times as the power of ten given.
Move to the left if the given power has a negative exponent
Move to the right if the given power has a positive exponent
Therefore:
7.4×10−5=0.000074
PLS HELP ASAP ILL GIVE BRAINLKEST
Answer:
Its the bottom one x>5
Step-by-step explanation:
man to be honest there is a girl i really like should i tell her how i feel
Answer:
I think if you haven't hung out with her a lot, you should start hanging out with her, getting along, until you have built up courage to tell her you have feelings for her.
A high school teacher teaches three classes per day. Her first class has double the number of students as her
second class, while her third class has 5 more students than her second class. In total, she teaches 65 students.
The equation 2x + x + (x + 5) = 65 represents this scenario, where x is the number of students in her
second class.
How many students are in her second class?
Answer: 15 students in her second class.
Step-by-step explanation:
Let A, B, and C stand for the number of students in each class. See the attached table.
The column labelled "Students" is formed by assinging B to the second class and finding how the other two classes relate to B. Class A has twice as many students as class B, so A = 2B. Class C has 5 more students than B, so C = B+5.
The total students amount to 65, whcih is the sum of A, B, and C:
A + B + C = 65
Substitute the values of A and C into this equation:
A + B + C = 65
2B + B + (B+5) = 65
4B + 5 = 65
4B = 60
B = 16
Use B=16 and solve for the other two classes (dotted blue line).
