Answer:
c.) 36cm
Step-by-step explanation:
:))
what is 7/9 divided by 6/8
Answer: \(\frac{28}{27}\) or \(1\frac{1}{27}\)
Step-by-step explanation:
\(\frac{7}{9} /\frac{6}{8} = \frac{7}{9}(\frac{8}{6})\)
\(\frac{7}{9} (\frac{8}{6} ) = \frac{28}{27}\)
\(\frac{28}{27} = 1 \frac{1}{27}\)
The dress Magnolia wants to buy costs $80. The
price increases by $5 each week, and Magnolia
has to wait 3 weeks until payday, when she will
have enough money to buy it. At that time, she
will get a 10% discount. How much will she pay?
A. $85.50
B. $87.00
C. $93.50
D. $104.50
The answer is A. $85.50
Choose the limit to which L'Hôpital's rule may be applied:
a. lim x approaches 0 (1/x)
b. lim x approaches 0 ((2x^2) -1)/3x-1
c. lim x approaches 0 (1-cosx)/x
d. lim x approaches 0 (cos2x)/2
which one is right?
The solution is Option C.
The L'Hopital's rule is applied to the equation lim x approaches 0 (1-cosx)/x
What is L'Hopital's rule?L'Hopital's rule then states that the slope of the curve when t = c is the limit of the slope of the tangent to the curve as the curve approaches the origin, provided that this is defined. The limit of a quotient of functions (i.e., an algebraic fraction) is equal to the limit of their derivatives.The tangent to the curve at the point [g(t), f(t)] is given by [g′(t), f′(t)]
And , lim x approches c [ f ( x ) / g ( x ) ] = lim x approches c [ f' ( x ) / g' ( x ) ]
Given data ,
Let the equation be represented as A
Now , the value of A is
a)
The equation is A = lim x approaches 0 (1/x)
On simplifying the equation , we get
The limit diverges as the function diverges and limit does not exist
And , lim x approaches 0₊ (1/x) ≠ lim x approaches 0₋ (1/x) = ∞
b)
The equation is A = lim x approaches 0 ( 2x² - 1 ) / ( 3x - 1 )
On simplifying the equation , we get
when x = 0 ,
Substitute the value of x = 0 in the limit , we get
A = ( 2 ( 0 )² - 1 ) / ( 3 ( 0 ) - 1 )
A = ( 0 - 1 ) / ( 0 - 1 )
A = 1
c)
The equation is A = lim x approaches 0 ( 1 - cosx ) / x
On simplifying the equation , we get
Applying L'Hopital's rule , we get
lim x approches c [ f ( x ) / g ( x ) ] = lim x approches c [ f' ( x ) / g' ( x ) ]
f ( x ) = ( 1 - cos x )
g ( x ) = x
f' ( x ) = sin x
g' ( x ) = 1
So ,
lim x approches 0 [ f' ( x ) / g' ( x ) ] = lim x approches 0 ( sin x / 1 )
when x = 0
sin ( 0 ) = 0
Therefore , the value of lim x approaches 0 (1-cosx)/x = 0
d)
The equation is A = lim x approaches 0 ( cos 2x ) / 2
On simplifying the equation , we get
when x = 0 ,
A = cos ( 2 ( 0 ) / 2
A = cos ( 0 ) / 2
A = 1/2
Hence , the L'Hopital's rule is applied to lim x approaches 0 ( 1 - cosx ) / x
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do you remember how to find a discontinuity of a rational function? how is it different from an asymptote
the discontinuities of a rational function involves finding the values of x that make the denominator equal to zero, while finding the asymptotes of a rational function involves examining the behavior of the function as x approaches certain values.
Describe the function.
There will be questions on every subject, including created and real places as well as algebraic variable design, on the midterm test. a schematic illustrating the connections between various components that work together to produce the same outcome. A service is made up of many unique parts that work together to produce unique outcomes for each input.
To find the discontinuities of a rational function, we need to determine where the function is undefined. In general, a rational function is a function of the form:
f(x) = p(x) / q(x)
where p(x) and q(x) are polynomials in x, and q(x) is not the zero polynomial. The rational function f(x) is undefined at any value of x that makes the denominator q(x) equal to zero, since division by zero is undefined.
Therefore, to find the discontinuities of a rational function, we need to solve the equation q(x) = 0. The values of x that make q(x) equal to zero are called the "zeros" or "roots" of the denominator q(x). These values of x are the discontinuity points of the function, since the function is undefined at those points.
On the other hand, to find the asymptotes of a rational function, we need to examine the behavior of the function as x approaches certain values. In general, a rational function may have three types of asymptotes: horizontal, vertical, and oblique (also called slant).
Vertical asymptotes occur when the function approaches positive or negative infinity as x approaches a certain value, typically where the denominator q(x) equals zero.
Horizontal asymptotes occur when the function approaches a constant value as x approaches positive or negative infinity.
Oblique asymptotes occur when the degree of the numerator is exactly one greater than the degree of the denominator. In this case, the function approaches a straight line (i.e., a slant asymptote) as x approaches positive or negative infinity.
To summarize, finding the discontinuities of a rational function involves finding the values of x that make the denominator equal to zero, while finding the asymptotes of a rational function involves examining the behavior of the function as x approaches certain values.
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What is the solution to the equation below?
Answer:
The solutions are (2,0) and (3,0)
Step-by-step explanation:
The common denominator is (x - 2)(x - 4) which comes to x^2 - 6x + 8 which is exactly what the denominator on the right hand side is.
2x (x - 4) - (x+3)(x - 2) = - 4x
============= ========
(x -2)(x - 4) x^2 - 6x - 8
Multiply both sides by x^2 -6x - 8
2x(x - 4) - (x^2 + x - 6 ) = - 4x Remove the brackets
2x^2 - 8x - x^2 - x + 6 = - 4x Combine like terms on the left
2x^2 - x^2 - 8x - x + 6 = - 4x
x^2 - 9x + 6 = - 4x Add 4x from both sides
x^2 - 9x + 4x + 6 = 0
x^2 - 5x + 6 = 0
This factors into
(x - 2) and (x - 3)
x - 2 = 0
x = 2
x - 3 = 0
x = 3
I need to make a recursive equation with the table, that fits inside the blanks
Given:
\(\begin{gathered} Q_1=3 \\ Q_3=8 \\ Q_7=18 \end{gathered}\)The recursive formula is:
\(Q_n=Q_{n-1}+2.5\)For n = 2, 3, 4, ...
\(undefined\)What is 2x+7y=28 in slope intercept form
Answer:
y = -2/7x + 4
Suppose you were deciding on a ticket price for a fundraiser dinner. There may be a temptation to continue to raise the ticket sales to increase the amount of money raised. Sounds like an okay idea to raise the most money possible for a charity. You may have heard of a guest speaker at a fundraising dinner where people are charged $100 a plate or more. What do you think is a realistic price for tickets? What are the consequences of raising the price $50 or $100 to $150 a plate or $200 a plate.
Answer:
$50 per ticket.
Step-by-step explanation:
Although it is tempting to keep raising the price for a higher profit, if you raise the price by too much, people will stop buying tickets and you will not gain as much money as you could have gotten with, say, $50 per plate.
The more you raise the price, the less tickets you can sell.
Hope this helps!
first to reply gets brainliest, only if u reply correct
Answer: D
Step-by-step explanation: If you plug in the formula, it works.
Answer:
D
Step-by-step explanation:
Which value, when placed in the box, would result in a system of equations with infinitely many solutions? y = -2x 4 6x 3y =
The missing value is 12 in a system of equations with infinitely many solutions conditions.
It is given that in the system of equations there are two equations given:
\(\rm y =n -2x+4\\\rm and \\\rm 6x+3y= ?\)
It is required to find the missing value in the second equation.
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
We have equations:
\(\rm y = -2x+4 ....(1)\\ \\\rm 6x+3y= ? ....(2)\)
Let's suppose the missing value is 'Z'
We know that the two pairs of equations have infinitely many solutions if and if they have the same coefficients of variables and the same constant on both sides.
From equation (1)
\(\rm y = -2x+4 \\\\\rm 2x+y=4\)(multiply both the sides by 3)
\(\rm 6x+3y=12\) ...(3)
By comparing the equation (2) and (3), we get
M = 12
Thus, the missing value is 12 in a system of equations with infinitely many solutions conditions.
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Rebecca is calculating her expected expenses for her week long trip to Thailand. Her plane ticket costs 22,885 baht, her lodging costs 15,307 baht, and she has set aside 29,071 baht for food and spending money. What is Rebecca’s total expense? a. 128,071 baht b. 67,263 baht c. 21,493 baht d. 9,121 baht.
Answer:
The answer is B because you add up the 3 expenses
Step-by-step explanation:
Add the three expenses
The total expected expense of Rebecca for her week long trip to Thailand is given by: Option B: 67,263 baht
How to calculate total expense?Total expense shows the overall expense for the thing we're expending for. We add all the expenses to get the total expense.
For this case, we're given that:
Cost of plane tickets = 22,885 bahtCost of lodging = 15,307Cost for food and other expenses = 29,071So, total expected expense is sum of all these expenses.
Total expected expense = 22885 + 15307 + 29071 = 67263 baht
Thus, the total expected expense of Rebecca for her week long trip to Thailand is given by: Option B: 67,263 baht
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if two medians of a triangle are equal ,proof that the triangle formed by a segment of the median and the third side is an isosceles triangle
Let the triangle be ABC, and where the medians AD and BE intersect be M.
The three medians intersect at the centroid, and divide each other in the ratio 1:2
That means that AM = BM and the triangle ABM is isosceles.
3 A buoy is 30 feet from the shore. You swim 3/5 the way to the buoy. How much farther do you have to swim to reach the buoy?
Answer:
12 feet
Step-by-step explanation:
30 divided by 5= 6
6 times 3= how far youve already swam(18 feet)
6 times 2= how far you have left(12 feet)
Please help me with this question
Answer:
C
180(.6) because 40% off is 0.4 and what is left over is 60% or 0.6. When you multiply this you get 108. 5% sales tax is a 5% increase, so multiple 108(1.05) and you get $113.40.
Dana enters a race where she has to cycle and run. She cycles a distance of 25km and then runs for 20km. Her average running speed is half of her average cycling speed. If dana completes the race in 5 hours, what is her average cycling speed !
Step-by-step explanation:
Let running speed = x.
So, cycling speed = 2x.
Total distance traveled = 20 + 25 = 45km
Time taken running = 20/x
Time taken cycling = 25/2c
Total time taken = 5 hours
So, 5 = 20/x + 25/2x
Solving this equation for x gives:
10x = 65. Thus x = 6.5
Since cycling speed = 2x, cycling speed = (6.5)(2)
So cycling speed is 13 km/h.
Hope it helps.
For a discrete-time discrete-valued random process, how many numbers must generally be specified to describe the variance sequence? A. Zero B. one C. two D. an infinite number
If we want to fully describe the variance Sequence for all time indices, the answer is D, an infinite number.
For a discrete-time discrete-valued random process, the variance sequence describes how the variance of the random variable associated with the process changes over time.
To fully describe the variance sequence, we need to specify the variance of the random variable for each time index. Therefore, we need to specify as many numbers as there are time indices, which could be infinite if the process is defined for all time.
However, in general, we may not be interested in the variance sequence for all time indices, and we may only need to describe a finite number of variances. Therefore, the answer to the question depends on the specific context and the information we are interested in.
If we want to fully describe the variance sequence for all time indices, the answer is D, an infinite number.
However, if we only need to describe the variance sequence for a finite number of time indices, the answer could be any number greater than or equal to zero, depending on the specific number of time indices we are interested in.
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David bought 26 boxes of crayons for $38.48. How much did he pay for each box of crayons?
Answer:
740.48
Step-by-step explanation:
multipky
How do I put my answer in fraction form because I have no absolute clue.
Answer:
30/40
or
3/4
that is what i think it is cause The tangent of an angle is the trigonometric ratio between the adjacent side and the opposite side of a right triangle containing that angle.
tangent=lengthofthelegoppositetotheanglelengthofthelegadjacenttotheangle abbreviated as "tan"
State the y-intercept of the function: f(x) = 3x - 6 *
Answer:
The y-intercept is -6.
Step-by-step explanation:
When Jon rides his bike for 40 minutes, he burns 200 calories. How many calories does he burn if he rides his bike for 2 hours?
Answer:
600 calories
Step-by-step explanation:
120 (# of minutes in 2 hours) divided by 40 is 3, so multiply 200 by 3 and you get 600
Answer:
600 calories burnt
Step-by-step explanation:
What I started with is 200/40=5 calories burned per min
60 plus 60=120
5x120=600
Hope this helps
b.The branch manager wants to improve the service and suggests dispatching buses every 0.5 minute. She argues that this will reduce the average traveling time (a round trip) to 3.5 minutes. Is she correct? (Enter "Yes" or "No" in the following blank). c. Following the branch manager's suggestion (dispatch busses every 0.5 min), what will the average traveling time be? average travelling time____ (mins) (enter the numbers only)
(b) No, The branch manager's argument that dispatching buses every 0.5 minutes will reduce the average traveling time (a round trip) to 3.5 minutes is not correct.
To calculate the average time, we need to consider the time it takes for the bus to travel to the airport and back, as well as the time spent waiting for the bus.
If buses are dispatched every 3 minutes, and the average traveling time (a round trip) is 21 minutes, it means that passengers spend 18 minutes waiting for the bus (21 minutes - 3 minutes of traveling time).
If buses are dispatched every 0.5 minutes, the waiting time will be significantly reduced. However, the traveling time remains the same at 21 minutes for a round trip.
Therefore, the average traveling time will not be reduced to 3.5 minutes but will remain at 21 minutes (assuming the traveling time remains constant).
(c) The average traveling time, following the branch manager's suggestion of dispatching buses every 0.5 minutes, would still be 21 minutes.
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Complete question:
The Avis Company is a car rental company and is located three miles from the Los Angeles airport (LAX). Avis is dispatching a bus from its offices to the airport every 3 minutes. The average traveling time (a round trip) is 21 minutes.
(a) The branch manager wants to improve the service and suggests dispatching buses every 0.5 minute. She argues that this will reduce the average traveling time (a round trip) to 3.5 minutes. Is she correct? (Enter "Yes" or "No" in the following blank).
c. Following the branch manager's suggestion (dispatch busses every 0.5 min), what will the average traveling time be? average travelling time ____(mins) (enter the numbers only)
one of the factors of g2 − 28g 196 is (1 point) g − 7 g − 14 g 14 g 7
( g - 14)² is factor of equation .
What is factor ?
A number that divides another number by itself with no residual is known as a factor.The factors of 8 are the numbers that divide 8 exactly without leaving any remainder. There are four factors of 8, they are 1, 2, 4, and 8.
In other words, if multiplying two whole numbers results in a product, the numbers we are multiplying are factors of the product since the product is divisible by them. Since the numbers we are multiplying are divisible by the product, they are factors of the product.
g2 − 28g + 196
= g² - 14g - 14g + 196
= g( g- 14 ) - 14( g - 14 )
= ( g - 14) ( g - 14)
= ( g - 14)²
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The complete question is -
One of the factors of g2 -28g + 196 is a. g-7 b. g-14 c. g+14 d. g+7
For a given recipe, 14 cups of flour are mixed with 21 cups of sugar. How many cups of flour should be used if 36 cups of sugar are used?
Assuming a constant ratio, fill out the table of equivalent ratios until you have found the value of x
The cups of flour that should be used if 36 cups of sugar are used is 24 cups.
What is a ratio?A ratio is used to show the comparison between two or more things.
Let the number of cups of flour be represented by x.
In this case, for a given recipe, 14 cups of flour are mixed with 21 cups of sugar. This will be illustrated as:
14/21 = x/36
Cross multiply
21x = 14 × 36
x = (14 × 36) / 21
x = 24
He should use 24 cups.
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WHAT numbers do 12 and 10 go in evenly
Answer:
Step-by-step explanation:
All the factors of 12
So 1, 2, 3, 4, 6 and 12 are factors of 12.
Answer:
answer is 2×2×3×5= 4×15=60 im srry if you did not mean this but anyways have nice day
Step-by-step explanation:
12,10| 2
6,5| 2
3,5| 3
1,5| 5
1,1
pls help
What is due to acids formed when atmospheric and volcanic gases mix with water
A chemical weathering
B mechanical weathering
C root- pry
D pedalfer
Answer:
your answer is A chemical weathering
Step-by-step explanation:
as when volcanic gasses and atmospheric gasses mix it can become a sort of acidic rain in some cases I hope this answer helps I apologize for any wrong answers this is not my best subject but I wanted to attempt this as I k ow a small amount about it!
The process described in the question is known as acid rain, which is a type of chemical weathering. The correct answer would be option (A) chemical weathering.
What is acid rain?When atmospheric and volcanic gases mix with water in the atmosphere, they can form acids such as sulfuric acid and nitric acid. These acids can then drop to the earth as acid rain. In rare situations, the mixing of volcanic and atmospheric gases can result in acidic rain.
Acid rain can cause chemical reactions with minerals in rocks and soil, dissolving them over time. This can lead to the breakdown of the rock or soil, which is an example of chemical weathering.
Thus, the process described in the question is known as acid rain, which is a type of chemical weathering.
Hence, the correct answer would be option (A) chemical weathering.
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Which is the better buy?
Frozen Peas
Cost (dollars)
Weight (ounces)
O Brand A
A B
2
16
3
28
O Brand B
O The unit cost is the same.
The better buy is given by the following brand:
Brand A.
How to obtain the better buy?The better buy is obtained applying the proportions in the context of the problem.
A proportion is applied as the cost per ounce is given dividing the total cost by the number of ounces.
Then the better buy is given by the option with the lowest cost per ounce.
The cost per ounce for each brand is given as follows:
Brand A: 16/2 = $8 per ounce.Brand B: 28/3 = $9.3 per ounce.$8 per ounce is a lesser cost than $9.3 per ounce, hence the better buy is given by Brand A.
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For the polynomial function find the following: (i) Degree of the polynomial; (ii) All intercepts; (iii) The intercept.
y = x^2 + 169
Degree of a Polynomial:
When our polynomial is written in expanded form, we can determine its degree by stating the highest exponent on our variable. If our polynomial is factored, the degree is instead equal to the sum of the number of factors, though if any factor is taken to an exponent, we count that factor as many times as indicated by the value of the exponent.
(i) The highest exponent on the variable x is 2. Therefore, the degree of the polynomial is 2. (ii) There are no x-intercepts for this polynomial. (iii) Since there are no x-intercepts, there is no intercept to be determined for this polynomial.
For the polynomial function \(y = x^2 + 169\):
(i) Degree of the polynomial:
The highest exponent on the variable x is 2. Therefore, the degree of the polynomial is 2.
(ii) All intercepts:
To find the intercepts, we set y = 0 and solve for x.
When y = 0:
\(x^2 + 169 = 0\)
This equation has no real solutions because the term x^2 is always non-negative, and adding 169 to it will result in a positive value. Therefore, there are no x-intercepts for this polynomial.
(iii) The intercept:
Since there are no x-intercepts, there is no intercept to be determined for this polynomial.
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A force of 320 pounds just keeps a 4200-
pound vehicle from rolling down a hill.
To the nearest tenth of a degree, what
angle does the hill make with the
horizontal?
The hill makes an angle of approximately 8.6 degrees with the horizontal.
To find the angle that the hill makes with the horizontal, we can use the concept of equilibrium. In this scenario, the force that keeps the vehicle from rolling down the hill is equal to the component of the vehicle's weight perpendicular to the hill's surface.
The force that prevents the vehicle from rolling down the hill is given as 320 pounds. We need to find the component of the vehicle's weight that acts perpendicular to the hill. Let's denote this component as F_perpendicular.
Since the weight of the vehicle is 4200 pounds, the component of the weight perpendicular to the hill can be calculated using trigonometry. The formula is:
F_perpendicular = weight * sin(angle)
We rearrange the equation to solve for the angle:
angle = arcsin(F_perpendicular / weight)
Plugging in the given values, we have:
angle = arcsin(320 / 4200)
Using a calculator, we find that the angle is approximately 8.6 degrees.
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49 - (32+8.3) I need help doing this
Answer:
234
Step-by-step explanation:
Answer:
The answer would be 8.7
Step-by-step explanation:
First, you would start with the parentheses. So add 32+8.3 to get 40.3.
The equation will look like this: 49-40.3
The final step would be subtraction.
49-40.3= 8.7
You will get 8.7 as your answer!
I hope this helps!! ;-)
Omar goes to a restaurant with his family. The total cost of their food is $136. An 8% sales tax is applied to the cost of their food. His family also wants to leave an 18% tip, which is based on the pre-tax food cost. How much will the final restaurant bill be?
A, $146.88
B, $160.48
C, $171.36
D, $173.32
Answer:
C. 171.36....... :)).......