Answer:
3/4
Step-by-step explanation:
To find the common ratio, take the second term and divide by the first term
3/4
Check with the third and second terms
9/4 ÷3
9/4 *1/3= 3/4
The common ratio is 3/4
Find the limit. Use l'Hospital's Rule if appropriate. If there is a more elementary method, consider using it. lim x→0 (csc(x) − cot(x))
Answer:
0
Step-by-step explanation:
[tex]\lim_{x \to 0} (csc(x)-cot(x))\\= \lim_{x \to 0}(\frac{1}{sin x}-\frac{cos(x)}{sin (x)} )\\=\lim_{x \to 0}(\frac{1-cos x}{sin x} )\\=\lim_{x \to 0}(\frac {2 sin ^2 \frac{x}{2}}{2sin \frac{x}{2} cos\frac{x}{2} } )\\=\lim_{x \to 0}(tan \frac{x}{2} )\\=\lim_{x \to 0}\frac{tan \frac{x}{2} }{\frac{x}{2} } \times \frac{x}{2} \\=1 \times 0\\=0[/tex]
An Internet service provider is implementing a new program based on the number of connected devices in each household currently,customers are charged a flat rate of $175 per month.the new plan would charge a flat rate of $94 plus an additional $4.50 per device connected to the network.find the number of devices,x,for which the cost of the new plan is less than the cost of the current plan.
Answer:
(x=6) is less than 18 which would give you the cost of the current plan
Step-by-step explanation:
If you take six, first you must multiply 4.50 by 6, ($27) then add it, to $94, giving you $121. Now we have to find which phone will give us the same cost, for this I choose 18. if you do 18 x 4.50, you get $81, and if you add this to 94, it gives you 175.
write a letter to your friend in Ghana stating your experience in your presentation school in nigeria
Answer:
hi Ghana how are you doing I am fine here. I really miss u and my friends in the old.U know what in Nigeria this school is really awesome and fantastic we have a swimming pool here and we can go to trip and we can have many things here I really loved this school.
at starting I was not have any friends and know I have many friends. But I really miss u this is what about our . Come to my house I can show you my school it is very near to my house .
Ur friend
writ ur name
Which expression is not a polynomial
Answer:
the last option [tex]x^{3}[/tex] + 1 / x
Step-by-step explanation:
first option's x has the power 3
second option's x has the power 1
third option's x has the power 1
but in the last option it has the power -1
polynomials doesn't support negative power
*remember
Please Solve
F/Z=T for Z
Answer:
F /T = Z
Step-by-step explanation:
F/Z=T
Multiply each side by Z
F/Z *Z=T*Z
F = ZT
Divide each side by T
F /T = ZT/T
F /T = Z
Answer:
[tex]\boxed{\red{ z = \frac{f}{t} }}[/tex]
Step-by-step explanation:
[tex] \frac{f}{z} = t \\ \frac{f}{z} = \frac{t}{1} \\ zt = f \\ \frac{zt}{t} = \frac{f}{t} \\ z = \frac{f}{t} [/tex]
Solve the equation for y. Identify the slope and y-intercept. Then graph the equation.
-3y=3x-9
Y=
M=
B=
Paisley is playing with a yo-yo. The following graph traces the path of the yo-yo while it is in the air, where y is the height of the yo-yo above the
ground, and x is the time, in seconds, from when the yo-yo leaves Paisley's hand Five stages of the yo-yo's path are marked on the graph.
Which of the five stages shows the slowest rate of change in the yo-yo's height above the ground?
А
В
C
D
Answer:
C
Step-by-step explanation:
From the graph we can notice that the yo-yo crosses five positions: A,B,C,D and E.
The path created by the yo-yo has a parabolic form.
● In the area C, the yoyo crosses the vertex in wich the rate of change equals 0.
●In A the parabola decreases dramatically
● In B, the parabola is decreasing but slower than A.
● In D, the parabola is increasing in a fast way
● In E, the parabola is increasing faster than D.
● In the first half of C, the parabola is decreasing slower than B and A.
● At the vertex, the parabola has a null rate of change.
● In the second half of C, the parabola is increasing but slower than D and E.
So we deduce that C has the slowest rate of change.
Answer:
The answer is C i took the test
Step-by-step explanation:
g (3 points)Set up but do no solve the integral required to calculate the volume formed by rotating the region bounded by f(x) = 1/x,g(x) = 1/x^3, andx= 2, andx= 4 around they-axis. Also draw a picture of the region (non-revolved).
Answer:
Hello,
Step-by-step explanation:
[tex]\displaystyleV=2*\pi*\int\limits^4_2 {(\dfrac{1}{x}-\dfrac{1}{x^3} )*x } \, dx \\=2*\pi*\int\limits^4_2 {(1-\dfrac{1}{x^2} ) } \, dx \\=2*\pi* [x+\dfrac{1}{x}]^4_2\\\\\boxed{V=\dfrac{7\pi}{2}}\\[/tex]
Kent Co. manufactures a product that sells for $60.00. Fixed costs are $285,000 and variable costs are $35.00 per unit. Kent can buy a new production machine that will increase fixed costs by $15,900 per year, but will decrease variable costs by $4.50 per unit. What effect would the purchase of the new machine have on Kent's break-even point in units?
0riginal break even point:
285000/ 60/35 = $166,250
New break even point = new fixed costs / ( selling price - variable cost/ selling price)
New break even point = 285,000 + 15,900. / ( 60-( 35-4.50)/60
300,900 / 60-30.50/60 = $612,000
The new break even point increases.
Josh has 4 times as many pears as leya, who has one half as many pears as amy. If josh has 32 pears how many does amy have?
Answer:
josh = 32
leya = 8
amy =4
Step-by-step explanation:
32 pears
Josh = 4l
leya = a/2
Amy = ?
L =8
A = 4
Check answer:
josh = 32
leya = 8
amy =4
Josh has 4 times as Leya True
Leya has half as many pears as Amy True
Step-by-step explanation:
Let J represent the number of pears Josh has.
Let L represent the number of pears Leya has.
Let A represent the number of pears Amy has.
From the question given above,
Josh (J) = 4 × Leya (L)
J = 4L ....... (1)
Leya (L) = ½ × Amy (A)
L = ½A ........ (2)
Next, we shall determine the number of pears Leya has. This can be obtained as follow:
From equation 1
J = 4L
But
Josh (J) = 32 pears
Thus,
32 = 4L
Divide both side by 4
L = 32 / 4
Leya (L) = 8 pearsFinally, we shall determine the number pears Amy has. This can be obtained as follow:
From equation 2
L = ½A
But
Leya (L) = 8 pears
Thus,
8 = ½A
Cross multiply
A = 8 × 2
Amy (A) = 16 pearsTherefore, Amy has 16 pears.
Learn more: https://brainly.com/question/20971657
HELP ASAP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
Option (B)
Step-by-step explanation:
The given expression is,
[tex]\sqrt{22x^6}\div\sqrt{11x^4}[/tex]
We can rewrite this expression as,
[tex]\frac{\sqrt{22x^6}}{\sqrt{11x^4} }[/tex]
Solving it further,
[tex]\frac{\sqrt{22x^6}}{\sqrt{11x^4} }=\frac{\sqrt{22(x^3)^2} }{\sqrt{11(x^2)^2} }[/tex] [Since [tex]x^3\times x^3=x^6[/tex] and [tex]x^{2}\times x^{2}=x^4[/tex]]
[tex]=\sqrt{\frac{22(x^3)^2}{11(x^2)^2} }[/tex] [Since [tex]\frac{\sqrt{a} }{\sqrt{b} }=\sqrt{\frac{a}{b} }[/tex]]
[tex]=\frac{x^3}{x^2}\sqrt{\frac{22}{11} }[/tex]
[tex]=x\sqrt{2}[/tex]
Therefore, quotient will be x√2.
Option (B) will be the correct option.
Sherina wrote and solved the equation. x minus 56 = 230. x minus 56 minus 56 = 230 minus 56. x = 174. What was Sherina’s error?
Answer:
subtracting 56 instead of adding (or adding wrong)
Step-by-step explanation:
She wrote ...
x - 56 = 230
x - 56 - 56 = 230 -56 . . . . correct application of the addition property*
x = 230 -56 . . . . . . . . . . . . incorrect simplification
Correctly done, the third line would be ...
x -112 = 174
This would have made Sherina realize that the error was in subtracting 56 instead of adding it. The correct solution would be ...
x - 56 + 56 = 230 + 56 . . . using the addition property of equality
x = 286 . . . . . . . . . . . . . . . . correct simplification on both sides
__
There were two errors:
1) incorrect strategy --- subtracting 56 instead of adding
2) incorrect simplification --- simplifying -56 -56 to zero instead of -112
We don't know whether you want to count the error in thinking as the first error, or the error in execution where the mechanics of addition were incorrectly done.
_____
* The addition property of equality requires the same number be added to both sides of the equation. Sherina did that correctly. However, the number chosen to be added was the opposite of the number that would usefully work toward a solution.
Answer:
D: Sherina should have added 56 to both sides of the equation.
Step-by-step explanation:
I got a 100% on my test.
I hope this helps.
Find the slope of the line passing through the points (9, 1) and (9,-4).
Answer:
slope is undefined
Step-by-step explanation:
(9, 1 ) and (9, - 4 )
Since the x- coordinates of the 2 points are 9, then the line is vertical and parallel to the y- axis with slope being undefined.
Slope is the change in y over the change in x.
Slope = (-4 - 1) / (9 -9) = -5/0 you cannot divide by 0,so the slope is undefined. This means it is a vertical line
One angle of a triangle measures 108°. The other two angles are congruent.
Enter and solve an equation to find the measure x of the congruent angles.
Andria wrote the following statements: Statement 1: If parallel lines have a transversal, then corresponding angles are congruent. Statement 2: A line has an infinite number of points extending in opposite directions. Which geometry term does each statement represent? (4 points) Statement 1: definition; Statement 2: theorem Statement 1: postulate; Statement 2: definition Statement 1: postulate; Statement 2: theorem Statement 1: theorem; Statement 2: postulate
Answer: Statement 1: postulate; Statement 2: definition
Step-by-step explanation:
A postulate is assumed to be a fact and used to derive conclusions about any argument .A definition is a brief explanatory statement of a term.A theorem is a statement that can be proved to be true by using given, definitions, postulates or prior proved theorems .Here, Statement 1:If parallel lines have a transversal, then corresponding angles are congruent.
which is a fact, and hence it is postulate.
Statement 2: A line has an infinite number of points extending in opposite directions.
which is an explanatory statement of a 'line', hence it is 'definition.
So the correct option is Statement 1: postulate; Statement 2: definition
Answer:statement 1 and statement 2 postulate
Step-by-step explanation:
A professor graded the final exams and found that the mean score was 70 points. Which of the following can you conclude?
A- All of the above.
B- The median score was 70 points.
C- 50% of the students scored below 70 points.
D- This would be a normal distribution.
Answer: C) 50% of the students scored below 70%
Step-by-step explanation:
Mean is the average. To find the mean (aka average) you add up all of the scores and divide by the number of tests.
B) The mean can be 70 without any test scoring 70% so B is not true.
A) Since B is not true, then A is not a valid option.
D) We don't know any of the other data so don't know if it is skewed left, skewed right, or normal. Therefore, option D is not true.
C) If the average is 70%, then half received grades above that score and half received grades below that score. So, option C is TRUE!
If (a, b, c) is a solution to the system of equations above, what is the value of c?
•-26
•-6
•6
•It cannot be determined from the information given
Answer:
Option (3)
Step-by-step explanation:
The given system of the equations is,
-2x + 4y - 3z = 10 ------(1)
x - 2y + z = 8 -------(2)
If the system of equations has the solution as (a, b, c),
Which shows,
x = a, y = b and z = c
Multiply equation (2) by 2 and add it to equation (1),
2(x - 2y + z) + -2x + 4y - 3z = 10 - 16
2x - 2x - 4y + 4y + 2z - 3z = 10 - 16
-z = -6
z = 6
Therefore, z = c = 6 will be the answer.
Option (3) will be the correct option.
Evaluate the expression: (-2) + (-44) + (18 - 23).
A) -17
B) - 19
C) 3
D) 19
Answer:
-51
Step-by-step explanation:
-46+(-5)
= -51
Answer:
the answer is -17
I hope this helps you
Can your help me please?
Answer:
(-5, 0) and (0,4)
Step-by-step explanation:
Given equation: -4x + 5y = 20
Sub. in the values
When x = -5 and y = 0 (-5,0),
[tex] - 4( - 5) + 5(0) = 20 [/tex]
When x = 0 and y = 4 (0,4),
[tex] - 4(0) + 5(4) = 20[/tex]
That's how I would do it, not sure if your school has another method. Hope this helps :)
Answer: x = -5 and y = 4
Step-by-step explanation: its the first option do you need me to exlain how cuz its multiple choice
determine the missing term x in the geometric sequence below
9,x,225
Answer:
45
Step-by-step explanation:
multiply 9 by 5 to get 45
then, multiply 45 by 5 to get 225
The geometric sequence is 5(previous number)
Aaron Lloyd what is a?
Answer:
Rugby lawyer
Step-by-step explanation:
Aaron is a partner in the firm’s dispute resolution division. He advises clients on a range of litigious and risk related matters, with particular expertise in the areas of corporate misconduct, white collar criminal and regulatory affairs, sports law and employment law. Aaron leads our sports law practice, and is a member of the firm’s health and safety, public law, and organisational integrity teams.
Well regarded by clients for his ability to analyse and strategise complex situations, Aaron is internationally recognised for his ability to implement pragmatic and commercial strategies to minimise risk and create opportunity. This ability has resulted in clients avoiding significant litigation and commercial consequences.
Aaron is an experienced advocate, having argued cases in the District Court, High Court, Employment Court, the Court of Appeal and Supreme Court of New Zealand, along with numerous tribunals.
He is recognised by international legal directories including by Chambers & Partners (Asia Pacific), Who’s Who Legal, Expert Guides, Best Lawyers and Doyles.
Before joining MinterEllisonRuddWatts Aaron practiced as a barrister with Paul Davison QC, and has lectured at the University of Auckland.
One side of a right triangle is known to be 12 cm long and the opposite angle is measured as 30°, with a possible error of ±1°. Use differentials to estimate the error in computing the length of the hypotenuse. (Round your answer to two decimal places.)
Answer:
estimated error=±0.725
Step-by-step explanation:
Side of the triangle= 12cm
Opposite of triangle x= 30
h= hypotenose side
Error= =±1
From trigonometry
Sin(x)=opposite/hypotenose
hypotenose=opposite/sin(x)
h=12/sin(x)
h=12Csc(x)
dh=-12Csc(x)Cot(x) dx...............eqn(1)
dx is the possible error in angle measurements
So we need to convert to radius
dx=±1°× (π/180)
=±1°(π/180)
Substitute x and dx into equation (1)
dh= - 12Csc30°Cot30°×[±(π/180)]
= -12(2)(√3)(±(π/180)
==±0.725
Therefore, estimated error=±0.725
can you help me with this homework please?
Answer:
hey I was wondering if you still needed help?
A recent national survey found that high school students watched an average (mean) of 7.1 movies per month with a population standard deviation of 1.0. The distribution of number of movies watched per month follows the normal distribution. A random sample of 33 college students revealed that the mean number of movies watched last month was 6.2. At the 0.05 significance level, can we conclude that college students watch fewer movies a month than high school students? State the null hypothesis and the alternate hypothesis.
Answer:
H0: μc ≤ μs Ha :μc > μs
Step-by-step explanation:
The null and alternate hypotheses can be stated as
H0: μc ≤ μs Ha :μc > μs one tailed test
Where
μc = Mean of college students watching movies in a month
μs = Mean of school students watching movies in a month
For one tailed test of α =0.05 the value of Z= ± 1.645
The critical region will be Z > ± 1.645
It is of importance to note that by rejecting the null hypothesis and accepting the alternate hypothesis we are automatically rejecting all values of mean that are greater than 7.1
Solve Logarithm 5(2^x+4)=15. Round to the nearest thousandth. A.1.089 B.2.415 C.0.657 D.3.982
[tex]5(2^x+4)=15\\2^x+4=3\\2^x=-1\\x\in\emptyset[/tex]
Answer:
no solutions
Step-by-step explanation:
5(2^x+4)=15
Divide each side by 5
5/5(2^x+4)=15/5
(2^x+4)=3
Subtract 4 from each side
2^x = 3-4
2^x = -1
This cannot happen so there are no solutions
Hi! quick question, whats the equation for this?
The sum of the angle measures of the polygon is 540°. Write and solve an equation to find the value of x.
[tex]\\ \sf\longmapsto 4x+4x+5x-7+5x+2+96=540[/tex]
[tex]\\ \sf\longmapsto 4x+4x+5x+5x-7+2+96=540[/tex]
[tex]\\ \sf\longmapsto 8x+10x-5+96=540[/tex]
[tex]\\ \sf\longmapsto 18x+91=540[/tex]
[tex]\\ \sf\longmapsto 18x=540-91=449[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{449}{18}[/tex]
[tex]\\ \sf\longmapsto x\approx2.4[/tex]
Answer:
x=25
Step-by-step explanation:
4x+5x-8+96+5x+2+4x=540
18x+90=540
18x=540-90=450
x=450/18=25
The table shows the proportion of US e-commerce revenue for 2016–2018 for each day of Thanksgiving weekend.
The greatest proportion of 2018 e-commerce revenue came on Cyber Monday, contributing one-third of the total 2018 e-commerce revenue. This statement is ___
Of 2016’s e-commerce revenue, $25 billion came on Black Friday. This statement is ____
Answer:
The greatest proportion of 2018 e-commerce revenue came on Cyber Monday, contributing one-third of the total 2018 e-commerce revenue. This statement is ✔ correct.
Of 2016’s e-commerce revenue, $25 billion came on Black Friday. This statement is ✔ incorrect— “25 percent” should replace “$25 billion.”
EDGE2021
The greatest proportion of 2018 e-commerce revenue came on Cyber Monday, contributing one-third of the total 2018 e-commerce revenue. This statement is correct.
Of 2016’s e-commerce revenue, $25 billion came on Black Friday. This statement is incorrect.
What is the E-commerce revenue?
The E-commerce revenue refers to the revenue collected from buying & sales of goods or services via the internet,
Now for the first statement,
We see that
The greatest proportion of 2018 e-commerce revenue came on Cyber Monday = 0.33
Total is 1.00
Therefore 0.33 is the 1/3 portion of total.
Hence, it is contributing one-third of the total 2018 e-commerce revenue.
Hence, statement one is correct.
For second statement,
Of 2016’s e-commerce revenue, $25 billion came on Black Friday.
⇒its 25 percent of the total e-commerce revenue.
Hence, statement two is incorrect.
Therefore,
The greatest proportion of 2018 e-commerce revenue came on Cyber Monday, contributing one-third of the total 2018 e-commerce revenue. This statement is correct.
Of 2016’s e-commerce revenue, $25 billion came on Black Friday. This statement is incorrect.
More about e-commerce sales :
https://brainly.com/question/16488578
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At what points do these graphs intersect
y=x²-x-6
y=x+2
Answer:
Solve algebraicallyEliminate y:
x² - x - 6 = x + 2x² - 2x = 8x² - 2x + 1 = 9(x - 1)² = 3²1) x - 1 = 3 ⇒ x = 4 ⇒ y = 62) x - 1 = -3 ⇒ x = -2 ⇒ y = 0The solution is:
(-2, 0), (4, 6)Solve graphicallySee the attached
Answer:
[tex]thank \: you[/tex]
logx - logx-1^2=2log(x-1)
Answer:
x is approximately 2.220744
Step-by-step explanation:
This can be simplified a little using properties of logarithms, and then solve it by graphing:
[tex]log(x)-log(x-1)^2=2\,log(x-1)\\log(x)-2\,log(x-1)=2\,log(x-1)\\log(x)=4\,log(x-1)[/tex]
So we use a graphing tool to find the intersection point of the graph of [tex]log(x)[/tex], and the graph of [tex]4\,log(x-1)[/tex]
Please see attached image for the graph and solution.
The value of x is approximately 2.220744
Answer:
x = 2.32011574011
Step-by-step explanation:
The problem with your original equation is that it is a long way of saying ...
log(x) -log(x) -1 = 2log(x-1)
0 -1 = 2log(x-1)
which has the solution ...
-1/2 = log(x -1)
1/√10 = x -1
x = 1 + 1/√10 ≈ 1.3162278
__
We have asked for clarification, and what we got was ...
[tex]\log{(x)}-\log{(x-1^2)}=2\log{(x-1)}[/tex]
which, again, is a long way of saying ...
[tex]\log{(x)}-\log{(x-1)}=2\log{(x-1)}[/tex]
The other reasonable interpretation of your 'clarified' equation is ...
[tex]\log{(x)}-\log{((x-1)^2)}=2\log{(x-1)}[/tex]
which you already have an answer to. You have declared that a "misconception."
So, we are left with the interpretation that the equation you want a solution to is ...
[tex]\log{(x)}-\log{(x-1)}=2\log{(x-1)}[/tex]
_____
When solving these graphically, I like to write the equation as a function whose zero(s) we're trying to find. For this, when we subtract the right side, we get ...
[tex]f(x)=\log{(x)}-3\log{(x-1)}[/tex]
A graphing calculator shows that f(x) = 0 when ...
x ≈ 2.32011574011
__
If you don't like my interpretation, check out the second attachment. It has your x-1² as the argument of the middle term. You can see that the calculator interpreted that the same way I did (as required by the order of operations).
Which of the following describes a situation in which the total distance a ball travels is zero meters from its starting point? (5 points)
a
b
The ball first bounces up to a height of 4 meters, and then falls 2 meters towards the ground.
The ball first bounces up to a height of 2 meters, and then falls 2 meters towards the ground.
The ball first bounces up to a height of 2 meters, and then falls 4 meters towards the ground.
The ball first bounces up to a height of 4 meters, and then falls 0 meters towards the ground.
С
d
Answer:
The ball first bounces up to a height of 2 meters, and then falls 2 meters towards the ground
Step-by-step explanation: