Answers
Answer:
Step-by-step explanation:
The answer is D, the function approaches 1 as x approaches +- infinity. We can divide each term by x^2. We will get the following:
[tex]\frac{1-4/x^2}{1-9/x^2}[/tex]
as x goes to infinity, the -4/x^2 and -9/x^2 go to 0. To the equation just becomes 1/1. So the answer is 1.
Related Questions
Trig ratio and finding the missing angle pair.
Answers
Hello!
This is a question relating trigonometric ratios and a missing angle.
Here, since we are given all three sides of the triangle, we can use any of the three trigonometric ratios, sine, cosine, or tangent to solve this problem.
I'll be using the sine ratio for this problem.
The sine of an angle is the ratio between the triangle's opposite side and its hypotenuse.
Meaning the following equation could be set up.
[tex]sin(\theta)=\frac{45}{75}[/tex]
Now, we can just solve for theta.
[tex]\theta=sin^{-1}(\frac{45}{75})[/tex]
Make sure you're in degrees when you're solving this problem.
[tex]\theta=36.870[/tex]
Hope this helps!
Polydactyl cats are cats with extra toes. A researcher believes that the proportion of the population of polydactyl cats in region A is greater than the proportion in region B. Let pB represent the population proportion of polydactyl cats in region A, and let pB represent the population proportion of polydactyl cats in region B. Which of the following are the appropriate hypotheses to test the researchers belief?
A. H0 : PA - PB = 0
Ha : PA is not equal to 0.
B. H0 : PA - PB = 0
Ha : PA - P > = 0
C. H0 : PA - PB = 0
Ha : PA - 0 < 0
D. H0 : P^a - P^b = 0
Ha : P^a - P^b is not equal to 0
E. H0 : P^a - P^b = 0
Ha : P^a - P^b > = 0
Answers
Answer:
The answer is "Option B".
Step-by-step explanation:
The null hypothesis relates to either the initial reality in which no significant statistically meaningful evidence stays; else the equal variances which would be the reverse of the zero become preferred rather than the zero. From the above case, that scientist claimed that 'the proportion of main coon cats' community in region A surpassed these in region B.' The alternate theory is Ha: PA - PB > = 0 whereas the Null is from the idea that Polydactyl cats were the same as in areas A and B.
On the Navajo Reservation, a random sample of 218 permanent dwellings in the Fort Defiance region showed that 60 were traditional Navajo hogans. In the Indian Wells region, a random sample of 139 permanent dwellings showed that 19 were traditional hogans. Let p1 be the population proportion of all traditional hogans in the Fort Defiance region, and let p2 be the population proportion of all traditional hogans in the Indian Wells region.
(a) Find a 95% confidence interval for p1 – p2. (Use 3 decimal places.)
lower limit
upper limit
(b) Examine the confidence interval and comment on its meaning. Does it include numbers that are all positive? all negative? mixed? What if it is hypothesized that Navajo who follow the traditional culture of their people tend to occupy hogans? Comment on the confidence interval for p1 – p2 in this context.
Because the interval contains only positive numbers, we can say that there is a higher proportion of hogans in the Fort Defiance region.Because the interval contains both positive and negative numbers, we can not say that there is a higher proportion of hogans in the Fort Defiance region. We can not make any conclusions using this confidence interval.Because the interval contains only negative numbers, we can say that there is a higher proportion of hogans in the Indian Wells region.
Answers
Answer:
Step-by-step explanation:
On the Navajo Reservation, a random sample of 218 permanent dwellings in the Fort Defiance region showed that 60 were traditional Navajo hogans. In the Indian Wells region, a random sample of 139 permanent dwellings showed that 19 were traditional hogans. Let p1 be the population proportion of all traditional hogans in the Fort Defiance region, and let p2 be the population proportion of all traditional hogans in the Indian Wells region.
(a) Find a 95% confidence interval for p1 – p2. (Use 3 decimal places.)
lower limit
upper limit
(b) Examine the confidence interval and comment on its meaning. Does it include numbers that are all positive? all negative? mixed? What if it is hypothesized that Navajo who follow the traditional culture of their people tend to occupy hogans? Comment on the confidence interval for p1 – p2 in this context.
Because the interval contains only positive numbers, we can say that there is a higher proportion of hogans in the Fort Defiance region.Because the interval contains both positive and negative numbers, we can not say that there is a higher proportion of hogans in the Fort Defiance region. We can not make any conclusions using this confidence interval.Because the interval contains only negative numbers, we can say that there is a higher proportion of hogans in the Indian Wells region.
Help quick pleaseee.........
Answers
Answer:
a) 341
b) 7243
c) 11018
d) 33000
Sorry, Here watch this
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Answers
u wanna make yards into feet.
1 yard = 3 feet
since there is 14
14x3 = 42 feet
and since there is still 2 feet
u add them 42+2
44 feet (b)
Answer:
44
Step-by-step explanation:
In ALJK, k = 480 cm, j = 420 cm and LJ=43°. Find all possible values of ZK, to the
nearest 10th of a degree.
Answers
Answer:
[tex]K \approx 51.2^\circ[/tex]
[tex]K \approx 128.8^\circ[/tex]
Step-by-step explanation:
Given
[tex]k = 480[/tex]
[tex]j = 420[/tex]
[tex]\angle J = 43^\circ[/tex]
Required
Find the measure of K
The value of K ranges from: [tex]0^\circ \le K \le 180^\circ[/tex]
To do this, we apply sine rule;
[tex]\frac{j}{\sin J} = \frac{k}{\sin K}[/tex]
So, we have:
[tex]\frac{420}{\sin 43} = \frac{480}{\sin K}[/tex]
Cross multiply
[tex]\sin K * 420 = \sin 43 * 480[/tex]
Make sin K the subject
[tex]\sin K= \frac{\sin 43 * 480}{420}[/tex]
[tex]\sin K= \frac{0.6820 * 480}{420}[/tex]
[tex]\sin K= 0.7794[/tex]
Take arc sin of both sides
[tex]K = sin^{-1}(0.7794)[/tex]
[tex]K \approx 51.2^\circ[/tex]
Recall that: [tex]0^\circ \le K \le 180^\circ[/tex]
The other possible value of K is:
[tex]K \approx 180 - 51.2[/tex]
[tex]K \approx 128.8^\circ[/tex]
8 - 6 ÷ 3 + 11 =
what is the answer
Answers
Answer:
17
Step-by-step explanation:
Answer:
17
Step-by-step explanation:
You would use pemdas to solve this so since there is no parentheses, exponents, or multiplication you would do the division first and then the subtractions then addition because the subtraction comes first in this equation. 6 divided by 3 is 2 then 8 - 2 = 6 and then 6 + 11 = 17
Write linear equations in slope intercept form using the graph...
Answers
Answer:
Y = - x + 4
Step-by-step explanation:
Part B if the height of each prism is 10 Cm what is the surface area prism
Answers
Answer:
Prism A:
[tex]Area = 288cm^2[/tex]
Prism B:
[tex]Area =250cm^2[/tex]
Step-by-step explanation:
Given
See attachment for prisms
[tex]Height(h) = 10cm[/tex]
Required
Determine the surface area of both prisms
Prism A is triangular and as such, the surface area is:
[tex]Area = 2 * A_b + (a + b + c) * h[/tex]
Where
[tex]A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}[/tex]
and
[tex]s = \frac{a + b + c}{2}[/tex]
Such that a, b and c are the lengths of the triangular sides of the prism.
From the attachment;
[tex]a = 8; b =6; c =10[/tex]
So, we have:
[tex]s = \frac{a + b + c}{2}[/tex]
[tex]s = \frac{8 + 6 + 10}{2}[/tex]
[tex]s = \frac{24}{2}[/tex]
[tex]s = 12[/tex]
Also:
[tex]A_b = \sqrt{s * (s - a) * (s -b) * (s - c)}[/tex]
[tex]A_b = \sqrt{12 * (12 - 8) * (12 - 6) * (12 - 10)}[/tex]
[tex]A_b = \sqrt{576}[/tex]
[tex]A_b = 24[/tex]
So:
[tex]Area = 2 * A_b + (a + b + c) * h[/tex]
[tex]Area = 2 * 24 + (8 + 6 + 10) * 10[/tex]
[tex]Area = 288cm^2[/tex]
Prism B is a rectangular prism. So, the area is calculated as:
[tex]Area = 2 * (ab + bh + ah)[/tex]
From the attachment
[tex]a = b = 5[/tex]
[tex]h =10[/tex]
So:
[tex]Area =2 * (5 * 5 + 5 * 10 + 5 * 10)[/tex]
[tex]Area =250cm^2[/tex]
Miguel is posting photos on a school website. He has 48 photos, and he is allowed to
use 12 pages. He wants to put the same number of photos, p, on each page.
1) Which equation represents the situation?
Answers
Answer:
12p=48
Step-by-step explanation:
HELP. photo added. answers are 45, 20 , it 22.5
Answers
Answer:
22.5°
Step-by-step explanation:
We know that the measure of straight line is 180° . Therefore the sum of all angles will be 180° .
⇒ 90° + x + 3x = 180°
⇒ 90° + 4x = 180°
⇒ 4x = 90°
⇒ x = 90°/4
⇒ x = 22.5°
Hence the value of x is 22.5°How much work is needed to move a 40 pound box a distance of 2 feet?
????-foot pounds
Answers
Answer:
80-foot pounds
Step-by-step explanation:
As per the given data, the work needed to move the 40 pound box a distance of 2 feet is 79.86 foot-pounds.
What is work done?In physics, work is defined as the product of force and displacement, where force is the applied force and displacement is the distance moved by the object in the direction of the applied force.
To calculate the work needed to move a 40 pound box a distance of 2 feet, we need to use the formula:
Work = Force x Distance x Cos(theta)
where Force is the amount of force applied to move the box, Distance is the distance moved, and Cos(theta) is the cosine of the angle between the force vector and the direction of motion.
Assuming that the force is applied in the same direction as the motion, the angle between the force vector and the direction of motion is 0, and thus Cos(0) = 1. Therefore, the formula simplifies to:
Work = Force x Distance
We are given that the box has a weight of 40 pounds. Since weight is a type of force, we can use the formula:
Force = Mass x Acceleration due to gravity
where Mass is the mass of the box and Acceleration due to gravity is the gravitational acceleration constant, which is approximately 32.2 feet per second squared.
Converting the weight of the box from pounds to slugs (the unit of mass in the English system of units) gives:
Mass = Weight / Acceleration due to gravity = 40 pounds / 32.2 feet per second squared = 1.24 slugs
Therefore, the force required to move the box is:
Force = Mass x Acceleration due to gravity = 1.24 slugs x 32.2 feet per second squared = 39.93 pounds-force
Finally, we can calculate the work needed to move the box a distance of 2 feet as:
Work = Force x Distance = 39.93 pounds-force x 2 feet = 79.86 foot-pounds
Therefore, the work needed to move the 40 pound box a distance of 2 feet is 79.86 foot-pounds.
For more details regarding work done, visit:
https://brainly.com/question/13662169
#SPJ3
What is the value of the expression -3(3+2)
Answers
Answer:
-15
Step-by-step explanation:
What is the length of AP?
1) 10
2) 12
3) 17
4) 24
Answers
Answer:
4) 24
Step-by-step explanation:
OA = OB = 7 ( radius )
OP = OB + BP
= 7 + 18
OP = 25
In triangle OPB,
By Pythagoras theorem,
( OP )² = ( OA )² + ( AP )²
( AP )² = ( OP )² - ( OA )²
= 25² - 7²
= 625 - 49
( AP )² = 576
AP = 24
Answer:
your answer will be 24
Step-by-step explanation:
∠OAP=90°
OA=OB=7
[tex]OA^{2} +Ap^{2} =OP^{2} \\\\7^{2} +Ap^{2} =(7+18)^{2} \\\\Ap^{2} =25^{2} -7^{2} =576\\\\AP=\sqrt{576} =24\\\\Ap=24[/tex]
hope it helps
have a great day!!
PLEASE HELP THIS IS VERY IMPORTANT I WILL GIVE YOU BRAIN THING IF ITS CORRECT (you can use a calculator if you want)
Answers
9514 1404 393
Answer:
BA, EDStep-by-step explanation:
Yes, it is very important. The idea here is that the decimal point in division problems like these can be moved the same number of places in the same direction in each number without changing the result.
__
1. Without a calculator, this is about 8/5, which you know to be more than 1 and less than 4. The only suitable answer choice is the correct one:
B 1.645 ft.
__
2. Moving the decimal point 1 place to the left in both numbers, we have ...
(892×10) ÷ (8×10) = 8290 ÷ 80 . . . . matches A
Moving the decimal point 3 places to the left in both numbers, we have ...
(892×0.001) ÷ (8×0.001) = 0.892 ÷ 0.008 . . . . matches E
The other choices did something other than move the decimal point the same number of places. (Your calculator can verify this.)
__
3. Moving the decimal point 3 places to the right, we have ...
(4367×1000) ÷ (0.004×1000) = 4,367,000 ÷ 4 ≈ 1,000,000
_____
Additional comment
For numbers like the ones in problem 3 that differ substantially in magnitude, it can work well to adjust the decimal points in both numbers so the divisor is between 1 and 10. This lets you easily estimate the position of the decimal point in the quotient.
Of course, if you're doing long division by hand, you always adjust the decimal points so the divisor is an integer (possibly with no trailing zeros).
please tell me please
Answers
Answer: H
Step-by-step explanation: H. Its H
Question 4:
QA: once is the depth of each diver for three minutes from now
QB: in how many minutes will the assistant be 33.3 m below the surface
QC: according to the algebraic model, in how many minutes will the divers be at the same depth
Answers
Answer:
a. Jacques will be 46.4m below the surface and his assistant will be 78.1m below the surface.
b. 10 minutes
c. 6 minutes
Step-by-step explanation:
Let the equation for Justin's motion be J(x)=-13.9-7.5x (where J(x) is his distance from the surface in metres and x is time in minutes), because he starts off 13.9m below the surface and descends 7.5m every minutes.
Let the equation for the assistant be a(x)=-97.3=+6.4x (where a(x) is his distance from the surface in metres and x is time in minutes), because he starts off 97.3m below the surface and ascends 6.4m every minutes.
a.
J(x)=-13.9-7.5x
J(3)=-13.9-7.5(3)=-13.9-22.5=-36.4
a(x)=-97.3=+6.4x
a(3)=-97.3+6.4(3)=-97.3+19.2=-78.1
b.
a(x)=-97.3=+6.4x
-33.3=-97.3=+6.4x
64=6.4x
x=10
c.
when divers are at the same depth, J(x)=a(x)
J(x)=a(x)
-13.9-7.5x=-97.3=+6.4x
83.4=13.9x
x=6
Evaluate the math problem
Answers
Answer:
b. 25
Step-by-step explanation:
The square root cancels out
and you divide only 100 and 4
Answer:
5 or 25
Step-by-step explanation:
I first got the 25 but when I tried a different formula to make sure it's correct I got 5.
help me!!! HELP ME!!!! ME!!!!!
Answers
Answer: 11,921,360
Step-by-step explanation:
Answer:
Gay?
Step-by-step explanation:
What amount of fencing (in feet) is needed?
(b)What is the total cost (in dollars) of the fencing if it costs $1.69 per foot?
Answers
Perimeter= 770 ft
770 x 1.69= 1301.3
Farmer Watson would end up spending $1,301.30 on the fence
a car travels 60km in 36minutes.At the same average speed, how far will it travel in 1 hour 12 minutes
Answers
Answer:
120km
Step-by-step explanation:
1hr 12 min is double 36 minutes
so just double 60
What is the equation of a circle with center (2, 3) that passes through the point (5, 3)
Answers
Answer:
(x−2)^2+(y+1)^2=26
Step-by-step explanation:
https://socratic.org/answers/456712
Step by step please
Please
Answers
Answer:
137/1000
Step-by-step explanation:
Because we have 3 numbers after 0....
hope it helps
What is the slope of the terminal ray?
Answers
Answer:
-1.52
-0.990 radians
No
2.15 radians
Step-by-step explanation:
The slope is equal to the y-coordinate/x-coordinate = -32/21 = -1.52
Then, tan^-1(m)=tan^-1(-32/21)=-0.990 radians
This does not give the correct value of theta, however.
The correct value of theta is tan^-1(-32/21)+pi=2.15 radians
FOR BRAINLIST!!
While building the White House model for the
iconic movie Independence day the movie makers
had to use a scale drawing in which the height of
the scale was 2 feet and the actual height of the
White house was 70 feet. If the actual length of the
white house is 168 feet, what is the length of the
scale model in feet?
А.
4.8 ft
B.
1.2 ft
5 ft
58.8 ft
Answers
Answer:
4.8
Step-by-step explanation:
Since the scale is 2 feet and the real is 70 to find the cale factor you do 70/2. Since the answer to that is 35 the scale factor is 35. SO to find tha drawing scale factor in feet you do 168/35 to get 4.8,
Plz help me in math problem Its easy I just want to know how to solve this equation.
Answers
180=6x+40-17-5
198=6x
x33
help plzzzzzz!!!!!!!
Answers
Answer:
just count how many shapes like the front triangle is one face
Answer:
2 triangle faces, 3 rectangle faces. Thank me later
Please help me with this ASAP ASAP please please help please please
Answers
Answer:
Step-by-step explanation:
For the lateral area we have to find the perimeter:
p = 2 x 8 x π
p = 16 π
now we can find it
LA = p x height
LA = 16 π x 3 = 48 π
for find the the surface area we have to find the base area
Base area = radius^2 π
base area = 8^2 π = 64 π
now can we find it
SA = 2 x base area + LA
SA = 2 x 64π + 48π = 128π + 48π = 176π
V = base area x height
V = 64π x 3 = 192 π
Find the x in each triangle
HELP NOW!!!! PLSSS
Answers
Answer:
8 CM
Step-by-step explanation:
(Hypotenuse)²=(Base)²+(Height)²
10²=X+6².
100=X+36
100-36=X ( by transposition method )
√64=X
8=X
Helene paid back $100 in the Month 1 of her loan. In each month after
that, Helene paid back $50. The graph shows the sequence. Write an
explicit rule, using function notation, to model the situation.
Answers
F(x)= -50x-100