Answer:
0
Step-by-step explanation:
Assuming the problem is:
"lim x-> 4 f(x)=5 lim x-> 4 g(x)=0 and lim x-> 4 h(x)=-2, then find lim x->4 (fg)(x)"
lim x->4 (fg)(x)
Since we know the limits of f and g at x=4 exist we can write the limit as:
lim x->4 f(x) lim x->4 g(x) (since fg(x) means f times g of x.)
5(0)
0
if lim x-> 4 f(x)=5 lim x-> 4 f g(x)=0 and lim x-> 4 f h(x)=-2, then lim (fg)(x) 0
What is inequality?inequality the relationship between two expressions that are not equal, employing a sign such as ≠ “not equal to,” > “greater than,” or < “less than.”.
Assuming the problem is:
"lim x-> 4 f(x)=5 lim x-> 4 g(x)=0 and lim x-> 4 h(x)=-2, then find lim x->4 (fg)(x)"
lim x->4 (fg)(x)
Since we know the limits of f and g at x=4 exist we can write the limit as:
lim x->4 f(x) lim x->4 g(x) (since fg(x) means f times g of x.)
=5(0)
=0
Hence the lim x-> 4 f(x)=5 lim x-> 4 f g(x)=0 and lim x-> 4 f h(x)=-2, then lim (fg)(x) 0
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Use the method of cylidrincal shells to find the volume of the solid generated by rotating the region bounded by the curves y=6x-2x^2 and y=x^2 about the y axis.
Find where the two curves intersect:
y = 6x - 2x ²
y = x ²
6x - 2x ² = x ² → 3x ² - 6x = 3x (x - 2) = 0 → x = 0 and x = 2
Now, for a shell of radius x units away from the axis of revolution, the height of the shell would be the vertical distance between the upper curve and the lower curve. For 0 ≤ x ≤ 2, we have 6x - x ² ≥ x ², so the height of any given shell is (6x - x ²) - x ² = 6x - 2x ².
Then volume of the solid is
[tex]\displaystyle 2\pi \int_0^2 x(6x-2x^2)\,\mathrm dx = 2\pi \left(2x^3-\frac{x^4}2\right)\bigg|_0^2 = \boxed{16\pi}[/tex]
A couple's anniversary dinner bill was $126.50. They tipped their waiter 20% of the bill. What was the total bill including tip?
Answer:
$151.80 was the total bill including tip.
Step-by-step explanation:
$126.50 x 20% = $25.30
$126.50 + $25.30 = $151.80
All but one of the following cannot be used internationally
Answer:
I think national flag cannot be used internationallyStep-by-step explanation:
hope it helps youHow many solutions dose x+y=10 x+y=12
Answer:
There are infinite solutions.
Think about it. The equation says essentially:
12 + any number = 12 + any number.
y + 12 = y + 10 + 2
y + 12 = y + 12
y - y = 12 - 12
0 = 12 - 12
0 = 0
Step-by-step explanation:
Find the equation of the line passing through the point (–1, 5) and perpendicular to the line y = – 3x + 4.
Question 8 options:
A)
3y = x + 16
B)
y = –3x + 2
C)
y = –3x + 8
D)
3y = –x + 16
9514 1404 393
Answer:
A) 3y = x + 16
Step-by-step explanation:
The equation of a perpendicular line can be found by swapping the x- and y-coefficients and negating one of them. The constant will be chosen to match the given point.
Swapping coefficients, we get ...
-3y = x + c
Negating the y-coefficient gives ...
3y = x + c
Filling in the given point, we have ...
3(5) = -1 + c
16 = c
The equation of the perpendicular line can be written as ...
3y = x + 16 . . . . matches choice A
_____
Note that choice A is the only equation that gives a line with positive slope. The given equation has negative slope, so its perpendicular must have positive slope.
Litter such as leaves falls to the forest floor, where the action of insects and bacteria initiates the decay process. Let A be the amount of litter present, in grams per square meter, as a function of time t in years. If the litter falls at a constant rate of L grams per square meter per year, and if it decays at a constant proportional rate of k per year, then the limiting value of A is R = L/k. For this exercise and the next, we suppose that at time t = 0, the forest floor is clear of litter.
Required:
If D is the difference between the limiting value and A, so that D = R - A, then D is an exponential function of time. Find the initial value of D in terms of R.
Answer:
D = L/k
Step-by-step explanation:
Since A represents the amount of litter present in grams per square meter as a function of time in years, the net rate of litter present is
dA/dt = in flow - out flow
Since litter falls at a constant rate of L grams per square meter per year, in flow = L
Since litter decays at a constant proportional rate of k per year, the total amount of litter decay per square meter per year is A × k = Ak = out flow
So,
dA/dt = in flow - out flow
dA/dt = L - Ak
Separating the variables, we have
dA/(L - Ak) = dt
Integrating, we have
∫-kdA/-k(L - Ak) = ∫dt
1/k∫-kdA/(L - Ak) = ∫dt
1/k㏑(L - Ak) = t + C
㏑(L - Ak) = kt + kC
㏑(L - Ak) = kt + C' (C' = kC)
taking exponents of both sides, we have
[tex]L - Ak = e^{kt + C'} \\L - Ak = e^{kt}e^{C'}\\L - Ak = C"e^{kt} (C" = e^{C'} )\\Ak = L - C"e^{kt}\\A = \frac{L}{k} - \frac{C"}{k} e^{kt}[/tex]
When t = 0, A(0) = 0 (since the forest floor is initially clear)
[tex]A = \frac{L}{k} - \frac{C"}{k} e^{kt}\\0 = \frac{L}{k} - \frac{C"}{k} e^{k0}\\0 = \frac{L}{k} - \frac{C"}{k} e^{0}\\\frac{L}{k} = \frac{C"}{k} \\C" = L[/tex]
[tex]A = \frac{L}{k} - \frac{L}{k} e^{kt}[/tex]
So, D = R - A =
[tex]D = \frac{L}{k} - \frac{L}{k} - \frac{L}{k} e^{kt}\\D = \frac{L}{k} e^{kt}[/tex]
when t = 0(at initial time), the initial value of D =
[tex]D = \frac{L}{k} e^{kt}\\D = \frac{L}{k} e^{k0}\\D = \frac{L}{k} e^{0}\\D = \frac{L}{k}[/tex]
assume that the total surface area of the cuboid is 200cm^2 work out the volume of the cuboid
Answer: 187.5
Step-by-step explanation:
200 - 2 x 5 x 5 = 50
200 - 50 = 150
150/ 4 = 37. X 5 = 187.5
- hope this helps
Miguel is staining a wooden box. To determine how much stain he needs, he'll need to find the surface area of the box. True False
Answer:
True
Step-by-step explanation:
Miguel is staining a wooden box. he needs to find the surface area of the box
We have given that,
Miguel is staining a wooden box.
To determine how much stain he needs, he'll need to find the surface area of the box.
We have to determine statement is true or false.
What is the surface area of the box?
To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
Therefore he needs to find the surface area of the box
and it is a true statement.
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Step-by-step explanation:
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PLS HELP WILL GIVE BRAINLESS
Given 4 < a < 5, 2 < b < 4 Find: a / b
Answer:
I hope this helps!
Step-by-step explanation:
4<a<5
2<b<4 multiply
4x2 < axb < 5x4
8<ab < 20
Answer:
1<a/b<2.5
Step-by-step explanation:
bro you're gonna give me brainless ://
We are given 4<a<5 and 2<b<4 and are asked to find a/b.
Since there is a wide range of values of numbers from 4 to 5 and 2 to 4, there is no definite answer to this. However, we can take the most extreme values here and write them on the opposite ends of the inequality.
For example, the lowest value here is >4/4 (>1) because that is the smallest value from the first inequality divided by the largest value from the second inequality. The other extreme is the biggest value possible, which is <5/2 (<2.5).
Given these extremes, we can now rewrite the inequality.
(smallest value)<a/b<(largest value)
1<a/b<2.5
Through extensive data collection, quality control experts have verified that the true mean weight of a wrapped Starburst candy is 5.1 grams, as advertised on the package. However, in a class activity where you selected and weighed 8 wrapped Starburst candies you obtained a p-value of 0.003 and concluded that the true mean weight of Starburst candies is not as advertised. What type of error was potentially made in this hypothesis test
Answer:
Type 1 error.
Step-by-step explanation:
H0 : μ = 5.1
H1 : μ ≠ 5.1
The Pvalue of the test = 0.003
Decision made by the researcher was conclude that mean weight is not as advertised, that is the researcher rejected the Null hypothesis.
However, when the Pvalue is < α - value , we reject the null ; The type of error the researcher could have made is that ; The mean weight may be truly as advertised, Hence, leading us to make a false positive error, thus is rejecting a true null. This is a TYPE 1 error.
Does anybody know the answer to this question
Answer:
A
Step-by-step explanation:
A:Consecutive interior angles
B:Vertical angles
C:Alternate exterior angles
D:Corresponding angles
Answer:
D: corresponding angle
hope it helps.
Answer:
corresponding angles
Step-by-step explanation:
hope it is helpful ><
A store pay $120 for a bicycle. The store has a 60% markup policy. What is the selling price of the bicycle?
Answer:
$192
Step-by-step explanation:
The sum of 2 numbers is 11 and the difference is 5
Answer:
let no. be x and y.
we have
x+y=11.......(1)
x-y=5........(2)
adding equation 1&2
x+y+x-y=11+5
2x=16
x=16/2=8
again
8-y=5
y=8-5=3
:.
x=8,y=3
David’s watch broke. He decides to get it fixed instead of replacing it. The total cost to repair the watch can be represented by 0.07(45h) + 45h, where h represents the number of hours it takes to repair the watch. What part of the expression represents the amount of tax David has to pay? Explain.
If there were five times as many children as adults at the picnic and there were at least 120 people at the picnic, how many adults and children were at the picnic?
Answer:
20 adults
100 Children
Step-by-step explanation:
Answer: 20 adults and 100 children
Step-by-step explanation:
a = adults, c = children
120 = a + c
c = 5a
120 = a + 5a
120 = 6a
20 = a
20 times 5 is 100 so 100 children
find the asymptotes, domain, range and end behavior and sketch the parent graph with the translated graph
Answer:
27) x = 2^(y) – 5.
Asymptote: x = -5.
D: x > -5; (-5, infinity).
R: -infinity < f(x) < infinity; ARN;
(-infinity, infinity).
x → -infinity, f(x) → -infinity.
x → +infinity, f(x) → +infinity.
________________________
28) x = 2^-(y–3).
Asymptote: x = 0.
D: x > 0; (0, infinity).
R: -infinity < f(x) < infinity; ARN;
(-infinity, infinity).
x → -infinity, f(x) → +infinity.
x → +infinity, f(x) → -infinity.
________________________
29) x = 4^(y–2) + 1.
Asymptote: x = 1.
D: x > 1; (1, infinity).
R: -infinity < f(x) < infinity; ARN;
(-infinity, infinity).
x → -infinity, f(x) → -infinity.
x → +infinity, f(x) → +infinity.
________________________
What is the value of the second quartile
Answer:
the value is 20 out of 100
Step-by-step explanation:
HELPP!!! 65 points GIVIN
its 3 1/4 you will thank me later :)
Answer:
the third one
3 1/4
Step-by-step explanation:
Marking as brainliest
So basically I need u to in ur on words for the reasoning to explain to me how I got my answer. An the answer is in the second box I circled it btw this is 9th grade algebra!
you knew that it had to be a total of $60.60 and that the flat cost of the plan is $48. so you subtracted the flat cost from the total cost to get the amount that could be spent on gigabytes of data. since you knew that the gigabytes cost $3 each, you divided the remaining budget (12.60) by $3 and got the number of gigabytes that she can get.
sorry if that's confusing or wordy! hope it helps!
Plz help this is due today i would have done it myself but i totally forgot about these so PLZ HELP AND NO LINKS AND NO GROSS PICTURES OR I REPORT.
Answer:
Answer B will be the best answer for your question.
Step-by-step explanation:
Polygons usually have straight sides, but this one does not.
For which situation could flipping a coin be used to generate a random sample
A: To predict if a machine will be defective or not. B: To predict student performance on an exam. C: To predict the number of peanuts in a container. D: to predict which of four players will win a gold tournament.
I put A but Im not sure.
Answer: B
because its 50/50 chance you'll have heads or tails
Can someone help me with this question plz show work.
Answer:
d
Step-by-step explanation:
V=whl=3·4·6=72
D. 6*4*6≠72
Answer:
D 6x6x4
Step-by-step explanation:
the dimensions are 3x6x4 so 6x6x4 is not the volume of this rectangular prism
Choose the sentence that is out of sequence.
Mary Jo began reading The Alphabet Book.
Mother put Jimmy to bed.
Jimmy helped read.
Jimmy fell asleep.
Answer:
C.
Step-by-step explanation:
Given a polynomial f(x), if (x + 7) is a factor, what else must be true
Answer:
Step-by-step explanation:
at x = -7, the polynomail function f(x) has a zero (x-intercept)
Write the equation of the circle with the given information.
Center: (5, -13)
Radius: 11
Answer:
(x - 5)² + (y + 13)² = 121
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Here (h, k ) = (5, - 13 ) and r = 11 , then
(x - 5)² + (y - (- 13))² = 11² , that is
(x - 5)² + (y + 13)² = 121
sum of -4/5 and -5/12. please answer.
Answer:
[tex]- 1 \frac{13}{60} [/tex]
Step-by-step explanation:
[tex] - \frac{4}{5} + - \frac{5}{12} \\ \frac{ - 48 - 25}{60} \\ \frac{ - 73}{60} \\ = - 1 \frac{13}{60} [/tex]
Hope this helps you.
Can I have the brainliest please?
this is a nice question for 69 points (nice)
What's 34.5 x 2
A. 45
B. nice
C. 78
D. 50
Answer:
34.5 × 2 = 69
Step-by-step explanation:
pretty self explanatory
What is the volume of a rectangular sandbox that is 4 feet by 5 feet by 2 feet?
(A) 14ft
(B) 11ft
(C) 40ft
(D) 22ft
Answer:
40 ft
Step-by-step explanation:
lxbxh is 40 hope it helps have a great day Mark me as brainiest please
