The mass of the rod is 140 grams. If lim f(x) = lim g(x) = L, then lim [f(x) - g(x)] = lim f(x) - lim g(x) = L - L = 0. The correct option is (i) equal 0.
To find the mass of the rod, we can integrate the linear density function over the length of the rod:
m = ∫0^100 (7/√x) dx
Using the power rule of integration, we can simplify this expression:
m = 14[√x]0^100
m = 14(10 - 0)
m = 140 grams
Therefore, the mass of the rod is 140 grams.
As for the multiple-choice question, if lim f(x) = lim g(x) = L, then we can use the limit laws to evaluate the limit of their difference:
lim [f(x) - g(x)] = lim f(x) - lim g(x) = L - L = 0
So the answer is (i) equal 0.
This result holds true for any two functions with the same limit as x approaches a particular value or infinity. The limit of their difference will always be equal to the difference of their limits, which is zero in this case. Therefore, the answer is not dependent on the specific functions f and g.
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I need help I can’t understand having the answer is going to help a lot
Answer:
Step-by-step explanation:
35[tex]\frac{1}{2}[/tex]÷1[tex]\frac{1}{4}[/tex]=28.4
does anyone know the answer??
Answer:
100.00
Step-by-step explanation:
x=number of months until the costs are the same
50 + 20x = 25 + 30x
25 = 10x
x = 2.5 months
50 + 2.5(20) =$100.00
1/2x + 7 = x + 13 solution
Answer:
-3
Step-by-step explanation:
My yard is 2730 square feet. It’s base is 65 feet. What is the height.
Answer: Your height is 42
Step-by-step explanation: 2730 divided by 65 would by 42
Answer:
area of rectangle is product of base×height.or length×breadth
area of rectangle= base ×height
2730 feet²=65×height
2730/65=height
42feet=height.
Can someone please give me the answers
Answer:
1) 3
2)9
3)18
4)18k
5)18 and k
6)k/3
7)k
8)3
9)9 + k/3
10) 18k - 9
Please help me find the values of z and x!
Answer:
The answer would be 299
Step-by-step explanation: Just plug in 74 into x
Last month Tara worked 16.5 hours the first week, 19 hours the second week, 23 hours the third week and 15.75 hours the fourth week. She plans to work more hours this month then last month
Answer:
74.25
Step-by-step explanation:
Draw the image of the following segment after a dilation centered at the origin with a scale factor of 2/3
Answer:
When we have a point (a, b) and we have a dilation of scale factor K centered at the origin, the new coordinates of this point will be:
(K*a, K*b)
In this case, we can find the original coordinates of the endpoints of the original segment.
Then apply the dilation to these points, and then draw a new segment whose endpoints are the dilated points.
The endpoints of the original segment are (i can not see the image very well, so i may be wrong when noticing the points).
The first endpoint is (6, 9) and (12, 12)
Now we apply a dilation with a scale factor K = 2/3.
then we get the points:
((2/3)*6, (2/3)*9) = (4, 6)
and the other point is:
((2/3)*12, (2/3)*12) = (8, 8)
Now we need to draw a segment whose endpoints are (4, 6) and (8, 8)
The segment can be seen in the graph below.
What is the height of the cone below?
V = 90 cm
B = 18 cm?
5 cm
06 cm
O 15 cm
O 30 cm
Answer:
5cm
Step-by-step explanation:
V = (B*H)
90 = (18 * H)
H = 90 / 18
Find the value of x and the measure of the angle labeled 3x.
A. x= 14; angle measure is 30°
B. x = 10; angle measure is 42".
C. x = 14; angle measure is 42"
D. x = 10; angle measure is 30°
Answer:
X=10
Step-by-step explanation:
3x=30
3(10)=30
30=30
30+42=72
I hope this helps!
Answer:
D. x=10; angle measure is 30°
Step-by-step explanation:
hope this helps
HELP ASAP!!! I WILL CHOOSE YOU THE BRAINLIEST!!!! PLEASE
Answer:
K is the independent value.
Step-by-step explanation:
For K, you can plug in any value, so it is independent, but T will always have to follow the value of K.
(The X axis is always independent, and the Y axis is always dependent.)
If you want me to do the "Complete the sentence", please tell me the options in the comments.
Answer:
t is the independantt variable and K is the dependant variable...
Smaller? Or less than...
I dont know..
Step-by-step explanation:
hope I helped.. can I have brainliest please? hee hee
Write the equation of the line in slope-intercept form given:
m = 3/7 through (-7, 7)
Answer:
y=3/7x+10
Step-by-step explanation:
y-y1=m(x-x1)
y-7=3/7(x-(-7))
y-7=3/7(x+7)
y=3/7x+21/7+7
y=3/7x+3+7
y=3/7x+10
Which expression is equivalent to 9u+5u?
14, I think its 14. let me know if I'm right
Why does the sin 0 = cos (90 - 0)?
Answer:
It is a nonexistent circumstance where one point of a correct triangle gets zero. Attempt to think. At the point when the point becomes zero, at that point the base gets 0, and the opposite and the hypotenuse turns into a similar line. Since in cos 90, base is 0, in this manner consequently cos 90 is zero.
(Hope this helps! Btw, I am the first to answer. Brainliest pls!)
Christie has $3.80 in quarters and dimes. She has three more dimes than quarters. How many of each coin does she have?
Answer:
Quarters = 10
Dimes = 13
Step-by-step explanation:
Given that :
Quarters = $0.25
Dimes = $0.10
Total value =. $3.80
Let :
Quarters = a
Dimes = a + 3 (3 more dimes Than quarters)
0.25a + 0.10(a + 3) = 3.80
0.25a + 0.10a + 0.3 = 3.80
0.35a = 3.80 - 0.3
0.35a = 3.5
a = 3.5 / 0.35
a = 10
Quarters = a = 10
Dimes = a + 3 = 10 + 3 = 13
plz help asap!!
which statement is not true about the data shown by the box plot below ?
Answer:
B
Step-by-step explanation:
the range is about 45
which of the expressions bellow is equal to -3x - 39
Answer:
117
(-3) × (-39) = 117
Step-by-step explanation:
hope it helps!
What’s the answer to this question?
x² =
12
16
48
Use 50° as the reference angle to find the value Opposite: 50° Adjacent: Hypotenuse 7 12 90° 40° 9 Tt o
what is the measurement of angle x
the angle on the right measures 54 degrees and the left measures 38 degrees
Answer:
16
Step-by-step explanation:
180 is a straight line.
x is among that line so you must subtract the angles you know from 180.
180-54-38= 16
Common denominator of 1/6
Answer:
24 the answer is 24
Step-by-step explanation:
that's because the (LCD) of 1/6 is 24
*
Which graph represents the function f(x) =
c) = (3)
ty
3
ty
3
ty
3
ty
3
3
2
2.
2
2
1
1.21
2 3 4
2 3 4
2 3 4
2 3 4
O
o
The equation of the graph of [tex]f(x) = (\frac{3}{2})^{-x}[/tex] is graph (b)
The equation of the graph is represented as:
[tex]f(x) = (\frac{3}{2})^{-x}[/tex]See attachment for the graph of [tex]f(x) = (\frac{3}{2})^{-x}[/tex]
From the attached graph, the curve passes through points (0,1) and (2,0.5).
Hence, the equation of the graph of [tex]f(x) = (\frac{3}{2})^{-x}[/tex] is graph (b)
Read more about graphs and functions at:
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Solve for x.
x =
thank you in advance!
Answer:
3x+9=180(angles on a line
3x=180-9
3x=171
x=171/3
x=57
Solve for a
Pythagorean theorem
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]
[tex] {c}^{2} - {b}^{2} = {a}^{2} [/tex]
[tex] {8}^{2} - {6}^{2} = {28}^{2} [/tex]
[tex] \sqrt{28} [/tex]
Answer:
[tex]\boxed{\sf{a=\sqrt{28} }}[/tex]
Step-by-step explanation:Pythagorean theorems can be applied to solve this problem.
Pythagorean theorem:
[tex]\rightarrow \sf{a^2+b^2=c^2}[/tex]
⇒ c²-b²=a²
8²-6²=28²
Solve.
PEMDAS stands for:
ParenthesisExponentsMultiplyDivideAddSubtract[tex]\sf{8^2-6^2}[/tex]
Solve by exponents from left to right numbers.
[tex]\sf{8^2=8*8=64}[/tex]
[tex]\sf{6^2=36}[/tex]
Then, subtract.
[tex]\sf{64-36=\boxed{\sf{28}}[/tex]
a=√28
Therefore, the correct answer is a=√28.
I hope this helps you! Let me know if my answer is wrong or not.
Simplify: 2m – 6 ≤ 18.
Group of answer choices
m ≥ 6
m ≤ 12
m ≤ 6
m ≥ 12
Answer:
D. m≥12
Step-by-step explanation:
You first need to transfer the -6 over to the 18. The negative turns into a positive, therefore you add. 18+6 is 24. You now have 2m≤24. Bring the 2 over. You are dividing. 24/2 is 12.
Answer:
The answer is D.
Step-by-step explanation:
~Hoped this helped~
One of the angles of a parallelogram is 36 degree greater than another one. Find the angles of the parallelogram
Answer:
72, 72, 108, 108
Step-by-step explanation:
x, x, x+36, x+36 =360
4x=288
x=72
so, x=72, x=72, x=108, x=108
Answer:
72*, 72*, 108*, 108*
if two sides of a triangle measurement 8cm 12cm what is the range of the third side
Given f(x) = -4x and g(x) = -5x - 8, find g(f(6-2m²))
9514 1404 393
Answer:
-40m² +112
Step-by-step explanation:
g(f(6-2m²)) = g(-4(6 -2m²)) = g(8m² -24)
= -5(8m² -24) -8 = -40m² +120 -8
g(f(6-2m²)) = -40m² +112
URGENT: Create a linear system whose ONLY SOLUTION is (3,13) . I just need the equations for f(x)=? , G(x)=? To get (3,13). ASAP!!!!! PLZZZ
The solution of (3,13) means you need to create two lines that satisfy x = 3 and y = 13
The two lines can be anything as long as they give this solution
For example, if you wrote x + y = 16 (you know their values already)
Then write another y - x = 10
From here you have your equations, turn them into the f(x) form.
x + y = 16 can be turned into y = 16 - x which is f(x)=16-x
y-x = 10 can be turned into y = 10 + x which is g(x)=10 + x
Complete the statement. Round to the nearest hundredth if necessary.
9.2 in. ≈
cm
9514 1404 393
Answer:
23.37 cm
Step-by-step explanation:
1 inch is 2.54 cm, so 9.2 inches is ...
(9.2)(2.54 cm) = 23.368 cm ≈ 23.37 cm