Answer and Step-by-step explanation:
Solution:
(a) The function. f1(x) = ln x, f2(x) = ln x^5 is linearly independent or not.
According to “Linear independent theorem: if two functions f1and f2 are linearly dependent if one can be represent as the constant multiple of other.
f1 = n. f2
Consider given function:
f1(x) = lnx f2(x) = lnx5
(b) Set of function f1(x) = x^n, f2(x) = x^n + 2, is linearly independent or not on the interval [-∞, ∞].
According to “Linear independent theorem: if two functions f1and f2 are linearly dependent if one can be represent as the constant multiple of other.
f1 = n. f2
Consider the given function:
f1(x) = xn f2(x) = xn+2
(c) f1(x) = x, f2(x) = x + 8, (−[infinity], [infinity])
Function is not linearly independent.
Linear independent theorem states that two functions f1 and f2 are linearly dependent if one can represent as the constant multiple of other.
F1= n.f2
(d) f1(x) = cos(x + π), f2(x) = sin x. [-∞, ∞]
According to “Linear independent theorem: if two functions f1and f2 are linearly dependent if one can be represent as the constant multiple of other.
f1 = n. f2
The given function:
f1(x) = cos(x + π)f2(x)
A train goes from Springfield, MA to Boston at a speed of 40 mph. On the return journey it moves at a speed of 80 mph. If the return journey takes an hour less than the outward journey, what is the average speed overall of the train?
Answer:
The answer is 53.3333333
Step-by-step explanation:
first you know that the speed on the way there is 40 mph and the back is 80
lets call the time x On the way there the time would just be X on the way back it would be x-1 because it took one less our
to calculate the distance you need to do speed times time therefor the distance on the way there would be 40x and the way back would be 80x-80
Then I made an equation 40x=80x-80 X=2
so the distance would be 80 miles but to find average speed you need to do total distance over total time so it would be 160 over 3 because the time is 2x-2 x=2 so thats 3
Hope this helps
Two companies offer online gaming subscriptions. Company A charges $75 upfront and then $20 a month. Company B does not charge an upfront fee but charges $35 a month. After how many months will the two companies charge the same amount?
Answer:
After 5 months each company will charge the same amount
Step-by-step explanation:
Math Modeling
The situation raised in the question can be modeled as follows.
Company A charges $75 upfront (flat or fixed fee) plus $20 a month. Being x the number of months of subscription, the total charge Ca is:
Ca = 75 + 20x
Company B charges no upfront fees, and $35 a month. We model its charges Cb as:
Cb = 35x
We want to know the number of months needed to make both companies charge the same amount. We'll do that by equating Ca=Cb:
75 + 20x = 35x
Subtracting 20x:
75 = 35x - 20x
Swapping and simplifying:
15x = 75
Solving:
x=75 / 15
x=5
After 5 months each company will charge the same amount
F(x)=2x+2 solve the inverse when x=4
3(4 + 5y)
Simplify the expression
Answer:
12 + 15y
Step-by-step explanation:
Multiply 3 by all the variables inside the ()
Divide. Round your answer to the nearest whole number.
5,481 - 0.605
Answer:
Step-by-step explanation:
It matters what the order is when you do the rounding.
5481 = 5500
0.605 = 1
The rounded answer is 5500 / 1 = 5500
However if you do the question and then round you get a much closer answer.
5481 ÷ 0.605 = 10712
Round four hundred seventy-six thousand three hundred twenty-one and fifty thousand eight hundred nine hundred-thousandths to the nearest dollar.
Answer:
476,321.50
476,322
Step-by-step explanation:
Logan is solving this problem:
The cheetah ran 0.05 hours at a rate of 70 mph. How far did the cheetah run?
Logan solves the problem by writing:
d = r t. d = 70.05 miles.
What is wrong with Logan’s work?
A.) Logan used the wrong formula. He should have used A = bh.
B.) Logan did not use parentheses when substituting, and he did not multiply the numbers.
C.) Logan's work is correct.
D.) Logan labeled his answer incorrectly. The correct label is feet.
Answer:
Logan did not use parentheses when substituting, and he did not multiply the numbers.
Step-by-step explanation:
took the assignment, it was correct.
Answer:
B
Step-by-step explanation:
The linear function f(x) = 0.3x + 76 represents the average test score in your history class, where x is the number of the tests taken. Determine the test average for your history class after completing test 3.
A.
76.9
B.
79.9
C.
76.3
D.
76
Answer:C
Step-by-step explanation:
What is fo)?
12 only
2 and 3 only
-2, -1, 1, and 2 only
-2, -1, 1, 2 and 12
9514 1404 393
Answer:
f(0) = 12 . . . only
Step-by-step explanation:
We don't know your intended meaning of "fo)". If it is supposed to be f(0), that is the value of the function at x=0, in other words, the y-intercept.
The graph of f(x) crosses the y-axis at y=12, so ...
f(0) = 12
Answer: 4,12
Step-by-step explanation: Gimme points I counted the lines where the f(x) is located at then found 4 same for y ( I started with X then Y)
Please help ! :))
Find the equation of a line perpendicular to -3x + y=-5 that contains the point (1,4). Write the equation in slope.
Answer:
y = -1/3x + 13/3
Step-by-step explanation:
-3x + y=-5
y = 3x -5
Slope of perpendicular line is the opposite inverse so 3 becomes -1/3.
y-intercept going through point (1, 4):
y = mx + b
4 = -1/3(1) + b
4 = -1/3 + b
b = 13/3
Perpendicular equation of a line:
y = mx + b
y = -1/3x + 13/3
The value of the x-intercept for the graph of 4x - 5y = 40 is
Answer: The x intercept is 10 or (10,0)
Step-by-step explanation:
4x - 5y = 40 The x-intercept of a line is when its y coordinate is equal to zero. Input zero into the equation for y and solve for x to find the x intercept.
4x-5(0) = 40
4x + 0 = 40
4x = 40
x= 10
The x intercept is 10 or (10,0)
A recipe says it produces the best summer drink. The recipe calls for cup of lemonade for every 1 cups of iced tea. If 16 cups of the summer drink are made, how many of those are cups of lemonade? Re-create the table to give your answer.
3. Find the precise. or exact. sum of these two numbers. 123+358 =
Answer:
481
Step-by-step explanation:
what equation equivalent to 4x - 6y = 12
Answer:
12+6y=4x
Step-by-step explanation:
Answer:
y=2/3x−2
Step-by-step explanation:
Please help this is due today!! Question: What is the relationship between the 6s in 660,472?
Answer:
The first 6 is in the hundred thousands place.
The second 6 is in the ten thousands place.
Here are the info for the rest of the numbers:
6 = hundred thousands
6 = ten thousands
0 = thousands
,
4 = hundreds
7 = tens
2 = ones
Hope this helps you!
Best of luck!
7b-2/5=6b-7/5 nudfghnkdfbvugyteugdyvbbbvybhjedfs
Answer:
b=−1
Step-by-step explanation:
Solve the absolute value equation for n
1-8n +41 + 6 = 34
Answer:
n=1.85
Step-by-step explanation:
1-8n+41+6=36
-7n+47=36
shift 47 to the other side
-7n=36-47
-7n=-13
n=-13/-7
cancel the negative sign
n=13/7
n=1.85
please mark as brainliest!!!
Malcolm drew a circle with a diameter of d units, a radius of runits, a circumference of C units, and an area of A units. Which of the following could Malcolm use with his circle to define
PI?
HELP ME
Answer:
c because definition of circumference: the enclosing boundary of a curved geometric figure, especially a circle.
Answer:
C
Step-by-step explanation: water
Which number
not in scientific notation?
6x10^24
2.01x10^-2
1.3x10^-4
0.5x10^3
Answer:
It's 0.5x10^3
Step-by-step explanation: A number in scientific notation has to be between 1 an 10. It can't be less than one or 10.
the quotient of 9 3/4 and 5/8
Answer:
15.6
Step-by-step explanation:
The answer is 15.6 because if you divide 9 3/4 by 5/8, you get 78/5, or 15.6 in decimal form. Hope it helps!
Which relation represents a function? {(0, 3), (2, 4), (0, 6)} {( - 7, 5), ( - 7, 1) ( - 10, 3), ( - 4, 3)} {( 2,0), (6, 2), (2, -2)} {( - 6, 5), ( - 3, 2), (1, 2), (6, 5)}
Answer:
is it none of the above
Step-by-step explanation:
The number of suitcases lost by airlines.
Answer:
4.3 billion
Step-by-step explanation:
guys help me 3(x−4)≥−2x+3
Answer:
sensya na bobo den ako e✌
Find the measure of angle b
Answer:
I'd say 42 degrees, but I might be wrong.
Step-by-step explanation:
It looks the same as the other labeled angle, which is 42 degrees, so that would make angle b 42 degrees.
Dionne Washington wants to sell natural fruit flavored water at her neighborhood block party. She wrote the amount of money she spent as a function of the number of bottles sold. Which set of numbers would be an appropriate domain for Dionne's function?
Complete question is;
Dionne Washington wants to sell natural fruit flavored water at her neighborhood block party. She wrote the amount of money she spent as a function of the number of bottles sold. Which set of numbers would be an appropriate domain for Dionne’s function?
A) 0, 1, 2, 3, 4, …
B) …, −4, −3, −2, −1, 0
C) …, −3, −2, −1, 0, 1, 2, 3, …
D) …, −3.5, −2.5, −1.5, 0, 1.5, 2.5, 3.5, …
Answer:
Option A: {0,1, 2, 3, 4,....}
Step-by-step explanation:
Domain is simply a set of input while the range is a set of output values.
For example, if we have a function named f(x) = x², the domain will be all possible values of x being inputed while the range will be the value of f(x) for all possible values of x inputed.
Now, from the question, we are told that she wrote the amount of money she spent as a function of the number of bottles sold.
If the number of bottles sold is denoted by "x", it means the function is; f(x).
Now, number of bottles has to be a non-negative whole number or simply a non-negative integer. Thus, the possible values of x are all non-negative whole numbers like, 0,1, 2, 3, 4, 5....
Thus,domain is {0,1, 2, 3, 4,....}
Answer:
A. 0,1,2,3,4,.....
Step-by-step explanation:
Help me ASAP please
from what I remember from what my teacher taught me was that its nonlinear. I'm 98% sure its nonlinear
I'm am so sorry if I get it wrong. I'm apologizing ahead. if you want you can get the points back I dont mind because I feel bad when I get things wrong but I'm pretty sure its non linear
There are 454 grams in a pound. Convert 330 grams to ounces.
11.6 ounces
330g x 1lb/454g x 16oz/1lb = 11.6 ounces
If the conversion factors are properly set up and all numbers are correct, the unwanted units cancel out leaving the units of the final answer. (citing my source usa test prep but i worked it out.)
A rectangular room is 4 yards long and 5 yards wide . Lucas is covering the floor with tiles that are 1 square foot . How many tiles will he need ?
Answer:
I think like 21
Step-by-step explanation:
i think it correct but if it not it okay but alaest I try my best on it
Use partial quotients to divide. Show your work.
)
___ group(s) of
___ group(s) of
___ group(s) of
0
Add the partial quotients.
I need more information on what I'm meant to be doing so I can help you because I don't understand the question after I re-read it over and over again.
whats the decimal of -3 13/20
Step-by-step explanation:
-3 13/20
-3 65/100
-3 0.65
= -3.65