The restriction of the outright worth of x as x methodologies 0 will be 0. Outright worth guarantees that the result is non-negative, and as x methodologies zero from one or the other side, the outcome stays at 0.
Explanation:The inquiry you're posing relates to the furthest reaches of the outright worth capability as the variable x methodologies are the worth of nothing. In science, explicitly in math, we assess cutoff points to comprehend the way of behaving of capabilities as they approach a specific point.
To track down the breaking point as x methodologies 0 of the outright worth of x, signified as lim x→0 |x|, we want to think about the meaning of outright worth. The outright worth of a number is the non-negative worth of that number regardless of its sign. In this manner, as x methodologies 0 from either the positive or negative side, the outright worth of x will likewise move toward 0.
Consequently, the cutoff is 0, since as x gets increasingly close to nothing, so does the outright worth of x.
There are currently 58 million cars in a certain country, increasing exponentially by 5.5% annually. how many years will it take for this country to have 79 million cars? round to the nearest year.
What is the x-intercept of a line that passes through the point (3, 4) and has a slope of 2?
Four people are painting a house. Zachary paints 1/5 of the house, Alyssa paints 33% of the house, Chloe paints 0.3 of the house, and Nicholas paints 0.17 of the house. Which choice lists the people in order from least to greatest by the amount of the house each painted?
Answer:
Nicholas, Zachary, Chloe, Alyssa.
Step-by-step explanation:
Given that Four people are painting a house. Zachary paints 1/5 of the house, Alyssa paints 33% of the house, Chloe paints 0.3 of the house, and Nicholas paints 0.17 of the house.
As such we cannot compare their works to order from least to greatest
Hence we can convert each portion into a decimal thus enabling comparison easier.
Zachary paints [tex]\frac{1}{5} =0.20[/tex] of the house
Alyssa paints [tex]33%=\frac{33}{100} =0.33[/tex] of the house
Chloe paints 0.3 of the house and
Nicholas paints 0.17 of the house.
In ascending order these can be written as
0.17, 0.2, 0.3, 0.33
Hence Nicholas, Zachary, Chloe, Alyssa.
PLEASE HELP!!!! WILL MARK THE BRAINLIST!!!! PLEASE PLEASE PLEASE PLEASE PLEASE PLEASE
a) The shoe store manager borrowed $17,000.00 from the bank to purchase 1000 pairs of shoes. The bank charges a simple interest rate of 5% per year on a loan to a business. If it takes 3 years to pay back the loan and interest, what is the total amount of interest that the shoe store will pay? (2 points)
b) What is the total amount, including interest, that the shoe store must pay on the loan? (2 points)
c) How could you use estimation to determine if your answer is reasonable? Explain. (2 points)
A) 17000*(1+(0.05*3) = 19550
19550-1700 = $2,550 total interest
B) $19,550 total amount
C) multiply 5 by 3 = 15 than multiply by 17 = 17 * 15 = 255 , then make it a thousands amount by adding a zero at the end
Answer:
A)
p = 17000
r = 5% or 0.05
t = 3
Simple interest formula = p x r x t
Interest paid in 3 years = [tex]17000\times0.05\times3=2550[/tex] dollars
B)
Total amount to be paid = [tex]17000+2550=19550[/tex] dollars
C)
You can first multiply the years and rate that is 5 and 3 to make 15. Then you can multiply by 17. Then put proper decimals as per the values.
The point MegaMarket sold 450 organic pears last season. this season they only sold 360 What was the percent decrease in sales
solve this inequality 2(4x-3)≥-3(3x)+5x?
Answer:
x ≥0.5
Step-by-step explanation:
Given : 2(4x-3)≥-3(3x)+5x.
To find : solve this inequality.
Solution : We have given that
2(4x-3)≥-3(3x)+5x.
Distributes 2 over (4x-3) and -3 over 3x.
8x - 6 ≥ -9x + 5x .
8x - 6 ≥ -4x .
On adding both side by 4x
8x + 4x - 6 ≥ 0 .
12 x - 6 ≥ 0
On adding both sides by 6.
12 x ≥ 6.
On dividing both sides by 12.
x ≥ [tex]\frac{6}{12}[/tex] .
x ≥ [tex]\frac{1}{2}[/tex] .
x ≥0.5.
Therefore, x ≥0.5
What is the exact value of cos theta = squareroot 2 over 2?
Please help with these questions thank you.
Which of the following are the factors of t4 – 81? A. (t – 3)(t + 3)(t2 + 9) B. (t – 3)2(t + 3)2 C. (t – 3)(t + 3)2 D. (t2 – 9)(t2 – 9)
You were assigned to read 5⁄8 of your book. how many sixteenths is that? fraction
x(x+8) = 256 square yards
solve for x
im having a lot of trouble please help
The table below represents the distance a person runs as a function of time:
Time distance meters
x f(x)
10 60
13 78
16 96
19 114
he average rate of change of the function between x = 10 to x = 16 is m/s and represents the person's speed. (3 points)
The function y = h(x) is defined as follows:
h(1) =
and h(4) =
Find the sum of all numbers below 1000 that are divisible by 3 or 5
First of all, stop thinking on the number 10001000 and turn your attention to the number 990990 instead. If you solve the problem for 990990 you just have to add 993,995,996993,995,996 & 999999 to it for the final answer. This sum is (a)=3983(a)=3983
Count all the #s divisible by 33: From 33... to 990990 there are 330330 terms. The sum is 330(990+3)/2330(990+3)/2, so (b)=163845(b)=163845
Count all the #s divisible by 55: From 55... to 990990 there are 198198 terms. The sum is 198(990+5)/2198(990+5)/2, so (c)=98505(c)=98505
Now, the GCD (greatest common divisor) of 33 & 55 is 11, so the LCM (least common multiple) should be 3×5=153×5=15.
This means every number that divides by 1515 was counted twice, and it should be done only once. Because of this, you have an extra set of numbers started with 1515 all the way to 990990 that has to be removed from (b)&(c).
Then, from 1515... to 990990 there are 6666 terms and their sum is 66(990+15)/266(990+15)/2, so (d)=33165(d)=33165
The answer for the problem is: (a)+(b)+(c)−(d)=233168(a)+(b)+(c)−(d)=233168
Simple but very fun problem.
Which of the sets of ordered pairs represents a function? (4 points)
A = {(−4, 5), (1, −1), (2, −2), (2, 3)}
B = {(2, 2), (3, −2), (9, 3), (9, −3)}
you can do both or neither as well THX
which blood type was donates by the largest percent of people?
n Monday, Elsbeth’s bank account balance was -$16.75. On Tuesday, she deposited a check for $5.72. On Thursday, she deposited $16.75. What is her new balance? -16.75 + (5.72 + 16.75) Use the commutative property to get: -16.75 + (16.75 + 5.72) Use the associative property to get: (-16.75 + 16.75) + 5.72 On Friday, Elsbeth deposited her pay check for $872.56. What was the account’s final total? -$866.84 $878.28 $895.03 $903.10
Answer:
Option B. $878.28
Step-by-step explanation:
On Monday, Elsbeth's bank account balance was = $-16.75
She deposited a check = $5.72
On Thursday, she deposited = $16.75
Her new balance = -16.75+( 5.72 + 16.75)
= $5.72
On Friday Elsbeth deposited her pay check for = $872.56
The account's final total = 872.56 + 5.72 = $878.28
Elsbeth's account's final total was $878.28.
Option B. $878.28.
Given: -7x < -21.
Choose the solution set.
A. {x | x < -3}
B. {x | x > -3}
C. {x | x < 3}
D. {x | x > 3}
PLZ HELPP ME WITH THIS MATH PROBLEM
The relation of this set of points is a function. True or false.
{(−2, 6), (4, 5), (3, −3), (6, 9), (4, −4)}
Question 1 options:
True
False
Save
i need someones help please?
Which of the following properties is 5(3 + 2) = 15 + 10 an example of?
associative property
commutative property
multiplicative identity
distributive property
Answer: Distributive property
Step-by-step explanation:
Associative property states that either in addition or multiplication we can changes the position of parenthesis.
That is, a.(b.c) = (a.b).c or a+(b+c) = (a+b)+c
Commutative property states that in addition or multiplication we can change the order.
That is, a.b = b.a or a+b = b+a
Multiplicative identity is an element that gives the same number after multiplication.
That is, a × 1/a = 1 ⇒ 1/a is the multiplicative identity of a.
Distributive property lets us multiply a sum by multiplying each addend separately and then add the products.
That is, a(b+c) = a.b + a.c
Thus, it is clear that ,
5(3 + 2) = 5× 3+ 5×2 = 15 + 10 is the example of distributive property.
What is the volume if something measures 6.2 cm x 13.7 cm x 26.9 cm?
The calculated volume is 2284.886 cubic centimeters.
The volume of a rectangular prism (or box) is calculated using the formula:
Volume = length x width x height
For the given measurements:
Length (l) = 6.2 cmWidth (w) = 13.7 cmHeight (h) = 26.9 cmPlug the values into the formula:
Volume = 6.2 cm x 13.7 cm x 26.9 cm
First, calculate the product of the length and width:
6.2 cm x 13.7 cm = 84.94 cm²
Next, multiply this result by the height:
84.94 cm² x 26.9 cm = 2284.886 cm³
Therefore, the volume of the object is 2284.886 cubic centimeters.
Merry and pippin were working on a project in carpentry class. they needed to cut 4 lengths of 1 5/8 feet from a board. how long must the board be to allow this?
Answer:
Hence, the length of board is:
6.5 feet
Step-by-step explanation:
Merry and pippin were working on a project in carpentry class.
They needed to cut 4 lengths of 1 5/8 feet from a board.
That means each of the piece is of length 1 5/8 feet which could be written in fraction as:
[tex]1\frac{5}{8}=\dfrac{13}{8} feet[/tex]
Hence, the otal length of the board is addition of length of each board.
i.e.
[tex]\dfrac{13}{8}+\dfrac{13}{8}+\dfrac{13}{8}+\dfrac{13}{8}=4\times \dfrac{13}{8}=\dfrac{13}{2}feet=6.5feet[/tex]
Hence, the length of board is:
6.5 feet
Estimate the decimal factors, then multiply to estimate the product.
1. 5.3 rounded to the nearest whole number is ____ .
2. 7.9 rounded to the nearest whole number is ____ .
3. (5.3)(7.9) ≈ ____ .
Answer:
1. 5
2. 8
3. 40
Step-by-step explanation: So rounding the factors is an easy way to estimate the product of 5.3 and 7.9.
The real answer is 41.87 and 40 is a reasonable approximation, Your welcome.
PLEASE HELP
simplify the expression
2. 10r^(-7)t^3
Segment AB is rotated to form A'B'¯¯¯¯¯¯¯ . The coordinates of point A are (1, 5) and the coordinates of point B are (−6, 4) . Which clockwise rotation around the origin results in the transformation of AB¯¯¯¯¯ to form A'B'¯¯¯¯¯¯¯ ?
The total number of people at a football game was 5600. field-side tickets were 40 dollars and end-zone tickets were 20 dollars. if the total amount of money received for the tickets was 132000 how many of each kind of ticket were sold.
Math Help??
What is the value of X?
which ordered pair is a solution of the equation y=x-4
Answer:
Step-by-step explanation:
y = x - 4
there are so many ordered pairs which are the solution of the given equation.
for example,
x = 0, y = -4
x = 1 , y = -3
x = 2, y = -2
x = 3, y = -1
x = 4, y = 0
x = - 1, y = - 5
x = - 2, y = - 6
x = - 3, y = - 7
x = - 4, y = - 8