From an absolute value inequality, we have that:
The minimum diameter is 6.46 mm.The maximum diameter is 6.54 mm.The absolute value measures the distance of a point or a function to the origin.One example of inequality is:[tex]|f(x)| \leq a[/tex]
Which has solution:
[tex]-a \leq f(x) \leq a[/tex]
In this problem:
Bolts with a diameter of 6.5 mm, with a tolerance of 0.04 mm, thus the absolute value of the difference of the diameter D and 6.5 has to be of at most 0.04, that is:[tex]|D - 6.5| \leq 0.04[/tex]
Applying the solution:
[tex]-0.04 \leq D - 6.5 \leq 0.04[/tex]
[tex]-0.04 \leq D - 6.5[/tex]
[tex]D - 6.5 \geq -0.04[/tex]
[tex]D \geq 6.46[/tex]
[tex]\leq D - 6.5 \leq 0.04[/tex]
[tex]D \leq 6.54[/tex]
The minimum diameter is 6.46 mm.The maximum diameter is 6.54 mm.A similar problem is given at https://brainly.com/question/24835634
help me pls help me pls
Answer: what is this?
Multiply the following and provide the product in standard from thank you
Answer:
x^3 + 4x^2 - 7x - 10
Step-by-step explanation:
To solve this we're going to use Polynomial multiplication, starting by multiplying (x-2)(x+1) = x^2 - 2x + x - 2 = x^2 - x - 2. Next, we will multiply (x^2 - x - 2)(x+ 5) = x^3 + 5x^2 -x^2 - 5x -2x -10 = x^3 + 4x^2 - 7x - 10.
Daria bought
a skein of alpaca yarn for $47.50, a skein
of angora yarn for $32.14, a skein of wool
yarn for $16.50, and a pair of knitting
needles for $3.86. How much did she
spend in all? Describe how you calculated
your answer
The total amount Daria spent on all her purchases is $100
In order to determine the total amount Daria spent on all her purchases, the cost of each item has to be added together.
Addition is a mathematical operation that can be used to determine the total sum of two or more values. other basic mathematical operations are subtraction, multiplication and division.
Total amount spent = cost of a skein of alpaca yarn + cost of a skein
of angora yarn + cost of a skein of wool yarn + cost of a pair of knitting
needles
$47.50 + $32.14 + $16.50 + $3.86 = $100
A similar question was answered here: https://brainly.com/question/13319621?referrer=searchResults
which angles are alternate
Answer:
POL and KLO
Step-by-step explanation:
Alternate interior angles are between the parallel lines and on opposite sides of the transversal
NOL and MLO
POL and KLO
Answer:
KLO and POL
Step-by-step explanation:
Find the cosine of ZX.
Answer:
[tex] \cos(x) = \frac{ 65}{ \sqrt{ {65}^{2} + {72}^{2} } } = \frac{65}{97} [/tex]
Are expressions equivalent to 3(62)?
Answer:
186
Step-by-step explanation:
Mike wanted to purchase a bike for $285.00 and
realized the bike was on sale for 30% off. How much
would Mike pay for the bike, before taxes, once the
discount was applied?
A. $85.50
B. $199.50
C. $315.00
D. $370.50
please give me the right answer and i’ll mark you brainiest or whatever. <3 :,)
Answer: B. $199.50
Step-by-step explanation:
285 x 0.7 = 199.5
Answer is B. $199.50
helppp
what is the slope?
Answer:
2/3
Step-by-step explanation:
Find a two coordinates on the line such as (20,40) and (50,60)
plug it into the slope formula m= y2 - y1 / x2- x1
it doesn't matter what way you plug them in
m = slope
m = 60-40 / 50 - 20 = 20/30 = 2/3
The slope is 2/3 I simplified 20/30 by dividing by 10
hope this helped
The second step in the process for factoring the trinomial x2 - 4x - 32
is to:
Answer:
x 2 - 4 x - 32
( x - 8 ) ( x + 4 )
Step-by-step explanation:
( x - 8 ) ( x + 4 )
Which of the following equations is the translation 2 units down of the graph of y = |x|?
y= lx - 2|
y= |x + 2|
y=|x| - 2
y=|x| + 2
Which is the equation of the line that passes through the points (4.3) and (2. 6)? Like how I do this because I had infinite answers that was wrong one may be right
Answer: C
Step-by-step explanation: You have to graph the 2 points and plug in each answer until the slope passes through
angle 1 and angle 2 form a linear pair. if m angle 1= x + 47, and m angle 2 = x-12 find the measure of angle 1
Answer:
215/2
Step-by-step explanation:
A linear pair means that the angles equal 180 degrees.
If added together 1 and 2 equal to 180 degrees, then the equation should be x+47+x-12=180. Then solve and simplify.
x+47+x-12=180
2x-35=180
2x=215
x=215/2
-5s-5x+5 s 50
solve this
-5s-5x+5s+50 Combine like terms
5x+50
Answer:
[tex]{ \tt{ - 5s - 5x + 5s = 50}} \\ \\ { \tt{ - 5x = 50}} \\ \\ _\hookrightarrow \: ^{ \rm{answer}} \\ { \tt{x = - 10}}[/tex]
Which pair of numbers have a greatest common factor of 5?
Select each correct answer.
15 and 25
30 and 15
20 and 30
10 and 5
Answer:
15 and 25
10 and 5
Step-by-step explanation:
Choose the fraction that is equal to:
0.8 repeating A)8/9 B)6/7 C)8/10 D)2/25
Answer:
A) 8/9
Step-by-step explanation:
8 divided by 9 is 0.88888888888888888888889 on a calculator
The fraction that is equal to 8/9. Then the correct option is A.
What is Algebra?Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.
The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.
⇒ 0.8888...
Convert the decimal number into a fraction number, then we have
Let x = 0.8888..., then
10x = 8.888....
10x - x = 8.8888.... - 0.8888...
9x = 8
x = 8/9
The fraction that is equal to 8/9. Then the correct option is A.
More about the Algebra link is given below.
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Please help me ASAP!!!!!!!!!!!
Smallest 2-digit number: 23
3-digit number closest to 300: 276
Hope it helps you! ✺ ✺ ✺ ✺ ✺ ✺ ✺
[tex]ANSWERED:\\GraceRosalia[/tex]
The coordinates of point J are (-7, 2), and the midpoint of JK is at L (3, 5). What are the coordinates of point K?
The required coordinate of the point K is (13, 8).
Given that,
The coordinates of point J are (-7, 2), and the midpoint of JK is at L (3, 5), the coordinates of point K is to be determined.
Coordinate, is represented as the values on x-axis and y-axis of the graph.
here,
The coordinate of the midpoint (x, y) is given as,
x = (x₁ + x₂)/2 ; y = (y₁ + y₂)/2
Substitute the value in the above equation,
3 = (-7 + x₂)/2 ; 5 = (2 + y₂)/2
x₂ = 13 ; y₂ = 8
Thus, the required coordinate of point K is (13, 8).
Learn more about coordinate here:
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What is 7^5 equal to
Why can’t you do -7 divided by 0
Answer:
Step-by-step explanation: there is no way to define an answer to the question in any reasonable.
Answer:
Because 0 is greater than negative 7
Step-by-step explanation:
A negative number is any number that is less than 0.
Hope this makes you understand it
I need help for all of them. I don’t understand how to do anything of them and i’m really confused
Answer:
steps below
Step-by-step explanation:
1) f(x) = (-3ax⁴ + ax² +x) / (2x⁴ + x³ - ax² + 8x) ... degree of the denominator = degree of the numerator (-3a) / 2 = 5 / 4
-12a = 10
a = - 5/6
2) 3-n > n+ 10 ... degree of the denominator < degree of the numerator
2n < -7
n < - 3.5
The largest inter value is -4
3) f(x) = (x²+3x-4) / (2x²+7x-10)
f(2) = (2²+3*2-4) / (2*2²+7*2-10) = 6 / 12 = 1/2
x->∞ : divide x² both numerator and denominator, any number/ x -> 0
f(x) = (1 + 3/x - 4/x²) / (2 + 7/x - 10/x) = (1 + 0 - 0) / (2 + 0 - 0) = 1/2
[tex]\lim_{x \to \infty} f(x) = f(2)[/tex] = 1/2
Help plz !!! Which equation shows that the product of a square matrix A and its identity matrix / is A?
Answer:
Option D portrays that
Matrix A multiplied by an identity matrix equals Matrix A
What would be the most common example of a curve with constant widith
Answer:
a circle
Step-by-step explanation:
yeah-ya... right?
Please help! I need the answer asap :(
Answer:
[tex]1 and -1[/tex]
Step-by-step explanation:
The library charges a fine
each day that a book is
late. If Moriah recently paid
a $7.15 fine for a book that
was 13 days late, what is
the daily fine?
What is the inverse
Answer:this is the answer
Answer:
[tex]f^{-1}(x)=3x-6[/tex]
Step-by-step explanation:
Let's replace [tex]f(x)[/tex] with [tex]x[/tex] and replace [tex]x[/tex] with [tex]f^{-1}(x)[/tex] ad solve.
[tex]x=1/3*f^{-1}(x)+2[/tex]
[tex]x-2=1/3*f^{-1}(x)[/tex]
[tex]f^{-1}(x)=3(x-2)[/tex].
[tex]\boxed{f^{-1}(x)=3x-6}[/tex]
Could someone please help me with this triangle proof?
It's a level 3 proof on Delta Math.
Answer:
DA?
Step-by-step explanation:
I'm not the brightest I'm sorry but i think it might be D A something..
Proved that the [tex]$$ \angle C A B \cong \angle D B A \text $$[/tex]
What are similar triangle ?Similar triangles have the same form but differ in size. Similar items include all equilateral triangles and squares of any side length. In other words, if two triangles are comparable, their corresponding angles and sides are in proportion.
What is Basic Proportionality TheoremThe intercept theorem, also known as Thales' theorem, fundamental proportionality theorem, or side splitter theorem, is a basic geometry theorem that describes the ratios of various line segments formed when two intersecting lines are intercepted by a pair of parallels.
Learn more about the basic proportionality theorem at
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Find the 70th term of the arithmetic sequence 29, 17, 5, ...29,17,5,...
hijab day of doing a great day of doing a little bit more about the way for me the ch-2 ex is a very good time to be able to get the day of doing a great day when mother speaks it happens to be a good time to be a good time to be a good day please anyone who is in the day and in the way for me the way
What is 35% of the number 40?
Answer:
14
Step-by-step explanation:
convert 35% to a decimal by moving the decimal to the left two places
.35
.35 × 40 = 14
Answer:
87 percent
Step-by-step explanation:
You just simply divide percent you got (35) by the full amount you could get (40)
35 ÷ 40
how to solve 1.2x+1.4y=2.7 and 0.4x-0.3y=0.9 in substitution
Answer:
x=0.8712, y=1.1818
Step-by-step explanation:
1.2x+1.4y=2.7 --(1)
0.4x-0.3y=0.9--(2)
1.2x=2.7-1.4y
x=(2.7-1.4y) / 1.2 --(3)
substitute (3) in (2)
[tex]0.4(2.7-1.4y) / 1.2 -0.3y=0.9[/tex]
[tex](1.8 - 0.56y) \frac{1}{3} - 0.3y = 0.9[/tex]
times both sides with 1/3
[tex] \frac{1}{3} (1.08 - 0.56y( \frac{1}{3} ) - 0.3y = 0.9)[/tex]
1.08-0.3=0.56y+0.1y
0.78=0.66y
y=1.1818
substitute y in (3)
x=2.7-1.4(1.1818) /1.2
x=0.8712
What is the slope of the line in the graph? PLZ HELP
Answer:-3/4
Step-by-step explanation: Raises 3 units, goes to the left 4 units.
Answer:
-3/4
Step-by-step explanation:
Slope is rise over run. The line is negative as the line is falling, not rising. From one point to the next it falls 3, or rises -3. It runs 4, therefore the rise/run, or slope is -3/4.