The absolute value of inequality is 180 ≤ x ≤ 200 and its solution lies in [180, 200].
What is linear inequality?Linear inequality refers to the relation between a linear algebraic expression to some known value that contains inequality sign.
Unlike a linear equation it can have a range of values inside an interval.
Suppose the operating temperature be x.
Then, as per the question the absolute difference of the temperature and 190°F is within 10°F.
It can be written in the form of inequality as follows,
|x - 190| ≤ 10
⇒ x - 190 ≤ 10 and x - 190 ≥ -10
⇒ -10 ≤ x - 190 ≤ 10
⇒ -10 + 190 ≤ x ≤ 10 + 190
⇒ 180 ≤ x ≤ 200
Thus, the range of acceptable temperatures lie in [180, 200].
Hence, the absolute value of inequality and its solution are given by 180 ≤ x ≤ 200 and [180, 200] respectively.
To know more about linear inequality click on,
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1. A cube has a volume of 125 cubic inches. What is the length
of each edge?
Answer:
5 inches
Step-by-step explanation:
Since the length of the sides of a cube are all equal,
volume of cube
= side ×side ×side
= (side)³
125= (length of side)³
Cube root both sides:
Length of each edge
[tex] = \sqrt[3]{125} [/tex]
= 5 inches
2 × (-3)2 − 5 × (-3) × (-2) − (-2)3
Answer:
24
Step-by-step explanation:
2 x (-3)2 - 5 x (-3) x (-2) - (-2)3
2 x -6 - 5 x -6 + 6
-12 + 30 + 6
24
Im so confused please help with 5 and 6
Answer:
5)102,78
6)56,56
See THE IMAGE FOR SOLUTION
Answer:
78° and 65°
Step-by-step explanation:
(5)
The 2 angles lie on a straight line and sum to 180° , that is
x + 84 + x + 108 = 180
2x + 192 = 180 ( subtract 192 from both sides )
2x = - 12 ( divide both sides by 2 )
x = - 6
Then
x + 84 = - 6 + 84 = 78°
(6)
the angle opposite 8x is 9x - 7 ( corresponding to the 9x - 7 )
So 8x and 9x - 7are vertical angles and congruent
9x - 7 = 8x ( subtract 8x from both sides )
x - 7 = 0 ( add 7 to both sides )
x = 7
Then
9x - 7 = 9(7) - 7 = 63 - 7 = 56°
If x=4-√17 find 1 /x
Answer:
[tex]\huge\boxed{\sf -4-\sqrt{17}}[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{1}{x} = \frac{1}{4-\sqrt{17} }\\\\Multiplying \ and \ dividing \ by \ conjugate \ 4 + \sqrt{17} \\\\= \frac{1}{4-\sqrt{17} } \times \frac{4+\sqrt{17} }{4+\sqrt{17} } \\\\= \frac{4 + \sqrt{17} }{(4)^2-(\sqrt{17} )^2} \ \ \ by \ formula \ (a+b)(a-b)=a^2-b^2\\\\= \frac{4+\sqrt{17} }{16 - 17} \\\\= \frac{4+\sqrt{17} }{-1} \\\\= -(4+\sqrt{17} )\\\\= -4-\sqrt{17} \\\\\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Peace!Step-by-step explanation:
Given that:
x = 4-√17
Therefore, 1/x = 1/(4-√17)
Now, the denominator is 4-√17
We know that
Rationalising factor of a-√bc is a+√bc.
Therefore, the rationalising factor of 4-√17 is 4+√17.
On rationalising the denominator them
⇛[1/(4-√17)]×[(4+√17)/4+√17)]
⇛[1(4+√17)]/[(4-√17)(4+√17)]
Since, (a-b)(a+b) = a²-b²
Where,
a = 4 and b = √17⇛[1(4+√17)]/[(4)²-(√17)²]
⇛[1(4+√17)]/(4*4)-√(17*17)]
⇛[4+√17]/[16 - 17]
⇛(4+√17)/1
⇛1/x = 4+√17 ans.
Read more:
Similar questions
Rationalisie the denominator of: 2/√7+√5
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A new car is priced at ₱2 000 000, and its value depreciates by 5% at the end of each year. What is the price of the car after 5 years?
The price of the car after 5 years will be ₱1,500,000
Price of car = ₱2 000 000
Depreciation percentage = 5%
Depreciation = 5% × ₱2 000 000 = 0.05 × ₱2 000 000 = ₱100 000
The equation to solve the question will be:
= 2000000 - 100000x
where, x = number of years
= 2,000,000 - 100000(5)
= 2,000,000 - 500,000
= ₱1 500 000
The price of the car after 5 years will be ₱1,500,000
Read related link on:
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Please say me the answer fast and correct....
Answer:
i dont know lol
Help can someone help me on these 2 questions I would appreciate it ;) ♡
Answer:
htshfghdgfhdghfghfgh
Step-by-step explanation:
Answer:
1) <UOT and <ZOV
2) <ZOV = 30°
Find the x- and y-intercepts of the graph of 2x - y = 24. State your answers as
whole numbers or as improper fractions in simplest form.
I NEED HELP ASAP ON 1. AND 3.
Answer:
Step-by-step explanation:
3) Yes. Ms. Bratlett is correct.
2x - 3 - (x +1) = 2x - 3 + x*(-1) + 1*(-1)
= 2x - 3 - x - 1
= 2x -x - 3 - 1
= x - 4
Adult humans have approximately 2.6 x 10 red blood cells and 3.92 x 10 white blood cells about how many times greater is the number of red blood cells than white blood cells
Answer:
The number of red blood cells is approximately [tex]660[/tex] times greater than white blood cells.
Step-by-step explanation:
Given:
Red blood cells [tex]$2.6 \times 10^{6} / \mathrm{mm}^{3}=2.600 .000 \times \mathrm{mm}^{3}$[/tex] White blood cells [tex]$3.92 \times 10^{3} / \mathrm{mm}^{3}=3.920 \times \mathrm{mm}^{3}$[/tex]To find how many times greater is the number of red blood cells than white blood cells
Divide the amount of the former between the second
[tex]=\frac{2,600.000}{3,920}[/tex]
[tex]=663.27[/tex]
≈ [tex]660[/tex]
Therefore, number of red blood cells is approximately [tex]660[/tex] times greater than white blood cells.
Learn more about blood cells, refer:
https://brainly.com/question/18635242https://brainly.com/question/12200034Answer:
a. 660
have a good day :)
Solve the equation.
c2=38
c≈
Answer:
19
Step-by-step explanation:
c=38/2
c=19
Answer:
19
Step-by-step explanation:
c2 = 38
Do 38/2 = 19
c = 19
One health club charges $44 sign fee and $30 per month. Another health club charges $99 sign up fee and $25 per month. For what number of months is the cost same. (Please give the equation and the answer for credit.)
Answer:
At 11 months, the costs for each club will be the same.
Equation: 44 + 30x = 99 + 25x
Step-by-step explanation:
Form equations to solve for each health club:
Variable x = number of months
1st health club: 44 + 30x
2nd health club: 99 + 25x
Equal the equations to each other:
44 + 30x = 99 + 25x
30x = 55 + 25x
5x = 55
x = 11
Answer:
x=11
Step-by-step explanation:
44+30x=99+25x
-25x -25x
44 +5x = 99
-44 -44
5x=55
5 5
x=11
I hope this helps!
Explain why it is important to learn how to compare and arranging numbers by sharing some experiences where you get to apply them.
Answer:
it's important to learn how to compare and arranging number so that you know how to solve the problem without a rumbled answers on your mind
PLease send explanation.
Answer:
Step-by-step explanation:
XY = 1/2 * QR (According to the midpoint theorem)
=1/2 * 15.6
=15.6/2
=7.8 m
a^2 + b^2=c^2 solve for b
[tex]\large \mathfrak{Solution : }[/tex]
let's solve for b :
[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex][tex] {b}^{2} = {c}^{2} - {a}^{2} [/tex][tex]b = \sqrt{ {c}^{2} - {a}^{2} } [/tex]can someone help me answer a few of these? Thank you! :)
Help please!!!!!!!!!!!
what is the point of intersection when x=6 and y=4
Answer: 6,4
Step-by-step explanation:
Write and solve the equation to find the
value of x.
"The difference of a number x and ten
is negative four."
a) x + 10 = -4; x = 5
b) X- 10 = -4; x = 6
c) X- 10 = -4; x = -6
d) x + 10 = -4; x = -5
Answer:
B. X-10=-4; x=6
Step-by-step explanation:
x-10=-4
x-10+10=-4+10
x=6
HELP DUE IN 10 MINUTES!!
SOLVE for X
5(4x − 5) + 3x - 1 = 20
[tex] \sf 5(4x − 5) + 3x - 1 = 20 \\ \\ \sf\implies 20x - 25 + 3x - 1 = 20 \\ \\ \sf \implies 23x - 26 = 20 \\ \\ \sf \implies 23x = 20 + 26 \\ \\ \sf \implies 23x = 46 \\ \\ \sf \implies x = \frac{46}{23} = 2[/tex]
SImplify the expression below:
Answer:
8x^2 +10x -5
Step-by-step explanation:
you'll multiply the second expression by -1, and you'll get +8x-9, add both expressions together and your final answer will be 8x^2 +10x -5
If a = b + 6 but a also = b * 3, what are the variables?
Answer:
a = 9, b = 3Step-by-step explanation:
Given:
a = b + 6a = b*3Then, eliminate a:
b + 6 = 3b2b = 6b = 3Find a:
a = 3+ 6 = 9Is 3/8 just a rational number?
Answer:
Yes!
Step-by-step explanation:
It is also a fraction. But, again fraction is a rational number and the number is also real (>0).
Pls help I’ll give u 38points, I need this in 1 hour
the answer is 8, -1
the picture attached is the steps
Find all complex solutions of 2x^2-x+8=0
Answer:
x = 1 − √63i / 4 , x = 1 + √63i / 4
Step-by-step explanation:
Let's use the formula −b±√b2−(4ac) / 2⋅a
= ax^2+bx+c=0
= 2x^2-x+8=0
Let's substitute 2 for a, −1 for b, and 8 for c in the formula of quadratic equation.
x = −1±√−12−(4⋅2⋅8) / 2⋅2
x = 1±√1−64 / 4
x = 1±√−63 / 4
x = 1±√63⋅−1 / 4
x = 1±√63√−1 / 4
x = {1−√63i / 4 , 1±√63i / 4}
a square room has an area of 200 square feet. how long is each wall? show your work to explain why
Answer:
about 14.142ft
Step-by-step explanation:
A square has four equal sides.
The area of a square: length * width = area
Because you know that all of the sides are equal, you can just say:
length * length = area
Multiplying a value (in this case, length) by itself is the same thing as squaring it. So, you can simplify the equation further by writing:
length² = area
Fill in what you know:
length² = 200ft²
Now, work the problem backwards by taking the square root of 200 to find the length:
√length² = √200ft²
length = 14.142ft
So, each wall is 14.142ft long
You can test this by working the problem in reverse:
14.142ft * 14.142ft ≈ 200ft²
The ratio of boys to girls in a group is 3:1. If there are 28 more boys than girls, work out how many people there are in total.
Answer:
84:56, I think?
3 x 28 for the boys then minus 28 for the girls
HELP ASAP ?!?!?!??!!!
Answer:
B: $1,344
Step-by-step explanation:
Okay simple we know that it is guaranteed to be at least $1,200. So A. Isn't an option. So it's 4% over three years. So that makes a total of 12%. 12% of 1,200 is 144. But as I said it isn't A. so now one step is left...
$1,200+$144=$1,344
What is 4 2/3 + 1/6?
Answer: 4 2/3 + 1/6 = 4 5/6
Step-by-step explanation:
4 2/3 + 1/6
Add whole numbers 4+0: 4
Combine fractions 2/3 + 1/6: 5/6
= 4 + 5/6 = 4 5/6
Jina, Chang, and Kevin sent a total of 130 text messages over their cell phones during the weekend. Chang sent 3 times as many messages as Kevin.
Kevin sent 5 fewer messages than Jina. How many messages did they each send?
Answer:
Let the no. of messages Jina send be x.
No. of messages Kevin send=x-5
No. of messages Chang send=3(x-5)
=3x-15
x+(x-5)+(3x-15)=130
x+x-5+3x-15=130
x+x+3x-5-15=130
5x-20=130
5x=130+20
=150
x=150÷5
=30
No. of messages Jina sent=30
No. of messages Kevin sent=30-5
=25
No. of messages Chang sent=3(30)-15
=90-15
=75
