The absolute value inequality for the temperature T is:
|T - 32°C| < 0.96°C
How to write the absolute value inequality?
The general way of writing these inequalities is:
|variable - average value| < accepted error.
Here the variable is the temperature so we can use T for it.
The average is 32°C, and the accepted error is less than 3%, so it is:
0.03*32°C = 0.96°
Then the absolute value inequality will be:
|T - 32°C| < 0.96°C
Where it means that the temperature will be at less of 0.96°C of the 32°C.
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Find g(f(x)) when f(x) = 3x2 + x - 8, and g(x) = 4x + 5.
Answer: 12x^3 + 19x^2 -27x -40
Step-by-step explanation:
Finding f(x) times g(x) is multiply the two polynomials
(4x+5)(3x^2 + 1x -8) Apply the distributive property twice to solve
4x ( 3x^2 + 1x -8)
12x^3 + 4x^2 - 32x
5(3x^2 + 1x -8)
15x^2 + 5x - 40
12x^3 + 4x^2 - 32x + 15x^2 + 5x -40 now combine like terms
12x^3 + 19x^2 -27x -40
The function g(f(x)) will be written as g(f(x)) = 12x² + 4x - 27.
What is a function?A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.
The functions are given below.
f(x) = 3x² + x - 8 and g(x) = 4x + 5
The function g(f(x)) is written as,
g(f(x)) = 4(3x² + x - 8) + 5
Simplify the function, then we have
g(f(x)) = 4(3x² + x - 8) + 5
g(f(x)) = 12x² + 4x - 32 + 5
g(f(x)) = 12x² + 4x - 27
The capability g(f(x)) will be composed as g(f(x)) = 12x² + 4x - 27.
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what value of x would make AOB a line in the following figure if, angle AOC = 4x & angle BOC = 6x + 30° ?
Answer:
15
Step-by-step explanation:
6x+30+4x=180
10x+30=180
10x=180-30
10x=150
x=15
A family buys b boxes of frozen waffles each containing w waffles. Each week the family eats x waffles. Write an equation in terms b,w,x that represents the number of remaining waffles r, after 2 weeks
Answer:
r=b(w)-2x
Step-by-step explanation:
were solving for r so that is our end variable
sense we dont know how many boxes there are we just put b in the equation by itself, multiplying it with w since that represent the total number of waffles
b(w)
Ex: they buy 2 boxes and each box contains 24 waffles
b=2 and w=waffles
it then says each week they eat x amount of waffles, meaning its the same number for every week allowing us to multiply it with the number of weeks.
2x
Ex: say the family eats 10 waffles per week week, meaning x=10, well the we just multiply the 10 by the number of weeks
Answer: r = b(w) - 2x
The number of remaining waffles r, after 2 weeks is r=bw-2x.
Given that, a family buys b boxes of frozen waffles each containing w waffles.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.
The number of remaining waffles r, after 2 weeks.
Number waffles = Number of boxes × Number of waffles in each box
= b × w
= bw
Now, number of waffles left after 2 weeks = 2x
So, equation is r=bw-2x
Therefore, the number of remaining waffles r, after 2 weeks is r=bw-2x.
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need help 20x = 340
Answer:
17
Step-by-step explanation:
divide 20 from both sides to get x=17
answer : x= 17
20x17=340
A pool charges a membership fee of $40 for the summer and $1 for each visit. A different pool charges no membership fee but it costs $5 for each visit. How many visits would the two pools cost the same amount? A)40 visits B)10 visits C)5 visits D)they'll never cost the same amount
Answer:
B) 10 visits
Step-by-step explanation:
Let the number of visits be x.
Pool A cost: 1x + 40 = x + 40
Pool B cost: 5x
Set the two costs equal and solve for x.
x + 40 = 5x
Subtract 5x from both sides. Subtract 40 from both sides.
-4x = -40
Divide both sides by -4.
x = 10
Answer: B) 10 visits
can someone please help
Explanation:
The rule [tex](x,y) \to (-x,y)[/tex] has us flip the sign of the x coordinate from positive to negative (or vice versa). This applies a reflection over the y axis. For example, the point (5,6) moves to (-5,6).
Currently this shape is in quadrant 1. The quadrants start in the top right corner, and you move counterclockwise going to quadrants 2,3, and 4. Quadrant 2 is to the left of quadrant 1, and this is where all of the points end up after applying a reflection over the y axis.
Given f(x) = 2x + 5, find x when f(x) = 45
Step-by-step explanation:
f(x) = 2x + 5 = 45
2x + 5 = 45
2x = 45 - 5
2x = 40
x = 20
Answer:
f(x) = 2x + 5 = 45
2x + 5 = 45
5-25=2x
40=2x
x = 20
f(x) = sqrt(x^2 + 3) ; g(x) = sqrt(X-2)
Find f(g(x))
Answer:
F(x) = sqrt(x^2 + 3) ; g(x) = sqrt(X-2)
f(g(x))= √[{√(x-2)²+3}]
=√[{x-2+3}]
√(x+1)
Step-by-step explanation:
convert 2.5 years to hours
Answer:
21900 hours
Step-by-step explanation:
To change years to hours, you need to multiply it by 8760. So 2.5*8760= 21900
Answer: 21,914.55 hours
I hope my answer helps you! :)
PLEASE HELP WILL MARK BRAINLIEST
Answer:
Step-by-step explanation:
x^2 = 64
√x² = √64
x = 8, -8
answer is B
A railroad track follows a straight path from station A to station B. What is the distance traveled by the railroad track from station A to station B before completing its journey until station C? Distance travelled from station A to station C is 3x+4 and from station B to C is 6x-4.
Answer:
-3x + 8
Step-by-step explanation:
The railroad track moves in a straight path from station A to station B and then from station B to station C.
Let the distance from station A to station C be AC and the distance from station B to station C as BC while the distance from station A to station B be AB the following equation holds:
AC = AB + BC
Given the distance from station A to station C is 3x + 4 and from station B to C is 6x-4, Hence:
AC = 3x + 4 and BC = 6x - 4.
Using the line segment addition postulate:
AC = AB + BC
3x + 4 = AB + (6x - 4)
AB = 3x + 4 - (6x - 4)
AB = 3x + 4 - 6x + 4
AB = 3x - 6x + 4 + 4
AB = -3x + 8
how do you solve 1-(6-3)
Answer:
-2
Step-by-step explanation:
1-(6-3)
multiply the negative into the bracket so it becomes
= 1-6+3
= -2
Given the Venn diagram below, which statement must be true?
the Venn diagram below, which statement must be true? If a number is an irrational number, it must also be a rational number. All integers are also whole numbers. All integers are also rational numbers. All natural numbers are irrational numbers.-by-step explanation:
If m∠ABD = 70° and m∠CBD = 30°, then m∠ABC = ?
Answer:
40° or 100°.
Step-by-step explanation:
If Angle ABD = 70° and Angle CBD = 30° Angle ABC can be 70° + 30° or 70° - 30°.
angle ABC measures 100 degrees.
To find the measure of angle ABC, we can use the fact that the sum of the angles in a triangle is 180 degrees.
In triangle ABC , we have angle ABD measuring 70 degrees and angle CBD measuring 30 degrees.
Since angle ABD and angle CBD are adjacent angles, they add up to form angle ABC.
Therefore, we can calculate angle ABC as follows:
m ∠ ABC = m ∠ ABD + m ∠ CBD
m ∠ ABC = 70° + 30°
m ∠ ABC = 100 degrees
Thus, angle ABC measures 100 degrees.
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Write the integer that represents $32 withdraw.
Answer: -32
You are taking away from "withdrawal"
WILL GIVE BRANLIEST
5(x + 2) over
2x - 14
x = 10
Answer:
10 .......................
=5(10+2)/2(10)-14
=60/6
=10
mark ice bear Brainliest
1 Find the shaded area for each of the following shapes.
b
d
6.0m
28 mm
14 cm
40 mm
submitted response:
Answer:
the answer is 40
The quotient of x and 4
Answer:
x/4
x divided by 4
Change the repeating decimal to a fraction:
0.376376376...
Let x = 0.376376376...
Then 1000x = 376.376376376...
So we have
1000x - x = 376.376376376... - 0.376376376...
999x = 376
x = 376/999
0.56 as a fraction in simplest form.
Answer:
14/25
Step-by-step explanation:
0.56=56/100=28/50=14/25
1) What percentage of 48 is 62?
Answer:
77.42
Step-by-step explanation:
48/62=77.42
What is the probability of choosing a number from 1 to 10 that is greater than 5 or even?
Answer:
3/10 or 30%
Step-by-step explanation:
The longest, yet easiest way to do this is to find all possible numbers that fit this scenario
1, 2, 3, 4, 5, 6, 7, 8, 9, 10
Even Numbers: 2, 4, 6, 8, 10
Greater Than 5: 5, 6, 7, 8, 9, 10
Now find common numbers in both categories
6,8, and 10
meaning the probability is 3/10 or 30%
Could someone help me write and equation and the soultion Will chose brainlest
Answer:
Step-by-step explanation:
1. Equation: x + 50 = 180 degrees
Solution: x = 180 - 50
x = 130 degrees
2. Equation: x + 45 = 90 degrees
Solution: x = 90 - 45
x = 45 degrees
Answer:
the answer is choose not chose
Step-by-step explanation:
what is the quotient and the remainder of 3,383 divided by 8?
Quotient: 422
Remainder: 75
Answer: 422.75
What is the correct answer?
Answer:
C
Step-by-step explanation:
c
HELP ASAP!!!!
32 + (12/3)2 * 2-5
-0.2(-67+22)=2(7n 3)-8n =?
Look at the table showing prices of orange juice.
Prices of Orange Juice
Pint (16 oz)
Quart (32 oz)
Half-Gallon (64 oz)
Gallon (128 oz)
$1.28
$1.92
$4.48
$11.52
Which is the best value for buying orange juice?
pint
quart
half-gallon
gallon
Answer:
B quart
Step-by-step explanation:
Answer:
the answer will be B quart
Step-by-step explanation:
Help please! I have to finish this by today.
14.025, 40/3, square root 170, 14%
Calculator, the end
Answer: Answers
Step-by-step explanation:
The first option
So um I need help and plz explain it