The absolute value of the equation will not work because the value of x would have to be negative for the perimeter to be 6 ft plus or minus 1.5 ft.
What is the perimeter of the rectangle?The perimeter of the rectangle is given as:
Perimeter = 2(Length + Breadth)
The perimeter of a rectangle is 6 feet plus or minus 1.5 feet.
So, we have:
Perimeter = 2(Length + Breadth) = 6 feet ± 1.5 feet.
Then Substitute values for length and width
2(Length + Breadth) = 6 feet ± 1.5 feet.
2(4 + x) = 6 feet ± 1.5 feet.
Now,
2(4 + x) = 6 feet + 1.5 feet.
8 + 2x = 6.5 ft
2x = 6.5 - 8
x = -0.25 ft
2(4 + x) = 6 feet - 1.5 feet.
8 + 2x = 4.5 ft
2x = 4.5 - 8
x = -1.75ft
Here Both values of x are negative.
This means that the absolute value model can't work, because a rectangle cannot have a negative dimension.
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A quality standard says that no more than 2 percent of the eggs sold in a store may be cracked. In 3 cartons (12 eggs each carton) 2 eggs are cracked.
Answer:
The quality standard is violated.
Step-by-step explanation:
In 3 cartons of eggs no more than 2% are crack.
Let's find out how many eggs are in the 3 cartons.
(3)(12) = 36
There are 36 eggs in all 3 cartons. To find how many are supposedly cracked we need to multiply 36 by the decimal for of 2%.
To change a percent to decimal form we move the decimal of the percent twice to the left. So 2% turns in to .02.
Now, multiply:
(36)(.02) = 0.72
Not even 1 egg in all 3 batches should be cracked.
Therefore, the quality standard has been violated.
In order for the quality standard to be upheld there would have to be 100 eggs and only 2 of them be cracked.
I hope this helps!!
- Kay :)
i Ready Understand Absolute Value - Inst Compare the two numbers. -6 or -7
-7 is less than -6 and -6 is greater than -7.
The absolute value of -7 is greater than the absolute value of -6 and the absolute value of -6 is less than the absolute value of -7.
What restriction should be applied to y = tanx for y = arctanx to be defined?
Answer:
restrict the domain to (-pi/2, pi/2)
Step-by-step explanation:
edge 2020
Answer: c. restrict the domain to (-pi/2, pi/2)
Step-by-step explanation:
Edge :)
Which point lies on the y-axis?
Answer:
(0,2)
Step-by-step explanation:
Does the MVT apply? Explain why or why not.
y=x^2/4x + 4 ;
[-6, -2]
Hello!
[tex]\large\boxed{\text{Yes, it does.}}[/tex]
In order to use the MVT, the function must be continuous over the given interval.
[tex]y = \frac{x^{2} }{4x}+4[/tex]
Simplifies to:
[tex]y = \frac{x}{4} + 4[/tex]
This is a linear equation that is continuous on the interval (-∞, ∞), which means that it would also be continuous on the interval [-6, -2]. The MVT would apply to this function.
HElP HeLp HeLp PLEAse
Answer:
c. 35 miles per hour
pls answer all the questions
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Step-by-step explanation:
Mira has breakfast at a restaurant she leaves a 20% tip of $1.80 what is the price of breakfast before the tip
♡ Answer ♡
$9
♡ Step-by-step explanation ♡
In the problem, it states that Mira leaves a $1.80 tip. At the same time, it is also mentioned that the tip is 20% of the price of breakfast before it. This means that $1.80 is 20% of the price of breakfast before the tip. In order to figure out the price of breakfast before the tip, we must take the 20% tip and make it into 100%. This 100% will be equivalent to the price of breakfast (before the tip).
To transform 20% into 100%, we must multiply by 5. Therefore, to find the price of breakfast before the tip, we must multiply $1.80 by 5. When we do this, we discover that $1.80*5 is $9. $9 is 100% of the price of breakfast before the tip.
So, the price of breakfast before the tip is $9.
A/N (Author's Note): I hope this helps/helped those that may be reading this. Have a fantastic week reader(s)!
Use the fact that 1 inch = 2.54 centimeters to convert 10 yards to centimeters. Round to the nearest tenth
From unit conversion, it was found that 10 yards = 914.4 cm.
Unit ConversionThe unit of a length is essential information. There are different units for the length. In the International System Units (SI), the standard unit for length is the meter (m). Nonetheless, there are others units, for example: inches (in) and yard (yd).
1 in = 2.54 cm
1 yd = 36 in
The question asks the conversion 10 yards to centimeters. Therefore, you should know the relation between the units for solving this question.
First, you will convert 10 yards to inches. Thus,
1 yd -------- 36 in
10 yd ------- x in
x=36*10
x=360 in
After that, you should find the value in centimeters .
1 in -------- 2.54 cm
360 in --------- x cm
x=360*2.54
x= 914.4 cm
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A car dealerships sells cars for c dollars. They then apply a 12% markup to all of the cars. Which of the following expression can be used to calculate the
new price of the cars? Select all that apply.
c(12)
c(.12)
c(1.12)
c+ c(.12)
Answer:
c(1.12)
Step-by-step explanation:
A bakery sells 6 rolls for $1.50. If this relationship is graphed with the number of rolls on the x-axis and the cost on the y-axis, what is the slope of the graph in dollars per roll?
Answer:0.25
Step-by-step explanation: 1.50÷6
The slope of the graph in dollars per roll is 0.25.
What is the slope of a line?The slope of a line indicates the direction and the steepness of the line.
Given that, the bakery sells 6 rolls for $1.50.
The slope of the line in dollars per roll is given by:
(total cost)/(total roll)
= 1.50/6
= 0.25
Hence, the slope of the graph in dollars per roll is 0.25.
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PLEASE ANSWER THIS QUESTION RIGHT PLEASE Nyah is tossing a ball with her younger cousin Gideon The height of the ball in feet, H (t) The time in seconds T that the ball is in the air are represented on the given graph.Which of the following statements are true?
Answer:
the 4th it hits 10 after 2 seconds
Step-by-step explanation:
the ball starts at (6,0) feet/height 0 seconds, then is thrown, at the slope/ top is where the ball accelerated or went the highest is (10,2) ten feet, two seconds, and was able to stay in the air for 6 and ends at (0,6 1/8) 0 feet and 6 1/8 seconds, that is why the the slope curves down, showing that the ball has landed but this is not exactly 6 seconds. hope this helps
40, 10, 5/2 5/8... (fractions) is it arithmetic or geometric and what are the next two terms PLZ HELP DUE IN 10 MINS
Answer:
Please check the explanation.
Step-by-step explanation:
Given the sequence
[tex]40,\:10,\:\frac{5}{2},\:\frac{5}{8}[/tex]
A geometric sequence has a constant ratio 'r' and is defined by
[tex]\:a_n=a_0\cdot r^{n-1}[/tex]
Computing the ratios of all the adjacent terms
[tex]\frac{10}{40}=\frac{1}{4},\:\quad \frac{\frac{5}{2}}{10}=\frac{1}{4},\:\quad \frac{\frac{5}{8}}{\frac{5}{2}}=\frac{1}{4}[/tex]
The ratio of all the adjacent terms is the same and equal to
[tex]r=\frac{1}{4}[/tex]
Thus, the given sequence is a geometric sequence.
As the first element of the sequence is
[tex]a_1=40[/tex]
Therefore, the nth term is calculated as
[tex]\:a_n=a_0\cdot r^{n-1}[/tex]
[tex]a_n=40\left(\frac{1}{4}\right)^{n-1}[/tex]
Put n = 5 to find the next term
[tex]a_5=40\left(\frac{1}{4}\right)^{5-1}[/tex]
[tex]a_5=40\cdot \frac{1}{4^4}[/tex]
[tex]a_5=\frac{40}{4^4}[/tex]
[tex]=\frac{2^3\cdot \:5}{2^8}[/tex]
[tex]a_5=\frac{5}{2^5}[/tex]
[tex]a_5=\frac{5}{32}[/tex]
now, Put n = 6 to find the 6th term
[tex]a_6=40\left(\frac{1}{4}\right)^{6-1}[/tex]
[tex]a_6=40\cdot \frac{1}{4^5}[/tex]
[tex]a_6=\frac{40}{4^5}[/tex]
[tex]=\frac{2^3\cdot \:5}{2^{10}}[/tex]
[tex]a_6=\frac{5}{2^7}[/tex]
[tex]a_6=\frac{5}{128}[/tex]
Thus, the next two terms of the sequence 40, 10, 5/2, 5/8... is:
[tex]a_5=\frac{5}{32}[/tex][tex]a_6=\frac{5}{128}[/tex]area of a triangle is 240 centimetre square and its base is 20 CM then find its height of the triangle
3. The area of a rectangle is 37 square meters. If the length is 5 times the width, then find the dimensions of the rectangle. Round off your answers to the nearest hundredth
Answer:
length is 13.6m
width is 2.72m
Milena is trying to determine an expression to represent the amount of punch she needs to make for her party.
Her expression is 3g + 20. Match the value of g with the correct substituted expressions.
g = 15
g=10
g=38
g=20
3(10)+20
3(20)+20
3(38)+20
3(15)+20
Answer:
g=15 3(15)+20, g=10 3(10)+20, g=38 3(38), g=20 3(20)+20
Step-by-step explanation:
theres your answer!
eh hi btw-
Someone pls show there work give extra points
Answer: C/pi=d
Step-by-step explanation: You could think of it like a one or two step equation. For example: 12=3x solve for x. You would do 12/3=4. Same thing here, C=pi*d= C/pi.
3(1)+2(_)=6
plz help on filling in the blank
Answer:
x = 3/2
Step-by-step explanation:
Let's solve your equation step-by-step.
(3)(1)+2x=6
Step 1: Simplify both sides of the equation.
(3)(1)+2x=6
3+2x=6
2x+3=6
Step 2: Subtract 3 from both sides.
2x+3−3=6−3
2x=3
Step 3: Divide both sides by 2.
2x/2 3/2
x = 3/2
Hope this helps :)
Simplify: x - 12 +5 - 4x
Answer:
-3x -7
Step-by-step explanation:
Add the numbers:
x-12+ 5-4x
x-7 -4x
Combine like terms:
x-7 -4x
-3x -7
Solution:
-3x -7
Show that f '(x) = g'(x) for all x in their domains. Can we conclude from the corollary below that f − g is constant? If f '(x) = g'(x) for all x in an interval (a, b), then f − g is constant on (a, b); that is, f(x) = g(x) + c where c is a constant.
Answer:
Answer: 15 cm
Step-by-step explanation:
The derivative of a function at a point can be defined as its slope at that point. For f'(x) = g'(x) in the interval (a,b), it is proved that f - g is constant in (a,b).
What is a Derivative?A derivative of a function is its rate change of increase or decrease in a given interval with respect to its variable. Derivative of a constant function is always zero.
Given that, f'(x) = g'(x) for all x.
Taking integral on both sides
f(x) + C₁ = g(x) + C₂
=> f(x) - g(x) = C₂ - C₁
=> f(x) - g(x) = C
Thus, f(x) - g(x) is constant is proved.
Similarly for interval an interval (a,b),
f(x) - g(x) = C
=> f(x)= g(x) + C
Hence, it is proved that in an interval (a,b), if f'(x) = g'(x) then f(x)= g(x) + C.
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Please need help on this one
Answer:
ΔEFD and ΔXYZ
pls help me on this
Answer:
Each box will have $14
Step-by-step explanation:
The problem divides the total bill into 5 boxes so divide the total bill ($70) by 5.
2
Select the correct answer.
Write an expression to represent the product of 6 and the square of a number plus 15.
In your expression, what is the value of the coefficient?
OA 1
OB 6
ос 2
OD. 15
Reset
Next
Answer:
C=2
Step-by-step explanation:
What is the value of the expression 10^3 – 30 divided by 2 x 5 ?
A 0
B) 27
C) 100
D) 925
What is the inverse of the statement?
A number that has exactly two distinct factors is prime.
If a number has exactly two distinct factors, then the number is prime.
If a number does not have exactly two distinct factors, then the number is not prime.
If a number is not prime, then the number does not have exactly two distinct factors.
If a number is prime, then the number has exactly two distinct factors.
The inverse statement of "if number that has exactly two distinct factors is prime" is that B. If a number that does not has exactly two distinct factors is not prime"
How to illustrate the information?Each of the original statements is presupposed to be false in an inverse statement. "If it is not snowing" would be the polar opposite of "If it is snowing." "Then it is not chilly" would be the polar opposite of "then it is cold."
In this case, the inverse statement of "if number that has exactly two distinct factors is prime" is that B. If a number that does not has exactly two distinct factors is not prime.
Therefore, based on the information, the correct option is B.
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A pretzel stick measures 6 inches in length Mr Bates just took a bite of it and now it is 35% smaller Which of the following expressions can be used to
6(0.35)
6(0.65)
6-6 (0.35)
6- 6 (0.65)
Answer: B.
Step-by-step explanation: Mr. Bates made the pretzel 35% SMALLER. That means that the remains of the pretzel is 65% of the original 100% of the pretzel. Therefore, the answer is B.
How many laps can Jayden complete in 18 minutes
please help me I don't understand what to do
Answer:
55 OZ
Step-by-step explanation:
Without graphing, classify each system
independent, dependent, or inconsistent
15x = 10y - 20
18 + 9x = 6y
Answer:
Inconsistent
Step-by-step explanation:
None
Can someone please help this is due at 9
Answer:
70
Step-by-step explanation:
We have the final part 4x/40 = 7. We can simplify this to x/10 = 7 by dividing the numerator and the denominator by 4. We then multiply both sides by 10 to get x = 70