Answer:
7.40 for 5 liters
Step-by-step explanation:
2.98/2= 1.49
7.40/5= 1.48
Determine the area of the rectangle with perimeter 82 inches and maximum area.
Answer:
Area = 420.25 in²
Step-by-step explanation:
A rectangle is a quadrilateral (has four sides and four angles) with two pairs of opposite and parallel sides. All angles in a rectangle are 90 degrees each. Also, opposite sides are equal.
Let x represent the length of the rectangle and y represent the width of the rectangle. Hence:
Perimeter = 2(length + width)
82 = 2(x + y)
x + y = 41
x = 41 - y
The area of the rectangle (A) = length * width
A = xy
substitute x = 41 - y:
A = (41 - y)y
A = 41y - y²
The maximum area occurs at A' (dA / dy) = 0. Hence:
A' = 41 - 2y
0 = 41 - 2y
2y = 41
y = 20.5 inches
substitute y = 20.5 inches in x = 41 - y:
x = 41 - y = 41 - 20 .5
x = 20.5 inches
The area = xy = 20.5 in * 20.5 in
Area = 420.25 in²
Answer:
420.25 in²
Step-by-step explanation:
Debbie invested money in an account which pays 5% annual interest. After one year she had earned $102 interest. How much money did she invest
Step-by-step explanation:
A = P(1 + r)^t
(P + $102) = P[1 + (0.05)]^(1)
P + $102 = 1.05P
0.05P = $102
P = $2,040.
Hence Debbie invested $2,040.
unit meaure of ice cream?
Answer:
what the question
Step-by-step explanation:
where your question?
What is the horizontal asymptote of the function
Answer:
The horizontal asymptote of this function is y=0
Step-by-step explanation:
In case you need the vertical asymptote as well, it is x=3, but the horizontal asymptote is y=0.
IS 7 7 Solve for a = √[? [] a a = 4 Enter the number that goes beneath the radical symbol 4 Enter
Answer:
[tex]a=\sqrt{33}[/tex]
Step-by-step explanation:
When we solve for this we should always remember this formula [tex]a^2+b^2=c^2[/tex] and since we already know b and c we can plug that in to find out what a could be but we won't actually solve it.
[tex]a^2+b^2=c^2\\a^2+4^2=7^2\\a^2+16=49\\a^2=33\\\sqrt{a^2}=\sqrt{33}\\a=\sqrt{33}[/tex]
So a would equal whatever the square root of 33 is.
There ard 86,400 seconds in one day. If Mr. Liegel is at work for
28,800 seconds a day, how many seconds a day is he away from
work?
Answer:57,600 seconds
Step-by-step explanation:
86,400 - 28,800 = 57,600
Stories
1. A fishing boat can hold fewer than 9
people. How many people ex can it
hold?
(4m+7n-6p)-(2m-3n-4p)
Answer:
2m + 10n - 2p
General Formulas and Concepts:
Pre-Algebra
Distributive PropertyAlgebra I
TermsStep-by-step explanation:
Step 1: Define
(4m + 7n - 6p) - (2m - 3n - 4p)
Step 2: Simplify
Distribute negative: 4m + 7n - 6p - 2m + 3n + 4pCombine like terms (m): 2m + 7n - 6p + 3n + 4pCombine like terms (n): 2m + 10n - 6p + 4pCombine like terms (p): 2m + 10n - 2pFactor the trinomial. Factor out the GCF first.
5x^2y - 30xy^2 - 35y^3
Answer: [tex]5x^2y - 30xy^2 - 35y^3=5y(x+y)(x-7y)[/tex]
Step-by-step explanation:
GCF = Greatest common factor.
For example: 6 is the GCF of 12 and 18.
The given expression: [tex]5x^2y - 30xy^2 - 35y^3[/tex]
It can be written as
[tex]5x^2y - (5\times6)x( y\times y) - (5\times7)(y^2\times y)[/tex]
Taking out common factor [tex]5y[/tex] , we get
[tex]5y(x^2-6xy-7y^2)\\\\ =5y(x^2+xy-7xy-7y^2)\ \ [\because-6xy=xy-7xy]\\\\=5y(x(x+y)-7y(x+y))\\\\= 5y((x+y)(x-7y))\\\\=5y(x+y)(x-7y)[/tex]
Hence, [tex]5x^2y - 30xy^2 - 35y^3=5y(x+y)(x-7y)[/tex]
Select the equation that is true for all values of x.
(Select all that apply.)
7x = 7x
x - 6 = 6 - X
x.2.(-6) = x : 3.4
Answer:
the first equation is True, second one is not and I'm not sure what the third equation is . . .
Step-by-step explanation:
Equation 7x=7x is true for all values of x. Therefore, option A is the correct answer.
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 =.
Here,
A) 7x=7x
So, the equation that is true for all values of x.
B) Now, x-6=6-x
The equation that is not true for all values of x.
C) x.2.(-6) = x:3.4
The equation that is not true for all values of x.
Therefore, option A is the correct answer.
To learn more about an equation visit:
https://brainly.com/question/14686792.
#SPJ2
Show that the function of f(x) = a - x is its own inverse for all real numbers a
f(x) = a - x
y = a - x
y + x = a - x + x
y + x = a
y + x - y = a - y
x = a - y
f-¹(x) = a - x
The inverse of a function is the opposite of the function.
See below for the proof of: [tex]\mathbf{f(x) = f^{-1}(x)}[/tex]
The function is given as:
[tex]\mathbf{f(x) = a - x}[/tex]
Rewrite as:
[tex]\mathbf{y = a - x}[/tex]
Swap x and y
[tex]\mathbf{x = a - y}[/tex]
Make y the subject
[tex]\mathbf{y = a - x}[/tex]
Rewrite as:
[tex]\mathbf{f^{-1}(x) = a - x}[/tex]
Hence:
[tex]\mathbf{f(x) = f^{-1}(x) = a - x}[/tex]
Read more about inverse functions at:
https://brainly.com/question/10300045
Use synthetic substitution to find f (-5) for f (x) = x^3– 5x +2.
Answer:
_5*_5*_5=_125
_5(_5)=25
25+2=27
_125+27=_98
A sculptor has just finished creating a large wooden sphere for a sculpture he is working on. The sphere has a radius of 4.3 feet and weighs approximately 10,578.59 pounds. What is the approximate density of the wood used to create the sphere? I need help
You might need:
Calculator
Emelia registers vehicles for the Department of Transportation. Sports utility vehicles (SUVs) make up 12% of
the vehicles she registers. Let V be the number of vehicles Emelia registers in a day until she first registers an
SUV. Assume the type of each vehicle is independent.
Find the probability that Emelia registers more than 4 vehicles before she registers an SUV.
You may round your answer to the nearest hundredth.
P(V > 4) =
Show Calculator
Stuck? Watch a video or use a hint.
Report a problem
Do 4 problems OOOO
Answer: 0.6
Step-by-step explanation:
Probability (Emelia registers more than 4 vehicles before she registers an SUV) = 0.6
Given :
V = Number of vehicles before SUV registration Prob (Choosing SUV) = 12% = 0.12So ;
Prob (Not choosing SUV) = 1 - Pr (SUV) = 1 - 0.12 = 0.88
Hence ;
P (V > 4) = P (V not < 4) = First 4 vehicles are non SUV
= 0.88 x 0.88 x 0.88 x 0.88 = 0.5996 ≈ 0.60
To learn more, refer https://brainly.com/question/11234923?referrer=searchResults
What is the solution to this inequality x-7>8
Answer:
Choice a: [tex]x>5[/tex]
Step-by-step explanation:
All you have to do on this one is add the 7 on both sides.
[tex]x-7>8\\x>5[/tex]
So the answer is anything greater than 5.
What is the slope of the line?????
A: 1
B: -2
C: 0
D: no slope
please help me please help
Answer:
y=-1/2x-7
Step-by-step explanation:
k(4 - 17) in expanded form
Answer:
I think Its k x (4 - 17)
You're Welcome =D
a package of 8 rechargeable batteries cost 12. at the rate how much would 20 rechargeable batteries would cost
Step-by-step explanation:
8 battery =12
20 battery =?(x)
8x=240
x=240÷8
x=30
for 20 battery..it would cost 30
please help me please
pls help :( GIVING BRAINLIEST!
Answer:
D
Step-by-step explanation:
12 ÷ 3 = 4
24 ÷ 6 = 4
45 ÷ 9 = 5
60 ÷ 12 = 5
These don't match
What are the factors of 1,643? Please Help me!
Answer:
1, 31, 53, 1643 are the factors
Step-by-step explanation:
The factor pairs of 1,643 are:
1 × 1643 = 1,643
31 × 53 = 1,643
Answer:
1 , 31, 53, 143
Step-by-step explanation:
To get the factor pairs of 1,643
we do the following
1 × 1643 = 1,643
31 × 53 = 1,643
realiza las siguientes adiciones y halla abc
2+22+222+2222+...+22 222 222=abc
Answer:
sssssssssiiiiiiiiiiiiii
Answer:
6
Step-by-step explanation:
A large bag contains the following marbles: •
40 blue marbles
8 green marbles
16 yellow marbles
21 white marbles
Tyra selects a marble from the bag at random. Based on the information, which statement is true?
A The marble she selects is twice as likely to be yellow as it is to be green.
B.The marble she selects is more likely to be blue than all the other colors combined.
C. The marble she selects is equally likely to be yellow or white
D. The marble she selects is three times as likely to be white as it is to be green.
Answer:
it either B or C
Step-by-step explanation: cause all of the number added is 45 so it could be any of them.
Six friends ate in a restaurant together and split the total cost, c, equally. Each person paid less than $8. Which statements represent the scenario? Check all that apply.
The total cost of the food, c, can be represented by the inequality StartFraction c Over 6 EndFraction less-than 8.
The total cost of the food could be $48
.
The total cost of the food could be $36.
When graphed, the number line would be shaded to the left of the maximum value.
The total cost of the food must be greater than $60.
100 BRAINLY POINTS
Answer:
The total cost could be $36
Step-by-step explanation:
36/6 = 6
6 is less than 8
Answer:
A, C, and D are the correct answers.
Step-by-step explanation:
A) The total cost of the food, c, can be represented by the inequality c/6 < 8
C) The total cost of the food could be $36.
D) When graphed, the number line would be shaded to the left of the maximum value.
It's A because the 6 friends SPLIT the total cost which is c, and each person paid LESS than $8 dollars, not $8 and above. So it will look like, "total cost/6 people is less than 8" aka "c/6 < 8"
It's C because if each person paid less than $8 dollars, the total is anything under 48. (6 x 8 = 48, and 6 x 6 = 36, and 6 is less than 8.)
It's D because anything LESS than the max value could be the value to c/6. So anything to the left of 8, is less than 8, and anything to the right of 8, is greater than 8, and we want what is "< 8" less than 8 so it has to be to the left.
a floor plan is drawn using a scale of 3cm/15ft what length is represented by 1 centimeter ?
Answer:
1cm= 5ft.
Step-by-step explanation:
divide 15 by three
Select all that justify the following statement.
10 + x • 12 = 12x + 10
commutative - addition
identity - addition
associative - multiplication
commutative - multiplication
symmetric
associative - addition
distributive
Answer:
A
Step-by-step explanation:
A tennis ball has a diameter of 2.7 in. How many tennis balls will fit inside of a storage
unit that is 4 feet wide, 2.5 feet long, and 2 feet high?
Step-by-step explanation:
Given that,
The diameter of a tennis ball, d = 2.7 inches
We need to find the number of tennis balls will fit inside of a storage unit that is 4 feet wide, 2.5 feet long, and 2 feet high.
Let there are x number of tennis balls.
[tex]x=\dfrac{\text{Volume of box}}{\text{Volume of 1 tennis ball}}\\\\x=\dfrac{4\times 2.5\times 2}{\dfrac{4}{3}\pi \times (\dfrac{2.7}{3})^3}\\\\x=6.54[/tex]
Approximately
x = 7
Hence, there are 7 balls.
An animal shelter created a dataset for all of the puppies in the shelter. The variables they recorded were tag number, breed, weight (in lbs), age (in years), size (as small, medium, or large), and cuteness (on a scale of 1 to 5). Identify the type of each variable recorded.
Answer:
Quantitative, categorical, continuous, quantitative, categorical, quantitative
Step-by-step explanation:
Tag number will be quantitative, as it is giving the dog a particular number.
Breed will be categorical, as it dividing the dogs in different categories.
Weight (in lbs) will be continous as weight can have infinite values.
Age will be quantitative, as age is a numeric value.
Size will be categorical, as its dividing the dogs in different categories of small, medium or large dog
Cuteness will be a quantitative value, as you are rating them from 1 to 5.
A sphere has a radius of 5.3 centimeters. Which measurement is closest to the volume of the ball in cubic centimeters?
Answer:
623.61 cm³
Step-by-step explanation:
Given:
Radius of sphere (r) = 5.3 cm
Required:
Closest volume of the ball
SOLUTION:
Volume of a sphere = ⁴/3πr³
Radius (r) = 5.3 cm
Plug in the value of r
Volume = ⁴/3*π*5.3³
Volume = ⁴/3*π*148.877
Volume = 623.61 cm³
623.61 cm³ is closest to the volume of the ball.
