Answers
Answer:
24000 ft²
Step-by-step explanation:
Triangle PRS:b = base = PR = 240 ft
2AS = 240 ft
[tex]\sf AS = \dfrac{240}{2}\\\\ AS = 120 \ ft[/tex]
h = height = AS = 120 ft
[tex]\sf \boxed{\bf \ Area \ of \ triangle = \dfrac{1}{2}b*h}[/tex]
[tex]\sf =\dfrac{1}{2}*240*120\\\\ = 120 * 120\\\\ = 14400 \ ft^2[/tex]
Triangle PRQ:b = PR = 240 ft
3BQ = 240 ft
[tex]\sf BQ = \dfrac{240}{3}\\\\ BQ = 80 \ ft[/tex]
[tex]\sf Area \ of \ triangle \ PRQ = \dfrac{1}{2}*240*80[/tex]
= 120 * 80
= 9600 ft²
Area of the quadrilateral PQRS = area of ΔPRS + area of ΔPRQ
= 14400 + 9600
= 24000 ft²
Related Questions
Meredith found the following partial containers of detergent in the basement: 12 quart, 114 gallons, and 34 gallon. how many quarts of detergent did meredith find in all?
Answers
Quarts of detergent 1208
First, we convert each unit to its pint equivalent.
1 gallon =eight US Pint
114 gallons =114 X eight =912 Pint
34 gallon =34 X 8 =272 Pint
further, 1 quart =2 Pint
12 quart = 12 X 2 Pint =24 Pint
including the three values
912+272+24=1208 Pint
therefore, Meredith will want 1,208 Pint boxes.
The unitary technique is a way of solving trouble by way of first finding the fee of a single unit, and then finding the essential value with the aid of multiplying the unmarried unit price.
The system of the unitary technique is to locate the fee of an unmarried unit after which multiply the fee of a single unit to a wide variety of devices to get the vital fee.
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Select the correct answer. which equation is correctly rewritten to solve for x?
Answers
The rewritten equation for the given equation is [tex]x=\frac{h+g}{-f}[/tex]. So, option C is correct.
How to rewrite an equation?A linear equation given in the form ax + b = c can be rewritten to solve for x as below:
ax + b = c
⇒ ax = c - b
∴ x = (c - b)/a
So, here the basic operations such as addition, subtraction, multiplication, and division are used on both sides to rewrite the given equation for solving x.
Calculation:Given equation is -fx - g = h
Step 1: Adding 'g' on both sides
-fx - g + g = h + g
⇒ -fx = h + g
Step 2: Dividing by '-f' on both sides
-fx = h + g
⇒ -fx/-f = (h + g)/-f
∴ x = (h + g)/-f
Therefore, the rewritten equation to solve for x is x = (h + g)/-f.
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Disclaimer: The given question was incomplete in the portal. Here is the complete question.
Question: Select the correct answer. which equation is correctly rewritten to solve for x?
Equation: -fx = h + g
A. x = (g - h)/f
B. x = (h - g)/-f
C. x = (h + g)/-f
D. x = (h + g)/f
write an equation for the line through (5,7) parallel to 2x-5y=15
Answers
Answer:
I don't know.i don't know
y
=
k
x
+
d
if it is of the form =+
y
=
k
x
+
c
and you have ≠
c
≠
d
.
Ok 2+5=15⟹=−25+3
2
x
+
5
y
=
15
⟹
y
=
−
2
x
5
+
3
So we want −2⋅55+=−1
−
2
⋅
5
5
+
c
=
−
1
this implies =1
c
=
1
Please help. will give brainliest
Answers
Answer:
the 4th answer option. W = 153°, P = 71°
Step-by-step explanation:
PQRS ~ TUVW
that means both figures are similar.
and that means that the angles at the corresponding vertexes are the same, and all 4 corresponding sides (and any other pair of corresponding lines like diagonals) have the same scaling factor.
we see due to the proportions of the different parts of the shapes
U corresponds to Q.
T corresponds to P.
W corresponds to S.
V corresponds to R.
therefore, as the angle at S = 153°, so is W.
and as the angle at T = 71°, so is P.
URGENT!!
Given the following table with selected values of f (x) and g(x), evaluate f (g(4)).
x –6 –4 1 3 4
f (x) 4 –1 –6 1 3
g(x) 1 4 3 –4 –6
–4
–1
1
4
Answers
Answer:
f[g(4)] = 4
Step-by-step explanation:
Given table:
[tex]\begin{array}{| c | c | c | c | c | c |}\cline{1-6} x & -6 & -4 & 1 & 3 & 4\\\cline{1-6} f(x) & 4 & -1 & -6 & 1 & 3 \\\cline{1-6} g(x) & 1 & 4 & 3 & -4 & -6 \\\cline{1-6}\end{array}[/tex]
f[g(4)] is a composite function.
When calculating composite functions, always work from inside the brackets out.
Begin with g(4): g(4) is the value of function g(x) when x = 4.
From inspection of the given table, g(4) = -6
Therefore, f[g(4)] = f(-6)
f(-6) is the value of function f(x) when x = -6.
From inspection of the given table, f(-6) = 4
Therefore, f[g(4)] = 4
As we can see
g(4)=-6So
f(g(4))f(-6)4What is the domain of the function represented by the graph? A graph shows an upward parabola on a coordinate plane vertex at (minus 4, minus 4) which intercepts axis at (minus 5, 0), and (minus 3, 0) passes through (minus 3, 1), and (minus 2.5, minus 5). all real numbers x ≤ -2 x ≥ -6 x ≥ 4
Answers
Using it's concept, the domain of the function represented by the graph is all real numbers.
What is the domain of a function?The domain of a function is the set that contains all possible input values for the function.
In this problem, a parabola is used, which has no restriction such as an even root or a fraction, hence the domain is all real values.
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Write Your recurrring decimal 0.255555...... as a fraction
Answers
Answer:
[tex]\frac{23}{90}[/tex]
Step-by-step explanation:
we require 2 equations with the recurring digit placed after the decimal point.
let x = 0.2555.. ( multiply both sides by 10 and 100 )
10x = 2.555... (1)
100x = 25.555.... (2)
subtract (1) from (2) thus eliminating the recurring digits
90x = 23 ( divide both sides by 90 )
x = [tex]\frac{23}{90}[/tex]
Answer:
[tex]\sf \dfrac{23}{90}[/tex]
Step-by-step explanation:
x = 0.25555..... --------------(I)
Number of non-recurring digits is 1. So, multiply equation (I) by 10.
10x = 2.5555.... --------------(II)
Number of recurring digits is 1. So, multiply equation (II) by 10.
100x = 25.5555...... (III)
Subtract equation (II) from (III)
100x = 25.5555........
10x = 2.5555.......
- -
90x = 23
x = 23/90
To make lemonade, I use a ratio of $7$ parts water to $1$ part lemon juice. If I want to make a gallon of lemonade, and there are four quarts in a gallon, how many quarts of water do I need
Answers
Answer:
3 1/2 quarts
Step-by-step explanation:
The fraction of the lemonade that is water can be determined from the ratio of water to lemon juice. That fraction of a gallon is the quantity of interest.
Water fractionOf the 7+1 = 8 parts that make up the lemonade, 7 of those are water. That is, water is 7/8 of the lemonade.
Water quantityOf the 4 quarts of lemonade, the quantity that is water will be ...
(7/8)(4 quarts) = 7/2 quarts = 3 1/2 quarts . . . of water
2 (3/4 - x/3) = 1 1/4
solve for x
Answers
The value of x is 17/12
How to solve for x?The equation is given as
2 (3/4 - x/3) = 1 1/4
Express as improper fractions
2 (3/4 - x/3) = 5/4
Divide through by 2
3/4 - x/3 = 5/9
Collect like terms
x/3 = 3/4 - 5/9
Multiply through by 3
x = 9/4 - 15/9
Evaluate
x = (81 - 30)/36
Evaluate
x = 51/36
Simplify
x = 17/12
Hence, the value of x is 17/12
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Triangle L N M is shown. Angle L N M is 90 degrees and angle N M L is 20 degrees. The length of L N is 21.
Use the diagram to complete the statements.
The measure of angle L is
°.
The trigonometric ratio that uses ∠M and LN to solve for NM is
.
The length of NM, to the nearest tenth, is approximately
.
Answers
The length of the triangle will be equal to 2.7.
How to calculate the length?It should be noted that that sin will be the opposite divided by the hypothenuse.
The measure of angle L is 20°.
This will be:
sin 20 = LN/8
NM = 8 sin 20
NM = 2.7
In conclusion, NM is 2.7.
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Answer: 2.7
Step-by-step explanation: TRUST ME!!! Answer is correct on Edge!!! :)
Instructions: Find the measure of the indicated angle to the nearest degree.
Answers
Answer:
15.78°
Step-by-step explanation:
Let the angle be x.
From the x, the known sides are the opposite side, O(13) and the adjacent side, A(46)
Therefore, The trigonometric ratio is the tangent ratio.
tan x = O/A
tan x =13/46
x = 15.78°
can anyone solve this 100+3-4(4-5) divided by 6+5+5+5+300
Answers
=(100+3-16+20)/(321)
=(107)/(321)
=1/3
Hope it helps : )
Compare the graphs of the functions listed below.
Function 1: y = 0.25x2
Function 2: y = 4x2
Function 3: y = -½x2
Function 4: y = -16x2
The graph of
✔ function 1
is the widest.
The graph of
is the narrowest.
Answers
Answer:
Function 1 is the widestFunction 4 is the narrowestStep-by-step explanation:
The graph is widest when the coefficient of [tex]x^2[/tex] has the smallest absolute value.
The graph is narrowest when the coefficient of [tex]x^2[/tex] has the largest absolute value.
By comparing the graphs of the functions, function 1: y = 0.25x2 is the widest and function 4: y = -16x2 is the narrowest.
The graph is widest when the coefficient of [tex]x^{2}[/tex] has the smallest absolute value.
The graph is narrowest when the coefficient of [tex]x^{2}[/tex] has the largest absolute value.
The answer lies in the coefficient for the [tex]x^{2}[/tex] term. When the absolute value of the coefficient gets bigger, the graph gets narrower (positive and negative simply show the direction the parabola is pointing, with positive opening up and negative opening down).
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The probability that a football game will go into overtime is 18%. What is the probability that two of three football games will go to into overtime
Answers
The probability that two of three football games will go to into overtime is 0.08
How to determine the probability that two of three football games will go to into overtime?From the question, we have the following parameters about the probability
Sample size, n = 3
Proportion that goes to overtime, p = 18%
Number that goes into overtime, x = 2
The probability that two of three football games will go to into overtime is calculated using the following binomial probability
P(x) = nCx * p^x * (1 - p)^(n -x)
Substitute the known values in the above equation
P(2) = 3C2 * (18%)^2 * (1 - 18%)^(3 -2)
Express 18% as decimal
P(2) = 3C2 * (0.18)^2 * (1 - 0.18)^(3 -2)
Evaluate the difference
P(2) = 3C2 * (0.18)^2 * (0.82)^1
Evaluate the combination expression
P(2) = 3 * (0.18)^2 * (0.82)^1
Evaluate the exponent
P(2) = 3 * 0.0324 * (0.82)
Evaluate the product
P(2) = 0.079704
Approximate
P(2) = 0.08
Hence, the probability that two of three football games will go to into overtime is 0.08
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The average age of 4 children is 15 yrs . if the ages of their parents are added , their average age is 25 .find the age of their father if he is 4 yrs older than is wife
Answers
The age of the father is 57 years old
Calculating mean of a populationTotal age = Average age x Population
Average of the four children = 15
Population = 4
Total age of the four children = 15 x 4
Total age of the four children = 60 years
If the parents are added:
Population = 6
Average age = 25
Total age = 25 x 6
Total age = 150 years
Total age of the parents = 150 - 60
Total age of the parents = 110 years
The father is 4 years older than his wife
Let the age of the father be x
The age of the wife = x - 4
x + x - 4 = 110
2x = 114
x = 114/2
x = 57
Therefore, the age of the father is 57 years old
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mean of four consecutive even numbers is 15. Enter each number separated by a comma
Answers
Therefore second number is (x+2).
Therefore third number is (x+4).
Therefore forth number is (x+6).
Hence,
(x+x+2+x+4+x+6+x+8)/4 = 15
(4x+12)/4 = 15
x+3 = 15
x = 12
So,
The number is 12, 14, 16, 18.
Hope it helps : )
Answer:
12, 14, 16, 18
Step-by-step explanation:
(x + (x+2) + (x+4) + (x+6))/4 = 15
^ solve algebraically
you'll get (4x+12)/4 = 15
then: 4x + 12 = 60
then 4x = 60-12
then 4x = 48
then x = 12
x is 12 so then do substitution
so you get
12 + (12+2) + (12+4) + (12+6)
12, 14, 16, 18
please help me to get an answer thanks
Answers
Answer:
A=P(1+in)
A=13000(1+6/100×9)
A=press calculator
On a coordinate plane, line k l goes through (negative 6, 8) and (6, 0). point m is at (negative 4, negative 2). which point could be on the line that is parallel to line kl and passes through point m?
Answers
The equation of the line parallel to the line KL passing through the points (-6, 8) and (6, 0), and going through the point M (-4, -2) is 2x + 3y = -6. The point satisfying this equation is (-6, 2). Thus, the 2nd option is the right choice.
Slope of the line KL = (8 - 0)/(-6 - 6) = 8/(-12) = -2/3.
Using the formula of the slope of the line passing through the points (x₂, y₂) and (x₁, y₁), as m = (y₂ - y₁)/(x₂ - x₁).
The slope of the line parallel to the line KL will be equal to the slope of KL.
Thus, the slope of the required line is m = -2/3.
The required line also passes through point M (-4, -2).
Thus, the equation of the required line will be,
y - (-2) = (-2/3)(x - (-4)) {Using the equation of the line passing through the point (x₁, y₁) and a slope m, as y - y₁ = m(x - x₁)},
or, y + 2 = (-2/3)(x + 4),
or, 3(y + 2) = -2x - 8,
or, 2x + 3y = -6.
From the given points, only the point (-6, 2) satisfies the equation.
Thus, the equation of the line parallel to the line KL passing through the points (-6, 8) and (6, 0), and going through the point M (-4, -2) is 2x + 3y = -6. The point satisfying this equation is (-6, 2). Thus, the 2nd option is the right choice.
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The provided question is incomplete. The complete question is:
"On a coordinate plane, line K L goes through (negative 6, 8) and (6, 0). Point M is at (negative 4, negative 2). Which point could be on the line that is parallel to line KL and passes through point M?
(–10, 0)
(–6, 2)
(0, –6)
(8, –10)"
The gas co2 is diffusin at steady state through a tube 20 cm long having a diameter of 1 cm and containing n2 at 350 k . the total pressur is constant at 101.3kpa . the partial pressure of co2 at one end is 456 mmhg and 76 mmhg at the end . the diffusivity is 0.167 cm2 /s at 298 k . calculate the mass rate of co2 if the partial pressure remains constant.
Answers
The value is J = 1.71*10^-6 kmol/m^2.s
According to the given conditions we get,
The length the tube l= 0.20m
The diameter of the tube d= 0.01m
The total pressure inside the tube P= 101.32kPa
The partial pressure of CO2 at the first end is
P1= 456mm Hg = 60794.832 Pa
The partial pressure of CO2 at the other end is
P2= 76mm Hg = 10132.472 Pa
The temperature is T = 298 K
The diffusion coefficient D= 1.67* 10^-5 m^2/s
Generally the molar flux of CO2 is mathematically represented as
J= D{p1-p2} / R.T
Here R is the gas constant with value R= 8.314 j/kmol
So we get J= 1.71 * 10^-3 mol/m^2.sec
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The area of a rectangular cocktail table is x²-18x +32. If the width is x-16, what is it's length?
Answers
Answer:
x-2
Step-by-step explanation:
The formula for area of rectangle is length x width
And we know that width is x-16
And we know that the area is [tex]x^{2} -18x +32[/tex]
So we know that when x-2 is multiplied with x-16, it gives off [tex]x^{2} -18x +32[/tex]
As a rule of thumb, the sampling distribution of the sample proportion can be approximated by a normal probability distribution when _____
Answers
As a rule of thumb, the sampling distribution of the sample proportion can be approximated by a normal probability distribution whenever the sample size is large.
What is the Central limit theorem?The Central limit theorem says that the normal probability distribution is used to approximate the sampling distribution of the sample proportions and sample means whenever the sample size is large.Approximation of the distribution occurs when the sample size is greater than or equal to 30 and n(1 - p) ≥ 5.Thus, as a rule of thumb, the sampling distribution of the sample proportions can be approximated by a normal probability distribution when the sample size is large and each element is selected independently from the same population.
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A video game randomly chooses your car color and type. The probability
getting a red car is 0.20, and the probability of getting a convertible is
Event A = You get a red car.
Event B= You get a convertible.
A and B are independent events if
Answers
A and B are independent events if the probability of getting a red convertible is 0.08
How to determine the probability?The given parameters are:
P(A) = 0.20
P(B) = 0.40
The events are independent, if
P(A and B) = P(A) * P(B)
So, we have:
P(A and B) = 0.20 * 0.40
Evaluate
P(A and B) = 0.08
Hence, A and B are independent events if the probability of getting a red convertible is 0.08
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Complete question
A video game randomly chooses your car color and type. The probability of getting a red car is 0.20, and the probability of getting a convertible is 0.40.
Event A = You get a red car.
Event B = You get a convertible.
A and B are independent events if _____.
A.The probability of getting a red car or a convertible is 0.60.
B.The probability of getting a red car or a convertible is 0.08.
C.The probability of getting a red convertible is 0
D.The probability of getting a red convertible is 0.08
The slant height and radius of a cone are 4 and 1, respectively. Unrolling the curved surface gives a circular sector with center angle $n^\circ.$ Find $n.$
Answers
The centre angle of circular sector is n = 90 degrees (approximately).
What is circular sector?A sector is referred to as a component of a circular made up of the circle's arc and its two radii. It is a section of the circle made up of the arc's circumference and the radius of the circle at its ends.
A piece of pizzas can be used as an analogy for the form of a circle's sector.
The formula for finding the angle formed at the circular sector in radian is;
Let 'n' be the centre angle.
Let 'l' be the slant height of the cone which is equal to radius of circular sector.
Let 'r' be the radius of the cone.
First, calculate the total length of the circular sector say 'L' which is equal to the circumference of the circular base of the cone.
circumference = 2[tex]\pi[/tex]r
= 2×3.14×1
= 6.28
Now,
centre angle = length of circular sector/radius of circle
n = L/l
n = 6.28/4
n = 1.57 radian
Convert radian in degree as;
n = (1.57×180)/[tex]\pi[/tex]
n = 89.95
n = 90 degrees (approximately)
Therefore, the angle made by the circular sector is 90 dergees.
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The correct question is-
The slant height and radius of a cone are 4 and 1, respectively. Unrolling the curved surface gives a circular sector with center angle n degrees. Find n.
Divide 24x2y + 8xy2 + 8xy by -4xy.
What is the quotient?
Answers
The quotient of 24x2y + 8xy2 + 8xy and -4xy is -6x - 2y - 2
How to determine the quotient?The statement is given as:
Divide 24x2y + 8xy2 + 8xy by -4xy
The quotient is represented as:
Quotient = (24x^2y + 8xy^2 + 8xy)/(-4xy)
Factor out -4xy
Quotient = (-4xy)(-6x - 2y - 2)/(-4xy)
Evaluate the quotient
Quotient = -6x - 2y - 2
Hence, the quotient of 24x2y + 8xy2 + 8xy and -4xy is -6x - 2y - 2
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A recipe for dessert calls for 1/3 cup of powdered sugar and 2/6 cup of brown
sugar. What is the total amount of sugar needed for the recipe
Answers
Answer:
2/3
Step-by-step explanation:
1/3 cup powdered sugar
2/6 cup brown sugar
Reduce 2/6 to 1/3.
1/3 + 1/3 = 2/3
2+8+32+128…..,n=9
Evaluate each geometric series described
Answers
The value of 2+8+32+128…..,n=9 is 174762
How to evaluate the series?The series is given as:
2+8+32+128…..,n=9
Start by calculating the common ratio (r)
r = 8/2
r = 4
The sum of the series is then calculated as:
[tex]S_n = \frac{a *(r^n - 1)}{r -1}[/tex]
This gives
[tex]S_9 = \frac{2 *(4^9 - 1)}{4 -1}[/tex]
Evaluate the difference
[tex]S_9 = \frac{2 *( 262143)}{3}[/tex]
Evaluate the quotient
[tex]S_9 = 174762[/tex]
Hence, the value of 2+8+32+128…..,n=9 is 174762
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Find the measure of the arc or central angle indicated. Assume that lines which appear to be diameters are actual diameters.
Answers
Answer:
? = 120°
Step-by-step explanation:
the central angle is the same as the arc that subtends it , that is
? = 120°
a. Are the area of a square and the length of its side directly proportional quantities. Explain.
b. Are the perimeter and side length of a square directly proportional quantities. Explain.
**Will mark brainliest for the correct answer with explanation**
**Will report wrong answers**
Answers
A square is a plane shape that has an equal length of sides. The required answers to the questions are;
i. Yes, the area of a square and its length of sides are directly proportional.
ii. Yes, the perimeter and length of the side of a square are directly proportional.
A square is a plane shape that has an equal length of sides, with four internal right angles. The area of a square can be determined as:
Area = length x length
= [tex](length)^{2}[/tex]
This implies that the value of area of a given square depends on the value of its length. So that the area and length of sides of a square are directly proportional.
If the value of its length increases, then the value of its area increases, viz-a-viz. Then the area and length of the sides of a square are directly proportional.
The perimeter of a square is the sum of the length of its individual sides. Thus, the perimeter of a square can be determined by:
perimeter = 4 x length
Thus the value of the length determines the value of its perimeter. If the length of its sides increases, so is that of the perimeter. Therefore, the length and perimeter of a square are directly proportional.
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Please someone help me, I don't get it
Answers
Answer:
a) x = 1.5 and x = -0.3
b) x = -8 and x = 5
Step-by-step explanation:
a)
The given equation follows the general structure: ax² + bx + c = 0.
Therefore, if a = 5, b = -6, and c = -2, you can substitute the values into the quadratic formula and solve for "x".
b)
Another way of solving polynomials is through factorization. After rearranging the equation to fit the general structure of a quadratic (as seen above), you can factor by asking yourself the question, which 2 numbers multiply to "c" (-40) and add to "b" (3)? The answers will make up your factors.
[tex]\huge\textsf{Hey there!}[/tex]
[tex]\huge\textbf{Equation \#1. }[/tex]
[tex]\mathsf{5x^2 - 6x - 2 = 0}[/tex]
[tex]\huge\textbf{Use the quadratic formula to solve:}[/tex]
[tex]\mathsf{x = \dfrac{-(-6)\pm \sqrt{(-6)^2 - 4(5)(-2)}}{2(5)}}[/tex]
[tex]\huge\textbf{Simplify it: }[/tex]
[tex]\mathsf{x = \dfrac{6 \pm \sqrt{76}}{10}}[/tex]
[tex]\huge\textbf{Simplify that as well:}[/tex]
[tex]\mathsf{x = \dfrac{3}{5} + \dfrac{1}{5}\sqrt{19}\ or\ x = \dfrac{3}{5} + (-\dfrac{1}{5})\sqrt{19}}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{x \approx 1.5 \ or\ x\approx -0.3{}\ }}\huge\checkmark[/tex]
[tex]\huge\textbf{Equation \#2.}[/tex]
[tex]\mathsf{x^2 + 3x = 40}[/tex]
[tex]\huge\textbf{Subtract 40 to both sides:}[/tex]
[tex]\mathsf{x^2 + 3x - 40 = 40 - 40}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\mathsf{x^2+ 3x - 40 = 0}[/tex]
[tex]\huge\textbf{Factor the left side of the equation:}[/tex]
[tex]\mathsf{(x - 5)\times (x + 8) = 0}[/tex]
[tex]\mathsf{(x - 5)(x + 8) = 0}[/tex]
[tex]\huge\textbf{Set the factors to equal to 0:}[/tex]
[tex]\mathsf{x - 5 = 0 \ or\ even\ x + 8 = 0}[/tex]
[tex]\huge\textbf{Simplify it:}[/tex]
[tex]\mathsf{x = 5\ or\ x = -8}[/tex]
[tex]\huge\textbf{Therefore, your answer should be:}[/tex]
[tex]\huge\boxed{\mathsf{x = 5\ or \ x = -8}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
Andrei wants to fill a glass tank with marbles, and then fill the remaining space with water. www represents the volume of water andrei uses (in liters) if he uses nnn marbles. w=32-0.05nw=32−0.05nw, equals, 32, minus, 0, point, 05, n what is the volume of each marble?
Answers
Using linear function concepts, it is found that the volume of each marble is of 0.05 liters.
What is a linear function?A linear function is modeled by:
y = mx + b
In which:
m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.The linear function that gives the volume of water, when n marbles are inserted into the tank, is given by:
w = 32 - 0.05n
The slope of -0.05 means that for each marble inserted, there are 0.05 liters less for water, hence the volume of each marble is of 0.05 liters.
More can be learned about linear function concepts at https://brainly.com/question/24808124
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Answer:
.05 liters
Step-by-step explanation: