Answer:
50%
Step-by-step explanation:
16 litres = (16 x 1000) cm^3
= 16000 cm^3
Hence,
Percentage = 8000/16000 x 100%
= 1/2 x 100%
= 50%
A new homeowner is purchasing a living room set for $2,975 and must decide between two financing offers.
Offer 1: $250 down payment, 24.90% interest rate, compounded monthly, for 3 years, with no payments due for 6 months and then fixed payments of $139.05 for the remainder of the loan term
Offer 2: $400 down payment, 22.90% interest rate, compounded monthly, for 3 years, with no payments due for 12 months and then fixed payments of $165.76 for the remainder of the loan term
Part A: What is the total cost of offer 1? Explain which technology you used to solve and each step of your process. (3 points)
Part B: What is the total cost of offer 2? Explain which technology you used to solve and each step of your process. (3 points)
Part C: Which financing offer should the new homeowner choose? Explain your reasoning. (4 points)
Answer:
To compare the two financing offers, we need to calculate the total cost of each offer.
Part A: What is the total cost of offer 1?
To calculate the total cost of offer 1, we need to first calculate the total amount of interest that will be paid over the course of the loan. We can do this using the following formula:
Total interest = (interest rate/12) * loan amount * number of payments
In this case, the loan amount is $2,975, the interest rate is 24.90%, and the number of payments is 36 (3 years * 12 months/year). Plugging these values into the formula, we have:
Total interest = (0.2490/12) * $2,975 * 36
Calculating, we find that the total interest is approximately $1,534.89.
To calculate the total cost of the loan, we need to add the total interest to the original loan amount. In this case, the total cost is $2,975 + $1,534.89 = $4,509.89.
Therefore, the total cost of offer 1 is $4,509.89.
Part B: What is the total cost of offer 2?
To calculate the total cost of offer 2, we need to first calculate the total amount of interest that will be paid over the course of the loan. We can do this using the following formula:
Total interest = (interest rate/12) * loan amount * number of payments
In this case, the loan amount is $2,975, the interest rate is 22.90%, and the number of payments is 36 (3 years * 12 months/year). Plugging these values into the formula, we have:
Total interest = (0.2290/12) * $2,
To continue the calculation of the total cost of offer 2, we need to calculate the total interest using the formula:
Total interest = (interest rate/12) * loan amount * number of payments
In this case, the loan amount is $2,975, the interest rate is 22.90%, and the number of payments is 36 (3 years * 12 months/year). Plugging these values into the formula, we have:
Total interest = (0.2290/12) * $2,975 * 36
Calculating, we find that the total interest is approximately $1,405.70.
To calculate the total cost of the loan, we need to add the total interest to the original loan amount. In this case, the total cost is $2,975 + $1,405.70 = $4,381.70.
Therefore, the total cost of offer 2 is $4,381.70.
Part C: Which financing offer should the new homeowner choose?
Based on the total cost of the two financing offers, it is more cost-effective for the new homeowner to choose offer 2. Offer 2 has a lower total cost ($4,381.70) compared to offer 1 ($4,509.89), so it would be the better choice for the new homeowner.
Step-by-step explanation:
Please help I was sick and missed out on class thank you.
On solving the value of provided question we can say that - the value of the slope intercept y = -3.
what is slope intercept?The point on the y-axis where the slope of the line passes is known as the intersection point in mathematics. the location on a line or curve where the y-axis crosses that point. This is demonstrated by putting y = mx+c as the equation for the straight line, where m denotes the slope and c the y-intercept. In the intercept form of the equation, the slope (m) and y-intercept (b) of the line are highlighted. The slope is m, and the y-intercept is b for equations in the intercept form (y=mx+b). Additionally, certain equations may be recast to seem like slope intercepts. For instance, if y=x is rewritten as y=1x+0, the slope becomes 1 and the y-intercept becomes 0.
as we can see from graph that,
line passes through origin, so x= 0
the, y = -5x - 3
y = -3
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value of y please help me
Which of the following points best represents the location of -1;
15.
ос
OD
Ов
ОА
+
-2
в с
0
on the number line?
D
2 +
2
Here is a graph of the function h.
Use the graph to find the following
If there is more than one answer, separate them with commas
(a)
All local minimum values of
h
(b) All values at which h has a local minimum:
The graph also shows two other local maxima, at x=0.5 and x=1.5.
The local minimum(a) -4, -2, 0, 2 (b) The local minimum values of h occur at x = -4, -2, 0, and 2.These values can be seen on the graph as points at which the graph of h changes from decreasing to increasing.At each of these points, the value of h is at a minimum compared to the values of h on either side of the point.All values at which h has a local maximum: 0.5, 1.5All local maximum values of h: 2.5, 4.5.The graph of the function h is a parabola that opens upwards, with a turning point at x=1.This indicates that the function has a local maximum at this point.The local maximum values of h at these points can be determined by looking at the y-values at these points, which are 2.5 and 4.5 respectively.To learn more about All local minimum values refer to:
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Find the value of x that makes the quadrilateral a parallelogram?
Answer:
5
Step-by-step explanation:
since the sides of parallelogram are parallel
then 3X+3 = 4X-2 (they are equal because they are alternating angles )
3X+3 = 4X-2 subtract 3X from both sides
3 = X-2. add 2 to both sides
X= 5
Answer:
x = 5
Step-by-step explanation:
As the diagonals of a parallelogram bisect each other (divide into two equal parts):
[tex]\implies 2x+1=x+6[/tex]
[tex]\implies 4x-2=3x+3[/tex]
Solve the first equation for x:
[tex]\implies 2x+1-1=x+6-1[/tex]
[tex]\implies 2x=x+5[/tex]
[tex]\implies 2x-x=x+5-x[/tex]
[tex]\implies x=5[/tex]
Solve the second equation for x:
[tex]\implies 4x-2+2=3x+3+2[/tex]
[tex]\implies 4x=3x+5[/tex]
[tex]\implies 4x-3x=3x+5-3x[/tex]
[tex]\implies x=5[/tex]
Therefore, the value of x that makes the quadrilateral a parallelogram is:
x = 5An astronaut was exploring the moon of a distant planet, and found some glowing goo at the bottom of a very deep crater. She brought a 10-gram sample of the goo to her laboratory. She found that when the goo was exposed to light, the total amount of goo increased by 100% every hour.
How much goo will she have after 1 hour? After 2 hours? After 3 hours? After n hours?
When she put the goo in the dark, it shrank by 75% every hour. How many hours will it take for the goo that was exposed to light for n hours to return to the original size?
The amounts of goo after each hour are given as follows:
1 hour: 20 grams.2 hours: 40 grams.3 hours: 80 grams.n hours: 10(2)^n.The time that it takes for the goo to return to original size is given as follows:
n hours, for which:
[tex](2)^n(0.25)^n = 1[/tex]
How to model the situation?An increasing exponential function is defined as follows:
y = a(1 + r)^x.
For which the parameters are given as follows:
a is the initial value.r is the growth rate, as a decimal.Her sample is of 10 grams, and the amopunt of goo increases by 100%, hence the parameter values' are given as follows:
a = 10, r = 1.
Thus the exponential function is defined as follows:
y = 10(2)^n.
Then the amounts are given as follows:
One hour: y = 10 x 2 = 20 grams.Two hours: y = 10 x 2² = 40 grams.Three hours: y = 10 x 2³ = 80 grams.A decreasing exponential function is given as follows:
y = a(1 - r)^x.
The goo shrinks by 75% every hour, hence:
r = 0.75.
The amount after n hours is of 10(2)^n, hence the shrinking function is given as follows:
[tex]y = 10(2)^n(0.25)^n[/tex]
It returns to the original amount when:
y = 10.
Hence:
[tex]10 = 10(2)^n(0.25)^n[/tex]
[tex](2)^n(0.25)^n = 1[/tex]
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guys please help its due today!
a) Let x be the number of games played and let y be the total price.
What in mathematics is a linear equation?
A linear equation is an algebraic equation of the form y=mx+b, where m is the slope and b is the y-intercept, and only a constant and a first-order (linear) term are included. The variables in the preceding equation are y and x, and it is occasionally referred to as a "linear equation of two variables."
(b)
Pin Lanes: y = 10 + 3x
Strike Lanes: y = 4 + 6x
(c) To find the number of games at which the total price is the same at both places, we can set the two equations equal to each other and solve for x:
10 + 3x = 4 + 6x
6x = 6
x = 1
So the total price would be the same if you played 1 game at both Pin Lanes and Strike Lanes.
(d) Since you want to play 4 games, you can substitute x = 4 into the equation for each place:
Pin Lanes: y = 10 + 3(4) = 22
Strike Lanes: y = 4 + 6(4) = 28
Since 4 games at Pin Lanes costs $22 and 4 games at Strike Lanes costs $28, it would be cheaper to play at Pin Lanes.
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Consider the line whose equation is y=x+3.
Fill in the table below and then plot the line.
For the given line whose equation is [tex]y=x+3[/tex] :
x y (x,y)
0 3 (0,3)
1 4 (1,4)
2 5 (2,5)
3 6 (3,6)
What is equation?The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Define expression.Mathematical expressions consist of at least two numbers or variables, at least one arithmetic operation, and a statement. It's possible to multiply, divide, add, or subtract with this mathematical operation. An expression's structure is as follows: Expression: (Math Operator, Number/Variable, Math Operator)
A line in slope-intercept form, y = mx + b, where m is the slope of the line and b is the y-intercept .
Given the equation y = x + 3, the slope (m) is 1 and the y-intercept (b) is 3.
So, we can fill the table like this:
For the given line whose equation is [tex]y=x+3[/tex] :
x y (x,y)
0 3 (0,3)
1 4 (1,4)
2 5 (2,5)
3 6 (3,6)
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I don’t understand this ssshh
After evaluating the given expressions the results could be 245 / 89 , 43/6, 33/4 .
What is expression ?
expression can be defined as with the minimum of two variables or numbers and at least one math operation.
Given that ,
7/ 8 * 14 / (3/8 * 6 ) + 2 1/5
= (7/8 * 14 )/ ((18 / 8) + 11/5)
= (98/ 8 ) / (90 + 88) / 40
= (98/ 8 ) / (178/ 40)
= (98 * 40) / (8* 78)
= 245/89
Hence the final value could be 245/53.
7/ 8 + (6*7/8 - 4 * 3/16 ) / (3/4 )
(7/8 + (21/4 - 3/4 ) ) / (3/4)
(7/8 + 18/4) / (3/4)
(43/8) / (3/4)
43/6
Hence the final value could be 43/6.
3 1/7 * (3 1/3 * (2/3 + 1/6 ) - 5/18 ) / 2 (3/7)
11/7 * (10/6 - 5/18) / (17/7)
(11/7 )* (27/ 18) /( 17/7)
(11* 27/18 )/ (17)
33/34.
Hence the final value could be 33/34.
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A triangle has dimensions 9ft by 12ft if you wanted to increase the size of the triangle by a scale factor of 10/3 what would the area of the new triangle be?
Answer:
The area of the new triangle would be A = (1/2) * 30ft * 40ft = (1/2) * 1200ft^2 = 600ft^2
Step-by-step explanation:
To increase the size of a triangle by a scale factor of 10/3, you can multiply each side length of the triangle by 10/3.
The new dimensions of the triangle would be (10/3) * 9ft = 30ft and (10/3) * 12ft = 40ft.
The area of a triangle is given by the formula A = (1/2) * b * h, where b is the length of the base and h is the height of the triangle.
Using the new dimensions of the triangle, the area of the new triangle would be A = (1/2) * 30ft * 40ft = (1/2) * 1200ft^2 = 600ft^2.
4. Torrie has $430 and Sonia has $760. John has the same number of dollars more than Torrie as he has less than Sonia. How much money does John have?
To solve this problem, we can set up the following equation:
Torrie + John = Sonia - John
This equation represents the fact that John has the same number of dollars more than Torrie as he has less than Sonia. We can then substitute the given values for Torrie, Sonia, and John to solve for John:
430 + John = 760 - John
Combining like terms, we get:
2 * John = 330
Dividing both sides of the equation by 2, we get:
John = 165
Thus, John has $165.
A tree that is 30 tall casts a 40 shadow. What is the distance from the top of the tree to the end of the shadow?
The distance from the top of the tree of height 30 tall to the end of the shadow is 50.
What is distance?Distance is the length between two point.
To calculate the distance from the top of the tree to the end of the shadow, we use the formula below.
Note: The tree and the shadow form a right angle.
Formula:
a = √(b²+c²)................. Equation 1Where:
a = Distance of from the top of the tree to the end of the shadowb = Height of the treec = Length of the shadowFrom the question,
Given:
b = 30 c = 40Susbtitute these values into equation 1
a = √(30²+40²)a = √(900+1600)a = √2500a = 50Hence, the distance from the top of the tree to the end of the shadow is 50.
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For a long distance person-to-person telephone call a telephone company charges $.89 for the first minute and $.31 for each additional minute and $1.23 service charge at the cost of the avocado is six hours and $.15 how long did the person talk
So the person talked for 6 minutes.
Define Unitary Method.The unitary approach involves calculating the value of a single unit, from which we may calculate the values of the necessary number of units.
Define ratio and proportion.Two quantities are compared to form a ratio. An equality of two ratios is a percentage. How to format a ratio Analyze the ratio to see whether it is part to part or part to whole. Calculate the whole and the pieces as necessary.
To solve this problem, we can use the following equation:
Cost = (Number of minutes x $0.31) + $0.89 + $1.23
We know that cost is $6.15 and the call lasted 6 hours. Since there are 60 minutes in an hour, we can convert the time in hours to minutes by multiplying 6 hours by 60 minutes/hour
So the number of minutes is 6 hours * 60 minutes/hour = 360 minutes
Now we can substitute the values into the equation:
Cost = (360 minutes x $0.31) + $0.89 + $1.23
Cost = $111.6 + $0.89 + $1.23
Cost = $113.72
The equation does not match the $6.15 cost, which means that the person talked for 6 minutes
So the person talked for 6 minutes.
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Hannah simplified the radical below and wants someone to check the work (view image)
Answer:
4|x|y²√(3yz)
She forgot the absolute value sign on x, and she left out the exponent on y.
Step-by-step explanation:
Step 1 is correct.
x may be positive, zero, or negative.
√x is always non-negative. To assure that √x² is non-negative, √x² = |x|.
√16 = 4
√3 = √3
√x² = |x|
√y² × √y² = √y^4 = y²
Since y² is always non-negative, there is no need for absolute value sign.
√y^4 = y²
Answer should be
4|x|y²√(3yz)
i need to solve this so can you pls hlp
Answer: D
Step-by-step explanation: x is a variable, and so is the number of tractors he sells. he is going to get paid $1000 for sure each month.
So 150x(the number of tractors) + 1000(his pay each month)
Which expression is equivalent to -3(x+4)(x-6)-(x^2+8x-10)?
Answer:-4x^2-2x+46.
Step-by-step explanation:
To simplify this expression, you can start by distributing the negative sign to the first set of parentheses:
(-3)(x+4)(x-6)-(x^2+8x-10)
Then, you can distribute the -3 to the terms inside the first set of parentheses:
(-3x-12)(x-6)-(x^2+8x-10)
Then, you can combine like terms:
-3x^2+6x+36-x^2-8x+10
This simplifies to:
-4x^2-2x+46
Therefore, the expression that is equivalent to -3(x+4)(x-6)-(x^2+8x-10) is -4x^2-2x+46.
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Find the value of x.
30°
105°
xo
Exterior angle of triangle x has a value of 135 in this sentence.
What is the simplest technique to measure angles?A protractor can be used to measure angles precisely. Angles are measured in degrees, hence the term "degree measure." Since one full revolution is equivalent to 360 degrees, it is divided into 360 segments.
What exactly is the triangle rule?According to the "sides of a triangle rule," any two sides of a triangle must add up to be longer than the third side.
By extending one side of the triangle, an external angle is formed. An exterior angle is the angle formed by the stretched side and the side that is immediately adjacent.
Practice. Triangle Angle Measurement
via the triangle's external angle characteristic, x = 105 + 30 = 135.
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The density of a certain material is such that it weighs 6900 grams for every 4.5 quarts of volume. Express this density in pounds per cubic foot. Round your answer to the nearest whole number.
The density of the material is 1533.3 grams per quarts.
What is density?Density is the measurement of how tightly a material is packed together. It is defined as the mass per unit volume.
Given that, the density of a certain material is such that it weighs 6900 grams for every 4.5 quarts of volume.
The formula to find the density is Density=Mass/Volume
Density =6900/4.5
Density= 1533.3 grams per quarts
Therefore, the density of the material is 1533.3 grams per quarts.
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-20 POINTS- only answer If you know dont guess again.
Using the Pythagoras theorem, the value of y is [tex]6\sqrt{7}[/tex], and the value that goes in the green box is 6.
What is Pythagoras Theorem?
In a right-angled triangle, the square of the hypotenuse side is equal to the sum of the squares of the other two sides, according to Pythagoras's Theorem. These triangle's three sides are known as the Perpendicular, Base, and Hypotenuse. Due to its position opposite the 90° angle, the hypotenuse in this case is the longest side.
Mark the intersections as A, B, C, and D.
It is given that BC=12 and CD=9.
The relationship between the height on the hypotenuse of a right triangle and the two line segments it generates on the hypotenuse is described by the right triangle altitude theorem, also known as the geometric mean theorem. It claims that the altitude is equal to the geometric mean of the two segments.
Apply the geometric mean theorem -
(AC)^2 = BC x CD
(AC)^2 = 12 x 9
(AC)^2 = 108
AC = [tex]\sqrt{108}[/tex]
AC = [tex]6\sqrt{3}[/tex]
Triangle ABC is a right-angled triangle, so apply Pythagoras theorem -
(AB)^2=(BC)^2+(AC)^2
(AB)^2=(12)^2+([tex]6\sqrt{3}[/tex])^2
(AB)^2=144+108
(AB)^2=252
AB=[tex]\sqrt{252}[/tex]
AB=[tex]6\sqrt{7}[/tex]
Therefore, the value of y is obtained as [tex]6\sqrt{7}[/tex].
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Given that a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6, select the statement that could be true for g. A. g(0) = 2 B. g(-4) = -11 C. g(7) = -1 D. g(-13) = 20
A function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6 then g(-13) = 20
What is a function?A relation is a function if it has only One y-value for each x-value.
Given a a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45
and that g(0) = -2 and g(-9) = 6,
x=-20 then g(-20)=-5
x=-19 then g(-19)=-4
x=-18 then g(-18)=-3
x=-17 then g(-17)=-2
x=-16 then g(-16)=-1
x=-15 then g(-15)=0
x=0 then g(0)=-2
x=-9 then g(-9)=6
By observing this we can say that as x values are decreasing the function values are increasing and vice versa
So option D is correct
Hence, a function, g, has a domain of -20 ≤ x ≤ 5 and a range of -5 ≤ g(x) ≤ 45 and that g(0) = -2 and g(-9) = 6 then g(-13) = 20
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When the function f(x) is divided by x + 2, the quotient is x² - 5x + 8 and the
remainder is 8. Find the function f(x) and write the result in standard form.
Step-by-step explanation:
this means :
f(x) / (x + 2) = (x² - 5x + 8) + 8/(x + 2)
f(x) = (x + 2)(x² - 5x + 8) + 8 =
= x³ - 5x² + 8x + 2x² - 10x + 16 + 8 =
= x³ - 3x² - 2x + 24
Water flows at 2 feet per second through a pipe with a diameter of 8 inches. A cylindrical tank with a diameter of 15 feet and a height of 6 feet collects the water.
a. What is the exact volume, in cubic inches, of water flowing out of the pipe every second? Leave your answer in terms of π.
The volume is
cubic inches.
Question 2
b. What is the height, in inches, of the water in the tank after 5 minutes?
The height in the tank is about
inches.
Question 3
c. How many minutes will it take to fill 75% of the tank?
It will take about
minutes.
a. The exact volume, in cubic inches, of water flowing out of the pipe every second is 32π cubic inches.
b. The height, in inches, of the water in the tank after 5 minutes is 600 feet.
c. It will take 0.132 minutes to fill 75% of the tank
What is a cylindrical shape?A cylinder is a three-dimensional solid object with two bases that are identically circular and are connected by a curving surface that is located at a specific height from the center.
Examples of cylinders are toilet paper rolls and cold beverage cans.
The volume of a cylinder is πr²h.
Curved surface area = 2πrh.
Total surface area = 2πr(h + r).
Given, Water flows at 2 feet per second through a pipe with a diameter of 8 inches so it is a cylindrical shape.
Therefore, The exact volume, in cubic inches, of water flowing out of the pipe every second is,
= π(4)²×2.
= 32π cubic inches.
The volume of the cylindrical tank is,
= π(7.5)²×6.
= 337.5π cubic inches.
The height, in inches, of the water in the tank after 5 minutes would be
= (32π×300)/π×16).
= 600 feet.
Now, 75% of 337.5π cubic inches is (0.75×337.5π) = 253.125π cubic inches.
Therefore the time required to fill 75% of the tank is,
= [(253.125π/32π)]/60 minutes.
= 7.91/60 minutes.
= 0.132 minutes.
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A line passes through the origin (−1, 1) and (4, n). Find the value of n.
The line y = - x has a coordinate value of (4, - 4) passing through the origin.
What are lines and their slopes?We know lines have various types of equations, the general type is
Ax + By + c = 0, and equation of a line in slope-intercept form is
y = mx + b.
Where slope = m and b = y-intercept.
the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.
Given, A line passes through the origin, (−1, 1) and (4, n).
So, The slope of the line is,
m = (1 - 0)/(- 1 - 0).
m = - 1.
Now,
1 = -1(-1) + b.
b = 0.
y = - x.
At x = 4,
y = - 4.
So, The point (4, n) is (4, - 4).
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Which of the following is most likely the next step in the series?
ООО
О А.
B.
О с.
O D.
The next step in the series is, shown in Option C.
What is mean by Circle?The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.
Given that;
There are three steps are shown.
Now, In first step, only one line shown.
In second line the line is left to first line.
And, So on.
Hence, The next step in the series is, shown in Option C.
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There are 100 marbles in a jar
There are 9 times as many red marbles
as there are blue marbles. How many
blue marbles are in the jar?
Answer:
Step-by-step explanation:
take 9 divided by 5 wich = 1.8
If the equation of a circle is (x + 5)2+(y-7)2=36, its radius is
06
016
0 36
Therefore , the solution is circle Part 1: The central idea ( -5 , 7 ). 2nd part: Radius is 6 in part 2,3rd part: FALSE and Parts 4. There are 10 miles between A and B.
What is circle?A circular shape called a circle is created by following a moving point in a plane so that its distance from a particular point remains constant. The Greek word kirkos, which means hoop or ring, distance is the source of the English word circle.
Here,
The common circle equation is,
( x - h )² + ( y - k ) ( y - k )
6² = r²
where the circle's radius is r and the center's coordinates are (h, k).
Part 1.
Using the common circle equation, we obtain,
Circle's circumference's coordinate is ( -5 , 7 )
Consequently, the second choice is the right one.
Part 2.
Using the common circle equation, we obtain,
circle radius is six.
Consequently, the first choice is the right one.
Part 3.
Using the common circle equation, we obtain,
Circle's circumference's coordinate is ( 2 , 3 )
Therefore False.
Part 1.
In comparison to the common circle equation, we obtain,
Circle's center's coordinates are: ( -5 , 7 )
As a result, the second choice is the right one.
Part 2.
In comparison to the common circle equation, we obtain,
circle's diameter is six.
As a result, the first choice is right.
Part 3.
In comparison to the common circle equation, we obtain,
Circle's center's coordinates are: ( 2 , 3 )
So, False.
Part 1.
Giving the distance between two points,
Distance between A(-5, 3) and B (5, 3), expressed as:
=> [tex]\sqrt{(x2-x1)^{2} + (y2-y1)^{2} )}[/tex]
= > [tex]\sqrt{(-5-5)^{2} + (3-3)^{2} )}[/tex]
=> 10
Thus, 3rd Option is correct.
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Select all the relations which represent a function.
- (1,3), (2,5), (2,7), (4,9) (1,3), (1,5), (1,7), (4,9) 0 (1,2), (2,5), (2,1), (4,5)
(1,3), (2,5), (3,7), (4,9) (1,3), (2,3), (3,3), (4,3)
Therefore , (1, 3), (2, 5), (3, 7) (4, 9) and (1, 3), (2, 3), (3, 3) (4, 3) are the relations that represent a function.
Function is what?According to a function's rule, every x value in the domain has one and only one range of y values. Definition. A one-to-one function exists when there is just one and only one value of x such that f(x) = y.
Here,
The relationship is (1, 3), (2, 5), and (2, 7) (4, 9)
Given that 2 is repeated, the connection is not a function.
The relationship is (1, 3), (2, 5), and (3, 7) (4, 9)
Since there are no repeating numbers, the relation is a function.
The relationship stated is (1, 3), (1, 5), and (1, 7). (4, 9)
The relationship is not a 1 repeated function.
The relationships are (1, 3), (2, 3), and (3, 3). (4, 3)
Since there are no repeating numbers, the relation is a function.
The relationship stated is (1, 2), (2, 5), and (2, 1) (4, 5)
As 2 repeated, the relationship is not a function.
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D. Maria collects postcards. The table gives the
number of each type of postcard she has in her
collection. Use the data to write each ratio in
three different ways.
A. U.S. Landmarks to European Landmarks:
Answer: A. U.S. Landmarks to European Landmarks
Maria has 25 U.S. landmark postcards and 20 European landmark postcards. The ratio of U.S. landmarks to European landmarks can be written as 25:20 or as 25/20.
Alternatively, we can express the ratio as a fraction. If we divide the number of U.S. landmark postcards by the total number of U.S. and European landmark postcards, we get 25/(25+20)=25/45
The last way we can express the ratio as a decimal. By dividing the number of U.S. landmark postcards by the total number of U.S. and European landmark postcards, we can find that the ratio of U.S. landmarks to European landmarks is 25/45 =0.555 or 55.5%
Step-by-step explanation:
The design of a digital box camera maximizes the volume while keeping the sum of the dimensions at 4.5 inches. If the length must be 1.5 times the height, what should each dimension be?