We want to find an equation and the sixth term of the given geometric sequence.
The equation is: [tex]a_{n} = 4*a_{n}-1[/tex] and the sixth term is equal to 512
What is Geometric sequence?In a geometric sequence, each term is a constant times the previous term, so the general relation is:
[tex]a_{n} = k*a_{n}-1[/tex]
Here we can use any pair of consecutive terms to find the value of the constant, for example, if we use the first two, we have:
[tex]8 = k*2\\8/2 = 4 = k[/tex]
Now we know the value of the constant, then the general formula is: [tex]a_{n} = 4*a_{n}-1[/tex]
Now we can use this to get the sixth term:
[tex]a_{6} = 4*a_{5}-1=4*128 = 512[/tex]
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Williamston Daily is a new daily newspaper. When they first started printing three years ago they had 5900 home delivery subscribers. The number of subscribers increases by 66 every month. Write an equation that expresses the number of subscribers B in terms of n, the number of months the paper has been printed.a.B
this is a question of set of equations and solution is as follows,
Williamston Daily newspaper started printing newspaper.
Three years ago they had 5900 subscribers.
every month there is an increase of 66 new subscribers.
n is the number of months the paper has been printed.
so, the linear model will be
B= early subscriber + number of month × increments
B= 5900 + n × 66
B= 66 n + 5900
Example - subscribers after 3 months,
n = 3
= 66 x 3 +5900
= 198 + 5900
= 6000
set of equations
A system of equations is a set or collection of equations that you deal with all together at once. Linear equations are simpler than non-linear equations, and the simplest linear system is one with two equations and two variables.
Linear equations
Linear equations are equations having variables with power 1. ax+b = 0 is an example with one variable where x is the variable, a and b are real numbers.
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At what ordered pair will the function
f ( x ) = √ x + 2 - 2
begin on the coordinate plane?
( ? , ?)
Answer:(-2,-2)
Step-by-step explanation:
The radical has a value of 0 when x = -2. At that point, the function value is ...
f(-2) = √(-(-2)-2) -2 = √(0) -2
f(-2) = -2
Write an exponential function to represent the spread of Ben's social media post. Write an exponential function to represent the spread of Carter's social media post
So, y = ab^x and y = ac^x are the exponential functions to represent the spread of Ben's and Carter's social media posts respectively.
An exponential function has the form y = ab^x, where a and b are constants and x is the independent variable (in this case, time).
For Ben's social media posts:
y = ab^x
For Carter's social media post:
y = ac^x
Please note that the value of a, b, and c will be different for Ben and Carter's post, as it will depend on the number of shares, likes, views, etc., and the rate of spread of the post.
This is an exponential function that represents the spread of Ben's social media posts and Carter's social media post.
Complete Question:
1. Write an exponential function to represent the spread of Ben's social media post 2. Write an exponential function to represent the spread of Carter's social media post. 3. Graph each function using at least three points for each curve. All graphs should be placed together on the same coordinate plane, so be sure to label each curve. You may graph your equation by hand on a piece of paper and scan your work, or you may use graphing technology. 4. Using the functions for each student, predict how many shares each student's post will be received on Day 3 and then on Day 10. Justify your answers 5. If Amber decides to mail copies of her photo to the 45 residents of her grandmother's assisted living facility, the new function representing her photo shares is . How does this graph compare with the original graph of Amber's photo share? 6. Based on your results, which students' post travels the fastest? How is this shown in the equation form of the functions? 7. If you had to choose, would you prefer a post with fewer friends initially but more shares, like Amber, or more friends initially but fewer shares? Justify your answer with your calculations from previous questions
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Reduce the fraction and find the domain
The simplification of all the given algebra fractions are;
1) a/c
2) (a - b)/(a - 1)
3) (x + 1)/(x - 4)
How to solve algebraic fractions?An algebraic fraction is defined as a fraction whose numerator and denominator are algebraic expressions.
1) (abc + ab²)/(b²c + bc²)
Factorizing numerator and denominator gives;
ab(c + b)/bc(b + c)
b(b + c) will cancel out to get; a/c
2) (a² - b²)/(a² - a + ab - b)
Factorizing numerator and denominator gives;
[(a + b)(a - b)]/[a(a - 1) + b(a - 1)]
= [(a + b)(a - b)]/(a + b)(a - 1)
(a + b) will cancel out to get;
(a - b)/(a - 1)
3) (x² - 2x - 3)/(x² - 7x + 12)
Expanding the numerator and denominator gives;
(x² - 3x + x - 3)/(x² - 4x - 3x + 12)
= ((x + 1)(x - 3))/((x - 3)(x - 4)
(x - 3) will cancel out to get;
(x + 1)/(x - 4)
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Which simplified ratio correctly compares 5 meters to 100 centimeters?
A. 5:1
B. 20:1
C. 1:5
D. 1:20
The simplified ratio that compares 5 meters to 100 centimeters is 5: 1 .Option A
How to determine the ratioRatio is simply described as the non equal comparison of two numbers, variables, or events.
It shows how many times a number or variable contains another.
The comparison is also based on size.
From the information given, we have;
5 meter to 100 centimeters
It is important to note that;
100 centimeters = 1 meters
Also, 1 meter= 100 centimeters
5 meters = x centimeters
cross multiply
x = 100(5)
Multiply the values
x = 500 centimeters
Then,
5 meters = 1 meter
Hence, the ratio is 5:1
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What is the solution of 7x =- 63?
The answer to 7^2 is 49. This means that 7 is multiplied by itself two times. To solve the given problem following steps should be followed :
Step 1: To calculate the value of 7 power 2, we need to use the exponentiation operator (^).
Step 2: The operator is written as 7^2, which is read as "seven to the power of two".
Step 3: We can calculate the value of 7 power 2 by multiplying 7 by itself 2 times.
Step 4: 7 × 7 = 49
Therefore, 7 power 2 = 49.
An expression known as "power" is defined as the process of repeatedly multiplying a value or integer. An is often a power where n is the exponent and an is the base.
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Clare made an error when solving -4x+3<23−4x+3<23.
The solution of the inequality is,
⇒ x > - 5
What is Inequality?A relation by which we can compare two or more mathematical expression is called an inequality.
Given that;
The inequality is,
⇒ - 4x + 3 < 23
Now,
Since, The inequality is,
⇒ - 4x + 3 < 23
Solve as;
⇒ - 4x < 23 - 3
⇒ - 4x < 20
⇒ - x < 5
⇒ x > - 5
Thus, The solution is,
⇒ x > - 5
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Amelie is making a recipe that uses 134 cups flour. She is making 212 times the original recipe. Amelie draws this model to represent the number of cups of flour she needs. How many cups of flour does Amelie need
Amelie needed 335 cups of flour for the recipe.
How is quantity calculated?The whole centre line length, as well as the construction's breadth and depth, must be multiplied in order to determine the required amount of quantity. Every time the main wall is attached to a cross wall, a partition, or a verandah, the centre line length will be halved at that intersection.Any number, variable, or algebraic combination of other numbers can be a quantity in a mathematical equation. Seven, ten, x, and the product of x and seven, or x + seven, are the four numbers in the equation x + 7 = 10.The unit price is the cost per unit of the product you are purchasing. The amount might be given per thing or per measurement type, such ounces, grammes, gallons, or litres.Given data :
She is making 2 1/2 or 2.5 times the original recipe.
Cups in original recipe= 134 cups
cups Amelie will need= 2.5 × 134
= 335 cups
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1. Write 7 example of mathematical expreion. 2. Larry had 5 3/6 yard of fabric. He ued 2 2/3 to make a bag for hi computer. Write an expreion that will how how much of the fabric Larry will have left. PLEASE HURRY UPPPPP!!! I HAVE 1 HOUR LEFT UNTIL SUBMISSION!!!
a) 7 examples are:
[tex]2x + 3y\\(4a - 5b) / 2c\\(5 + 8) * 3\\8^2 - 6\\√(64)\\(1/3) * π * r^2\\2(3x + 4y) - 5z[/tex]
b) Fabric Larry will have left after using [tex]2\frac{2}{3}[/tex] yard out of [tex]5\frac{5}{6}[/tex] yard to make a bag for his computer is: [tex]3\frac{3}{6} yard[/tex]
What kinds of expressions are examples?Any mathematical statement that includes numbers, variables, and an arithmetic operation between them is known as an expression or algebraic expression. In the phrase 4m + 5, for instance, the terms 4m and 5 are separated from the variable m by the arithmetic sign +.
7 examples of mathematical expression are:
[tex]2x + 3y\\(4a - 5b) / 2c\\(5 + 8) * 3\\8^2 - 6\\√(64)\\(1/3) * π * r^2\\2(3x + 4y) - 5z[/tex]
For the second part of the question:
Larry had 5 3/6 yards of fabric. He used 2 2/3 yards to make a bag for his computer. Write an expression that will show how much of the fabric Larry will have left.
The mathematical expression that represents the amount of fabric Larry has left is:
5 3/6 - 2 2/3 = 2 7/18
You can simplify this further:
2 7/18 = 2 1/6
The amount of fabric Larry will have left is 2 1/6 yards.
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a+ 1 1/6 = 11 7/9
...........................
Answer:
a = 191/81
Step-by-step explanation:
a+ 1 1/6 = 11 7/9
1 1/6 = 7/6
11 7/9 = 106/9
So, our equation is
a + 7/6 = 106/9
Subtract 7/6 from both sides
a = 191/81
So, the answer is
a = 191/81
Graph the Following parent function
Answer:
see attached
Step-by-step explanation:
You want the graph of g(x) = -f(x-3), given the graph of the parent function f(x) = log₂(x).
TransformationThe replacement of x with x-3 as the function argument causes the graph to be translated 3 units to the right.
The replacement of f(x) with -f(x) causes the graph to be reflected over the x-axis.
The translated, reflected graph is shown in blue in the attachment.
Octagon ABCDEFGH with side lengthsABCDEFGII 10 and BC=DE FG = HA= 11 isformed by removing 6-8-10 triangles from the corners of a 23 x 27 rectanglewith side AH on a short side of the rectangle, as shown. Let J be the midpointof AH, and partition the octagon into 7 triangles by drawing segments JB,JC, JD, JE, JF, and JG. Find the area of the convex polygon whosevertices are the centroids of these 7 triangles.
Area of the convex polygon whose vertices are the centroids of these 7 triangles is 184.
What is a convex polygon?
A polygon that forms the edge of a convex set is said to be convex polygon. This indicates that the union of the interior and the boundary of the polygon has the line segment connecting two points of the polygon.
Given,
AB = CD = EF = GH = 10
BC = DE = FG = HA = 11
Triangles of side length 6,8,10 is cut from corners 23×27 rectangle.
Using the above information, we marked the position of A,B,C,D,E,F,G,H and J, taking the upper left corner of rectangle as origin.
The centroid of a triangle can be found using the formula,
Centroid = [tex](\frac{x_{1} + x_{2}+x_{3}}{3} , \frac{y_{1} +y_{2}+y_{3}}{3})[/tex]
For ΔJAB,
[tex]C_{1}[/tex] = (8/3 , -35/6)
For ΔJBC,
[tex]C_{2}[/tex] = ( 9 , -23/6)
For ΔJCD,
[tex]C_{3}[/tex] = ( 46/3, -35/6)
For ΔJDE,
[tex]C_{4}[/tex] = ( 18 , -23/2)
Area of convex polygon = [tex]\frac{1}{2} [x_{1} y_{2} + x_{2}y_{3}+.........+x_{n}y_{1}] - [y_{1}x_{2}+y_{2}x_{3}+......+y_{n}x_{1}][/tex]
From figure we find the area of C₁C₂C₃C₄C₈, where C₈ = (8/3 , -23/2)
Area =
[tex]\frac{1}{2} [8/3 (-23/6 )+ 9(-35/6)+46/3(-23/2)+18(-23/2)+8/3(-35/6)] - [(-35/9)9+(-23/6)46/3+(-35/6)18+(-23/2)8/3+(-23/2)8/3][/tex]
= 184 / 2
Therefore total area of convex polygon = 2 × 184/2 = 184 sq. units
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Question 12
In the figure shown, if J, P, and L are the midpoints of KH, HM, and MK, respectively, find the values of x, y, and z.
Yes it is divisible by 3. A number is fully divisible by three if its digit sum is also divisible by three, according to the rule of divisibility test for three.
what is divisibility test?The divisibility rule is a concise and practical approach to check, often by looking at the integer's digits, whether a given integer is divisible by a given set divisor without actually executing division. Without actually doing the division procedure, you may quickly discover if a given number can be divided by a defined divisor using the divisibility test. When dividing two numbers exactly, the quotient must be an integer and the remainder must be zero.
add all number
9+9+0 = 18
and 18/3 = 6
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On solving the provided question, we can say that in this triangle 2x-6 = 3 => 2x = 9 => x = 9/2 and 2z = 4 => z = 2
What is triangle?A triangle is a polygon since it has three sides and three vertices. It is one of the basic geometric shapes. The name given to a triangle containing the vertices A, B, and C is Triangle ABC. A unique plane and triangle in Euclidean geometry are discovered when the three points are not collinear. Three sides and three corners define a triangle as a polygon. The triangle's corners are defined as the locations where the three sides converge. 180 degrees is the result of multiplying three triangle angles.
here,
in this triangle
2x-6 = 3
2x = 9
x = 9/2
2z = 4
z = 2
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Solve the differential equation by variation of parameters.
y'' + y = sin2 x
The solution to the differential equation y'' + y = sin2x is y = -2sin2x + (Acos2x + Bsin2x).
This differential equation can be solved by the method of variation of parameters. This method involves finding two arbitrary functions, U and V, such that U' = V and V' = -U + sin2x, so that the general solution of the differential equation is y = U + V. Solving the two equations yields U = Acos2x + Bsin2x and V = -2sin2x, where A and B are arbitrary constants. Substituting U and V into the general solution of the differential equation yields the final solution y = -2sin2x + (Acos2x + Bsin2x).
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Which of the following is equivalent to (X - 2) (x + 9) =0
The equivalent quadratic equation to (x - 2)(x + 9) = 0 is x² + 7x - 18 = 0.
What is a quadratic equaton?A quadratic equation is an algebraic expression in the form of variables and constants.
A quadratic equation has two roots as its degree is two.
We know if α and β are the roots of a quadratic equation ax² + bx + c = 0,
Then we can construct the equation by the factors (x - α)(x - β).
Given, We have to construct a quadratic equation with (x - 2)(x + 9) = 0.
Now, Multiply the terms we have,
x² + 9x - 2x - 18 = 0.
x² + 7x - 18 = 0.
So, Our required quadratic equation is x² + 7x - 18 = 0.
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Be so kind and help me please!
Answer:
2A/h - b2= b1
Step-by-step explanation:
Find the measure of the indicated angle to the nearest degree.
Answer:
70⁰
Step-by-step explanation:
We need to use the knowledge of trigonometry to find the indicated angle. Given the information in relation to the angle we have the opposite and the hypotenuse.
we therefore use Sine in this calculations
Sin ? = opposite/ hypotenuse
= 16/17
= 0.9412
to get the angle we get the sine inverse
Sine inverse of 0.9412 = 70.25⁰
= 70⁰
Answer:
? ≈ 70°
Step-by-step explanation:
using the sine ratio in the right triangle
sin ? = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{16}{17}[/tex] , then
? = [tex]sin^{-1}[/tex] ( [tex]\frac{16}{17}[/tex] ) ≈ 70° ( to the nearest degree )
The sum of -3 times x +6.3 what are all the possible values of x
So x = 2.1 is the only possible value of x that makes the equation true.
Define 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 Algebraic expression.An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.
The equation is given as follows:
-3x + 6.3 = 0
To find the value of x, we need to isolate x on one side of the equation. We can do this by adding 3x to both sides:
-3x + 3x + 6.3 = 0 + 3x
6.3 = 3x
Now we can divide both sides by 3:
x = 6.3/3
x = 2.1
So x = 2.1 is the only possible value of x that makes the equation true.
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Please help with all
Just do the second one…
The L.C.M. defines the least number that is exactly divisible by two or more numbers, whereas the G.C.F. defines the greatest factor present between any given pair of two or more numbers.
What is the difference between LCM and GCF?LCM is also known as the Least Common Multiple (LCM), and HCF is also known as the Greatest Common Factor (GCF).
The highest common factor (HCF) between two or more numbers is two or more. The LCM, on the other hand, is the lowest common multiple that exactly divides these two figures. The greatest common factor between any two numbers is also known as HCF. Between two or more numbers, LCM is also known as Least Common Divisor.
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19. The Beaufort Scale measures the intensity of tornadoes. For a tornado
3
with Beaufort number B, the formula v = 1. 9B2 may be used to
estimate the tornado's wind speed in miles per hour. Estimate the wind
speed of a tornado with Beaufort number 9.
The the wind speed of a tornado with Beaufort number 9 is 51.3 miles per hour.
What is speed?
Speed is calculated as follows: speed = distance * time. Knowing the units for distance and time is necessary to calculate the units for speed. The units will be in meters per second (m/s) in this example because the distance is measured in meters (m) and the time is measured in seconds (s).
Given:
The Beaufort Scale measures the intensity of tornadoes. For a tornado
with Beaufort number B, the formula [tex]v = 1.9B^\frac{3}{2}[/tex] may be used to
estimate the tornado's wind speed in miles per hour.
We have to estimate the wind speed of a tornado with Beaufort number 9.
Plug B = 9 in the formula [tex]v = 1.9B^\frac{3}{2}[/tex]
⇒
[tex]v = 1.9(9)^\frac{3}{2} \\v = 1.9(27)\\v = 51.3[/tex]
Hence, the the wind speed of a tornado with Beaufort number 9 is
51.3 miles per hour.
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If star a is closer to us than star b, then star a's stellar parallax is __________.
O Larger than that of star B
O Larger than that of star A
O Smaller than that of star B
O Smaller than that of star A
If star A is closer to us than star B, then Star A's parallax angle is: Larger than that of Star B.
Hence, option (A) is correct choice.
The parallax of a star at a distance of 10 parsecs would be 0.1′′ since parallax is inversely proportional to distance. The parallax of Proxima Centauri, a star in the triple system of Alpha Centauri, is 0.76813′′, indicating that it is 4.24 light-years away from Earth at a distance of 1/0.76813, or 1.302 parsecs.
The apparent shift in an object's location caused by a change in the observer position is known as parallax. This apparent shift is measured (in arc seconds) is reversed to provide the distance from the background stars (in parsecs).
The definition of an object's absolute magnitude is the apparent magnitude the object would have if it were observed at a distance of precisely 10 parsecs (32.6 light-years), without light extinction.
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Teresa wrote this expression to describe the total distance she was going to swim during two swim classes s+3 which situation could be described by this expression
The correct answer of expression 's+3' is (c) Teresa wasn't sure how far she would swim during the first class. She would swim 3 laps during the second class. She used the sign "+" instead of "x" or any other notation.
What is an 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 is (Number/variable, Math Operator, Number/variable)
The answer here should be Option C, as she used the sign "+" instead of "x" or any other notation. She wanted to add something.
And as it is very clear that she wanted to write the information about two classes, so that makes the second term for second class and first term for first class.
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The complete Question is:
Teresa wrote this expression (s+3) to describe the total distance she was going to swim during two swim classes. Which situation could be described by this expression?
A. Teresa wasn't sure how far she would swim during the first class. She would swim 3 fewer laps during the second class.
B. Teresa wasn't sure how far she would swim during the first class. She would swim the same distance for 3 classes.
C. Teresa wasn't sure how far she would swim during the first class. She would swim 3 laps during the second class.
D. Teresa wasn't sure how far she would swim during the first class. She would swim 3 times farther during the second class.
Find the length of the third side. If necessary, round to the nearest tenth
Answer:
6.3
Step-by-step explanation:
This is a right triangle, so in order to solve you can use the Pythagorean theorem; which is a² + b² = c² (The hypotenuse, or the longest side, equals C. A and B equal the legs, or the shorter sides.) So once you plug in the values, your equation should look like this:
3² + b² = 7²
Square each side, or in other words multiply it by itself.
9 + b² = 49
Subtract 9 from both sides.
b² = 40
Take the square root of 40 and your done!
b = 6.3
I hope this helped you! :)
Rectangle A is similar to rectangle B by scale factor r. The length of rectangle A is 1. 5r+2. 25 units. The length of rectangle B is 3 unite. What is the scale factor
The scale factor of the two rectangles is 1.5
Describe the rectangle.According to Euclidean Plane Geometry, a rectangle is a quadrilateral with equal opposed sides and four right angles. In other words, a rectangle is a parallelogram with a right angle of 90 degrees or an equiangular quadrilateral (i.e., 360°/4 = 90°). A rectangle is referred to as a square if its four sides are all the same length.
The ratio of the matching side lengths of two comparable figures is known as the scale factor. We know that the ratio of the respective side lengths of the two rectangles equals equivalent to r since Rectangle A and Rectangle B are similar to one another by the scale factor r.
We can set up the following ratio to determine the scale factor if the lengths of rectangles A and B are 1.5r+2.25 units and 3 units, respectively.
(1.5r+2.25) / 3 = r
Solving for r, we get:
r = (1.5r + 2.25) / 3
multiply both sides of the equation by 3
3r = 1.5r + 2.25
Subtract 1.5r from both sides
1.5r = 2.25
divide both sides by 1.5
r = 2.25/1.5
r = 1.5
Therefore, the scale factor of the two rectangles is 1.5.
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ractical Work/Activities A problem on the purification of the impurities present in the pond is given by t 8100p C(p) = 100-P where p is the percentage impurities present in the polluted water and C(p), the pr Rs. needed to remove p% of the impurities. a) Find the cost of removing 90% of the impurities. lim Find C(p). What does the value mean? p→19 Is it possible to purify completely? Give reason. b) c) O oved by Curriculum Development Centre (CDC), Nepal
Therefore , the solution of the given problem of ratio comes out to be
lim C(p) as p->19 = 152900.
Define ratio.A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics. If we need to compute a percentage of a number, we should divide it by its whole and then multiply it by 100. The proportion, therefore, refers to a component per hundred. Per 100 is what the term percent signifies. The letter "%" stands for it.
Here,
a) To find the cost of removing 90% of the impurities, we can substitute 90 for p in the equation:
C(p) = 8100p / (100-p)
C(90) = 8100(90) / (100-90)
C(90) = 729000
So the cost of removing 90% of the impurities is Rs. 729000.
b) To find the limit of C(p) as p approaches 19, we can substitute 19 for p in the equation:
lim C(p) as p->19 = 8100(19) / (100-19)
lim C(p) as p->19 = 152900
The value of the limit of C(p) as p approaches 19 means that as the percentage of impurities approaches 19, the cost of purification approaches Rs. 152900.
c) It is not possible to purify completely as the percentage of impurities approaches 100. It's because as the percentage of impurities becomes closer to 100, the denominator of the fraction becomes smaller, thus the value of the cost of purification becomes larger, and it is impossible to pay an infinite amount of money.
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A ratio is a comparison of two quantities. For example, the ratio of cows to pigs on a farm could be 1 to 3. For every 1 cow, there are 3 pigs. The ratio of chocolate chips to raisins in a cookie could be 5 to 9. For every 5 chocolate chips in the cookie, there are 9 raisins. Do you notice a repeating phrase in these examples? “For every” is key ratio language. It tells you how much of one quantity exists in comparison to the other quantity. A ratio consists of just the numbers, not the units. If someone asked the ratio of chocolate chips to raisins in the cookie example, you’d say 5 to 9.
Which of these could you represent with a ratio?
The solution is given by the equation A = how many diet sodas there are in the fridge compared to how many regular sodas
What is Proportion?The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.
The proportional equation is given as y ∝ x
And , y = kx where k is the proportionality constant
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Given data ,
Let the proportion be represented as A
Now , the equation will be
The ratio of cows to pigs on a farm could be 1 to 3
So , the proportion is 1 : 3
Now , The ratio of chocolate chips to raisins in a cookie could be 5 to 9
So , the proportion is 5 : 9
Now , the number of diet sodas there are in the fridge compared to number of regular sodas is also a proportion
Hence , the proportion is number of diet sodas to number of regular sodas
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Write the Riemann sum to find the area under the graph of the function f(x) = x4 from x = 5 to x = 7.
Answer:
Refer to the attached image.
Step-by-step explanation:
How do you write no solution?
No solution is when a system of equations has no solution. This means that the equations are inconsistent, and there is no set of values that can make the equations true.
For example, if the system of equations is 2x + 3y = 4 and 2x + 3y = 5, then there is no solution. This is because no matter what values are chosen for x and y, the equations cannot both be true. This means that the system of equations is inconsistent, and there is no solution.
To symbolically represent no solution, you can use the following notation:
2x + 3y = 4, 2x + 3y = 5 No solution
This notation is used to indicate that the equations are inconsistent and that there is no solution.
Complete question: What is the solution to the equation 2x + 3y = 4 and 2x + 3y = 5?
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Courtney is in the process of buying a minivan. The car she wants to buy is $29,999. The required down payment is 20% . How much will she need to put down in order to purchase this car
Car insurance coverage covers damages caused by or other mishaps. The following damages are covered claims except :
A. A head on collisions .
B. A tree falls in your car during a windstorm
C. The sun weathers the paint on your car and it must be repainted
D. A thief breaks your back window and steals the guitar from your back seat
On observing the provided question we can say that - the function f(x) = a^x is Range : (−∞,∞) or all real numbers
What is Range?Range: the discrepancy between the top and bottom numbers. To get the range, locate the greatest observed value of the number and deduct the least observed value (the minimum). The data points between the two extremes of the distribution are not taken into consideration by the range; just these two values are considered. Between the lowest and greatest numbers, there is a range. Values at the extremes make up the range. The data set 4, 6, 10, 15, 18, for instance, has a range of 18-4 = 14, a maximum of 18, a minimum of 4, and a minimum of 4.
The answer to the question is that all real numbers or (−∞,∞)
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