How to do this also how to put this in standard form
The sequence an = 1/2 (2)^(n - 1) is graphed below:
coordinate plane showing the points 2, 1; 3, 2; 4, 4; and 5, 8
Find the average rate of change between n = 2 and n = 4.
The average rate of change of the sequence from n = 2 to n = 4 is 1.5, which is determined by calculating the difference in sequence values for these n values and dividing by the difference in n.
The average rate of change of a function between two points reflects the function's slope between those points. To find the average rate of change of the sequence [tex]a_n = \frac{1}{2} (2)^{n - 1}[/tex]from n = 2 to n = 4, we calculate the differences in the sequence values corresponding to these n values and divide by the difference in n itself.
The value of a_n when n = 2 is [tex]a_2 = \frac{1}{2} (2)^{2 - 1}= 1.[/tex]The value of a_n when n = 4 is [tex]a_4 = \frac{1}{2} (2)^{4 - 1}[/tex]= 4.To find the average rate of change, use the formula: rate of change = [tex](a_4 - a_2)[/tex] / (4 - 2) = (4 - 1) / (4 - 2) = 3/2 = 1.5.Therefore, the average rate of change between n = 2 and n = 4 for this sequence is 1.5.
Monica purchased adult and youth tickets for the fair. She bought x adult tickets for $28 each and y youth tickets for $15. Write an expression that can be used to show the total cost, C, of all tickets
Jill and her children build 8 sandcastles.Click on the first 4 multiples of 8
How do you tell a triangle is not a right triangle
challenge to all the maths lover
A bakery sells 6 bagels for $2.99 and 4 muffins for $3.29. What is the total cost in dollars for 4 dozens bagels and 16 muffins, not including tax? Need help trying figure how to start solving
Write an equation of the line that is perpendicular to y = −4x + 8 and passes through the point (5, 1)
Which answer shows a correct order to solve this story problem? Victor bought 3 sandwiches for $3.25 each, 3 bags of chips for $1.10 each, and a bottle of water for $1.99. He left the waiter a $2.25 tip. How much did Victor spend?
A. Step 1: Add the price of a sandwich to the price of the bottle of water. Step 2: Multiply that total by 3. Step 3: Add the total price of 3 bags of chips to that total. Step 4: Add the tip to the final total for all the items.
B. Step 1: Calculate the total price of the 3 sandwiches. Step 2: Calculate the total price of the 3 bags of chips. Step 3: Add $1.99 to total cost for the sandwiches and chips. Step 4: Add the tip to the final total for all the items.
C. Step 1: Add the price of a sandwich and a bag of chips. Step 2: Add $1.99 to total for the sandwiches and chips. Step 3: Multiply that total by 3. Step 4: Add the tip to the final total for all the items.
All books in a store are being discounted by 40%. let x represent the regular price of any book in the store which expression describes the sale price of a book ?
When choosing a new class color, 90 students voted for crimson and 60 voted for royal blue. What percent of these students voted for the color crimson?
The flat surfaces of a 3D shape are called what? Faces Edges Vertices
The flat surfaces of a 3D shape are called faces.
The faces serve as the two-dimensional polygonal areas that define the boundaries of a 3D object. In geometry, for instance, a cube is a common 3D shape that has six faces, each of which is a square. Each face is bordered by edges, which are the straight lines where two faces meet, and the corners of the faces are known as vertices (or vertex in singular form).
Examining various 3D shapes, such as the tetrahedron, which has four triangular faces, and the octahedron with its eight triangular faces, provides a clearer understanding of how faces constitute the polyhedron's shape.
what does these equation equal to [x+x]+[x+x+x]=blank and [x+x+x]+[x+x+x]=
Answer:
[x+x] + [x+x+x] = [2x] + [3x] = 5x
[x+x+x] + [x+x+x] = [3x] + [3x] = 6x
Hope this helps :)
PLZ HELP!!!!!! (WILL GIVE BRAINLIEST!!!!)
Place the following temperatures in order from coldest to hottest: -8°C, 10°C, -5°F, 40°F
Factor 15a^3+ 20a^2- 6a- 8 by grouping
Carol has a small copy of a painting. The dimensions of her copy are shown at right. The scale of the copy is 0.5 inches : 12 centimeter.
a.Find the dimensions of the original painting.
b.Find the area of the original painting.
c.One centimeter is equal to approximately 0.033 foot. Find the dimensions of the original painting in feet.
d.Find the area of the painting in square feet. Round to the nearest thousands.
(I'm sorry I don't understand this...can anyone help??..)
What is 4,7,12,19,28 in quadratic sequence
Answer:
nth term = x²+3
50th term = 2503
100th term = 10003
i really need help with this question
Curtis build a dog house with base shaped like a cube and a roof shaped like a pyramid. The cube has an edge lenght of 3 1/2 feet. The height of the pyramid is 5 feet. Find the volume of the doghouse rounded to the nearest tenth.
A cylinder has a Height 12 and a radius 3.7 what is it’s volume?
Barb is making a bead necklace. She strings 1 white bead, then 3 blue beads, then 1 white bead and so on. Write the numbers for the first eight beads that are white. What is a rule for the pattern?
In Barb's necklace pattern, white beads occur at position numbers 1, 5, 9, 13, 17, 21, 25, and 29. The rule for the pattern is that any white bead will appear at a position that is 4n + 1, where n is any non-negative integer.
Explanation:The student's question involves determining the position numbers of the first eight white beads in a pattern and identifying a rule for this pattern. The pattern established by Barb is one white bead followed by three blue beads, which then repeats. To find the positions of the first eight white beads, let's enumerate the pattern until we have identified eight white beads.
WhiteBlueBlueBlueWhiteBlueBlueBlueWhite...As we can see, the white beads appear in a consistent pattern at every fourth position in the sequence. Thus, by listing out the pattern, we can identify the first eight white beads' position numbers as follows:
1591317212529The rule for the pattern can be described as follows: any white bead will be at a position number that is 1 more than a multiple of 4 (i.e., 4n + 1, where n is a non-negative integer).
The first eight white beads in Barb's necklace pattern are in positions 1, 5, 9, 13, 17, 21, 25, and 29. The rule for the pattern is 4n - 3 for the nth white bead.
Explanation:Barb is making a bead necklace with a repeating pattern: 1 white bead, followed by 3 blue beads, and then the pattern repeats. To determine the numbers for the first eight beads that are white, we can examine the pattern more closely. Since the pattern begins with a white bead and every white bead is followed by three blue beads, we can deduce that it takes 4 beads in total to complete one cycle of the pattern (1 white + 3 blue).
The positions of the first eight white beads are as follows: 1st, 5th, 9th, 13th, 17th, 21st, 25th, and 29th. The rule for this pattern can be expressed as follows: To find the position of any white bead in the sequence, you can use the formula 4n - 3, where n represents the nth white bead in the sequence.
For example, to find the position of the third white bead, we substitute n with 3 into our formula: 4 * 3 - 3, which equals 9. Therefore, the third white bead is the 9th bead in the overall pattern.
I really need help!! God bless you.
Which figure can be formed from the net?
Hannah has 11 toothpicks that are the same length.Name the types of triangles and quadrilaterals Hannah can make if she uses only one toothpick for each side of each figure
Answer:
Step-by-step explanation:
Given that Hannah has 11 toothpicks that are the same length
When she uses only one toothpick for each side then we see that all sides would be equal whether quadrilateral or triangle.
Hence she can make equilateral triangles, rhombuses or squares out of these 11 toothpicks
Either one equilateral triangle, and 2 rhombuses, or one equil. triangle and 2 squares or 1 equil triangle with 1 square, 1 rhombus or 2 equil triangles with one square or rhombus
A=LW;for L. Solve for the indicated variable. Include all work in the answer.
Solving for L , we get A/W= L
What are linear equations ?
Equations of degree 1 are called Linear Equation
To solve the above equation for the variable L . We need to isolate the variable on one side of the equation with the other terms on the other side
Given liner equation :
A= LW
In order to get L , need to isolate L and need to divide whole equation by W
A/W = LW/W
A/W= L
Learn more about Linear Equation
https://brainly.com/question/2263981?referrer=searchResult
After school,Philipe spent 1 3/4 hours of baseball practice, 2 1/4 hours on homework, and 1/4 hour getting ready for bed.Wich is the most reasonable estimate for how long he spent on his activities:3 hours,4 hours,or 5 hours?Explain
solve the following proportion equation _X =_4
5 10 do the wholr thing step by step and explain thanks
Which of the following represents seventh root of x to the sixth power in exponential form
Katenka cross country skied a trail that was 3/4 mile each way. after skiing 2/3 of the trail she turned around. What fraction of a mile did katenka ski before she turned around.