The line plots show the results of a survey of 10 boys and 10 girls about how many hours they spent reading for pleasure the previous week.
Select from the drop-down menus to complete each statement.
Enter a recursive rule for the geometric sequence. 10, −80, 640, −5120, ...
a(1)=
a(n)=
Answer:
The value is:
a(1)=10 and a(n)=(-8)×a(n-1)
Step-by-step explanation:
We are given a sequence as:
10, -80 , 640 , -5120 ,.........
since by looking at the sequence we could see that it is a geometric progression (G.P.) with common ratio -8.
Also a(1) denotes the first term of the sequence and a(n) denotes the nth term of the sequence.
a(1)=10
Also a(n)=(-8)×a(n-1)
since a(1)=10
a(2)=(-8)×10=-80
a(3)=(-8)×(-80)=640
a(4)=(-8)×640=-5120
and so on.
Hence the answer is:
a(1)=10 and a(n)=(-8)×a(n-1)
whoever answers first gets a brainliest . thanks
Must a decimal divisor and a decimal dividend have the same number of decimal places in order to have a whole number quotient? write a division equation using two decimal numbers to support your answer.
Answer:
NO. They do not have to be equal
Step-by-step explanation:
A whole number takes place when two conditions are satisfied:
1. The numerator or the dividend is greater than the divisor.
For example, when you divide 0.1 by 0.002.
The dividend 0.1 is greater than 0.002
2. The divisor is small than the dividend.
This rule is the same as one above.
for example:
the quotient x is given by [tex]\frac{1}{0.25}\\ = 4[/tex]
I really need the answer I’ve been stuck on this all day
which numbers have exactly 2 factors
The constant of proportionality between the circumference and _______ of a circle is equal to π which means that for any given circle, the length around the circle _______ by its diameter is a little over _______ , or more exactly π
Blank 1: Diameter or radius
Blank 2: Divided or multiplied
Blank 3: 4, 3, or 5
PLEASE ANSWER ASAP
A flagpole is 4meters tall how many centimeters tall is the flagpole
what is the order from least to greatest for 5.934, 59/10, 5 8/9, 5.94
r+3.2=6.1
What is the value of r? Show work
rewrite using parentheses to make each statement true
a: 42 + 12 ÷ 6 = 9
b: 33 - 14 1/2 + 3 1/2 = 15
c: 32 ÷ 8 x 2 = 2
all i need to know is where parentheses go.
there was a warning of volcano eruption in Kilauea in Hawaii. from September 7th to September 8th 2014, the flow advanced about 3/8 kilometers towards the edge of highway 130. the distance (in kilimeters) between the edge of the lava flow and the highway 130 can be given by the function f(t)=6-3/8t where t is the number of days since September 9, 2014. what is the input variables? What are the units of the input variable?
Help needed please and thank you!
if 5 bags cost $255.35 how much would 2 bags cost
Answer:
yes 102.14
Step-by-step explanation:
The sales tax in the city of Taxemalot is 8.1%. What is the growth factor for any item purchased at your local Tarmart? a. 8.1 c. 1.081 b. 0.81 d. 81
Can someone please help me with 2,3,4
Which expression is equivalent to 12(2+3x−6) ?
3x−4
32x−5
3x−5
32x−2
Answer:
A. 3X-4
Step-by-step explanation:
This system has one solution. y=x2−3x+7y=3x−2 What is the y-coordinate of the solution? Enter your answer in the box.
Kim and her 5 friends hiked over a three day weekend hey hiked the same distance each day how many miles did they hike per day?
Answer:
3
Step-by-step explanation:
Find the slope.
1.) (-4, -18), (-2, -10)
2.) (-19, 3), (7, 16)
Jasmine has a piece of ceramic tile that is shaped as a parallelogram. What is the area of this parallelogram?
96 in²
288 in²
352 in²
384 in²
288 would be your Answer hope this helps
jamal purchased a boat for 7/10 of the asking price of $18,950. He had to pay 6.5% sales tax. What was the amount of Jamal's bill?
Triangle ABC has vertices A(5, 3) , B(3, 7) , and C(1, 4) . Triangle ABC is dilated, and the vertices of the image are A′(2.5, 1.5) , B′(1.5, 3.5) , and C′(0.5, 2) . The center of dilation is the origin.
What is the scale factor of the dilation?
0.25
0.5
2
4
I believe the answer would be 0.5
Hope this helps ;}
Answer: The correct answer is (B) 0.5.
Step-by-step explanation: Given that A(5, 3) , B(3, 7) and C(1, 4) are the vertices of ΔABC and A′(2.5, 1.5) , B′(1.5, 3.5) and C′(0.5, 2) are the vertices of ΔA'B'C'.
We are to find the scale factor of the dilation of the centre of dilation is origin.
We know that the scale factor of dilation is given by the following formula:
[tex]S_c=\dfrac{\textup{length of a side of the dilated figure}}{\textup{length of the corresponding side of the original figure}}.[/tex]
We can calculate the lengths of the corresponding sides AB and A'B' of ΔABC and ΔA'B'C' respectively using distance formula as follows:
[tex]AB=\sqrt{(3-5)^2+(7-3)^2}=\sqrt{4+16}=\sqrt{20}=2\sqrt5,\\\\A'B'=\sqrt{(1.5-2.5)^2+(3.5-1.5)^2}=\sqrt{1+4}=\sqrt{5}.[/tex]
Therefore, the scale factor for the dilation is given by
[tex]S_c=\dfrac{A'B'}{AB}=\dfrac{\sqrt5}{2\sqrt5}=\dfrac{1}{2}=0.5.[/tex]
Thus, the required scale factor is (B) 0.5.
Suppose your heart is beating 72 times per minute. At this rate, how many times will it beat in 15 minutes?
Find the vertex and x-intercepts for 39x^2+38x+8.
Tamara has 12 pencils. There are three red pencils and p other pencils. Write an equation to represent this situation.
what is this plzz need help for math homework it is very hard
For the total length of the five rods in terms of a is L = 15a.
The formula for the Total Length of Five Rods
Certainly! To find a formula for the total length (L) of the five rods in terms of a, let's denote the lengths of the rods as a, 2a, 3a, 4a, and 5a (since there are five rods, each consecutive rod has a length that is one unit greater than the previous rod). So, the lengths of the rods are:
First rod: a
Second rod: 2a
Third rod: 3a
Fourth rod: 4a
Fifth rod: 5a
Now, to find the total length (L), add up the lengths of all the rods:
L = a + 2a + 3a + 4a + 5a
Combine like terms:
L = (1 + 2 + 3 + 4 + 5) · a
The sum of the first n natural numbers is given by the formula n(n + 1)/2, so in this case:
L = 5 · 6/2 · a
Simplify the expression:
L = 15a
So, the formula for the total length L in terms of a is L = 15a.
The complete question is:
Here are five straight rods.
All measurements are in centimeters.
The total length of the five rods is L" " cm.
Find a formula for L in terms of a.
Write your formula as simply as possible.
A store owner buys a total of 4,000 items for two different products. For shipping costs, it is $0.10 per item of product A and $0.04 per item of product B. If the total shipping cost is $352, which system of equations can be used to determine how much of product A and product B the store owner bought?
Substitute the given values of the variables into the equation. Write True or False to indicate whether the values make the open sentence true or false. Show all work for solving the problem. Values: x=7,y=0.2,z=22
2x+0.8/y=z-4
In Ms. K’s class, 75% of the students are the boys. There are 18 boys in the class. How many students are in the class?