Answer:
6th term = 23,552
Step-by-step explanation:
Mutilyby 4 from left to right
368/92 =4--------------- 92x4= 368
92/23=4--------------- 23x4 =92
1) 23
2) 23x4= 92
3) 92x4=386
4) 386x4=1,472
------and so on
Eric and James are looking at this number sequence: 4, 8, 20, 56, 164. What must they do to find the term-to-term rule?
Answer:
[tex]f(n)=f(n-1) + 4(3)^{n-2}[/tex]
[tex]\textsf{where}\quad f(1)=4[/tex]
Step-by-step explanation:
Given sequence: 4, 8, 20, 56, 164
First, work out the difference in the terms:
[tex]4 \underset{+4}{\longrightarrow} 8 \underset{+12}{\longrightarrow} 20 \underset{+36}{\longrightarrow} 56 \underset{+108}{\longrightarrow} 164[/tex]
As the first differences are not the same, work out the second differences:
[tex]4 \underset{\times 3}{\longrightarrow} 12 \underset{\times 3}{\longrightarrow} 36 \underset{\times 3}{\longrightarrow} 108[/tex]
Therefore, the term-to-term rule is:
[tex]f(n)=f(n-1) + 4(3)^{n-2}[/tex]
[tex]\textsf{where}\quad f(1)=4[/tex]
[tex]f(2)=f(1) + 4(3)^{2-2}=4+ 4(3)^{0}=4+4=8[/tex]
[tex]f(3)=f(2)+4(3)^{3-2}=8+4(3)^1=8+12=20[/tex]
[tex]f(4)=f(3) + 4(3)^{4-2}=20+4(3)^2=20+36=56[/tex]
[tex]f(5)=f(4) + 4(3)^{5-2}=56+4(3)^3=56+108=164[/tex]
Write the quadratic equation in standard form: -7x+11= −2x^2
Answer:
[tex]x=\frac{7-\sqrt{137} }{4} =-1.76[/tex]
Step-by-step explanation:
A company promises to release a new smartphone model every month.Each models battery life will be 3% longer than the previous models. If the current models battery life is 684.0 minutes , what will the latest models battery life be 7 months from now ?
Using an exponential function, it is found that the latest models battery life will be of 841 minutes 7 months from now.
What is an exponential function?An increasing exponential function is modeled by:
[tex]A(t) = A(0)(1 + r)^t[/tex]
In which:
A(0) is the initial value.r is the decay rate, as a decimal.In this problem, considering that the current battery life is of 684 minutes, and it should increase by 3% each month, the equation for the battery life after t months is given by:
[tex]A(t) = 684(1.03)^t[/tex]
Then, in 7 months, it will be given by:
[tex]A(7) = 684(1.03)^7 = 841[/tex]
More can be learned about exponential functions at https://brainly.com/question/25537936
(WILL GIVE BRAINLIEST TO CORRECT ANSWER)
Below is a table showing the maximum distance over time that an Adélie penguin can walk.
The distance that an emperor penguin can walk over a period of time is represented by the equation d=1.7t
A. Which penguin species has a faster maximum walking speed? Show your work.
B. Approximately how long would it take the fastest penguin from both species to walk 3 miles? Show your work
Answer:The penguin will walk 75.15 feet in 45 seconds.
It will take the penguin 26.95 seconds to walk 45 feet.
Through cross multiplication we can determine the unknown quantity we need
Step-by-step explanation:
45N,30N what is the resulant force on the boat
Answer:
15N.
Step-by-step explanation:
45 - 30
= 15N.
Answer:
15
Step-by-step explanation:
45N - 30N = 15N
The resultant force on the boat is 15N.
On 2015
Taman ched at how many people ride the mouting teny
He made a deal for the data,
BESSON to furiate ma, what is the typical A posle who wore the
AS DO
B. There
C. 58
De
it's A because it's asked you which number got the most dots basically
Julia and her children went into a restaurant where they sell hamburgers for $7 each and tacos for $2.50 each. Julia has $60 to spend and must buy a minimum of 14 hamburgers and tacos altogether. If xx represents the number of hamburgers purchased and yy represents the number of tacos purchased, write and solve a system of inequalities graphically and determine one possible solution.
Answer:
115.50
Step-by-step explanation:
you times and divide the numbersto get to yy
The one possible solution can be yy = 10 and xx = 5 .
What is inequality?Inequality refers to the phenomenon of unequal and/or unjust distribution of resources and opportunities among members of a given society. The term inequality may mean different things to different people and in different contexts.
According to the question
Julia and her children went into a restaurant where ,
hamburgers (xx)= $7 each
tacos (yy) = $2.50 each.
Julia has $60 to spend and must buy a minimum of 14 hamburgers and tacos altogether.
i.e, xx + yy ≥ 14 ----------------------------(1)
7xx + 2.5yy ≤ 60 ----------------------(2)
from equation (1) and (2) graph attached ...
solving both equation
multiplying equation (1) with -7
-7xx + -7yy ≤ -98 ----------------(3)
now adding equation (3) and (2)
-7xx + -7yy ≤ -98
7xx + 2.5yy ≤ 60
= - 4.5yy ≤ -38
= 4.5yy ≥38
= yy ≥ 8.4
now ,
yy xx
9 5.35
10 5
11 4.64
Hence, one possible solution can be yy = 10 and xx = 5
To know more about inequality here :
https://brainly.com/question/25285332
# SPJ2
PLEASE ANSWER ASAP WILL REWARD!
Find the formula for an inverse proportion, knowing that its
graph goes through the point:
C(-25, -0.2)
The formula for an inverse proportion, knowing that its graph goes through the point: C(-25, -0.2) is y=5/x.
What is inversely proportional relationship?Let m and n are two variables.
Then m and n are said to be inversely proportional to each other if
[tex]m = \dfrac{c}{n} \\\\ \text{or} \\\\ n = \dfrac{c}{m}[/tex]
(both are equal)
where c is a constant number called constant of proportionality.
This inversely proportional relationship is denoted by
[tex]m \propto \dfrac{1}{n} \\\\ \text{or} \\\\n \propto \dfrac{1}{m}[/tex]
As visible, increasing one variable will decrease the other variable if both are inversely proportional.
The formula for the inverse function is given as,
[tex]y=\dfrac{c}{x}[/tex]
Here, c is constant.
The graph goes through the point: C(-25, -0.2). For the inverse function.
[tex]-25\propto\dfrac{1}{-0.2}\\-25=\dfrac{c}{-0.2}\\c=-25\times-0.2\\c=5[/tex]
Put the value in the above function,
[tex]y=\dfrac{5}{x}[/tex]
This is the required function.
Hence, the formula for an inverse proportion, knowing that its graph goes through the point: C(-25, -0.2) is y=5/x.
Learn more about inversely proportional relationship variable here:
https://brainly.com/question/13082482
#SPJ1
What is the average rate of change?
A. 4
B. 2/5
C. 1
D. 2
Answer:
C) 1
Step-by-step explanation:
The average rate of change remains constant among the 3 given points as [tex]\frac{5-4}{2-1}=1[/tex] and [tex]\frac{10-5}{7-2}=1[/tex], so your answer is C
I NEED HELP PLS (what percentage of 6th graders are boys?)
Answer:
50%
Step-by-step explanation:
its going up by 10% so its 50% the bar on boys in 6th graders is on 50%
Solve:
n x 3.6 when n = 0.72
Answer:
Substitute n to that 0.72 and multiply it from 3.6
answer would be 2.592
Step-by-step explanation:
How would three billion, nine hundred seventy-six thousand, twelve be written in standard form?
Step-by-step explanation:
3.000976×10⁹ would be how I will write in standard form
Pleaseeeeeeee i need some help hereeeeeeee
Answer:
Attached image
Step-by-step explanation:
Convert 3/4 to 6/8, then count out the points on the line for each number to plot it.
Answer:
There are 8 tick marks, so......
2.75 would go on the 6th tick mark between 2 and 3
1.625 would go on the fifth mark between 1 and 2
For clarification, I have graphed it out below!
Hope this helps!
what is the area and radius of a 10 inch circle?
Answer:
A circle of radius = 10 or diameter = 20 or circumference = 62.83 inches has an area of: 2.02709 × 10 -7 square kilometers (km²) 0.202709 square meters (m²) 2027.09 square centimeters (cm²)
Step-by-step explanation:
If p and q vary inversely and p is 8 when q is 6, determine q when p is equal to 12.
Answer:
q = 4
Step-by-step explanation:
given p and q vary inversely then the equation relating them is
p = [tex]\frac{k}{q}[/tex] ← k is the constant of variation
to find k use the condition p = 8 when q = 6 , that is
8 = [tex]\frac{k}{6}[/tex] ( multiply both sides by 6 )
48 = k
p = [tex]\frac{48}{q}[/tex] ← equation of variation
when p = 12 , then
12 = [tex]\frac{48}{q}[/tex] ( multiply both sides by q )
12q = 48 ( divide both sides by 12 )
q = 4
Answer:
4
Step-by-step explanation:
-
Eighth grade
CC. 14 Box plots Y Z
Mrs. James, a sixth grade teacher, recorded how many minutes each student reported
reading over winter break.
Time spent reading (min. )
+
0
100
200
300
400
500
What was the upper quartile of the time spent reading?
minutes
Submit
The upper quartile of the time spent reading, as shown in the box plot is: 300.
What is the Upper Quartile of a Data in a Box Plot?In a box plot, the upper quartile is represented by the data point located at the end of the edge of the rectangular box in the box plot.
In the box plot, 300 is the value located at the end of the edge of the rectangular box.
Therefore, the upper quartile of the time spent reading, as shown in the box plot is: 300.
Learn more about upper quartile on:
https://brainly.com/question/10353201
What is the value of x?
The circular base of a table lamp has a radius of 9 centimeters. What is the base’s circumference ?
(Use 3.14 for pi)
Answer:
56.52 cm
Step-by-step explanation:
Since the circular base has radius of 9 cm. Therefore the base’s circumference is:
[tex]\displaystyle \large{C=2\pi r}[/tex] where r is radius and C is circumference.
Input r = 9 in:
[tex]\displaystyle \large{C=2\pi \cdot 9}\\\displaystyle \large{C=18\pi}[/tex]
Since π is given to be 3.14:
[tex]\displaystyle \large{C=18\cdot 3.14}\\\displaystyle \large{C=56.52}[/tex]
Therefore, the base’s circumference is 56.52 cm
Answer:
Circumference of base is 56.52 cmStep-by-step explanation:
In this question we have given that radius of circular base of table lamp is 9 cm . And we are asked to find the circumference of base that means we have to find the circumference of circle .
We know that :
[tex]\qquad\underline{\boxed{\frak{{Circumference_{(Circle)} = 2\pi r }}}}[/tex]
Where ,
π refers to 3.14 r refers to radius of circleSolution : -
Now we are finding the circumference of circle by putting value of radius as 9 and value of π as 3.14 in the formula .
[tex] \longrightarrow \qquad \: 2 \times 3.14 \times 9[/tex]
[tex] \longrightarrow \qquad \:6.28 \times 9[/tex]
[tex] \longrightarrow \qquad \: \orange{\underline{\boxed{\frak{56.52 \: cm}}}}[/tex]
Therefore , circumference of base of a table lamp having radius 9 cm is 56.52 cm .#Keep LearningPlease help with the proportions word problem!!
Jillian wants to buy an $80 pair of boots. Before she can, the store raises the price by $24. By what percentage did they raise the price? Use proportions to solve the problem.
Answer:
30%
Step-by-step explanation:
the percent of 24 of 80 is 30% so they rasid the price 30% percent of 80
6th grader here sorry if wrong
BRAINLIEST TO WHOEVER GET IT RIGHT
What are the solutions to the system of equations graphed below?
in picture below:)
Answer:
hey there!
Step-by-step explanation:
your answer should be the first one (0,4 and 2,0)
hope its help yayayayayou
Rules for basic algebra needed
1,945x46 multiplying multiplication
Answer:
89,470
Step-by-step explanation:
The population density of a city is 121 residents per square mile. There are exactly 4,205 that live in the city.
What is the area of the city?
Answer:
34.75 ( that's round to the nearest hundredth )
Step-by-step explanation:
do the math
At Fairview Middle School, 75 band members need to raise a total of $8,250 for a trip. So far, they have raised $3,120.
How much money, in dollars, per band member, still needs to be raised for the trip?
The entire band decides to have a concert to raise the money for the trip. Tickets for the concert will cost $7.50 each.
A local business agrees to donate an additional $0.50 for each $1.00 in ticket sales to the band for their trip.What is the least number of concert tickets the band must sell in order to raise the rest of the money needed for the trip?
How much money, in dollars, per band member, still needs to be raised for the trip?
$68.40A local business agrees to donate an additional $0.50 for each $1.00 in ticket sales to the band for their trip. What is the least number of concert tickets the band must sell in order to raise the rest of the money needed for the trip?
456 ticketsA. Dilation
B. Rotation
C. Reflection
D. Translation
Answer:
Reflection
Step-by-step explanation:
Figure 1 was reflected accross the y axis :)
Have an amazing day!!
Please rate and mark brainliest!!
]
02:14:59
The vertices of a quadrilateral in the coordinate plane are known. How can the perimeter of the figure be found?
O Use the distance formula to find the length of each side, and then add the lengths.
O Use the slope formula to find the slope of each of side, and then determine if the opposite sides are parallel.
O Use the slope formula to find the slope of each of side, and then determine if the consecutive sides are perpendicular.
O Use the distance formula to find the length of the sides, and then multiply two of the side lengths.
Submit
Save and Exit
Next
Markethis anderen
Docs
Answer:
its A: Use the distance formula to find the length of each side, and then add the lengths.
Step-by-step explanation:
Pls give me brainlist.
Riley and her friends buy snacks at the movies. They buy 3 pretzels and 4 drinks for $17.50. The cost of a pretzel is the same as the cost of a drink. The situation can be represented by the graph and the system of equations shown, where p is the cost of a pretzel and dis the cost of a drink. I a. What is the cost of each pretzel? What is the cost of each drink? Show your work.
Answer:
Each costs $2.50
Step-by-step explanation:
Given
Cost of 3 pretzels and 4 drinks = $17.50p = dSolving
3p + 4d = 17.50But, p = d3d + 4d = 17.507d = 17.50d = $2.50⇒ p = $2.50PLEASE HELP 20 POINTS + BRAILYEST!!!
(no links please)
The triangle is the picture down below.
Bonnie has a really yummy sandwich that is shaped like a right triangle. There is a 3 in. line, a 5 in. line, and there’s another line that is unknown. How would solve this problem by using the Pythagorean theorem to find the missing length of one of the lines? Be sure to show all of your work.
Answer:
4 in
Step-by-step explanation:
The Pythagorean theorem tells you the square of the hypotenuse is equal to the sum of the squares of the other two sides. Solve this problem by writing that relationship using the given information, then solving the equation for the missing side.
__
5² = 3² + ?²
25 = 9 + ?² . . . . . simplify
16 = ?² . . . . . . . . . subtract 9
4 = ? . . . . . . . . . . . take the square root
The missing length is 4 inches.
[tex] \huge\green{\overline{\underline{\rm{\purple{꧁⫷ᴀɴsᴡᴇʀ⫸꧂ }}}}} [/tex]
[tex] \large\green{\overline{\underline{\rm{\red{•••••••••••••••••••••••••}}}}} [/tex]
[tex] 5^2 = 3^2 + ( \:)^2 [/tex]
[tex] 25 = 9 + (\:) ^2 [/tex]
[tex] 16 = (\:) ^2 [/tex]
[tex] \sf \green {{=4}} [/tex]
[tex] \large\green{\overline{\underline{\rm{\blue{•••••••••••••••••••••••••}}}}} [/tex]
#CarryOnLearning
#LibreAngMatuto
2. Find the slope of this line.
Answer:
Answered below
Step-by-step explanation:
Slope = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
You need 2 coordinates from your graph as long as the line you have is completely straight. You have 2 points it is (0,3) & (8,0)
So your y2 is 0
y1 is 3
So your x2 is 8
x1 is 0
Plug in and solve (keep in mind you should be expecting a negative slope since your line is sloping downwards as you advance to the right.
m = (0-3)/(8-0)
m = -3/8
m = slope = -3/8x = -0.375x
Slope is given as a number followed by value x
Find x. Round your answer to the nearest tenth of a degree. (Please help)
Answer: 52.1
Step-by-step explanation: