Answers
Answer: 381
Step-by-step explanation:
Lets solve this in two parts, first the bottom one, then the upper one
Bottom one is a rectangle so 3*7*16=336
The one above is a triangular prism or something. You use base times height to find it. The base is 3*5/2=7.5
7.5 times height of 6 is 45.
Now add the 2 together to get 381
Related Questions
3. The sequence 6, 18, 54, 162, … shows the number of pushups Kendall did each week, starting with her first week of exercising. (a) What is the recursive rule for the sequence? (b) What is the iterative rule for the sequence?
Answers
Answer:
Please check the explanation.
Step-by-step explanation:
(a) What is the recursive rule for the sequence?
Given the sequence
6, 18, 54, 162,...
Please note that each successive term is 3 times the previous term.
i.e. 18 = 6×3, 54 = 18×3, 162 = 54×3
Here, r = 3 is the common multiplier
In other words, every next term can be obtained by multiplying the previous term by a number 'r', using the recursive formula
[tex]a_n=a_{n-1}\times r[/tex]
Here, aₙ is r times the previous term aₙ₋1.
For example, in order to determine the 2nd term a₂, just put n=2 in the recursive formula
[tex]a_n=a_{n-1}\times r[/tex]
so substituting r = 3, and n = 1 in the recursive formula
[tex]a_2=a_{2-1}\times 3[/tex]
[tex]a_2=a_1\times \:3\:\:\:\:\:\:[/tex]
as
a₁ = 6
so
[tex]a_2=6\times \:3\:\:\:\:\:\:[/tex]
[tex]a_2=18[/tex]
(b) What is the iterative rule for the sequence?
Given the sequence
6, 18, 54, 162,...
A geometric sequence has a constant ratio 'r' and is defined as
[tex]a_n=a_1\cdot r^{n-1}[/tex]
[tex]\frac{18}{6}=3,\:\quad \frac{54}{18}=3,\:\quad \frac{162}{54}=3[/tex]
The ratio of all the adjacent terms is the same and equal to, so
r = 3
as
a₁ = 6
so substituting r = 3 and a₁ = 6 in the nth term of the sequence
[tex]a_n=a_1\cdot r^{n-1}[/tex]
[tex]a_n=6\cdot \:3^{n-1}[/tex]
Thus, the iterative rule for the sequence is
[tex]a_n=6\cdot \:3^{n-1}[/tex]a) The recursive rule for the sequence is [tex]a_n=3a_{n-1}[/tex]
b) The iterative rule for the sequence is [tex]a_n=2(3^n)[/tex]
The given sequence is:
6, 18, 54, 162, …
The common ratio, r = 18/6
r = 3
Let the last term be [tex]a_n[/tex]
Let the preceding term be [tex]a_{n-1}[/tex]
The recursive rule for the sequence is given as:
[tex]a_n=a_{n-1}r\\\\a_n=3a_{n-1}[/tex]
b) The iterative rule is gotten by using the formula:
[tex]a_n=ar^{n-1}[/tex]
Substitute a = 6 and r = 3 into the formula above
[tex]a_n=6(3)^{n-1}\\\\a_n=\frac{6}{3}(3^n )\\\\a_n=2(3^n)[/tex]
Learn more on sequence here: https://brainly.com/question/6561461
MULTIPLE CHOICE QUESTION
What is the COP of the table below?
X
Y
2
1
4.
2
6
3
8
4
K = 2/4
K = 4/2
K = 1/2
K = 2/1
Answers
Answer:
K = 2/1
Step-by-step explanation:
Constant of proportionality can be found using any two given pair of values.
Constant of proportionality = y/x
Therefore, using (1, 2) , we have
Constant of proportionality = y/x = 2/1 = 2
Or it can be written as: k = ²/1 = 2
Need help with algebra homework, and pls show me how u got the answers.
Answers
Answer:
mathaway
Step-by-step explanation:
you should use Mathaway it helps with algebra and shows step to step
Answer:
نرظ ثثؤ ٦8٨
Step-by-step explanation:
ظننتت تربية
PLEASE I NEED HELP AND I ONLY HAVE AN HR Question 2 (4 points)
(04.02)
Determine whether the graph represents a proportional relationship. (4 points)
A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 15. Four points are shown on the graph on ordered pairs 0, 2 and 1, 6 and 2, 10 and 3, 12. These points are joined by a line. The label on the x-axis is Number of cars. The title on the y-axis is Number of wheels.
a
Yes, it is a proportional relationship because the graph goes through the origin
b
Yes, it is a proportional relationship because the graph is a straight line
c
No, it is not a proportional relationship because the graph is not a straight line
d
No, it is not a proportional relationship because the graph does not go through the origin
Answers
------> The Answer Is C <------
Hope this helps have a good day :D
A local flower shop sells a dozen roses for $12.85. If there is an 8% sales tax, how much in TOTAL will you pay for the roses
Answers
Answer:
13.87
Step-by-step explanation:
Which expression is half as large as the expression 345+23?
Answers
Answer:
368:2= 184
................
Final Answer: [tex]184[/tex]
Steps/Reasons/Explanation:
We will need to divide [tex]345 + 23[/tex] by [tex]2[/tex] to get the expression that is half as large of the sum of [tex]345 + 23[/tex].
Question: Which expression is half as large as the expression [tex]345 + 23[/tex]?
[tex]\frac{345+23}{2}[/tex] = [tex]\frac{368}{2}[/tex] = [tex]184[/tex]
~I hope I helped you :)~
Use slope-intercept form, y= mx+b to find the equation of the line that passes through the points (-6,1) and (3,4).
Answers
a race car driver completes 30 laps in 15 minutes at a constant speed.
What's is the driver's speed?
Answers
Answer:
2 laps per second.
Step-by-step explanation:
30 divided by 15 equals 2. If you wanted to convert the speed into a more conventional unit you would multiply 2 by the length of a lap.
Please help me!!. Joe and his family are touring Chicago. They want to visit the Willis Tower, hang out at Navy Pier, and shop on Michigan Avenue before their dinner reservations at 5:10 P.M. They plan to spend 1 hour and 10 minutes at the Willis Tower, 3 hours and 10 minutes at Navy Pier, and 1 hour and 15 minutes shopping. What is the latest time Joe's family can start their tour of Chicago and still make it to dinner on time?
Include A.M. or P.M. in your answer.
Answers
Answer:
Step-by-step explanation:
Given that:
Dinner time =
which of the following does the extrema represent
A. A turning point of the function
B. The minimum value of a function
C. Either a maximum or a minimum value of a function
D. The maximum value of a function
Answers
Answer:
A
Step-by-step explanation:
Fill in table using this function rule y= -4x - 2
Answers
Answer:
Step-by-step explanation:
x y
-2 6
-1 2
0 -2
1 -6
2 -10
Jenna found out that 15% of the skittles were purple. if there were 60 skittles in the bag, how many were not purple?
Answers
nbbcbfbfbfbdbdbdbfbfbdbdbd
I need asap!!!brainliest for best answer
Answers
Answer:
D
Step-by-step explanation:
the answer is D ok so u see how she jsbdjdbd
help asap please help
Answers
Answer:
Answer:
The Prime Factorization is:
2 x 5 x 11
Step-by-step explanation:
Question 15 (1 point)
The surface area of a sphere varies directly with the square of its radius. A soap bubble with a
0.75 in. radius has a surface area of approximately 7.07 square inches. Find the value of k, and
then find the radius of a seventeenth-century cannonball that has a surface area of 113.1
square inches.
Answers
Answer:
The value of k is 12.57Radius of a seventeenth-century cannonball is 2.999 inches which can be rounded off to 3Step-by-step explanation:
Let s be the surface area and r be the radius
Then according to given statement
s∝r²
Removing the proportionality symbol introduces k, the constant of proportionality
[tex]s = kr^2[/tex]
Now
A soap bubble with a 0.75 in. radius has a surface area of approximately 7.07 square inches.
Putting in the equation
[tex]7.07 = k (0.75)^2\\7.07 = k * 0.5625\\k = \frac{7.07}{0.5625}\\k = 12.5688..\\k = 12.57[/tex]
The euqation beomes
[tex]s = 12.57r^2[/tex]
Putting s = 113.1 in the equation
[tex]113.1 = 12.57r^2\\r^2 = \frac{113.1}{12.57}\\r^2 = 8.99761...\\\sqrt{r^2} = \sqrt{8.9976..}\\r = 2.9996..[/tex]
Hence,
The value of k is 12.57Radius of a seventeenth-century cannonball is 2.999 inches which can be rounded off to 32x - 3y = 8
9y - 6x = - 2
Answers
Answer:
what?????????????????
Step-by-step explanation:
how do you want me to solve with a fraph or sometging else
Using the triangles shown below, explain how the ASA congruence criteria follows from the definition of congruence in terms of rigid motions.
Answers
Answer:
I have this question too
Step-by-step explanation:
All i know is that the ASA shows that even when they are rotated or translated due to rigid motions, they are still congruent because it shows that the angles and sides are equal.
Evaluate 32 divided by 1.6
show work
Answers
Answer:
20
Step-by-step explanation:
32/1.6= 20
How do you want me to show the work? Long division?
Answer:
20
Step-by-step explanation:
Idk how you want me to show the work, sorry. The formatting will be weird unless I attach a pic or something
Lin runs 5 laps around a track in 8 minutes. How many minutes per lap is that? Answer as a decimal.
Answers
Answer:
.625
Step-by-step explanation:
Answer:
1.6
8min divided by 5 equals 1.6 so 1.6min for each lap
11
Resel
A line passes through the points (2, 2) and (-4,-2). What is the equation in standard form of
the line?
A 2x - 3y = -2
B 2x - 3y = 2
C 2x + 3y = -2
D 2x + 3y = 2
Answers
Quinn is baking cookies for the bake sale at her school using her grandmother recipe. She uses 12.5 cups of flour to make 5 dozen cookies.
Find the constant of proportionality
Answers
Because 12.5 divided by 5 is equal to 2.5
for every dozen she makes she will use 2.5 cups of flour
|look what brainly did they got me a good grade in math thank you brainly I thank you so much love you all
Answers
Answer:
you welcome bih
Step-by-step explanation:
Answer:
Congrats
Step-by-step explanation:
I'm glad its helping.
what is the slope of the line that passes through the points (0,0) and (5,20)
Answers
Answer:
The slope is 4
Step-by-step explanation:
hope this helps!
A random Gaussian process x has a mean of 2.5 and variance of 0.36. Calculate the probability of the random variable having a value less than 3.
Answers
Answer: 0.79758
Step-by-step explanation:
Given that :
Mean (m) = 2.5
Variance = 0.36
Thw standard deviation = sqrt(variance) = sqrt(0.36) = 0.6
The probability of the random variable having a value less than 3 is obtained by:
P(x < 3)
Using the relation to obtain the standardized Zscore :
Z = (x - m) / s
Z = (3 - 2.5) / 0.6
Zscore = 0.8333333
p(Z < 0.833) = 0.79758 ( Z probability calculator)
Given functions f (x) and g (x), the x-coordinate of the point of intersection of two functions is a solution of the equation f (x) = g (x).
A. The statement is true because when you substitute the x-coordinate of the point of intersection in the equation f (x) = g(x), a false statement results.
B. The statement is false because when you substitute the x-coordinate of the point of intersection in the equation f (x)=g(x), a true statement results.
C. The statement is true because, when you substitute the x-coordinate of the point of intersection in the equation f (x) = g(x), a true statement results
D.The statement is false because when you substitute the x-coordinate of the point of intersection in the equation f (x) = g (x), a false statement results.
Answers
The answe is C.
Explenation:
I did the question and
Answer:
C. The statement is true because, when you substitute the x-coordinate of the point of intersection in the equation f (x) = g(x), a true statement results
There are 2 white beads for every 7 purple beads. There is a total of 8 white beads. How many purple beads are there?
Answers
Answer:
28
Step-by-step explanation:
help⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️⁉️
Answers
Answer: 2/1/3
Step-by-step explanation:
Find the slope of the line that passes through
points (7,-5) and (-1,-3).
a.) 4.
b.) 1/4
c.) -4
d.) -1/4
Answers
(-3+5)/(-1-7) = 2/-8 = -1/4
The answer is d) -1/4
What is the sum of ? × ? + ? =297
Answers
Answer:
145 x 2 + 7 = 297
- I hope this helps have a great night!
Answer:
297 is the sum.
99 x 3 + 0 = 297 or 58 x 5 + 7 = 297 are the solutions to the "?"
Step-by-step explanation:
Well, the sum of a number is the answer of something when doing addition, so technically, this is already revealed.
If you meant what numbers the question marks represent, then this could be a number of answers. However, the easiest solutions would be:
99 x 3 + 0 = 297 or 58 x 5 + 7 = 297
Hope this helps! :)
What is the volume of the rectangular prism?