Answer:
75 m³
Step-by-step explanation:
From the question given, we obtained the following data:
For figure A:
Base length (Bₐ) = 2 m
Volume (Vₐ) = 30 m³
For figure B:
Base length (B₆) = 5m
Volume (V₆) =?
Since both shapes are similar, the volume of figure B can be obtained as follow:
Bₐ/B₆ = Vₐ/V₆
2/5 = 30/V₆
Cross multiply
2 × V₆ = 5 × 30
2 × V₆ = 150
Divide both side by 2
V₆ = 150 / 2
V₆ = 75 m³
Therefore, the volume of figure B is 75 m³
Write an explicit and a cursive equation for the geometric sequence
a. 2, 10, 50, 250, 1250, . . .
Answer:
Step-by-step explanation:
Explicit
a_n = a1 * r^(n - 1)
Find r by dividing term (n)/(n - 1)
r = 250 / 50
r = 5
a_n = a * r^(n - 1)
Recursive
a_n = a_(n-1)*r
Try an example
Find a_6
a_6 = 2 * 5^(6 - 1)
a_6 = 2 * 5^5
a_6 = 2 * 3125
a_6 = 6250
recursive
a_n = a_(n - 1)*r
r = 5
n = 6
a_n = 1250 * 5
a_n = 6250
The explicit method looks a whole lot easier, but not for a machine made by Dell and programed by Microsoft. A computer doesn't really mind doing a whole lot of calculations that are repetitive. And in many cases recursive is easier to program and is faster.
Answer:
explicit: a(n) = 2·5^(n-1)recursive: a(1) = 2; a(n) = a(n-1)×5Step-by-step explanation:
The given sequence is exponential with a first term of a1 = 2 and a common ratio of r = 10/2 = 5.
The explicit equation for an exponential sequence is ...
a(n) = a(1)×r^(n -1)
So, for the given parameters, the explicit equation is ...
a(n) = 2×5^(n -1)
__
The recursive equation for any series defines the next term as a function of previous terms. For a geometric sequence the next term is the previous term multiplied by the common ratio. For this sequence, the recursive definition is ...
a(1) = 2
a(n) = 5×a(n-1)
If two angles of a triangle are 75° and 40°, how many degrees is the third angle
Answer:65°
Step-by-step explanation:40+75+x=108X=65A car drives ninety-one miles on seven gallons of gas. How many miles does the car
travel per gallon?
Answer:
13
Step-by-step explanation:
Find the area of the figure.
7 cm
8 cm
11 cm
The area is
square centimeters.
Answer:
let's divide the figure in rectangle and triangle.
first we should find the area of triangle.
area of triangle =1/2×base×height
area of triangle=1/2×11cm×7cm
area of triangle=38.5cm²
area of rectangle =length ×width
area of rectangle =11cm×8cm
area of rectangle =88cm²
area of the figure=38.5cm²+88cm²
area of the figure=126.5cm²
At 12 p.m., the number of cars in a parking lot is 67. It is estimated that the number of cars in the parking lot will decrease by 8% each hour. Write a formula for the number of cars in the parking lot.
Answer:
An=67⋅0.92n
Step-by-step explanation:
The solution is, the formula found in the given question is ,
An=67. 0.92n.
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
given that,
At 12 p.m., the number of cars in a parking lot is 67.
It is estimated that the number of cars in the parking lot will decrease by 8% each hour.
so, we get,
Given,
at first the number of cars in a parking lot is = 67
now, it is decreasing by 8% each hour.
So, for any hours , let after 'n' hours,
the number will be = 67 * (100 - 8)%×n
=67 * 92%×n
= 67* 0.92n
Thus, The solution is, the formula found in the given question is ,
An=67. 0.92n.
To learn more on percentage click:
brainly.com/question/13450942
#SPJ3
Timothy Darling wants to buy a new car. He has been pricing a new car that has a base price of $18,905.00. He is interested in several options that total $4,125.50. The destination charge is $600.00. Find the sticker price
If you randomly choose a number between 1 and 25, what are the odds in favor of choosing an even number?
What are the odds against choosing a multiple of 5?
Answer and Step-by-step explanation:
12/25, and 5/25 or 1/5
There are 12 numbers that are even that are between the numbers 1 and 25.
There are 5 numbers that are a multiple of 5 (including 5) that are between the numbers 1 and 25.
#teamtrees #PAW (Plant And Water)
Write with numbers:
32
Four hundred sixty seven and
100
PLEASE HELPPPPPPPPPP
Answer:
b=5
Step-by-step explanation:
We are going to use the basics of algebra to solve thisWe need to isolate b by itself to find the value of b.
[tex]8b + 12 = 52[/tex]
Subtract 12 from both sides
[tex]8b = 40[/tex]
[tex]b = 5[/tex]
answer please.. need asap. algebra
!!!!!!Please help !!!!!!
About 61
About 41
About 29
About 56
Answer:
Your answer is about 41
Step-by-step explanation:
From looking at where the dots are placed, I made my line of best fit allowing for me to choose the closest answer, this your answer is B
Hope this Helps, Have a Splendid Day, And Your Welcome!!!
Please help! Thank you, Picture down Below!
Answer:
A.24
Step-by-step explanation:
that is the.value of x
Answer:
(5x + 15)⁰+ (3x - 3⁰) = 180⁰ ( same side on interior angle theorm)
(8x + 12)⁰= 180⁰
8x = 168⁰
x = 21
Hope it helps u
A woman wishes to rent a house within 9 miles of her work. If she lives x miles from her work, her transportation cost will be cx dollars per year, while her rent will be 4c/( x + 1) dollars per year, where c is a constant taking various situational factors into account. How far should she live from work to minimize her combined expenses for rent and transportation? Use the methods outlined in this section to find the minimum.
Answer:
the woman has to live 1 mile from work to minimize the expenses
Step-by-step explanation:
Given the data in the question;
the distance within 9 miles ⇒ 0 < x > 9
Total costs Q = cx + 4c/( x + 1)
costs should be minimum ⇒ dQ/dx = 0
⇒ d/dx [ cx + 4c/( x + 1) ] = 0
⇒ ( x + 1)² = 4
take square root of both side
√[ ( x + 1)² ] = √4
x + 1 = 2
x = 2 - 1
x = 1
Therefore, the woman has to live 1 mile from work to minimize the expenses
1. The rules for adding and subtracting rational expressions are the same as
the rules for adding and subtracting numerical fractions. *
True
False
What is the volume of this prism?
23.9
47.7
9.0
4.5
What is y=2x-3 y=-3/4x-1/4 with work shown please help
PLEASE HELP ME!!!! PLEASE
The number of unique page views on a website is measured each day. The daily views are expressed in the table using scientific notation.
Sunday: 3.4 x 10^3
Monday: 5.37 x 10^4
Tuesday: 1.2 x 10^4
Wednesday: 9.623 x 10^3
Thursday: 2.79 x 10^4
Friday: 6.821 x 10^4
Saturday: 7.954 x 10^3
The number of views on the day with the most views is how many times as great as the number of views on the day with the fewest views?
A.) 5
B.) 8
C.) 10
D.) 20
E.) 34
Last year, 20% of all claims were for weather-related damage (excluding floods), with an average weather-related damage claim being $6,500. What is the expected value (loss or gain) per weather-related claim to Acasa for every customer who chooses plan B?
-$1,380
-$180
$100
$1,180
Acasa Insurance Company offers several plans for home insurance.
Plan A has a $700 yearly premium with a $3,000 deductible.
Plan B has a $1,200 yearly premium with a $1,000 deductible.
Answer:
100
Step-by-step explanation:
i got it right on the test !!
A rectangular rug measures 9 feet by 6 feet. The rug has two nooverlapping yellow circles that each have a diameter of 3 feet. The part of the rug not covered by the circles is blue. What percentage of the rug is blue
Answer:
54%
Step-by-step explanation:
Answer:
Step-by-step explanation:
oh u do ?
Alaina evaluated 17/18+1/20 and got an answer of 18/38. Which statement is true about her answer?
1. Her answer is not correct because when you add fractions, the sum is always greater than 1.
2. Her answer is correct because all the fractions are less than 1.
3. Her answer is not correct because the sum cannot be less than either addend.
4. Her answer is correct because 17+1=18 and 18+20=38.
Answer:
I think it's 3. cuz 17 cannot be divided by 18
Find the unknown length x in the right triangle, to the nearest tenth.
Answer:
x = 13.5
Step-by-step explanation:
sin 40 = x/21
0.6428 = x/21
x = 13.5
There are 42 different types of ice cream at the grocery store the probability that ice cream selected at random has chocolate in it is 2/7. How many of ice cream options to the grocery store do not have chocolate?
Answer:
Step-by-step explanation:
42-42(2/7)
42-12
30
There are 30 options with no chocolate.
Please help with this
Answer: The answer is the first choice that states “ASA”.
Step-by-step explanation: ASA means angle, side, angle. From T - Q in triangle STQ it goes from angle, side, angle. From P - M in triangle NPM it also goes from angle, side, angle.
Thursday night Sami spent 3/8 hour practicing the piano and Jordyn spent 7/8 hour practicing the trumpet. How much more time did Jordyn spend practicing than Sami
Answer:
1/2 more time than the length Sami did.
Step-by-step explanation:
7/8 - 3/8 = 4/8 = 1/2
I need help with this
Find the value of x so that FED ~ZYZ
need help asap
Answer:
x=7.5
Step-by-step explanation:
To show that the triangles are similar, we simply need to show that all sides are proportionate.
So, we create a proportion
[tex]\frac{FE}{ZY} =\frac{ED}{XY} = \frac{FD}{XZ}[/tex]
Then we plug in the values
[tex]\frac{6}{12} = \frac{7}{14} = \frac{2x-5}{22}[/tex]
[tex]\frac{6}{12}[/tex] and [tex]\frac{7}{14}[/tex] can be simplified to [tex]\frac{1}{2}[/tex], so that is our ratio of similarity
then we know
[tex]\frac{1}{2} = \frac{2x-5}{22}[/tex]
Now solve
1. Cross multiply
2×(2x-5) = 22
2. Distribute
4x-8 = 22
4x=30
x=7.5
There is your answer, x=7.5
Hope this helped.
what area of this face? 10in 4in 2in 2in 2in
Answer: Its 28 in.^2
Step-by-step explanation: Just did it on I ready
The area of this face is,
⇒ 28 in²
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
This face made by three rectangles.
Now,
The area of small rectangle = 4 × 2 = 8 in²
And, The area of large rectangle = 6 × 2 = 12 in²
Hence, The area of this face is,
⇒ 8 + 12 + 12
⇒ 28 in²
Thus, The area of this face is,
⇒ 28 in²
Learn more about the rectangle visit:
https://brainly.com/question/2607596
#SPJ3
Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that n begins with 1.) 1, − 1/ 3 , 1 /9 , − 1 /27 , 1 /81 , . . .
9514 1404 393
Answer:
a[n] = (-1/3)^(n -1)
Step-by-step explanation:
The terms have a common ratio of (-1/3)/(1) = -1/3. The general term for a geometric sequence with first term a1 and common ratio r is ...
a[n] = a[1]×r^(n-1)
Here, a[1] = 1, so this is ...
a[n] = (-1/3)^(n-1)
Identify the parent function of each:
A) Linear Function _______________________________
B) Absolute Value Function ________________________________
C) Quadratic Function ______________________
need answers ASAP pls
Answer:
I think its B.) not completely sure but i think so !!!!:)
Find the area of the irregular polygon 4ft and 12ft and 8ft
Answer:
I think it is 24
Step-by-step explanation: