The value of which of these expressions is closest to e?
A. (1+1/19)^19
B. (1+1/22)^22
C. (1+1/20)^20
D. (1+1/21)^21
Answers
Answer:
B.
Step-by-step explanation:
Given: expressions
To find: the expression whose value is closest to e
Solution:
Value of e is 2.718
[tex]\left ( 1+\frac{1}{19} \right )^{19}=\left ( \frac{20}{19} \right )^{19}=2.65\\\left ( 1+\frac{1}{22} \right )^{22}=\left ( \frac{23}{22} \right )^{22}=2.659\\\left ( 1+\frac{1}{20} \right )^{20}=\left ( \frac{21}{20} \right )^{20}=2.653\\\left ( 1+\frac{1}{21} \right )^{21}=\left ( \frac{22}{21} \right )^{21}=2.656[/tex]
Therefore, value 2.659 is closest to the value of e.
So, option B. is correct.
Answer:
B
Step-by-step explanation:
Related Questions
Apollo does 240 push-ups in 5 minutes. How many push-ups can Apollo do in 1 minute
Answers
Answer:
48
Step-by-step explanation:
240/5 = 48
Answer:
48 push ups in 1 minute
Step-by-step explanation:
We can use a ratio to solve
240 pushups
-----------------------
5 minutes
Divide each by 5
48 pushups
--------------------
1 minutes
Factor the expression below.
x2 - 6x + 9
A.
(x + 3)(x + 3)
B.
3(x2 - 2x + 3)
OC. (x-3)(x-3)
OD.
(x - 3)(x + 3)
HELP
Answers
This is a perfect square trinomial in the form a^2 - 2ab + b^2 = (a-b)^2. In this case, a = x and b = -3.
Another way you can look at it is to ask yourself "what two numbers multiply to 9 (last term) and add to -6 (middle coefficient)?". Those two numbers are -3 and -3
-3 plus -3 = -6
-3 times -3 = 9
So this is why x^2-6x+9 = (x-3)(x-3)
We can expand (x-3)(x-3) back out to get x^2-6x+9 again using the FOIL rule, distributive property, or the box method.
Answer:
C. (x-3)(x-3)
Step-by-step explanation:
x² - 6x + 9 = 0
x² - 3x - 3x + 9 = 0
x(x - 3) - 3(x - 3) = 0
(x - 3) (x - 3) = 0
Which 2 numbers have a least common multiple of 36?
Answers
Answer:
9 and 12,
Step-by-step explanation:
Answer:
nine and twelve (A)
Step-by-step explanation:
The Least Common Multiple of six and fifteen is thirty and the LCM of eight and eighteen is 72, this leaves only A which is correct.
making a sandwich with ham, turkey, or roast beef; swiss or provolone cheese; and mustard or mayonnaise. how many outcomes are there A. 14 C. 16 B. 12 D. 19
Answers
The answer is 12
Ham, swiss, mustard
Ham, swiss, mayonnaise
Ham, provolone, mustard
Ham, provolone, mayonnaise
Turkey, swiss, mustard
Turkey, swiss, mayonnaise
Turkey, provolone, mustard
Turkey, provolone, mayonnaise
Roast beef, swiss, mustard
Roast beef, swiss, mayonnaise
Roast beef, provolone, mustard
Roast beef, provolone, mayonnaise
Ami and Bert are drawing plans for rectangular vegetable gardens. In Ami's plan, the garden is 16 feet by 13 feet. In Bert's plan, the garden is 18 feet by 18 feet.
Select all true statement(s).
A The area of Bert’s garden is 116 square feet greater than Ami’s.
B The area of Ami’s garden is 208 square feet.
C The area of Bert’s garden is 72 square feet.
D Ami’s garden has a greater area than Bert’s garden.
Answers
Answer:
A and B
16 times 13=208
18 times 18=324
Subtract those and you get 116
Answer:
A and B
Step-by-step explanation:
A.) Area of Bert's garden : 324 - Area of Ami's garden 208= 116
B.) Ami's garden is 208 feet if you do 16 x 13
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The area of a wetland is 10,000 acres. A biologist predicts that the area of the wetland will change according to the equation y equals 10000 left-parenthesis 0.65 right-parenthesis Superscript x Baseline, where y is the area of the wetland after x years. Based on the biologist's prediction, what will the area of the wetland be in 2 years?
Answers
Answer:
4,225 acresStep-by-step explanation:
If a biologist predicts that the area of the wetland will change according to the equation [tex]y = 10,000(0.65)^{x}[/tex] where;
y is the area of the wetland after x years
In order to determine the area of the wetland in 2 years based on the biologist prediction, we will substitute the value of x = 2 into the modeled equation as shown;
[tex]y = 10,000(0.65)^{2}\\y = 10,000 * 0.4225\\y = 4225[/tex]
The area of the wetland in 2 years based on the biologist prediction will be 4225 acres
Answer:
4225
Step-by-step explanation:
a baseball game has a total of 9 inning. in each inning there are 2 teams that each have to make 3 outs in order for the inning to be complete
Answers
Listed are the distances traveled by four cars and the time it took each car to cover that distance. Identify which cars traveled at the same speed.
Car 1
350 miles
in 5 hours
Car 2
240 miles
in 4 hours
Car 3
320 miles
in 5 hours
Car 4
420 miles
in 6 hours
Answers
Answer:
Car 1 and Car 4
Step-by-step explanation:
Car 1-70mph
Car 2-60mph
Car 3-64mph
Car 4-70mph
So, its Car 1 and Car4
Write the following number in scientific notation:
0.0000487
Answers
Answer:
4.87 × 10-5
Step-by-step explanation:
Hopes this helps.
The answer is 4.87 x 10^-5
What is the sticker price for a vehicle with the following features and costs: suggested retail price of $13,760, destination charge of $475, equipped with AC, cruise control, and a custom sound system for $800, $235, and $490, respectively?
$15,760
$13,760
$13,370
$11,760
Answers
Answer:
15,760
Step-by-step explanation:
I just added all of them...
The sticker price we just need to add all the extras to the suggested retail price. The total sticker price would be $15,760.
What is addition?The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
To find the sticker price we just need to add all the extras to the suggested retail price:
suggested retail price $13,760
air conditioner $800
cruise control $235
custom sound system $490
destination charge $475
total sticker price = 13,760 + 800 + 235 + 490 + 475
= 15,760
The total sticker price would be $15,760.
The sticker price includes all the extras that the car dealer adds to the MSRP, and is generally the price of ready-to-sell cars.
Learn more about addition;
https://brainly.com/question/14092461
#SPJ2
What is the volume of the cone to the nearest cubic millimeter? (Use π = 3.14)
A) 52 mm3
B) 157 mm3
C) 209 mm3
D) 628 mm3
Answers
Answer:
209
Step-by-step explanation:
The volume of the cone, to the nearest cubic millimeters is: C. 209 mm³.
What is a Cone's Volume?Volume of a cone = 1/3πr²h
Where, r = radius of the cone, and h = height of the cone.
Given:
π = 3.14Radius (r) = 5 mmHeight (h) = 8 mmThus:
Volume of a cone = 1/3(3.14)(5²)(8)
Volume of a cone = 209 mm³
Thus, the volume of the cone, to the nearest cubic millimeters is: C. 209 mm³.
Learn more about volume of cone on:
https://brainly.com/question/14278632
Simplify the following expression
x^5/x^-2=x^n
A. 8
B. 2
C. 7
D. 10
Answers
Answer:
7
Step-by-step explanation:
x^5/x^-2=x^n
x^5=x^n×x^-2
x^5=x^-2+n
5=-2=n
n=7
this is 100% correct
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What is the lateral area of the rectangular prism
shown below?
a. 128 ft2
b. 135 ft2
c. 238 ft2
d. 504 ft2
Answers
PLEASEEEEEEEEEE HELP FAST... 50 POINTS
SOLVE FOR VOLUME
Answers
Answer:
Step-by-step explanation:
volume = height * are of the trapezoidal = 9 * (7+11)*4.5 / 2 = 364.5 m3
Answer:
364.5 m³
Step-by-step explanation:
Volume = base area × height
Base area: ½(7+11)×4.5
9×4.5
40.5 m²
Volume: 40.5 × 9
364.5 m³
A rectangular flower garden in Samantha's backyard has 100 feet around its edge. The width of the garden is 20 feet.
What is the length of the garden?
Answers
Answer:
Step-by-step explanation:
Total= 100 Ft
Width= 20
Length=?
Total - Width = Length
100 - 20 =
80 Length Of the Garden
What’s the answer to this???
Answers
Answer:
c
Step-by-step explanation:
can someone help me with this I do not understand it?
Answers
Answer:
So, the first one is not proportional and therefore has no multiplier.
You are right on the second on both counts!
Step-by-step explanation:
You just need to divide the x's by the y's (individually) in order to determine what they are multiplied by. And the answers you get for the first one will be 5, 6, and 7. Because the numbers are different, they are not proportional.
Please justify the answer
Answers
Answer:
The age of the car in years is the independent variable
The average miles is the dependent variable
Step-by-step explanation:
Typically, the age of the car will have an affect on the number of miles per gallon. However, the number of miles per gallon will not make it gain or lose more years, so the age is independent because it does not depend on another variable.
Hope this makes sense :)
Find the 40th term of this arithmetic sequence 4,9,14,19
Answers
Answer:
199
Step-by-step explanation:
I believe it's 199. The interval is just 5.
Answer:
the answer is going to be more than 11111111111119 (this is the 26th term)
Step-by-step explanation:
Which figures can be circumscribed by a circle? Select all that apply.
Answers
Answer:
Using the properties of inscribed quadrilateral (the sum of two opposite angles is 180 deg), we have
Option A, B, C are all correct (those figures can be circumscribed by a circle).
Hope this helps!
:)
What is the range for this data set?
37 years
9 years
41 years
Answers
Answer:
30 years
Step-by-step explanation:
41 minus 11=
Find the measure of x.
15(x+2)
X=-1
x = 7
X = 9
x=13
Answers
Answer:
x=7
Step-by-step explanation:
7+2 = 9. 9*15 = 135 degrees
4. Find the surface area of the space figure represented by the net.
A 75 cm
B 96 cm2
C 90 cm2
D 69 cm
Answers
AC =
Round your answer to the nearest hundredth.
40°
Answers
Find the area of the shape shown below.
Answers
Answer:
44.5
Step-by-step explanation:
(1 x 12) + (5 x 13)/2 = 44.5
Answer: 44,5 cm2
Step-by-step explanation:
Rektangel:
1 × 12 = 12 cm2
triangel:
13 × 5 = 65 cm2
78 ÷ 2 = 32,5 cm2
Area:
32,5 + 12 = 44,5 cm2
Which table of ordered pairs represents a proportional relationship?
Answers
Answer:
The first table
Step-by-step explanation:
Because both side -1 every time.
Answer: C
Step-by-step explanation:
It represents a proportional relationship because each time they add two
Question 25
.........................................................
Answers
Answer:
its c
Step-by-step explanation:
What I want you to do is think of yourself as a tourist who just landed in Nebraska. You've decided to take a road trip across the northwestern US (as presented in the states shown on the map) and you want to cross each state border exactly once. So for example, you want to make sure that you cross the border between SD-ND, SD-NE, SD-WY, SD-MT. You don't just want to visit South Dakota, but you want to cross all of the borders as well... but only once! You can visit each state as many times as you wish, but you can only cross each border once. Can you think of a way to cross ALL of the state borders in the map exactly once, while ending back where you started in Nebraska?
Answers
Answer: up, left, down, right
Step-by-step explanation:
because
2. The length of the side of a square is
represented by the expression 2a²b. Which
term represents the area of this square?
A. 8a3b
B. 4a3b
C. 4a4b2
D. 2a6b2
Answers
please answer this and please provide explanation since I need to explain in homework thank you I really appreciate it
Answers
Answer:
27648inches÷64inches=432 tiles
Step-by-step explanation:tiles cost 3456
