Answer:
1
Step-by-step explanation:
9^4 = 6561
9^-4 = 1/6561
6561/6561 = 1
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
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:
What is the volume of the right rectangular prism, in cubic centimeters? A prism has a length of 4 centimeters, height of 9 centimeters, and width of 3 centimeters. cubic centimeters
The volume of the given rectangular prism is 108 cubic centimeters.
What is a rectangular prism?A rectangular prism is a three-dimensional solid shape with six faces that including rectangular bases. A cuboid is also a rectangular prism. The cross-section of a cuboid and a rectangular prism is the same. Volume of a rectangular prism = Area of a base × Height.
Given that, a prism has a length of 4 centimeters, height of 9 centimeters, and width of 3 centimeters.
We know that, the volume of a rectangular prism = Length×Breadth×Height
= 4×3×9
= 108 cubic centimeters
Therefore, the volume of the given rectangular prism is 108 cubic centimeters.
To learn more about the rectangular prism visit:
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In which type of triangle is the orthcenter on the perimeter of the triangle
Answer:
Right Triangle
Step-by-step explanation:
All altitudes meet on the right angle vertex.
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
This is like a stupid question I know how to do it but I just can’t so could someone help
Answer:
-6.7, -28/5, 8.2, 17/2
Step-by-step explanation:
Divide the fractions to turn them into decimals, then organize from least to greatest!
Answer:
The second one
Step-by-step explanation:
Divide 17 by 2 = 8.5
Divide -28 by 5 = -5.6
Therefore:
-28/5, -6.7, 8.2, 17/2
Hope this helps!
Find the decimal equivalent to 415.
0.26
0.2ModifyingAbove 6 with bar
ModifyingAbove2.6 with bar
ModifyingAbove2.6 with bar
Answer:
[tex](B)0.2\overline{6}[/tex] (0.2ModifyingAbove 6 with bar)
Step-by-step explanation:
We want to find the decimal equivalent of 4/15.
[tex]\dfrac{4}{15}=0.266666666.....[/tex]
Since the number 6 recurs/repeats indefinitely, we write the recurring decimal as:
[tex]0.266666666.....=0.2\overline{6}\\$Therefore:\\4/15=0.2\overline{6}[/tex]
The correct option is B.
Answer:
i got you bro the answer is 0.26 with a line on top of the 6
math help pls, thank you
Answer:
D. A minimum
Step-by-step explanation:
Point F is lower than the points nearby, both to the left and the right. Therefore it is a local minimum.
Help meh................
....
Answer:
71-45 is 26
Step-by-step explanation:
Answer:
71-45 = 26
Step-by-step explanation:
Which decimal is equivalent to
-35?
Answer:
-35.0
Step-by-step explanation:
Answer:
-.35
Step-by-step explanation:
The quantities xxx and yyy are proportional. xxx yyy 5.85.85, point, 8 5.85.85, point, 8 7.57.57, point, 5 7.57.57, point, 5 11.211.211, point, 2 11.211.211, point, 2 Find the constant of proportionality (r)(r)left parenthesis, r, right parenthesis in the equation y=rxy=rxy, equals, r, x. r =r=r, equals
Question:
The quantities x and y are proportional.
x y
5.8 7.5
11.2
Find the constant of proportionality (r) in the equation y=rx
Answer:
The constant of proportionality is 75/58 or 1.29
Step-by-step explanation:
Given
The table above
Required
Find the constant of proportionality
The question has an incomplete table but it can still be solved because x and y are proportional.
Given that
y = rx
Make r the subject of formula
Divide through by x
y/x = rx
y/x = r
r = y/x
When y = 7.5, x = 5.8
Substitute these values
r = y/x becomes
r = 7.5/5.8
Multiply denominator and numerator by 10
r = (7.5 * 10)/(5.8 * 10)
r = 75/58
In this case, it's best to leave the answer in fraction.
However, it can be solved further.
r = 75/58
r = 1.29 (Approximated)
Hence, the constant of proportionality is 75/58 or 1.29
Answer:
the correct answer is 1
hope this helps :D
The sides of a rectangle are in the ratio 3.2. What is the lengi
of each side if the perimeter of the rectangle is 55 cm?
Answer:
11 and 16.5
Step-by-step explanation:
3x : 2x = length: width
55 = (3 + 2)(2)x -->
55 = 10x -->
5.5 = x -->
11 and 16.5 = width, length
Answer:
16.5
Step-by-step explanation:
What is the measurement for the diameter of a circle with a circumference of 88 ft?
Use 3.14 for Pi. Round your answer to the nearest foot.
Answer: 617 ft.
Step-by-step explanation: So first, the formula is A=C²/ 4π, knowing this, let's just plug in our numbers
A = C² / 4 · π
A = 88² / 4 · 3.14
A = 7744 / 4 · 3.14
A = 7744 / 12.56
A = 7744 / 12.56
A = 616.56
A ≈ 617
Hope this helps :)
Identify the following data set: ....a manager of a movie theater was asking customers at the concession stand how they would rate the theater's staff.
Population
Sample
1. Sample
2. Population
3. Parameter
4. Statistic
If a radius is 20, what is the diameter? (Remember d=2r)
Answer:
40
Step-by-step explanation:
20(2)=40
Answer:
40
Step-by-step explanation:
d=2r
=2(20)
=40
Imagine there are two chambers. Chamber P is filled with air while Chamber Q has no air in it (a vacuum). If a leaf and a brick are dropped from the top of each chamber at the same time, where will they hit the ground at the same time?
A.in both chambers
B.in chamber P only
C.in chamber Q only
D.in neither chamber
Answer:A.in both chambers
Step-by-step explanation:
Look up the test on the moon.
and the test on Netflix
URGENT Gabe is driving toward San Francisco at a speed of 48 mph. If his dad left an hour later at a speed of 72 mph, how long will it take for Dae’s dad to catch up?
Answer:
2 hours
Step-by-step explanation:
48=72t-48t
48= (72-48) x t
48=24t
neeeed helpp!!!! thank you
Answer:
1: 12d
2: m^-2 n^3
Step-by-step explanation:
For problem 1, you subtract all of the exponent(s) for 4d^4 by adding -4 and 4 together to create zero, thus removing the exponent(s), then you multiply 3×4 and get 12d.
For problem 2, you just put m^-2 and n^3 together. You cannot combine the exponents or variables, so it would just look like m^-2 n^3
The ^ before a number means that it is an exponent.
The area of a square is 25 square inches. What is the perimeter of the square?
Answer:
25 square root is 5 so the missing sides is 5.
5+5=10 x 2 = 20
perimeter is 20
Hope this helps
Step-by-step explanation:
The perimeter of the given square is 20 inches.
What is the perimeter of the square?The perimeter of a square is defined as the addition of the lengths of the square.
The perimeter of a square = 4a
Where a is the length of the side of the square
Given that the area of the square is 25 square inches.
Let a is the length of the side of the square
The area of the square = a² = 25
So a = 5
Since all sides of a square are equal, we can calculate the perimeter by multiplying the length of one side by 4:
The perimeter of a square = 4a
The perimeter of a square = 4(5)
The perimeter of a square = 20 inches
Therefore, the perimeter of the square is 20 inches.
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Taylor is buying shares of stock that cost 8 dollars each. How many shares can he buy if he can spend no more than 250 dollars?
1
1
Jump ropes are given out during gym class. A student has a chance of getting a red jump rope and a
3
chance of getting a green jump rope. Meg is given a jump rope.
2
What is the probability that Meg gets a red or green jump rope?
The probability that Meg gets a red or green jump rope is
Answer:
2/2
Step-by-step explanation:
There are only red and green jump ropes so she is for sure going to get a red or green jump rope. If she wants specifically a red or green jump rope her chances are 1/2.
SOS need help
The cost (c), in dollars, charged by a car rental agency is calculated using the equation c=12+0.29m, where m represents the distance traveled in miles
A 56
B 153
C 194
D 206
E 236
Answer:
E= 236
Step-by-step explanation:
If C is 56.37, then m= 236
Answer:
236
Step-by-step explanation:
Which of the following could represent the scale factor of the larger figure to the smaller figure?
15.9
5:3
3:2
21:14
2:3
20:30
Answer:
3:2 and 21:14
Step-by-step explanation:
The same side on the larger and smaller cylinders is 30 and 20 respectively or 18 to 12
Simplify:
30:20 => 3:2
18:12 => 3:2
Therefore, the answer is 3:2
However, in addition you can multiply 3 by 7 to get 21 and 2 by 7 to get 14, so 21:14 also works
Which are perfect squares? Check all that apply.
A) 9
B) 24
C) 16
D) 200
E) 169
F) 625
Answer:
A
Step-by-step explanation:
Answer:
A. 9
C. 16
E. 169
F. 625
Step-by-step explanation:
Find the equivalent expression.
2^2
Answer:
4
Step-by-step explanation:
2 times by itself would make 4
Hope this helps
God loves you
The distances (y), in miles, of two cars from their starting points at certain times (x), in hours, are shown by the equations below:
PPLLLZZZ HEEELPP WILL MARKK BRAINLESTTT!!!! PLEASE HURRY
Car A
y = 55x + 32
Car B
y = 42x + 58
After how many hours will the two cars be at the same distance from their starting point and what will that distance be?
2 hours, 142 miles
2 hours, 145 miles
3 hours, 142 miles
3 hours, 145 miles
Answer:
2 hours, 142 miles
Step-by-step explanation:
Given;
equation of motion of car A as;
y = 55x + 32
equation of motion of car B as;
y = 42x + 58
where;
y is distance measured in miles
x is time measured in hours
When the distance of the two cars are equal, we will have the following equation;
55x + 32 = 42x + 58
collect like terms and solve for x
55x - 42x = 58 - 32
13x = 26
x = 26 /13
x = 2 hours ( x is time measured in hours)
Now substitute in the value of x into any equation of the cars;
y = 55x + 32
y = 55 (2) + 32
y = 110 + 32
y = 142 miles ( y is distance measured in miles)
Thus, the correct option is 2 hours, 142 miles
f(x)= 20 + 12(x - 2)
Answer:
f(x) = 12x - 4
Step-by-step explanation:
f(x)= 20 + 12(x - 2)
Distribute
f(x) =20 +12x - 24
Combine like terms
f(x) = 12x+20-24
f(x) = 12x - 4
Answer:
y=12x-6
Step-by-step explanation:
y=20+12x-24
y=12x-4
round 37358 to the nearest hundreds
Answer:
37400
Step-by-step explanation:
just cause.
Answer:
37400
Step-by-step explanation:
Find the hundreds place. 37358Look at the number before it. 37358If the number is 5 or more, round the hundreds place up one.if the number is 4 or less, keep is the same.3x-9y=9 -3x+4y=14 (1,-3) (6,1) (1,-8)
An amusement park has 18 attractions, including 8 arcades.
What is the probability that a randomly selected attraction at this amusement park will be an arcade
Answer:
8/18
Step-by-step explanation:
8 out of 18 attractions at the park are arcades, as stated.
hope this helps!
Two containers designed to hold water are side by side, both in the shape of a cylinder. Container A has a diameter of 26 feet and a height of 14 feet. Container B has a diameter of 18 feet and a height of 15 feet. Container A is full of water and the water is pumped into Container B until Conainter B is completely full. After the pumping is complete, what is the volume of the empty space inside Container A
Answer:
First, let's work out the V of container A and B
V_A = pi x (diameter/2)^2 x height = pi x (26/2)^2 x 14 = 2366 pi (ft3)
V_B = pi x (diameter/2)^2 x height = pi x (18/2)^2 x 15 = 1215 pi (ft3)
After pumping water from container A to container B until B is full:
The empty space inside container A would be:
V_empty = V_A - V_B = 2366 pi (ft3) - 1215 pi (ft3) = 1151 pi (ft3) = ~3615.97 (ft3)
Answer:
3,815.1 feet³
Step-by-step explanation:
Volume filled in B = Volume emptied from A
pi × r² × h
3.14 × (18/2)² × 15
3815.1 feet³
The regional manager of a chain of department stores created the following stem and leaf plot showing the number of pairs of glasses at each of the stores how many department stores have exactly 37 pairs of glasses
Answer:
The stem and leaf plot is not shown, so I will answer the question in a general way.
Suppose you have the following stem and leaf plot
I 2 I 0 5 8
I 3 I 4 4 7 8
I 4 I 0
Then, the data is: 20, 25, 28, 34, 34, 37, 38, 40. In consequence, one department stores has exactly 37 pairs of glasses. But if your stem and leaf plot is:
I 2 I 0 5 8
I 3 I 7 7 7 8
I 4 I 0
then, three department stores have 37 pairs of glasses, and none of them have 34 pairs of glasses.
