Answer:
9
Step-by-step explanation:
Let the two perfect cubes be x and y where x > y.
According to the given conditions:
[tex] {x}^{3} - {y}^{3} = 386...(1) \\ y = 7...(2) \\ plug \: y = 7 \: in \: equation \: (1) \\ {x}^{3} - {7}^{3} = 386 \\ {x}^{3} - 343 = 386 \\ {x}^{3} = 343 + 386 \\ {x}^{3} = 343 + 386 \\ {x}^{3} = 729 \\ x = \sqrt[3]{729} \\ x = 9[/tex]
Thus the cube root of the larger number is 9.
Building and solving an equation, it is found that the cube root of the larger number is 9.
-------------------------
Examples of perfect cubes are 1, as [tex]1^3 = 1[/tex], 8, as [tex]2^3 = 8[/tex], 27, as [tex]3^3 = 27[/tex], and so on...We do not know the numbers, so they are called [tex]x^3[/tex] and [tex]y^3[/tex].Since the difference is 386, we have that:[tex]x^3 - y^3 = 386[/tex]
The cube root of the smaller number is 7, thus, [tex]y = 7[/tex], and now, it is possible to solve for x, and find the cube root of the larger number.[tex]x^3 - y^3 = 386[/tex]
[tex]x^3 - 7^3 = 386[/tex]
[tex]x^3 - 343 = 386[/tex]
[tex]x^3 = 386 + 343[/tex]
[tex]x^3 = 729[/tex]
[tex]x = \sqrt[3]{729}[/tex]
[tex]x = 9[/tex]
Thus, the cube root of the larger number is 9.
A similar problem is given at https://brainly.com/question/13161078
Find the 7th term in the sequence: 1/3, 1, 3, 9, . . .
Answer:
243
Step-by-step explanation:
1. 1/3 * 3 = 1
2. 1 * 3 = 3'
3. 3*3 = 9
4. 9*3= 27
5. 27*3 = 81
6. 81*3 = 243
7. 243
Hope this helps!
The required 7th term in the given geometric sequence would be 243.
What is geometric series?The geometric series defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.
The sequence given in the question follows as:
1/3, 1, 3, 9, . . .
This sequence follows the pattern of a geometric progression, where each term is obtained by multiplying the previous term by a fixed number, called the common ratio.
The common ratio for this sequence is 3.
To find the nth term in a geometric progression, you can use the formula:
aₙ = arⁿ⁻¹
Where a is the first term, r is the common ratio
Plugging in the values for this sequence, we have:
[tex]a_7 = 1/3 \times 3^(7-1) = 1/3 \times 3^6[/tex]
= 1/3 x 729 = 729/3 = 243
Therefore, the 7th term in the sequence is 243.
Learn more about geometric series here:
brainly.com/question/21087466
#SPJ2
Use the graph to answer the question.
The line graph shows tuition amounts for a university for the years 1996 through 1999. Which of the
following is a valid claim based on the graph?
A Tuition rates have increased faster than inflation.
O
B. The tuition has increased steadily over this time span.
O
C. Tuition increased twice as much from 1997 to 1998 as it did from 1996 to 1997.
D. The rate of tuition inflation will decrease in the next 5 years.
Answer:
B.
Step-by-step explanation:
hope it helps :)
barbara spent 3,825 for care of her pets last year.sam spent 2,450 last year how much more then sam di then barbara
Answer:
1,325
Step-by-step explanation:
subtract the smaller number from the biggest.
3825-2450=1375
Which graph represents a function?
Answer:
the last one
Step-by-step explanation:
use the horizontal line test to find out if its a function
for more information Google horizontal line test
hope this helps :)
Answer:
The last option (The line going straight left to right)
Step-by-step explanation:
For a graph to represent a function, the line must pass the vertical line test.
I've attached an image to look at how the vertical line test works.
Malcom is filling bags with rice . He starts with a 5 1/4 pound container of rice and fills each bag with 5/8 pounds of rice . How many bags of rice can Malcolm fill?
Answer:
8 bags but 8.4 to be exact but its still 8 bags
Step-by-step explanation:
5 1/4 div 5/8= 21/4 div 5/8=21/4 times 8/5= 42/5=8.4 bags
What is the domain and range? (Answer needs to use inequalities.)
Answer:
Domain: [-3,5]
Range: [5,3]
Helppp me!!!!
At least try.
13 points
Which transformation can be applied to the blue figure to create the red figure? Photo above
A diver was exploring the ocean. The diver dove 32 ft. below sea level. Then dove another 45 ft. At what depth was the diver?
Step-by-step explanation:
add 32 ans 45 together thats your answer
Answer:
-77
Step-by-step explanation:
-32+-45=-77
I hope I helped you ;)
Solve this inequality: 4.2x+5.6<7.2-8.3x please give the steps.
Answer:
[tex]x<\frac{16}{125}[/tex]
Step-by-step explanation:
First we will multiply everything by 10 to get rid of the decimals.
[tex]4.2x*10+5.6*10<7.2*10-8.3x*10\\42x+56<72-83x[/tex]
Subtract 56 from both sides:
[tex]42x+56-56<72-83x-56\\42x<-83x+16[/tex]
Add 83x to both sides:
[tex]42x+83x<-83x+16+83x\\125x<16[/tex]
Divide both sides by 125:
[tex]\frac{125x}{125}<\frac{16}{125}\\x<\frac{16}{125}[/tex]
Answer:
I'm terrible at explaining things but here's a screenshot
- Ripper
Step-by-step explanation:
{3, 5, 7, 9, 11)
Determine the mean and the mean absolute deviation (MAD).
(PLEASE HELPPP!!!!!!)
Answer:
Mean Absolute Deviation = 2.4
Step-by-step explanation:
Find you have to find the mean (average):
3 + 5 + 7 + 9 + 11 = 35
35 / 5 = 7
Mean = 7
The mean absolute deviation is the mean (average) of the distance from the other numbers (absolute means that if the number is negative it turns into a positive):
3 - 7 = 4
5 - 7 = 2
7 - 7 = 0
9 - 7 = 2
11 - 7 = 4
Now we have to find the mean of this numbers:
4 + 2 + 0 + 2 + 4 = 12
12 / 5 = 2.4
Mean Absolute Deviation = 2.4
Answer:
2.4
Step-by-step explanation:
Hope I helped :)
Mr. Hernandez has 41 feet of rope to enclose a pentagonal grazing area for his sheep. Sides of the pen are represented by: x, 7 - 5x, 3x - 2, 3x + 4, 5-3x. Which inequality could be used to find the possible perimeters of the grazing area?
Answer:
Option (B)
Step-by-step explanation:
Length of the rope Mr Hernandez has = 41 feet
He wants to enclose an area in the shape of a pentagon.
Therefore, minimum length of the rope required = perimeter of the pen
Perimeter of the pentagonal pen = Sum of the measures of all five sides of the pen
Perimeter = x + (7 - 5x) + (3x - 2) + (3x + 4) + (5 - 3x)
= (-x + 14)
Now the length of the rope should be more than and equal to the perimeter of the pen to cover.
41 ≥ (-x + 14)
Or
-x + 14 ≤ 41
Therefore, Option (B) will be the answer.
Ashley's parents pay her for grades on her report card. They pay $10.00 for each A, $5.00 for each B, and $1.00 for each C. Ashley does not earn money for any grade lower than a C. If she made 4 A's, 3 B's, and 1 C on her latest report card, how much money did she earn?
Answer:
$56
Step-by-step explanation:
4(10)+3(5)+1(1)
40+15+1 = 56
The sum of 8X and 3X
Answer:
8x + 3x=11x
Explain:
Every time you see the word sum, you add
Write an addition expression to describe the situation. Then find the sum and select the correct answer below. A hiker starts at 200 ft. above sea level and then hikes up the mountain 1,500 more feet. When coming down the other side of the mountain, she descends 500 before taking a ten-minute break. How high above sea level is she during this ten-minute break?
A 1,700 ft. B1,000 ft. C1,200 ft. D1,190 ft.
Answer:
(200+1,500) - 500 = 1,200 ft
Step-by-step explanation:
the hiker started at 200 ft then went 1500 more feet. (add it up) Then, she descends (goes down) 500 feet. So let's subtract 500 feet from the sum of 200 and 1500. ( (200+1500 equals 1700, then subtract 500 which will be 1200.) ) So, she is 1200 feet above sea level during the 10 minute break.
♡ Hope it helps♡
The equation r = 3c + 5 represents the values shown in the table below.
c
6
8
12
18
r
23
29
?
59
What is the missing value in the table?
12
35
41
44
Answer:
49
Step-by-step explanation:
c
6
8
12
18
r
23
29
"49"
58
Answer:
41
Step-by-step explanation:
multiply the c value (12) by 3 and add 5
The number 9 is a whole number but not an integer
Answer:
9 is both a whole number and an integer.
Step-by-step explanation:
The number 9 is a whole number and an integer as well
is 9.465 an irrational number
Answer:
yes is a 9.465 an irrational number
Step-by-step explanation:
Zoey walks 3 blocks East and then 4 blocks North. If each block is 100 ft, how many feet is Zoey from her starting point?
Answer:
700
Step-by-step explanation:
can you help me find the area of the circle
Answer:
29.26 [tex]units^{2}[/tex]
Step-by-step explanation:
Area of a circle = [tex]\pi r^{2}[/tex]
Area of a circle = 3.14 * 3 * 3 ( so i used pi as 3.14 ) then the radius is 3
Area of a circle = 9.42 * 3 ( first 3.14 times 3 is 9.42)
Area of a circle = 28.26 ( 9.42 times 3 is 28.26)
HOPE THIS HELPED
2/3 converted to a decimal then to percent
Answer:
0.66666667 then 66.66%
Step-by-step explanation:
Step-by-step explanation:
Check the above photos
PLEASE HELP ME ASAP!! I really need help! Thank you
Answer:
add them all and put them equal to 180 cause all interiors angles of a triangle adds up to 180.
Step-by-step explanation:
x^2+6x+68=180
x^2+6x-112=0
(x-8)(x+14)
x=8
x^2+1=65
2x+24=40
4x+43=75
hence x^2+1 is your answer
whats the mean of -54 -32 -70 -25 -65 and -42 please help need the answer for a math quiz?!
Step-by-step explanation:
To find the mean, you add all the numbers and divide by how many there are.
In this case, you add -54,-32,-70,-25,-65, and -42. Then you divide by 6 because there are 6 numbers.
When you add them all, you get -288.
Now divide.
-288/6=-48
Hope it helps!
Answer:
-48
so you add all the numbers together, which will give you -288
there are 6 terms, so you divide -288 by 6
gives you your answer of -48
Help 10 points 30 minutes to answer
Answer:
The first answer choice.
Answer choice A.
Step-by-step explanation:
The domain of a function would be the set of all possible x-values of that function.
Since we are looking for the domain, the set of the possible x-values, we can eliminate any answer choices that are a set of y-values. B and D are eliminated.
From what we can see in the table, the possible x-values of the function are -6, -1, 0 and 3. Although C does include these values in the set, it also includes many other values. As we can see, answer choice A includes the x-values given in the table and only those values. Therefore, answer choice A is the correct answer.
I hope you find my answer and explanation helpful. Happy studying.
combine like terms:
x - 3y^3 + 3x^3 - 5x - x^3 - x - 2x^3
Hey there!
[tex]Answer: \boxed{-3y^3-5x}[/tex]
[tex]Explanation:[/tex]
Combine like terms.
[tex]\boxed{-3y^3-5x}}\text{ is your answer.}[/tex]
Hope this helps!
[tex]\text{-TestedHyperr}[/tex]
Answer:
[tex]-3y^3-5x\\[/tex]
Step-by-step explanation:
[tex]x-3y^3+3x^3-5x-x^3-x-2x^3\\[/tex]
rewriting will help combine like terms effectively
[tex]-2x^3+3x^3-x^3-3y^3+x-x-5x[/tex]
Now combine like terms
[tex]-3y^3-5x[/tex]
The Hartman family is saving $400 monthly for Ronald's college education. The family anticipates they will need to
contribute $20,000 toward his first year of college, which is in 4 years. Which best explains whether the family will
have enough money in 4 years?
O The family will not have enough money. They will have saved only $16,000.
O The family will not have enough money. They will have saved only $19,200.
O The family will likely have enough money. They will have saved $16,000 and have accumulated interest.
The family will likely have enough money. They will have saved $19,200 and have accumulated interest.
Answer:
D. The family will likely have enough money. They will have saved $19,200 and have accumulated interest.
Step-by-step explanation:
Got 100% on edge.
Round to the nearest hundredth 0.994
Answer:
0.99
Step-by-step explanation:
Which integer in the set has the greatest value (7, -7, -3, 3)?
OA) -7
OB) -3
O C) 3
OD) 7
Answer 7
Step-by-step explanation:
7 will be the greatest value.
Correct option is (D).
What is a Set?The definition of a set in mathematics is a group of things whose components are unchangeable and fixed. In other words, a set is accurately described as a group of data that does not pass from one person to another. The items can be written in any sequence, but they cannot be repeated in the set. Capital letters are used to denote the set.
Several other kinds of sets include the infinite set, the finite set, the equivalent set, the subset, the universal set, and the superset. Each kind of set has a different place in calculations. Sets are essentially used to represent large amounts of data and collections of data in everyday life. Thus, in this article, we'll learn about and talk about the universal set.
As per the given data:
The integer set is {7, -7, -3, 3}
For the greatest value, arranging the set in ascending order:
{-7, -3, 3, 7}
The greatest value will be 7.
To learn more on Set, click:
brainly.com/question/8053622
#SPJ7
Brainliest question!!!AABC transforms to produce AAB C. Which transformation did NOT take place???
Hey there!! Glad I can help!!!
Answer:
Dilation
Step-by-step explanation:
A Dilation didn't take place. They are of the same size.
If satisfied please leave a review and feel free to give brainiest.
at a local college there are 8 women enrolled for every 3 men. If there are 60 men enrolled how many women are enrolled?
Answer:
160
Step-by-step explanation:
Find the area of the rectangle. 8 cm 16 cm
Answer:
128 cm^2
Step-by-step explanation:
The area of a rectangle is given by
A = l*w
A= 8*16
128 cm^2
