Answer:
[tex]x=(b-a)^{3}[/tex]
Step-by-step explanation:
Subtract ‘a’ from both sidesThis gives [tex]\sqrt[3]{x}=b-a[/tex]Cube both sidesThis gives [tex]x=(b-a)^{3}[/tex]Answer:
x = b³ - 3b²a + 3a²b - a³
Step-by-step explanation:
Given:
[tex]\sqrt[3]{x} + a = b[/tex]
To determine the value of "x", we need to isolate it. Start out by subtracting "a" both sides. Then, we can cube both sides to remove the cube root. Finally, we can simplify both sides to obtain the value of x.
Subtract "a" both sides to isolate ∛x:
[tex]\implies \sqrt[3]{x} + a - a = b - a[/tex]
[tex]\implies \sqrt[3]{x} = b - a[/tex]
Cube both sides to remove the cube root on the L.H.S:
[tex]\implies (\sqrt[3]{x})^{3} = (b - a)^{3}[/tex]
[tex]\implies x= (b - a)^{3}[/tex]
Use the formula (a - b)³ = a³ - 3a²b + 3ab² - b³
[tex]\implies x = b^{3} - 3(b)^{2}(a) + 3(b)(a)^{2} - a^{3}[/tex]
[tex]\implies \boxed{x = b^{3} - 3b^{2}a + 3a^{2}b - a^{3}}[/tex]
Thus, the value of x is b³ - 3b²a + 3a²b - a³.
does anybody know the answer to this question?
Answer: 56 yd
Step-by-step explanation: if you continue the 8 yd line across, it would show that the missing side is 4yd less than the 13 yd side, meaning the missing side is 9 yd long. So after adding 7 + 13+ 15+ 4 + 8 + 9= 56 yd
What is the answer to this?
Answer:
0.216 cubic feet
Step-by-step explanation:
v = lwh (volume = length times width times height)
v = 0.6 x 0.6 x 0.6 OR 0.6^3
v = 0.216
For each item, find the product of the complex number and its complex conjugate. Show your work.
(a) 10-14i
(b)-5-12i
(c) 8+3i
(d) - 9-5i
Answer:
114
Step-by-step explanation:
Here is the first one.....you should be able to do the others
(10-14i)(10+ 14i) expand
100 + 140i - 140i - 14i^2
100 - 14i^2 remember i = sqrt (-1) so i^2 = -1
100 - (14 *-1)
114
What are the solutions to the quadratic equation (x + 4)(3x - 5) = 0?
Answer:
x = 4x = 5/3Step-by-step explanation:
Given :
⇒ (x + 4)(3x - 5) = 0
The solutions will make the answer 0.
Therefore,
x + 4 = 0 3x - 5 = 0⇒ x = 4
⇒ 3x = 5 ⇒ x = 5/3
The graph of p = 400 and the graph of p = 50s – 200 intersect at the point (12,400). If the equation p = 50s – 200 represents the profit, p, based on s sales, what does the intersection best represent?
a. When the sales are 400, the profit is 12.
b. When the sales are 12, the profit is 400.
c. The profit is always 400.
d. The sales are always 12.
Which expression best represents the opposite of the opposite of 8-
812
1
A -(+81
B -(-81)
c +(-81
D+(+84)
A rectangle is 8 feet long. Its width is
Answer:
b
Step-by-step explanation:
opposite of 8- i tried sorry its because im a 4th grader
Bill uses rope to outline a location to build a rectangular deck that should be 8 feet wide and 15 feet long. His friend Tyrone lays a 15-foot-long board on the diagonal of the deck area Bill outlined, and it just fits from corner to opposite corner. What should Tyrone tell Bill?
The length of the diagonal outlined by rectangular deck of 8 ft by 15 ft is 17 ft.
What is a rectangle?A rectangle is the quadrilateral (has four sides and four angles) in which each angle measures 90 degrees. Opposite sides are parallel and equal.
The length of the diagonal (x) can be determined using Pythagoras, hence:
x² = 15² + 8²
x = 17 feet
The length of the diagonal outlined by rectangular deck of 8 ft by 15 ft is 17 ft.
Find out more on rectangle at: https://brainly.com/question/25292087
Can anyone please solve this? I need it to be right.
Answer:
65
Step-by-step explanation:
[tex]\frac{3(2^5)-13(-2)+2^3}{-2^2+3^2-3} =\frac{3(32)+26+(8)}{(-4)+(9)-3} =\frac{96+34}{2} =\frac{130}{2}=65[/tex]
A bullet fired up in the air attains a height of g(x) = 14x2 + 48x - 4 feet after x seconds. Find the
average rate of change of g between X = 1 and X = 3
Answer:
104ft/s
Step-by-step explanation:
[tex]\frac{f(b)-f(a)}{b-a}=\frac{f(3)-f(1)}{3-1}=\frac{266-58}{2}=\frac{208}{2}=104[/tex]
Thus, the average rate of change of the function between x=1 and x=3 is 104ft/s
Please help fast i I’ll give brainliest
Answer:
The answer is B. 1/4^8
Step-by-step explanation:
Every time the power it to the negative it inverse it.
An example, 2^-2 = 1 / 2^2
So, 4^-8 = 1 / 4^8
HelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelpHelp
Brainliest pls
Answer: 79
Step-by-step explanation:
Name a pair of Alternate Exterior Angles
Answer: Z and M
or
N and Y
Step-by-step explanation:
Well alternate exterior angles are located on the outside of the two parallel lines, but on opposite sides of each other.
So you could say its N and Y or Z and M
Calculate the perimeter of of the shape below. Show you work
Answer:
22 is the perimeter.
Step-by-step explanation:
You find the perimeter by adding up all of the sides of a shape. 9 + 9 = 18. 18 + 4 = 22.
Graph x≥2.
look at attachment
ALL of the Students at Beach Middle School voted for a trip to the zoo or the aquarium.
- 25% of the students voted for the aquarium
- 120 students voted for the zoo
What is the total number of students at Beach Middle School?
Answer:
160
Step-by-step explanation:
If there were only 2 options, all the people who didn't pick one chose the other one.
So if 25% of the people voted for the aquarium the remaing 75% voted for the zoo.
Since three times as many people voted for the zoo, we can see that 120/3=40, so 40 people chose the aquarium.
To find the total number of students, we add 120 and 40 to get 160
help!
this is urgent
i need it rn
ty in advance
Answer:
The graph shows a steady declining plot as the aveage traffic volume increases. Since y axis is speed the correct answer is that as traffic volume increases the average vehicle speed decreases.
Step-by-step explanation:
Which number is equivalent to 5×10+4×1+8×110+6×1100+1×11,000?
Answer:
54861/1000 convert to a decimal = 54.861
A study of a population of 1,200 tigers revealed that 6 out of every 150 tigers in the
population are albino. Based on the results of this study, how many tigers in the population
are NOT albino?
========================================================
Explanation:
6/150 = 0.04 = 4% of the population are albino.
That leaves 100% - 4% = 96% that aren't albino.
96% of 1200 = 0.96*1200 = 1152
------------
Another way to look at it:
4% of the population are albino, so there are 0.04*1200 = 48 albino tigers.
This means there are 1200-48 = 1152 non-albino tigers.
ANSWER ASAP PLS! WILL GIVE MAX PTS Three times x is 13 less than y. The sum of x and two times y is 12. Write two equations and graph to find the value of y.
Group of answer choices
y = -2
y = 2
y = 7
y = -7
Solution For Given Question
Three times x is 13 less than y
[tex]3x = y - 13 \\ = > 3x + 13 = y[/tex]
The sum of x and two times y is 12.
[tex]x + 2y = 12[/tex]
Replacing Value of Y with 3x + 13
[tex]x + 2y = 12 \\ \\ \implies x + 2(3x + 13) = 12 \\ \\ \implies x + 6x + 26 = 12 \\ \\ \implies7x = 12 - 26 \\ \\ \implies 7x = - 14 \\ \\ \implies x = \cancel\frac{ - 14}{7} \\ \\ \implies x = - 2[/tex]
Now we need to fine Value of'y' i e.,
[tex]y = 3x + 13 \\ \\ \implies y = 3( - 2) + 13 \\ \\ \implies y = - 6 + 13 \\ \\ \implies y = 7[/tex]
[tex] \therefore \text{option c.(y = 7) is your answer}[/tex]
Hope this helpsWhat is the measure of the given angle in radians
Answer:
[tex]\frac{11\pi }{6}[/tex]
Step-by-step explanation:
To convert an angle from degrees to radians, you need to multiply the degrees by [tex]\frac{\pi }{180}[/tex].
[tex]\frac{330}{1}[/tex] × [tex]\frac{\pi }{180}[/tex] = [tex]\frac{330\pi }{180}[/tex]
[tex]\frac{330\pi }{180}=\frac{11\pi }{6}[/tex]
Xavier opened a savings account with a deposit of $12,000. the account earned simple interest. he did not make any additional deposits or withdrawals. at the end of 3 years, the account balance was $12,324. what is the annual interest rate on this account? question 5 options: 0.9% 1.8% 2.7% 3.6%
Answer:
0.9%
Step-by-step explanation:
I took the test
Can yall please help me on this one question.. im not good at this part..
Answer: part A I think 100 cause its 100 place value umm for part B is I can say 20
i really don't know but I'm not good at it either LOL
Sandro plans to travel to work by train on 20 days next month. He can buy a monthly ticket costing £262 or 20 separate tickets costing £15.70 each ticket. What percentage of the total cost of 20 separate tickets does Sandro save by buying a monthly ticket? Give your answer correct to 1 decimal place.
20 separate tickets in total costs £314.
Now we should find out what percentage 262 is of 314.
262÷314×100=83.4%
if 262 is 83.4% of 314, then Sandro saves (100%-83.4%) 16.6%.
ANSWER 16.6%
qartveli xar mgoni dd
Distribute to create an equivalent expression with the fewest symbols possible.
6(3c - 5d + 6) =6(3c−5d+6)=6, left parenthesis, 3, c, minus, 5, d, plus, 6, right parenthesis, equals
Using the distributive property, it is found that the equivalent expression is:
18c - 30d + 36
What is the distributive property?It is a property that the outside term multiplies each of the inside terms.
In this problem, the expression is:
6(3c - 5d + 6).
Hence, we apply the property, with the outside term 6 multiplying each of the inside terms, hence the equivalent expression is given by:
6(3c - 5d + 6) = 18c - 30d + 36.
More can be learned about the distributive property at https://brainly.com/question/2807928
I need help with this what is the answer to this problem?
Answer:
62.9 inches^3
Step-by-step explanation:
Find the area of both using the formulas then add them togther
r = radius = 4/2 = 2
h = height = ;cone = 3;cylinder = 4
cylinder volume = pie*2^2*4=50.3
cone volume = pie *2^2*3/3=12.6
total = 62.9 inches^3
4. Find the arc length.
Find the circumference:
8km x 2 x 3.14 = 50.24 km
Arc length = 50.24 x 225/360 = 31.4 km
answer: C. 10 pi or 31.4 km
How tall is this building?
Answer:
The building is 86.6 m tall.
Step-by-step explanation:
Coh Cah Toa
Coh: sin(theta) = Opp/Hyp
Cah: cos(theta) = Adj/Hyp
Toa: tan(theta) = Opp/Adj
Using Toa.
tan(theta) = Opp/Adj
tan(60°) = x/50
x = 50 * tan(60°)
x = 50 * √(3)
x ≈ 86.60254038
x = 86.6 m
What is the length of BD?
A. 5 units
B. 10 units
C. 20 units
D. There is not enough information to determine the length of BD
Answer:
what is the length of bd?
my answer is:
Letter B.10 units in my opinion
i hope it helps
Solve for x.
С
D
*
112°
yº
(2x)
>>
A
B
The graph of the function f(x)=x^2-6x shifted 2 units to the left on the graph of g(x). Select the two functions that represent the shift of f(x) onto g(x)
