Step-by-step explanation:
Let x = m² and y = 4n.
Then m⁶ - 64n³ = x³ - y³
= (x - y)(x² + xy + y²)
= (m² - 4n)(m⁴ + 4m²n + 16n²).
Omgggg please please please help me I really really really need help on this. Please can you guys help me solve this problem?
Answer:
The volume of the figure is: 60840[tex]\pi ^3[/tex], or approximately about 191037.6 ft^3.
Step-by-step explanation:
This 3D figure can be split into two separate figures, a half-sphere, and a cone.
Let's first try to find the volume of the half-sphere.
The formula for the volume of the half-sphere is [tex]\frac{2}{3}\pi r^3[/tex], so substituting 39 for r gives us a volume of 39546[tex]\pi \\\\[/tex]ft^3, or about 124174.44 ft^3.
Next, let's find the volume of the cone. We see that the radius of the cone is once again 39 ft, and the height of the cone i s just 81-39, or 42 ft.
The volume of a cone is [tex](\pi r^2h)/3[/tex], and substituting 39 for r and 42 for h, we obtain a result of 21294[tex]\pi^3[/tex], or about 66863.16
Thus, the final volume of the figure is: 60840[tex]\pi ^3[/tex], or approximately about 191037.6 ft^3
How many 4 decilitre jugs are
needed to fill 8.4 litre container?
A 21
B. 2 100
C. 210
D. 33.6
Answer:
A=21
Step-by-step explanation:
4 decilitres= 0.4 litres
8.4/0.4=21
Select "equivalent" or "not equivalent" for each pair of expressions.
Expressions
equivalent or not equivalent?
5x - 7+ 3x and 3x – 7+ 5x equivalent not equivalent
4y + 9 + 3y and 3y+9+ 4y equivalent not equivalent
62 - 2x + 4 and 4 + 2z. - 62 equivalent not equivalent
Answer:
Step-by-step explanation:
1. Not
2. Yes
3. not
Are x+x^2 and u+u^2 the same function? If x and u are for all real numbers? A- these are the same function B- If x and u are two different numbers, the functions are different C- there is not enough information to answer this question.
Answer:
(a) These are the same function
Step-by-step explanation:
Given
[tex]x + x^2[/tex] and [tex]u + u^2[/tex]
Required
Are they the same?
Yes, they are the same function and this is proved below.
[tex]x + x^2[/tex]
Represent as a function:
[tex]f(x) = x + x^2[/tex]
[tex]u + u^2[/tex]
Represent as a function
[tex]f(u) = u + u^2[/tex]
Let x = u
Substitute u for x in [tex]f(x) = x + x^2[/tex]
[tex]f(u) = u + u^2[/tex]
This implies that:
[tex]f(x) = f(u)[/tex]
[tex]x + x^2 =u + u^2[/tex]
PS: The information that x and u are real numbers are for all real numbers; So, we can not assume that x and u are different numbers
Hence:
(b) and (c) are wrong
help please!!!!!!!!!!!!!!!!!!!!!!!
9514 1404 393
Answer:
a) $336
b) $1036
Step-by-step explanation:
a) The interest is computed using the formula ...
I = Prt
where P is the amount invested at rate r for t years.
I = $700·0.08·6 = $336
The interest earned is $336.
__
b) The balance of the account is the sum of the original amount and the interest earned:
balance = $700 +336 = $1036
The balance of the account is $1036.
CAN SOMEONE PLEASE HELP ME I WLL MARK BRAINLIEST!!!
Answer:
1/2 inch: 3 feet
Step-by-step explanation:
It says in the bottom right corner.
Answer:2tt
Step-by-step explanation:
huh
Given the two angles:
1) two angles are:
Congruent
Supplementary
Complementary
2) because they are...
Corresponding
Consecutive interior
Alternate exterior
Alternate interior
Answer:
congruent, alternate exterior
Step-by-step explanation:
For the first question, the angles are congruent (they are not complementary because they dont add p to 90 degrees, and they are not supplementary because they dont add up to 180 degrees so they must be congrunet)
For the second- they are alternate exterior (i know that they are on the outisde so they are exterior)
4+8 890-5+764+88=765678987654
Answer:
no its 1749
Step-by-step explanation:
n/-5 = 7
What is n
Please answer with an explanation of how you completed the equation
Answer: n= -35
Step-by-step explanation: N= 7(-5) =-35
In rectangle uvwx, xy = YW = 18.5 in. What is the area of rectangle uvwx
IM BEING TIMED PLEASE ANSWER THANKS
Answer:
The area of the rectangle is 420 square inches
Step-by-step explanation:
By adding the diagonals, we have a total of
18.5 * 2 = 37 inches
We can apply Pythagoras’ theorem to get the other side of the triangle
It states that the square of the hypotenuse equals the sum of the squares of the two other sides
Let the other side measure x inches
Thus;
37^2 = 12^2 + x^2
x^2 = 37^2 - 12^2
x^2 = 1225
x = √1225
x = 35 inches
So the area of the triangle would be;
35 * 12 = 420 square inches
Answer:
420
Step-by-step explanation:
which value of x is the solution set of 2(3x-1)≥4x-6
Answer:
-1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of EqualityStep-by-step explanation:
Step 1: Define
2(3x - 1) ≥ 4x - 6
Step 2: Solve for x
Distribute 2: 6x - 2 ≥ 4x - 6Subtract 4x on both sides: 2x - 2 ≥ -6Add 2 on both sides: 2x ≥ -4Divide 2 on both sides: x ≥ -2Here we see that any value x greater than or equal to -2 would work as a solution.
⅒ (to decimal)
A. 0.1
B. 0.53
C. 0.10
In his last basketball game, Chris attempted a total of 25 shots and made 18 of them.What is the ratio of how many shots missed and how many shots made?
Answer:
7:18
Step-by-step explanation:
Chris attempted a total of 25 shots
He made 18 shots
Number of shots missed= 25-18
= 7
Therefore the ratio of shots missed and shots made can be calculated as follows
7:18
Hence the ratio is 7:18
are you a robot cause i think you are
Lin is reading a 47-page book. She read the first 20 pages in 35 minutes. Rounding to the nearest minute, how long will it take Lin to finish the entire book?
Answer: 82.25 minutes
Step-by-step explanation:
First convert the minutes she took to hours. This would be:
= 35/60
She is reading at a speed of 20 pages per 35/60 hours.
To finish 47 pages therefore, she will take:
= (47 * 35/60) / 20
= 1.37083 hours
Converted to minutes that would be:
= 1.37083 * 60 mins
= 82.25 minutes
Find the equation of the line through the points (-2,-9) and (5,12)
y =
Answer:
y - 12 = 3(x - 5)
Step-by-step explanation:
Going from (-2, -9) to (5, 12), x (the run) increases by 7 and y (the rise) increases by 21. Thus, the slope of this line is m = rise / run = 21/7 = 3.
Using the point-slope formula y - k = m(x - h), we get:
y - 12 = 3(x - 5)
...............°__________°.................
Answer:
35
Step-by-step explanation:
i pretty sure
Hey again!
The answer to your question is 122.5 feet²
We can find the dimensions of the new figure:
2 x 3.5 = 7
5 x 3.5 = 17.5
Area = length x width, so 7 x 17.5 = 122.5
Hope it helps!
a company sets up a food booth at the county fair. the fee for the food booth is 100$ plus 5$ per day. which expression can be used to determine how much money it would cost after x days?
Answer:
Total cost after x days = 100 + 5(x)
Step-by-step explanation:
Given:
Fixed cost = $100
Per day charges = $5
Find:
Total cost after x days
Computation:
Assume;
Number of days = x
Total cost after x days = $100 + $5(x)
Total cost after x days = 100 + 5(x)
You want to limit the amount of television you watch to an average of at most 2 hours a week during and eight week period. How many hours x can you watch in the eight weeks to meet your goal.
Answer:
x = 16hours
Step-by-step explanation:
Given
Total number of hours to watch the television a week is 2 hours, that is;
2hours =1 week
We are to find the number of hours to watch in eight weeks to meet the goal
x hours = 8 weeks
Divide both expressions;
2/x = 1/8
Cross multiply
1 * x = 2*8
x = 16
Hence he will use 16hours to watch the television in 8 weeks
What is the answer of this q ❓
Answer:
68Step-by-step explanation:
lets mijdkdefbdhnrr
Which is a graph of the solution of the inequality -5m+10>70
Answer:
solving form; m< -12
Step-by-step explanation:
On a linear graph there would be an open circle on the number -12 and the line would be pointing left
what is the measure of the central angle that represents blue backpacks?
Answer:
Yes it is 10
Step-by-step explanation:
help plz plz plz plz
Step-by-step explanation:
2(4y-44)°+2(3y+35)°=360°
(8y-88)°+(6y+70)°=360°
(8y+6y+70-88)°=360°
(14y-12)°=360°
14y=360°+12°
14y=372°
y=372°/14
y=27°
acute angle
(4y-44)° =4(27)°-44°
=108°-44°=64°
Solve the following multi-step equation: 4(2 - 4x) - 3x = 65
Answer:
x = -3
Step-by-step explanation:
4(2 - 4x) - 3x = 65
Distribute the 4.
8 - 16x - 3x = 65
Combine like terms.
8 - 19x = 65
-19x = 57
Divide by -19 to isolate x.
x = 57/-19
x = -3
Check.
4(2 - 4(-3)) - 3(-3) = 65
4(2 - (-12) + 9 = 65
4(14) + 9 = 65
56 + 9 = 65
65 = 65
The solution of the given linear equation 4(2 - 4x) - 3x = 65 is -3.
Two algebraic expressions separated by an equal symbol in between them and with the same value of the expression are called equations.
Example = 2x +4 = 12
here, 4 and 12 are constants and x is variable.
The solution of the equation 4(2 - 4x) - 3x = 65 is calculated as:
4(2 - 4x) - 3x = 65
Multiply the expressions inside the brackets,
8 - 16x -3x = 65
8 - 19x = 65
Subtract 8 from both the sides,
-19x = 65- 8
-19x = 53
Divide both side by -19
[tex]x = \dfrac{-53}{19}[/tex]
Thus, the value of x is -3.
Learn more about equations here:
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How many should I have?
Answer:
You should have 95 bananas.
Step-by-step explanation:
multiply 19 by 5.
Answer:
95 bananas ..I'm here for the points
click to see the problem
Answer:
C is your correct answer i think
Step-by-step explanation:
help plz plz plz plz will mark brainliest
Answer:
x = 68°
Step-by-step explanation:
Let us solve the question
In the given figure
∵ The ray WD bisects ∠ZWN
→ That means it divides the angle into two equal angles, ∠ZWD and ∠DWN
∴ m∠ZWD = m∠DWN
∵ m∠ZWD = 5v - 7
∵ m∠DWN = 4v + 8
→ Equate the measures of the two angles
∴ 5v - 7 = 4v + 8
→ Add 7 to both sides
∵ 5v - 7 + 7 = 4v + 8 + 7
∴ 5v = 4v + 15
→ Subtract 4v from both sides
∵ 5v - 4v = 4v - 4v + 15
∴ v = 15
∵ x = m∠ZWD
∴ x = 5v - 7
→ Substitute v by 15
∵ x = 5(15) - 7
∴ x = 75 - 7
∴ x = 68°
Which property is demonstrated by the equation (5 + a) + 3 = (a + 5) + 3?
Answer:
Communitive Property
Step-by-step explanation:
Commutative property = 2 + 3 = 3 + 2 or 2(3) = 3(2)
Associative Property = (2 x 3) 5 = 2 (3 x 5) or (2 + 3) + 5 = 2 + (3 + 5)
Inverse Property = 2 + (-2) = 0 or (2/1)(½) = 1
Basic Definitions:
Commutative Property - Gives you the ability to switch the order of the numbers in an expression.
Associative Property - Let's you move the parenthesis in an expression but not the numbers.
Inverse - Uses numbers like 0 and 1.
Using these basic definitions and examples, we can summarize that the best answer would be Communitive Property
Heidi went on a hike and now needs to ride her bike back to her tent. She starts out by traveling 15 miles south. Then she turns and rides 8 miles east. How far is she from her starting position to her tent?
Answer:
17 miles
Step-by-step explanation:
If Heidi starts out by traveling 15 miles south, then y = -15 miles
If she then turns and rides 8 miles east, then x = +8miles
The distance from her starting position to her tent is gotten using the pythagoras theorem as shown;
d = √(-15)²+8²
d = √225+64
d = √289
d = 17miles
Hence her distance from her starting position to her tent is 17 miles
Which method will NOT get you to the point (4,3.5)?
A. Starting at the origin, go 3.5 spaces to the right and then 4 spaces up.
B. Starting at the origin, go 3.5 spaces up and then 4 spaces to the right.
C. Starting at the origin, go 4 spaces to the right and then 3.5 spaces up.
D. Put one finger on 4 on the x-axis, and put another finger halfway between 3 and 4 on the y-axis. Move the first finger up and the second finger to the right until they meet.
Answer:
A. Starting at the origin, go 3.5 spaces to the right and then 4 spaces up.
Step-by-step explanation:
if you were to plot this then the point would be (3.5,4) instead of (4,3.5)
Starting at the origin, go 3.5 spaces to the right and then 4 spaces up will not get you to the point (4,3.5) but will get you (3.5, 4). The correct option is A.
What are coordinates?Coordinates are a pair of integers (Cartesian coordinates), or occasionally a letter and a number, that identify a certain place on a grid, often referred to as a coordinate plane.
We have the point (4, 3.5).
And let the point (x, y).
By comparing,
we get,
x = 4 and y = 3.5
That means, the value in the x coordinate is 4 and y coordinate is 3.5.
As the signed distance from the origin in the direction along the x-axis, the first value x is known as the x-coordinate (or x-component). The x-coordinate indicates the distance from the y-axis to the right (if x is positive) or left (if x is negative).
Additionally, the y-coordinate indicates how many steps are needed to up either positively or negatively on the y-axis.
So, the point is 4 point right from the origin and 3.5 point up from the origin.
Therefore, starting at the origin, go 3.5 spaces to the right and then 4 spaces up will not get you to the point (4,3.5)
To learn more about the coordinates;
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