Answer:
(40-y)^3
Step-by-step explanation:
Make the unknown y
(40-y)^3
Answer:
The difference can be expressed as
y=x³+120x²-4800x+64000
Or
y=(40-x)³
Step-by-step explanation:
Step one
To solve the problem problem let us first initialize the number to be x
By breaking the statement into component parts and implementing
Step two
1. The difference between 40 and the number
=(40-x)
2. The cube of the difference
= (40-x)³
Let us equate the expression to y
y=(40-x)³
Step three
Expanding the expression we have
y= (40-x)(40-x)(40-x)
Opening bracket we have
y=(1600-40x-40x+x²)(40-x)
y=64000-1600x-
1600x+40x²-1600x+40x²+40x²-x³
y=x³+120x²-4800x+64000
the expression for determining the number of distinct subsets for a set with n distinct elements is
Answer:
The expression for determining the number of distinct subsets for a set with n distinct elements is 2^n (2 raise to the power n).
Step-by-step explanation:
The expression for determining the number of distinct subsets for a set with n distinct elements is 2^n (2 raise to the power n).
If a set has 0 elements then it has 1 subset which is a null set (2^0=1)
if a set has 1 element then it has 2 subsets. One is a null set and the other one would be itself (2^1 = 1).
Like wise if a set has 5 elements then it has 32 subsets (2^5 = 32)
Lets solve an example. We have a set A and we have to find the subsets of set A.
A = {1,2,}
2^n = 2^2 = 4
It means that the number of all the possible subsets = 4
{0},{1},{2},{1,2}....
In this exercise we have to have knowledge of sets and subsets to find the value of the unknown, like this:
[tex]2^n = 2^2=4[/tex]
So we have to remember some ideas about sets like:
The expression for determining the number of distinct subsets for a set with n distinct elements is 2^n (2 raise to the power n). for exemple:[tex]2^0=1\\2^1 = 1\\2^5 = 32[/tex]
We have a set A and we have to find the subsets of set A, so that is :
[tex]A = {1,2,}\\2^n = 2^2 = 4\\A= {0},{1},{2},{1,2}....[/tex]
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I am a 2-digit number. The sum of my digits is 11. I am divisible by both 4 and 7
Answer:
56 or 84
Step-by-step explanation:
Answer:
It's 56
Step-by-step explanation:
We have 2 digit number the sum of digits is 11 and it is divisible by 4 and 7 so, first possibility is 4×7=28 ; but the sum of digits is 11; so,the sum of digits is 2+8=10 which does not satisfies the first constraint next possible 2 digit number is 56: since the sum of digits is 5+6=11, 56 ÷ 7 = 8 , 56 ÷ 4 = 9Convert the following Celsius degrees to Fahrenheit 35° F
Answer:
Step-by-step explanation:
95 degrees farighite
What is -14=3x+x-2 can someone please help
Answer:
[tex]\large\boxed{x=-3}[/tex]
Step-by-step explanation:
[tex]-14=3x+x-2\qquad\text{add 2 to both sides}\\\\-14+2=3x+x-2+2\qquad\text{combine like terms}\\\\-12=4x\qquad\text{divide both sides by 4}\\\\\dfrac{-12}{4}=\dfrac{4x}{4}\\\\-3=x\to x=-3[/tex]
Steps to solve the equation
-2(x-4)+8=2
Answer:
x=-1
Step-by-step explanation:
-2(x+4)+8=2
1) Use the Distributive property:
-2x-8+8=2
2) Combine alike terms:
-2x=2
3) Divide both sides by -2:
x=-1
is 136 a perfect square
Answer:
No, because there is no whole number that when multipled by itself gives 136Step-by-step explanation:
11² = 11 · 11 = 121 < 136
12² = 12 · 12 = 144 > 136
WILL MARK BRAINLIEST!!!
The graph of the function f(x) is shown below.
What is x when f(x)=0?
A. -1.8
B. -1.2
C. 0
D. 5
Answer:
D5 is the answer im pretty sure
Step-by-step explanation:
Answer:
The answer is D (5)
Step-by-step explanation:
I just took the test and got it right
Hopefully this helps you
pls mark brainlest
Solve for x: 6x + 3 = 5x − 8
Answer:
x = -11
Step-by-step explanation:
First subtract 5x from both sides (6x - 5x) and the equation turns into: x + 3 = -8. Then subtract 3 from both sides, -8 - 3, and that equals -11. And so the final answer is -11.
The value of x from the equation 6x + 3 = 5x − 8 is -11.
What is a system of equations?A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.
Given equation ; 6x + 3 = 5x − 8
Solve for x:
6x + 3 = 5x − 8
First subtract 5x from both sides
6x + 3 - 5x = − 8
x + 3 = -8
Then subtract 3 from both sides;
x = -8 - 3
x = -11
Thus, the final answer is -11.
Therefore, The value of x from the equation 6x + 3 = 5x − 8 is -11.
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How do you write 549,867 in expanded form?
In expanded form, 549,867 would be written like this: 500,000 + 40,000 + 9,000 + 800 + 60 + 7. This is how it is supposed to be.
Hope this helped!
Nate
Answer:
(5x100,000) + (4 x 10,000) + (9 x 1,000) + (8 x 100) + (6 x 10) + (7 x 1)
Step-by-step explanation:
multiply the number by the place value.
During November, sales are
at their peak. The store
manager must work 40
hours that week. How much
Will the manager earn?
Answer:it depends how much he is earning
what do the word enlightened mean
Answer:
To understand something or someone completely
Step-by-step explanation:
It originates from the word enligtment
x/5 -8=4 find the value of x
Answer:
x=60
Step-by-step explanation:
I'm assuming you meant this: (x/5)-8=4
In which case you would add 8 to both sides to get rid of the 8 on the left (your goal is to get x by itself so you want to move the numbers on the x side to the other side of the equal sign)
(x/5)=12
Then you would multiply 5 on both sides to get rid of the fraction with the 5 on the bottom on the left side.
x=60
There's your answer.
Pencils cost $0.24 each , and pens cost $.79 each. Mrs. Trevino bought 6 pencils and 5 pens. How much did she pay for the pencils and pens in dollars and cents?
Answer:
$5.39
Step-by-step explanation:
5 x .79 = 3.95
6 x .24 = 1.44
3.95 + 1.44 = 5.39
Answer:
For the pencils, she paid: $1.44
For the pens, she paid: $3.95
Step-by-step explanation:
Pencils cost $0.24each.
Pens cost $0.79 each.
Mrs. Trevino bought 6 pencils and 5 pens.
For the pencils, she paid: 6 × $0.24 = $1.44
For the pens, she paid: 5 × $0.79 = $3.95
2y-3=3y
i need help
Answer:
y = -3
Step-by-step explanation:
First, subtract 2y from both sides, (3y - 2y) and that should give you the equation, -3 = y. And that's your final answer.
2y-3=3y
Move 2y to the other side
Sign changes from +2y to -2y
2y-2y-3=3y-2y
-3=y
Answer: y=-3
2 1/8 x 2 6/9
(Multiplying fractions)
Answer:
17/6
Step-by-step explanation:
Start off with
2 1/8 * 2 6/9
Convert mixed number into improper fraction
17/8
reduce fraction with 3
17/8 * 2 * 2/3
Reduce numbers with GCD 2
17/4 * 2/3
Repeat
17/2 * 1/3
Multiply fractions
17*1/2*3
You then get...
17/6!
[Alternative forms: 2 5/6, 2.83]
Is -2.75 greater than or less than -2.5
Answer:
Less because they are negative
Step-by-step explanation:
The number-2.75 is less than the number -2.5.
What is a number system?A numeral system is a way of writing numbers; it's a way of mathematically notating a collection of numbers by utilizing a consistent set of digits or other symbols. In several numeral systems, the same set of symbols may represent various numbers.
Given numbers are -2.75 and -2.5.
The number -2.75 is less than the number -2.5. For the negative integers the number with a higher magnitude but having a negative sign is lesser than the number with a small magnitude with a negative sign.
Therefore, the number-2.75 is less than the number -2.5.
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A blueprint of a shopping complex shows the bottom edge of the roof to be 93 feet above the ground. If the roof
rises to a point 171 feet above the ground over a horizontal distance of 6.5 yards, what is the slope of the roof?
12
O
1.2
08
Slope = (rise) / (run)
Rise = (171-93) = 78 ft
Run = 6.5 yards = 19.5 ft
Slope = (78 / 19.5)
Slope = 4
The correct figure is not included in the list of choices.
The slope is 4.
What is slope?The slope is defined as the ratio of the vertical change between two points, the rise, to the horizontal change between the same two points, the run.
given:
roof rises= 171 feet above the ground
horizontal distance = 6.5 yards
using,
Slope = (rise) / (run)
Rise
= (171-93)
= 78 ft
Run
= 6.5 yards
= 19.5 ft
Slope
= (78 / 19.5)
= 4
hence, the slope is 4.
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Estefani‘s house is at point E (3,-2) and Jasmin’s house is at point J (-5,3). Jasmin’s house is the Mid-point of Estefani’s house and Preston’s house. Give the y-coordinate of Preston’s house.
The formula for midpoint is
([tex]\frac{x_{1}+x_{2}}{2}[/tex], [tex]\frac{y_{1}+y_{2}}{2}[/tex])
Look at the image below to see the line segment of Estefani's (A), Jasmin's (M), and Preston's (B) houses. Keep in mind that the segment shown below is not accurate in regards to how the line segment formed by Estefani's, Jasmin's, and Preston's houses. It is simply there so you can picture the segment better.
In this case:
[tex]x_{1} =3\\x_{2} =unknown\\y_{1} =-2\\y_{2} =unknown[/tex]
^^^Plug in these number into the formula given above...
([tex]\frac{3+x}{2}[/tex], [tex]\frac{-2 + y}{2}[/tex])
To find what x is (a coordinate of Preston's house) you must take the x-value part of the midpoint equation ([tex]\frac{3+x}{2}[/tex]) and set it equal to the x-value of the midpoint (-5). Then you must solve for x:
[tex]\frac{3+x}{2}[/tex] = -5
3 + x = -5 * 2
3 + x = -10
x = -10 - 3
x = -13
To find what y is (a coordinate of Preston's house) you must take the y-value part of the midpoint equation([tex]\frac{-2 + y}{2}[/tex]) and set it equal to the y-value of the midpoint (3). Then you must solve for y:
[tex]\frac{-2 + y}{2}[/tex] = 3
-2 + y = 3 * 2
-2 + y = 6
y = 6 + 2
y = 8
The coordinate of Preston's house is:
(-13, 8)
Hope this helped!
~Just a girl in love with Shawn Mendes
It takes 687 Earth days for the planet Mars to revolve around the sun once. How many Earth days does it take Mars to revolve around the sun four times
Answer:
2748 days
Step-by-step explanation:
687 days * 4 revolves = 2748
2748 earth days.
What are the steps of simplification?Expressions included in parentheses, brackets, braces, and fraction bars should be made simpler. Analyze each power. Divide and multiply all numbers from left to right. Make sure to add and subtract all numbers from left to right. last but not least, use any method. BODMAS or PEMDAS.
Given, It takes 687 Earth days for the planet Mars to revolve around the sun once.
Earth days does it take Mars to revolve around the sun four times = 4 *687
Therefore, 2748 Earth days take Mars to revolve around the sun four times.
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What is the solution of 12b=18
Answer:
b=18/12
b=3/2
so practice more
2.4 = m + 3.7 linear equations solving
Answer:
m = -1.3
Step-by-step explanation:
subtract 3.7 from both side so it gets you 2.4-3.7 = m
then you will get -1.3
Find the domain of the function.
g(x) = 1 - 2x^2
The domain of the function will be Domain: ( − ∞ , ∞ ) , { x | x ∈ R }.
What is the domain of the function?The entire range of independent variable values is the domain of a function. In algebra, a polynomial function with one or more variables in which the highest-degree term is of the second degree is known as a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic.
The given quadratic function g(x) = 1 - 2x² will have a domain from negative infinity to positive infinity. The graph of the function is also attached with the answer below.
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PLEASE HELP AND EXPLAIN!!!
I WILL MARK BRAINLIEST AND THANK YOU!!!
If DF = 42, find DE.
Answer: The required length of DE is 29.
Step-by-step explanation: We are given that DF = 42 in the figure shown.
We are to find the length of DE.
From the figure, we note that
[tex]DE=7x+1,~~EF=4x-3.[/tex]
According to the given information, we have
[tex]DF=42\\\\\Rightarrow DE+EF=42\\\\\Rightarrow 7x+1+4x-3=42\\\\\Rightarrow 11x=42+2\\\\\Rightarrow 11x=44\\\\\Rightarrow x=\dfrac{44}{11}\\\\\Rightarrow x=4.[/tex]
Therefore, we get
[tex]DE=7x+1=7\times4+1=28+1=29.[/tex]
Thus, the required length of DE is 29.
The length of DE using the measurements DF = 42, DE = 7x + 1 and EF = 4x - 3 is 29 unit.
given that,
the length of DF = 42
length of DE = 7x + 1
and, length of EF = 4x - 3
Now, from the figure
DE + EF = DF
Plugging the values back to the formula as
7x + 1 + 4x - 3= 42
Combine like terms
11x - 2 = 42
add 2 both side
11x = 42 + 2
11x = 44
Divide both side by 11
x= 44/11
x= 4
So, the length of DE is
= 7x + 1
= 28 + 1
= 29
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The formula for the volume V of a cylinder is V = πr2h, where r is the radius of the base and h is the height of the cylinder. Solve the formula for h.
Choose the correct formula.
A. h=Vπr2
B. h=Vπr2
C. h=Vr2π
D. h=Vπr2
Part B
Find the height of a cylinder with a volume of 36π cm3 and a base with a radius of 3 cm.
h = __ cm
Answer:
Part A) [tex]h=V/(\pi r^{2})[/tex]
Part B) [tex]h=4\ cm[/tex]
Step-by-step explanation:
Part A)
we have the formula of the volume of a cylinder
[tex]V=\pi r^{2}h[/tex]
Solve for h
That means ----> isolate the variable h
Divide both side by πr²
[tex]V/(\pi r^{2})=\pi r^{2}h/(\pi r^{2})[/tex]
Simplify
[tex]V/(\pi r^{2})=h[/tex]
Rewrite
[tex]h=V/(\pi r^{2})[/tex]
Part B) Find the height of a cylinder with a volume of 36π cm3 and a base with a radius of 3 cm
we have
[tex]V=36\pi\ cm^3[/tex]
[tex]r=3\ cm[/tex]
substitute in the formula and solve for h
[tex]h=36\pi/(\pi 3^{2})[/tex]
[tex]h=4\ cm[/tex]
To solve for h in the formula V = πr2h, divide both sides of the equation by πr2 to isolate h. The height of a cylinder with a volume of 36π cm3 and a base radius of 3 cm is 4 cm.
Explanation:To solve the formula V = πr2h for h, we need to isolate h on one side of the equation. To do this, divide both sides of the equation by πr2. This gives us the equation h = V/(πr2). Therefore, the correct formula for solving for h is h = V/(πr2).
To find the height of a cylinder with a volume of 36π cm3 and a base radius of 3 cm, substitute the given values into the formula h = V/(πr2). This gives us h = 36π / (π * 32). Simplifying further, h = 36 / 9 = 4 cm.
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I don't understand how to find slope, can someone help me with the problems circled in blue? Thanks!
(show your work please)
the equation to find any slope given two points is (y1-y2)/(x1-x2)
given this equation, the slope of problem 24 would be (6-3)/(-1-4) or (3-6)/(4+1) which is equal to -3/5,
depending on which point you call (x1,y1) and (x2,y2)
calling either of the points 1 or 2 will still result in the same slope
Ten less than a number is three more than six times the number
Answer:
x-10=6x+3
Step-by-step explanation:
Okay, Is means equals. I used x as the unknown number. 10 less than a number means x-10. Squishing a variable and constant ( x and 6) together means multiplication (Constant always going before the variable) It's three more than six times the number, so it's six times the number plus three.
Hope I helped :)
How would I solve 2/3+3n/5=13/15
well, one way to go about it is, to do away with the denominators by using the LCD of all fractions, hmmm let's see, we have denominators of 3,5 and 15, so the LCD will just be 15.
now let's multiply both sides by the LCD of 15 to do away with the denominators,
[tex]\bf \cfrac{2}{3}+\cfrac{3n}{5}=\cfrac{13}{15}\implies \stackrel{\textit{multiplying both sides by }\stackrel{LCD}{15}}{15\left( \cfrac{2}{3}+\cfrac{3n}{5} \right)=15\left( \cfrac{13}{15} \right)}\implies 10+9n=13 \\\\\\ 9n=3\implies n=\cfrac{3}{9}\implies n = \cfrac{1}{3}[/tex]
Please answer this correctly
Answer:
Gary
Step-by-step explanation:
Edward more than Gabby
So Edward>Gabby
But Edward swam fewer laps than Noelle
So Noelle>Edward>Gabby
Gabby swam more than Gary
So Noelle>Edward>Gabby>Gary
How do you solve this? Please help
Write the equation of the line in slope-intercept form.
m = 2/9, y-intercept (0,5)
The equation of the line in slope-intercept form is
Step-by-step explanation:
Given :- y intercept = ( 0 , 5 ) i.e, the line cuts y axis at 5
and , slope of the line ( m ) = 2/9
• Slope intercept form of the equation is
y = mx + c
Where , m is slope of the line
and c is y intercept !!
[tex]y = \frac{2}{9} x + 5 \\ \\ because \: c \: = 5[/tex]