Answer:
(a-b)^3 = [tex]\left(a-b\right)^3=a^3-3a^2b+3ab^2-b^3[/tex]
Step-by-step explanation:
(a-b)^3 = (a-b)(a-b)(a-b)
According to the perfect cube formula (a-b)^3 = [tex]\left(a-b\right)^3=a^3-3a^2b+3ab^2-b^3[/tex]
And there you have it! The perfect cube formula already solved your equation!
A. - 8/5
B. 5/8
C. - 5/8
D. 8/5
Answer:
5/8
Step-by-step explanation:
To find the slope, use the formula
m = (y2-y1)/(x2-x1)
= (2 - -3)/(6 - -2)
= (2+3)/(6+2)
= 5/8
Answer:
B
Step-by-step explanation:
the area of a right angled triangle is 600cm^.if base of the base of the exceeds the altitude by 10,find the dimensions of the triangle
Answer:
b => base => 40 cm
h => altitude => 30 cm
A = h*b/2
h=b-10
600=(b-10)b/2
600 = (b^2-10b)/2
1200=b^2-10b
b^2-10b-1200=0
(b-40)(b+30)=0
b=40 cm
h=b-10 = 40-10=30
The length, width, and height of Richards Fish tank are 24 inches 16 inches and 18 inches,respectively. Richard is filling his fish tank with water from a hose at the rate of 500 cubic inches per minute. How long will it take to the nearest minute to fill the tank to a depth of 15 inches
Answer: 12 minutes
Step-by-step explanation:
Volume of water in the tank
l x b x h = 24 * 16 * 15 = 5760 cu. in.
Time it will take to fill the tank
= 5760 / 500 = 11.52 = 12 minutes
2,7, 12, 17, 22, 27, 32, 37, ...
f(1) =
Common Difference:
Explicit Rule:
Answer:
Common difference=5.
Does this equation y=87.2/x represent a direct or inverse variation?
Answer:
Inverse relationship
Step-by-step explanation:
The equation we are looking at is;
y = 87.2/x
which implies xy = 87.2
If it was a direct relationship
y = constant * x
if it was inverse, it would have been
y * x = constant
since 87.2 is a constant, the question looks exactly like the second scenario.
This means that what we have is an inverse relationship
PLS HELP ILL MARK YOU BRAINLIEST 45 POINT Part A: Create a fourth-degree polynomial with three terms in standard form. How do you know it is in standard form? Part B: Explain the closure property as it relates to addition of polynomials. Give an example.
Answer:
A fourth degree polynomial:
[tex]2x^{4} + 10x^{3} + 21[/tex]
The closure property in relation to addition of polynomials means that any polynomials added together will result in another polynomial. For example
(10x^2 + 12) + (x^2 + 6) = 11x^2 + 18
This demonstrates closure because 11x^2 + 18 is also a polynomial
Step-by-step explanation:
Part A: [tex]x^{4}+2x+20[/tex] is a fourth degree polynomial with three terms and it proved that it is in standard form
Part B: Closure property has been proved in the addition of polynomials
What is Polynomial?
A polynomial is an expression consisting of indeterminates and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables.
Part A
Example of fourth degree polynomial with three terms is
[tex]x^{4}+2x+20[/tex]
The standard form of a polynomial is expressed by writing the highest degree of terms first then the next degree and so on
Hence, it is a standard form
Part B
The closure property in relation to addition of polynomials means that any polynomials added together will result in another polynomial
Example
(2x+6)+(5x+2)= 7x+8
Hence, the Closure property has been proved in the addition of polynomial
Learn more about Polynomial here
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Triangle FGH is equilateral. The midpoints of the sides are connected to form triangle XYZ. Line segment XY is parallel to line segment FH.
Triangle F G H is an equilateral triangle. Equilateral triangle X Y Z is inside of triangle F G H and the points are the midpoints of triangle F G H.
What type of figure is quadrilateral FXYH?
Answer:
Isosceles trapezoid
Step-by-step explanation:
The figure will look like one large triangle on the outside and four smaller triangles on the inside. you are only concerned with the inside triangle that is pointing to the line FH. Since XY and FH are parallel and the distance between FX and YH are equivalent (the midpoints of each side should be the same for all three sides of the larger triangle) the shape FXYH is an isosceles trapezoid.
Answer:
trapezoid
Step-by-step explanation:
Which equation is equivalent to -2(2 − 2x) = 4 − 8(1 − x)
0 = 4x
8 = 4x
4 = -4x
16 = -4x
Answer:
8 = 4x OR 0 = 4x
Step-by-step explanation:
I not %100 sure or it could be 0 = 4x
EITHERONE
Please help stuck on this question
Answer:
110 - 2x
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 angles and equate to 180
x + 50 + 5x - 40 + 110 - 2x = 180, that is
4x + 120 = 180 ( subtract 120 from both sides )
4x = 60 ( divide both sides by 4 )
x = 15
Thus
x + 50 = 15 + 50 = 65°
5x - 40 = 5(15) - 40 = 75 - 40 = 35°
110 - 2x = 110 - 2(15) = 110 - 30 = 80°
The largest angle is (110 - 2x)° = 80°
Write the explicit formula for the following sequence.
3, 30, 300, 3000
Answer:
common ratio(r) = 10
place of the term = n
a = 3
now
sequence of 1 term = ar^(n-1)
= 3×10^(1-1)
= 3× 10^0
= 3×1
= 3
sequence of 2 term = ar^(n-1)
= 3×10¹
= 30
and so on
I don’t know if this is correct !!!! Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!
Answer:
1 correct
Step-by-step explanation:
switch 2nd and 3rd
2nd is positive and negative interval Jada needs to sell more than 3 kg in order to make a profit
3rd increasing and decreasing interval the more paprika Jada sells the more profit she makes
what is 1.8 increased by 10 to make a new mean
Answer:
18
Step-by-step explanation:
1.8*10= 18/10*10=180/10=18
Find the size of the final unknown exterior angle in a polygon whose
other exterior angles are:
57° 68° 32°, 59° and 72º.
Answer:
72
Step-by-step explanation:
The sum of exterior angles is 360
360-57-68-32-59-72 =. 72
The data set shows the admission prices at several amusement parks. $25, $24, $12, $25, $19, $27. Find the mean absolute deviation of the admission prices
Answer:
4.33333333
you first have to add all the numbers together then divide by how many numbers there are (6) then subtract the sum of all 6 number from their original number , then add all those then divide by 6 again . (sorry if i did the math wrong you can check it)
GIVE ME THE COORDINATES!!!
Answer:
(0,1)
Step-by-step explanation:
The solution to a system of equations is where the two lines intersect. Algebraically, you could solve this by setting the equations equal to each other.
I hope this helps!
compare: 3 5/7 to 3 6/10 which one is greater
Answer:
3 5/7
Step-by-step explanation:
First we need to get a common denominator.
We can do this by multiplying the fractions by opposite denominators.
This gets us 3 50/70 and 3 42/70
Now we can see that 3 5/7 is greater
Steps:
Using the given inputs: 3 5/7 and 3 6/10
Rewriting these inputs as fractions: 3 5/7 3 6/10
26/7 36/10
The least common denominator (LCD) is: 70.
Rewriting as equivalent fractions with the LCD: 3 5/7 3 6/10
260/70 252/70
Comparing the numerators of the equivalent fractions we have:
3 5/7 3 6/10
260/70 > 252/70
Comparison shows: 3 5/7 > 3 6/10
Answer: 3 5/7 > 3 6/10
Please mark brainliest
Hope this helps.
100 points! Whoever can finish this is a god! you have a time limit. 10 min.
Answer:
See explanation
Step-by-step explanation:
Question 11:
The vertical axis goes from 1 to 2 to 4 to 8 to 16 without changing the difference between the blocks, which could be misleading. Therefore, the correct answer is that the vertical scale is not consistent.
Question 12:
Mean absolute deviation
Question 5:
36-16=20
Question 7:
Since the IQR is 6 and 1.5*6=9, both extremes are outliers.
Question 8:
Skewed left
Question 4:
First histogram
Hope this helps!
Will went fishing. On the first cast, he hooked a fish 80 feet from the boat. Each time he reeled in 10 feet of line, the fish would take out 5 feet. How many times did Will have to reel in to get the fish to the boat?
Answer:
he reeled in 16 times
Step-by-step explanation:
What is the answer to this question 5 x 2/5 =?
Answer:
2
Step-by-step explanation:
5 * 2/5
Rewriting
5/1 * 2/5
5/5 *2/1
1*2
2
Answer:
The answer is 2
Step-by-step explanation:
-5(x-1) = 40
whats the answer
Answer:
x = -7
Step-by-step explanation:
-5(x-1) = 40
Divide each side by -5
-5(x-1)/-5 = 40/-5
x-1 = -8
Add 1 to each side
x-1+1 = -8+1
x = -7
Answer:
x = -7
Step-by-step explanation:
-5(x-1) = 40
-5x + 5 = 40
5x - 5 = - 40
5x = 5 - 40
5x = - 35
x = -35/5
x = -7
SOMEONE PLEASE HELP MEEE !!!
Answer:
see explanation for answers
Step-by-step explanation:
prism = 12*4 + 5*4 + 12*4 + 5*4 + 12*5 + 12*5 = 256 ft²
lateral surface area of pyramid = 4*1/2*5*5 = 50 ft²
area of square base of the pyramid = 5*5 = 25 ft²
total exposed surface area of the figure = 256 + 50 - 25 = 281 ft²
What is the value of x
Answer:
A. 35 deg
Step-by-step explanation:
Use the exterior angle measure theorem.
The measure of the exterior angle of a triangle is equal to the sum of the measures of the remote interior angles.
60 + x = 95
x = 35
Divide 40 kg in the ratio 3:2.
Answer:
24:16
Step-by-step explanation:
to find 1 part = 40/5 (you add the total of the ratio: 3+2)
so 8 and then times 8 by 3 and 8 by 2 to get the parts
Answer:
24 and 16
Step-by-step explanation:
First find the number of parts: 3+2 = 5.
then, divide 40 by 5 to find how much is available for each part. This way, you get 8.
Then to find the value for each section of the ration, multiply eight by the corresponding side.
8 x 3 = 24
8 x 2 = 16
Hope this helps.
Please mark brainiest
A tennis match was delayed because of rain did officials were not prepared for the delay they cover the 25ft by 20ft court with 13ft by 10ft plastic covers how many plastic covers were needed to cover the cord from the rain
Answer:
4
Step-by-step explanation:
The 25ft by 20ft court needs to be covered.
First consider half of the court, meaning 25ft by 10ft.
To cover 25ft by 10ft you can easily place two 13ft by 10ft covers next to each other = 26 ft by 10ft
There is a 1ft overlap, but that seems reasonably acceptable.
If you do the same for the other half, then you will have covered the entire court from the rain.
So in total you need 4 plastic 13ft by 10ft covers, to cover the 25ft by 20ft cord from the rain.
This indicates that the officials will need at least 2 covers of 13ft by 10 ft to cover the court
Data;
dimension of court = 25ft by 20ftdimension of cover = 13ft by 10 ftArea of a RectangleAssuming the court is a rectangle from its given dimensions, we can proceed by dividing the dimension of the court by the dimension of the cover
[tex]25ft by 20 ft / 13ft by 10 ft = 2[/tex]
This would give us a value approximately 2.
This indicates that the officials will need at least 2 covers of 13ft by 10 ft to cover the court.
Learn more on area of a rectangle here;
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what's the justification for 2x + 0 = 22
Answer:
Additive inverse property
Step-by-step explanation:
c) A triangle has one pair of equal sides and one pair of equal angles
What is it called?
Answer:
The answer is Isosceles Triangle.
Please answer correctly !!!!!!!! Will mark brainliest !!!!!!!!!!!!
Answer:
1/5 = 0.2
Step-by-step explanation:
(0,3) and (5,4)
average rate of change is slope
formula for slope = [tex]\frac{y2-y1}{x2-x1}[/tex]
so [tex]\frac{4-3}{5-0} = \frac{1}{5}[/tex]
The vet told Jake that his dog, Rocco, who weighed 55 pounds, needed to lose 10 pounds. Jake started walking Rocco every day and changed the amount of food he was feeding him. Rocco lost half a pound the first week. Jake wants to determine Rocco’s weight in pounds, p, after w weeks if Rocco continues to lose weight based on his vet’s advice.
The equation of the scenario is
.
The values of p must be
.
This is technically impossible in real life, but we are assuming in this case that Rocco is going to constantly lose half a pound per week. Therefore, we can model this scenario using this equation:
Rocco's current weight = initial weight - (half pound per week * # weeks)
p = 55 - 0.5*w
Now if we follow the vet's advice than Rocco needs to lose 10 pounds making his new weight 55-10 = 45 pounds which means p = 45 and it would take 20 weeks (w=20)
Answer:
The vet told Jake that his dog, Rocco, who weighed 55 pounds, needed to lose 10 pounds. Jake started walking Rocco every day and changed the amount of food he was feeding him. Rocco lost half a pound the first week. Jake wants to determine Rocco’s weight in pounds, p, after w weeks if Rocco continues to lose weight based on his vet’s advice.
The equation of the scenario is p=55-0.5w
The values of p must be any real number 45 to 55
If you can, please help on this Algebra Question. Use the drop-down menus to complete the statements.
There is more than one integer, greater than 1 , which leaves a remainder of 1 when divided by each of the four smallest primes. What is the difference between the two smallest such integers?
Answer:
210.
Step-by-step explanation:
The first 4 primes are 2,3,5 and 7.
If we multiply them we get 2*3*5*7 = 210.
So 210 + 1 = 211 is one integer which gives 1 as a remainder.
The next one would be 2*210 + 1 = 421.
The difference is 210.