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Answer:
3(3x - 10)(9x² + 30x + 100)
Step-by-step explanation:
Given
81x³ - 3000 ← factor out 3 from each term
= 3(27x³ - 1000 )← a difference of cubes which factors in general as
a³ - b³ = (a - b)(a² + ab + b²) , then
27x³ - 1000
= (3x)³ - 10³
= (3x - 10)((3x)² + (3x)(10) + 10²)
= (3x - 10)(9x² + 30x + 100)
Then
81x³ - 3000 = 3(3x - 10)(9x² + 30x + 100) ← in factored form
Find the volume of a pyramid with a square base, where the area of the base is 11.1\text{ in}^211.1 in 2 and the height of the pyramid is 15.3\text{ in}15.3 in. Round your answer to the nearest tenth of a cubic inch.
Answer:
56.6in³
Step-by-step explanation:
volume of a pyramid = 1/3 x Area of base x height
1/3 x 11.1 x 15.3 = 56.61 in³
56.6 in³ to the nearest tenth
the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero
the hundredth term is 1 which is less than 5. O is added to 6
what is the explicit formula for this sequence? 7, 2, -3, -8
Answer:
Common difference (d) = -5
Step-by-step explanation:
formula=>
an = a + (n-1)d
=> -8 = 7 + (4-1)d
=> -15 = 3d
=> 3d = -15
=> d = -15/3
=> d = -5
Which graph represents the solution of the system?
Answer:
We can determine which image is correct by the second equation, only in one of the images the line is correct.
X-y=1
So x = 1+ y
If y is one x should be two.
Only in one image that is true, the third image.
HELP ME PLEASE I NEED HELP
Answer:
10, and -8.
Step-by-step explanation:
So we know a = -4
We also know that b = 2
Lets plug in a = -4 and b = 2 into b-2a:
2-2(-4)
=
2--8
A minus and minus make a plus, so:
2+8 = 10
So the answer is 10.
Next lets plug in a = -4 and b = 2 into [tex](a+b)^3[/tex]:
[tex](-4+2)^3[/tex]
=
[tex](-2)^3[/tex]
=
-8
So the second answer is -8.
Hope this helps!
Answer:
a= 2-2(-4)= 10
b= -4^3+2^3+3(-4)(2) (-4 - 2)= 8
Think about the vertical line test and answer the following question. Would a vertical line be a relation, a function, both a relation and a function, or neither a relation nor a function?
A.
both a relation and a function
B.
neither a relation nor a function
C.
function only
D.
relation only
Answer:
relation only
Step-by-step explanation:
The vertical line will be relation only.
What is a function?Function is a type of relation, or rule, that maps one input to specific single output.
In mathematics, a function is an expression, rule, or law that describes the relationship between one variable (the independent variable) and another variable.
In mathematics and the physical sciences, functions are indispensable for formulating physical relationships.
Noted that Linear function is a function whose graph is a straight line
We can conclude that vertical line would be relation only.
Learn more about function here:
https://brainly.com/question/2253924
#SPJ3
PLZ HELP
The coordinates of the vertices of quadrilateral ABCD are A(–5, –1), B(–1, –1), C(–1, 4), and D(–5, 6). The quadrilateral is reflected about the y-axis and the coordinates of A' are A'(5, –1).
Answer:
do u need other coordinates?
if so B'(1,-1)
C'(1,4)
D'(5,6)
the formula is (-x,y)
hope it helps :)
Answer: D is 5,6
Step-by-step explanation:
A new roller coaster is set to open at an amusement park. Due to the height and speed of the roller
coaster, you must be taller than 48 inches to ride.
PAG
Answer:
48cm<h
Step-by-step explanation:
Please help ASAP thank you
Susana has a budget for school stationery of $33, but has already spent 19.10 on books and folders. Let p represent the amount that Susana can spend on other stationery. Write an inequality that shows how much she can spend on other stationery, and solve for p.
Answer: $13.90
Step-by-step explanation:
Since Susana has a budget for school stationery of $33, but has already spent $19.10 on books and folders, the inequality that shows how much she can spend on other stationery, will be represented by:
p + $19.10 = $33
p = $33 - $19.10
The inequality is p = $33 - $19.10
Then, the amount that she can spend on other stationery will be:
P = $33 - $19.10
P = $13.90
She can spend $13.90 on other stationary
Please help me solve my problem!!!
Answer:
The answer is False.
Step-by-step explanation:
Cause consecutive angles for parallelogram are supplementary.
Through (1,0) slope = -1
Answer:
y = -1x+1
Step-by-step explanation:
The equation for a line in slope intercept form is
y = mx+b where m is the slope and b is the y intercept
y = -1x+b
Substitute in the point
0 = -1(1) +b
0 = -1+b
1 = b
The equation is
y = -1x+1
39.341 × 0.72 = _____
Answer:
28.32552
Step-by-step explanation:
39.331×0.72=28.32552
Find the equation of the line that passes through (–3, 2) and the intersection of the lines x–2y=0 and 3x+y+5=0.
I need the intersection point of the lines and the equation of the line.
Answer:
[tex]\frac{19}{7}[/tex]x+[tex]\frac{11}{7}[/tex]y+5=0
Step-by-step explanation:
the intersection of x-2y=0 and 3x+y+5 is ([tex]\frac{-10}{7}[/tex];[tex]\frac{-5}{7}[/tex])
=> the line : [tex]\frac{19}{7}[/tex]x+[tex]\frac{11}{7}[/tex]y+5=0
Answer:
[tex]Point \ of \ intersection = (\frac{-10}{7} , \frac{-5}{7})\\\\Equation \ of \ line : y = -\frac{19}{11}x - \frac{35}{11}[/tex]
Step-by-step explanation:
Find intersection of the given lines :
x - 2y = 0 => x = 2y ----------- ( 1 )
3x + y = - 5 -------------------- ( 2 )
Substitute ( 1 ) in ( 2 ) :
3x + y = - 5
3 ( 2y ) + y = - 5
6y + y = - 5
7y = - 5
[tex]y = -\frac{5}{7}[/tex]
Substitute y in ( 1 ) :
x = 2y
[tex]x = 2 \times \frac{-5}{7} = - \frac{10}{7}[/tex]
[tex]Therefore , \ point \ of \ intersection\ is ( -\frac{10}{7}, -\frac{5}{7} )[/tex]
To find the equation of the line passing through ( - 3, 2) and point of intersection :
Standard equation of a line : y = mx + b , where m is the slope, b is the y intercept.
So step 1 : Find slope , m:
[tex]slope, m = \frac{y_2 - y_1}{x_2 - x_1}[/tex] [tex][ \ where \ (x_1, y_ 1 ) = ( -3, 2 ) \ and \ (x_2, y_ 2 ) = ( \frac{-10}{7} , \frac{-5}{7}) \ ][/tex]
[tex]= \frac{\frac{-5}{7}-(2)}{\frac{-10}{7} - (-3)}\\\\= \frac{-5- 14}{-10 + 21}\\\\=\frac{-19}{11}\\\\=-\frac{19}{11}[/tex]
Step 2 : Equation of the line :
[tex](y - y _1) = m (x - x_1)\\[/tex]
[tex](y - 2 ) = -\frac{19}{11}(x -( -3))\\\\(y - 2 ) = -\frac{19}{11} (x+ 3)\\\\y = -\frac{19}{11} (x+ 3) + 2\\\\ y = -\frac{19}{11}x +(-\frac{19}{11} \times 3) + 2\\\\y= - \frac{19}[11}x +(\frac{-57}{11} + 2)\\\\y= - \frac{19}{11}x +(\frac{-57+ 22}{11})\\\\y= - \frac{19}{11}x +(\frac{-35}{11})\\\\[/tex]
hELPpppPpPP pLEAaSSEEseE
Please explain me briefly if you can!!
Answer:
[(x-y)(x²+xy+y²)] [(x+y)(x²-xy+y²)]
Step-by-step explanation:
x⁶-y⁶
(x³-y³)(x³+y³) difference and sum of two cubes
[(x-y)(x²+xy+y²)] [(x+y)(x²-xy+y²)]
rotation,
glide reflection,
reflection,
translation.
Answer:
it appears to have TRANSLATED
HELP PLEASE THIS IS IMPORTANT FOR MY CLASS!!1.what is the diameter in inches of a circle that has a circumference of 12 inches
Answer:
3.8 inches
Step-by-step explanation:
12 = 2 x 22/7 x r
84= 2 x 22 x r
42 = 22r
r = 1.9
2r = 3.8inches.
diameter is twice the radius
diameter = 3.8 inches
hope its right. good luck!
Please help me. I am confused, and I will give you anything you want. Just help me i swear I do anything. SOS. I just need one question to be answer
Emma and Zeke own an online business, EZ Coasters, that sells cork beverage coasters, which can be bought plain or with logos. The price for both types of coasters is $3.00 each. There is also a one-time set-up charge of $25 for coasters with a logo.
please answer the question by reading the text. also what is the relationship between
1) Write an equation describing the relationship between
Answer:
Step-by-step explanation:
P= plain coasters
L= logo coasters
3(P+L) +25 if they want to buy logo coasters or logo and plain coasters
3P if they want to buy plain coasters
no matter the amount of logo coasters there is a one time charge of $25
So we do not need to know how many with logo
The prize of both kind of coaster is $3
pls say the answers
i need this for my class activity
Answer:
i.c
ii.d
iiid
iv3
v180
Step-by-step explanation:
x is 60
Help help help need to bring my f up in math
Answer:
(4,20)
Step-by-step explanation:
The table shows the ordered pair (4, 16), meaning that (4, 20) wouldn't fit.
how do do this plz help
Answer:
okay for graphing first one start at zero go up five. then rise over run. so go up one and right four.
second one go down one. then down one right one
Cherries in cherry pie at Barnett's Bakery. 0-29 30-59 60-89- 90-119 129-149 How many cherry pies have 90 or more cherries?
Answer:
7 cherry pies
Step-by-step explanation:
the cherry pies that have 90 or more cherries =
4 + 3 = 7
Lateral area=
A)96 pie square units
B)24 pie square units
C)48 pie square units
Answer:
C)48 pi square units
Step-by-step explanation:
The lateral area is the area around the sides ( does not include the top or bottom)
LSA = 2pirh
= 2 pi(4) (6)
= 48 pi
The baker at The Bake Shop makes 24 muffins in 1 hour. How many muffins will the baker make in 5 hours?
97 muffins
100 muffins
101 muffins
120 muffins
what is the name of the shape made by the equation below?
r=2+2 sin(theta)
Answer:
cardioid
Step-by-step explanation:
r=2+2 sin(theta)
This is of the form
r =a+b theta
This is a limacon
When a = b, it is called a cardioid.
the histogram shows the result of survey asking students how many windows are in their homes how mnay studengs have less than 10 windows. I will mark Brainly help
Answer:
4 students
Step-by-step explanation:
Although I am not sure if I am completely correct. I’ll try my best.
We know:
The numbers 0-12 on the frequency table is the number of windows.
The numbers on the bottom is the amount of students.
-
What we can see:
As we can see..
the 0-4 section in the table shows that only 0-4 students have 9 windows. The 5-9 sections shows that only 5-9 students have 10 windows.The 10-14 sections shows that 10-14 students have 0 windows.The 15-19 sections shows that 15-19 students have 4 windows.The 20-24 sections shows that 20-24 students have 2 windows.-
Calculations:
Since the number of students that have the amount of windows less than 10 is 4 (0-4 section) and 0 (10-14 section)
Add.
4+0
= 4
Therefore, 4 students have less than 10 windows.
CAN SOMEONE PLEASE ANSWER THESE TWO QUESTIONS?! I NEED HELP!
Answer:
B ; A
Step-by-step explanation:
1) The first operation that we have to do is the division
2) we have to added up the the fishes
Surf Shack rents boards to beach goers. Each boogie board, b, rents for $5 per day and each surfboard, s, rents for $10 per day. On Tuesday, they rent out a total of 14 boards and have an income of $80. Write two equations relating boogie boards, b, and surfboards, s.
Answer:
b + s = 14
5b + 10s = 80
Step-by-step explanation:
Answer:
b + s = 14
$5b + $10s = $80
Step-by-step explanation:
the sum of boogie board and surfboard rented is 14
boogie board rented + surfboard rented = 14
b + s = 14 equation 1
total income derived from renting the two types of boards is $80
total income derived = total income derived from renting boogie boards + total income derived from renting surfboards
total income derived from renting boogie boards = cost of renting one boogie board x number of boogie boards rented
= $5 x b = 5b
total income derived from renting surfboards = cost of renting one surfboard x number of surfboards rented
= $10 x s = 10s
80 = 5b + 10s equation 2
Need help on this!! Will give 20 points!!!
Answer:
80 mm
Step-by-step explanation:
1/p + 1/20 = 1/16
Subtract 1/20 from both sides
1/p = 1/16 - 1/20
Use 160 as common denominator
1/p = 10/160 - 8/160
1/p = 2/160
1/p = 1/80
Cross multiply
80 = p
80 mm
Find the sum of the sequelle
Σ (k3 - 6)
k= 1
3
Σ (3-6) =
Answer:
[tex]\sum\limits^3_{k=1}(k^3 - 6) = 18[/tex]
Step-by-step explanation:
Given
[tex]\sum\limits^3_{k=1}(k^3 - 6)[/tex]
Required
Evaluate
This means that we substitute 1 to 3 for k.
So, we have:
[tex]\sum\limits^3_{k=1}(k^3 - 6) = (1^3 - 6)+(2^3 - 6)+(3^3 - 6)[/tex]
[tex]\sum\limits^3_{k=1}(k^3 - 6) = (1 - 6)+(8 - 6)+(27 - 6)[/tex]
[tex]\sum\limits^3_{k=1}(k^3 - 6) = -5+2+21[/tex]
[tex]\sum\limits^3_{k=1}(k^3 - 6) = 18[/tex]