Step-by-step explanation:
[tex] {a}^{3} + {a}^{2} b + a {b}^{2} [/tex]
[Taking a common from each term]
[tex] = a( {a}^{2} + ab + {b}^{2} )[/tex]
[tex]as \: {a}^{2} + ab + {b}^{2} = {(a + b)}^{2} [/tex]
Hence,
[tex] = a {(a + b)}^{2} (ans)[/tex]
the elevator at an old hotel has a weight limit of 1200 pounds. Assume the average person weighs 150 pounds and has a 10 pound luggage. What is the greatest amount of people that can ride the elevator at the same time
A: 7 people
B: 9 people
C: 11 people
D: 13 people
Sawyer was last year's PI Day
champion. He is feeling
confident this year with his
chocolate silk ple. One recipe
calls for 16.8 grams of semi
sweet chocolate. Sawyer only
uses premium. Imported Belgian
chocolate, so each gram costs
him $472. How much did he pay
for the chocolate? Round to the
nearest hundredth If
necessary
can I get help pls :')
Answer:
1.a: 6x = y
1.b: 7 packs
Step-by-step explanation:
1.a: there are 6 cups per can so if you multiply it for each can, you get the cups.
1.b: there are 16 cups per gallon. Packs of 4 cans so in total, there are 24 cups in total. So there are 1.5 gallons per pack. 1.5x6 = 90 so that's no enough. 1.5x7 = 10.5. That's more than enough but she can't split the pack so she needs to buy 7 packs.
Distribute
(x+4)(x-6)
a) x^2-2x-24
b) x^2-10x+24
c) x^2+10x+24
d) x^2-10x-24
Answer:
A) x² - 2x - 24
Step-by-step explanation:
(x+4)(x-6)
x² - 6x + 4x - 24
x² - 2x - 24
Work out the volume of this cylinder? 12m height and 5m radius
Answer:
942m³
Step-by-step explanation:
π×radius²×height
π×5²×12=942.4777961m²
to 3sf it's
942m³
3 significant figures is 3 numbers.
Question :-
What is the volume of a cylinder with a radius of 5 m and a height of 12 m?Answer :-
The volume of a cylinder is 942 m³.[tex] \rule{180pt}{4pt}[/tex]
Diagram :-
[tex]\setlength{\unitlength}{1mm}\begin{picture}(5,5)\thicklines\multiput(-0.5,-1)(26,0){2}{\line(0,1){40}}\multiput(12.5,-1)(0,3.2){13}{\line(0,1){1.6}}\multiput(12.5,-1)(0,40){2}{\multiput(0,0)(2,0){7}{\line(1,0){1}}}\multiput(0,0)(0,40){2}{\qbezier(1,0)(12,3)(24,0)\qbezier(1,0)(-2,-1)(1,-2)\qbezier(24,0)(27,-1)(24,-2)\qbezier(1,-2)(12,-5)(24,-2)}\multiput(18,2)(0,32){2}{\sf{5 \: m}}\put(9,17.5){\sf{12 \: m}}\end{picture}[/tex]
Solution :-
As per provided information in the given question, we have been given that the Radius of a cylinder is 5 meters. The height of a cylinder is 12 meters. We have been asked to find the volume of a cylinder.
To calculate the volume of a cylinder, we will apply the formula below :-
[tex] \bigstar \: \: \: \boxed{ \sf{ \: \: Volume_{(Cylinder)} = \pi r^2 h \: \: }}[/tex]
Substitute the given values into the above formula and solve for Volume :-
[tex]\sf:\implies Volume_{(Cylinder)} = \pi r^2 h[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(5 \: m)^2(12 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (3.14)(25 \:m^2)(12 \: m)[/tex]
[tex]\sf:\implies Volume_{(Cylinder)} = (78.5 \:m^2)(12 \:m)[/tex]
[tex]\sf:\implies\bold{Volume_{(Cylinder)} = 942 \: m^3}[/tex]
Therefore :-
The volume of a cylinder is 942 m³.[tex]\\[/tex]
Learn more about the Volume of a Cylinder at https://brainly.com/question/15197979
Have a great day! <33
Solve the equation. -3x+2x=8
Answer:
= − 8
Step-by-step explanation:
Combine like terms
Divide both sides of the equation by the same term
Simplify
Write the quadratic function 5x2 - 40x + 60 in its vertex form by completing the square. Then
identify its turning point.
9514 1404 393
Answer:
5(x -4)² -20turning point = (4, -20)Step-by-step explanation:
It can work well to factor the leading coefficient from the x-terms.
5(x² -8x) +60
Now, add the square of half the x-coefficient inside parentheses, and subtract the same amount outside parentheses.
5(x² -8x +16) +60 -(5)(16)
5(x -4)² -20 . . . . write as a square, simplify the added constant
The vertex form is ...
5(x -4)² -20
It shows you the vertex is (4, -20). This is the turning point.
_____
Vertex form is a(x -h)² +k, where (h, k) is the vertex.
Miles read 4 books in the first half of March. By the end of March, the library had added Miles to the top-readers board for reading more than 10 books in a month.Let x represent how many books Miles read in the second half of March. Which inequality describes the problem?
Answer:
[tex]x>6[/tex]
Here, [tex]x[/tex] denotes number of books read by Miles in the second half of March
Step-by-step explanation:
Given: Miles read 4 books in the first half of March.
Also, Miles read more than 10 books in a month.
[tex]x[/tex] denotes number of books read by Miles in the second half of March.
To find: inequality that describes the problem.
Solution:
Total number of books read in month of March = Number of books read by Miles in the first half of March + Number of books read by Miles in the second half of March = [tex]4+x[/tex]
Also, Miles read more than 10 books in a month.
Therefore,
[tex]4+x>10\\x>10-4\\x>6[/tex]
Need help with answers
if 2 binders of the same size take up 3 inches on the shelf how much space will be needed for 28 of these binders?
Answer:
84
Step-by-step explanation:
28x3=84
I hope i did that right
please give me Brainliest you dont have to tho
mr.wilkinson pours 2 cups of blue paint into a jar for each art station. How many jars can he fill with 1 gallon of blue paint
Answer:1 jar = 2 × 8 = 16 ounces. So, number of jars required to fill 1 gallon of blue paint is : Therefore, 8 jars are required to fill 1 gallon of blue paint.
Please help me please please
What is the value of f(-3) when f(x)=5(2)
Answer:
a) 5/8
Step-by-step explanation:
f(-3) when f(x)=5(2)^x just replace the x with -3
f(x)=5(2)^x = 5 (2)^-3 we find the 3rd power of 2 first which means multiply 2 with itself 3 times
2×2×2 = 8 but here, it asks us for negative third power of 2 so we turn the 8 upside down :
if 2^3 = 8 then 2^-3 = 1/8 and now we multiply it with 5
5 × 1/8 = 5/8
If 20 articles cost ? 90, then the cost of 9 articles is ?
Answer:
40.50
Step-by-step explanation:
1. 90 ÷ 20 = 4.50
2. 4.50 × 9 = 40.50
Solve for c, giving brainliest. please show your work/explain, i got to the point of square rooting 185, but i don't understand where to go from there if it cannot be simplified. Thanks.
Answer:
13.6 in (mrs clark)
Step-by-step explanation:
a²+b²=c²
16 + 169 = c²
c² = 185
c ≈ 13.6
helpppppppppp plzzzzzzz due in 20 min
Answer:
A. [tex]3<\sqrt{15} <4[/tex]
Step-by-step explanation:
First we need to know what [tex]\sqrt{15}[/tex] equals.
It equals around 3.87, which is more than 3 and less than 4.
Answer: It might be "A" i dont know.
Which equation is this model?
What is 1/2 to the power of 5??
Answer:
1/32
Step-by-step explanation:
A cake has two layers. Each layer
is a regular hexagonal prism. A slice removes one face of
each prism, as shown.
a. What is the volume of the slice?
b. What is the volume of the remaining cake?
Answer:
Volume of slice is 40 in³
Volume of the remaining cake is 197.014 in³
Step-by-step explanation:
hope this helps!!
brainliest please?
2/3(x - 6)=6 what is the value of x?
Answer:
15
Step-by-step explanation:
Last question on my assignment need help. Find x.
Answer:
I think it would be 20 hope it helps and good luck
Step-by-step explanation:
Answer:
i think its at 21
Step-by-step explanation:
Subject:Mathematics
Answer:
true sorry if wrong im not the best at this type of math but im average
Step-by-step explanation:
What are the x-intercepts of the quadratic function? f(x)=x^2+6x−27 Enter your answers in the boxes. _ and _
Answer:
(3,0) and (-9,0)
Step-by-step explanation:
Are two congruent figures similar?Explain
Answer:
Ye cs they're both cong.
Step-by-step explanation:
Answer:
Which figures
Step-by-step explanation:
Please help me answer this
Answer:
Your answer would have to be Graph A
Step-by-step explanation:
Because it's properly set up
Ten students each attempted 10 free throws. This list shows how many free throws each student made. 8 5 6 6 4 9 7 6 5 9 What is the median number of free throws made?
Answer:
six 6 is the median number i think
Step-by-step explanation:
I NEED HELP ASAP 50 POINTS!!!
Write the polynomial in standard form. Then name the polynomial based on its degree and number of terms. x + 7 – 4x^3
Answer:
Step-by-step explanation:
Standard form: -4x³ + x + 7
Name of the polynomial:
Based on number of terms: 3 terms are there.
Trinomial
Based on degree:
Degree of the polynomial is 3
Cubic polynomial
7a + b - 12 wich is the coefficient?
FIND THE AREA (LEAVE EXPLANATION)
Answer:
20 yd²
Step-by-step explanation:
lets do the big one
4 x (6-2) = 4 x 4 = 16 yd²
2 x (4-2) = 2x2 = 4 yd²
16 yd² + 4 yd² = 20 yd²
Another way
Find the area of the figure if it was a rectangle
4 x 6 = 24 yd²
then subtract 2 x 2 = 24 yd² - 4 yd² = 20 yd²
Answer:
20
Step-by-step explanation:
Solve the area of the squares separately, then add. the small square has a length and width of 2, and 2x2 is 4, so that area is 4. the bigger one has a length and width of 4, and 4x4 is 16, and then we add the two values together, and 16+4 is 20, so the total area is 20.
2 quarts of paint equally into 6 containers how much paint in quarts into each container written as a fraction
Answer:
0.333 or 1/3
Step-by-step explanation:
2/6 = 0.333 = 1/3