[tex]c. \: (2x + y)(4 {x}^{2} - 2xy + {y}^{2} )[/tex] ✅
[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]
[tex](a + b)( {a}^{2} - ab + {b}^{2} )[/tex]
Substituting the values of "a = 2x" and ''b = y" in the expression, we have
[tex](2x + y)[( 2{x})^{2} - 2xy + {y}^{2} ] \\ = (2x + y)(4 {x}^{2} - 2xy + {y}^{2} )[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{.}}}}}[/tex]
The product that Tomas should choose should be (2x +y)(4x^2 – 2xy + y^2)
Sum of the cube of valuesGiven the sum of cubes expressd as:
a^3 + b^3 = (a + b)(a^2 – ab + b^2)
Given the following parametrs
a = 2x
b = y
Substitute this values into the formula
a^3 + b^3 = (2x + y)((2x)^2 – 2xy + y^2)
a^3 + b^3 = (2x +y)(4x^2 – 2xy + y^2)
Hence the product that Tomas should choose should be (2x +y)(4x^2 – 2xy + y^2)
Learn more on sum of cubes here: https://brainly.com/question/26726803
in a model of a ship the most in 9 cm high while the most of actual shift is 12 metre height if the length of the ship is 28 how long is model ship
Answer:
21cm
Step-by-step explanation:
A scale drawing is a reduced form in terms of dimensions of an original image / building / object
the scale drawing is usually reduced at a constant dimension
scale of the drawing = original dimensions / dimensions of the scale drawing
12/9 = 1.333333
1 : 1.3333333
length of model sheep = 28 / 1.333333 = 21cm
SS below of my question
Answer:
its blurry
Step-by-step explanation:
Answer:
arccos(.34) = 70.12 ≈ 70
Step-by-step explanation:
Find BC
Round to the nearest tenth.
7
140°
B
13
Answer:
The answer is
Step-by-step explanation:
This is from khan academy. so You need to watch a video on khan academy to get help.
can someone please help me with this? PLEASE I'm so confused.
==================================================
Explanation:
Let's say we had the slots A,B,C,D,E,F. Each slot represents where a flower would go.
For slot A, we have 15 different flowers to pick from.
Then slot B has 15-1 = 14 choices
C has 15-2 = 13 choices
and so on. We count our way down until we fill up slot F.
The count down looks like this: 15, 14, 13, 12, 11, 10
Multiply out those values: 15*14*13*12*11*10 = 3,603,600
If order mattered, then this represents the number of ways to select 6 flowers from a pool of 15 total.
However, order does not matter in this case. All that matters is the group overall.
For any group of 6 items, we have 6! = 6*5*4*3*2*1 = 720 different arrangements. That means the value 3,603,600 is too large exactly by a factor of 720.
We divide by 720 to get to (3,603,600)/720 = 5005 which is the final answer
It's the number of combinations where we select 6 from a pool of 15.
-------------------------------
As you can guess, you could use the nCr combination formula as an alternative route. Plug in n = 15 and r = 6 like so
[tex]_n C _r = \frac{n!}{r!*(n-r)!}\\\\_{15} C _{6} = \frac{15!}{6!*(15-6)!}\\\\_{15} C _{6} = \frac{15!}{6!*9!}\\\\_{15} C _{6} = \frac{15*14*13*12*11*10*9!}{6!*9!}\\\\_{15} C _{6} = \frac{15*14*13*12*11*10}{6!}\\\\_{15} C _{6} = \frac{15*14*13*12*11*10}{6*5*4*3*2*1}\\\\_{15} C _{6} = \frac{3,603,600}{720}\\\\_{15} C _{6} = 5005\\\\[/tex]
In the third to last step, notice how we have the 15*14*13*12*11*10 up top and 6*5*4*3*2*1 down below.
This value 5005 can be found in Pascal's Triangle. Look in the row that has 1, 15, ... and count out 7 spaces from the left. You should arrive at 5005. However, you'll need a fairly large Pascal's Triangle to use this method.
Given:
Total number of flower cuts = 15 different flowers
Number of flowers Jeanine Baker wants to use = 6 flowers
To find:
Total number of ways 6 flowers can be chosen
Steps:
In this question, we need to find the total number of outcomes of choosing 6 random flowers from a total of 15 flowers
Let's give each flowers a letter, so there will be A, B, C, D, E, F, G, H, I, J, K, L, M, N and O.
Now let's find all the outcomes
Outcomes= ABCDEF, ABCDEG, ABCDEH, ABCDEI, ABCDEJ, ABCDEK, ABCDEL, ABCDEM, ABCDEN, ABCDEO.....
This method will take a lot of time so, i am going to use the formula
[tex]No.outcomes = \frac{n!}{r!(n-r)!}[/tex]
Here n = total number of items, and r = number of items chosen
Also the '!' means factorial, or the product of all positive numbers less then or equal to the number, so n! = n * (n-1) * (n-2) ..... * 1
So, now substituting the formula
[tex]No.outcomes = \frac{15!}{6! * (n-r)!}[/tex]
[tex]No.outcomes=\frac{15!}{6! * 9!}[/tex]
[tex]No.outcomes = \frac{15*14*13*12*11*10*9*8*7*6*5*4*3*2*1}{6*5*4*3*2*1*9*8*7*6*5*4*3*2*1}[/tex]
[tex]No.outcomes=\frac{15*14*13*12*11*10}{6*5*4*3*2*1}[/tex] (cutting same numbers)
[tex]No.outcomes = \frac{7*13*3*11*10}{6}[/tex] (simplifying)
[tex]No.outcomes = \frac{30030}{6}[/tex]
[tex]No.outcomes=5005[/tex]
Therefore, the total number of ways the 6 flowers can be chosen is 5005 ways
Happy to help :)
If u need help in this topic feel free to ask
Solve the equation for l.
2l+2w+5=P
Bab needs help please!
hi im so sorry i can not help yo with this question hopefully someone else is smart enough to help u i wish u the best im so so so o so so so sorry sorry sorry sorry sorry sorry Step-by-step explanation:
What is the value of y?
A.25 B.35 C.100 D.50
Answer:
B. 35
That is the answer
Hope it helps
PLSSS HELPPPPPPPP I NEEEED AN ANSWERRRRRR
Answer:
x=62
Step-by-step explanation:
The sum of x ,28, and 90 is 180 since it forms a straight line
x+28+90 = 180
Combine like terms
x+118 =180
Subtract 118 from each side
x+118-118 =180-118
x= 62
Answer:
Step-by-step explanation
x+28=90 degree(being perpendicular)
x=90-28
x=62
HELPP MEE PLEASE! I NEED HELPASAP PLEASE
Answer:
there is no image cannot help
Answer:
what do you need help with?
Brad wants to buy flowers for his friend
with $33. The daisies are $1 each and
the roses are $2 each. He buys 3 more
daisies than roses.
How much did the roses cost?
Someone help out with this
Answer:
k <= 11
Step-by-step explanation:
8+k <= -3
k <= -3 -8
k <= 11
(x^2+3) - [3x+(8-x^2) ]
[tex]2 {x}^{2} - 3x - 5[/tex] ✅
Step-by-step explanation:
[tex]( {x}^{2} + 3) - [3x + (8 - {x}^{2} )] \\ = {x}^{2} +3 - [3x + 8 - {x}^{2} ] \\ = {x}^{2} + 3 - 3x - 8 + {x}^{2} \\ = 2 {x}^{2} - 3x - 5[/tex]
[tex]\large\mathfrak{{\pmb{\underline{\orange{Happy\:learning }}{\orange{!}}}}}[/tex]
Which polynomial is factored completely?
Answer: fourth answer
Step-by-step explanation:
you cant factor it
Are 6:5 And 17:5 equivalent
Answer:
no
Step-by-step explanation:
Answer:
No
Step-by-step explanation:
Finding simple interest without a calculator
Diane deposits $800 into an account that pays simple interest at a rate of 5% per year. How much interest will she be paid in the first 3 years
Answer: you answer is 120.
Step-by-step explanation: all you have to do is multyply 800*.15 because that is how much present it is.
please mark me brainiest
I = prt
I= 800×0.05×3= 120
Answer- 120 $
The cost of 12 shirts is 84 find the cost of 6 shirts
Answer:
ok so 6 is half of 12 so we have to find half or 84 which is
42
Hope This Helps!!!
Answer: The answer is 42.
84/2= 42. May I have the brainiest?
A pharmaceutical company interviews 12 people for eight openings in the research department of the company. 7 of the 12 people are women. If all 12 are qualified, in how many ways can the employer fill the 8 positions if
(a) the selection is random
(b) exactly three selections are men?
plz help ASAP... I'll mark you as the brainliest!
Answer:
(a) 495, (b) 210
Step-by-step explanation:
Total number of persons = 12
number of openings = 8
number of women = 7
number of men = 12 - 7 = 5
(a) Number of ways to select the 8 persons
[tex]C_{8}^{12}\textrm{}\\\\= \frac{12!}{8!\times 4!}\\\\=495[/tex]
(b) Three are men
So, 3 men and 5 women
The number of ways are
[tex]C_{3}^{5}\textrm{} \times C_{5}^{7}\textrm{}\\\\= \frac{5!}{3!\times 2!}\times \frac{7!}{5!\times 2!}\\\\=210[/tex]
Two containers designed to hold water are side by side, both in the shape of a
cylinder. Container A has a diameter of 4 feet and a height of 13 feet. Container B has
a diameter of 6 feet and a height of 8 feet. Container A is full of water and the water is
pumped into Container B until Container A is empty.
After the pumping is complete, what is the volume of the empty portion of Container
B, to the nearest tenth of a cubic foot?
Answer:
hope you don't mind but im using this for points
I NEED HELP ASAP!What is the area of the triangle shown below? 10 10 12
Answer:
[tex]h^2+6^2=10^2[/tex]
[tex]h^2+36=100[/tex]
[tex]h^2=100-36[/tex]
[tex]h^2=64[/tex]
[tex]h=8[/tex]
[tex]A=1/2 ~BH[/tex]
[tex]A=1/2(12)(8)[/tex]
[tex]A=48 ~units^2[/tex]
-----------------------
hope it helps...
have a great day!!
Answer: 48 square units
=============================================================
Explanation:
Draw a vertical line to cut the triangle into two equal parts. You'll get two right triangles.
The horizontal leg of one of those smaller triangles is 12/2 = 6 units. The hypotenuse is 10 units. Through the pythagorean theorem, you should find the vertical leg is 8 units.
We have a 6-8-10 right triangle.
The area of this smaller triangle is base*height/2 = 6*8/2 = 48/2 = 24 square units.
So the area of the larger triangle is 2*24 = 48 square units.
i need help 2(4+2x)≥5x+5
Answer:
x ≤ 3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightDistributive Property
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsStep-by-step explanation:
Step 1: Define
Identify
2(4 + 2x) ≥ 5x + 5
Step 2: Solve for x
[Distributive Property] Distribute 2: 8 + 4x ≥ 5x + 5[Subtraction Property of Equality] Subtract 5x on both sides: 8 - x ≥ 5[Subtraction Property of Equality] Subtract 8 on both sides: -x ≥ -3[Division Property of Equality] Divide -1 on both sides: x ≤ 3Select the correct answer.
which point is a reflection of 2 (52, 3)
across the x-axis?
87-y
7
6
5
4
4.
.
3
N
Point C is the reflection.
Hi answeeeer and no links
What is 3,700,000 in scientific notation??
=========================================================
Explanation:
Place a decimal point between the first two digits 3 and 7.
Now ask yourself how you can go from 3.7 back to the original value. Notice we can move the decimal point 6 spots to the right to go from 3.7 back to 3,700,000
Therefore, the exponent over the 10 is 6. The exponent is positive to mean we move the decimal point to the right. If we had a negative exponent, then we'd move left.
You can use a calculator to confirm that 3.7 * 10^6 = 3,700,000
--------------
Side notes:
3,700,000 = 3 million, 7 hundred thousand
3,700,000 = 3.7 million
The area of the triangle below is 4.5 square inches. What is the length of the base?
Answer:
Can you please send the length of the height if possible.
Step-by-step explanation:
Also the the formula to solve this is the exact opposite of Area= base times height divided by 2.
first step you need to do is multiply 4.5 by 2 to get 9. then you have to divide 9 by the height. Then you will get the value of the height. Hope you understood!
Answer: 3
Step-by-step explanation: 3
A line has a slope of
3/2
and a y-intercept of
4/5
Which of the following is an equation of the line?
9514 1404 393
Answer:
(d) 15x -10y = -8
Step-by-step explanation:
Using the given values for slope (m) and y-intercept (b), the slope-intercept form of the equation is ...
y = mx + b
y = 3/2x +4/5
Multiplying both sides by 10 gives ...
10y = 15x +8
Subtracting 10y+8 from both sides, we have ...
-8 = 15x -10y
In standard form, this is ...
15x -10y = -8
The girls in Lana’s troop set a goal to sell 1,000 boxes of cookies this year. There are 13 girls in the troop. At least how many boxes of cookies should each girl sell to reach their goal?
Answer:
77 boxes
Step-by-step explanation:
Step 1:
Lana's troop must sell 1000 boxes of cookies, but there are 13 girls in total. Supposing that each girl will sell an equal amount of boxes, we can simply divide:
[tex]1000[/tex]÷[tex]13\approx76.92[/tex] boxes.
Step 2:
However, it would seem unlikely that the girls would decide to sell fractions of a box of cookies. We should round...up or down?
If we round down, each girl will sell 76 boxes of cookies. Hmm... then they would'nt be able to sell a total of 1000 boxes of cookies! We need to round up.
Therefore, each girl should sell at least [tex]\fbox{77}[/tex] boxes.
I hope this helps! Let me know if you have any questions :)
Find the measure Of K
Answer:
K = 10
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp/ hyp
sin K = 11 / 61
Taking the inverse sin of each side
sin ^-1 ( sin K) = sin ^-1 (11/61)
K =10.38885782
K = 10
Help please will be marked as brainliest if correct
Answer:
12.95
Step-by-step explanation:
1. 173.43
2. 325.54
3. 0.6794
4. 76.45
Unlock number: 12.95
Answer:
173.43
325.54
.6794
76.45
Step-by-step explanation:
4feet times 15inches
Round to the nearest foot.
Answer:
11 or exact is 10.8 ft.
Step-by-step explanation:
we do 2.7*4 to find the length of the actual car
since 1 inch is 4 feet in real life.
2.7 would be 2.7*4 feet in real life
2.7*4 = 10.8 which is rounded to the nearest foot, 11.
Answer:
10.8
Step-by-step explanation:
model: real life
1 inch : 4 ft
The model is 2.7 inches
Multiply by 2.7 inches
model: real life
1 *2.7 : 4 *2.7
2.7 in : 10.8 ft