what's the formula of
(a+b)³ = ?
Answer:
(a+b)³=a³+3a²b+3ab²+b³
Answer:
Step-by-step explanation:
Hello!
(a+b)(a+b)(a+b)
(a+b)(a+b) = a²+2ab + b²
(a²+2ab + b²) (a+b)=
a³ + a²b + 2a²b + 2ab² + ab² + b³ =
a³ + b³ + 2a²b + 2ab² + ab² + a²b
b - 8 = 9
---------------
Answer:
b-8=9
b=9+8
b=17
Step-by-step explanation:
hope it will help you mark me as a brilliant.
Answer:
b=17
Step-by-step explanation:
b-8=9
first isolate the variable by adding 8 to both sides
this gives us
b=17
I’m stuck somebody can help me
Answer:
26
Step-by-step explanation:
Answer:
26
Step-by-step explanation:
(g•h)(x) = 2(x²+4)
(g•h)(3)=2(3²+4)
=2(9+4)
=2(13)
=26
Jia baked two kinds of muffins. She baked 27 blueberry muffins. The number of cranberry muffins she baked is represented by the equation shown.
27 ÷ 3 = 9
Which statement accurately compares the number of blueberry muffins and the number of cranberry muffins?
Jia baked 3 times as many blueberry muffins as cranberry muffins.
Jia baked 9 times as many blueberry muffins as cranberry muffins.
Jia baked 3 times as many cranberry muffins as blueberry muffins.
Jia baked 9 times as many cranberry muffins as blueberry muffins.
Answer:
she baked 3 times as many cranberry than blueberry muffins
Step-by-step explanation:
i think that because 9×3=27
the amount of the cranberry muffins are 9
Sayad bought a watch and sold to Dakshes at 10% profit. Sayad again sold it to Sahayata for rs 6,050 at 10% profit. i)Find the cost price of Dakshes. ii) Find the cost price of Sayad.
Answer:
The cost price of Dakshes was $ 5,500, while the cost price of Sayad was $ 5,000.
Step-by-step explanation:
Given that Sayad bought a watch and sold to Dakshes at 10% profit, and Dakshes again sold it to Sahayata for $ 6,050 at 10% profit, to find the cost price of Dakshes and the cost price of Sayad the following calculations must be performed:
6,050 / 1.1 = X
5,500 = X
5,500 / 1.1 = X
5,000 = X
Therefore, the cost price of Dakshes was $ 5,500, while the cost price of Sayad was $ 5,000.
Divide. Write your answer as a fraction in simplest form. − 1/5÷20=
Answer:
-0.01
Step-by-step explanation:
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Answer:
-0.01
Step-by-step explanation:
Analyze the diagram below and complete the instructions that follow.
10
6
B.
'C С
8
Find sin ZA
A 3
5
B. 4
C 1
Answer:
B. 4/5
Step-by-step explanation:
Sin = Opposite/Hypotenuse
Sin∠A = 8/10 = 4/5
Find the missing side lengths. Leave your answers as radicals in the simplest form.
Answer:
x = 28, y = 14Step-by-step explanation:
Use the property of 30°-60°-90° right triangle.
The ratio of sides:
a : b : c = 1 : √3 : 2Compare with the given:
y : 14√3 : x = 1 : √3 : 2y = 14√3 / √3 = 14x = 2*14 = 28Apply the property of 30-90-60 angle
a:b:c=1:√3:2So
y=14√3/√3=14x=2(y)=2(14)=289.
A rocket is launched from the top of a 76-foot cliff with an initial velocity of 135 ft/s. a. Substitute the values into the vertical motion formula h = –16t2 + vt + c. Let h = 0. b. Use the quadratic formula to find out how long the rocket will take to hit the ground after it is launched. Round to the nearest tenth of a second.
A. 0 = –16t2 + 135t + 76; 0.5 s
B. 0 = –16t2 + 76t + 135; 9 s
C. 0 = –16t2 + 76t + 135; 0.5 s
D. 0 = –16t2 + 135t + 76; 9 s
Answer:
The answer is 2.)
Step-by-step explanation:
Given initial velocity=135 ft/s
& cliff=76 foot
Given quadratic equation
⇒ (let h=0 it is given)
⇒
⇒
⇒ t=8.96≈9 s (the other root is negative)
Hence, rocket will take 9 s to hit the ground after launched.
Answer: Choice D
0 = 16t^2 + 135t + 76; 9 s
==============================================
Explanation:
The equation we start with is
[tex]h = -16t^2 + vt + c\\\\[/tex]
where v is the starting or initial velocity, and c is the starting height.
We're told that v = 135 and c = 76
We let h = 0 to indicate when the object hits the ground, aka the height is 0 ft.
That means the equation updates to [tex]0 = -16t^2 + 135t + 76\\\\[/tex]
Based on that alone, the answer is between A or D
-------------------
We'll use the quadratic formula to solve for t
We have
a = -16b = 135c = 76So,
[tex]t = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\\\\t = \frac{-135 \pm \sqrt{135^2 - 4(-16)(76)}}{2(-16)}\\\\t = \frac{-135 \pm \sqrt{23,089}}{-32}\\\\t \approx \frac{-135 \pm 151.9506}{-32}\\\\t \approx \frac{-135 + 151.9506}{-32} \ \text{ or } \ t \approx \frac{-135 - 151.9506}{-32}\\\\t \approx \frac{16.9506}{-32} \ \text{ or } \ t \approx \frac{-286.9506}{-32}\\\\t \approx -0.52971 \ \text{ or } \ t \approx 8.96721\\\\[/tex]
We ignore the negative t value because a negative time duration makes no sense.
The only practical solution here is roughly 8.96721 which rounds to 9.0 or simply 9 when we round to the nearest tenth (one decimal place).
In short, the object will hit the ground at the 9 second mark roughly. Or put another way: the object is in the air for about 9 seconds.
From this, we can see that the final answer is choice D.
Keep in mind that we aren't accounting for any wind resistance. Considering this variable greatly complicates the problem and requires much higher level mathematics. So we just assume that there is no wind at this moment.
round 1.89 to one decimal place
Answer:
1.9
Step-by-step explanation:
You round when the numbers behind the decimal are 5 or greater. This being said, you need to round from the number furthest away from the decimal. In this case it would be 9. 9 is greater than 5 so we round 8 up to 9 and get rid of the number behind it. We are left with 1.9
Which set is of whole numbers but not natural numbers?
Step-by-step explanation:
The set of Natural numbers: {1, 2, 3, 4, 5, ...}
The set of Whole numbers: {0, 1, 2, 3, 4, 5, ...} ← it has the number 0
If the areas of two similar triangles are equal, prove that they are congruent
Refer the attached image for the answer
HOPE SO IT HELPS YOU
pls halp ////////////////
Answer:
9x^2 + 2x - 5
Step-by-step explanation:
7x^2 - 5x + 3
2x^2 + 7x - 8
__________
9x^2 + 2x - 5
Option B is the correct answer.
sentence
After several days of drilling, a water well is 80
meters deep. The well is being drilled at a rate of
20 meters per day.
How many more days will it take to reach a total
depth of 180 meters?
Answer:
it will take 5days to reach a total of 180meters
Step-by-step explanation:
80m+20+20+20+20+20
=180meters
=5days
Rachel covered a single lap of 1,210 m in 55 s. Calculate her speed in m/s
Answer:
22 m/s
Step-by-step explanation:
Take the distance and divide by the time
1210 m/55s
22 m/s
Answer:
22m/sStep-by-step explanation:
[tex]speed = \frac{distantce}{time} \\ = \frac{1210m}{55s} \\ = 22m {s}^{ - 1} [/tex]
what is the commutative property for 4xy
PLEASE ANSWER QUICKLY
Answer:
[tex]we \: know \: that \: commutative \: prop \\ = x + y = y + x \\ then \\ 4xy + 0 = 0 + 4xy \\ thank \: you[/tex]
I need help with this question
Answer:
m
Step-by-step explanation:
find the value of a and b if [tex]5+√3/7+2√3=a-b√3[/tex]
Answer:
The values of [tex]a[/tex] and [tex]b[/tex] are [tex]5[/tex] and [tex]-\frac{15}{7}[/tex], respectively.
Step-by-step explanation:
There are mistakes in the statement, correct form is presented below:
[tex]5+\frac{\sqrt{3}}{7} + 2\sqrt{3} = a - b\cdot \sqrt{3}[/tex].
By direct comparison we have the following system of equations:
[tex]a = 5[/tex] (1)
[tex]\frac{\sqrt{3}}{7}+2\sqrt{3} = -b\cdot \sqrt{3}[/tex] (2)
In (2) we solve for [tex]b[/tex]:
[tex]\left(\frac{1}{7}+2 \right)\cdot \sqrt{3} = -b\cdot \sqrt{3}[/tex]
[tex]b = -\frac{15}{7}[/tex]
The values of [tex]a[/tex] and [tex]b[/tex] are [tex]5[/tex] and [tex]-\frac{15}{7}[/tex], respectively.
please help, will give brainliest!!!
Answer:
Find the domain by finding where the equation is defined.
Interval Notation:
(−∞,−4)∪(−4,7)∪(7,∞)
Set-Builder Notation:
{x|x≠−4,7}
Step-by-step explanation:
Answer:
all real numbers except x=-4 or x = 7
Step-by-step explanation:
The domain is the numbers that x can take
We have restrictions for this problem
the denominator cannot be zero
x^2 -3x-28 cannot be zero
(x-7)(x+4) ≠ 0
x-7≠0 x+4≠0
x≠7 x≠-4
Otherwise all real numbers are valid
Solve BCD. Round the answers to the nearest hundredth, if necessary.
Answer:
B
Step-by-step explanation:
here we use trigonometric ratio involving soh,cah,toa
Identify a transformation of the function f(x)
x2 by observing the equation of the function g(x) = (x - 6)^2
Answer:
2nd option
Step-by-step explanation:
Given f(x) then f(x + a) is a horizontal translation of f(x)
• If a > 0 then a shift left of a units
• If a < 0 then a shift right of a units
Here g(x) = (x - 6)²
The base graph has been shifted right 6 units
Each side of a pentagon is 10 cm greater than the previous side. If the perimeter of this pentagon is 500 cm, find the lengths of the sides.
Answer:
(I'll leave cm out to save space and time in the answer)
the perimeter is 500, there are 5 sides. so on average a side will be 100.
that's already the important key idea.
it's indeed 100 for the third side, the second will be 10 less, the fourth 10 more (making the 2and and the 4th side 200 in sum, and therefore still 100 on average).
repeat this for the 1. and 5. side and we get:
80
90
100
110
120
10700 by 100 + 5192by 1000 - 412
Answer:
the answer is -299.808 well that's what I think it's
Answer:
-299.808
Step-by-step explanation:
= 10700/100 + 5192/100 - 412
= 107 + 5.192 - 412
= -299.808
PLEASE PLEASE PLEASE PLEASE HELPME I *REALLY* NEED HELP!!!
(ALL LINKS WILL BE REPORTED)
Which of the following pairs of triangles can be proven similar through SSS similarity? PHOTO ATTACHED :))
Answer:
A
Step-by-step explanation:
since there are 3 corresponding sides shown, the SSS similarity theorem can be utilized.
paul leaves for school at 7:25 am he returned home at 3:15 pm how long was paul away from home?
Answer:
8 hours 10 minutes
I hope this answers your question
Answer: paul has been away from home for 7 hours and 50 minutes.
Step-by-step explanation:
Find the slope of the line that passes through (26, 15) and (1, 86).
Answer:
-71/25
Step-by-step explanation:
We can use the slope formula when given two points
m = (y2-y1)/(x2-x1)
m = (86-15)/(1 -26)
= 71/-25
= -71/25
Answer:
[tex]\displaystyle m = \frac{-71}{25}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]Step-by-step explanation:
Step 1: Define
Identify
Point (26, 15)
Point (1, 86)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{86 - 15}{1 - 26}[/tex]Subtract: [tex]\displaystyle m = \frac{71}{-25}[/tex]in the first quarter austin played for 4 minutes and 30 seconds. wyatt played for 310 seconds who had more playing time
Answer:
wyatt
Step-by-step explanation:
4:30 mins is 270 seconds
URGENT+Brainliest. Convert r=2sin(2theta) into rectangular cords.
Answer:
try 14n
Step-by-step explanation:
Answer:
[tex]r \: = 2sin2 \theta \\ = > r = 2.2sin\theta.cos\theta \\ = > r = 4sin\theta.cos\theta \: \\ \\ \sf \: we \: know \: that \: \\ x = r \: cos\theta \: \therefore \: cos\theta = \frac{x}{r} \\ \\ y = r \: sin\theta \: \therefore \: sin\theta = \frac{y}{r} \\ \\ \sf \: now \\ \\ r = 4 \times \frac{y}{r} \times \frac{x}{r} \\ = > {r}^{3 } = 4xy \\ \\ \sf \: again \: \: r = \sqrt{ {x}^{2} + {y}^{2} } \\ \\ = > {( \sqrt{ {x}^{2} + {y}^{2} } })^{3} = 4xy \\ = > {( {x}^{2} + {y}^{2} })^{ \frac{3}{2} } = 4xy \\ = > {( {x}^{2} + {y}^{2} })^{3} = 16 {x}^{2} {y}^{2} [/tex]
Please mark me as Brainliest
I really really need help with this
Answer:
c) 21
Step-by-step explanation:
[tex] \sqrt{169} + \sqrt{64} [/tex]
13+8
answer is 21
BRAINLEST IF CORRECT!!!!!!!
Answer:[tex]\huge \boxed{x=180-26-90=64}[/tex]
Step-by-step explanation:
Answer:
Step-by-step explanation:
You have the angels 180, 26, 90(right angle) and x. So when you add them all up you should get 360 because there aren’t two straight lines. Only line makes a 180 angle. So...
180 + 26 + 90 + x = 360
296 + x = 360
x = 360 - 296
x = 64