Step-by-step explanation:
(a+b)³=a³+3a²b+3ab²+b³
hope it is helpful to you
Answer:
[tex]\huge\boxed{Answer\hookleftarrow}[/tex]
[tex](a + b) {}^{3} \\ = (a + b) \times (a + b) {}^{2} \\ = (a + b)(a {}^{2} + 2ab + b {}^{2} ) \\ = a(a {}^{2} + 2ab + b {}^{2} ) + b(a {}^{2} + 2ab + b {}^{2} ) \\ = a {}^{3} + 2a {}^{2} b + ab {}^{2} + ba {}^{2} + 2ab {}^{2} + b {}^{3} \\ = a {}^{3} + 3a {}^{2} b + 3ab {}^{2} + b {}^{3} [/tex]
✐ (a + b)³ = a³ + 3a²b + 3ab² + b³
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ
# ꧁❣ RainbowSalt2²2² ࿐
Evaluate Expression
Answer:
72
Step-by-step explanation:
a-3(b) where a=6 and b=-4
6-3(-4)
6(12)
= 72
ASAP PLEASE ‼️‼️❗️‼️‼️❗️
A group of 25 people are going to run a race. The top 12 finishes advance to the finals. find the of possibilities.
Answer:
I dont know what thats asking
Step-by-step explanation:
The linear model d = 0.15+.35t represents the data found for the dive of a local swim team where t represents the duration of the dive in seconds and d is the depth of the dive in feet.
What does the slope represent?
A
That if the dive was increased by 1 second, the depth would increase by about .15 feet.
B
That if the dive was increased by 1 second, the depth would increase by about .35 feet.
C
That if the dive was increased by .15 seconds, the depth would increase by about 1 foot.
D
That if the dive was increased by 35 seconds, the depth would increase by about 1 foot.
Answer:
B That if the dive was increased by 1 second, the depth would increase by about .35 feet.
Step-by-step explanation:
The coefficient of the variable represents the rate of change
Which is the inverse of the difference of 1/3-1/4?
A.0/1
B.1/12
C.7/12
D.12/1
Answer:o/1
Step-by-step explanation:
HELPPP PLEASE
Also I used line A as a place holder I don’t know if it’s right
Answer:
Line A is the right answer.
Answer:
a is right linear means straight line
Step-by-step explanation:
Suppose that AKL M is isosceles with base MK.
Suppose also that m 2 M= (3x+36) and m 2 K = (4x +31)
Find the degree measure of each angle in the triangle.
m ZK = 0
m 2L =
m ZM =
MA
K
(3x +36)
(4x +31).
Х
Answer:
m<K = 51°
m<L = 78°
m<M = 51°
Step-by-step explanation:
Base angles of an isosceles ∆ are equal to each other, therefore,
m<M = m<K
Substitute
3x + 36 = 4x + 31
Collect like terms and solve for x
3x - 4x = -36 + 31
-x = -5
Divide both sides by -1
x = 5
Let's find each degree measure using the value of x
m<K = 4x + 31
Plug in the value of x
m<K = 4(5) + 31
m<K = 20 + 31
m<K = 51°
m<M = 3x + 36
= 3(5) + 36
= 15 + 36
m<M = 51°
m<L = 180° - (m<M + m<K) (sum of triangle theorem)
Substitute
m<L = 180 - (51 + 51)
m<L = 78°
Find the length of the third side. If necessary, round to the nearest tenth. 5 and 9
Answer:
is it a right triangle?
Step-by-step explanation:
Answer:
1. Is it a right triangle?
2. Are you looking for the hypotenuse?
Step-by-step explanation:
Will mark brainliest
Answer:
I think the answer should be Mat A cause it has more space.
There were 24 students running in a race. How many different arrangements of first,
second, and third place are possible?
Which of the following is equivalent to 3x - 4y = 6?
y=7
1 x
v==
y
V = 3*+2
v
y= *-2
Answer:
the answer is option D
y =(3/4)x - (3/2)
Repost bcs last one wasnt clear BUT PLEASE HELPP 5 MINS LEFT
Answer:
[tex]m =13[/tex]
Step-by-step explanation:
Given
The attached dataset
Required
The mean absolute deviation
First, calculate the mean
[tex]\bar x = \frac{\sum x}{n}[/tex]
So, we have:
[tex]\bar x = \frac{42+40+39+76+71+55+68+65}{8}[/tex]
[tex]\bar x = \frac{456}{8}[/tex]
[tex]\bar x = 57[/tex]
The mean absolute deviation (m) is:
[tex]m =\frac{1}{n} \sum|x - \bar x|[/tex]
So, we have:
[tex]m =\frac{1}{8} (|42 - 57| + |40 - 57| + |39 - 57| + |76 - 57| + |71 - 57| + |55 - 57| + |68 - 57| + |65 - 57|)[/tex]
Using a calculator, we have:
[tex]m =\frac{1}{8} (|-15| + |-17| + |-18| + |19| + |14| + |-2| + |11| + |8|)[/tex]
Remove absolute bracket
[tex]m =\frac{1}{8} (15 + 17 + 18 + 19 + 14 + 2 + 11 + 8)[/tex]
[tex]m =\frac{1}{8} *104[/tex]
[tex]m =13[/tex]
The mean absolute deviation is 13
.Un recipiente cilíndrico de 5cm de radio y 10cm de altura se llena de agua. Si la masa del recipiente lleno es de 2kg, ¿cuál es la masa del recipiente vacío?
Answer:
La masa del recipiente vacío es 1,2146 kg.
Step-by-step explanation:
La densidad se define como la propiedad que tiene la materia, ya sean sólidos, líquidos o gases, para comprimirse en un espacio determinado. En otras palabras, la densidad es una magnitud que permite medir la cantidad de masa que hay en determinado volumen de una sustancia. Entonces, la expresión para el cálculo de la densidad es el cociente entre la masa de un cuerpo y el volumen que ocupa:
[tex]densidad= \frac{masa}{volumen}[/tex]
Entonces la masa puede ser expresada como:
masa= densidad*volumen
En este caso:
densidad del agua= 1000 [tex]\frac{kg}{m^{3} }[/tex]volumen del recipiente cilíndrico= π*radio²*altura= π*(5 cm)²* 10 cm= π*(0,05 m)²*0,1 m= 7,854*10⁻⁴ m³Reemplazando:
masa= 1000 [tex]\frac{kg}{m^{3} }[/tex] * 7,854*10⁻⁴ m³
masa=0.7854 kg
Si la masa del recipiente lleno es de 2 kg, entonces se le resta la masa de agua calculada:
2 kg - 0,7854 kg= 1,2146 kg
Entonces, la masa del recipiente vacío es 1,2146 kg.
There are 20 pieces of candy in the box. If 15 of them are hard candies, what percentage of the candies in the box are hard candies?
Answer:percentage of the candies in the box that are hard candies=75%
Step-by-step explanation:
Total pieces of candy in the box=20
Number of candies that are hard =15
Percentage of candies that are hard =Number of candies that are hard / Total pieces of candy in the box x 100
= 15/20 x 100
=75%
In order to help students improve their reading, a school district decides to implement a reading program. It is to be administered to the bottom 5% of the students in the district, based on the scores on a reading achievement exam. If the average score for the students in the district is 122.6, find the cutoff score that will make a student eligible for the program. The standard deviation is 18. Assume the variable is normally distributed. Round to two decimal places.
Answer:
92.99
Step-by-step explanation:
Mean, μ = 122.6
Standard deviation, σ = 18
Recall :
Z = (x - μ) / σ
x = score
The Zscore for the lower 5% = 0.05
Using, invnorm(0.05) = - 1.645
Put Z = - 1.645
-1.645 = (x - 122.6) / 18
-1.645 * 18 = x - 122.6
-29.61 = x - 122.6
-29.61 + 122.6 = x
x = 92.99
which number line shows the soulution
Answer:
The answer is C.
The product of -3.5 and a number, n is greater than 17.5
Answer:
n > 5
Step-by-step explanation:
3.5n > 17.5, or
n > 5
solve for x
I tried 10 but it said that it was incorrect
Answer:
5
Step-by-step explanation:
(5 + x)5 = (2 + 23)2
25 + 5x = 50
5x = 25
x = 5
The sides of a rectangle are in the ratio 5:3. If the perimeter of the rectangle is 640 meters, how long is each side? Please answer I need this for my homework and it’s due today
Answer: sorry but i need this points but you got this sorry
Step-by-step explanation:
Answer:
200 and 120
Step-by-step explanation:
(5x + 3x )*2 = 640
8x = 320
x = 40
5*40 = 200
3*40 = 120
Give the following sequence for f(x) = 4x^2 - x , when x is -4, 1, 2
O 58, 14, 3
0-64, - 14, 3
O 68, 14, 3
0 7, 14, 3
Answer:
O 68, 14, 3
Step-by-step explanation:
Given:
f(x) = 4x² - x
When x = -4
f(x) = 4x² - x
= 4(-4)² - (-4)
= 4(16) + 4
= 64 + 4
f(x) = 68
When x = 1
f(x) = 4x² - x
= 4(1)² - 1
= 4(1) - 1
= 4 - 1
f(x) = 3
When x = 2
f(x) = 4x² - x
= 4(2)² - 2
= 4(4) - 2
= 16 - 2
f(x) = 14
The answer = 68, 3, 14
One side of right angled triangle is 10 cm the other are both of length x ,calculate x to 2 decimal places
As triangle is right angled, we can possibly use the Pythagoras theroam.
By pythgoras theoram;
= H² = B² + P²
= 10² = x² + x²
= 10² = x⁴
=⁴√ 10² = x
= 10²×¼ = x
= 10½ = x
= √10 = x
= 3.16 = x
So the value of x is 3.16 cm
(Hypotenuse)² = (Base)²+ (Perpendicular)²
Taking, Hypotenuse As H
Base As B
Perpendicular As P
_________________________
Solving The QuestionH= 10cm
B= x cm
P= x cm
__________
H²= B²+P²
10²= x²+x²
=> 100= 2x²
=> √100= 2x
=> 10=2x
=> x=10/2
=> x= 5
Hope This Helps You ❤️Hello! i need help finding the value of x could somebody help?
Answer:
lkrkfkfkfnfnfnfnfnf
A sphere has a diameter of 10 in. What is the volume of the sphere?
V = StartFraction 125 Over 3 EndFraction inches cubed
V = StartFraction 500 Over 3 EndFraction inches cubed
V = StartFraction 500 Over 3 EndFraction pi inches cubed
V = StartFraction 4,000 Over 3 EndFraction pi inches cubed
Answer: The answer is B, or the second "v" lol
Step-by-step explanation:
Answer:
its A
Step-by-step explanation:
✔️V = 125 Over 3 inches cubed
V = 500 Over 3 inches cubed
V = S 500 Over 3 pi inches cubed
V = 4,000 Over 3 pi inches cubed
5. Miguel has an after-school job. He works
between 15 and 25 hours each week and is paid
$12 per hour. What is an appropriate domain for
this scenario?
A. All real numbers such that 15
B. All real numbers such that 180 < x < 300
C. All real numbers
D. All real numbers such that x>0
Answer:
The domain is 15 ≤ x ≤ 25
Step-by-step explanation:
The given parameters are;
The number of hours Miguel works each week = Between 15 and 25 hours
The amount he is paid per hour = $12
Therefore, we have;
The domain is all real numbers, 'x', such that 15 ≤ x ≤ 25
The amount Miguel makes each week, 'y' is between; 12 × 15 ≤ A ≤ 12 × 25
Therefore the range is 180 ≤ y ≤ 300.
PLEASE HELP
Write the number in standard form:
6.7 × 10^9
Answer:
6700000000
Step-by-step explanation:
6.7×10^9
(67×10^-1) × (10^9)
(67×)^-1+9
67^8
6700000000
Robert has attended 32 out of 40 after school band practices this year based on his record of attendance which is the probability that Robert will attend band practice in the future?
Answer:
4/5
Step-by-step explanation:
32/40 is how often he has come so far. You would need to simplify that fraction down to the lowest, which is 4/5.
8.92 kilograms equal how many decigrams
Answer:
89200
Step-by-step explanation:
The diameter of a circular swimming pool is 15 feet. Find the circumference.
Solve Andre’s inequality 3x+10≤31
h ≥ 7
h ≤ 7
h < 7
Answer:
It is h ≤ 7
Step-by-step explanation:
Please don’t report I need help. I’m going to be a high school sophomore next fall and I’m selecting my courses should I take Geometry I or Algebra II?????
Answer:
I would say geometry. its easier
plsssssssssssss help
Answer:
4
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
none of the others match to the red triangle