Answer:
125x³+240xy²+64y³ +300yx²
Step-by-step explanation:
Row of pascals triangle to use is 1 3 3 1
For binomial expansion, use a³ +3a²b+3ab²+b³
Simplify the expression 2(w+7)+6(3w−1).
Answer:
4 • (5w + 2)
Step-by-step explanation:
STEP
1
:
Equation at the end of step 1
(2 • (w + 7)) + 6 • (3w - 1)
STEP
2
:
Equation at the end of step 2
2 • (w + 7) + 6 • (3w - 1)
STEP
3
:
STEP
4
:
Pulling out like terms
4.1 Pull out like factors :
20w + 8 = 4 • (5w + 2)
Answer:
20w + 8
Step-by-step explanation:
2(w+7)+6(3w−1).
step 1 distribute the 2 to the w and the 7
2 * w = 2w
2 * 7 = 14
we now have 2w + 14 + 6( 3w - 1 )
step 2 distribute the 6 to the 3w and -1
6 * 3w = 18w
6 * -1 = -6
we now have 2w + 14 + 18w - 6
step 3 combine like terms
2w + 18w = 20w
14 - 6 = 8
we're left with 20w + 8
got it wrong help a girl out please thank you
The probability that Jane will go to a ballgame (event A) on a Monday is 0.73, and the probability that Kate will go to a ballgame (event B) the same day is 0.61. The probability that Kate and Jane both go to the ballgame on Monday is 0.52.
From the given scenario, we can conclude that events A and B are
Answer:
dependent events since P(A and B) is not equal to P(A) * P(B)
Step-by-step explanation:
According to the Question,
Given, The probability that Jane will go to a ballgame (event A) on a Monday is 0.73, and the probability that Kate will go to a ballgame (event B) the same day is 0.61. The probability that Kate and Jane both go to the ballgame on Monday is 0.52.Thus, The events A, B and A∩B are:
A - Jane will go to a ballgame on Monday;
B - Kate will go to a ballgame on Monday;
A∩B - Kate and Jane both go to the ballgame on Monday.
P(A)=0.73, P(B)=0.61, P(A∩B)=0.52.Pr(A)⋅Pr(B) = 0.73⋅0.61 = 0.4453 ≠ 0.52So, events A and B are dependent events since P(A and B) is not equal to P(A) * P(B)
Answer:
From the given scenario, we can conclude that events A and B are dependent events since P(A and B) is not equal to P(A) * P(B)
Step-by-step explanation:
Correct answer for plato users
Help please help please
Answer:
12.57 in⠀⠀⠀⠀⠀
Answer:
12.56 inches
Step-by-step explanation:
A= pie x r^2
= 3.14 × 2^2
= 3.14 × 4
= 12.56
One of the legs of a right triangle measures 1 cm and its hypotenuse measures 20 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Answer:
[tex]\sqrt{399}[/tex] or 19.97 but if you round to nearest tenth it is 20
Step-by-step explanation:
using the Pythagorean theorem of [tex]a^{2} +b^{2} =c^{2}[/tex]
substitute the values of 1 for a, leave b since we do not know it, and 20 for c.
So we have
[tex]1^{2}+b^{2}=20^{2}\\1+b^{2}=400\\[/tex]
Solve for b,
[tex]b^{2}=399\\b=\sqrt{399}[/tex]
Answer:
20
Step-by-step explanation:
a^2+b^2=c^2
1^2+b^2=20^2
1+b^2=400
-1 -1
b^2=399
then take the square root of both and get 19.97498436
and after that, u round to the nearest 10th and get 20
hope this helps
Terra Drive due north 44 Miles then East 422 miles. How far is Terra from her starting point
Answer:
466 miles
Step-by-step explanation:
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Please help ASAP due at 11:15
Answer:
number 8 is d 16 good luck
how do we prove that a line is a tangent of a circle
Answer:
if the line makes an angle of 90° with the radius of the circle at the point of contact of the tangent and the circle
The half-life of a radioactive kind of iodine is 12 hours. How much will be left after 24 hours,
if you start with 96 grams of it?
Answer:
Step-by-step explanation:
Half life means the period after which the material will have only 50% of it left, as if by magic.
Half life is given as 12 hours, so 24 hours is twice half-life.
If we start with 96 grams, after 12 hours, there will be 48 grams left.
After another 12 hours, (total of 24 hours), only half is left, namely 24 grams.
1. If NK = 7 and KL = 15, find NL.
2. If m∠JMK = (8x – 13)° and m∠LMK = (4x + 19)°, find x.
Answer:
NL = 13.26
x = 9.5
Step-by-step explanation:
Find the diagram attached
1) Given that NK = 7 and KL = 15
NL² = KL² - NK²
NL² = 15² -7²
NL² = 176
NL = 13.26
2) Given that m∠JMK = (8x – 13)° and m∠LMK = (4x + 19)°
From the rhombus;
m<JML = 120 degrees
m∠JMK + m∠LMK = m∠JML
8x-13 + 4x +19 = 120
12x + 6 = 120
12x = 120-6
12x = 114
x = 114/12
x = 9.5
Hence the valle of x is 9.5
A woman sold an article for 20.00cedis and made a profit of 25%.Find the cost price of the article.
Answer:
The cost price = GHc 16.00
Step-by-step explanation:
Selling price = GHC 20.00
Profit Percent = 25%
Cost price = ?
Formula for finding cost price =
[tex] \frac{100}{100 + profit \: percent} \times selling \: price[/tex]
Let's insert the numbers
[tex] \frac{100}{100 + 25} \times 20 \\ = \frac{100}{125} \times 20 \\ = \frac{4}{5} \times 20 \\ = \frac{4 \times 20}{5} \\ = \frac{80}{5} \\ = 16[/tex]
So therefore ; the cost price is GHC 16.00
Select the correct answer.
Observe the sequences below.
I. -3, 1, 5, 9, . . .
II. 1, 2, 4, 8, . . .
III. 4, -12, 36, -108, . . .
IV. 7, 14, 21, 28, . . .
Which of these are arithmetic sequences?
A.
IV only
B.
I and IV
C.
I, II, and IV
D.
II and III
Answer:
B
Step-by-step explanation:
The answer is B, I and IV only
Option B is correct about observing the sequences below.
We have given that,
I. -3, 1, 5, 9, . . .
II. 1, 2, 4, 8, . . .
III. 4, -12, 36, -108, . . .
IV. 7, 14, 21, 28, . . .
What is the sequence?A sequence is an enumerated collection of objects in which repetitions are allowed and order matters.
We have to determine the correct answer for the above sequence
Therefore, The answer is B, I, and IV only.
To learn more about the sequence visit:
https://brainly.com/question/6561461
#SPJ2
Brainliest goes to whoever answers correctly and explains also if you want extra points answer my other questions
State if the triangle is a right triangle. (Remember that the largest value is always c)
No
Yes
Answer:
Yes
Step-by-step explanation:
Right triangles have a 90 degree angle, which this triangle does. The side opposite the 90 degree angle is the hypotenuse. The hypotenuse (in this case 53 m) is the longest side.
Roll the dice 18 times and record your results.
#
Tallies
Total
1
2
3
4
5
6
Answer:
# Tally
1: ||||| (5)
2: | (1)
3: |||| (4)
4: ||| (3)
5: || (2)
6: ||| (3)
[tex] please \: anyone \: help \:me \\ \\ go \: to \: my \: previous \: question \: [/tex]
Answer:
Bhimrao Ramji Ambedkar, (born April 14, 1891, Mhow, India—died December 6, 1956, New Delhi), leader of the Dalits (Scheduled Castes; formerly called untouchables) and law minister of the government of India (1947–51).
ExplanationBorn of a Dalit Mahar family of western India, he was as a boy humiliated by his high-caste schoolfellows. His father was an officer in the Indian army. Awarded a scholarship by the Gaekwar (ruler) of Baroda (now Vadodara), he studied at universities in the United States, Britain, and Germany. He entered the Baroda Public Service at the Gaekwar’s request, but, again ill-treated by his high-caste colleagues, he turned to legal practice and to teaching. He soon established his leadership among Dalits, founded several journals on their behalf, and succeeded in obtaining special representation for them in the legislative councils of the government. Contesting Mahatma Gandhi’s claim to speak for Dalits (or Harijans, as Gandhi called them), he wrote What Congress and Gandhi Have Done to the Untouchables (1945).
In 1947 Ambedkar became the law minister of the government of India. He took a leading part in the framing of the Indian constitution, outlawing discrimination against untouchables, and skillfully helped to steer it through the assembly. He resigned in 1951, disappointed at his lack of influence in the government. In October 1956, in despair because of the perpetuation of untouchability in Hindu doctrine, he renounced Hinduism and became a Buddhist, together with about 200,000 fellow Dalits, at a ceremony in Nagpur. Ambedkar’s book The Buddha and His Dhamma appeared posthumously in 1957, and it was republished as The Buddha and His Dhamma: A Critical Edition in 2011, edited, introduced, and annotated by Aakash Singh Rathore and Ajay Verma.
Step-by-step explanation:
hope it is helpful to you
17 points Please help me with the answer and understanding
•Please actually help me out I want to better understand this
•trolls will be reported
Answer:
A
Step-by-step explanation:
just A
successive y values are 5 TIMES the previous y value
In all the others the y value is an ADDITION of the same amount to the previous y value
Type the height of the ramp (h), in inches. Round your answer to the nearest whole inch.
Answer:
49 inches
Step-by-step explanation:
To obtain the height, h of the ramp ;; we use trigonometry ;
h = opposite and the value of the hypotenus :
Sin θ = opposite / hypotenus
Sin 22 = h / 132
h = 132 * sin 22
h = 132 * 0.3746065
h = 49.44
Height of ramp = 49 inches
a population of rabbits is growing naturally at 20% each month. if the colony began with 2 rabbits, how many will there be in 5 years?
What is the slope of the line
Step-by-step explanation:
(1, -3). (3, 0)
(0 + 3)/(3 - 1) = 3/2 is the slope
Which of the following is a geometric sequence?
O A. 11, 16, 21, 26, ...
B. - 3, 3, -3, 3, ...
O C. -2, 6, 14, 22, ...
O D. 6, 13, 19, 24, ...
Answer:
A
Step-by-step explanation:
geometric progression, also known as a geometric sequence, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio. Option b is the geometric sequence with the common ratio of 2
Grace is looking at a report of her monthly cell-phone usage for the last year to determine if she needs to upgrade her plan. The list represents the approximate number of megabytes of data Grace used each month.
700, 735, 680, 890, 755, 740, 670, 785, 805, 1050, 820, 750
What is the standard deviation of the data? Round to the nearest whole number.
The standard deviation of the data is 100 if round to the nearest whole number.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.
The list represents the approximate number of megabytes of data Grace used each month as shown in the table.
To find the standard deviation first we will find the mean:
The sum of the all data given = 9380
The mean X' = 9380/12 (total number of observation = 12)
Now subtract the mean from each sample value such as (X-X') and square it.
Find the sum of it.
The formula for the standard deviation is given:
[tex]\rm SD =\sqrt{\frac{\sum(X-X')^2}{n} }[/tex]
Put the ∑(X-X')² = 120866.67 and n = 12
[tex]\rm SD =\sqrt{\frac{120866.67}{12} }[/tex]
SD = 100.36 ≈ 100
Thus, the standard deviation of the data is 100 if round to the nearest whole number.
Learn more about the standard deviation here:
brainly.com/question/12402189
Find the missing angle?
Answer:
[tex]55.23[/tex]
Step-by-step explanation:
In order to solve this problem, one must use the right triangle trigonometric ratios. Right triangle trigonometric ratios are ratios between the sides and angles of a right triangle. These ratios are the following:
[tex]sin(\theta)=\frac{opposite}{hypotenuse}\\\\cos(\theta)=\frac{adjacent}{hypotenuse}\\\\tan(\theta)=\frac{opposite}{adjacent}[/tex]
Bear in mind that each side is named relative to the angle that one is describing in the triangle. Thus, the name of the side can change based on the angle. Please note that this only applies to the (opposite) and (adjacent) sides. The (hypotenuse) is the same no matter the angle, as the hypotenuse is the side opposite the right angle.
In this triangle, one is asked to find an angle, one is given the length of the side opposite the angle, as well as the hypotenuse. Thus, one should use the ratio of sine (sin), to solve for the unknown angle.
[tex]sin(\theta)=\frac{opposite}{hypotenuse}[/tex]
Substitute,
[tex]sin(\theta)=\frac{23}{28}[/tex]
Inverse operations,
[tex]\theta=sin^-1(\frac{23}{28})[/tex]
Simplify,
[tex]\theta=55.228056[/tex]
in a standard xy plane, a line passes through the points (n,8)(32,n) and the origin. if n is a positive real number, what is the value of n
Answer:
n = 16
Step-by-step explanation:
The slope from the origin to each point must be equal
(0,0) and (n, 8)
m = 8/n
(0, 0) and (32, n)
m = n/32
Set the slopes equal
8/n = n/32
cross multiply
256 = n²
Take the square root of both sides
n = 16
70. Angle of Revolution. Through how many radians does the minute hand of a wrist-watch rotate from 12:40 P.M. to 1:30 P.M.
Answer:
[tex]\frac{5\pi}{3}\:\mathrm{radians}[/tex]
Step-by-step explanation:
Each complete revolution of a circle is equal to [tex]2\pi[/tex] radians. The minute-hand travels one of these revolutions in 60 minutes. Since there are 50 minutes from 12:40 PM to 1:30 PM, the minute hand travels [tex]\frac{50}{60}\cdot 2\pi=\frac{100}{60}\cdot 2\pi=\boxed{5\pi/3\:\mathrm{radians}}[/tex]
x * 0.77 = 26
Solve for x.
Answer:
x = ~33.77
Step-by-step explanation:
divide .77 on both sides.
x = 26/0.77 = 33.766234 rounded to the nearest hundredth is 33.77.
lets check our answer by plugging it in:
33.77 * 0.77 = 26.0029 which is close enough
Which quadratic equation defines the function that has zeros at -8 and 6?
a. x^2 + 2x - 48 = 0
b. x^2 - 2x - 48 = 0
c. x^2 + 2x + 48 = 0
d. x^2 - 2x + 48 = 0
sin²(240°) how to solve
Answer:
3/4
Step-by-step explanation:
sin^2(240°)
=sin^2(360-120)
=sin^2(-120)
={-sin^2(120)}
=(-[tex]\sqrt({3} /2)^2[/tex]
=3/4
Step-by-step explanation:
i hope so u can see sorry
and it is correct
2^x=1/32 write down the value of x
Answer:
[tex]x=-5[/tex]
Step-by-step explanation:
log ([tex]2^x[/tex]) = log ( [tex]1/32[/tex] ) {take both the sides}
[tex]x[/tex] * ( log ( 2 ) ) = log ( [tex]1/32[/tex] )
[tex]x=\frac{log(1/32)}{log (2)}[/tex]
[tex]x=-5[/tex]
hope this helps....
Numbers with the same absolute value are?
Answer:Two numbers are opposites if they have the same absolute value but different signs.
Step-by-step explanation:
Two numbers are opposites if they have the same absolute value but different signs. Opposites are the same distance from 0 on a number line, and they are on opposite sides of 0. The opposite of 0 is 0.
The absolute value is the same as the distance!
I hope this helps =)