Use pascal triangle to expand and simplify (5x+4y)³​

Step-by-step explanation:

(1, -3). (3, 0)

(0 + 3)/(3 - 1) = 3/2 is the slope

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

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]

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, . . .

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:

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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

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).

Born 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

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]

Answer:

dependent events since P(A and B) is not equal to P(A) * P(B)

Step-by-step explanation:

According to the Question,

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.

So, 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

Answer:

#    Tally

1:     ||||| (5)

2:    | (1)

3:    |||| (4)

4:    ||| (3)

5:    || (2)

6:    ||| (3)

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

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....

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

Answer:

466 miles

Step-by-step explanation:

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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.

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

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

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

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

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 =)

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

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

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.

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

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

Answer:

number 8 is d 16 good luck

The standard deviation of the data is 100 if round to the nearest whole number.

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:

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