use pascal's triangle to expand the binomial (x+3)^4

Answer:

297

Step-by-step explanation:

Using cosine rule, the value of angle Y in the triangle is 21.3 degrees

The cosine rule is a mathematical formula used to calculate the length of the sides of a triangle when the angles and one side are known. It states that the square of the length of any side of a triangle is equal to the sum of the squares of the other two sides minus twice the product of those sides multiplied by the cosine of the angle between them.

Mathematically, this is expressed as;

y² = x² + w² - 2xwCos(y)

Data given;

Substituting the values into the formula above;

y² = x² + w² - 2xwCos(y)

5.5² = 2.9² + 8.1² -2(2.9)(8.1)cosY

30.25 = 8.41 + 65.61 - 46.98cosY

30.25 = 74.02 -46.98cosY

46.98cosY = 74.02 - 30.25

46.98cosY = 43.77

cos Y = 43.77 / 46.98

cos Y = 0.9317

Y = cos⁻¹(0.9317)

Y = 21.3°

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Answer:

Tisco shop

Step-by-step explanation:

The computation is shown below;

For tisco,

= 20 ÷ 4 × £1.04

= £5.2

For Azda,

= 20 ÷ 5 × £1.35

= £5.4

As if we can see that the tisco cost is lower than the azda cost so here the best value represent the tisco shop

The total distance of Kite from the ground is 16.38 meters and this can be determined by using the trigonometric function.

Given :

The following steps can be used in order to determine the total distance of Kite from the ground:

Step 1 - The trigonometric functions can be used in order to determine the total distance of Kite from the ground.

Step 2 - The sine function is used to measure the distance. The mathematical expression of the sine function is:

[tex]\rm sin\theta = \dfrac{P}{H}[/tex]

where P is the perpendicular and H is the hypotenuse.

Step 3 - Now, substitute the values of the known terms in the above expression.

[tex]\rm sin55 = \dfrac{Distance}{20}[/tex]

Step 4 - Simplify the above expression.

Distance = 16.38 meters

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Answer:

I dont know much about algebra but I know,

1 plus 1 equals two ‍♀️

Answer:

95% Confidence Interval is; (  -5.344 to 11.344 )

Option b) -5.344 to 11.344 is the correct answer

Step-by-step explanation:

Given the data in the question;

Sample 1                 Sample 2

x"₁ = 45                   x"₂ = 42

S₁² = 85                  S₂² = 90

n₁ = 10                    n₂ = 12

df = [ S₁²/n₁ +  S₂²/n₂ ]² / [ ((S₁²/n₁)²/n₁-1) +  ((S₂²/n₂)²/n₂-1)) ]

we substitute

df = [ 10/10 +  90/12 ]² / [ ((85/10)²/10-1) +  ((90/12)²/12-1)) ] = 19.64 ≈ 20

df = 20

with 95% confidence interval

∝ = 1 - 0.95 = 0.05

∝/2 = 0.05/2 = 0.025

now, [tex]t_{\alpha /2,df} = t_{0.025, 20} = 2.086[/tex]    { from table }

95% confidence interval for N1 - N2

⇒ (x"₁ - x"₂) ± [tex]t_{\alpha /2,df}[/tex] × √( S₁²/n₁ +  S₂²/n₂ )

⇒ (45 - 42) ± 2.086 × √( 85/10 +  90/12 )

⇒ 3 ± 2.086 × 4

⇒ 3 ± 8.344

so;

Lower Limit = 3 - 8.344 = -5.344

Upper Limit = 3 + 8.344 = 11.344

Therefore, 95% Confidence Interval is; (  -5.344 to 11.344 )

Option b) -5.344 to 11.344 is the correct answer

Answer:

1/8, 2/8

1/8+2/8= 3/8

0/8<3/8<4/8

Step-by-step explanation:

Answer:

the day.

step-by-step: you dont need the day

Answer:

G

Step-by-step explanation:

Answer: 4/5

Step-by-step explanation:

0.8 = 8/10 = 4/5

Answer:

4/5

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Answer:

The slope is -7 . The y  intercept is (0 , 3)

Answer:

x= -1/7y+3/7

Step-by-step explanation:

step 1: −7x+3=y

Step 2: Add -3 to both sides.

−7x+3+−3=y+−3

−7x=y−3

Step 3: Divide both sides by -7.

Answer:

B . 10.50

Why ? Because 8.50+3.50=12 , Then 12 × 5 = 60 , 2.50×3=7.5 , 60-7.5= 52.5 . divide 52.5 by 5 = 10.50 . So each friend paid 10.50

Answer:

The equation of the line is [tex]y = -\frac{1}{3}x - 8[/tex]

Step-by-step explanation:

Equation of a line:

The equation of a line has the following format:

[tex]y = mx + b[/tex]

In which m is the slope and b is the y-intercept.

Slope of - 1/3

This means that [tex]m = -\frac{1}{3}[/tex]

So

[tex]y = -\frac{1}{3}x + b[/tex]

Through the point (-6, -6)

This means that when [tex]x = -6, y = -6[/tex]. So

[tex]y = -\frac{1}{3}x + b[/tex]

[tex]-6 = -\frac{1}{3}(-6) + b[/tex]

[tex]b + 2 = -6[/tex]

[tex]b = -8[/tex]

The equation of the line is [tex]y = -\frac{1}{3}x - 8[/tex]

Answer:

13.5 = 9.5 + x

x=4

Step-by-step explanation:

In this problem, the price of the baseball cap, which is $9.50, and a baseball, whose price is unknown (and therefore must be the variable), total $13.50. So, to set up the equation add the two prices and set them equal to the total, 9.5+x=13.5.

Then, using the subtraction property of equality subtract 9.5 from both sides. This means x=4, so the baseball cost 4 dollars.

Answer:

[tex]9c \leqslant - 28[/tex]

Step-by-step explanation:

Since 9 and c are multiplied together and the product is at most -28, the equation would have to be the one above.

Answer:

the answer is 80!!!!!!!!!!

Step-by-step explanation:

Answer: 75% of the rate lies in 47 per month and 55 per month.

Step-by-step explanation:

The mean rate for a satellite television from a sample of households was $51.00 per month,  with a standard deviation of $2.00 per month.

According to the Chebychev's Theorem, atleast [tex](1-\dfrac{1}{k^2})[/tex]  % of the data lies within k standard deviation from the mean.

For k=2

[tex]1-\dfrac1{2^2}=1-\dfrac14=\dfrac34=0.75\ or \ 75\%[/tex]

Alteast 75% of data lies within 2 standard deviation from mean.

i.e. 51-2(2) per month and 51+2(2) per month

i.e. 47 per month and 55 per month

Hence, 75% of the rate lies in 47 per month and 55 per month.

Answer:

45

Step-by-step explanation:

70%=126

100%=?

100×126=12600÷70

=180

100=180

25=?

25×180÷100

=45

Answer: 9e

Step-by-step explanation:

Answer:

C) 2x10²

Step-by-step explanation:

1400000/7000=

1400/7=

200=

2x10²

Answer: 9y-1

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Answer:

135ft^3

Step-by-step explanation:

Volume for triangular prism = 1/2bhl

v=1/2*6*5*9= 135

Answer:

23182 or 23181.5109105

Step-by-step explanation:

Answer:

7.1 miles

Step-by-step explanation:

13.8-6.7=7.1

Answer:

7.1 miles

Step-by-step explanation:

subtract 6.7 from 13.8 (13.8 - 6.7)

Answer:

w = 9

Step-by-step explanation:

1. Add 15 from both sides: 8w = 72

2. Divide my 8: w = 9

Answer:

the answer for this question is 9

Answer:

C. X=6

Step-by-step explanation:

Length of one side =52/4= 13

3X-5= 13

3x = 13+5

X= 18/3

X= 6