please please help me. i’ll literally send you money. i need to pass please help

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Work Shown:

y = (3/2)x + 4

2y = 3x + 8 .... multiply both sides by 2

0 = 3x + 8 - 2y

3x-2y+8 = 0

The original equation transforms to 3x-2y+8 = 0. It is in the form Ax+By+C = 0. We see that A = 3, B = -2, C = 8. This form is very useful to help find the distance from a point to this line.

The formula we will use is

[tex]d = \frac{|A*p+B*q+C|}{\sqrt{A^2+B^2}}\\\\[/tex]

where A,B,C were the values mentioned earlier. The p,q are the x and y coordinates of the point given. So p = 9 and q = -2

Plugging all that in gives...

[tex]d = \frac{|A*p+B*q+C|}{\sqrt{A^2+B^2}}\\\\d = \frac{|3*9+(-2)*(-2)+8|}{\sqrt{3^2+(-2)^2}}\\\\d = \frac{|27+4+8|}{\sqrt{9+4}}\\\\d = \frac{|39|}{\sqrt{13}}\\\\d = \frac{39}{\sqrt{13}}\\\\d = \frac{39\sqrt{13}}{\sqrt{13}\sqrt{13}} \ \text{ rationalizing denominator}\\\\d = \frac{39\sqrt{13}}{13}\\\\d = 3\sqrt{13}\\\\d = \sqrt{9}*\sqrt{13}\\\\d = \sqrt{9*13}\\\\d = \sqrt{117}\\\\[/tex]

Answer:

4+10-284-4819+2948929

Answer:  y-intercepts: 250,000 & 3,000

Step-by-step explanation:

The first equation represents the trees cleared. The starting/original amount cleared was 250,000.

The second equation represents the trees planted. The starting/original amount planted was 3,000.

Answer:

18-22 = 1

23-27 = 3

28-32 = 3

33-37 = 3

Answer:

18-22 = 1

23-27 = 3

28-32 = 3

33-37 = 3

Answer:

pretty sure its C

Step-by-step explanation:

I think this because 1600 rounds up to 2000 and 1483 rounds down to 1000 and 2000>1000

Answer:

ADB = Major Arc

arc measure = 310

Step-by-step explanation:

major arc measure = 360 - 50 = 310

6 x (10+ 6) = 8 x (8 +x)

Simplify:

96 = 64 + 8x

Subtract 64 from both sides:

32 = 8x

Divide both sides by 8

X = 4

Answer:

Volume = π [ 2/3 - 12/2].

Step-by-step explanation:

So, in this question we are asked to find or Calculate for or determine the value of volume v of the solid obtained by rotating the region bonded by the given curves about the specified lines = ? (Unknown). In addition, we are given that y = x, y = x , so, about x = 3.

Volume = π ∫ [ (3 - y)^2 - (3 - y)^2 ] dy.

(Taking 0 and 1 as the lower and upper limit).

Volume = π ∫ 9 - 6y + y^2 - 9 - 6y + y^2 dy.

(Taking 0 and 1 as the lower and upper limit).

Volume = π ∫ 2y^2 - 12y dy.

(Taking 0 and 1 as the lower and upper limit).

(Solving the quadratic equation above, we have; Roots: -6, 0

Root Pair: -3 ± 3

Factored: f(x) = 2(x + 6)x)

Also,

Volume = π [ 2y^3 / 3 - 12y2/2]

Volume = π [ 2/3 - 12/2] cubic units.

Answer:

Length=29.8 inches

Width=11.8 inches

Height=4.6 inches

Volume=1,617.54 cubic inches

Step-by-step explanation:

Let the side of congruent square cut =x inches

So the length of the rectangular box=(39-2x)

width = (21-2x)

height = x

The volume V=Length*Width*Height

= (39-2x)*(21-2x)*x

dV/dx= (39-2x)(21-4x)-2x(17-2x)=0

Simplify the equation above

819-156x-42x+8x^2-34x+4x^2=0

We have,

12x^2 -232 +819=0

Solve the quadratic equation using formula

a=12

b= -232

c=819

x= -b +or- √b^2-4ac/2a

= -(-232) +- √(-232)^2 - (4)(12)(819) / (2)(12)

= 232 +or- √53824 - 39312 / 24

= 232 +or- √14512 / 24

= 232 +or- 4√907 / 24

x= 232 / 24 + 4√907 / 24

=14.6861

Or

x=232 / 24 - 4√907 / 24

=4.64726

x=4.6 inches

Length=(39-2x)

={39-2(4.6)}

= 29.8 inches

Width=(21-2x)

={21-2(4.6)}

= 11.8 inches

Height=x= 4.6 inches

Volume=(39-2x)*(21-2x)*x

={39-2(4.6)}*{21-2(4.6)*4.6

=(39-9.2)*(21-9.2)*4.6

=29.8*11.8*4.6

=1,617.544

Approximately 1,617.54

Volume=1,617.54 cubic inches

Answer:

1/6

Step-by-step explanation:

Well perpendicular lines are reciprocals of each other,

meaning if like k has a slope of -6 then line n will have a slope of positive 1/6.

Thus,

line n has a slope of 1/6.

Hope this helps:)

Answer:

1/6.

Step-by-step explanation:

Lines that are perpendicular have slopes that are negative reciprocals. So, if one line has a slope of -6, the negative of the slope would be 6, and the reciprocal would be 1/6.

Hope this helps!

Answer:

A. (0, 4)

Step-by-step explanation:

y=mx+b

y=7x+4

7x<-- mx

4<-- b

b=y intercept

The value of the y-intercept of the line described by the equation is,

⇒ (0, 4)

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

We have to given that;

The equation of line is,

y = 7x + 4

Now, We know that;

The equation of line is,

y = mx + c

Where, c is y - intercept.

Hence, We get;

The value of the y-intercept of the line described by the equation is,

⇒ y = 4

⇒ (0, 4)

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Answer:

(0, 16]

Step-by-step explanation:

∑ₙ₌₁°° (-1)ⁿ⁺¹ (x−8)ⁿ / (n 8ⁿ)

According to the ratio test, if we define L such that:

L = lim(n→∞) |aₙ₊₁ / aₙ|

then the series will converge if L < 1.

aₙ = (-1)ⁿ⁺¹ (x−8)ⁿ / (n 8ⁿ)

aₙ₊₁ = (-1)ⁿ⁺² (x−8)ⁿ⁺¹ / ((n+1) 8ⁿ⁺¹)

Plugging into the ratio test:

L = lim(n→∞) | (-1)ⁿ⁺² (x−8)ⁿ⁺¹ / ((n+1) 8ⁿ⁺¹) × n 8ⁿ / ((-1)ⁿ⁺¹ (x−8)ⁿ) |

L = lim(n→∞) | -n (x−8) / (8 (n+1)) |

L = (|x−8| / 8) lim(n→∞) | n / (n+1) |

L = |x−8| / 8

For the series to converge:

L < 1

|x−8| / 8 < 1

|x−8| < 8

-8 < x−8 < 8

0 < x < 16

Now we check the endpoints.  If x = 0:

∑ₙ₌₁°° (-1)ⁿ⁺¹ (0−8)ⁿ / (n 8ⁿ)

∑ₙ₌₁°° -(-1)ⁿ (-8)ⁿ / (n 8ⁿ)

∑ₙ₌₁°° -(8)ⁿ / (n 8ⁿ)

∑ₙ₌₁°° -1 / n

This is a harmonic series, and diverges.

If x = 16:

∑ₙ₌₁°° (-1)ⁿ⁺¹ (16−8)ⁿ / (n 8ⁿ)

∑ₙ₌₁°° (-1)ⁿ⁺¹ (8)ⁿ / (n 8ⁿ)

∑ₙ₌₁°° (-1)ⁿ⁺¹ / n

This is an alternating series, and converges.

Therefore, the interval of convergence is:

0 < x ≤ 16

Or, in interval notation, (0, 16].

Answer:

9x^4

Step-by-step explanation:

(3x)^2 * x^2

9x^2 * x^2

Add the exponents

9x^(2+2)

9x^4

Answer:

x = 15

Step-by-step explanation:

You want to remove the opposites which will leave you with x = 15

Hope this helped! :)

Hey there!

ORIGINAL PROBLEM/EQUATION:

x + x - x = 15

CONVERSION/NEW EQUATION:

1x + 1x - 1x = 15

COMBINE the LIKE TERMS:

2x - 1x = 15

1x = 15

DIVIDE 1 to BOTH SIDES

1x/1 = 15/1

SIMPLIFY AFTER CANCELING OUT 1/1 BECAUSE IT GAVE YOU 1 & KEEPING 15/1 BECAUSE IT HELP/GIVE YOU THE x-value

NEW EQUATION: x = 15

Therefore, your answer is: x = 15

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

Solution,

[tex] \frac{ab}{bc} = tan \: 40 \\ ab = bc \times tan \: 40 \\ ab = 10 \times 0.84 \\ ab = 8.4 \: inches \: [/tex]

[tex] \frac{bc}{ac} = cos \: 40 \\ \frac{bc}{cos \: 40} = ac \\ ac = \frac{10}{cos \: 40} \\ ac = 13.05 \: inches[/tex]

Hope this helps...

Good luck on your assignment..

Answer:

The height increase by

20/49π when pile is 14ft high

Step by step Explanation

Given:

rate of 20 ft3/min

To asolve this quest we will be using the volume of a cone then find the partial derivative

CHECK THE ATTACHMENT FOR DETAILED EXPLANATION

Answer:

Dy/Dx=-4x/(1+x²)²

Step-by-step explanation:

The differential of 1_x² over 1+x²​

First of all

1_x² over 1+x²​ = (1_x²) / (1+x²​)

Let (1_x²) = u

Let (1+x²​) = v

Differential = Dy/Dx

Dy/Dx of (1_x²) / (1+x²​)

= (VDu/Dx -UDv/Dx)V²

u = (1-x²)

Du/Dx = -2x

(VDu/Dx) =(1+x²)(-2x)

V = 1+x²

Dv/Dx = 2x

UDv/Dx= (1-x²)(2x)

v² = (1+x²)²

Dy/Dx = ((1+x²)(-2x) - (1-x²)(2x))/(1+x²)²

Dy/Dx= ((-2x -2x³)-(2x-2x³))/(1+x²)²

Dy/Dx=( -2x -2x - 2x³ +2x³)/(1+x²)²

Dy/Dx=-4x/(1+x²)²

Answer:  

a.  GF = 8, therefore BC = 8

b.  AB = 6, therefore EF = 6

c.  AC = 10, therefore EG = 10

Step-by-step explanation:

Both triangles are congruent, so use the corresponding side of one triangle to find the missing length of the other triangle.

Answer:

three or more

Step-by-step explanation:

Answer:

d)9991.15

Step-by-step explanation:

We have a sum of money ($6000) compounded daily at an annual interest rate of 8.5% for 6 years.

If the interest is compound daily, and we take a m=365 days a year (or 365 subperiods m), the daily nominal interest rate is:

[tex]i_d=\dfrac{i}{m}=\dfrac{0.085}{365}=0.000232877[/tex]

Then, we can express the final valueo of $6000 compounded daily at an annual interest rate of 8.5% for 6 years as:

[tex]FV=IV\left(1+\dfrac{i}{m}\right)^{n\cdot m}\\\\\\FV=6000(1+0.000232877)^{6\cdot 365}\\\\FV=6000(1.000232877)^{2190}\\\\FV=6000\cdot1.665192322\\\\FV\approx9991.15[/tex]

Answer:

k = -10/9 and k = 10/9

Step-by-step explanation:

given y = cos(kt) and the differential equation 81y'' = -100y

y' = -ksin(kt)

y'' = -k²cos(kt)

Substituting the value of y and y'' in the differential equation we have;

81 (-k²cos(kt))= -100 (cos(kt))

-81k²cos(kt)) = -100cos(kt))

-81k² = -100

k² = 100/81

k = ±[tex]\sqrt{\frac{100}{81} }[/tex]

k = ±10/9

k = -10/9 and k = 10/9

Answer:

sin(B) = cos(90 – B)

Step-by-step explanation:

Which relationship in the triangle must be true? Triangle A B C is shown. Angle A C B is a right angle. The length of side C B is a, the length of side A C is b, and the length of side A B is c.

sin(B) = sin(A)

sin(B) = cos(90 – B)

cos(B) = sin(180 – B)

cos(B) = cos(A)

Assuming the angles are in degrees, the second relation is always true.

By definition of sine,

sin(B) = AC/AB

cos(90-B) = cos (A) = AC/AB

therefore the second relation is true, for arbitrary values of B.

Answer:

sin(B) = cos(90 – B)

Step-by-step explanation:

Which relationship in the triangle must be true?

Triangle A B C is shown. Angle A C B is a right angle. The length of side C B is a, the length of side A C is b, and the length of side A B is c.

Answer:

29.5+/-1.11

= ( 28.39, 30.61)

Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 29.5

Standard deviation r = 5.2

Number of samples n = 59

Confidence interval = 90%

z-value (at 90% confidence) = 1.645

Substituting the values we have;

29.5+/-1.645(5.2/√59)

29.5+/-1.645(0.676982337100)

29.5+/-1.113635944529

29.5+/-1.11

= ( 28.39, 30.61)

Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)

Answer:

25 square units.

Step-by-step explanation:

To get the area of a trapezoid, you will do the height times the b1 plus b2 divided by 2.

In this case, h = 2; b1 = 5; b2 = 20.

[2 * (5 + 20)] / 2 = (2 * 25) / 2 = 50 / 2 = 25 square units.

Hope this helps!

The area of trapezoid ABCD is 25 square units.

A flat geometric figure with four sides but with only two sides parallel.

Given,

A = h*(b₁+b₂)/2

where h=2, b₁=5, b₂=20

Substitute values of h,  b₁ and  b₂

A = 2*(5+20)/2

A = 2*(25)/2

A = 50/2

A = 25 square units (choice A)

Notice how the b₁ and  b₂ are the parallel bases, while the height h = 2 is perpendicular to both of these bases.

Hence area of trapezoid ABCD is 25 square units.

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Answer:

33.33% conditional probability thatat least one lands on 6 given that the dies land on different numbers

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes.

All outcoms of the dices:

Format(Dice A, Dice B)

(1,1), (1,2), (1,3), (1,4), (1,5),(1,6)

(2,1), (2,2), (2,3), (2,4), (2,5),(2,6)

(3,1), (3,2), (3,3), (3,4), (3,5),(3,6)

(4,1), (4,2), (4,3), (4,4), (4,5),(4,6)

(5,1), (5,2), (5,3), (5,4), (5,5),(5,6)

(6,1), (6,2), (6,3), (6,4), (6,5),(6,6)

36 in all

Total outcomes:

In this question, we want all with no repetition.

There are 6 repetitions, they are (1,1), (2,2), ..., (6,6). So 36 = 6 = 30 outcomes.

Desired outcomes:

One landing on six:

(6,1), (6,2), (6,3), (6,4), (6,5), (1,6), (2,6), (3,6), (4,6), (5,6).

10 desired outcomes.

Probability:

10/30 = 0.3333

33.33% conditional probability thatat least one lands on 6 given that the dies land on different numbers

Answer: The coefficient of x tells you the slope.

The constant tells you the y-intercept.

Step-by-step explanation:  see the attachment

Step-by-step explanation:

firstly in equation y= 2x+6 suppose the value of y as zero and find the value of x. again suppose the value of x as 0 and find the value of y. Do the same for other equation as well and you get two values of X and y.

Also find the slope of each equation by the formula :

slope= - coefficient of x / coefficient of y. and solve by plotting the points according to the slope.

Answer: 95 degrees.

Step-by-step explanation:

A quadrilateral has a total combined angle measure of 360 degrees. If you do 360-(80+110+75) it would equal 95.

Answer:

Option C is the correct option

Solution,

The sum of the angles in the quadrilateral is 360°

Let the forth angle be X

X + 80° + 110° + 75° = 360°

Calculate the sum:

X + 265° = 360°

Subtract 265° on both sides

X + 265° - 265° = 360° - 265°

Calculate the difference

X = 95°

Hope this helps...

Good luck on your assignment...

Answer:

vol = 62 in³

Step-by-step explanation:

First determine r (see attached image) by using pythagorean theorem.

a² = b² + c²

a = 3 in

b = 3/2 = 1.5 in

c = r

3² = 1.5² + r²

r = [tex]\sqrt{3^{2}-1.5^{2} }[/tex]

r = 2.598 in

Get the area = n/2 * a * r

n = number of sides = 6

r = 2.598 in

Area = 6/2 * 3 * 2.598

Area = 23.38 in²

get the volume = 1/3 * Area * h

Area = 23.38 in²

h = 8 in (as given)

vol = 1/3 * 23.38 * 8

vol = 62 in³

Answer:

use photomath and it will solve ur problem

A and B are not independent events because P(A B) = 2/9 and 2/9 is not equivalent to 1/9.

Given that are two events P(A) = 1/3, P(B) = 1/3, and P(A ∩ B) = 2/9.

We need to determine if the events are independent or not.

The chance of occurrences A and B intersecting (P(A B)) must be compared to the sum of both events' individual probabilities (P(A) × P(B)) in order to assess if events A and B are independent.

Two events A and B are independent if and only if:

P(A ∩ B) = P(A) × P(B)

Let's check if this condition holds for the given probabilities:

P(A) = 1/3

P(B) = 1/3

P(A ∩ B) = 2/9

Next, add up the odds of each separately:

P(A) × P(B) = (1/3) × (1/3) = 1/9

We can infer that A and B are not independent events because P(A B) = 2/9 and 2/9 is not equivalent to 1/9.

In other words, the likelihood that one event (A) occurs influences the likelihood that another event (B) occurs, and vice versa.

The probability of both events happening at once (P(A B)) would be equal to the product of their individual probabilities (P(A) × P(B)) if A and B were independent, but this is not the case in this situation.

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