HELP PLEASE Rectangular prism with a length, width, and height of 1/5 cm, 4/5cm, and 3/5 cm, respectively

Answer:

128/15 minutes or 8.5 minutes

Step-by-step explanation:

By using unitary method, Time required to paint 5/8 of wall = 16 minutes.

Time required to paint 1/1 of wall = 16*8/5

Hence, Time required to paint 1/3 of wall = 16*8/5*1/3

Hope this helps, thank me later

Answer:

8.53 minutes

Step-by-step explanation:

The vector function that represents the curve of intersection of the cone and the plane is:

r(t) = [t, (t^2 - 9) / 6, √(t^2 + ((t^2 - 9)/6)^2)]

For a vector function that represents the curve of intersection between the cone and the plane, we need to set the equations of the cone and the plane equal to each other and solve for x, y, and z.

The cone equation is given as: z = √(x^2 + y^2)

The plane equation is given as: z = 3 + y

Setting these two equations equal to each other, we have:

√(x^2 + y^2) = 3 + y

To eliminate the square root, we can square both sides of the equation:

x^2 + y^2 = (3 + y)^2

x^2 + y^2 = 9 + 6y + y^2

Simplifying the equation, we have:

x^2 - 6y = 9

Now we can express x and y in terms of a parameter t to create the vector function r(t):

x = t

y = (t^2 - 9) / 6

Substituting these values back into the cone equation to find z:

z = √(x^2 + y^2) = √(t^2 + ((t^2 - 9)/6)^2)

Therefore, the vector function that represents the curve of intersection of the cone and the plane is:

r(t) = [t, (t^2 - 9) / 6, √(t^2 + ((t^2 - 9)/6)^2)]

Note that this is a parametric representation of the curve, where t is the parameter that determines points on the curve.

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The statements that are true for each system of equations are System A and System B have unique solutions, while System C has infinitely many solutions.

System A: The system has a unique solution since it consists of two linear equations with two variables that intersect at a single point. This point can be found by solving for x and y using any of the available methods, such as substitution or elimination.

System B: The system has a unique solution since it consists of two linear equations with two variables that intersect at a single point. This point can also be found by solving for x and y using any of the available methods.

System C: The system has infinitely many solutions since the two linear equations are equivalent. This means that any point that satisfies one equation also satisfies the other. Therefore, the solution set is a line on the xy-plane.

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The center and the radius by completing the square of the given equation of circle is x² + y² - 32x+24y +396 = 0 is C( -16, 12) and radius is 2.

The equation of the circle is given as x² + y² - 32x+24y +396 = 0.

Comparing the given equation with general equation of circle, x² + y² + 2gx + 2fy + c = 0.

The center of circle is C = (-g, -f)

The radius of circle is r = √g² + f² - c

Therefore, from the given equation,

2g = -32

g = -16

2f = 24

f = 12

C( -16, 12)

And the radius is

r = √(-16)² + (12)² - 396

= √256 + 144 -396

=√4

= 2

Hence, the center and the radius by completing the square of the given equation of circle is x² + y² - 32x+24y +396 = 0 is C( -16, 12) and radius is 2.

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The probability that the point will also be inside the circle will be 0.7854.

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences.

Then the probability is given as,

P = (Favorable event) / (Total event)

A square has a circle inside it. If a square's the inside point is chosen at random.

The length of the edge of the square and the diameter of the circle will be congruent. Then the probability that the point will also be inside the circle will be given as,

P = [(π/4)a²] / [a²]

P = π/4

P = 0.7854

The probability that the point will also be inside the circle will be 0.7854.

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Answer: X = -12

Step-by-step explanation:

-5x+12-7x=-3(5x+8)

To solve this, first open the bracket.

-5x+12-7x= -15x - 24

Then, collect like terms

-5x + 15x - 7x= -24 - 12

3x = -36

x = -36/3

x = -12

Answer:

Step-by-step explanation:

Answer:

Today: Thursday, 05 November 2020

Hour: 13.59 WIB (Indonesia)

_______________________________

Answer:

124922593425

Step-by-step explanation:

if u do the probblem u get dis

First row = 25

Second row = 27

Third row = 29

This is 25, 27, 29...

there are 30 rows, this is n = 30

common difference = d = 27 - 25 = 2

then, we use the formula:

so, 83 is the last term:

that mean 1620 total seats, therefore:

answer: $4,050,000

There will be only 6  cubes with only one side painted red.

Cube : A cube is a 3D shape having 6 equal square sides. it has 6 faces , 8 vertices and 12 edges.

According to the question

A 3 cm cube is divided into one centimeter cube.

Every face will have 9 cube each and from that 9 cube there will be only one 1 cube that will have one side painted red.

Since there are 6 faces,

cubes painted one side red = 6x1=6.

Therefore , There will be only 6  cubes with only one side painted red.

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Answer:

I think you can just write down something like: 1+1=2(to the power of 3)= 8+1= 9. And then you graph that!

Step-by-step explanation:

Hope this helps!

Answer:

In no 4 you have written option B but it should be option C. All of the other except it is correct.

Answer:

1

Step-by-step explanation:

(-2)^2 +5(-2)+7=

= 4-10+7=

=1

The first derivative of the function y = e^x at x = 5 can be estimated using centered difference approximations. The resulting approximate values for the first derivative are 148.4131 (O(h^2)) and 148.4132 (O(h^4

For O(h^2), the centered difference formula for the first derivative is:

f'(x) ≈ (f(x + h) - f(x - h)) / (2h)

Substituting x = 5 and h = 0.1 into the formula, we get:

f'(5) ≈ (f(5 + 0.1) - f(5 - 0.1)) / (2 * 0.1)

      = (e^(5 + 0.1) - e^(5 - 0.1)) / (2 * 0.1)

      ≈ (e^5.1 - e^4.9) / 0.2

Calculating this expression yields the approximate value of the first derivative with O(h^2) as 148.4131.

For O(h^4), the centered difference formula for the first derivative is:

f'(x) ≈ (-f(x + 2h) + 8f(x + h) - 8f(x - h) + f(x - 2h)) / (12h)

Substituting x = 5 and h = 0.1 into the formula, we get:

f'(5) ≈ (-f(5 + 0.2) + 8f(5 + 0.1) - 8f(5 - 0.1) + f(5 - 0.2)) / (12 * 0.1)

      = (-e^(5 + 0.2) + 8e^(5 + 0.1) - 8e^(5 - 0.1) + e^(5 - 0.2)) / 1.2

      ≈ (-e^5.2 + 8e^5.1 - 8e^4.9 + e^4.8) / 1.2

Calculating this expression yields the approximate value of the first derivative with O(h^4) as 148.4132.

Centered difference approximations are numerical methods used to estimate derivatives of a function. The O(h^2) formula for the first derivative is derived from Taylor series expansions and provides an approximation with an error term proportional to h^2. The O(h^4) formula is an improvement over the O(h^2) formula and has an error term proportional to h^4.

To estimate the first derivative at x = 5 for h = 0.1 using the O(h^2) formula, we evaluate the function at x + h and x - h, and then divide the difference by 2h. This gives us the slope of the tangent line at x = 5, which approximates the first derivative. The same process is followed for the O(h^4) formula, but it involves evaluating the function at x + 2h, x - 2h, and using appropriate coefficients to calculate the weighted average.

In this case, for both O(h^2) and O(h^4), the function y = e^x is evaluated at x = 5 + h, 5 - h, 5 + 2h, and 5 - 2h, with h = 0.1. The difference between function values at these points is divided by the corresponding factor to obtain the approximation for the first derivative.

The resulting approximate values for the first derivative are 148.4131 (O(h^2)) and 148.4132 (O(h^4

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If we have:

Then, the first option must be matched with -20. That is:

In this question, we need to be careful with the value of i^2 = -1, and we also need to expand the quadratics in every given expression.

2. For the next expression, we have:

3. For the next expression, we have:

4. The result for the next expression is:

5. The result for the next expression is:

Answer:

standard or standards

Step-by-step explanation:

Answer:

300

Step-by-step explanation:

5 x 8 = 40

12 x 8 = 96

13 x 8 = 104

Now the area for a triangle is Area: length x width x 1/2

12 x 5 = 60 x 1/2= 30

And since there are two triangles and they are the same

30 + 30= 60

Add all area points

40 + 96 + 104 + 30 + 30 = 300

15 less than the product of e and d

the product of e and d is express as;

15 is less than product of e and d

15 is less than ed

15 < ed

Answer : 15 < ed

The probability of Event 1 is 5/36 and the probability of Event 2 is 1/2.

Comparing the results of the roll of two fair die yields the probability of each of the following events:

There are 6 × 6 = 36 outcomes that could occur.

Event 1: The total exceeds eight.

There are five outcomes where the total exceeds eight.

P(Event 1)=5/36

Event 2: The sum can be divided by two.

Where the total is divisible by 2, there are 18 possible results.

The likelihood of this occurrence is:

P(Event 2) =18/36

P(Event 2) equals 1/2

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Answer:

point A is (-1.5, 1.5)

Step-by-step explanation:

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a) The number of ways to form a committee of 6 people from the department is 177,100.

b) The number of ways to form a committee of 6 people with an equal number of men and women is 54,600.

c) The number of ways to form a committee of 6 people with more women than men is 91,455.

a) To form a committee of 6 people from the department, we can choose 6 individuals from a total of 25 people (10 men + 15 women). The order in which the committee members are chosen does not matter, and we are not concerned with any specific positions within the committee. Therefore, we can use the concept of combinations.

The number of ways to choose 6 people from a group of 25 is given by the combination formula:

C(25, 6) = 25! / (6! * (25 - 6)!) = 25! / (6! * 19!) = 177,100

Therefore, there are 177,100 ways to form a committee of 6 people from the department.

b) In this case, we need to choose an equal number of men and women for the committee. We can select 3 men from the available 10 men and 3 women from the available 15 women. Again, the order of selection does not matter.

The number of ways to choose 3 men from 10 is given by the combination formula:

C(10, 3) = 10! / (3! * (10 - 3)!) = 10! / (3! * 7!) = 120

Similarly, the number of ways to choose 3 women from 15 is:

C(15, 3) = 15! / (3! * (15 - 3)!) = 15! / (3! * 12!) = 455

To find the total number of ways to form a committee with an equal number of men and women, we multiply these two combinations:

Total = C(10, 3) * C(15, 3) = 120 * 455 = 54,600

Therefore, there are 54,600 ways to form a committee of 6 people with an equal number of men and women.

c) In this case, we need to form a committee with more women than men. We can choose 1 or 2 men from the 10 available men and select the remaining 6 - (1 or 2) = 5 or 4 women from the 15 available women.

For 1 man and 5 women:

Number of ways to choose 1 man from 10: C(10, 1) = 10

Number of ways to choose 5 women from 15: C(15, 5) = 3,003

For 2 men and 4 women:

Number of ways to choose 2 men from 10: C(10, 2) = 45

Number of ways to choose 4 women from 15: C(15, 4) = 1,365

The total number of ways to form a committee with more women than men is the sum of these two cases:

Total = (Number of ways for 1 man and 5 women) + (Number of ways for 2 men and 4 women)

     = 10 * 3,003 + 45 * 1,365

     = 30,030 + 61,425

     = 91,455

Therefore, there are 91,455 ways to form a committee of 6 people with more women than men.

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The given function is:

At x = 0:

Therefore, one point is (0, 3)

At x = 12:

Another point is (12, 0)

The graph of g(x) considering the points (0, 3) and (12, 0) is plotted below

The value of the given equation is 12.

In order to solve this question, the BODMAS rule would be used. The BODMAS rule gives the order in which mathematical operations can be solved. The order is:

In the numerator:

the addition would be done first: 3² + 1 = 9 + 1 = 10

Then the subtraction would be done next = 14 - 10 = 4

Now determine the square of the term in the bracket : 4²= 16

In the denominator:

The multiplication would be solved first: 3 x 1/4 = 3/4

The next step is  to solve the division : 1 ÷ 3/4 = 1 x 4/3 = 4/3

The fraction becomes : 16 ÷ 4/3

16 x 3/4 = 12

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Answer:

The answer is 432

Step-by-step explanation:

I did the k 12 quiz and I got it right! good luck

Answer:  (x - 5)(6x + 11)

Step-by-step explanation:

Let's factorie the given expression using middle term splitting method.

Thus, we have ;

=> 6x² - 19x - 55

=> 6x² - 30x + 11x - 55

=> 6x(x - 5) + 11(x - 5)

=> (x - 5)(6x + 11)

Hence,

The equivalent expression of 6x² - 19x - 55 is :

(x - 5)(6x + 11).

Answer:

12/325

Step-by-step explanation:

Purple marble: 8/26 = 4/13

Blue marble after: 3/25

3/25*4/13 = 12/325

Answer:

1/5

Step-by-step explanation:

We can find the slope using the slope formula

m = (y2-y1)/(x2-x1)

   = (3-2)/(4 - -1)

   (3-2)/(4+1)

    1/5

Answer:

3

Step-by-step explanation:

We can use the slope formula

m = ( y2-y1)/(x2-x1)

   = ( -9 -0)/(4 - 7)

   = -9/-3

   = 3

Answer:

Correct answer is option D. 96.4 yd.

Step-by-step explanation:

Please refer to the attached figure for labeling of the given diagram.

ABC is a triangle with the following labeling:

A is the hole, B is the Tee and C is the point where the ball is.

Sides are labeled as:

\(a =255\ yd\\c = 305\ yd\\\angle B =17^\circ\)

To find:

Side \(b = ?\)

Solution:

Here, we have one angle and two sides . Third side of the triangle is to be found opposite to the given angle.

We can use cosine formula here to find the value of the unknown side.

\(cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}\)

Putting all the values:

\(cos 17 = \dfrac{255^{2}+305^{2}-b^{2}}{2\times 255\times 305}\\\Rightarrow 0.956 = \dfrac{65025+93025-b^{2}}{155550}\\\Rightarrow 148753.2= 158050-b^{2}\\\Rightarrow b^{2}= 158050-148753.2\\\Rightarrow b^{2}= 9296.795\\\Rightarrow b= 96.42\ yd\)

So, the distance between the Ball and hole is 96.42 yd

Correct answer is option D. 96.4 yd.

Answer:

D.) 96.4 yd

Step-by-step explanation:

I got it correct on founders edtell