Pls someone help me. I rlly need to get this done

Answer:

This question is based on the simple and compound interest topic.

In this question, we simply use a formula to find compound interest (the interest over the interest).

A = P( 1+r/100 )^t

here,

P = principal amount

r = rate of interest        

t = time

A = Final amount.

In the question, we have given values

Principal amount  = $400

rate of interest = 5%  annually

time is given= 2years

we need to find a final amount A

we simply put  the value in the formula

A = 400 (1+5/100)^2

A= 400(1+1/20)^2

A = 400(21/20)^2

A =400*(21/20)*(21/20)

A = 400*1.05*1.05

A = 441$

the final amount is 441$

The principal stresses are those that act on the principal planes. There are three principal stresses on a point under force.  

The principal stresses are those that act on the principal planes. The plane bearing the greatest normal stress is referred to as the principal plane, and the stress acting on it is referred to as the principal stress.

When a force is applied on an inclined plane, the force can be divided into two subparts, the first component of the force is perpendicular to the plane and is known as the normal force, while the second component of the force is parallel to the plane and is known as the shear stress.

The principal stresses at a point can be found using the following formulas, therefore, the principal stresses will be,

\({\sigma}'_{xx}=\sigma_{xx}cos(2\theta)+\sigma_{yy}sin(2\theta)+2\tau_{xy}sin(\theta)cos(\theta)\)

\({\sigma}'_{yy}=\sigma_{xx}sin(2\theta)+\sigma_{yy}cos(2\theta)-2\tau_{xy}sin(\theta)cos(\theta)\)

\({\tau}'_{xy}=(\sigma_{yy}-\sigma_{xx})sin\theta cos\theta+\tau_{xy}(cos2\theta-sin2\theta)\)

Hence, there are three principal stresses on a point under force.

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The wire should be cut at 6.67 meters for the square and 3.33 meters for the equilateral triangle.

To maximize the total area enclosed by the square and the equilateral triangle, we need to determine the optimal lengths of the wire used for each shape. Let's break down the problem step by step:

Let's assume the length of the wire used for the square is x. Therefore, the length of the wire used for the equilateral triangle will be 10 - x.

For the square, all sides are equal, so each side will have a length of x/4.

For the equilateral triangle, all sides are equal as well, so each side will have a length of (10 - x)/3.

The area of a square is given by side squared, so the area of the square will be (\(x/4)^2 = x^2/16.\)

The area of an equilateral triangle is given by (sqrt(3)/4) * side squared, so the area of the equilateral triangle will be\([(\sqrt{(3)/4)} * ((10 - x)/3)^2] = (\sqrt{(3)/36)} * (10 - x)^2.\)

The total area enclosed will be the sum of the areas of the square and the equilateral triangle:\(x^2/16 + (\sqrt{(3)/36)} * (10 - x)^2.\)

To find the maximum area, we can take the derivative of the total area function with respect to x, set it equal to zero, and solve for x.

Differentiating the total area function with respect to x, we have:

\((1/16) * 2x - (2\sqrt{(3)/36)} * (10 - x) = 0.\)

Simplifying and solving for x, we get:

\((1/8) * x = (\sqrt{(3)/18)} * (10 - x).\)

Multiplying both sides by 8/3, we have:

x = (8/3) * (10 - x).

Simplifying further, we get:

4x = 80 - 8x.

Combining like terms, we have:

12x = 80.

Dividing by 12, we get:

x = 80/12 = 6.67.

Therefore, to maximize the total area enclosed, the wire should be cut at approximately 6.67 meters for the square and (10 - 6.67) = 3.33 meters for the equilateral triangle.

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The acceleration of the object when a force of 14 N acts on it will be 7 m/s².

We can use the proportionality relationship between force and acceleration to solve this problem. The relationship can be expressed as:

F = k a

where F is the force, a is the acceleration, and k is a constant of proportionality.

We are given that the force and acceleration are directly proportional, so we can set up a proportion using the given information:

10 N / 5 m/s² = 14 N / a

Solving for a, we can cross-multiply and simplify:

10 N * a = 5 m/s² * 14 N

a = (5 m/s² * 14 N) / 10 N

a = 7 m/s²

Therefore, the acceleration of the object when a force of 14 N acts on it will be 7 m/s².

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Answer: 5 units

Step-by-step explanation:

The standard form of equation of circle:

\((x-h)^2+(y-k)^2=r^2\) , where (h,k) = center of circle, r= radius.

Given : Center of circle= origin = (0,0) =(h,k)

Point on circle = (3,4)

Put x= 3 , y=4 , h=0 , k=0 , then the equation will become

\((3-0)^2+(4-0)^2=r^2\\\\\Rightarrow\ 9+16=r^2\\\\\Rightarrow\ 25=r^2\\\\\Rightarrow\ r=5\)

Hence, the radius is 5 units long.

Given:

Total number of patches = 39

Total number of rows = 3

To find:

The number of patches in each row.

Solution:

We have,

Total number of patches = 39

Total number of rows = 3

We need to divide the total number of patches by total number of rows to find the number of patches in each row.

\(\text{Number of patches in each row}=\dfrac{39}{3}\)

\(\text{Number of patches in each row}=13\)

Therefore, the number of patches in each row is 13.

The Correct answer is Option C) b = 2v/ah

To solve for b in the formula for the volume of a triangular prism.

The formula for the volume of a triangular prism is V = 1/2 abh. We want to solve this formula for b. For that, we need to isolate b on one side of the equation.

First, we can start by multiplying both sides by 2 to eliminate of the fraction 2V = abh

Next, we need to isolate b by dividing both sides by ah, 2V/ah = b

Therefore, the formula for b is b = 2V/ah.

This formula tells us how to calculate the base of a triangular prism given its volume, height, and the length of one of its sides or altitude.

By solving the formula for v = 1/2 abh for b we get the answer as Option C) b = 2v/ah

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Answer:

y = 3 \((2)^{x}\)

Step-by-step explanation:

an exponential function in standard form is

y = a\(b^{x}\)

use 2 points to find a and b

using (0, 3 ) , then

3 = a \(b^{0}\) [ \(b^{0}\) = 1 ] , so

3 = a

y = 3\(b^{x}\)

using (1, 6 ) , then

6 = 3 \(b^{1}\) = 3b ( divide both sides by 3 )

2 = b

y = 3 \((2)^{x}\) ← is the exponential function

Answer:

point-slope form, standard form, and slope-intercept form

Step-by-step explanation:

The three main types of linear functions are: point-slope form, standard form, and slope-intercept form.

Here is an image with each form

The approximate real solution to the equation x^3 - 6x + 2 = 0 lies between -10 and 10 and is approximately x ≈ -0.91.

The correct choice is A).

To find the approximate real solution to the equation x^3 - 6x + 2 = 0, we can use a graphing utility to visualize the equation and identify the x-values where the graph intersects the x-axis. By observing the graph, we can approximate the real solutions.

Upon graphing the equation, we find that there is one real solution that lies between -10 and 10. Using the graphing utility, we can estimate the x-coordinate of the intersection point with the x-axis. This approximate solution is approximately x ≈ -0.91.

Therefore, the approximate real solution to the equation x^3 - 6x + 2 = 0 is x ≈ -0.91. This means that when x is approximately -0.91, the equation is satisfied. It is important to note that this is an approximation and not an exact solution. The use of a graphing utility allows us to estimate the solutions to the equation visually.

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Answer:

B, 1.37

Step-by-step explanation:

If we're combing, then the first thing you figure out is how much her sister walked and her brother walked combine. Her sister walked 1.23 and her brother walked 0.85, and when you combine you add so add the 2.

1.23 + 0.85 = 2.08 miles

If you want to figure out how much MORE, you must figure out the difference, which means to subtract, so subtract the miles molly walked by the combined number.

3.45 - 2.08 = 1.37 miles

Answer = 1.37 miles (B)

Answer:

4^20

Step-by-step explanation:

When you have an exponent raised to another exponent, you multiply the exponents.

Answer:

i) 524.25feet

ii) 11secs

Step-by-step explanation:

1) Given the height of the rocket modelled by the equation

h = -16t² + 180t + 18 where

t is in seconds

At the maximum height, the velocity of the object is zero.

v(t) = dh/dt = 0

dt/dt = -32t + 180

0 = -32t + 180

32t = 180

t = 180/32

t = 5.625secs

Get the maximum height

h = -16t² + 180t + 18

h = -16(5.625)² + 180(5.625) + 18

h = -16(31.640625)+ 180(5.625) + 18

h = -506.25+1,012.5+18

h = 524.25feet

Hence the maximum height a launched item  could reach is 524.25feet

ii) The item will hit the water at h = 0

Substitute inti the expression

h = -16t² + 180t + 18

0 = -16t² + 180t + 18

16t² - 180t - 18 = 0

Divide through by 2

8t² - 90t - 9 = 0

t = 90±√90²-4(8)(-9)/2(8)

t = 90±√8100+288/16

t = 90±√8,388/16

t = 90±91.586/16

t = 90+91.586/16

t = 181.586/16

t = 11.35sec

Hence the item hit the water after 11secs (to nearest whole number)

20 ounces

Step-by-step explanation:

no exceptions

Answer:

12232

Step-by-step explanation:

116*2=232

6000*2=12000

12000+232=12232

The probability of the teacher selecting one green popsicle can be calculated by dividing the number of green popsicles in the box (4) by the total number of popsicles in the box (24). The probability of selecting one green popsicle is: P(green) = 4/24 = \(1/6 ≈ 0.1667\)

This means that there is a 16.67% chance of the teacher selecting a green popsicle from the box. To describe this simple event, we can say that the teacher will randomly select one popsicle from the box and the probability of that selected popsicle being green is 1/6.

If the teacher repeated this experiment many times (selecting one popsicle at a time), we would expect to see a green popsicle selected approximately once in every six trials.

It's important to note that this probability assumes that all the popsicles in the box are equally likely to be selected and that the teacher is selecting the popsicle at random without any bias or preference towards any specific color.

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4 m/s is the final speed of the 3.0 kg cart.

When two bodies of different masses move together each other and have a head-on collision, they travel in the same or different directions after a collision. This phenomenon is called the conservation of momentum.

The external force is not working here, so the initial momentum is equal to the final momentum. For elastic collision, the final velocities are different for both bodies.

m₁u₁ +m₂u₂ = m₁v₁ +m₂v₂

A 2.0  kg cart moving right at 5.0  m/s on a frictionless track collides with a 3.0 kg cart initially at rest. The 2.0 kg cart has the final speed of 1.0 m/s  to the left.

Substitute the values, m₁ = 2kg, m₂ =3kg, u₁ =5 m/s and u₂ =0 m/s, then the final velocity will be

3x0 +2x5 = -2x1 + 3v₂

v₂ = 4 m/s

Thus, the final velocity 3.0  kg cart is  4 m/s.

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Answer:

-3 1/4

Step-by-step explanation:

In a competitive market, we need to graph the market demand and supply curves and determine the equilibrium quantity. The equilibrium quantity represents the quantity at which the demand and supply curves intersect.

To sketch the supply and demand curves, we first need to gather information on the market demand and supply. The demand curve represents the quantity of ventilators that the four hospitals are willing to purchase at different prices, while the supply curve represents the quantity of ventilators that the four producers are willing to sell at different prices.

Using the multipoint drawing tool, we can plot the market demand curve based on the data provided for the hospitals. Label this line as 'Demand'. Next, using the same tool, we can plot the market supply curve based on the data provided for the producers. Label this line as 'Supply'.

The equilibrium quantity is determined at the point where the demand and supply curves intersect. It represents the quantity of ventilators that will be sold in the market. To find this point, we identify the quantity at which the demand and supply curves meet on the graph.

By following the instructions and accurately plotting the demand and supply curves, we can determine the equilibrium quantity of ventilators sold in the market.

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To find the center of mass of the planar lamina, introduce an appropriate coordinate system and follow the steps mentioned below. Round your answers to three decimal places.

To introduce an appropriate coordinate system and find the center of mass of a planar lamina, follow these steps:
1. Choose a coordinate system: Select a coordinate system that best suits the problem and simplifies the calculations. Common choices are Cartesian (x, y), polar (r, θ), or any other suitable coordinate system.
2. Assign coordinates to each point: Label each point on the lamina with its respective coordinates according to the chosen coordinate system.
3. Determine the mass of each point: Assign a mass to each point on the lamina. This can be done by considering the density of the material and the area element at each point. If the mass is not explicitly given, assume it to be 1 for simplicity.
4. Find the total mass of the lamina: Sum up the masses of all the points on the lamina to obtain the total mass.
5. Calculate the x-coordinate of the center of mass: Multiply the x-coordinate of each point by its mass, and then sum up these products. Divide the result by the total mass to get the x-coordinate of the center of mass.
6. Calculate the y-coordinate of the center of mass: Multiply the y-coordinate of each point by its mass, and then sum up these products. Divide the result by the total mass to get the y-coordinate of the center of mass.
7. Round the answers: Round the x-coordinate and y-coordinate of the center of mass to three decimal places, as specified in the question.
Therefore, to find the center of mass of the planar lamina, introduce an appropriate coordinate system and follow the steps mentioned above. Round your answers to three decimal places.

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To find the radius of convergence, we can use the ratio test.

Let's apply the ratio test to the series:

sigma^[infinity]_n=1 4(−1)^n nx^n

The ratio test tells us that the series converges if the limit of the absolute value of the ratio of the (n+1)th term to the nth term is less than 1:

lim n -> infinity |a_n+1 / a_n| < 1

where a_n = 4*(-1)^n * n * x^n.

Let's compute the ratio of the (n+1)th term to the nth term:

|a_n+1 / a_n| = |4*(-1)^(n+1) * (n+1) * x^(n+1) / (4*(-1)^n * n * x^n)|

             = |(n+1) / n| * |x|

             = (n+1) / n * |x|

We want to find the values of x for which the above limit is less than 1. So we need to solve the inequality:

lim n -> infinity (n+1) / n * |x| < 1

Taking the limit as n approaches infinity, we get

lim n -> infinity (n+1) / n * |x| = |x|

lim n -> infinity (n+1) / n * |x| = |x|

So the inequality reduces to:

|x| < 1

Therefore, the radius of convergence R is 1.

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9514 1404 393

Answer:

  a) 540°

  b) 720°

  c) 900°

  d) 1440°

Step-by-step explanation:

The total measure of internal angles of a convex polygon is given by the formula ...

  sum of angles = 180°(n -2) . . . . for an n-sided polygon

So, you count the sides, subtract 2, and multiply that result by 180°.

__

a) 180°(5 -2) = 540°

b) 180°(6 -2) = 720°

c) 180°(7 -2) = 900°

d) 180°(10 -2) = 1440°

Answer:

c = 13

Step-by-step explanation:

a² + b² = c²

5² + 12² = c²

25 + 144 = c²

169 = c²

√169= √c²

13 = c

Answer:

BC = 9

Step-by-step explanation:

The Line BE = BC + CD + DE

The Line BE = X + 25.

The Line BC = 9 + X

The Line CD = 5

The Line DE = X + 11

Therefore

BE = BC + CD + DE

BE - CD - DE = BC

(X + 25) - (5) - (X + 11) = 9 + X

X + 25 - 5 - X - 11 = 9 + X

9 = 9 + X

0 = X

So

BC = 9 + X

BC = 9 + 0

BC = 9

We want to find the x-intercepts of the polynomial

this means, we want to find where this functon crosses the x axis. Recall that the x axis is the line y=0. So we want to solve this equation

if we multiply both sides by -1, we get

on the right, we have a difference of squares, so we can factor it out as

now, as this is a product of numbers, this means that each of the number could be 0. This means we have two different equations, which are

and

on the first one, if we subtract 4 on both sides, we get

and on the second one, if we add 4 on both sides, we get

so the x-intercepts of the polynomial are x=4 and x= -4

Answer:

289.92

Step-by-step explanation:

Multiply the numbers together

\(\longrightarrow{\green{289.9275}}\) ✅

Step-by-step explanation:

\(39.99 \times 7.25 \\ \\ = 289.9275\)

\(\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{♡}}}}}\)

Answer:

perimeter =22m

area=28square meter

perimeter of rectangle=4l

22m=4l

22÷4=l

5.5=l

l=5.5m

area of rectangle =l×b

28=5.5×b

28÷5.5=b

5.09=b

b=5.09m

length =5.5m and breadth =5.09m answer !!!!

The process takes approximately 14 iterations to reach the desired accuracy.

The Bisection Method will take approximately 14 iterations to find the approximate root of the equation within an error tolerance of 0.001. The mathematics calculations involve finding the midpoint of a given interval [a, b] and then determining whether the midpoint is a root of the equation. If it is not a root, then the interval is divided into two halves, and the process is repeated on the subinterval where the sign of the function changes. This process is repeated until the midpoint is within the desired error tolerance.

To calculate the number of iterations required, we begin by noting that the initial interval used is [1, 0]. The midpoint of this interval is 0.5. This value is then plugged into the function to determine if it is a root. Since it is not, the interval is then divided into two halves and the process is repeated. This process is repeated until the midpoint is within the desired error tolerance of 0.001. In this case, it takes approximately 14 iterations to reach the desired accuracy.

The complete question is:

Given the function f(x) = x^3 - x^2 - 4 and an initial approximation of x = 1, how many iterations of the Bisection Method are required to find the approximate root of the equation within an error tolerance of 0.001?

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