helpppppp i don’t know

SOLUTION

First let us get the monthly rate

This can be gotten using the formula

Where P is principal,

r is the percent interet rate per year, so to get monthly interest is divide by 12

i is the monthly interet.

Using column 1 to determine the rate, we have

Now, the interest rate r = 6%

The starting principal becomes

Therfore, the answer is 150000 dollars

The statement is true and the function f(x) = ln(x)/x is a solution of the differential equation x^2y' + xy = 1.

To determine whether the statement is true or false, we need to check whether the function f(x) = ln(x)/x satisfies the differential equation x^2y' + xy = 1.
Differentiating f(x) with respect to x, we get:
f'(x) = (1 - ln(x))/x^2
Substituting y = f(x) and y' = f'(x) into the differential equation, we get:
x^2f'(x) + xf(x) = 1
Substituting the expression for f'(x) we derived earlier, we get:
x^2[(1 - ln(x))/x^2] + x[ln(x)/x] = 1
Simplifying, we get:
1 - ln(x) + ln(x) = 1
The equation simplifies to 1 = 1, which is always true.
Therefore, the statement is true and the function f(x) = ln(x)/x is a solution of the differential equation x^2y' + xy = 1.
In conclusion, we have verified that the given function satisfies the differential equation. The importance of checking whether a given function satisfies a differential equation lies in its applications, as it enables us to model various physical and natural phenomena.

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Answer:

30 thats easy bro divide 90 by 3

Step-by-step explanation:

Answer:

the answer will be 30 so divide 90×3

The height of the window is about 577.16 feet and the height of the tower is about 160.63 feet.

a. We are given that the angle of elevation to the top of the tower is 39 degrees.

Let us call the height of the window x feet above the ground.

We can draw a right triangle with one leg equal to x and the other leg equal to the distance from the tower to the building, which is 410 feet.

The angle opposite the side x is the complement of 39 degrees, which is 90 - 39 = 51 degrees.

Therefore, we have:tan 51 = x / 410Solving for x, we get:x = 410 tan 51x = 577.16 feet (rounded to the nearest hundredth).

Therefore, the height of the window is about 577.16 feet.

b. We are also given that the angle of depression to the bottom of the tower is 25 degrees.

Let us call the height of the tower h feet.

We can draw another right triangle, this time with one leg equal to h and the other leg equal to the distance from the tower to the building, which is still 410 feet.

The angle opposite the side h is the complement of 25 degrees, which is 90 - 25 = 65 degrees.

Therefore, we have:tan 25 = h / 410 + hSolving for h, we get:h = (410 + h) tan 25h = 160.63 feet (rounded to the nearest hundredth).

Therefore, the height of the tower is about 160.63 feet.

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Answer:

B. 1335

Step-by-step explanation:

The formula for the volume of a cylinder is V = base x height = pi x r^2 (area of circle) x height.

r (radius) = 1/2 diameter = 1/2(10ft) = 5 ft

height = 17ft

area of the base = pi x (5 feet)^2 = (25 x pi) ft^2

putting all together, V = (25 x pi)ft^2 x 17 feet = 1335.177 ft^3

But if you don't have a calculator, just remember that pi is around 3.14. Using 3.14 as pi gives 1334.5, so also close enough.

Hi there!

\(\large\boxed{f(4) = 33}\)

f(x) = -3x² + 11x + 37

Substitute in 4 for x to find f(4):

f(4) = -3(4)² + 11(4) + 37

f(4) = -3(16) + 44 + 37

f(4) = -48 + 44 + 37

f(4) = 33

a. The population be after 5 years will 9,277.43.

b.  It will take approximately 46.0517 years for the population to reach half of its initial size.

To solve this problem, we can use the formula for exponential decay:

P(t) = P0 * e^(rt)

where P(t) is the population at time t, P0 is the initial population, r is the decay rate (expressed as a decimal), and e is Euler's number.

Given:

P0 = 10,000 (initial population)

r = -0.015 (decay rate, as the population is decreasing)

t = 5 years (time period)

(a) To find the population after 5 years, we can substitute the values into the exponential decay formula:

P(5) = 10,000 * e^(-0.015 * 5)

Using a calculator or computer software to evaluate this expression:

P(5) ≈ 10,000 * e^(-0.075)

P(5) ≈ 10,000 * 0.927743486

P(5) ≈ 9,277.43

Therefore, the population after 5 years will be approximately 9,277.43.

(b) To determine the year when there will be half of the population, we need to find the value of t that makes P(t) equal to half of the initial population (P0/2 = 10,000/2 = 5,000).

5,000 = 10,000 * e^(-0.015t)

Dividing both sides by 10,000:

0.5 = e^(-0.015t)

To isolate the variable t, we can take the natural logarithm (ln) of both sides:

ln(0.5) = -0.015t

Using a calculator or computer software:

t ≈ ln(0.5) / -0.015

t ≈ 46.0517

Therefore, it will take approximately 46.0517 years for the population to reach half of its initial size.

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Answer:

I did this worksheet a long time ago

Answer: A, B, C, and D have the same volumes:  100 units^3

Step-by-step explanation:

The details are attached.  Use the volume formula for the respective shapes.  Bear in mind that B is he area of the base (I assume).  It is the

\(\pi\)\(r^{2}\) in the formulas that have a round base, and the width x length for bases that are rectangular (or square).

The supply of styluses is falling at a rate of 0.0144p² styluses per week.

To determine the exact rate of change in supply, we need to look at the equation provided: 500p²x² = 1996. We can rearrange this equation to solve for x, which represents the supply of styluses:

x² = (1996/500p²)

x = √(1996/500p²)

Now, we can differentiate this equation with respect to time to find the rate of change in supply:

dx/dt = (-1/2)(1996/500p²)(-1000p²/1996)*dp/dt

Simplifying this equation, we get:

dx/dt = (6/25)p²dp/dt

Using the information provided in each situation, we can plug in the appropriate values to find the rate of change in supply:

In the first situation, where the price is rising at 12 cents per week, dp/dt = 0.12. Plugging this into the equation above, we get:

dx/dt = (6/25)(p²)(0.12) = 0.0288p²

This means that the supply of styluses is rising at a rate of 0.0288p² styluses per week.

In the second situation, where the price is falling at 6 cents per week, dp/dt = -0.06. Plugging this into the equation above, we get:

dx/dt = (6/25)(p²)(-0.06) = -0.0144p²

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Answer:

in half of the baskets

Step-by-step explanation:

half of 40 baskets is 20 baskets

Answer: H = 35

Step-by-step explanation:

You do 20.00+5*h

Answer: 11

Step-by-step explanation:

To find the number of ways to get from point A to point B on a system of roads without visiting any of the 9 intersections more than once, we can use the concept of permutations.

Let's assume that there are n intersections between points A and B. In this case, there are (n+1) possible locations where you can start, including A and the n intersections. To calculate the number of ways, we can start at any of these (n+1) locations and then choose a different intersection at each step until we reach point B.  At the first intersection, we have n options to choose from. At the second intersection, we have (n-1) options, and so on, until we reach the last intersection before point B, where we have 1 option remaining.

To find the total number of ways, we can multiply the number of options at each step Total number of ways = n * (n-1) * (n-2) * ... * 1 = n! For example, if there are 9 intersections between A and B, there are 10 possible locations to start. The total number of ways would be 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1 = 362,880 ways to get from A to B without visiting any of the intersections more than once. In summary, the number of ways to get from A to B without visiting any of the 9 intersections more than once is 362,880.

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The question relates to Eulerian Path in graph theory that visits every edge (or intersection) exactly once in a network (or road system). A definitive answer depends on the layout and connections between intersections.

The number of ways to get from point A to point B without visiting any of the 9 intersections more than once is a problem related to graph theory in Mathematics. Graph theory studies paths, routes, and networks, and has a broad range of applications from road design to computer network architecture.

The problem you're asking about is often referred to as the Eulerian Path problem, named after the mathematician Leonhard Euler. An Eulerian Path is a path in a graph (or city road network) that visits every edge (or intersection) exactly once.

However, to give a definite answer, one would need a clearer picture of the situation, that is, how the intersections are laid out and connected. If all intersections are connected in such a way that you can form a continuous path without any isolation, then multiple solutions may exist.

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Answer:

5x  

2

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Answer:

Loading...

Step-by-step explanation:

Answer:

IJ = 15

Step-by-step explanation:

Since ∠ I ≅ ∠ H , then Δ HIJ is isosceles with sides JH and IJ congruent.

Thus IJ = JH = 15

If a sequence is defined using previous terms, it is known as a recursively defined sequence.

This type of sequence relies on the previous terms to determine the next term in the sequence. The number of terms that are required to define a recursively defined sequence varies depending on the specific sequence. However, if the first few terms of the sequence are given, it can help determine the pattern and the formula used to generate subsequent terms. A good understanding of recursive sequences can be helpful in many areas, including computer programming, mathematics, and finance. A sequence that is defined using its initial terms and a rule relating its subsequent terms to the previous ones is called a recursively defined sequence. In such sequences, each term's value depends on one or more earlier terms. The first few terms serve as the basis, and the recursive formula generates the remaining terms. This approach allows us to find any term in the sequence based on previous ones, ensuring a consistent pattern and progression.

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Answer:

6

Step-by-step explanation:

13-7=6

Answer:

I will say 2x + 13 = -21

Step-by-step explanation:

Answer:

given:

height[h]=8mm

radius [r]=5mm

Now,

Volume of cone=1/3 πr²h=⅓×3.14×5²×8=209mm³

C) 209 mm³ is a required answer.

Answer:

profit : $28

profit percentage: 14%

Step-by-step explanation:

his profit :    $1.14 times 200kg = $228

228 -200 = 28

28 divided by 200 = 0.14

0.14 times 10 = 14 %

The final answer is the basis for null(A) is:

null(A) = { [-1, 1/2, 1] } Given the matrix A:
A = [ 1  1 -5 ]
     [ 0  2  1 ]
     [ 1 -1 -6 ]

Let's find the bases for row(A), col(A), and null(A):
1. row(A) - The row space is the set of linear combinations of the rows of A. In this case, row(A) already consists of linearly independent rows. Therefore, the basis for row(A) is the rows themselves:
row(A) = { [1  1 -5], [0  2  1], [1 -1 -6] }

2. col(A) - The column space is the set of linear combinations of the columns of A. To find the basis for col(A), we can simply take the columns of A:
col(A) = { [1  0  1], [1  2 -1], [-5  1 -6] }

3. null(A) - The null space of A is the set of all vectors x that satisfy the equation Ax = 0. To find the basis for null(A), we first row reduce A to its row-echelon form:
RREF(A) = [ 1  0  1 ]
                [ 0  1 -1/2 ]
                [ 0  0  0 ]

From the RREF, we can see that there is one free variable (the third one). Setting this variable to t, we can find the other variables in terms of t:

x3 = t
x2 = 1/2t
x1 = -t

The null space vector x is then given by:

x = [-1, 1/2, 1]t

So the basis for null(A) is:
null(A) = { [-1, 1/2, 1] }

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Answer:

The solution to the equation is x = 0.38 or -18.38

Step-by-step explanation:

x^2+18x=7 can be properly written as

\(x^{2} +18x =7\)

To solve by completing the square, divide the coefficient of x by 2, square and then add to both sides

i.e 18/2 = 9

Then add 9² to both sides of the equation

\(x^{2} +18x + 9^{2} = 7 + 9^{2}\)

This becomes

\((x+9)^{2} = 7 + 81\)

\((x+9)^{2} = 88\)

\(x+9 = \pm \sqrt{88}\)

\(x = -9 \pm\sqrt{88}\)

\(x = -9 \pm 9.38\)

∴ \(x = -9+9.38 or -9-9.38\)

\(x = 0.38 or -18.38\)

Hence, x = 0.38 or -18.38

Answer:

-1=x

Step-by-step explanation:

4/3-3x+5/2=-6x+5/6

8/6-3x+15/6=-6x+5/6

23/6-3x=-6x+5/6

18/6-3x=-6x

3-3x=-6x

3=-3x

-1=x

The correct answer is (a) fixed number of trials because there is no fixed number of trials in this case.

The doctor has the patients flip the coins until the end of the session, and then asks them to report the number of heads they got. Which of the following conditions for using the binomial model is not satisfied?The doctor has coins with a 50% chance of coming up heads. The doctor has patients flip the coins until the end of the session. The patients will then report how many heads they got. Which of the following conditions for using the binomial model is not met?The condition that is not satisfied for the use of the binomial model is a fixed number of trials. Since there is no fixed number of trials, the doctor may have to flip the coins several times. It is essential that the number of trials is fixed so that the binomial model can be used properly.In a binomial experiment, there are a fixed number of trials, each trial has two possible outcomes, the trials are independent, and the probability of success is the same for each trial. If any of these conditions are not met, the binomial model cannot be used. Therefore, the correct answer is (a) fixed number of trials because there is no fixed number of trials in this case.

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Therefore , the solution of the given problem of slope comes out to be I has a slope of 2, the line through the points (6,-5) and (-7,2) is therefore perpendicular to line I.

A sharp line is determined by its slope. Equations that depend on gradients are susceptible to the phenomenon known as gradient overflow. One can determine the slope by dividing their total run (width differentiation) and visits (increasing distinction) among the two locations. The fixed path problem is modelled by the equation y = mx + b who takes the slope variance into account. when all values.

Here,

Each of the given lines' slopes can be determined using the formulas below:

Slope for OA is equal to (4 - (-3))/(7 - 12) = 7/-19.

Slope is equal to (6 - (-7))/(2 - (-5)) = 13/7.

OD: slope = (6-(-7))/(2-(-8)) = 13/5 OC: slope = (2-(-5))/(6-(-7)) = 7/13

We can now determine which pair of slopes the equation m1 x m2 = -1 applies to. Line I, for instance, yields the following equation if its slope is 2:

=> (7/19) x 2 ≠ -1 (not perpendicular)

=> (13/7) x 2 ≠ -1 (not perpendicular)

=> (7/13) x 2 = -1 (perpendicular)

=> (13/5) x 2 ≠ -1 (not perpendicular)

Given that line I has a slope of 2, the line through the points (6,-5) and (-7,2) is therefore perpendicular to line I.

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Answer:

d -x=y the awnssr may not be correct but I tried so

The work of  5/6 more than 360 is equal to 660.

To calculate what 5/6 is out of 360, you can use the following steps:

Divide 360 by 6 (the denominator of the fraction) to determine the value of 1/6.

360 / 6 = 60 Multiply the value of 1/6 by the numerator (5) to find the value of 5/6.

60 * 5 = 300

Step 1: Calculate 5/6 of 360.

To find 5/6 of a number, you multiply that number by the fraction 5/6. In this case, we want to find 5/6 of 360. To do that, we multiply 360 by 5/6:

(5/6) * 360 = (5 * 360) / 6 = 1800 / 6 = 300

So, 5/6 of 360 is equal to 300.

Step 2: Add the result to 360.

To find 5/6 more than 360, we take the result from Step 1, which is 300, and add it to 360:

300 + 360 = 660

Therefore, 5/6 more than 360 is equal to 660.

In summary, by calculating 5/6 of 360, we found that it is 300. Adding 300 to 360 gives us the final result of 660, which represents 5/6 more than 360.

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Answer:

60 feets

Step-by-step explanation:

Given that :

Using Pythagoras rule :

Hypotenus = sqrt(Adjacent^2 + opposite^2)

From the attached picture :

x² = 87^2 - 63^2

x^2 = 7569 - 3969

X^2 = 3600

Take the square root of both sides :

X = sqrt(3600)

X = 60 feets

Hence, Katy and Tony are 60 feets apart