Find the particular solution of the differential equation passing through the given point.

(1+x2)dy=(x+1)ydx,(2,2)

Answer:

40000, 20000

Step-by-step explanation:

Let the amount a grandchild receives be \(x\). Then, the amount a child receives is \(2x\).

Thus, \(220000=2(2x)+7x=11x \implies x=20000\).

This means each grandchild gets $20,000 and each child gets $40,000.

Answer:

30°

Step-by-step explanation:

the total angels of the triangle is 180

180-75-75=30

and since the Angle of 30 and x^0 are Head opposite angles , then x^0 = 30°

Cultural sensitivity is crucial in elder care. Cultural beliefs impact elderly care. A foreign-raised nursing student desires to care for her mother and sisters until her mother's passing.

Consider cultural values: Students from certain backgrounds may see caring for their elderly parents as a moral duty. Respecting elder beliefs is critical in discussing care options. Have open, non-judgmental communication with the nursing student. Show empathy and listen to her perspective.

Educate the nursing student about caring for a loved one with medical and psychiatric problems. Explain physical, emotional, and financial consequences, including effects on relationships and responsibilities.

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Answer:

12 toppings

Step-by-step explanation:

5*9=45

540/45=12

The number of toppings in the ice cream cone are 9.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Given that, there are 540 ways to make an ice cream sundae consisting of one flavor of ice cream, one topping, and one type of syrup.

Let the number of toppings be x.

So, 9×5×x=540

⇒ 45x=540

⇒ x=9

Therefore, the number of toppings in the ice cream cone are 9.

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Answer:

y=1

Step-by-step explanation:

-3y+3+8y-24=6y+7-5y

5y+3=7+y

4y=4

y=1

Answer:

the gross value is for 17 a hour

Step-by-step explanation:

Answer:

find the vertical asymptote of the graph of f(×) = (×+3) +2.

Answer:

Solution:

Given,

Work = 27 N

Displacement = 3 m

According to question,

Force = ?

As we know,

Work = Force × Displacement

or, 27 = Force × 3

or, Force = 27/3

i.e, Force = 9 N

Answer:

Step-by-step explanation:

The central angles for each category are approximately: Red: 100°, Blue: 150°, Green: 50° and Purple: 60°

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

To find the central angle of each category, we first need to calculate the total number of people:

Total = 20 + 30 + 10 + 12 = 72

Next, we can calculate the percentage of people who prefer each color:

Red: 20/72 = 0.278, or 27.8%

Blue: 30/72 = 0.417, or 41.7%

Green: 10/72 = 0.139, or 13.9%

Purple: 12/72 = 0.167, or 16.7%

To find the central angle for each category, we can multiply the percentage by 360°:

Red: 0.278 × 360° = 100.08°

Blue: 0.417 × 360° = 150.12°

Green: 0.139 × 360° = 50.04°

Purple: 0.167 × 360° = 60.48°

Therefore, the central angles for each category are approximately:

Red: 100°, Blue: 150°, Green: 50° and Purple: 60°

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Answer:

194.4

Step-by-step explanation:

V=l*w*h

V=12*4.5*3.6

V=194.4

Answer: D.

Step-by-step explanation:

Water is continually pumped out of underground aquifers to prevent flooding and to provide drinking water. This makes the soil compact, causing the city to sink.

Answer:

The correct answer is D. underground aquifers being over pumped

Step-by-step explanation:

Answer:

ANSWER: Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents.

Step-by-step explanation:

convert all % to decimals

0.06 x 21 = $1.26 tax

0.15 x 21 = $3.15 tip

1.26 + 3.15 = $4.41 added payment

4.41 + 21 = = $25.41 total bill

(yes i am aware i did the method differently since i learned it another way but the answer should till be correct.)

Answer:

Yes. They have enough to pay their bill: 21 dollars times 1.06 = 22 dollars and 26 cents and 22 dollars and 26 cents times 1.15 = 25 dollars and 60 cents. Otherwise B.

Answer:

To approximate the location of the square root of 14 on a number line, we can first find the two integers that √14 is between. We know that:

3^2 = 9 < 14 < 16 = 4^2

So √14 is between 3 and 4. We can divide the distance between 3 and 4 into equal parts and estimate the location of √14 based on where it falls in that interval.

Dividing the interval into 10 equal parts, we get:

3.0 - 3.1 - 3.2 - 3.3 - 3.4 - 3.5 - 3.6 - 3.7 - 3.8 - 3.9 - 4.0

Since √14 is closer to 3 than to 4, we can estimate its location as being closer to 3.4 than to 3.5. Therefore, a good approximation for the location of √14 on the number line is 3.7.

Answer:

m = 0.122

Step-by-step explanation:

1 * 11 = 2 *45m

11 = 2*45m

11/2 = 45m

5.5/45 = m

The area not covered by the white board is 192 cm².We can find by using area of rectangular formula.

A rectangle is a quadrilateral that has its parallel sides equal to each other and all the four vertices are equal to 90 degrees. Hence it is also called quadrilateral. Since the opposite sides are equal and parallel in rectangle.

The area is measurement of the surface of a shape. To find the area of a rectangle or a square you need to multiply the length and the width of a rectangle.The formula for the Area of a Rectangle is A = l × b. The area of any rectangle is calculated once its length and width are known.

Now we find

A white rectangular board 28 cm long and 16 cm wide.

Substitute the respective values

Area of White Board = 28 *16

The area of white board is 448 cm²

Wooden board creates a border of 2 cm around it.

Wooden Board dimension = (28 + 2 + 2) cm long and (16 + 2 + 2) cm wide

Wooden Board dimension = 32 cm long and 20 cm wide.

The area of Wooden board = 32*20=640

The area not covered by the white board is

640 cm² - 448 cm² = 192 cm²

The area not covered by the white board is 192 cm².

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Answer:

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Step-by-step explanation:

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The solution of the system of linear equations, is (1.167, 3.667).

Given that the system of linear equations, y = -2x+6 and y = 4x - 1, we need to find the solution for the same,

y = -2x+6............(i)

y = 4x - 1.......(ii)

Equating the equations since the LHS is same,

-2x+6 = 4x-1

6x = 7

x = 1.167

Put x = 1.16 to find the value of y,

y = 4(1.16)-1

y = 4.66-1

y = 3.667

Therefore, the solution of the system of linear equations, is (1.167, 3.667).

You can also find the solution using the graphical method,

Plot the equations in the graph, the point of the intersection of both the lines will be the solution of the system of linear equations, [attached]

Hence, the solution of the system of linear equations, is (1.167, 3.667).

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Answer:

50%

Step-by-step explanation:

The only numbers that are multiples of 2 are all even numbers. From 1 to 10 there are a total of 5 even numbers, meaning that only 5 sections are multiples of 2. Therefore, the probability of the arrow landing in a section that is labeled with a number that is a multiple of 2 would be

5/10  if we simplify this it would be 1/2 or 50%

Finally, we can say that the probability of the arrow landing on one of these sections is 50%

Answer:

20% or 1/5 or 0.2

Step-by-step explanation:

i took the test

Answer:

90,000

Step-by-step explanation:

................

Answer:

let the three consecutive even integers be x

So, x + x + x = 402

3x = 402

x = 402/3

x = 134

Therefore, one consecutive even integer is 134.

A one-to-one correspondence between the set of all positive integers and the set of all rational numbers exists.

By definition, any rational number can be expressed as a fraction a/b, where a and b are integers and b is nonzero. Since any positive integer can be expressed as the fraction a/1, each positive integer can be associated with a rational number a/1.

Thus, there is a one-to-one correspondence between the set of all positive integers and the set of all rational numbers. Furthermore, since any rational number a/b can be expressed as the product of a and b, it can also be associated with the product of two positive integers a and b.

Thus, there is also a one-to-one correspondence between the set of all rational numbers and the set of all positive integers.

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Answer:

c

Step-by-step explanation:

77°F is equivalent to 45°C as per the given equation.

The correct formula for conversion is,°F = (°C × 9/5) + 32, and 77°F is equivalent to 25°C

This is a problem with the temperature conversion. We can solve this problem by following a few steps.

F = C +32 as per the question and the temperature is given as 77°. We have to convert this temperature to degrees Celsius. We can write C as (F-32).

Hence the  formula for C can be written as C = F - 32

Now we can find convert the temperature,

C = F - 32  

Or, C = 77 - 32    [ subtracting 32 from both sides ]

Or, C = 45

Here we can conclude that 77°F is equivalent to 45°C as per the question.

The correct formula for conversion is,

°F = (°C × 9/5) + 32

Or, 77 = (C × 9/5) + 32

Or, (C × 9/5) = 77 - 32               [ subtracting 32 from both sides ]

Or, (C × 9/5) = 45                      [ multiplying both side with 5/9 ]

Or, C = (45×5) / 9 = 25

According to the correct conversion equation, 77°F is equivalent to 25°C

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Answer:

y =0

Step-by-step explanation:

y=-2(x-3)

Let x= 3

Find the value of y

Substitute this value into the equation

y=-2(3-3)

y = -2(0)

y = 0

EVALUATING

=================================================================

First plug 3 in the place of y:

\(\texttt{y=-2(\bf{3}\texttt{-3)}}\)

This can be simplified:

\(\large\texttt{y=-2(0)}\)

After we simplify this we will get y

\(\huge\texttt{y=0}\)

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According to the table, the rate of change of the function is of -3.

The rate of change of a function is given by the change in the output y divided by the change in the input x.

In this problem, when x changes by 3, y changes by -9, hence:

\(m = \frac{-9}{3} = -3\)

The rate of change of the function is of -3.

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Answer:

17

Step-by-step explanation:

The diagonals in a parallelogram bisect each other, creating two equal halves. So HV = 1/2 of XV

HV = XV/2

HV = 34/2

HV =17

The required value of HV = 17.

From the graph
For the parallelogram XWVY
XV = diagonal of parallelogram

parallelogram is quadrilateral whose opposite side is parallel.

XV = diagonal
XV = 34

Since the diagonal of a parallelogram bisect each other.
So,
HV = XV/2
HV = 34/2
HV = 17

Thus, The required value of HV = 17.

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Answer:

Answer:

2/3

Step-by-step explanation:

Given:

Number of eclairs = 3

Number of humbugs =2x+6=2(x+3)  

Number of mints =  x

Therefore, total number of sweets in the jar is,

s=3+2x+6+x=3x+9=3(x+3)

Now, probability of selecting a sweet to be humbug is given as:

 p(humbug)= number of humbugs/number of sweets

p(humbug)=2(x+3)/3(x+3)=2/3

Therefore, the probability that it is a humbug is 2/3

Step-by-step explanation:

The length of side b of the given right angle triangle using law of sines is; b = 12.044 m

The law of sines states that when we divide side "a" by the sine of angle A, it is equal to side "b" divided by the sine of angle B, and also equal to side "c" divided by the sine of angle C

Thus;

a/sin A = b/sin B = c/sinC

The parameters are;

B = 42°

c = 18m

Since c is the hypotenuse, it is the side that will be opposite the right angle and so;

C = 90°

Thus, using sine rule;

c/sinC = b/sin B

18/sin 90 = b/sin 42

b = (18 * sin 42)/1

b = 12.044 m

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