Help.... Please....
I'm not good at math.

Thus, the general solution of the given differential equation is y = Ce^(-1/(x+2)) + 2, where C is a constant, and the constant solution is y = 2.

To find the general solution of the given differential equation, we need to transform it into a separable equation. To do this, we can square both sides of the equation to get rid of the square root:
(dy/dx) = (y-2)/(x+2)^2

Now, we can separate the variables by multiplying both sides by (x+2)^2 and dividing both sides by (y-2):
(1/(y-2)) dy = (1/(x+2)^2) dx

Integrating both sides, we get:
ln|y-2| = -1/(x+2) + C

where C is the constant of integration. Solving for y, we get:
y = Ce^(-1/(x+2)) + 2

This is the general solution of the given differential equation. However, we also need to check for constant solutions. If y is a constant, then dy/dx = 0. Substituting this into the original equation, we get:
0 = (y-2)/(x+2)

Since (x+2) is never equal to zero, this implies that y-2 = 0, or y = 2. Therefore, the constant solution is y = 2.

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The statement that is false with respect to the diagram given where angle FEA is stated to be supplementary to angle HGD, is:

A. measure of angle FEB + measure of angle HGD = 180°

By definition, supplementary angles are two angles that have a sum of 180 degrees when added together, that is, one is a supplement of the other.

Given the image below, we know the following:

Since angle FEA is supplementary to angle FEA would be congruent to angle HGC, and angle HGD is congruent to angle FEB. This is because, the supplement of angle

angle FEA + angle FEB - angle FEA + angle HGD = 180° - 180°. Therefore,

angle FEB = angle HGD.

In summary, from the options given, the statement that is false with respect to the diagram given where angle FEA is stated to be supplementary to angle HGD, is:

A. measure of angle FEB + measure of angle HGD = 180°

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Answer:

The total number of nails in Susan's box is 660 nails

Step-by-step explanation:

The given parameters are;

The number of small nails in John's box = 65

The number of medium nails in John's box = 40

The number of large nails in John's box = 45

The number of medium nails in Susan's box = 176

The ratio of the nails in John's box  is given as follows;

The ratio of small nails in John's box = 65/(65 + 40 + 45) = 13/30

The ratio of medium nails in John's box = 40/(65 + 40 + 45) = 4/15 = 8/30

The ratio of large nails  in John's box = 45/(65 + 40 + 45) = 3/10 = 9/30

Given that the proportion of the nails in John's box and Susan's box are the same, we have;

The ratio of medium nails in Susan's box =  8/30

Therefore;

Where the total number of nails in Susan's box = X, we have;

8/30 × X = 176

X = 176 × 30/8 = 660 nails

The total number of nails in Susan's box = 660 nails.

Using proportions, it is found that the total number of nails in Susan's box was 660.

---------------

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Since the proportions are equal:

\(\frac{40}{150} = \frac{176}{x}\)

\(40x = 150\times176\)

\(x = \frac{150\times176}{40}\)

\(x = 660\)

The total number of nails in Susan's box was 660.

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Answer:

y=-12/11

Step-by-step explanation:

y-(-12/11)=0(x-(-12/13))

y+12/11=0(x+12/13)

y+12/11=0

y=-12/11

Since the slope equals 0, then the line is horizontal.

The probability of the event that the second dice is not smaller than the first dice is 15/36.

It's simple to rule out every option:

First die is a 1, and the second die wins 5/6.

First die is a 2, and the second die wins 4/6.

First die is a 3, and the second die wins 3/6.

First die is a 4, and the second die wins 2/6.

First die is a 5, and the second die wins 1/6.

First die is a 6, winning with a score of 0/6.

In total, 15 out of the 36 results favor the second die. All of these might be tabulated.

So the probability of the event that the second dice is not smaller than the first dice = 15/36

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Answer:

A.

Step-by-step explanation: By looking at the image it shows 2 not 4.

The only option that explains the mistake Jill made in the model is;

Option A; Jill used 3 groups of 3 tenths and 2 hundredths rather than 4 groups.

Now, this means she wants to divide 1.28 into 4 equal parts. Thus, the model must show 4 identical quotients.

The image of the model we are seeing from Jill is showing;

3 groups of 3 tenths and 2 hundredths.

Since it is showing 3 groups instead of 4 groups, the it is clear that Jill made a mistake in her model.

In conclusion, the only option that identifies the mistake correctly is option A.

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Answer:

758

Step-by-step explanation:

The largest number that can be made is 875 but it ends in 5 which makes it an odd number.

The only even number is 8 so we have to use it last.

7 is bigger than 5 so 7 goes first which means it's 758

The equation x² y² = 4 corresponds to a hyperbola when only considering x and y as variables. When considering x, y, and z as variables, the equation corresponds to a two-sheeted hyperboloid.

a) When only x and y are the variables being considered, the equation x² y² = 4 corresponds to a circle in the xy-plane. The circle has a center at the origin (0,0) and a radius of 2.

b) If x, y, and z are the only variables being considered, the equation x² y² = 4 still represents a circle in the xy-plane, but it becomes a cylinder along the z-axis. This cylinder has a center on the z-axis and a radius of 2, extending infinitely along the z-axis.

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The Zucchini will be longer than 11 feet on the ninth day.

Since 12 inches is equal to 1 foot, then 11 feet will be equal to 132 inches. Below, we are going to describe the rate of the plant's growth from day 1.

Day 1 = 6 inches

Day 2 = 6 + 9 inches = 15 inches

Day 3 = 15 + 9 + 3 = 27 inches

Day 4 = 27 + 12 + 3 = 42

Day 5 = 42 +15 + 3 = 60

Day 6 = 60 + 18 + 3 = 81

Day 7 = 81 + 21 + 3 = 105

Day 8 = 105 + 24 + 3 = 132

Day 9 = 132 + 27 + 3 = 162

We are told that on the second day, the tree grew up to 15 inches and subsequently, it grew by the same amount as the day before plus another three inches.

Going by that calculation, on the third day, the tree will grow by 9 inches plus three more inches and this continues. Finally, on the ninth day, the tree would have grown up to 162 inches which is greater than 132 inches or 11 feet.

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The plane intercepts on the x,y, z axes are 1, ∞, and 1/2. Hence, the Miller indices for the plane inside the cubic unit cell is (102).

Miller indices are used to specify planes and directions. These planes and directions could be in lattices or crystals. The number of indices will correspond to the size of the lattice or crystal.

In the given graph, the plane intercepts are:

x-intercept : 1

y-intercept : ∞  (since the planes does not intercept y-axes)

z-intercept = 1/2

Take the reciprocal:

1/1 = 1

1/∞ = 0

1/(1/2) = 2

Hence, the miller indices are (102)

The graph in your question is missing. Most likely it was like on the attached picture.

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Answer:

100

Step-by-step explanation:

The ratio of the area is the square of the ratio of the length of the sides.

ratio of lengths of sides: 15/21 = 5/7

ratio of areas: (5/7)² = 25/49

196 in.² × 25/49 = 100 in.²

Answer:

x = 9.629 meters

Step-by-step explanation:

x / 10.25 = 1.55 / 1.65

x = 1.55 / 1.65 * 10.25

x = 9.629 meters

What is the likelihood of rolling a 10 on a fair number cube numbered 1-6 is 0

Probability means possibility. It is a branch of mathematics that deals with the occurrence of a random event. The value is expressed from zero to one

The sample space in the question is 1,2,3,4,5,6

The Probability of rolling a 10 is impossible  since 10 is not a possible outcome on a number cube numbered 1 to 6.

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In ideal projectile motion, when the positive -axis is chosen to be vertically upward, the -component of the velocity of the object during the ascending part of the motion and the -component of the velocity during the descending part of the motion are b) negative, positive respectively.

In ideal projectile motion, the initial velocity of an object can be separated into its x-component (horizontal) and y-component (vertical). When the positive y-axis is chosen to be vertically upward, the object experiences a constant acceleration due to gravity.

This results in a negative y-component of velocity during the ascending part of the motion (as the object is moving upwards against gravity) and a positive y-component during the descending part of the motion (as the object is falling downwards with gravity).

To summarize, the y-component of velocity is negative during the ascending part of the motion and positive during the descending part. This is because gravity acts downwards, causing the object to slow down as it rises and speed up as it falls.

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Answer:

87 feet

Step-by-step explanation:

Two of the sides here are unknown. The one on the leftmost side is equal to 9, since on the other side it also has a length of 9 feet. The section on the top right has a length of 30-9-9=12 units. Adding all of these values together now, you get a total perimeter of:

30+9+12+9+9+9+9=87 feet

Hope this helps!

Answer:

The perimeter of this shape is 87 ft.

Step-by-step explanation:

Given that all side lengths are added together in order to find perimeter. So the perimeter is :

\(perimeter = 9 + 9 + 9 + 12 + 9 + 30 + 9\)

\(perimeter = 45 + 30 + 12\)

\(perimeter = 87 \: feet\)

Answer:

the answer is -81.48

Step-by-step explanation:

The sum of the expression is -81.48

According to the BODMAS rule, the brackets have to be solved first followed by powers or roots (i.e. of), then Division, Multiplication, Addition, and at the end Subtraction. Solving any expression is considered correct only if the BODMAS rule or the PEMDAS rule is followed to solve it.

Given here,  16.87 + (–98.35) Thus using the BODMAS rule we get the sum as  16.87 + (–98.35) =-81.48

Hence, The sum of the expression is -81.48

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The point- slope form of the line is y-5 = -0.25(x+6).

What is line?

A line is an one-dimensional figure. It has length but no width. A line can be made of a set of points which is extended in opposite directions to infinity. There are straight line, horizontal, vertical lines or may be parallel lines perpendicular lines etc.

A line with a slope of –1/4 passes through the point (–6,5)

Any line in point - slope form can be written as

y - y₁= m(x -x₁) -------(1)

where,

y= y coordinate of second point

y₁ = y coordinate of first point

m= slope of the line

x= x coordinate of second point

x₁ = x coordinate of first point

In the given problem (x₁ , y₁) = (-6,5) and m= -1/4

Putting all these values in equation (1) we get,

y-5= (-1/4) (x- (-6))

⇒ y-5 = -0.25(x+6)

Hence, the point- slope form of the line is y-5 = -0.25(x+6).

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Using the properties of densit function,

we get that f(y) has satisfied property of a density function. So, it a density function.

A probability density function, or density function, returns the value of a function at a given value of x.

The probability density function must satisfy two requirements:

We have given that, Y is a random variable and

b f(y) = by² , y>b

where , b --> the minimum possible time needed to traverse the maze.

we have check that f(y) is Probability density function or not . For this check above two requirements ,

(i) f(y) ≥ 0 for all y > 0

so, it's satisfied

(ii) Integral over all values of the random variable ₓ∫ⁿ f(y)dy = ₓ∫ⁿ(b/y²)dy where n=∞ and x = b

= ₓ[ -b/y]ⁿ

= -(0-1) = 1

Hence , f(y) is density function.

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Step-by-step explanation:

first a little help, how they got the equations :

in total they need 15 liters.

so, whatever x and y are, but together they must be 15 L.

x + y = 15

then, we are mixing x liters of 20% alcohol with y liters of 100% alcohol, that have to result in a 40% solution of (x+y) liters :

0.2x + y = 0.4(x+y)

we know from the first equation that x+y = 15, so the second equation is actually

0.2x + y = 0.4 × 15 = 6

so, we have

x + y = 15

0.2x + y = 6

do you notice something ? there is a "+ y" in both equations.

so we can actually subtract the second equation from the first, eliminate y and solve for the remaining x. and then use one of the original equating to get also y :

x + y = 15

- 0.2x + y = 6

---------------------

0.8x 0 = 9

0.8x = 9

x = 9/0.8 = 11.25 liters

x + y = 15

11.25 + y = 15

y = 15 - 11.25 = 3.75 liters

Answer:

8. 10x - 11 + 3x -2 + 3x + 1 = 180 (angle Sum of triangle)

16x - 12 = 180

16x = 192

x = 12

10. 11x - 1 + 20x - 3 = 151 ( ext. angle of triangle)

31x - 4 = 151

31x = 155

x = 5

The inequality  x > 0 ,  x all real numbers .

What do you mean by inequality?

= 3(x-2) + 12x + 2(x+2)

= 3x - 6 + 12x + 2x + 4

= 12x + 2x + 3x -6 + 4

=  17x - 2

17x - 2 = 0

x = 2/17

x > 0 ,  x all real numbers ..

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The scale factor of the dilation of the triangles is 2

From the question, we have the following parameters that can be used in our computation:

The similar triangles

The scale factor of the dilation is the division of the corresponding sides

So, we have

Scale factor = 6/3

When evaluated, we have

scale factor = 2

Hence the scale factor is 2

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Answer:

The right solution is "0.5545".

Step-by-step explanation:

According to the question,

The probability of having 6 or 7 males will be:

= \(P(6 \ males)+ P(7 \ males)\)

= \(\frac{15_C_6\times 13_C_6}{28_C_{12}} + \frac{15_C_7\times 13_C_5}{28_C_{12}}\)

= \(\frac{5005\times 1716+6435\times 1287}{30421755}\)

= \(\frac{16870425}{30421755}\)

= \(0.5545\)

The required Answer that will help in the selection of the correct option from the given statement is True.

A string builder is considered a class in JAVA API where it provides the mutual sequence of characteristics. It is used for the requirement of dynamic string manipulation. Using it to form new characters in an existing string.

In comparison with string, the following points help in differentiating the ability, function, and purpose of their creation,

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We need to calculate the present value of benefits for each machine using a discount rate of 15%. The machine with the higher present value of benefits would be the better investment choice.

Without the specific data for each machine, it is difficult to determine which machine should be selected. However, we can use the given minimum acceptable rate of return (MARR) of 15% to evaluate the machines. The MARR represents the minimum rate of return that an investor or company expects to earn on an investment. If the benefits from each machine exceed the MARR, then the investment is considered worthwhile.

Assuming that the benefits for each machine are constant over all years, we can compare the present value of benefits for each machine to determine which one should be selected. The machine with the higher present value of benefits would be the better investment choice.

Therefore, we need to calculate the present value of benefits for each machine using a discount rate of 15%. The machine with the higher present value of benefits would be the better investment choice.

In conclusion, without the specific data for each machine, we cannot determine which machine should be selected.

However, we can use the MARR of 15% to evaluate the machines and determine which one has the higher present value of benefits.
To determine which machine should be selected, we need to compare the present worth of benefits of both machines X and Z using the given MARR (Minimum Attractive Rate of Return) of 15%. The steps to calculate the present worth of benefits are:

1. Identify the benefits and costs associated with each machine.
2. Calculate the net benefits (benefits - costs) for each machine.
3. Determine the present worth of net benefits using the MARR of 15%.
4. Compare the present worth of net benefits of both machines and select the one with the higher value.

Please provide the data for machines X and Z, including costs, benefits, and the duration for which they will be in use, so that we can proceed with the calculations and recommend the best machine based on the given MARR of 15%.

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Two points

Slope

Answer:

y= -4x+0

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

Sales tax is added to the price.

From the question, we have the following parameters that can be used in our computation:

The statement is about sales tax

As a general rule

sales tax are added to the price of the item that is being bought

So, the complete statement is Sales tax is added to the price.

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