. Find the general solution to
d²y/dx²= 49y. Enter your answer as an equation y = ..

Note: d²y/dx²=k^2y

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

[tex]\texttt{Yes, there's a local maximum at -9,} [/tex] [tex] \texttt{and it is 9} [/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

By Observing the graph, we can easily conclude that there's a local maxima at -9

[tex] \textsf{And f(-9) = 9} [/tex]

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The entry that it will pass on the accounting book based on the information about Galaxy Star Corporation is the credit sales.

It should be noted that credit sales are the sales where the amount that is owed will be paid at alter date.

From the information given, we were informed that the payment will be made after 20 days. Therefore, the appropriate entry will be in town credit sales.

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The function s = f(w) = 12 + 4w represents the relationship between the number of stamps (s) and the number of weeks (w) option (A) is correct.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have:

Neil started a stamp collection with 12 stamps. Every week, he adds 4 more stamps to the collection.

The number of stamps is s and the number of weeks is w.

s = f(w) = 12 + 4w

Because Every week, he adds 4 more stamps to the collection

Thus, the function s = f(w) = 12 + 4w represents the relationship between the number of stamps (s) and the number of weeks (w) option (A) is correct.

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Answer:

-3/2, -1

Step-by-step explanation:

Each coordinate contains one [tex]x[/tex] value and one [tex]y[/tex] value, [tex](x,y)[/tex].

If we work out the midpoint of each of these individually, it makes it much easier to find the midpoint of the line.

Let's take the [tex]x[/tex] values first. Our first  [tex]x[/tex] value is -4 and our second [tex]x[/tex] value is 1. Imagine the integers between -4 and 1 laid out in a sequence:

[tex]-4, -3, -2, -1, 0, 1[/tex]

If you take the middle value of this sequence, you get the midpoint of the [tex]x[/tex] values.

In this case, the middle is between values -2 and -1, leaving us with a midpoint of -1.5. This as a fraction is [tex]-\frac{3}{2}[/tex].

Now let's look at the [tex]y[/tex] values. Our first [tex]y[/tex] value is 2 and our second [tex]y[/tex] value is -4. Again, let's imagine those numbers laid out in a sequence:

[tex]2, 1, 0, -1, -2, -3, -4[/tex]

Here, the middle of these values is -1, and this is the midpoint of the [tex]y[/tex] values.

So if we put these two values in a coordinate, we get the midpoint of the line.

In this case, we get [tex](-\frac{3}{2} ,-1)[/tex].

Answer:

Step-by-step explanation:6 type

5/25=1/5=20%

1-1/5=4/5=80%

The types of candles are 6. And the probability of a small pink candle and NOT a small pink candle will be 0.20 and 0.80, respectively

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)

The table is given below.

                     Small                 Medium              Large               Total

White               9                         3                        5                       17

Pink                 5                         2                         1                        8

Total               14                        5                         6                       25

The types of candles are given as,

⇒ 2 x 3

⇒ 6

The probability of a small pink candle is as,

P = 5/25

P = 0.20

The probability of NOT a small pink candle is as,

Q = 1 - P

Q = 1 - 0.20

Q = 0.80

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Substituting in p = 1/2,

[tex]\frac{1}{2}=\frac{8}{v}\\ \\ v=\boxed{16}[/tex]

Part 1

f(2) represents the value of y when x=2, which is 3

Part 2

We need to find the value of x that makes y=2, which is -1

Janelle rode the bus to the bus stop, talked with a friend, and then walked home ,  Option D is the correct answer.

The missing graph is attached with the answer.

A graph which shows change in distance with respect to time is called Time- Distance Graph.

It is used to calculate velocity.

As in the graph we it can be seen that , The distance is decreasing at a constant speed ,

then the distance becomes constant with time

and then again decreases but with a lower rate

This means

Janelle rode the bus to the bus stop (distance to time rate is high)

talked with a friend (distance is constant with time)

and then walked home. (distance to time rate is low)

Therefore Option D is the correct answer.

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Answer:

Janelle rode the bus to the bus stop, talked with a friend, and then walked home.

Step-by-step explanation:

Answer:

It's choice G or H

Step-by-step explanation:

The cube and the disc are representative of the variable r and a 1 (a single unit) The question says "Using the representations above..." Hopefully right before this question it tells you (above) which is the variable and which is the single unit.

The left and right sides of the balance are going to represent the left and right sides of the equation, with the = equal sign being the middle.

The 2 on the left side and the 18 on the right side will need to have the same image representing it on both sides (2 on the left, 18 on the right) because they are both numerical values. Then, there should also be one shape on the left that stands for the variable. Without seeing the info that preceded the question, it is either Answer G or Answer H. Edit in the additional info. I will be able to say exactly which one. But I bet you can see it!

Answer:

09

Step-by-step explanation:

09

Unit rate is the quantity of an amount of something at a rate of one of another quantity.

The rate at which the oil burns.

1 hour = 2/3 ounce

At 12 noon = 193/3 = 64.33 ounces

At 2 pm = 63 ounces

At 5 pm = 61 ounces

The amount of oil at 12 noon is 64.33 ounces.

It is the quantity of an amount of something at a rate of one of another quantity.

In 2 hours, a man can walk for 6 miles

In 1 hour, a man will walk for 3 miles.

We have,

A camper lights an oil lantern at 12 noon and lets it burn continuously. Once the lantern is lit, the lantern burns oil at a constant rate each hour.

At 2 p.m., the amount of oil left in the lantern is 63 ounces.

At 5 p.m., the amount of oil left in the lantern is 61 ounces.

This means,

Amount of oil burnt in the lantern from 2 pm to 5 pm.

= 63 ounces - 61 ounces
= 2 ounces

Now,

3 hours = 2 ounces

2 hours = 1.33 ounces

1 hour = 0.67 ounces

Now,

The number of hours from 12 noon to 2 pm.

= 2 hours

So,

The amount of oil at 12 noon.

= 63 + 4/3

= (189 + 4) / 3

= 193/3 ounces

Thus,

The amount of oil at 12 noon is 65 ounces.

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C) The probability that you pick at least one purple marble is 98%.

The question is incomplete, since the number of marbles of each color in the bag is missing: 3 blue, 5 green, and 2 purple marbles.

Now, to answer the questions, the following calculations must be done:

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Answer:C) The probability that you pick at least one purple marble is 98%.

Step-by-step explanation:

Answer:

[tex]\left[\begin{array}{}0&\\1&\\-2&\\1&\end{array}\right][/tex]  t in R   Correct option (B)

Step-by-step explanation:

Orthogonal vectors : We say that 2 vectors are orthogonal if they are perpendicular to each other. i.e. the dot product of the two vectors is zero.

Dot product : The dot product of two vectors is equal to the sum of the products of the individual components of the two vectors.

for the given vector (a, b, c, d) to be orthogonal its dot product with each vector must be 0

therefore (1, 2, 1, 0).(a, b, c, d) = 0

                        a + 2b+ c+ 0    = 0    -------- (i)

similarly   (1, -1, 1, 3 ).(a, b, c, d) = 0

                        a - b + c + 3d    = 0   -------- (ii)

                 (2, -1, 0, 1).(a, b, c, d) = 0

                        2a - b + 0 + d   = 0 ---------- (iii)

subtracting equation (i) from (ii)

a - b + c + 3d - a - 2b - c - 0 = 0

                               -3b + 3d = 0

                                           b = d

substituting  b = d in (iii)

                       2a + b + 0 + b = 0

                                 2a + 2b = 0

                                           a = 0

substituting a = 0 , b = d in (i)

                       0 + 2d + c + 0 = 0

                                          c   = -2d

thus for any t ∈ R, vector(0, t, -2t, t)  will make the given set orthogonal

the above vector can also be written as (0, 1, -2, 1)

therefor option B is correct

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5.7y-5.2=y/2.5

Add 5.2 to both sides:

5.7y = y/2.5 + 5.2

y/2.5 = 0.4y

5.7y = 0.4y + 5.2

Subtract 0.4y from both sides:

5.3y = 5.2

Divide both sides by 5.3:

y = 5.2/5.3

y = 0.98113

Answer:

y = 0.981

Step-by-step explanation:

Given expression:

Solution:

Subtract 0.4y from both sides:

Add 5.2 to both sides:

Divide both sides by 5.3:

Hence, y = 0.981.

[tex]\quad \huge \quad \quad \boxed{ \tt \:Answer }[/tex]

____________________________________

[tex] \large \tt Solution \: : [/tex]

[tex]\qquad \tt \rightarrow \: 6(3x - 7) = 2[/tex]

Step 1 -

[tex]\qquad \tt \rightarrow \: 18x - 42 = 2[/tex]

[ distributive property ]

Step 2 -

[tex]\qquad \tt \rightarrow \: 18x = 2 + 42[/tex]

[tex]\qquad \tt \rightarrow \: 18x = 44[/tex]

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Answer:

d) Step 1: 18x - 42 = 2

Step 2: 18x = 44

Step-by-step explanation:

Given equation,

→ 6(3x - 7) = 2

Now the value of x will be,

→ 6(3x - 7) = 2

→ 6(3x) - 6(7) = 2

→ 18x - 42 = 2

→ 18x = 2 + 42

→ 18x = 44

→ x = 44/18

→ [ x = 22/9 ]

Hence, value of x is 22/9.

The approximate length of fencing she needs will be 41.42 feet. Then the correct option is D.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Janet is fencing a triangular portion of her yard, which has measurements as shown.

She postulates fencing for the two sides of the yard that do not include the house.

She also requires fencing for the third side of the yard, except for the portion taken up by the house.

Then the approximate length of fencing she needs will be

Let x be the length of fencing.

Then we have

⇒ x + 100 + 100

Then we have

x = c – 100

Then the value of c is given by the Pythagoras theorem. Then we have

c² = 100² + 100²

c² = 10000 + 10000

c² = 20000

c = 141.42 ft

Then the value of x will be

x = 141.42 – 100

x = 41.2 feet ≈ 41 feet

Then we have

⇒ 41 + 100 + 100

⇒ 241

Then the correct option is D.

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Step-by-step explanation:

hope you can understand

An equation is formed of two equal expressions. The medals won by country A, country B, and country C is 79, 26, and 11, respectively.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the number of medals won by country A, country B, and country C be represented by A, B, and C, respectively. Now, the given conditions can be written as,

1.) The top three countries country A, country B, and country C won a total of 120 medals.

A + B + C = 120

2.) Country B won 11 more medals than country C

B = C + 11

3.) Country A won 38 more medals than the total amount won by the other two.

A = B + C + 38

A - 38 = B + C

Substitute the value of B+C form the last equation to the first equation,

A + A - 38 = 120

A = 79

Now, Substitue the value of A and B(from second equation)  in the first equation,

79 + C + 11 + C = 120

C = 15

Now, substitute the value of C in the second equation,

B = C + 11

B = 15 + 11

B = 26

Hence, the medals won by country A, country B, and country C is 79, 26, and 11, respectively.

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A formula is a fact or rule that uses mathematical symbols. It will usually have: an equals sign (=) two or more variables (x, y, etc) that stand in for values we don't know yet.

Example: The formula for finding the volume of a box is:

x = 2y - 7 Formula (relating x and y)

a2 + b2 = c2 Formula (relating a, b and c)

Usando relaciones en un triángulo rectángulo, se encuentra que el valor del lado c es c = 35.5 unidades.

Las relaciones en un triángulo rectángulo se dan de la siguiente manera:

El lado opuesto de el ángulo de 26º48' = 26.8º es de 16, de esa forma, puede-se encontrar el lado c de la siguiente manera:

[tex]\sin{(26.8^\circ)} = \frac{16}{c}[/tex]

[tex]c = \frac{16}{\sin{(26.8^\circ)}}[/tex]

c = 35.5º.

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The correct answer is option b which is the break-even quantity will be 20217 units.

The point at which the company will not have any profit and loss on the products they manufactured they only get the amount they invested in manufacturing the product is called the break-even point.

Given that:-

If fixed costs are $281,000, the unit selling price is $33, and the unit variable costs are $21, the break-even sales (units) if fixed costs are reduced by $38,400.

The formula for calculating break-even quantity will be given as:-

[tex]BEQ = \dfrac{FC}{SP-VC}[/tex]

Here,

FC = Fixed cost = $281000

SP = Selling price = $33

VC = Variable cost = $21

The fixed cost is reduced by $38400 so the fixed cost now:-

FC = $281000 - $38400

FC = $242600

[tex]BEQ = \dfrac{242600}{33-21}[/tex]

BEQ = 20217 units

Therefore the correct answer is option b which is the break-even quantity will be 20217 units.

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Answer:

the answer is 4gn Puig IT in

Answer:

K could be 7 or 8

Step-by-step explanation:

If K was to be 7, the equation would be x^2 + 7x + 12 = (x+3)(x+4)

If K was to be 8, the equation would be x^2 + 8x + 12 = (x + 2)(x + 6)

Given that [tex]f(x) = x[/tex] and [tex]g(x) = 2x^3[/tex], we have

[tex]f(g(x)) = f(2x^3) = 2x^3[/tex]

and

[tex]g(f(x)) = g(x) = 2x^3[/tex]

Answer:

d

Step-by-step explanation:

Leah have to put down 13% of the total money in order to pay for the home.

The amount of money a person borrows from a bank to buy a house is termed as Home Loan.

It is given that

Leah wants to buy a home for $380,000

The amount of money he can get from bank is $ 330,600

The amount of money Leah needs to have

= $ 380000 - $ 330600 = $49400

The percentage Leah have to put down in order to pay for the home is

=($49400 /$380000 ) * 100%

= 0.13 * 100 %

= 13%

Therefore Leah have to put down 13% of the total money in order to pay for the home.

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Answer:

5 lbs 1 oz

Step-by-step explanation:

This year Lucille weighs 106 lb 13 oz. A

year ago she weighed 101 lb 12 oz. How

much has she gained in the year?

16oz = 1 lb

13 oz = 13/16 = .8125

12 oz = 12/16 = 3/4 = .75

106.8125 - 101.75

106.8125

-101.7500

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

   5.0625 =

5.0625 = 5 1/16

1/16 of a pound is 1oz

5 lbs 1 oz

Answer:

11. always

12. always

13. always

14. never

15. never

16. always

17. always

18. sometimes

19. sometimes

20. never

Step-by-step explanation:

11. A line can be defined by at least two points

12. A plane can be defined by at least three points

13. If two planes intersect, then they form a line at the intersection.

14. If two lines intersect, then they form a point at the intersection (not a segment).

15. A line does not have any endpoints (infinite in both ways).

16. If two planes are not parallel they will always intersect.

17. If two lines are not parallel they will always intersect.

18. Two points are sometimes collinear. It depends on where they are.

19. Two points are sometimes coplanar. It depends on where they are.

20. Ray MN and NM are not the same ray because the end points are different.