3/2=12 y=
Pls help ASAP

Answer:

\(25x = 1250\)

\(\frac{1250}{25}\)

x=50

x has value 50

Answer:

4(x + 1/4) ≤ 9 + 2x

Step-by-step explanation:

The given differential equation is separable. By rearranging the terms and integrating both sides, we get the solution y^3 = C/x^2, where C is the constant of integration.

The given differential equation is dx/dy = -2y^2/(6xy+3y^2-2x). We notice that the right-hand side can be written as a fraction with a numerator and a denominator, both of which contain y^2. We can simplify this expression by factoring out y^2 from the numerator and denominator:

dx/dy = -2y^2/(2x+3y^2(2x/y^2)+y^2)

dx/dy = -2y^2/(2x+6xy/y^2+3y^2)

dx/dy = -2y^2/(2x+3y^2+3xy/y^2)

Now we can separate the variables by multiplying both sides by dy/y^2 and then rearranging the terms:

dx/(2x+3y^2+3xy/y^2) = -2dy/y

Integrating both sides, we get:

1/3 ln|2x+3y^2+3xy/y^2| = -2ln|y| + C

where C is the constant of integration. We can simplify the left-hand side by using the fact that ln(a*b) = ln(a) + ln(b) and ln(a^n) = n ln(a):

ln|2x+3y^2+3x/y| - 2ln|y| = ln|2x+3y^2/x| + ln|y^(-2)|

ln|2x+3y^2+3x/y| - 2ln|y| = ln|2x+3y^2/x| - ln|y^2|

ln|2x+3y^2+3x/y|/|y^2| = ln|2x+3y^2/x|/|y^2| + ln|y|

Taking the exponential of both sides, we get:

(2x+3y^2+3x/y)/y^2 = e^(C/y^2)

Simplifying and rearranging, we get:

y^3 = C/x^2

where C = e^C is a new constant of integration. Therefore, the general solution to the differential equation is y^3 = C/x^2.

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Answer: y = -3x + 2

Step-by-step explanation:

According to the slope-intercept form, y = mx + b, you would plug in your values into the equation. Since -3 is the m value and 2 is the b value, the answer would be y = -3x + 2.

Answer:

you didnt spell it correctly

Step-by-step explanation:

Answer:

1:36

Step-by-step explanation:

Length:

6 inches : 18 feet

1 ft = 12 inches

6 inches = 6/12 = 0.5 ft

Length:

0.5 ft : 18 ft

then. rhe scale is:

1: 36

CosA is negative for the largest angle in an obtuse triangle. Using the law of cosines, a²>b²+c², a>b, and a>c are derived.

Step 1: As the obtuse triangle has the largest angle A (more than 90 degrees), the cosine function's value is negative.

Step 2: By applying the Law of Cosines in the triangle, a²>b²+c², which is derived from a²=b²+c²-2bccosA, and hence a>b and a>c can be derived.

Step 3: From the previously derived inequality a²>b²+c², we can conclude that a>b and a>c as a²-b²>c². The value of a² is greater than both b² and c² when a>b and a>c.

Therefore, the largest angle of an obtuse triangle is opposite the longest side.

Step 4: In triangle ABC, A=103°, a=25, and c=30.

a² = b² + c² - 2bccos(A),

a² = b² + 900 - 900 cos(103),

a² = b² + 900 + 900 cos(77),

a² > b² + 900, so a > b.

Similarly, a² > c² + 900, so a > c.

Therefore, triangle ABC satisfies a>b and a>c.

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Answer: 5

Step-by-step explanation: The absolute value of 5 is 5. The absolute value of the difference of two real numbers is the distance between them.

135

135 and 125 are odd numbers however, only 135 is a multiple of 3 and 5.

The number of cases per batch that should be produced to minimize cost is: 300 units

The number of cases per batch that should be produced to minimize cost can be found by using the Economic Order Quantity.

The Economic Order Quantity (EOQ) is a calculation performed by a business that represents the ideal order size that allows the business to meet demand without overspending. The inventory manager calculates her EOQ to minimize storage costs and excess inventory.  

Thus:

Number of cases per batch = √((2 * Setup costs * annual demand)/ holding costs for the year)

Solving gives:

√((2 * 30 * 15000)/10)

= √90000

= 300 units

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Answer:

x=(t+m)/b is the answer

Step-by-step explanation:

Hope it will help :)

Answer:

x =  t(b-m)

Step-by-step explanation:

x/t + m =b

subtract m from each side

x/t +m-m = b-m

x/t =b-m

Multiply each side by t

x/t *t = t(b-m)

x =  t(b-m)

The value οf x is 3

A variety οf issues are resοlved by algebraic calculatiοns that treat variables like explicit integers in a single cοmputatiοn. The quadratic fοrmula, fοr instance, can be used tο sοlve any quadratic equatiοn by exchanging the variables in the quadratic fοrmula fοr the numerical values οf the cοefficients in the equatiοn.

A variable in mathematical lοgic is either a symbοl fοr an undefined term οf the theοry (a meta-variable), οr it is a fundamental οbject οf the theοry that is changed withοut cοnsidering any pοtential intuitive meaning.

Given

8x+17 = 41

Sοlving fοr variable 'x'

Add '-17' tο each side.

17 + -17 + 8x = 41 + -17

Or, 8x=24

Divide each side by '8'

Or, x=3

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Answer:

option A

associative property of addition

Answer:

Associative property

Step-by-step explanation: when they are added or multiplied does not change the sum or product

Answer:

Y-intercept

Step-by-step explanation:

Answer:

The number b is the coordinate on the y-axis where the graph crosses the y-axis or the y-intercept.

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

three is a factor of 12 because you can multiply it by 4 and you get 12 (a factor is a number you can multiply by another to give you a product)

Answer:

\( \sin( \alpha ) = \frac{16}{ \sqrt{281} } \)

Step-by-step explanation:

Greetings!!!

Firstly, remember the sin trigonometric equation

\( \sin( \alpha ) = \frac{opposite}{hypotenuse} \)

Assuming the image as this question and solve

If you have any questions or unclear ideas tag on comments

Hope it helps!!!

The value of the indicated trigonometric ratio sin( α ) is (16√281 )/281.

The figure in the image is a right triangle.

To find sin(α), we use trigonometric ratio.

Sine = Opposite / Hypotenuse

Plug in the values

sin( α ) = 16/√281

To simplify further, we rationalize the denominator

Multiply both the numerator and denominator by √281

sin( α ) = (16 × √281 ) /(√281 × √281 )

sin( α ) = (16 × √281 ) / 281

sin( α ) = (16√281 )/281

Therefore, the value of sin( α ) is (16√281 )/281.

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Step-by-step explanation:

14 -28n

or

-28n +14

hope this helps

Answer:

14-28n

Step-by-step explanation:

Answer:

the answer is 48

Step-by-step explanation:

Answer:

Multiply the first equation by 5 and the second equation by 2. Then add.

Multiply the first equation by 2 and the second equation by 5, then subtract.

Step-by-step explanation:

Given

\(- 2x + 5y = -15\)

\(5x + 2y = -6\)

Required

Steps to solve using elimination method

From the list of given options, option 2 and 3 are correct

This is shown below

Option 2

Multiply the first equation by 5

\(5(- 2x + 5y = -15)\)

\(-10x + 25y = -75\)

Multiply the second equation by 2.

\(2(5x + 2y = -6)\)

\(10x + 4y = -12\)

Add

\((-10x + 25y = -75) + (10x + 4y = -12)\)

\(-10x + 10x + 25y +4y = -75 - 12\)

\(29y = -87\)

Notice that x has been eliminated

Option 3

Multiply the first equation by 2

\(2(- 2x + 5y = -15)\)

\(-4x + 10y = -30\)

Multiply the second equation by 5

\(5(5x + 2y = -6)\)

\(25x + 10y = -30\)

Subtract.

\((-4x + 10y = -30) - (25x + 10y = -30)\)

\(-4x + 25x + 10y - 10y= -30 +30\)

\(21x = 0\)

Notice that y has been eliminated

Answer:

How many solutions does the system have?

✔ exactly one

The solution to the system is

(

⇒ 0,

⇒ -3).

Step-by-step explanation:

the next two parts

Answer:

x + 7 > 5

x > 5 - 7

x > -2

Step-by-step explanation:

Answer:

The correct answer should be 200 kids attend the school.

Step-by-step explanation:

Hope this helps.

Answer:

x²-3x=-10

Step-by-step explanation:

x²-3x+0=10

x²-3x=-10

Option A

Hope it helps.

Do comment if you have any query.

Hey there!

ORIGINAL EQUATION:
0.75(2 + 6 x 4 - 2 × 7 - 2)

WORKING WITHIN the PARENTHESES:
2 + 6 x 4 - 2 × 7 - 2

= 2 + 24 - 2 × 7 - 2

= 26 - 2 × 7 - 2

= 26 - 14 - 2

= 12 - 2

= 10

NEW EQUATION:

0.75(10)

SIMPLIFY IT!
7.50 ≈ 7.5

Therefore, your answer should be: 7.5

~Amphitrite1040:)

After 14 days, you will have approximately $2.4414 invested in the stock market.

The amount you will have invested after 14 days can be calculated using the geometric sequence formula. The formula for the nth term of a geometric sequence is given by:

an = a1 x \(r^{(n-1)\)

Where:

an is the nth term,

a1 is the first term,

r is the common ratio, and

n is the number of terms.

In this case, the initial investment is $20,000, and each day the investment loses half of its value, which means the common ratio (r) is 1/2. We want to find the value after 14 days, so n = 14.

Substituting the given values into the formula, we have:

a14 = 20000 x\((1/2)^{(14-1)\)

a14 = 20000 x \((1/2)^{13\)

a14 = 20000 x (1/8192)

a14 ≈ 2.4414

Therefore, after 14 days, you will have approximately $2.4414 invested in the stock market.

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The amount you will have invested after 14 days is given as follows:

$2.44.

A geometric sequence is a sequence of numbers where each term is obtained by multiplying the previous term by a fixed number called the common ratio q.

The explicit formula of the sequence is given as follows:

\(a_n = a_1q^{n-1}\)

In which \(a_1\) is the first term of the sequence.

The parameters for this problem are given as follows:

\(a_1 = 20000, q = 0.5\)

Hence the amount after 14 days is given as follows:

\(a_{14} = 20000(0.5)^{13}\)

\(a_{14} = 2.44\)

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Answer:

the answer is 2y-16

hope this helps

have a good day :)

Step-by-step explanation:

Answer: See explanation

Step-by-step explanation:

The perimeter of a pentagon is gotten through the summation of its five sides. Let the first side be represented by x. Since each side of a pentagon is 10 cm greater than the previous side, then the sides will be:

First side = x

Second side = x + 10

Third side = x + 10 + 10 = x + 20

Forth side = x + 30

Fifty side = x + 40

Therefore,

x + (x + 10) + (x + 20) + (x + 30) + (x + 40) = 500

5x + 100 = 500

5x = 500 - 100

5x = 400

x = 400/5

x = 80

Therefore, the lengths will be:

First side = x = 80cm

Second side = x + 10 = 80 + 10 = 90cm

Third side = x + 20 = 80 + 20 = 100cm

Forth side = x + 30 = 80 + 30 = 110cm

Fifty side = x + 40 = 80 + 40 = 120cm

Answer:

900

Step-by-step explanation:

The biker travels 15 m/s and if there are 60 seconds, you multiply 15*60. The answer is 900

Answer:

900 meters

Step-by-step explanation:

The biker can go 15 meters in 1 second.

30 in 2 seconds.... etc etc

To find the length of the street we would multiply his speed (15 m/s) by the amount of seconds (60).

15 * 60 = 900

So, the street was 900 meters

Answer:

Step-by-step explanation:

The triangles are all similar, so corresponding sides are proportional.

__

  long side/short side = x/6 = 12/x

  x² = 72 . . . . . . . multiply by 6x

  x = 6√2 . . . . . . take the square root

__

  hypotenuse/long side = y/12 = (12+6)/y

  y² = 216 . . . . . multiply by 12y

  y = 6√6 . . . . . take the square root