in order to solve the following sye of equations by subtraction, which of the following could you do before subtracting the equations so that one variable will be eliminated when you subtract them? 4x-2y=7. 3x-3y=15

given:

There are given that the Borrowed is $30000.

Explanation:

To find the monthly amount, we need to use the formula:

Where,

Ans,

Then,

From the formula:

Final answer:

Hence, the monthly payment is $725 and the interest will be: $4800

To find the distance between Basti and Cian, we can use the law of sines in triangle ABC. The law of sines states that the ratio of the length of a side to the sine of the opposite angle is constant for all sides and their corresponding angles in a triangle.

Let's label the distance between Basti and Cian as "x". We know that the measure of angle ABC is 50 degrees and the measure of angle BAC is 60 degrees. We also know that Ali is exactly 150 ft away from Basti.

Using the law of sines, we can set up the following equation:

sin(50°) / 150 = sin(60°) / x

To solve for "x", we can rearrange the equation:

x = (150 * sin(60°)) / sin(50°)

Using a calculator, we can evaluate the expression:

x ≈ (150 * 0.866) / 0.766

x ≈ 168.4 ft

Therefore, the distance between Basti and Cian is approximately 168.4 ft.

Answer:

mode-6

median-5.5

range-7

Tn = a + d * (n-1)

T8 = -12 + 2*7

= -12 +14

= 2

Answer:

In this problem, first we need to draw a circle of radius 3 cm having a center at point O. Now, take a point P at a distance of 5.5 cm from the center of the circle. Draw a line joining the point O and P. Now draw a perpendicular bisector of the line OP that cuts OP at M.

Answer:

D. \(y\)-intercept

Step-by-step explanation:

Writing an equation of a line in Slope-Intercept Form is \(y = mx +b\). \(m\) is the slope and \(b\) is the \(y\)-intercept. In the given equation, \(y = 3x +2\), we can see that \(b = 2\).

Answer:

The answer is d i.e. y-intercept.

Answer:

Step-by-step explanation:

As a first step to finding the maximum value of the objective function, graph the constraints:

Given the constraints.

a) To re-express the given differential equation as a first-order differential equation using matrix and vector notation, we can rewrite it in the form:

\(x' = Ax\)

where x is a vector and A is a square matrix.

b) To determine the stability of the system obtained in part (a), we need to analyze the eigenvalues of matrix A.

If all eigenvalues have negative real parts, the system is stable.

If at least one eigenvalue has a zero real part, the system is neutrally stable.

If at least one eigenvalue has a positive real part, the system is unstable.

c) To compute the eigenvalues and eigenvectors of matrix A, we solve the characteristic equation

\(det(A - \lambda I) = 0\),

where λ is the eigenvalue and I is the identity matrix.

By solving this equation, we obtain the eigenvalues.

Substituting each eigenvalue into the equation

\((A - \lambda I)v = 0\),

where v is the eigenvector, we can solve for the eigenvectors.

d) Once we have computed the eigenvalues and eigenvectors of matrix A, we can construct the diagonalization relationship as follows:

\(A = PDP^{(-1)}\)

where P is a matrix whose columns are the eigenvectors of A, and D is a diagonal matrix whose diagonal elements are the eigenvalues of A.

To show that this relationship is valid, we can compute \(PDP^{(-1)}\) and verify that it equals A.

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Answer:

Celsius and Fahrenheit are two important temperature scales that are commonly misspelled as Celcius and Farenheit. The formula to find a Celsius temperature from Fahrenheit is: °F = (°C × 9/5) + 32 The formula to find a Fahrenheit temperature from Celsius is: °F = (°C × 9/5) + 32 The two temperature scales are equal at -40°.

Step-by-step explanation:

PA BRAINLIEST

Volume of the cylinder is 1017.9 cubic meters.

The formula for the volume of a cylinder is given by V = πr²h, where V is the volume, r is the radius of the base, and h is the height of the cylinder. To use this formula, we need to first find the radius of the base, which is half of the diameter.

The diameter of the base is given as 12m, so the radius is 6m. The height is given as 9m. Using the formula, we can calculate the volume of the cylinder as:

V = π × 6² × 9

V = 1017.87 cubic meters (rounded to the nearest tenth)

Therefore, the volume of the cylinder is approximately 1017.9 cubic meters.

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A function is a rule that for each input has at most one output.

Describe a function. A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output.

Each function has a range, codomain, and domain. The usual way to refer to a function is as f(x), where x is the input. A function is typically represented as y = f. (x).

In mathematics, a function is a unique arrangement of the inputs (the domain) and their outputs (the codomain), where each input has exactly one output and the output can be traced back to the original input.

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Answer:

5400000

Step-by-step explanation:

To make it easier.

12 x 45, then add your four zeros on your answer!

Hope this helps!

Yours Truely, TheAnimeCatUwU

if we notice the tickmarks on the triangle, we can see the all sides are equal, namely is an equilateral triangle, and if all sides are equal, then all interior angles are equal as well.

Let's recall that the sum of all interior angles in a triangle is 180°, now if we divide that by 3, that gives us 60, namely each angle in the equilateral triangle is 60°, that means

\(10x=60\implies x=\cfrac{60}{10}\implies \boxed{x=6} ~\hfill 12y=60\implies y=\cfrac{60}{12}\implies \boxed{y=5}\)

Answer:

100

Step-by-step explanation:

700/7%

Answer:

No photo?

Step-by-step explanation:

Answer:

If you could put a picture that would really be Great!:)

Answer:

224

Step-by-step explanation:

360.-136.

Answer:

three hundred and forty five and sixty five thousandths

Step-by-step explanation:

the 5 is in the thousandths place so the whole decimal number ends with thousandths

three hundred and forty five and sixty five thousandths is the word for, for 345.065.

Since the period is on the 5 thousand’s place, you cancel all other number lower then 5 thousand like 60 and 5.

Answer:

  (b)  y=(x+1)²−9

Step-by-step explanation:

You want the vertex form equation of the graphed parabola, which opens upward and has its vertex at (-1, -9).

The vertex form equation for a parabola with vertex (h, k) is ...

  y = (x -h)² +k

The vertex of the parabola shown is (h, k) = (-1, -9). Using these values in the equation gives ...

  y = (x +1)² -9

__

Additional comment

The equation may include a scale factor that multiplies the square. Here, the curve rises 1 unit for 1 unit either side of the vertex, so the scale factor is 1. (The rise at ±1 from the vertex is the scale factor.)

Steps: (1) read the vertex coordinates from the graph; (2) put those coordinates in the vertex form equation; (3) check to see that the vertical scale factor is 1.

Answer:

27 x 10 = 270

270 ÷ 36 = 7.5

7 and a half

Answer:

600 meters

Step-by-step explanation:

Case 1 : Speed of 1 m/s

Case 2 : Speed of 1.5 m/s

As distance in both cases is the same, equate the values of d from both equations.

Now, put the value of t in Equation 1 to find d.

Step-by-step explanation:

The ONE  solution to this system of two lines is the point where the two lines cross   at   (1,4)

Answer:

equal distances

Step-by-step explanation:

simplified, both live half a mile (1/2) from the library

The area of the square is given as 100 square unit

You should be aware that the square has all its sides equal

The perpendicular from opposite vertices represent distance

The given vertices are

(2,2) and (10,8)

Using the formula for distance between two points

d=√(10-2)²+(8-2)²

d=√8²+6²

d = √64+36

d=√100

This implies that d=10

The area of a square is given as s²

Area = 10²

Atrea = 100 square units

In conclusion, the area of the square is 100 square units

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Translated question:

The vertices of a square ABCD are A(2,2) and B(10,8), Find the area of the square

Answer:

45:55

75:85

Step-by-step explanation:

a:b

a = zoo

b = carnival

total amount:

15 x 3 = 45

15 x 3 = 45 + 10 = 55

45:55

5 people:

15 x 5 = 75

15 x 3 = 75 + 10 = 85

75:85

Answer:

  955.0 ft³

Step-by-step explanation:

You want to know the volume of water remaining in full cylinder A with diameter 18 ft and height 9 ft if it is pumped into empty cylinder B with diameter 10 ft and height 17 ft until B is full.

The volume of a cylinder is given by the formula ...

  V = (π/4)d²h

For cylinder A, the volume is ...

  V = (π/4)(18 ft)²(9 ft) = 729π ft³ ≈ 2290.2 ft³

For cylinder B, the volume is ...

  V = (π/4)(10 ft)²(17 ft) = 425π ft³ ≈ 1335.2 ft³

The amount of water remaining in A will be the difference between its volume and the volume of B:

  2290.2 ft³ -1335.2 ft³ = 955.0 ft³

There will be 955.0 ft³ of water remaining in container A.

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Answer:

2. 0.00003

Step-by-step explanation:

there are 1.0 × 10-5 cm in a km, multiply that by 3 and you get answer 2.

a) you would need $450,332.81 in your account at the beginning. b)  the total money that will be pulled out of the account is $600,000.

a) To calculate the amount needed in the account at the beginning, we can use the present value formula:

PV = PMT * ((1 - (1 + r)^-n) / r)

Where PV is the present value, PMT is the annual payment, r is the annual interest rate, and n is the number of periods.

Plugging in the values, we get:

PV = 40000 * ((1 - (1 + 0.05)^-15) / 0.05)

PV = $450,332.81

Therefore, you would need $450,332.81 in your account at the beginning.

b) To calculate the total money that will be pulled out of the account, we can simply multiply the annual payment by the number of years:

Total money = PMT * n

Total money = 40000 * 15

Total money = $600,000

Therefore, the total money that will be pulled out of the account is $600,000.

c) To calculate the amount of money that is interest, we can subtract the initial investment from the total money pulled out:

Interest = Total money - Initial investment

Interest = $600,000 - $450,332.81

Interest = $149,667.19

Therefore, $149,667.19 of the money pulled out is interest.

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