Approximate 650.385 to 1 decimal place

Answer:

Step-by-step explanation:

1. x is inversely proportional to y

x=k/y

k is the constant of proportionality

x =60/y

2. x=60/y

x=60/12

x=5

The value of X in the given system of matrix is,

\(X=\left[\begin{array}{ccc}\frac{-97}{145}&\frac{-45}{145} \\\\\frac{20}{29}&\frac{21}{29}\\\end{array}\right]\)

Matrices are one of the most powerful tools in mathematics. The evolution of the concept of matrices is the result of an attempt to obtain compact and simple methods of solving the system of linear equations.

We have 2 by 2 matrix in the form,

\(\left[\begin{array}{ccc}9&9\\-9&-9\\\end{array}\right] X+\left[\begin{array}{ccc}6&3\\7&9\\\end{array}\right] =\left[\begin{array}{ccc}-1&8\\-4&6\\\end{array}\right] X\\\\Assume, X=\left[\begin{array}{ccc}a&b\\c&d\\\end{array}\right] \\\\\)

After multiplication,

\(9a+9c+6=-a+8c\\\\-9a-9c+7=-4a+6c\\\\9b+9d+3=-b+8d\\\\-9b-9d+9=-4b-6d\\\\\)

After solving the given system of equations

\(a=\frac{-97}{145}\\\\b=-\frac{54}{145}\\\\c=\frac{20}{29}\\\\d={21}{29}\\\\Hence, \\X=\left[\begin{array}{ccc}\frac{-97}{145}&\frac{-45}{145} \\\\\frac{20}{29}&\frac{21}{29}\\\end{array}\right]\)

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The correct solution to of 3 x 9/10 is 3 x 9/10.

The correct option is (B).

The horizontal bar known as the fractional bar divides the numerator and denominator of every fraction into these two halves.

Given:

3 x 9/10

1. 2x 9/10

= 18/10

= 1.8

2. 3 x 9/10

= 27/10

= 2.7

3. 3 x 7/10

= 21/10

= 2.1

4. 2 x 7/10

= 14/10

= 1.4

Hence, the correct solution is 3 x 9/10.

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Answer: \(y=(x-6)^2\)

Step-by-step explanation:

If the original equation is \(y=f(x)\), then the equation after the shift is \(y=f(x-6)\).

Answer:

5/0 is not a rational number

Step-by-step explanation:

you cant divide by 0

11 x 7 + 11 x 4 is the expression of the total area as the sum of the areas of

each room.

An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.

Example: 2 + 3x + 4y = 7 is an expression.

We have,

11 (7 + 4)

Using the property of multiplication over addition.

11 x 7 + 11 x 4

Thus,

11 x 7 + 11 x 4.

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Answer:The inequality represented by the equation y = -11/7x - 4 can be written as:

y ≤ -11/7x - 4

This represents a less than or equal to inequality, indicating that the values of y are less than or equal to the expression -11/7x - 4.

Step-by-step explanation: .

Answer: D = 70  

              A = 30

Explanation: d is parallel to 70 degrees, 40 is parallel to e, and the whole set of angles is 180 so 180 - 2(70) + 2(40)  = 30 so D = 70 and A = 30

Answer:

Step-by-step explanation:

So to travel 39 miles, you must use 2.6 Liters of fuel.

x² + 3x - 2

(5)² + 3 × 5- 2

25 + 15 - 2

40 - 2

38...

Answer:

-1

Step-by-step explanation:

Complete the square to find the vertex of this parabola y^2-8x+2y+17=0 {The second answer is -1; so 2,-1 }

The sum of the geometric sequence in this problem is given as follows:

5.77.

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

The first term, the common ratio and the number of terms for this problem are given as follows:

\(a_1 = 10, q = -\frac{2}{3}, k = 8\)

The formula for the sum of the first n terms is given as follows:

\(S_n = a_1\frac{1 - r^n}{1 - r}\)

Hence the sum for this problem is given as follows:

\(S_8 = 10 \times \frac{1 - \left(-\frac{2}{3}\right)^8}{1 + \frac{2}{3}}\)

\(S_8 = 5.77\)

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Answer:

9x

Step-by-step explanation:

if a letter is attached with a number that's called coefficient.

From the given table, we can see a column of different car types, and a row of different colors. We are asked about the probability that a random chosen car would be a beige SUV

Answer:

x=30.5

Step-by-step explanation:

Using midsegment 's theorea:

\(2=\dfrac{RG}{RS} =\dfrac{RH}{RQ} =\dfrac{GH}{SQ} \\\\4x-65=2x-4\\\\2x=61\\\\x=\dfrac{61}{2} \\\\x=30.5\\\)

The exponential function that can model the county population, y, x decades after Tiana was born, is:

\(y = 641000(0.99)^x\)

The population will fall below 600,000 in 6.6 decades after Tiana was born.

The definition of the exponential function is presented as follows:

\(y = a(b)^x\)

In which the parameters of the exponential function are presented as follows:

In the context of this problem, the values of these parameters are given as follows:

Hence the function is:

\(y = 641000(0.99)^x\)

The population will fall below 600,000 when y = 600000, hence:

\(y = 641000(0.99)^x\)

\(600000 = 641000(0.99)^x\)

\((0.99)^x = \frac{600000}{641000}\)

\(\log{(0.99)^x} = \log{\left(\frac{600000}{641000}\right)}\)

\(x\log{0.99} = \log{\left(\frac{600000}{641000}\right)}\)

\(x = \frac{\log{\left(\frac{600000}{641000}\right)}}{\log{0.99}}\)

x = 6.6 decades.

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Answer:

The minimum value of the function is 5.6.

Step-by-step explanation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

\(f(x) = ax^{2} + bx + c\)

It's vertex is the point \((x_{v}, y_{v})\)

In which

\(x_{v} = -\frac{b}{2a}\)

\(y_{v} = -\frac{\Delta}{4a}\)

Where

\(\Delta = b^2-4ac\)

If a<0, the vertex is a maximum point, that is, the maximum value happens at \(x_{v}\), and it's value is \(y_{v}\).

If a > 0, then \(y_{v}\) is the minimum value of the function.

In this question:

We are given the following function:

\(f(x) = 0.1x^2 - x + 8.1\)

Which is a quadratic function with \(a = 0.1, b = -1, c = 8.1\).

To find the minimum value, we have that:

\(\Delta = b^2-4ac = (-1)^2 - 4(0.1)(8.1) = -2.24\)

\(y_{v} = -\frac{-2.24}{4(0.1)} = 5.6\)

The minimum value of the function is 5.6.

Hi, the equation you typed is 10c-5

less than is subtraction and the product of two numbers is multiplying them together.

Answer:

8 and 8

Step-by-step explanation:

8+8 = 16

8*8=64

The price function is written below and the rebate should be given at $33.8

To find the function p(x), we have to take into consideration the demand function and price function.

d(x) = [1350 + 260 * (p(x) - 540] / 26

To find p(x), we can solve using mathematical operators.

1350 + 260 * p(x) - 540 = 26d(x)

p(x) = 26d(x) - 1350 / 260 + 540

p(x) = 26d(x) - 1350 / 800

b.

Let's maximize the revenue;

r(x) = d(x) × p(x)

r(x) = 26 + d(x) - 1350) / 1350 + 260* (p(x) - 540) / 26

The value of r(x) can be simplified as;

[54000 + 169 * p((x)] * (1350 + 10 * (p(x) - 540)]

Differentiating this with respect to p(x);

dR(x)/ dP(x) = 169 * (1350 + 10* (p(x) - 540)) + [(54000 + 169 * p(x)) * 10 / 26 = 0

Solving for p(x) ;

p(x) = 622.80

Putting this value into d(x);

d(x) = 2230

The company will offer rebate of;

2230 - 1350 / 26  

rebate = 33.8

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Answer:

The length of other wall is 3 meters.

Step-by-step explanation:

Given that:

Length of one wall = 4 meters

Length of diagonal from one corner to opposite corner = 5 meters

As the room is rectangular, the diagonal will form a right angled triangle.

The diagonal will be the hypotenuse.

Using pythagorean theorem;

\(a^2+b^2=c^2\)

Here,

a = 4 and c = 5

\((4)^2+b^2=(5)^2\\16+b^2=25\\b^2=25-16\\b^2=9\)

Taking square root on both sides

\(\sqrt{b^2}=\sqrt{9}\)

b = 3 meters

Hence,

The length of other wall is 3 meters.

Answer:

Three

Step-by-step explanation:

Assuming the grade score from 70 to 100 is A; for grade score from 60 to 69 is B and grade score from 50 to 59 is C. Well it is certain there are three peaks in the distribution of scores

Answer:

I think an expression would be 15 x n = ?

Step-by-step explanation:

im sorry if this didn't help but i hope it did! also pls correct me if im wrong thanks!

Answer:

the first one

Step-by-step explanation:

the two lines are on top of each other. The second one is not it because where they meet is at 1 point so there is one solution. The third one can't be it either because the two lines never cross each other so the last one has no solution.

Answer:

2^4   * 9^4

Step-by-step explanation:

(2*9)^4

We can take the power to each term inside the parentheses

2^4   * 9^4

Answer:

5 meters : 1 gallon

fuel efficiency of Car is 7 meters per gallons

Step-by-step explanation:

Given Tanya car goes 45 meters on 7 gallons.

In terms of ratio  of distance traveled and fuel consumed

45 meters : 7 gallons

since both 45 and 7 are multiple of 7 dividing both side by 7

45/7 meters : 7/7 gallons

5 meters : 1 gallon

Thus, fuel efficiency of Car is 7 meters per gallons.

Answer:

Hello,

Answer 303028

Step-by-step explanation:

Multiplication in base 9

\(\begin{array}{cccccc}9^5&9^4&9^3&9^2&9^1&9^0\\--&--&--&--&--&--\\&&&7&2&5\\&&&3&6&7\\--&--&--&--&--&--\\&&5&5&8&8\\&4&7&6&3&\\2&3&7&6&&\\--&--&--&--&--&--\\3&0&3&0&2&8\end{array}\)

Answer:

It's B, |-80+15|= 65

Step-by-step explanation:

Answer:

Step-by-step explanation:

Sum of the angles of any triangle is 180°:

Substitute the given values and solve for x:

Find the missing angles:

[Sum of the angles of any triangle is 180°]

↦m∠A + m∠B + m∠C = 180°

The given values and solve for x :

\(↦48 + 6x - 28 + 2x = 180°\)

\(↦8x + 20 = 180°\)

\(↦8x = 160°\)

\(↦x = 20°\)

Lets , Find the missing angles:

\(↦ m∠B = 6×20 -28 = 120-28 = 92°\)

\(↦ m∠C = 2×20 = 40°\)

Answer :- \(\small\bold\red{x = 20°, m∠B = 92°, m∠C = 40°}\)