Lorne subtracted 6x3 â€"" 2x 3 from â€""3x3 5x2 4x â€"" 7. Use the drop-down menus to identify the steps Lorne used to find the difference. 1. (â€""3x3 5x2 4x â€"" 7) (â€""6x3 2x â€"" 3) 2. (â€""3x3) 5x2 4x (â€""7) (â€""6x3) 2x (â€""3) 3. [(â€""3x3) (â€""6x3)] [4x 2x] [(â€""7) (â€""3)] [5x2] 4. â€""9x3 6x (â€""10) 5x2 5. â€""9x3 5x2 6x â€"" 10.

The surge tank is a vital component of a system in which the flow rate fluctuates significantly. The flow rate entering the tank varies significantly, causing the fluid level in the tank to fluctuate as a result of the compressibility of the liquid. The surge tank is utilized to reduce pressure variations generated by a rapidly fluctspace uating pump flow rate. To determine the matrices A,B,C, and D using state-space notation, here are the steps:State representation is given by:dx/dt = Ax + Bu; y = Cx + DuWhere: x represents the state variablesA represents the state matrixB represents the input matrixC represents the output matrixD represents the direct transmission matrixThe equation can be written asA = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0Thus, the matrices A,B,C and D assuming that the level deviations are the state variables: h'₁ and h'₂. The input variable is q'ᵢ, and the output variable is the flow rate deviation, q'₂ are given by A = [ -1/R₁ 0; 1/R₁ -1/R₂]B = [1/A₁; 0]C = [0 1/R₂]D = 0.Hence, the required matrices are A = [ -1/R₁ 0; 1/R₁ -1/R₂], B = [1/A₁; 0], C = [0 1/R₂], and D = 0 using state-space notation for the given system of equations for two liquid surge tanks.

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Answer:

x = -5

Step-by-step explanation:

4 – 2(x + 7) = 3(x + 5)

Distribute

4 - 2x-14 = 3x+15

Combine like terms

-2x-10 = 3x+15

Add 2x to each side

-2x-10 +2x= 3x+15+2x

-10 = 5x+15

Subtract 15 from each side

-10-15 = 5x+15-15

-25 = 5x

Divide by 5

-25/5 = 5x/5

-5 =x

Answer:

x = -5

Step-by-step explanation:

4 - 2(x + 7) = 3(x + 5)

so, let's do the multiplications. remember, when two terms are multiplied, then everything of the left is multiplied with everything on the right. and a "-" flips signs.

2(x + 7) = 2x + 14

3(x + 5) = 3x + 15

so, in total

4 - 2x - 14 = 3x + 15

now, we add combinable things together, and we can also move things from one side of the equation to the other (by adding our subtracting the same thing on both sides, so that the value of the expression remains unchanged).

-2x - 10 = 3x + 15

-25 = 5x

and now, what applied to adding and subtracting also aims to multiplication and division. again, it is important to do the same thing to both sides.

-5 = x

Answer:

170 2/3

Step-by-step explanation:

2 2/3 x 64 is the same thing as:

\(\frac{8}{3}\) × \(\frac{64}{1}\) = ?

Multiply across.

8 x 64 = 512

3 x 1 = 3

Simplify the fraction.

512/3 = 170 2/3

Answer:

its B E F

Step-by-step explanation:

hope this helps

Answer:

y=2x-1, answer choice D

Step-by-step explanation:

Start by calculating the slope. Slope = rise/run = (y2-y1)/(x2-x1).

You were given 2 points, (3,5) and (5,9).

Plug in those points to find the slope.

slope = (5-9)/(3-5)

slope = -4/-2

slope = 2

The slope intercept form is y=mx+b.

So we know the slope is 2.

That makes the equation y=2x+b. We need to find the intercept. So plug in one of the provided points and solve for b. Let's use (3,5).

y=2x+b

5=2*3+b

5=6+b

-1=b

So the y intercept (b) is -1.

That makes the equation y=2x-1.

You can check that the equation is correct by plugging in those points OR graphing it!

Answer:

-1 all the way to 5

Step-by-step explanation:

k/2 is always greater than -2

Answer:

y = 12

Step-by-step explanation:

I WILL USE THE REASONS CORRESPONDING ANGLES AND ANGLES ON THE STRAIGHT LINE. SINCE THE DIAGRAM LACKS FULL LABELLING THAT MAKES ME UNABLE TO EXPLAIN MORE USING DEMONSTRATION

\(3x - 3 + (4x - 6) = 180 \\ 3x + 4x - 3 - 6 =180 \\ 7x - 9 = 180 \\ 7x = 180 + 9 \\ 7x = 189 \\ \frac{7x}{7} = \frac{189}{7} \\ x = 27\)

ATTACHED IS THE SOLUTION x=27°

Answer:

x = 27

Step-by-step explanation:

3x - 3 and 4x - 6 are same- side exterior angles and sum to 180° , that is

3x - 3 + 4x - 6 = 180

7x - 9 = 180 ( add 9 to both sides )

7x = 189 ( divide both sides by 7 )

x = 27

Answer:

2

Step-by-step explanation:

Answer:

20T+12L\(\geq\)200

T+L\(\leq\)18

Step-by-step explanation:

Answer:

f(x)=8

Step-by-step explanation:

f(x)=(8)1/2+4 add and came up with f(x)=8.

Answer:

Step-by-step explanation:

f(x)=(8)1/2+4 add and came up with f(x)=8.

Answer:

\(x + 2 = - 3x\)

\( - 4x = 2\)

\(x = - \frac{1}{2} \)

\( - 3( - \frac{1}{2} ) = \frac{3}{2} = 1 \frac{1}{2} \)

So the lines intersect at (-1/2, 1 1/2), or

(-.5, 1.5).

Answer:

For the answer to the question above,

the Order the set of numbers from least to greatest: square root 64, 8 and 1 over 7, 8.14 repeating 14, 15 over 2

15 over 2, square root 64, 8 1 over 7, 8.14 repeating 14.

Step-by-step explanation:

Answer:

15 V64 88.14 V64.8 81 2 3. 814 64 o V64 . 3. 814 15 2 V64, 814 8​

Step-by-step explanation:

Answer:

1a. Let’s assume that the length of the north side of the house is represented by ‘x’. Then the polynomial that represents the length of the north side of the house is x.

1b. There is no expression to simplify.

2a. Your cousin is not correct.

2b. The length of the north side of the house is represented by ‘x’ and not by ‘9y+2y’. Therefore, your cousin is not correct.

The polynomial stated by the cousin as the length of the north side of the house, 9y + 2y, simplifies to 11y. Thus, the cousin is not correct. Polynomials and simplifying expressions are part of basic algebra skills.

Based on your cousin's statement, the polynomial representing the length of the north side of the house is 9y + 2y. To determine the correctness of this polynomial, we must first simplify the expression. By combining like terms (terms with the same variable and exponent), the expression simplifies to 11y. So, the length of the north side is represented by 11y, not 9y + 2y. Hence, your cousin's statement is not correct.

Understanding how to combine like terms, simplify expressions, and handle polynomials is an important part of basic algebra skills. Polynomials can be used to represent many real world quantities such as the length of a side of a house as in this problem. Remember that it is crucial to perform all calculations accurately to avoid errors.

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Identical at both ends, a prism is a three-dimensional solid object 145.0625 in2.

the outer face, outside, or exterior limit of a thing; topmost or uppermost layer or area. the six surfaces of a cube; any face of a body or entity.

Surface area; the size or area of the outside of the face. the outside, especially in contrast to the inside nature: to investigate something more deeply. surface, a group of points arranged in two dimensions (flat surface), a group of points arranged in three dimensions (curved surface), or the perimeter of any three-dimensional object.

In general, a surface is a continuous barrier that separates two areas of a three-dimensional space.

There are small cracks all over the surface of the picture. There are tiny cracks all over the surface of the picture. The surface of the bowl is gleaming.

145.0625 in2

180.625 in2

264.625 in2

290.125 in2

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Answer:

(4) (x + 6)(x - 1)

Step-by-step explanation:

Given expression

\(x { }^{2} + 5x - 6\)

Find numbers when they are multiplied gives 6 and when they are added which gives 5.

Thus, these numbers are -1 & 6.

\(x {}^{2} + 6x - x - 6 \\ x(x + 6) - 1(x + 6) \\ (x + 6) \: \: (x -1 )\)

Can also check the multiplied values of these two values.

Hope it helps!

Answer:

(4)

Step-by-step explanation:

Determine two multiples which when multiplied gives - 6(the last term in the equation), when added, gives +5 (the middle term in the equation).

Multiples are: +6 and -1

input the two multiples in place of the middle term (+5x)

=x^2+6x-1x-6

Collect like terms

=x(x+6)-1((x+6)

Answer= (x+6)(x-1)

Confirm answer above:

Open bracket

x(x-1)+6(x-1)

x^2-x+6x-6

x^2+5x-6 (initial equation).

Answer:

The first one

Step-by-step explanation:

Distribute the -3

6x-12+5≥7x+8

the probability of an archer hitting her target is 83%.The mean of x is 16.6 (16.6 targets hit).

The probability of the archer hitting her target is 83%. This means that for each shot she takes, the probability of her hitting her target is 0.83. Since she has 20 shots to take, the expected number of targets hit is 20 x 0.83, which is 16.6.

The mean of x, which is the number of targets hit, is therefore 16.6. This can be calculated by taking the probability of success (0.83) multiplied by the number of trials (20), which gives the expected value of 16.6.

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The location of the waterfall on the graph will be (3,1). Instead of going down down,  Rodrigo goes 4 units upward direction.

What are the coordinates of a point?

Coordinates are a pair of integers (Cartesian coordinates), or sporadically a letter and a number, that identify a certain place on a grid, also referred to as a coordinate plane. The x-axis (horizontal) and y-axis are the two axes that make up a coordinate plane (vertical).

Given that the location of the entrance is at (6,5).

To reach the waterfall, you need to go 3 km to the left and 4 km down from the park entrance.

The x-coordinate decreases to the left side of a point and increases to the right side of a point.

The y-coordinate decreases to a downward point and increases upward a point.

The x-coordinate of the waterfall is 6 - 3 =3

The y-coordinate of the waterfall is 5 - 4 = 1.

The coordinate that represents the location of a point is (3,1).

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Answer:

-12

Step-by-step explanation:

h/6 -1 = -3

h - 6 = - 18

h = -18 + 6

h = -12

Answer:

h= -12

Step-by-step explanation:

-12/6= -2

-2- 1 = -3

-3= -3

Answer:

r = \(2\sqrt{5}\)

\((x - 3)^{2} + ( y - 2)^{2} = 20\)

Is this a live test question or a homework question?

Step-by-step explanation:

the radius is the distance between (3, 2) and (5, -2)

\(r^{2}\) = \({(3 - 5)^{2} + (2 + 2)^{2} }\)

    =  \((-2)^{2} + 4^{2}\)

    =  4 + 16 = 20

r = \(\sqrt{20 } = 2\sqrt{5}\)

Equation of circle:   \((x - 3)^{2} + ( y - 2)^{2} = 20\)

Answer:

Radius: \(2\sqrt{5}\)

Equation of circle: \((x-3)^2+(y-2)^2=20\)

Step-by-step explanation:

The radius of a circle is equal to the distance between the center of the circle and any point on the circle. Therefore, we have:

\(r=\sqrt{(5-3)^2+(2-(-2))^2},\\r=\sqrt{2^2+4^2},\\r=\sqrt{20}=\boxed{2\sqrt{5}}\)

The equation of a circle with radius \(r\) and center \((h, k)\) is given by:

\((x-h)^2+(y-k)^2=r^2\).

What we know:

Substituting known values, we get:

\((x-3)^2+(y-3)^2=(2\sqrt{5})^2,\\\boxed{(x-3)^2+(y-2)^2=20}\)

There are 3 cases to consider when determining horizontal asymptotes:

1) Case 1: if: degree of numerator < degree of denominator. then: horizontal asymptote: y = 0 (x-axis)

2) Case 2: if: degree of numerator = degree of denominator.

3) Case 3: if: degree of numerator > degree of denominator.

Answer:

Step-by-step explanation:

If h is the height of the ball off the ground, if we want to find the time, t, when the ball hits the ground again, we set h equal to 0, because the height of something when it is on the ground is 0.

\(0=-t^2+4t\) and solve for the values of t. Begin by factoring out a -t:

\(0=-t(t-4)\)

By the Zero Product Property, either -t = 0 or t - 4 = 0. We already know that at time 0 the ball hit the ground for the first time because that was given in the problem. That means that the ball hit the ground for the second time 4 seconds later.

Answer:

B. m ∠Z = 32°

Given:

Δ ABC ≅ Δ XYZ

m ∠ C = 32°

When 2 triangles are congruent we can say that all side of 1 triangle are equal to corresponding sides of other triangle.

Side AB= Side XY And Side BC = Side YZ and side AC = side XZ

Also,

When 2 triangles are congruent we can say measure of all angles of 1 triangle are equal to measures corresponding angles of other triangle.

m ∠A = m ∠X and m ∠B = m∠Y and m ∠C = m ∠Z

m ∠ C = 32° hence m ∠ Z = 32

If x is an int and y is a float then only option that is not legal is D) x = (int) y.

Option A is legal because an int can be assigned to a float without any issues. The float will simply contain the same value as the int, but with a decimal point (e.g. 5 will become 5.0). Option B is not recommended because it involves converting a float to an int. The decimal point will be dropped, so information will be lost. However, it is still legal to do so. Option C is legal because it explicitly converts the int to a float, which can then be assigned to y. Option D is not legal because it involves converting a float to an int. This can lead to unexpected behavior, such as truncating the decimal point or rounding the value. It is generally safer to avoid such conversions. Option E is not correct because option D is not legal, as explained above.

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If 1 book cost $7, 3 books will cost: 3*$7 = $21. (Multiplying)

The answer is $21.

Answer:

option2 12x²/y⁹

Step-by-step explanation:

attached the solution below, hope that helps...

Answer:

63rd

Step-by-step explanation:

Answer:

m=-1

Step-by-step explanation:

Answer:

10/12 also 5/6

Step-by-step explanation:

Answer:

10/12 or the simplified version 5/6

Step-by-step explanation:

you have to multiply 2/3 by the reciprocal of 4/5 which is 5/4

so you write down 2/3 times 5/4 (just multiply across so it's 2x5 over 3x4)

2x5=10 and 3x4=12

10 is the numerator and 12 is the denominator

simplify if the problem calls for it by dividing the top and bottom numbers by 2