Which expression is equivalent to (m2p–2r7)(m–5p4r2)?

Answer:

9

Step-by-step explanation:

12 / 4 = 3

3 x 3 = 9

Answer:

C. a +2 = a - 2

Step-by-step explanation:

a + 2 = a - 2

a + 4 = a

4 = 0

Answer:the answer is D

Step-by-step explanation:

it is

Answer:

The correct answer is B

Answer:

1.81 inches

Step-by-step explanation:

We are told that the sheet of metal to be used measures 12 inches by 10 inches.

Squares of equal sides x are cut out of each corner. Thus, it means total of 2x is cut of the 12 inches side and 10 inches side.

Thus;

Length; L = 12 - 2x

Width; W = 10 - 2x

Height; H = x

Volume of the box is;

V = LWH

V = (12 - 2x)(10 - 2x)x

Factorizing out, we have;

V = 4x[(6 - x)(5 - x)]

Equating V to zero, we can find the domain of the function;

At V = 0,

4x = 0; 6 - x = 0 ; 5 - x = 0

x = 0, x = 6, x = 5

The dimensions have to be positive. Thus;

0 ≤ x ≤ 5

Expanding the volume equation;

V = 4x[30 - 5x - 6x + x²]

V = 4x[30 - 11x + x²]

V = 4x³ - 44x² + 120x

dV/dx = 12x² - 88x + 120

Equating to zero to find the value of x that makes volume maximum;

12x² - 88x + 120 = 0

Using quadratic formula gives;

x = 1.81 or 5.52

From our domain, we have 0 ≤ x ≤ 5.

1.81 falls within the domain and therefore we will pick it as the height that makes the volume maximum.

Answer:1.81

Step-by-step explanation:

x=1.81

Answer:

The rate of change of function is: 2

Step-by-step explanation:

Using the given table we have to exclude two pairs of input and output.

The rate of change or slope of function is given as:

[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]

We take first two pairs of input/output from the table

(x1,y1) = (1,11)

(x2,y2) = (2,13)

Putting the values

[tex]m = \frac{13-11}{2-1}\\m =\frac{2}{1}\\m = 2[/tex]

Hence,

The rate of change of function is: 2

Answer:

6y?

It's probably wrong but off the top of my head, 6y

Answer:

y = -2x + 5

Step-by-step explanation:

Given:

Passes through point (1, 3)

Perpendicular to x – 2y = -8

Solve:

x – 2y = -8

y = 1/2x + 4

The slope is m = 1/2

The slope of the perpendicular line is the inverse of the slope of the original equation.

The slope of the inverse equation is m = -2.

Making an inverse equation of y = -2x + a

Find a:

Use point, (1, 3) where (x, y):

3 = (-2)*(1) + a

a = 5

y = -2x + 5

Answer:

y=½x+5

Step-by-step explanation:

Passes through, (1,3)

Perpendicular to x-2y=-8.

Step 1

write the equation in form of y=mx+c

x-2y=8

-2y=-x+8

Dividing both sides of the equation by -2 we get;

y=-x/2+8

y=-½x+8

Thus the gradient is -½. Call it M1

Recall, The product of the gradients(slopes) of perpendicular lines is -1 i.e

M1 × M2= -1

Solve for M2

-½×M2=-1.

Dividing both sides by -½ we get

M2=-1×-2

Now, use this slope(M2) with the points (1,3) to find the new equation that is perpendicular to x-2y=-8

Note: Given two points (x1,y1) and (x2,y2) the the slope would be ∆x/∆y i.e (x1-x2)/(y1-y2).

Therefore, identify new point (x,y). Use this new point with point (1,3) and the slope M2 to get the new equation.

Slope=∆x/∆y

M2=(x-1)/(y-3)

but M2 is 2

2=(x-1)/(y-3)

2/1=(x-1)/(y-3) Note: 2= 2/1

Cross multiplying we get:

2(y-3)=1(x-1)

Open the brackets

2y-6=x-1

Solve for y so as to write the equation in form of y=mx+c

2y=x-1 +6

2y=x+5

Divide both sides of the equation by 2

y=x/2+5

Answer:

Step-by-step explanation:

2x² + 6x - 5 = 0

D = 36 + 40 = 76 = (2√19)²

[tex]x_{1}[/tex] = ( - 6 - 2√19) / 4 = ( - 3 - √19) / 2

[tex]x_{2}[/tex] = ( - 3 + √19) / 2

Step-by-step explanation:

x=9

therefore,

each sides length is 9

5x-7=3x+11

=5x-3x=7+11

=2x=18

=x=9

Answer: 0.707

Step-by-step explanation:

Answer: 0.707 is the correct answer!!

Step-by-step explanation:

Answer:

c = 11

Step-by-step explanation:

2c+8+6c-6 = 90 ( the angle measure of the two angles)

8c+2 = 90

8c = 88

c = 11

Answer:

C or the graph with continuous acceleration (straight line)

Step-by-step explanation:

It's the right answer on edguinity

Answer:

c

Step-by-step explanation:

Answer:

1. 50%

2. 400

Answer:

slope: 5/7

0.714 mile per hour

Step-by-step explanation:

slope: find the point where the line is right on the line graph, put y/x which is 10/14 make the fraction smaller which is 10/14 = 5/7(I divide the denominator and nominator by 2)

Mile per hour: 5/7 cross multiply with x/1, make into an equation:

7x=5 x 1

7x = 5

x = 0.714

Answer: 4. Transporting quests to and from the airport and sightseeing trips.

Step-by-step explanation:

Substantial services in regards to this question, are those described as being done outside the normal scope of business for the convenience of the customers or guests in this scenario.

Transporting guests to and from the airport and taking them on sightseeing trips is outside the scope of the rental business and so they are considered to be substantial services.

Answer:

The area of given figure is: 179.3

Step-by-step explanation:

The figure consists of a rectangle and a semi-circle

The length of rectangle is 14 and width is 10.

The width of rectangle is also the diameter of the semi-circle.

So,

d = 10

[tex]r = \frac{d}{2} = \frac{10}{2} = 5[/tex]

Area of Semi-Circle:

[tex]C =\frac{ \pi r^2}{2}\\= \frac{3.14 * (5)^2}{2}\\=\frac{3.14*25}{2}\\=\frac{78.5}{2}\\= 39.25[/tex]

Area of Rectangle:

[tex]R = Length * Width\\R = 10*14\\R = 140[/tex]

The total area will be the sum of area of rectangle and the area of semi-circle

So,

[tex]Total\ Area = C + R\\= 39.25 + 140\\=179.25[/tex]

Rounding off to nearest tenth

The total area is: 179.3

Answer:

x = 0.1379

Step-by-step explanation:

23x + 1 = 52x - 3

-23x       -23x

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

1 = 29x - 3

+3          +3

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

4 = 29x

÷29     ÷29

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

x = 0.1379

Answer:

0.7142857

Step-by-step explanation:

Let wholesale price = x

Retail price = 40% Markup of wholesale price

Retail price = (100 + 40)% of x

Retail price = 140% of x

Retail price = 140/100 * x

Retail price = 1.4x

Hence,

Wholesale price / retail price

x / 1.4x

= 0.7142857

Hence, wholesale price is 0.7142857 of the retailer price

Answer:

b on edg

Step-by-step explanation:

second part

a=4

b=5

Answer:

I'm thinking b not 100 percent sure

Answer:

The answer is B) 122 degrees

The answer is 5841 minutes.

Answer:

$324,870.00

Step-by-step explanation:

357,000.00 x .09 = $32,130.00

357,000.00  - $$32,130.00 = $324,870.00

Answer:

ummm did you need help or....

Step-by-step explanation:

cause you got the answer right....

The exterior angle of a triangle is equal to the sum of the two interior opposite angles, so : f° = a° + b° .

A triangle is a polygon which has 3 sides. The triangles can be divided into 3 types based on the value of the angles: Equilateral, isosceles ,scalene and right angled.

One of the internal angles of a right triangle (also known as a right-angled triangle) measures 90 degrees (a right angle). The hypotenuse, the triangle's longest side, is the side that faces the right angle. The triangle's other two sides are referred to as its legs. Right triangles adhere to the Pythagorean theorem, which states that the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the two legs.

We know when we add all the angles of any given triangle it is 180°

∴ a° + b° + c° = 180°

or, a° + b° = 180° - c°

Now we know that a linear pair the sum of the angles is 180°.

∴c° + f° = 180°

or, f° = 180° - c°

So from the above two equations we can say that

f° = a° + b°

Therefore in the triangle the exterior angle of the triangle is equal to the sum of the two interior opposite angles.

To learn more about triangle visit:

https://brainly.com/question/27682397

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