The width of a rectangle measures (4.4d-4.3)(4.4d−4.3) centimeters, and its length measures (7.6d+4.7)(7.6d+4.7) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?

Answer:

V=[tex]\pi[/tex]5^2*6

Step-by-step explanation:

If this makes it a little easier to read:

V = [tex]\pi[/tex] * 5^2 * 6

This is the answer when you solve it btw:

471.24

Also, who buys a swimming pool in the shape of a cylinder?

The volume of the cylinder is 471 square feet.

Given,

Nela is filling her circular backyard swimming pool.

The radius of the pool is 5 feet and the height is 6 feet.

We need to find the volume of the cylinder.

It is given by:

V =  [tex]\pi[/tex] r² h.

Find the volume of the cylinder

V =  [tex]\pi[/tex] r² h

We have,

h = 6 feet and r = 5 feet

V = 3.14 x 5² x 6

V = 3.14 x 25 x 6

V = 471 square feet.

Thus the volume of the cylinder is 471 square feet.

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Answer:

The width of the prism is 2 cm

Step-by-step explanation:

The given parameters are;

The volume of the prism = 170 cm³

The length of the prism = 5 cm

The height of the prism = 17 cm

The volume of the prism is given by the  relationship v = Length, l × Height, h × Width, w

Therefore;

The volume of the prism = 5 cm × 17 cm × w = 170 cm³

Which gives;

w = 170 cm³/(5 cm × 17 cm) = 170 cm³/(85 cm) = 2 cm

∴ The width of the prism = 2 cm.

The width of the prism is 2cm given length of the prism is 5 centimeters, and the height of the prism is 17 centimeter.

The formula for calculating the volume of a rectangular prism is expressed as:

V = LWH where:

Given the following:

V = 170cm³

L = 5cm

H = 17cm

Required

Width

Substitute the given values into the formula:

170 = 5 * 17 * W

170 = 85W

W = 170/85

W = 2cm

Hence the width of the prism is 2cm

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Answer:

shift to the right 1 unit, shift down 2 units

Step-by-step explanation:

because x+1 which mean shift to the right 1 unit as +1 is positive

down 2 because y is -2 as well as shift down 2 units

The value of x is 19. Therefore, option C is the correct answer.

From the given figure, the two angles are (7x-8)° and (6x+11)°.

Vertical angles are a pair of non-adjacent angles formed by the intersection of two straight lines. In simple words, vertical angles are located across from one another in the corners of the "X" formed by two straight lines. They are also called vertically opposite angles as they are situated opposite to each other.

Now, (7x-8)° = (6x+11)° (Vertically opposite angles are equal)

⇒ 7x-6x = 11+8

⇒ x = 19°

The value of x is 19. Therefore, option C is the correct answer.

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Answer:C

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let x be the smaller number. What is the larger number if we know that sum of the two numbers is  

ur answer ?  ur answer

Answer:

the answer is correct, "D"

Step-by-step explanation:

(wider than and opens in the opposite direction of) just took the test, made a 90%

y = -0.2*x^2 is a vertical dilation of scale factor 0.2 followed by a reflection over the x-axis of y = x^2

We have two functions:

f(x) = x^2

g(x) = -0.2*x^2

The transformations used are:

Reflection over the x-axis.

For a function f(x), a reflection over the x-axis is written as:

g(x) = -f(x).

Vertical dilation.

For a function f(x), a vertical dilation of scale factor k is written as:

g(x) = k*f(x).

So here we can see that we have a vertical dilation of scale factor 0.2, followed by a reflection over the x-axis.

g(x) = -0.2*f(x).

So, g(x) opens in the opposite direction than f(x), and grows slower (because of the dilation).

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Answer:I’m going to say it’s A I apologize if it’s wrong

Step-by-step explanation:

Magnets are magnetic fields that compares together when attracted close to one another so that’s Why I’m choosing A because it’s close to what I think

Answer: x = 2 or x = -1

Step-by-step explanation: When you are solving an absolute value equation, you can split the problem up into two separate equations.

The first equation will look just like the original problem,

except for the absolute value signs (2x - 1 = 3).

The second equation will look just like the first,

but the right side will be changed to a negative (2x - 1 = -3).

Now solve each equation from here to get x = 2 or x = -1

Answer:

The correct answer is b.

Step-by-step explanation:

Giving the following information:

Annual salary= $265,000

Social security is 8% of his income.

To calculate the annual expending on social security, all we have to do is multiply the annual salary for the expend percentage.

Annual expense= 265,000*0.08

Annual expense= $21,200

Answer:5,800

Step-by-step explanation:

The average depreciation of the equipment per year is $9200.

The monetary value of an asset decreases over time due to use, wear and tear or obsolescence, this is called as depreciation.

Now it is given that,

Cost of the equipment = $85,600

current value of the equipment is given as $30,400

Duration for which the equipment was used = 6 years

Now the depreciation of the equipment is given as,

Total depreciation in the price of the equipment

                       = Cost of the equipment - current price of the equipment

So, total depreciation = $85,600 - $30,400 = $55,200

Now,

Average yearly depreciation = Total depreciation ÷ Years used

Average depreciation = 55,200/6

⇒Average depreciation = $9200

Therefore, average depreciation of the equipment per year is $9200.

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Answer:

8(6+8x)= 48+ 64x

hope this helps uh

Answer:

the answer is -4

Step-by-step explanation:

-3x+12=24

     -12 -12

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

     -3x=12

     12 divided by-3= -4

x= -4

Answer:

x=-4

Step-by-step explanation:

move the constant

-3x=24-12

-3x=12

divide both side by -3

ANSWER=-4

Answer:

See below

Step-by-step explanation:

Evaluate the expressions if x = 10, y = 5, and z = 1.

Answer:

see below

Step-by-step explanation:

⇒  -7y - (-12y) = -7y + 12y =  5y

⇒  15xy - (-6xy) = 15xy + 6xy = 21xy

⇒  -53va - 32va =    - 85av

⇒  64 / 0.8 -5.6 / 7

   = 448 - 7.48

          5*6

    = 79.2

⇒    -(x -3) + 6

   = -x + 3 + 6

   = -x + 9

⇒  6 + 3 (9)

   = 6 + 27

   = 33

Evaluate the expressions if x = 10, y = 5, and z = 1.

⇒  x/y = 10 / 5 = 2

⇒  xy + z = 10*5 + 1 = 51

⇒  5 (z - x) = 5(1 - 10) = 5 - 50 = 45

Answer:

look this for the solution

Answer:

Step-by-step explanation:

60 miles

Answer:

answer is yes,yes, no

Step-by-step explanation:

The area of the rectangular carpet is equivalent to 397.7 ft².

        Area = Length x Breadth

        [A] = [L] x [B]

Given is that the length of the carpet is 24.25 feet and the width is 16.4 feet.

The area of the rectangle is equivalent to -

A = L x B

A = 24.25 x 16.4

A = 397.7 ft²

Therefore, the area of the rectangular carpet is equivalent to 397.7 ft².

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Answer: girls=20, sister=10

Step-by-step explanation:

Let x = the girl's sister's age (present)

Let 2x= the girl's age (present)

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

According to the question

(x+5)(2x+5)=375

Expand parentheses by FOIL (First Outer Inner Last)

2x²+5x+10x+25=375

Combine like term (5x and 10x)

2x²+15x+25=375

Subtract 375 on both sides

2x²+15x+25-375=375-375

2x²+15x-350=0

Find the factors (cross factor)

(x-10)(x+17.5)=0

x=10 or x=-17.5 (rej) ⇔ the age can't be negative

the girl's age is 20, and her sister's age is 10.

Answer:

3:5

Step-by-step explanation:

Answer:

its 3:5

Step-by-step explanation:

Answer:

-2>-5

4/7<3/5

-1.3>-1.333333

Step-by-step explanation:

Answer:

64.

Step-by-step explanation:

(-1/2)∧-6

= 1 / (-1/2)^6

= 1 / 1/64

= 64.

Answer:

We factor the number 16 into prime numbers to get their factors.

We do the same with any given number. Only if it has the same factor as 16 that numberwill be divisible by 16

Both numbers proposed (144&256) are divisible by 16

Step-by-step explanation:

To prove it we need to factor the number 16 to get their expression in prime numbers:

16     2

 8    2

 4    2

 2    2

 1

16 is equal to [tex]2^{4}[/tex]

We have to factor a number and if their factor include [tex]2^{4}[/tex] or a higher power

then, they are divisible by 16

144        2

 72       2

 36       2

 18        2

   9       3

   3       3

   1

144 is queal to:  [tex]2^4 . 3^2[/tex] as it does have [tex]2^4[/tex] It is divisible by 16

256         2

128          2

  64        2

  32        2

   16        2

    8        2

    4        2

    2        2

    1

256 is equal to [tex]2^8[/tex] This contains [tex]2^4[/tex] as [tex]2^8 = 2^4 . 2^4[/tex]

therefore it is divisible by 16

Answer:

Tina ate 3/4 of the whole pan of cornbread.

Step-by-step explanation:

Let the amount of cornbread in the initial pan be x.

After the dinner party, Tina has 1/2 of x left; That is 1/2x

If she eats 1/2 of the leftover, that will be 1/2 of 1/2x that is eaten. This will be 1/4x that is eaten.

To find the potion of the whole pan that Tina ate, we will add the potion she ate during the party to the portion of the leftover she ate the next night.

That will be 1/2x + 1/4x =3/4x

Therefore, Tina ate 3/4 of the whole pan of cornbread.

Answer:

  2. "two thirds of the fourth power of r"

  4.  n + 14

  6.  7 +11n

  8.  (2/5)n^2

__

  7.  28

  8.  1/5

Step-by-step explanation:

2. "two thirds of the fourth power of r"

__

4. "sum" means the listed items are added. You can use any convenient variable to represent "a number." I often use n for number.

  n + 14

__

6. "7 more than" means 7 is added to whatever follows. "11 times a number" means the number is multiplied by 11.

  7 + 11n

__

8. "of" means "times". The square of a number is that number to the power of 2.

  (2/5)n^2

__

7 & 8 (evaluation). Your calculator can do this. (If not, get one that can.) Note that parentheses are needed around numerators and denominators and anything else that must be treated as a single value.

Answer:

2 lunchboxes more.

Step-by-step explanation:

Its 2 lunchboxes more as the question asked how many MORE lunchboxes the first table has then the second table so its bassically 8 - 6 = 2

Answer:

[tex]\frac{5}{1-x}[/tex]

Step-by-step explanation:

Given

[tex]\frac{3}{1-x}[/tex] - [tex]\frac{2}{x-1}[/tex]

= [tex]\frac{3}{1-x}[/tex] - [tex]\frac{2}{-1(1-x)}[/tex]

= [tex]\frac{3}{1-x}[/tex] + [tex]\frac{2}{1-x}[/tex]

= [tex]\frac{5}{1-x}[/tex]

Answer:

The angle of rotation is 120°

Step-by-step explanation:

The given quadrilateral A can be taken as being upright form, however, by measurement, using a protractor application, the base of the quadrilateral is inclined at an angle of 13° to the horizontal, the positive direction of the x-axis, before rotation while the base of the B which is the image of A after rotation, is found to be at angle of 133° to the positive direction of the horizontal x-axis

Therefore, the angle of rotation = 133° - 13° = 120°

Answer:

[tex]B = \frac{g}{m-2g}[/tex]

Step-by-step explanation:

Given

[tex]g = mB - 2qB[/tex]

Required

Solve for B

[tex]g = mB - 2qB[/tex]

Factorize the expression

[tex]g = B(m - 2q)[/tex]

Divide both sides by m - 2g

[tex]\frac{g}{m-2g} = \frac{B(m - 2q)}{m-2g}[/tex]

[tex]\frac{g}{m-2g} = B[/tex]

Reorder

[tex]B = \frac{g}{m-2g}[/tex]