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Elan Coil [88]
3 years ago
5

Which expression is equivalent to the equation?

Mathematics
1 answer:
IrinaK [193]3 years ago
4 0

Answer:

Option 1

Step-by-step explanation:

The given equation equals 3072, so find the other equation that equals 3072.

Option 1 = 3072 - correct

Option 2 = 432 - wrong

Option 3 = 2883 - wrong

Option 4 = 432 - wrong

I hope this helps!

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Undecillion how many 0s.
Irina-Kira [14]

Answer:

<u>Undecillion</u> has 36 0's

\sf{\#FromThePhilippines}

8 0
3 years ago
Why does -4i*i=4? what happens to the i when you multiply it
Alchen [17]

▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ { \huge \mathfrak{Answer}}▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪ ▪

As we know that :

  • {i}^{2}  = i \times i =  - 1

so, over here

  • - 4i \times i

  • - 4 {i}^{2}

plugging the value of i² as -1

  • - 4   (- 1)

  • 4
8 0
3 years ago
The radius of the tires of a car is 18 inches, and they are revolving at the rate of 651 revolutions per minute. How fast is the
Mumz [18]
So the car is moving at 651 revolutions per minute, with wheels of a radius of 18inches

so, one revolution, is just one go-around a circle, and thus 2π, 651 revolutions is just 2π * 651, or 1302π, the wheels are moving at that "angular velocity"

now, what's the linear velocity, namely, the arc covered per minute

well   \bf v=rw\qquad &#10;\begin{cases}&#10;v=\textit{linear velocity}\\&#10;r=radius\\&#10;w=\textit{angular velocity}\\&#10;----------\\&#10;r=18in\\&#10;w=1302\frac{\pi }{min}&#10;\end{cases}\implies v=18in\cdot \cfrac{1302\pi }{min}&#10;\\\\\\&#10;v=\cfrac{23436\pi\ in}{min}

now, how much is that in miles/hrs?  well
let's keep in mind that, there are 12inches in 1foot, and 5280ft in 1mile, whilst 60mins in 1hr

thus   \bf \cfrac{23436\pi\ in}{min}\cdot \cfrac{ft}{12in}\cdot \cfrac{mi}{5280ft}\cdot \cfrac{60min}{hr}\implies \cfrac{23436\cdot \pi \cdot 60\ mi}{12\cdot 5280\ hr}

notice, after all the units cancellations, you're only left with mi/hrs
4 0
3 years ago
Manufacture wants to enlarger it's floor area 1.5 times that of the current facility. The current facility is 260 ft by 140 ft.
Lady bird [3.3K]

Answer:

New dimensions of the floor is approximately 301.25 ft by 181.25 ft

Step-by-step explanation:

The question is incomplete. The complete question should be:

Manufacture wants to enlarger it's floor area 1.5 times that of the current facility. The current facility is 260 ft by 140 ft. The manufacture wants to increase each dimension the same amount. Write the dimensions of the new floor.

Given:

Length of floor = 260 ft

Width of floor = 140 ft

The floor area is increased 1.5 times.

To find the new dimensions of the floor.

Solution:

Original area of the floor = length\times width= 260\times 140=36400\ ft^2

New area = 1.5\times Original\ Area = 1.5\times 36,400=54,600\ ft^2

Let the length and width be increased by x ft.

Thus, new length = (260+x)\ ft

New width = (140+x)\ ft

Area of the new floor can be given as:

⇒ new\ length\times new\ width

⇒ (260+x)(140+x)

Multiplying using distribution.

⇒ x^2+260x+140x+36400

⇒ x^2+400x+36400

Thus we can equate this with new area to get the equation to find x

x^2+400x+36400=54600

subtracting both sides by 54600.

x^2+400x+36400-54600=54600-54600

x^2+400x+18200=0

Using quadratic formula:

For a quadratic equation ax^2+bx+c=0

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}

For the equation x^2+400x-18200=0

x=\frac{-400\pm\sqrt{(400)^2-4(1)(-18200)}}{2(1)}

x=\frac{-400\pm\sqrt{232800)}}{2}

x=\frac{-400\pm482.49}{2}

x=\frac{-400+482.49}{2} \ and\ x= \frac{-400-482.49}{2}

∴ x\approx 41.25 \ and\ x\approx-441.25

Since length is being increased, so we take x\approx41.25

New dimensions are:

New length \approx 260\ ft + 41.25\ ft =301.25\ ft

New width \approx 140\ ft + 41.25\ ft =181.25\ ft

3 0
3 years ago
ASAP PLEASE please please
Aleksandr [31]

{ \qquad\qquad\huge\underline{{\sf Answer}}}

Let's solve ~

\qquad \sf  \dashrightarrow \:  \cfrac{1}{b}  + 10 =  \cfrac{9}{b}  + 7

\qquad \sf  \dashrightarrow \:  \cfrac{9}{b}  -   \cfrac{1}{b} =  10 -   7

\qquad \sf  \dashrightarrow \:  \cfrac{8}{b}   =  3

\qquad \sf  \dashrightarrow \: b =  \cfrac{8}{3}

5 0
2 years ago
Read 2 more answers
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