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4 years ago

16. Vocabulary A number written in

Mathematics

2 answers:

r-ruslan [8.4K]4 years ago

7 0

30,000 + 9,000 + 5 which would equal = 39,005

alexandr402 [8]4 years ago

7 0

Answer:

$39005=30000+9000+5$

Step-by-step explanation:

Expanded form is the method to find the place value of any digits. In this question, we need to write the number in expanded form. The given number is, N = 39,005

Here, 3 is in ten thousand place, 9 is in thousand place and 5 is in unit place. Its expanded form is given by :

$39005=30000+9000+5$

So, the given number thirty nine thousand and five can be written as $30000+9000+5$ as expanded form. Hence, this is the required solution.

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PLEASE HELP IM STUCK

Fiesta28 [93]

Answer:

y = 7.25 + 0.65x

Step-by-step explanation:

y = total cost

x = each mile

it starts at 7.25

any mile after that is an extra $0.65

y = 7.25 + 0.65x

8 0

2 years ago

What is the simplest form of i^16 plus i^6 minus 2i^5 plus i^13?

BARSIC [14]

$\bf \textit{recall that}\qquad i^4=1\qquad i^3=-i\qquad i^2=-1\\\\
-------------------------------\\\\
i^{16}+i^6-2i^5+i^{13}\implies i^{4\cdot 4}~+~i^{4+2}~-~2i^{3+2}~+~i^{4+4+4+1}
\\\\\\
(i^4)^4~+~i^4\cdot i^2~-~2\cdot i^3\cdot i^2~+~i^4\cdot i^4\cdot i^4\cdot i^1
\\\\\\
(1)^4+[1\cdot -1]-[2(-i)(-1)]+[(1)(1)(1)(i)]
\\\\\\
1-1-2i+i\implies -i$

6 0

4 years ago

Please help me thanks!!!

snow_lady [41]

Problem 9

r+h = 9

SA = 2*pi*r^2 + 2*pi*r*h = 54pi

2*pi*r^2 + 2*pi*r*h = 54pi

2pi*r(r + h) = 54pi

r(r+h) = 27

r(9) = 27

9r = 27

r = 27/9

r = 3

r+h = 9

h = 9-r

h = 9-3

h = 6

Answers: r = 3 and h = 6 are the radius and height respectively.

==========================================================

Problem 10

d = diameter = 68 mm

r = radius = d/2 = 68/2 = 34 mm

SA = surface area of a sphere

SA = 4*pi*r^2

SA = 4*pi*34^2

SA = 4264pi

Answer: 4264pi square mm

==========================================================

Problem 11

Plug V = 3000 into the sphere volume formula and isolate r.

V = (4/3)pi*r^3

3000 = (4/3)pi*r^3

(4/3)pi*r^3 = 3000

4pi*r^3 = 3*3000

4pi*r^3 = 9000

r^3 = 9000/(4pi)

r = cube root( 9000/(4pi) )

r = ( 9000/(4pi) )^(1/3)

r = 8.947002 approximately

Now we can determine the surface area of this sphere.

SA = 4pi*r^2

SA = 4*pi*( 8.947002 )^2

SA = 1005.923451

Answer: 1005.923451 square feet approximately

==========================================================

Problem 12

We'll follow the same idea as problem 11, but in reverse.

SA = 4*pi*r^2

400pi = 4pi*r^2

r^2 = (400pi)/(4pi)

r^2 = 100

r = sqrt(100)

r = 10

Luckily we get a nice whole number for the radius r. Use it to find the volume.

V = (4/3)*pi*r^3

V = (4/3)*pi*10^3

V = (4000/3)pi

Answer: (4000/3)pi cubic inches exactly

==========================================================

Problem 13

The diagram is missing. I don't have enough info to be able to answer.

8 0

2 years ago

if a rectangle is at points 2,-5 1,-5 1,-2 2,-2 and you move it 90 degrees counterclockwise what is the answer

stiv31 [10]

Answer:

(5, 2), (5, 1), (2, 1), (2, 2)

Step-by-step explanation:

When rotated 90° CCW about the origin, a point is transformed by the rule ...

(x, y) ⇒ (-y, x)

Your points get transformed to ...

(2, -5) ⇒ (5, 2)

(1, -5) ⇒ (5, 1)

(1, -2) ⇒ (2, 1)

(2, -2) ⇒ (2, 2)

7 0

3 years ago

Margie is standing on a bridge looking at the river below. She throws a rock over the bridge with an initial

Marina CMI [18]

<h2>Explanation:</h2><h2></h2>

Here we know that Margie is standing on a bridge looking at the river. She throws a rock over the bridge with an initial velocity of 60 ft/sec. The height, h, of the rock at the rime t seconds after it was thrown can be modeled by the equation:

$h(t) = -16t^2+60t+72$

To calculate how long will it take for the rock to reach the surface of the water, we need to set $h(t)=0$ . So:

$0 = -16t^2+60t+72 \\ \\ \\ \text{Using quadratic formula}: \\ \\ t=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ \\ a=-16 \\ \\ b=60 \\ \\ c=72 \\ \\ \\ t=\frac{-60 \pm \sqrt{60^2-4(-16)(72)}}{2(-16)} \\ \\ t=\frac{-60 \pm \sqrt{60^2-4(-16)(72)}}{2(-16)} \\ \\ t=\frac{-60 \pm \sqrt{8208}}{-32} \\ \\ t_{1}=4.70 \\ \\ t_{2}=-0.95$

Given that time can't be negative, we just choose the positive value. Therefore, <em>it will take 4.70 seconds for the rock to reach the surface water.</em>

6 0

3 years ago