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Softa [21]
3 years ago
12

The volume of an object is equal to the ratio of its mass to density, V = StartFraction m Over d EndFraction. The mass of a sphe

rical grape is 8.4 grams and its density is 2 grams per cubic centimeter.
What is the radius of the grape? Round to the nearest tenth of a centimeter.

1.0 cm
1.5 cm
1.9 cm
2.1 cm
Mathematics
2 answers:
Vladimir79 [104]3 years ago
7 0

Answer:

<h2>R=1.0 cm</h2>

Step-by-step explanation:

V=m/d

V=8.4g/(2g/cm³)=4.2cm³

V=4 π R³/3 ;  π≅3.14

R³ =3V/(4 π)=3*4.2cm³/(4*3.14)=12.6cm³/12.56 ≅ 1.0 cm³

=>R=∛(1.0 cm³) =1.0 cm

saw5 [17]3 years ago
3 0

Answer:

Number one (A)

Step-by-step explanation:

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Jeanne Crawford had $9,675.95 deposited in an account paying
Anni [7]

Answer:

a. $10,943.30

b. $1,267.35

Step-by-step explanation:

P = $9,675.95

r = 6.25% = 0.0625

t = Compounded Semiannually = 2

a. Amount after 2 Years

n = 2

A = P [1 + (r / n)]^nt

A = $9,675.95 [1 + (0.0625 / 2)]² ˣ ²

A = $9,675.95 [1 + 0.03125]⁴

A = $9,675.95 [1.03125]⁴

A = $9,675.95 x 1.130982

A = $10,943.30

b. Compound Interest

Compound Interest = Final Amount - Principal Amount

Compound Interest = $10,943.30 - $9,675.95

Compound Interest = $1,267.35

8 0
3 years ago
7 divided by 4 x + 3 Y + 4 divided / 4 x minus 3 Y is equal to 5 / 4
DerKrebs [107]

9514 1404 393

Answer:

  (x, y) = (4, 4)

Step-by-step explanation:

If you attempt to solve this by clearing fractions, you end up with an extraneous solution. Here, we'll solve the linear equations ...

  7a +4b = 5/4

  8b -14a = 3/2

where a = 1/(4x+3y) and b = 1/(4x-3y)

Dividing the second equation by 2 and adding the first, we have ...

  (7a +4b) +1/2(8b -14a) = (5/4) +1/2(3/2)

  8b = 8/4

  b = 1/4

Substituting into the first equation gives ...

  7a +4/4 = 5/4

  a = 1/28

__

Now, we can get back to solving for x and y.

  4x +3y = 1/a = 28

  4x -3y = 1/b = 4

  8x = 32 . . . . . . . . . add the two equations

  x = 4

  3y = 28 -4x = 28 -4(4) = 12 . . . . . use x in the equation for 'a'; rearrange

  y = 4 . . . . divide by 3

The solution to the system of equations is (x, y) = (4, 4).

_____

<em>Additional comment</em>

If you graph these equations, you find they describe hyperbolas that intersect at (0, 0) and (4, 4). The "solution" (0, 0) is extraneous, as both equations are undefined there.

7 0
3 years ago
If a cannonball is shot directly upward with a velocity of 160 ft per​ second, its height above the ground after t seconds is gi
Contact [7]

Step-by-step explanation:

If a cannonball is shot directly upward with a velocity of 160 ft per​ second. Its height as a function of time is given by :

h(t)=160t-16t^2 .......(1)

t is in seconds

(a) Velocity is given by :

v=\dfrac{dh}{dt}\\\\v=\dfrac{d(160t-16t^2)}{dt}\\\\v=(160-32t)\ ft/s  

Acceleration is given by :

a=\dfrac{dv}{dt}\\\\a=\dfrac{d(160-32t)}{dt}\\\\a=-32\ ft/s^2

(b) For maximum height put \dfrac{dh}{dt}=0

i.e.

160-32t=0\\\\t=5\ s

Put t = 5 s in equation (1). So,

h(5)=160t-16t^2\\\\h(5)=160(5)-16(5)^2\\\\h(5)=400\ ft

(c) When the ball reaches ground, its height is equal to 0. So,

h(t) = 0

160t-16t^2=0\\\\t(160-16t)=0\\\\t=0,t=10\ s

Hence, this is the required solution.

4 0
3 years ago
The square of m minus the cube of n is sixteen
mr_godi [17]

{m}^{2}  -  {n}^{3 }  = 16
4 0
3 years ago
Please helppppp please asap
Ksivusya [100]

Answer:

126.8

Step-by-step explanation:

angles opposite each other when two lines cross are always equal

6 0
3 years ago
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