A hallow sphere sits snugly inside a foam cube so that the sphere touches all sides. Find the volume of the foam. Round answer to nearest tenth.

The location of the point on the number line that is 3/5 of the way from A = 2 to B = 17 is 11

The points are given as:

A = 2

B = 17

Point = 3/5

The location of the point is then calculated as:

Point = A + 3/5(B - A)

So, we have:

Point = 2 + 3/5(17 - 2)

Evaluate the product

Point = 2 + 9

Evaluate the sum

Point = 11

Hence, the location of the point on the number line that is 3/5 of the way from A = 2 to B = 17 is 11

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Answer:

12

Step-by-step explanation:

x = number of $1 bills

y = number of $5 bills

z = number of $10 bills

We know that:

x + y + z = 25 (total amount of bills)

x + 5y + 10z = 100 (total amount of money)

y = 4z (Given)

Substitute the third equation into the first one.

x + 4z + z = 25

x = 25 - 5z

Put this into the second equation.

(25 - 5z) + 5 (4z) + 10z = 100

Simplify and solve.

25 - 5z + 20z + 10z = 100

25z + 25 = 100

25z = 75

z = 3

Substitute this into y = 4z

y = 4 * 3

y = 12

So, there are 12 $5 bills.

Answer:

12 $5 bills

Step-by-step explanation:

Represent the number of each kind of bill by x, y and z:  there are x $1 bills, y $5 bills and z $10 bills.

According to the problem statement,

x + y + z = 25 and y = 4z (or z = y/4).  Also, the values of the bills add up to $100:

($1)x + ($5)y + ($10)z = $100.  Eliminate z by typing y/4 in its place:

x + y + (y/4) = 25 and

x  + 5y + 10(y/4) = 100

Doing this has reduced the number of variables to two:  x and y.  Combining like terms in both equations, we get:

1x + (5/4)y = 25 and

1x +  (30/4)y       =100

Subtracting the 1st equation from the 2nd, we get:

(25/4)y = 75, or

(4/25)(25/4)y = (4/25)(75) , or y = 12.

If y = 12, z = 12/4, or 3.

Then x + 12 + 3 = 25 coins in all; therefore, x = 15 = 25, and x = 10

There are 10-$1 bills, 12-$5 bills and 3-$10 bills.

9514 1404 393

Answer:

  (d)  y = 1/2sin(2x)

Step-by-step explanation:

The sin(x) function will have a maximum value of 1 and a period of 360°. The function plotted is a sine function with a maximum value of 1/2 and a period of 180°.

For a function g(x) = a·f(b·x), the vertical scale factor is 'a', and the horizontal compression factor is 'b'. Our sine function has a vertical scale factor of 1/2, and a horizontal compression of 360/180 = 2, so the transformed function is ...

  y = 1/2sin(2x)

9514 1404 393

Answer:

  a) 3.18 years

  b) 13.52 years

  c) 23.10 years

Step-by-step explanation:

Solving for t, we find ...

  A = Pe^(rt)

  A/P = e^(rt)

  ln(A/P) = rt

  t = ln(A/P)/r

For P=100 and r=.03, the times are ...

a. $110: t = ln(110/100)/.03 ≈ 3.18 years

b. $150: t = ln(150/100)/.03 ≈ 13.52 years

c. $200: t = ln(200/100)/.03 ≈ 23.10 years

Answer: 52 and 793.25

Step-by-step explanation:

Answer:

1: 52

2: 105.80

Step-by-step explanation:

Answer:

They are adjacent angles

Answer:

P

[tex] \alpha [/tex]

1/q²

P=k/Q²

K=P×Q²

Where P=9

Q=8

K=?

K=9×8²

K=9×64

K=573

So where K= 573

Q=3

P=?

P=K/Q²

P=573/3²

P=573/9

P=63.67

Answer:

After a translation, the measures of the sides and angles on any triangle would be the same since translation only involves changing the coordinates of the vertices of the triangle.

After a rotation, the measures of the sides and angles of a triangle would also be the same. Similar to translation, the proportion of the triangle is unchanged after a rotation.

After a reflection, the triangle's sides and angles would still be the same since reflection is a rigid transformation and the proportion of the sides and angles are not changed.

Step-by-step explanation:

Rigid transformations, i.e. translations, rotations, and reflections, preserve the side lengths and angles of any figure. Therefore, after undergoing a series of rigid transformations, the side lengths and angle measures of any triangle will be the same as the original triangle, generally speaking, in another position.

Answer:

They are all congruent or equal. The angles and side lengths are preserved through the rigid transformations.

Step-by-step explanation:

That’s what i put

Answer:

3 cups of sparkling water

Step-by-step explanation:

So the ratio is 2:4=?:6

Setting them equal to each other, you'll divide 6 by 4

You get 1.5, then multiply 2 by 1.5 to get 3

Answer:

[tex]y - y_1 = m(x - x_1)[/tex]

Step-by-step explanation:

Given

A to D

Required

Which is the point slope equation

The point slope form of a coordinate pair is:

[tex]y - y_1 = m(x - x_1)[/tex]

Hence, (d) is correct

Answer:

100x + 13000y = 865000

Step-by-step explanation:

x = Series A price

y = Series B price

Answer:

18 cm^2

Step-by-step explanation:

Formula for area of triangle: bh/2

4x9=36

36/2=18

Answer: 4.12 km

Step-by-step explanation:

Use the Pythagorean theorem.  Name the hypotenuse (longest side) c and the bottom side b.  Then, simplify and solve for a.

a^2 + b^2 = c^2

a^2 + 8^2 = 9^2

a^2 + 64 = 81

a^2 = 17

a = square root of 17 or approx. 4.12

Please give brainliest!

I think it would be A, B, D and E.

Answer:

6 inches

Step-by-step explanation:

the formula for the volume of a rectangular prism is width*length*height.

Here we are asked to find the height when given a volume. The resultant equation is:

volume = w * l * h

192 cu.in. = 4in*8in*h(inches), simplify the equation by dividing each side by 32 (which is 4*8) to yield:

192 cu.in./32 sq.in.= h inches

6 inches = height

Answer:

7/2, 5/4

Step-by-step explanation:

Answer:

x = 7/2 and y = 5/4

Step-by-step explanation:

2(5x - 2y = 15)

2x + 4y = 12

10x - 4y = 30

2x + 4y = 12                 (add)

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

12x = 42

x = [tex]\frac{42}{12}[/tex] = [tex]\frac{7}{2}[/tex]

2x + 4y = 12         (subsitute)

2([tex]\frac{7}{2}[/tex]) + 4y = 12

7 + 4y = 12

4y = 5

y = [tex]\frac{5}{4}[/tex]

Answer:54.9

Step-by-step explanation:

Answer:

Y=2x+4

Step-by-step explanation:

Y=Mx+b is the slope intercept formula

subtract 2x so you get -y=-2x-4. Then divide everything by-1 .

Answer:

33.33 percent

Step-by-step explanation:

$88

Step-by-step explanation:

55 increase 60%=

55x(1+60%)=55x(1+0.6)=88

Answer:

2 cm, 9 cm, 10 cm

Step-by-step explanation:

To know if a combination is a triangle all you have to do is see if the combinations add up to 180

(2)(9)(10)=180 therefore it is a triangle.

All the other angles do not add up to 180 so they can't be triangles!!

(4)(10)(3) =120

(5)(6)(11) =330

(4)(5)(7) =140

Answer:

3/4

Step-by-step explanation:

slope = rise / run

slope = ∆y/∆x

slope = (y2 - y1) / (x2 - x1)

slope = (6 - 0) / ( 0 - -8)

slope = 6/8

slope = 3/4

Step-by-step explanation:

If you divide 1,000 by 2 since there are £2, you get 500. Multiply 500 by 25 and you got it!

(the answer would be 12,500)