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Debora [2.8K]
3 years ago
6

If a+b = 5, a³+b³+15ab=?​

Mathematics
1 answer:
kakasveta [241]3 years ago
5 0

Answer:

{a}^{3}  +  {b}^{3}  + 15(5) =  {a}^{3}  +  {b}^{3}  + 75  \\

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2.) Using any tool (Desmos or by hand on scratch paper) graph the inequality. Select 3 points. One point should
insens350 [35]
The line 6x - 2y = 12 goes through -6 on the y-axis and 2 on the x-axis ie through (0, -6) and (2, 0)
The line will be solid and shaded above (towards the origin)

There are an infinite number of choices for the example points!
Here is my selection.
(0, 0) is in the solution set. 6 x 0 - 2 x 0 = 0 which is less than 12
(5, 0) is not in the solution set. 6 x 5 - 2 x 0 = 30 which is greater than 12
(2, 0) is on the line. 6 x 2 - 2 x 0 = 12
5 0
3 years ago
27 solid iron spheres, each of radius 'xcm'ate melted to form a sphere with radius 'ycm',find the ratio x:y​
r-ruslan [8.4K]

Answer:3:1

Step-by-step explanation:

Given

There are 27 solid spheres of  radius x cm

The volume of a sphere is \frac{4}{3}\pi r^3

The volume of 27 old spheres is the same as the volume of a new sphere

The volume of the old spheres is

V_o=\dfrac{4}{3}\pi x^3

The volume of a new sphere is

V_n=\dfrac{4}{3}\pi y^3

Now,V_o=V_n

\Rightarrow 27\times \dfrac{4}{3}\pi x^3=\dfrac{4}{3}\pi y^3\\\\\Rightarrow (\dfrac{x}{y})^3=27\\\\\Rightarrow \dfrac{x}{y}=3

7 0
3 years ago
In the figure below, p ||q. <br> find m 7 if m 8=116°
Serjik [45]

Answer:

m∠7 = 64°

Step-by-step explanation:

∠7 and ∠8 are supplementary meaning they add up to 180°.

m∠7 + m∠8 = 180°

m∠7 + 116° = 180°

m∠7 = 64°

3 0
3 years ago
Read 2 more answers
What is 320 million in scientific notation?
astraxan [27]
The scientific notation:  3.2 x10^2
8 0
3 years ago
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the volume of a large sphere (of radius R) is twice the volume of a smaller sphere (of radius r). form an equation linking r and
Sedaia [141]

Step-by-step explanation:

radius of large sphere is R,

then volume is (4/3)*pie*R³

and

the radius of small sphere is r,

then volume is (4/3)*pie*r³

condition is,

volume of larger sphere is twice of the volume of smaller sphere.

then, (4/3)*pie*R³=2*(4/3)*pie*r³;

R³= 2r³

R=(2^⅓)*r

3 0
3 years ago
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