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3 years ago

The answer should be 290 cm2, i will post a comment here later if it is wrong or not. Have a good day :)

Mathematics

1 answer:

labwork [276]3 years ago

7 0

Answer:

UwU

Step-by-step explanation:

ok good luck then

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First-order differential equations need not have unique solutions satisfying a given initial condition.

astraxan [27]

Answer:

a) No Unique solution

b) No Unique solution

c) No unique solution

Step-by-step explanation:

The step by step explanation is as shown in the attachment below

6 0

3 years ago

F(x) varies inversely with x and f(x) = –10 when x = 5. What is the inverse variation equation?

Andreyy89

f(x) = –10
f(5)=-10
f=-10 divided by 5
f=-2

3 0

3 years ago

(x2 + 1) dy /dx + 3x(y − 1) = 0, y(0) = 3 how do i go about solving this mess

monitta

Consider, pls, this option.

7 0

3 years ago

The radius of a softball is 3.75 cm, and the radius of a table tennis ball is 2 cm. The volume of the softball is how many times

Natali5045456 [20]

Answer:

The volume of the softball is 6.6 times the volume of the tennis ball

Step-by-step explanation:

we know that

The volume of a sphere is equal to

$V=\frac{4}{3}\pi r^{3}$

step 1

Find the volume of the softball

we have

$r=3.75\ cm$

substitute

$V=\frac{4}{3}(3.14)(3.75)^{3}=220.8\ cm^{3}$

step 2

Find the volume of the tennis ball

we have

$r=2\ cm$

substitute

$V=\frac{4}{3}(3.14)(2)^{3}=33.5\ cm^{3}$

step 3

Divide the volume of the softball by the volume of the tennis ball

$220.8\ cm^{3}/33.5\ cm^{3}=6.6$

therefore

The volume of the softball is 6.6 times the volume of the tennis ball

Alternative Method

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

The scale factor is equal to the ratio of its radius

$\frac{3.75}{2}=1.875$

therefore

The scale factor elevated to the cube is

$1.875^{3}=6.6$

therefore

The volume of the softball is 6.6 times the volume of the tennis ball

5 0

3 years ago

Which graph correctly represents 1/3y-1/2x>2 ?

Tanzania [10]

Put it in the form of y =mx +b, or in this instance, y> mx +b
move the (1/2) x to the right by adding it to both sides of the inequality
(1/3)y>(1/2)x +2
Multiply by 3 on both sides to get y by itself.
y>(3/2) x +6
This is a graph with y intercept of (0,6) and a moderate upward and to the right slope. Because it is > , the line on the graph will NOT be part of the solution.

The easiest way to find the side of the graph that the inequality satisfies is to use (0,0) and see if it works or doesn't work. In the original equation, 0-0>2 does NOT work, so the area where the inequality works is to the up and left of the graph, which should be a dotted line to show that the inequality is greater than only.
The point (6,-2) should work.
Test it. 6*(1/3)-(-2)*(1/2)>0 ; 2-(-1)=3, and 3>2 It does work.
The point (6,2) should not work
Test it. 6 *(1/3)-2(1/2)=2-1 ; 1 is NOT >2, so it does not work.
If the graph goes through the origin, then pick a point near the graph with a small x or y.

7 0

4 years ago