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3 years ago

15

find the slope of the line on the graph write your answer as a fraction or a whole number not a mixed number or decimal

1 answer:

Elden [556K]3 years ago

3 0

The slope of the line is the fraction 3/3

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what is the ratio for the volumes of two similar spheres given that the ratio of their radii is 4:7 A.)343:64 B.)49:16 C.)16:49

quester [9]

Answer:

Volume of the similar sphere be 64 :343 .

Option (D) is correct.

Step-by-step explanation:

Formula

$Volume\ of\ a sphere = \frac{4}{3}\pi r^{3}$

As given

The volumes of two similar spheres given that the ratio of their radii is 4:7 .

Let us assume that the x be the scalar multiple of the radi .

Radius of first sphere = 4x

Radius of second sphere = 7x

Putting the values in the formula

$Volume\ of\ first\ sphere = \frac{4}{3}\pi\times 4x\times 4x\times 4x$

$Volume\ of\ first\ sphere = \frac{4}{3}\pi\times 64x^{3}$

$Volume\ of\ second\ sphere = \frac{4}{3}\pi\times 7x\times 7x\times 7x$

$Volume\ of\ second\ sphere = \frac{4}{3}\pi\times 343x^{3}$

Thus

$\frac{Volume\ of\ first\ sphere}{Volume\ of\ second\ sphere} = \frac{\frac{4\pi\times 64x^{3}}{3}}{\frac{4\pi\times 343x^{3}}{3}}$

$\frac{Volume\ of\ first\ sphere}{Volume\ of\ second\ sphere} = \frac{64}{343}$

Therefore the ratio of the volume of the similar sphere be 64 :343 .

Option (D) is correct .

5 0

2 years ago

Read 2 more answers

Using mathematical induction prove whether or not the following statement is true for all positive integers n, or show why it is

aniked [119]

Base case: For $n=1$ , the left side is 2 and the right is $2\cdot1^2=2$ , so the base case holds.

Induction hypothesis: Assume the statement is true for $n=k$ , that is

$2+6+10+\cdots+4k-2=2k^2$

We want to show that this implies truth for $n=k+1$ , that

$2+6+10+\cdots+4k-2+4(k+1)-2=2(k+1)^2$

The first $k$ terms on the left reduce according to the assumption above, and we can simplify the $k+1$ -th term a bit:

$\underbrace{2+6+10+\cdots+4k-2}_{2k^2}+4k+2$

$2k^2+4k+2=2(k^2+2k+1)=2(k+1)^2$

so the statement is true for all $n\in\mathbb N$ .

5 0

3 years ago

Rainforest data:

scoundrel [369]

Answer:

x is = 11.7 μ=7

z11.7 ≈ 1.3

next two is A and B

Step-by-step explanation:

These are correct 100%

4 0

3 years ago

In DEF, FE = 3 and m angle F = 37, Find DE to the nearest tenth.

diamong [38]

We know that
in the right triangle DEF
tan F=opposite side angle F/adjacent side angle F
where
angle F=37°
opposite side angle F=DE
adjacent side angle F=FE-----> 3 units
so

tan F=DE/FE--------> DE=FE*tan F------> DE=3*tan 37-----> DE=2.26----> 2.3 units

the answer is
DE is 2.3 units

8 0

3 years ago

Ligers are a cross between lions and tigers. They exist only in zoos because lions and tigers do not live together in the wild.

Kipish [7]

Answer:

2 there are multiple animals of the same species that do not look alike this is the best choice

Step-by-step explanation:

3 0

3 years ago