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snow_lady [41]
4 years ago
13

19) A submarine ascended from 56.8 meters under the sea level to 27.4 meters under the sea level.

Mathematics
1 answer:
ElenaW [278]4 years ago
5 0

Answer:

29.4 meters

Step-by-step explanation:

Given the following :

A submarine ascended from 56.8 meters under the sea level to 27.4 meters under the sea level.

distance it moved between two positions. Use the "distance on the number line "formula

Initial Position or distance of submarine before ascension = 56.8 meters

Final position after ascension = 27.4 meters

The distance moved by the submarine between the two positions can be obtained by.

(Initial distance - Final distance)

(56.8 - 27.4) = 29.4 meters

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gogolik [260]

Let

A(4,0)

B(12,5)

C(20,10)

we know that

The x-intercept of the line is the value of x when the value of y is equal to zero

The y-intercept of the line is the value of y when the value of x is equal to zero

The point A(4,0) is the x-intercept of the line

<u>Find the slope AB</u>

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

mAB=(5-0)/(12-4)--------> mAB=5/8

<u>with the slope m and the point A(4,0) find the equation of the line</u>

y-y1=m*(x-x1)----------> y-0=(5/8)*(x-4)-------> y=(5/8)x-2.5-----> y=0.625x-2.5

<u>Find the y-intercept</u>

For x=0

y=0.625*0-2.5---------> y=-2.5

the y-intercept is the point (0,-2.5)

therefore

<u>the answer is</u>

the x-intercept is the point (4,0)

the y-intercept is the point (0,-2.5)

see the attached figure to better understand the problem

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3 years ago
Which of the following are not true about functions
Ksju [112]
What are the options?
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What is the volume of a right circular cone with a diameter of 21 centimeters and a height of 87 centimeters? Use 3.14 as an app
Sindrei [870]
The volume of the cone will be given by:
Volume=1/3πr^2h
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san4es73 [151]

Answer:

The 4th term of the expanded binomial is -4320x^3y^3

Step-by-step explanation:

Considering:

$ (x+y)^n = \sum_{k=0}^{n} \binom{n}{k}  x^{n-k}y^k$

$ (2x-3y)^6 = \sum_{k=0}^{6} \binom{6}{k}  (2x)^{6-k}(-3y)^k$

Now, you gotta calculate for every value of k

$ (2x-3y)^6 = \binom{6}{0}  (2x)^{6-0}(-3y)^0     +       \binom{6}{1}  (2x)^{6-1}(-3y)^1     +      \binom{6}{2}  (2x)^{6-2}(-3y)^2   +   \\ $

$\binom{6}{3}  (2x)^{6-3}(-3y)^3    +    \binom{6}{4}  (2x)^{6-4}(-3y)^4    +  \binom{6}{5}  (2x)^{6-5}(-3y)^5    +    \binom{6}{6}  (2x)^{6-6}(-3y)^6            $

I will not write every product, but just solve following the steps:

For k=0

$\binom{6}{0}  (2x)^{6-0}(-3y)^0$

$\frac{6!}{(6-0)!(0!)}   (2x)^{6-0}(-3y)^0$

$ \frac{6!}{6!} \left(2x\right)^{6-0}\cdot 1$

$1\cdot \:1\cdot \left(2x\right)^{6-0}$

$2^6x^6$

64x^6

(2x-3y)^6=64x^6-576x^5y+2160x^4y^2-4320x^3y^3+4860x^2y^4-2916xy^5+729y^6

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15 POINTS FOR 4 MATH QUESTIONS!
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Answer: i don't see the math problem?

Step-by-step explanation:

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3 years ago
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