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djverab [1.8K]
2 years ago
7

Find the next term of the following sequence. 25, 10, 4, ... 1.) 02.) 8/5 3.) -5​

Mathematics
1 answer:
Lostsunrise [7]2 years ago
5 0

Answer:

2.) 8/5

Step-by-step explanation:

a4 = 8/5

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Write the equation 
Shkiper50 [21]
a)\ the\ slope-intercept\ form:\ y=mx+b\\--------------------------\\m=\frac{2}{3}\Rightarrow y=\frac{2}{3}x+b\\\\the\ point\ (-3;\ 6)\Rightarrow \frac{2}{3}\times(-3)+b=6\\\\-2+b=6\ \ \ \ \ |add\ 2\ to\ both\ sides\\\\b=8\\\\\boxed{y=\frac{2}{3}x+8}


b)\ the\ two-points\ formula:y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\-----------------------------\\the\ points:\ (3;-1);\ (5;\ 7)\\\\y-(-1)=\frac{7-(-1)}{5-3}(x-3)\\\\y+1=\frac{7+1}{2}(x-3)\\\\y+1=\frac{8}{2}(x-3)\\\\y+1=4(x-3)\\\\y+1=4x-12\ \ \ \ \ |subtract\ 1\ from\ both\ sides\\\\\boxed{y=4x-13}

3 0
3 years ago
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Set both given equations equal to zero, then combine them into standard form equation. Simplify if possible
sergij07 [2.7K]

Answer:

4x-6=4+4y+8=2

Step-by-step explanation:

3 0
2 years ago
A cylindrical soup can has a radius of 1.8 in. and is 6.7 in. tall. Find the volume of the can.
avanturin [10]
<h3><u><em>I</em></u><u><em>nitial considerations</em></u></h3>
  • <em>radius = 1.8 in</em>
  • <em>tall = 6.7 in</em>
  • <em>Volume?</em>

<h3><u><em>Resolution</em></u></h3>

<em>Volume = base area x tall</em>

<em>base area = π x (1.8in)²</em>

<em>base area = 10.179 in²</em>

<em>Volume = 10.179 in² x 6.7 in</em>

<em>Volume = 68.198 in³</em>

<h3 /><h3><em><u>Answer</u></em></h3>

<em>the volume is 68.198 in³</em>

5 0
3 years ago
Pls help 25h²- 16t² factorise it​
noname [10]

Answer:

(5h-4t)(5h+4t)

Step-by-step explanation:

25h² - 16t²

adding  and subtracting 20ht from it        (√25 and √16 = 5x4 = 20):

25h² + 20ht - 20ht -16t²

factor:

(5h-4t)(5h+4t)

8 0
2 years ago
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Question 7 E Worth 5 points)
Zolol [24]

Answer:

45!

Step-by-step explanation:

6 0
2 years ago
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