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stiks02 [169]
4 years ago
12

The point where the two sides of an angle meet, or where the edges of a three-dimensional intersect.

Mathematics
1 answer:
Ymorist [56]4 years ago
3 0
I believe you are describing a vertex
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Simplify: 5^(2)x 5^(4)x5^(-4)x5^(-2)
Katen [24]

Answer:

320x^{15}

Step-by-step explanation:

1. take out constants

( 5 × 2 × 4 × - 4 × - 2) x^{5} x^{5} x^{5}

2. simplify 5 × 2 to 10

(10 × 4 - 4 × - 2)x^{5} x^{5} x^{5}

3. simplify 10 × 4 to 40

(40 × - 4 × - 2)x^{5} x^{5} x^{5}

4. simplify 40 × -4 to -160

(-160 × - 2)x^{5} x^{5} x^{5}

5. simplify -160 × -2 to 320

320x^{5} x^{5} x^{5}

6. use product rule:x^{a} x^{b} =x^{a+b}

320x^{5+5+5}

7. simplify 5 + 5 to 10

320x^{10+5}

8. simplify 10 + 5 to 15 320x^{15}

3 0
3 years ago
The exponential decay graph shows the expected depreciation for a new boat, selling for $3500, over 10 years a. Write an exponen
Alex Ar [27]
For the answer to the question above,  
<span>V(n) = a * b^n, where V(n) shows the value of boat after n years. 
V(0) = 3500 
V(2) = 2000 

n = 0 
V(0) = a * b^0 = 3500 
a = 3500 

V(2) = a * b^2 
2000 = 3500 * b^2 
b = sqrt (2000/3500) 
b ≈ 0.76 

V(n) = 3500 * 0.76^n 

We can check it for n = 1 which is close to 2500 in the graph: 
V(1) = 3500 * (0.76)^1 
V(1) = 2660 

And in the graph we have V(3) ≈ 1500, 
V(n) = 3500 * (0.76)^3 ≈ 1536 

Now n = 9.5 
V(9.5) = 3500 * (0.76)^(9.5) 
V(9.5) ≈ 258</span>
4 0
4 years ago
Read 2 more answers
What is 2.375 as a fraction
olga nikolaevna [1]

Answer:

\frac{19}{8}  = 2  \frac{3}{8}

Step-by-step explanation:

\frac{2375}{1000}  =  \frac{475}{200}  =  \frac{19}{8}  = 2 \frac{3}{8}

7 0
3 years ago
What is the equation of the line perpendicular to 3x+4y=12 and containing the point (6,-2)
tester [92]

3x+4y=12

4y = - 3x + 12

 y = -3/4 x + 3; This line has slope equal - 3/4

Perpendicular lines, slope is opposite and reciprocal so slope of new line = 4/3

Passing point (6 , -2)

y + 2 = 4/3(x - 6)

y + 2 = 4/3 x - 8

y = 4/3 x - 10

Answer

Equation: y = 4/3 x - 10

6 0
3 years ago
Brianna buys a doll for 11.58 and some lotion for 3.14 she pays with a 20 dollar bill how much change should she get to the near
sertanlavr [38]

Answer:

5.30

Step-by-step explanation:

11.58 + 3.14 = 14.72

20 - 14.72 = 5.28

nearest dime is 5.30

6 0
3 years ago
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