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GrogVix [38]
3 years ago
15

A bathtub can hold 80 gallons of water. The faucet flows at a rate of 4 gallons per minute. What percentage of the tub will be f

illed after 6 minutes?
Mathematics
1 answer:
krok68 [10]3 years ago
6 0

Answer:

120

Step-by-step explanation:

80 divided by 2 is 40 plus 80 would be 120 which is 6 minutes worth of filling

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devlian [24]
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all of order. I'll have to confirm this though
8 0
3 years ago
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What is log3 ( x+5)=2?
Naddik [55]

(3) is the base of the new equation

(x + 5) is the answer of the new equation

(2) is the exponent on base (3)

;The new equation after simplifying is...,

; 3^2 = x + 5

; 9 = x + 5

; x = 9 - 5

;Hence...x = 4

4 0
3 years ago
The hypotenuse of a right triangle is 4 feet
zaharov [31]

Answer:

514 feet

Step-by-step explanation:

Just simply use the pythagorean thereom:

a^2 +b^2 = c^2

put in the values of a, b, and c with the side lengths of the triangle:

x feet, 64 feet, and x+4 feet

x^2 +64^2 = (x+4)^2 , thus x =510

the hypotenuse = x+4 feet = 510 + 4 = 514

ANSWER: 514 feet

3 0
3 years ago
Help a girl out ?? i'm not sure how to do the equation .
LekaFEV [45]

Answer:

 Investment amount after 9 years = 14715.12$

Explanation:

 It is given to use continuous change function, A(t) = Pe^{rt}

Here P = Principal = 10500$

          r = Rate of increase = 0.0375

          t = Number of years = 9

  A(t) = Pe^{rt}\\ \\ A(t) = 10500*e^{0.0375*9}=14715.12

 So, investment amount after 9 years = 14715.12$

6 0
3 years ago
This table shows the input and output values for an exponential function f(x) .
Gre4nikov [31]
The correct answer is:  [B]:  "4 " .
______________________________________
Explanation: 
______________________________________
Refer to the table (provided within the actual question).

Note that the "inputs" ; or "x-values" ; are all listed in "chronological order" ; and are all "one (1) unit apart. and range from:  "x = -3"  to "x = 3" .

When "x = 0" ; the "output" ; or "f(x)"  is "1/4" . 
When "x = 1"  ; the "output" ; or "f(x)" is:  "1" .
_________________________________________________
So; the ratio of these two "outputs"  is:  "¼ : 1"  ; or, write as:
  " (¼) / 1 " ;   and note that:  " (¼) / 1 =  (¼) ÷ 1 = ¼.

However; note that: "1/4" ; or  "1:4" is NOT among the [answer choices given].

However, the ratio of the 2 (two) corresponding "outputs"; chronologically,
going from when "x = 1" ; to "x = 0" ;  is:  "1 : ¼" ; or;  write as:  "1 / (¼)" ; 

And note that:  "1 / (¼)"  =  " 1 ÷ (¼) " = 1 * (4/1) = 1 * 4 = "4" .

This corresponds to:  Answer choice: [B]:  "4<span>" .
</span>_________________________________________________
Let us further confirm that this answer is correct:
_________________________________________________
When x = 3;  the "output" is:  "16" .

When x = 2;  the "output" is:  "4" .

The ratio:  "16/4 = ?  4 ? " ;    →  Yes!
_________________________________________________
When x = 2;  the "output" is:  "4" .

When x = 1;   the "output" is:  "1" .

The ratio:  "4/1  = ?  4 ? " ;    →  Yes!
_________________________________________________
When x = 1;  the "output" is:  "1" .

When x = 0; the "output" is:  "(¼)" .

The ratio:  "1 / (¼)  = ?  4 ? " ;  

   →  "1 / (¼)"  =  " 1 ÷ (¼) " = 1 * (4/1) = 1 * 4 = "4" . YES!
________________________________________________
When  x = 0; the "output" is:  "(¼)" .

When  x = -1; the "output" is:  "(¹/₁₆)" .

The ratio:  "(¼) / (¹/₁₆)  = ?  4 " ? ;  
  
   →  "(¼) / (¹/₁₆) = "(¼) ÷ (¹/₁₆) " =  "(¼) * (¹⁶/₁) = (1*16) / (4*1) = 16/4 = "4" .  Yes!
________________________________________________________
When  x = -1; the "output" is:  "(¹/₁₆)" .

When  x = -2; the "output" is:  "(¹/₆₄)" .

The ratio:  "(¹/₁₆) / (¹/₆₄)  = ?  4 " ? ;  
  
   →  "(¹/₁₆) / (¹/₆₄)  = "(¹/₁₆) ÷ (¹/₆₄)" = "(¹/₁₆) * (⁶⁴/₁)" = (1*64) / (16*1) = 64/16 = "4" . Yes!
__________________________________________________________
When  x = -2; the "output" is:  "(¹/₆₄)" .

When  x = -3; the "output" is:  "(¹/₂₅₆)" ,

The ratio:  "(¹/₆₄)/(¹/₂₅₆)  = ?  4 " ? ;  
  
 → "(¹/₆₄) / (¹/₂₅₆)"  ;
 
       =   " (¹/₆₄) ÷ (¹/₂₅₆)" = " (¹/₆₄) * (²⁵⁶/₁) " = (1*256) / (64*1) = 256/164  =  "4 " . Yes!
__________________________________________________________
  → So; as calculated; the ratio is:  "4" ;  which is:
__________________________________________________________
  →  Answer choice:  [B]:  "4" .
__________________________________________________________
8 0
3 years ago
Read 2 more answers
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