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3 years ago

Enter your answer as a simplified fraction.

Mathematics

2 answers:

leva [86]3 years ago

8 0

Answer:

1 5/24 total gallons remain

Step-by-step explanation:

yellow: 4/3 - 3/4 = 16/12-9/12 = 7/12

green: 5/4 - 3/4 = 5/4-3/4 = 2/4

blue: 7/8 - 3/4 = 14/16-12/16 = 2/16

7/12 + 2/4 + 2/16 = 28/48 + 24/48 + 6/48 =

58/48 or 1 5/24

svetoff [14.1K]3 years ago

8 0

Answer:

1/3

Step-by-step explanation:

i dont know im guessing

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Someone help me it's due today <br>

GalinKa [24]

Answer:

y=2x+6

Step-by-step explanation:

y=2x+6 you are welcome!!

5 0

2 years ago

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds a

kirill115 [55]

Answer:

12 feet per second.

Step-by-step explanation:

Please consider the complete question.

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds after she jumps for the bone can be represented $h(t)=-16t^2+20t$ .

What is Spot's average rate of ascent, in feet per second, from the time she jumps into the air to the time she catches the bone at t=1/2?

We will use average rate of change formula to solve our given problem.

$\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}$

$\text{Average rate of change}=\frac{h(\frac{1}{2})-h(0)}{\frac{1}{2}-0}$

$\text{Average rate of change}=\frac{-16\cdot(\frac{1}{2})^2+20\cdot \frac{1}{2}-(-16\cdot(0)^2+20\cdot (0))}{\frac{1}{2}-0}$

$\text{Average rate of change}=\frac{-16\cdot\frac{1}{4}+10-(0)}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{-4+10}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{6}{\frac{1}{2}}$

$\text{Average rate of change}=\frac{2\cdot 6}{1}$

$\text{Average rate of change}=12$

Therefore, Spot's average rate of ascent is 12 feet per second.

3 0

3 years ago

What is the true solution to the equation below? In e^in x + in e^in x^2 = 2 in 8

mariarad [96]

To solve the given equation, w need to review some rules:
$(1) \ ln \ e = 1 \\ 
(2) \ ln \ b^{a} = a*ln \ b \\
(3) \ ln \ a + ln \ b = ln \ (ab) \\
(4) \ ln \ a - ln \ b = ln \ \frac{a}{b} \\$

The given equation is :
$ln \ e^{ln \ x} + ln \ e^{ln \ x^{2}} = 2 \ ln \ 8$
$ln \ x * ln \ e + ln \ x^{2} * ln \ e = 2 \ ln \ 8$ ⇒⇒⇒⇒ rule (2)
$ln \ x + ln \ x^{2} = ln \ 8^{2}$ ⇒⇒⇒⇒ rule (1) and rule (2)

$ln \ ( x* x^{2} ) = ln \ 64$ ⇒⇒⇒⇒ rule (3)
removing the nature logarithm from both sides

$x^{3} = 64 = 4^{3}$
∴ x = 4

So, the correct answer is option (2) ⇒⇒⇒⇒ x = 4

5 0

2 years ago

Read 2 more answers

Evaluate the express<br> 1. (15 - 4) + 33<br> What’s the answer

nlexa [21]

Answer:44

Step-by-step explanation:44

7 0

2 years ago

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At a speed of 22 revolutions per minute, how long will it take a wheel of radius 10,

Bogdan [553]

Well, if the radius is 10, then the circumference is $\frac{2*10*22}7=\frac{440}7$
What's the unit? Either way, 22 rev. per minute means each minute you go by $22*\frac{440}7=\frac{9680}7$ units per second. Now you got the linear speed, just find out the time by dividing the distance by the speed!
So, what's the unit for the radius?

5 0

3 years ago