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adell [148]
3 years ago
12

What percent of 71 hours is 108 hours?

Mathematics
1 answer:
marta [7]3 years ago
6 0

Answer:

jekjkjkjkldjkefjfff a

Step-by-step explanation:

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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 representedh(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
After the addition of an acid, a solution has a volume of 90 milliliters. The volume of the solution is 3 milliliters greater th
11111nata11111 [884]

Answer: 21.75\ milliliters

Step-by-step explanation:

Let be "x" the original volume of the solution (in milliliters) before the acid was added and "y" the volume of the solution (in milliliters) after the addition of the acid.

Set up a system of equations:

\left \{ {{x+y=90} \atop {y=3x+3}} \right.

Applying the Substitution Method, you can substitute the second equation into the first equation and then solve for "x":

x+y=90\\\\x+(3x+3)=90\\\\4x+3=90\\\\x=21.75

6 0
3 years ago
The sum is 2 One number is twice the other one.​
Scorpion4ik [409]

Answer:

The smaller number is 0.6666... repeating, and the larger number is 1.3333... repeating.

Step-by-step explanation:

7 0
3 years ago
One of the most popular indonesian traditional ensemble​
Arte-miy333 [17]

Answer:

Gamelan

Step-by-step explanation:

a gamelan, is gamelan

8 0
3 years ago
The variance Var(x) for the binomial distribution is given by equation :
aliina [53]

Answer: d. np(1 - p).

Step-by-step explanation:

Let x be any binomial variable which represents the number of success such that X\sim B(n, p) , where n is the sample size or the total number of trials and p is the probability of getting success in each trial .

Then, the mean E(x) and the variance Var(x) for the binomial distribution is given by equation :

E(x)=\mu=np

Var (x)=\sigma^2=np(1-p)

where n is the sample size or the total number of trials and p is the probability of getting success in each trial .

Therefore , the correct option is option d. np(1 - p) .

6 0
3 years ago
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