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natka813 [3]
2 years ago
12

A rock falls from rest a vertical distance of 0.72 meter to the surface of a planet in 0.63 second. What is the magnitude of the

acceleration due to gravity on the planet?
Mathematics
1 answer:
ss7ja [257]2 years ago
7 0
S = 0.72 m,  t=0.63 s
s = a · t² /2
0.72 m = a · (0.63 s )² / 2       
a · 0.3969 s² = 1.44 m 
a = 1.44 m : 0.3969 s² = 3.628 m/s²
The magnitude of the acceleration due to gravity on the planet is 3.628 m/s²

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The sum of an infinite geometric sequence is 33.25.
marysya [2.9K]

Answer:

Let a be the first term.

The sum is a1−r=33.25.

The second term is ar=7.98, so a=7.98/r.

Putting these together, 7.98/r(1−r)=33.25 or r(1−r)=0.24=0.6×0.4.

If the answer doesn't jump out at you from there, you could solve for r with the quadratic formula.

Step-by-step explanation:

I Hope It's Helpful :)

8 0
2 years ago
Read 2 more answers
​mars, inc. claims that​ 20% of its​ m&m plain candies are orange. a sample of 100 such candies is randomly selected. find t
elena-14-01-66 [18.8K]
The probability p of an orangecandy is 0.2. The sample size = 100.
The mean is given by:
n\times p=100\times0.2=20
The standard deviation is given by:
\sqrt{npq} = \sqrt{100\times0.2\times(1-0.2)} =4
The answers are: Mean = 20. Standard deviation = 4.

4 0
2 years ago
Read 2 more answers
A customer borrowed $2000 and then a further $1000 both repayable in 12 months. What should he have saved if he had taken out on
Neporo4naja [7]

Answer:

a. $60

Step-by-step explanation:  

We will use simple interest formula to solve our given problem.

A=P(1+rt), where

A= Amount after t years.

P= Principal amount.

r= Interest rate in decimal form.      

t= Time in years.

Let us find amount of loans repayable after 12 months for taking two amounts of $2000 and $1000.

As $2000 and $1000 are less than 2500, so the rate of loan will be 10%.

10\%=\frac{10}{100}=0.10

12 months = 1 year.

A=2000(1+0.10\times 1)

A=2000(1+0.10)

A=2000(1.10)

A=2200

Now let us find amount repayable after 12 months for borrowing $1000.

A=1000(1+0.10\times 1)

A=1000(1+0.10)

A=1000(1.10)

A=1100

Adding these amounts we will get total repayable amount after 12 months for borrowing $2000 and $1000 separately.

\text{Amount repayable for borrowing two separate amounts}=2200+1100=3300

Now let us find repayable amount after 12 months for taking 1 loan. As $3000 is between $2501 and $7500, so rate of loan will be 8%.

8\%=\frac{8}{100}=0.08

A=3000(1+0.08\times 1)

A=3000(1+0.08)

A=3000(1.08)

A=3240

Now let us find difference between both repayable loan amounts.

\text{Difference between both repayable loan amounts}=3300-3240

\text{Difference between both repayable loan amounts}=60

Therefore, the customer should have saved $60, if he had taken out one loan for $3000 and option a is the correct choice.

6 0
2 years ago
Read 2 more answers
A and B are n×n matrices. Check the true statements below: A. (detA)(detB)=detAB. B. The determinant of A is the product of the
Rudik [331]

Answer with Step-by-step explanation:

We are given that

A and B are matrix.

A.We know that for two square matrix A and B

Then, det(AB)=det(A)\cdot det(B)

Therefore, it is true.

B. det A  is  the product of diagonal entries in A.

It is not true for all matrix.It is true for upper triangular matrix.

Hence, it is false.

C.\lambda+5=0

\lambda=-5

When  is a factor of the characteristics polynomial of A then -5 is an eigenvalue of A not 5.

Hence, it is false.

D.An elementary row operation on A does not change the determinant.

It is true because when an elementary operation applied then the value of matrix A does not change.

8 0
2 years ago
Find the height of a door on a scale drawing if the door is 2 meters tall and the scale is 1 centimeter = 4 meters. Round to the
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Since 1cm represents 4 meters then .5cm would represent 2 meters.
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2 years ago
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