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3 years ago

Please help due in an hour

Mathematics

1 answer:

sp2606 [1]3 years ago

6 0

Answer:

question 1 answer: #1, question 2 answer: #1, question 3,a answer: a=15, question 2,b answer: b = -0.5, question 2,c answer: c=0.01, I don't know what the last question's options are

Step-by-step explanation:

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Suppose that you drop a ball from a window 50 metres above the ground. The ball bounces to 50% of its previous height with each

stich3 [128]

We have been given that you drop a ball from a window 50 metres above the ground. The ball bounces to 50% of its previous height with each bounce. We are asked to find the total distance traveled by up and down from the time it was dropped from the window until the 25th bounce.

We will use sum of geometric sequence formula to solve our given problem.

$S_n=\frac{a\cdot(1-r^n)}{1-r}$ , where,

a = First term of sequence,

r = Common ratio,

n = Number of terms.

For our given problem $a=50$ , $r=50\%=\frac{50}{100}=0.5$ and $n=25$ .

$S_{25}=\frac{50\cdot(1-(0.5)^{25})}{1-0.5}$

$S_{25}=\frac{50\cdot(1-0.0000000298023224)}{0.5}$

$S_{25}=\frac{50\cdot(0.9999999701976776)}{0.5}$

$S_{25}=100\cdot(0.9999999701976776)$

$S_{25}=99.99999701976776\approx 100$

Therefore, the ball will travel 100 meters and option B is the correct choice.

4 0

3 years ago

One third of a number x is equal to 22 less the number. Write and solve an equation to find the number. What would be the whole

zheka24 [161]

1/3(x)=22-x
x/3=22-x
(x/3=22-x)3
3x=66-3x
6x=66
x=11

3 0

3 years ago

Please help me im in need of serious help or ill flunk :(

Aleksandr-060686 [28]

Answer:

1. Interest: 15%

Amount owed: $500

2. Interest: 6%

Amount owed: $1,500

3. Interest: 18%

Amount owed: $12,500

4. Interest: 6%

amount owed: $5,000

Step-by-step explanation:

3 0

3 years ago

HELP ASAP WILL GIVE BRAINLIEST!!!

Savatey [412]

Answer:

CK-12 Foundation is a non-profit organization with a mission to

reduce the cost of textbook materials for the K-12 market both in

the U.S. and worldwide. Using an open-source, collaborative, and

web-based compilation model, CK-12 pioneers and promotes the

creation and distribution of high-quality, adaptive online textbooks

that can be mixed, modified and printed (i.e., the FlexBook®

textbooks).

The names “CK-12” and “CK12” and associated logos and the

terms “FlexBook®” and “FlexBook Platform®” (collectively

“CK-12 Marks”) are trademarks and service marks of CK-12

Foundation and are protected by federal, state, and international

laws.

Any form of reproduction of this book in any format or medium,

in whole or in sections must include the referral attribution

Step-by-step explanation:

3 0

3 years ago

The digits 4 comma 5 comma 6 comma 7 comma and 8 are randomly arranged to form a three-digit number. (Digits are not repeate

fenix001 [56]

Answer:

0.1 or 1/10

Step-by-step explanation:

The digits 4, 5, 6, 7 and 8 are randomly arranged to form a three digit number, where the digits are not repeated.

This is question of permutation.

Imagine this sum as; there are 3 boxes(blank spaces for digits) and 5 different fruits(digits) are to be put in these boxes, where a box can hold a maximum of only 1 fruit. The number of such permutations are: ⁵P₃

By formula (a! is factorial a):

ᵃPₙ $= \frac{a!}{(a-n)!}$

⁵P₃ $= \frac{5!}{(5-3)!}$

⁵P₃ $= \frac{5!}{2!}$

⁵P₃ $= \frac{5*4*3*2*1}{2*1}$

⁵P₃= 60

This is the total count of possible numbers that can be formed.

Now, for a number to be greater than 800 and even; first digit should necessarily be 8. Last digit can be 4 or 6. Using these conditions, there are 6 possibilities. 854, 864, 874, 846, 856, 876 are the numbers.

The probability that number is even and greater than 800 is:

$P=\frac{ favorable outcomes}{equally likely possible outcomes}$

$P=\frac{6}{60}$

$P=\frac{1}{10}$

3 0

3 years ago