MATHEMATICS COLLEGE

Solve the equation
log4x=2

Answers

Answer 1
Answer: Change it to exponential form:

log₄(x) = 2   ⇒   4² = x = 16

Final answer: 16

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Determine how many terms should be used to estimate the sum of the entire series with an error of less than 0.001.

Answers

Answer: 9

Step-by-step explanation:

Tₙ ₊ ₁  < 0.001

1 / ( (n+1) 3 +1 ) < 0.001

(n+1)3 + 1 > 1000

(n+1)3 > 999

n+1 > 9.9966

n = 8.9966 => n = 9

I should take n = 9 to be sure that the error is less than 0.001.

A traveling circus with thrill rides Charge 7$ For admission $1.50 For each ride you take. If you pay $29.50 total, how many rides did you take?

Answers

Answer:

15 rides

Step-by-step explanation:

Subtract $7 from $29.50

and then divide what you got ($22.50) from $1.50

I AM IN A TEST AND I NEED THE ANSWER SOON!!! PLEASEE!!!

THANK YOU SO MUCH!!

Answers

Hello,

If Viviana has 2/5 of pasta to share with four friends, you should divide. First change 2/5 to a decimal, 0.4. Now divide 0.4 and 4.

Workspace:


2/5 = 0.4

4 / 0.4 -> 10

Workspace End

Correct Answer:

10

Hope this helps!!
Brainliest??

Heather won 62 pieces of candy after bobbing apples at a Halloween party. She gave 4 pieces of candy to every student in her math class. She has six pieces of candy left. How many students are in Heather’s math class?

Answers

Answer:

14

Step-by-step explanation:

62-6=56

56 divided by 4 = 14

Therefore, the answer is 14.

Assume you drop a rock from a cliff which is 5000 feet above the ground. The distance in feet, y, of the rock below the cliff at the time t seconds after it was dropped is given by the equationY=-1/2gt^2

Answers

Answer:

Step-by-step explanation:

Given that height of cliff H = 5000 ft

You drop rock from cliff and the distance of rock below the cliff at time,t is given by:

y= -(1)/(2) gt^(2)

Q1. How far below the cliff is the rock 7 seconds after it dropped ?

Ans. Here, t=7 seconds

By using formula provide, g=32.18 ft{tex]s^(-2)

y=- \frac{1}{2} × 32.17 × (7)^{2}[/tex] = 788.165 ‬ft

Note: Negative sign shows the direction and 240.345 is magnitude

Therefore, Rock is 788.165‬ ft from Cliff

Q2. How far is the rock from the bottom 7 seconds after it dropped ?

By using formula provide,

Ans. After 7 seconds, Rock is 788.165‬ ft from Cliff

Therefore, Rock is 5000-788.165‬ = 4,211.835 ft from bottom

Q3. When will rock hit the bottom?

Ans. Height of cliff H= 5000 ft

Using formula provided, g=32.18 fts^(-2)

y = -(1)/(2) gt^(2)

-5000 = - (1)/(2) 32.18 × t^(2)

t^(2) = (5000×2)/(32.18)

t^(2) = 311.13876

t = 17.6s

Q4. The Velocity of the rock at impact?

Ans. Velocity is given as V= g×t

By using formula, We get

V= 32.14 × Total time to reach ground

V= 32.14 × 17.6 = 565.66 ft/s

Hey can you please help me posted picture of question

Answers

The correct answer is option D.

The function has a repeated root. We can find this by factorization.

x² - 2x + 1
= x² - x - x + 1
= x (x - 1) - 1(x - 1)
= (x -1)(x - 1)

This can also be checked by finding the discriminant. The discriminant is zero which shows the function has a repeated root.
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