1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Romashka-Z-Leto [24]
2 years ago
10

Hii! I need some help, would anyone mind helping me?

Mathematics
1 answer:
Kisachek [45]2 years ago
8 0

Step-by-step explanation:

{x}^{2}  - 14x  - 25 {y}^{2}  + 100y = 76

Factor by grouping,

( {x}^{2}  - 14x)   - (25 {y}^{2}  - 100y) = 76

Complete the square, with the x variables,

( {x}^{2}  - 14x + 49)  - (25 {y}^{2}  - 100y) = 125

Factor out 25 for the y variables

( {x}^{2}  - 14x + 49) - 25( {y}^{2}  - 4y) = 125

Complete the square

( {x}^{2}  - 14x + 49) - 25( {y}^{2}  - 4y + 4) = 25

Simplify the perfect square trinomial

(x - 7) {}^{2}  - 25(y - 2) {}^{2}  = 25

Make the right side be 1 so divide everything by 25.

\frac{(x - 7) {}^{2} }{25}  -  (y - 2) {}^{2}  = 1

Here our center is (7,2).

You might be interested in
Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is current
exis [7]

Answer:

n = 1, this means the interest compounds ANNUALLY.

Step-by-step explanation:

Carlos deposited $7,924 into a savings account 30 years ago. The account has an interest rate of 4.6% and the balance is currently $30,541.83. How often does the interest compound?

Compound Interest Formula

: A = P(1 + r/n)^nt

A = Amount after time t

P = Principal (Initial Amount Invested)

r = Interest rate

n = Number of times the interest is compounded

t = time in years

A = $30,541.83

r = 4.6% = 0.046

t = 30

P = $7,924

Hence,

$30,541.83 = $7924(1 + 0.046/n)^30n

Divide both sides by 7924

$30,541.93/$7924 = (1 + 0.046/n)^30n

$30,541.93/$7924 = (n + 0.046/n)^30n

3.8543576477 = (n + 0.046/n)^30n

We take the logarithm of both sides

log 3.8543576477 = log (n + 0.046/n)^30n

Solving for n,

n = 1

Therefore, from the calculation above, since n = 1, this means the interest compounds ANNUALLY.

6 0
2 years ago
Suppose the average tread-life of a certain brand of tire is 42,000 miles and that this mileage follows the exponential probabil
Ahat [919]

Answer: The probability that a randomly selected tire will have a tread-life of less than 65,000 miles is 0.7872 .

Step-by-step explanation:

The cumulative distribution function for exponential distribution is :-

P(X\leq x)=1-e^{\frac{-x}{\lambda}}, where \lambda is the mean of the distribution.

As per given , we have

Average tread-life of a certain brand of tire :  \lambda=\text{42,000 miles }

Now , the probability that a randomly selected tire will have a tread-life of less than 65,000 miles will be :

P(X\leq 65000)=1-e^{\frac{-65000}{42000}}\\\\=1-e^{-1.54761}\\\\=1-0.212755853158\\\\=0.787244146842\approx0.7872

Hence , the probability that a randomly selected tire will have a tread-life of less than 65,000 miles is 0.7872 .

8 0
3 years ago
It cost $36.75 for three tickets to visit the science center. It cost $51 for 4 tickets to visit the zoo. Which attraction will
Ber [7]
Find the cost for one ticket for the science center.
36.75 ÷ 3 = 12.25
Multiply the product with 12 to get the cost of 12 tickets.
12.25 × 12 = 147
Find the cost of 1 zoo ticket.
51 ÷ 4 = 12.75
Find the cost of 12 tickets by multiplying the product and 12
12.75 × 12 = $153
12 Science Center Tickets cost $147
12 zoo tickets cost $153

The Zoo costs more than the Science Center.

To find out how much more the Zoo costed, subtract 147 from 153.
153 - 147 = 6
The zoo only costs $6 more for 12 students.
So, you're answers are Zoo and $6
8 0
2 years ago
if I have a binomial distribution where n equals 8 trials and a probability of success equals 0.40 what is the successes of X is
dlinn [17]
P(success) = 0.4   P(failure) = 0.6

8C2 (0.4)² * (0.6)^6

P(2 success) =0.290
5 0
3 years ago
Which of these story problem describes the sum 19 + (-12)? Check all that apply. Show your work to justify your answer.
MatroZZZ [7]
-19 + (-12) = 7

Remove Parentheses  
( -a ) = -a 

= 19 - 12
Subtract The Numbers 
19-12 = 7
8 0
3 years ago
Other questions:
  • Express the area of the square as a monomial 9c^6d
    9·1 answer
  • Help me with Alims sales tax problem
    5·1 answer
  • Write the normal form of the equation: 9x-2y+4=0
    12·1 answer
  • Please leave all types of probability examples. I have a test soon and I need help!
    8·1 answer
  • ANSWER = MY ETERNAL LOVE determine an equation of the line which is the perpendicular bisector of the segment whose endpoints ar
    12·1 answer
  • PLEASE ASAP ILL GIVE BRAINLIEST.
    10·1 answer
  • A word’s connotation is the definition one can find in a dictionary. the way a word needs to be pronounced. the origin and histo
    15·2 answers
  • Describe whether each event us impossible, unlikely, equal, likely, or certain. then, tell whether the probability is 0, close t
    14·1 answer
  • Question 3 "Try Again." Mary needs 3 feet of boondoggle for a craft project.
    12·1 answer
  • Please help me aspa <br><br><br><br><br><br>​
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!