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
Ann [662]
4 years ago
7

True or False? If x>0 and a>1, then (ln x/ln a) = ln (x/a) Counter example if false.

Mathematics
1 answer:
valentinak56 [21]4 years ago
3 0
<span>It's False!
If a=e and x=1, you'll get: </span>ln(1)ln(e)=01=0 \neq -1=(−1)ln(e)=ln( e^{-1})=ln(\frac{1}{e}  )
You might be interested in
suppose your average, after taking 4 quizzes is 70 out of 100. what must your average be on the next 4 quizzes to increase your
exis [7]

Answer:

94

Step-by-step explanation:

Average = Total / Number of Data

70 \times 4 = 280

You have a total of 280 points after 4 quizzes.

4+4=8 quizzes in total

Total you need for average to be 82

82 \times 8 = 656

Number of points you need to hit required:

656 - 280 = 376

You need 376 points in total for the next 4 quizzes.

376  \div 4 = 94

You need an average of 94 points on the next 4 quizzes.

5 0
3 years ago
Use the augmented matrix to determine if the linear system is consistent. Is the linear system represented by the augmented matr
Crazy boy [7]

Answer:

The correct option is (A).

Step-by-step explanation:

If the reduced row echelon form of the coefficient matrix of a linear system of equations in four different variables has a pivot, i.e. 1, in each column, then the reduced row echelon form of the coefficient matrix is say A is an identity matrix, here I₄, since there are 4 variables.

\left[\begin{array}{cccc}1&0&0&0\\0&1&0&0\\0&0&1&0\\0&0&0&1\end{array}\right]

Then the corresponding augmented matrix [ A|B] , where the matrix is the representation of the linear system is AX = B, must be:

\left[\begin{array}{ccccc}1&0&0&0&a\\0&1&0&0&b\\0&0&1&0&c\\0&0&0&1&d\end{array}\right]

Now the given linear system is consistent as the right most column of the augmented matrix is a linear combination of the columns of A as the reduced row echelon form of A has a pivot in each column.

Thus, the correct option is (A).

8 0
3 years ago
There is a special offer at the book shop.
N76 [4]

price of 3Step-by-step explanation:

5 0
3 years ago
Which of these is equivalent to 3^2 ? Select all that apply
san4es73 [151]

Answer:

D, E &F

Step-by-step explanation:

Lets's go down the list and evaluate each choice

A. (3^8) / (3^4) = 3^ (8-4) = 3^4  (≠ 3^2)

B. 6²/2 = (2 x 3)²/2 = (2²·3²)/2 = 4·3²/2 = 2.3² (≠ 3^2)

C. (3^5) ·(3^3) = 3^ (5+3) = 3^8 (≠ 3^2)

D 3·3 = 3^2  (Answer)

E. (3^12) / (3^10) = 3^ (12 -10) = 3^2 (Answer)

F. (3^-3) / (3^-5) = 3^ [ -3 -(-5) ] = 3^ (-3 + 5) = 3^2 (Answer)

4 0
3 years ago
Kira John and Ryan sent a total of 112 text messages during the weekend. Kira sent 8 fewer messages than Ryan. John sent 4 times
Softa [21]

Answer:

Kirasent 16 and Ryan sent 96

Step-by-step explanation:

I got this because Kira is x-8 and Ryan is 4x. 4x-x-8=112 is equal to 5x=120. So x=24.Kira has 16 when plugging in x and Ryan has 96 because 4 times 24 is 96.

4 0
3 years ago
Other questions:
  • Pasta comes with tomato sauce and can be ordered with​ some, all, or none of these ingredients in the​ sauce: {onions,​ garlic,
    6·1 answer
  • The table shows the outputs y for different inputs x:
    11·1 answer
  • 7. If 40% of a given number is 8, then what is 15% of the
    12·2 answers
  • How many ways are there to arrange the 26 letters of the alphabet so that no pair of vowels appears consecutively?
    15·1 answer
  • Sarah used the repeated addition problem below to solve a problem.
    13·1 answer
  • Please help, am i right
    11·2 answers
  • Fran sold 6,859 books in one year and 8,541 books in the next year. How many books did she sell altogether?
    14·1 answer
  • Heres a question step by step explain
    9·2 answers
  • 22,064 ÷ 394 equals what?
    11·2 answers
  • Let Xi = (i =1,2,3) be independently and normally distributed random variable with mean of 4 as variance i. state the distributi
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!