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tresset_1 [31]
3 years ago
7

What is the product of (5^-4)(5^-3)

Mathematics
2 answers:
Nataliya [291]3 years ago
4 0

Answer:

option one is the correct answer

ss7ja [257]3 years ago
3 0

Answer:

1/625

Step-by-step explanation:

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Consider the function f(x)=49.5(0.82)x select the correct word or phrase to complete each statement
Alex_Xolod [135]

Answer: exponential decay and 18%

Step-by-step explanation: Since what is in the parentheses is less than 1, it is exponential decay

3 0
3 years ago
Read 2 more answers
Find the line through (3, 1, −2) that intersects and is perpendicular to the line x = −1 + t, y = −2 + t, z = −1 + t. (HINT: If
mel-nik [20]

Answer:

( xo , yo , zo ) = ( 1 , 0 , 1 )

Step-by-step explanation:

Given:-

- A line passing through point (3, 1, −2) intersects and is perpendicular to line with coordinates:

                  x = −1 + t, y = −2 + t, z = −1 + t   .... t = arbitrary parameter.

Find:-

The coordinates for point of intersection.

Solution:-

- The line that passes through point (3, 1, −2) = ( a, b , c ) and an a arbitrary point on the given line have the following direction vector d2 :

                 d2 = ( x2 , y2 , z2 )

                 x2 = a - ( x ) = 3 - ( -1 + t ) = 4 - t

                 y2 = b - ( y ) = 1 - ( -2 + t ) = 3 - t

                 z2 = c - ( z )  = -2 - ( -1 + t ) = -1 - t

                d2 = (  4 - t , 3 - t , -1 - t )

- The direction vector d1 of the given line is:

                 d1 = ( x1 , y1 , z1 )

                 x1 = 1

                 y1 = 1

                 z1 = 1

                 d1 = ( 1 , 1 , 1 )

- The dot product of two orthogonal vectors is always equal to zero:

                 d1.d2 = 0

                 (  4 - t , 3 - t , -1 - t ) . ( 1 , 1 , 1 ) = 0

- Solve for parameter (t):

                 (4 - t) + (3 - t) + (-1 - t) = 0

                  6 -3t = 0

                  t = 2  

- The coordinates of the point of intersections can be evaluated by substituting the value of "t" into the given equation of line:

                 xo ( t = 2) = - 1 + 2 = 1

                 yo ( t = 2) = - 2 + 2 = 0

                 zo ( t = 2) = - 1 + 2 = 1

- The coordinates are:

                 ( xo , yo , zo ) = ( 1 , 0 , 1 )

8 0
3 years ago
Simplify the expression: <br> r -3 -r
Ymorist [56]

Answer:

-3

Step-by-step explanation:

Combine the opposite terms in  r  −  3  −  r .

8 0
3 years ago
The sum of the digits of a two digit number is 7. If 9 is subtracted from the number, the answer will be the number with the dig
cupoosta [38]
Just work through step by step
Follow each point until you reach one answer
Digits = 7
-9 = reverse

16 - 9 = 7        x
25 - 9 = 16      x
34 - 9 = 25      x
43 - 9 = 34      Y
52 - 9 = 43      x
61 - 9 = 52      x

4 + 3 = 7
43 - 9 = 34 - the digits have been reversed

43
5 0
3 years ago
Read 2 more answers
Write an equation for the nth term of the geometric sequence. Then find the 7th term. 2,-6,18,-54,...
Sonja [21]

soln,

from the series,

a = 2

t2 = -6

r = t2/a

=   \frac{ - 6}{2}

= -3

therefore, tn =

{ar}^{n - 1}

=  {2 \times  - 3}^{n - 1}

now,

seventh term =

{2 \times  - 3}^{7 - 1}

=  {2 \times  - 3}^{6}

= 2 \times 729

= 1458

5 0
3 years ago
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