Find the value of a given 5^a = ...the rest is in the document , I'll give brainliest

When f(n) = 34, what is the value of f(n-6)?

Mashutka [201]

Answer:

28

Step-by-step explanation:

f(n)=34, f(n-6)=34-6

=28

3 0

3 years ago

There are 3 consecutive odd integers that sum to 45. What is the least of the 3 integers?

Anna71 [15]

Step-by-step explanation:

Let n = a number and 2n = an even number, then ...

Let 2n + 1 = the first of three consecutive odd numbers.

Let 2n + 3 = the second of three consecutive numbers.

Let 2n + 5 = the third of three consecutive odd numbers.

Since it's given that the sum of our three consecutive odd numbers is 45, then we can write the following equation to be solved for the variable n:

(2n + 1) + (2n + 3) + (2n + 5) = 45

2n + 1 + 2n + 3 + 2n + 5 = 45

Collecting like-terms on the left, we get:

6n + 9 = 45

Now, subtracting 9 from both sides in order to begin isolating the unknown, n, on the left side:

6n + 9 - 9 = 45 - 9

6n + 0 = 36

6n = 36

Now, divide both sides by 6 in order to solve the equation for n:

(6n)/6 = 36/6

(6/6)n = 36/6

(1)n = 6

n = 6

Therefore, ...

2n + 1 = 2(6) + 1

= 12 + 1

= 13

2n + 3 = 2(6) + 3

5 0

3 years ago

The population of mexico has been increasing at an annual rate of 1.7%. If the population of mexico was 104900000 in the year 20

kenny6666 [7]

Answer: 137,375,958

Step-by-step explanation:

Exponential growth equation:

$y=A(1+r)^x$ , where A = initial population , x= time , r =rate of growth.

As per given: r = 1.7% = 0.017

Population of Mexico in 2003 : A= 104900000

In 2019 , x = 2019-2003 = 16

Population in Mexico : $y=104900000 (1+0.017)^{16}=104900000 (1.017)^{16}$

$=104900000 (1.30958968823)\approx137375958$

Population of Mexico in 2019 = 137,375,958

3 0

3 years ago

A certain electronics manufacturer found that the average cost C C to produce x DVD/Blu- ray players can be found using the equa

Kisachek [45]

Answer:

83,491.67 dollars

Step-by-step explanation:

Given that a certain electronics manufacturer ound that the average cost C C to produce x DVD/Blu- ray players can be found using the equation $C=0.03x^2-5x+700$

To find the minimum average cost per machine we can use derivative test.

we find first and second derivative.

If for a particular value of x first derivative is 0 and second derivative is positive, then that x satisfies the minimum cost criteria.

$C=0.03x^2-5x+700\\C'(x) = 0.06x-5\\C"(x) = 0.06>0$

Second derivative is always positive

I derivative =0 gives

$x=5/0.06 \\=83.33\\~83$

For 83 players the cost would be minimum

Minimum cost = $0.03(83)^2-5(83)+700\\=491.67$

3 0

3 years ago

During a week in January in Cleveland, Ohio, the daily high temperatures were -4 °F, -2 °F, -12 °F, 5 °F, 12 °F, 16 °F, and 20 °

KIM [24]

Answer:

$\Delta T = T_{max,w} - T_{min,w}$

$\Delta T = 20\,^{\circ}F - (-12\,^{\circ}F)$

$\Delta T = 32\,^{\circ}F$

Step-by-step explanation:

The expression needed is the highest temperature of the week subtracted by the lowest temperature of the week. That is to say:

$\Delta T = T_{max,w} - T_{min,w}$

$\Delta T = 20\,^{\circ}F - (-12\,^{\circ}F)$

$\Delta T = 32\,^{\circ}F$

6 0

4 years ago