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aev [14]
3 years ago
7

If 5^-x = 25, what is the value of 5^0.5x?

Mathematics
1 answer:
scoundrel [369]3 years ago
3 0

Answer:

1/5

Step-by-step explanation:

5^{-x} = 25 so  x = -2 because 5^{2} = 25

if x = -2 then plug in: 5^1/2(-2)  =  5^-1  = 1/5

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Dan invests £1300 into his bank account.
alexandr402 [8]

Given parameters:

Principal  = £1300

Interest rate  = 5%

Duration  = 2yrs

Unknown:

Total amount of Dan's principal = ?

To solve this problem, we apply the equation below:

  Total investment worth  = Principal + interest

   Interest  = \frac{PRT}{100}

where P is the principal

          R is the rate

          T is the time

Now, input the parameters;

     Total investment worth  = £1300 + £ \frac{1300 x 5 x 2}{100}

                                             = £1300 + £130

                                             = £1430

The amount after two years is £1430

7 0
3 years ago
elise bought a video game for $65.00. if the store charged 150% of what it paid for the game, how much is the store’s profit?
OLEGan [10]

Answer:

$21.67 profit

Step-by-step explanation:

65/1.5 = 43.33 bought for

65.00-43.33 = 21.67 profit

7 0
3 years ago
Read 2 more answers
Please see attached image and help with these absolute value problems - thank you
Novay_Z [31]

Answer:

{-infinity, infinity}

no solution

Step-by-step explanation:

|x| +15≥4

Subtract 15 from each side

|x| +15-15≥4-15

|x| ≥-11

This is always true so x can be and real number

{-infinity, infinity}

-2|5x+3| = 8

Divide by -2

-2/-2|5x+3| = 8/-2

|5x+3| = -4

This can never happen because absolute values are zero or greater

no solution

6 0
3 years ago
Robert is building model cars as well as model trains. The cars take 4 hours to build while the trains take 6 hours
Darina [25.2K]

10 cars and 10 trains in 100 hours

it approximately take him 10 hours to build one car and one train how 6+4=10 how many times can 10 go into 100 10 times hope this helps a little

4 0
3 years ago
In the diagram below, RA is parallel to ET, and RT is 21 units long. Find the length of ST
pav-90 [236]

Answer:

ST = 12 units

Step-by-step explanation:

As RA is parallel to ET, the angle in R is equal to the angle in T, and the angle in A is equal to the angle in E, so the triangle RAS is similar to the triangle SET.

If RT is 21 units, we have that RS + ST = 21 -> RS = 21 - ST

Using a rule of three with the sides of the triangle (as they are proportional), we have:

RS / ST = AR / ET

(21 - ST) / ST = 6 / 8

4 * (21 - ST) = 3*ST

84 - 4*ST = 3*ST

7*ST = 84

ST = 12 units

5 0
3 years ago
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