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
frozen [14]
3 years ago
9

In details Don't spam

Mathematics
2 answers:
Scrat [10]3 years ago
7 0

Answer:

a = -4.

Step-by-step explanation:

25(√5)^a * (√5) ^3  = 5√5

25*5^a/2 * 5^3/2 = 5*5^1/2

25*5^a/2  = 5*5^1/2 / 5^3/2

25*5^a/2  = 5^1 *5^1/2 / 5^3/2

25*5^a/2 = 5^3/2 / 5^3/2 = 1

5^a/2 =  1/25 = 5^-2

The bases are equal, so

a/2 = -2

a = -4.

uranmaximum [27]3 years ago
4 0

Answer:

- 4

Step-by-step explanation:

25 \times  { \sqrt{5} }^{a}  \times  { \sqrt{5} }^{3}  = 5 \sqrt{5}

{5}^{2}  \times  { \sqrt{5} }^{a}  \times  {5}^{3}  = 5 \sqrt{5}

But

5 =  { \sqrt{5} }^{2}

So,

{ \sqrt{5} }^{4}  \times  { \sqrt{5} }^{a}  \times  { \sqrt{5} }^{3}  =  { \sqrt{5} }^{3}

Eliminating |5,

4 + a + 3 = 3

a =  - 4

You might be interested in
Martin charges $10 for every 5 bags of leaves he rakes. Last weekend, he raked 2 bags of leaves. How much money did he earn?
Gnoma [55]
He earned 4 dollars. 
5 0
3 years ago
Read 2 more answers
There is an equal number of men, women and children at a party. How many persons could be at the party?
astra-53 [7]

Answer:

3, 6, 9, 12, and so on, basically any number that can be divided by 3

3 0
2 years ago
Read 2 more answers
If three 2-liter sodas cost $14, then how much do five 2-liter sodas cost?
Roman55 [17]

Answer:

23.3

Step-by-step explanation:

6 0
3 years ago
Fgh is first translated using the rule x,y >x+3,y-1this is followed by a 90 degrees counter clockwise rotation centered at th
maw [93]

Answer:

Rule:

h = (1 - y,x + 3)

Step-by-step explanation:

<em>I will answer generally, since the coordinates of f, g and h are not given</em>

Given

Point: x, y

Translation Rule

1 : x + 3, y - 1

2: 90 degree counterclockwise

Required

Determine the new coordinates

<u>At the first translation of (x,y) by x + 3, y - 1</u>

The new point is: (x + 3, y - 1)

<u>At the second translation (90 degrees counterclockwise)</u>

When a point (x,y) is translated using this rule, it becomes (-y,x)

So, the new point is:

h = (-(y - 1),x + 3)

h = (1 - y,x + 3)

If the initial point of h is (2,3),

The new point is:

h = (1 - 3, 2 + 3)

h = (- 2, 5)

5 0
2 years ago
Find the new price after the markdown given. Round to the nearest cent if necessary. $5,250 marked down 15%
PIT_PIT [208]

Marked down 15% means the new price would be 85% of the original price ( 100%-15% - 85%)

Multiply the original price by 85%:

5250 x 0.85 = 4462.50

The new price is $4,462.50

4 0
3 years ago
Other questions:
  • calculate the amount in an account that earns 4.25% apr, compound monthly, for 5 years if you invest $10,000
    9·1 answer
  • Combine like terms<br> 5y-8-y
    10·2 answers
  • it is 1:00 hunter is waiting for ben. ben said he would meet hunter in 25 minutes but he arrived 5 minutes late. what time does
    6·2 answers
  • The sum of 2 numbers is 10 the difference is 6 what are the numbers calculator
    13·1 answer
  • Briana has just finished her sixth grade scrapbook.in her scrapbook,47% of the pages include her twin sister,Bethany.The scrapbo
    14·2 answers
  • Am I correct or wrong?
    14·1 answer
  • Use the bar diagram to model the situation. Then write and solve an equation.
    9·1 answer
  • DONE BY 3:40 What is the greatest common factor of 60, 84 and 72?
    5·1 answer
  • Graph the line with the slope 1 passing through the point (-2,-1)​
    6·1 answer
  • Find the distance between each pair of points (-6,-5) and (2,0)
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!