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
aksik [14]
3 years ago
14

What is the value of A when we rewrite... (PLZ HELP QUICK)

Mathematics
1 answer:
Marina86 [1]3 years ago
7 0

Answer:

<h2>\frac{133}{8}</h2>

Step-by-step explanation:

Given,

{( \frac{5}{2} )}^{x}  +  {( \frac{5}{2} )}^{x + 3}

=  {( \frac{5}{2}) }^{x}  +  {( \frac{5}{2}) }^{x}  \times  {( \frac{5}{2} )}^{3}

= ( \frac{5}{2} ) ^{x} (1 +  {( \frac{5}{2} )}^{3}

=  {( \frac{5}{2} )}^{x} (1 +  \frac{125}{8} )

=  {( \frac{5}{2} )}^{x} ( \frac{1 \times 8 + 125}{8} )

=  {( \frac{5}{2}) }^{x} ( \frac{8 + 125}{8} )

{( \frac{5}{2} )}^{x} ( \frac{133}{8} )

Comparing with A • {( \frac{5}{2}) }^{x}

A = \frac{133}{8}

Hope this helps...

Good luck on your assignment...

You might be interested in
The nutty professor sells cashews for 7.20 per pound snd brazil nuts flr 4.00 per pound. How much of each type should be used to
lutik1710 [3]

Answer:

<u>19.01 pound</u> of cashews and <u>16.99 pounds</u> of brazil nuts should be used to make a 36 pound mixture that sells for 5.69 per pound.

Step-by-step explanation:

Given:

The nutty professor sells cashews for 7.20 per pound and brazil nuts for 4.00 per pound.

Now, to find each type should be used to make a 36 pound mixture that sells for 5.69 per pound.

Let the quantity of cashews be x.

Let the quantity of brazil nuts be y.

So, total pound of mixture of nuts:

x+y=36\\y=36-x\ \ \ .....(1)

Now, the total price of mixture per pound:

7.20(x)+4.00(y)=5.69(36)

7.2x+4y=204.84

Substituting the value of y from equation (1) we get:

7.2x+4(36-x)=204.84

7.2x+144-4x=204.84

3.2x+144=204.84

Subtracting both sides by 144 we get:

3.2x=60.84

Dividing both sides by 3.2 we get:

x=19.01.

The quantity of cashews = 19.01 pound.

Now, substituting the value of x in equation (1) we get:

y=36-x\\y=36-19.01\\y=16.99.

The quantity of brazil nuts = 16.99 pounds.

Therefore, 19.01 pound of cashews and 16.99 pounds of brazil nuts should be used to make a 36 pound mixture that sells for 5.69 per pound.

7 0
3 years ago
To estimate μ, the mean salary of full professors at American colleges and universities, you obtain the salaries of a random sam
statuscvo [17]

Answer with explanation:

Sample mean of 81 full Professor = $ 77,220

Sample Standard Deviation (S)= $ 4500

Sample mean= $77,220

Z_{98 \text{Percent}=\frac{98}{100}}\\\\Z_{98 \text{Percent}=0.8365}\\\\Z_{\text Score=\frac{\bar x -\mu}{\sigma}}\\\\0.84=\frac{77220- \mu}{4500}\\\\\mu=77220-3780\\\\ \mu=73440

So, When , z=98% , then Mean Salary ( μ)=73,440

3 0
3 years ago
Consider the relation y = 4|x − 5| + 3. Which of the following best describes the minimum or maximum of this relation?
alisha [4.7K]
A) Minimum at (5,3) because the 4 (a) and the b (in front of the x is 1) are positive, the relation will be positive. When looking at the h (-5) you must always consider it as if it was the opposite sign. So here it's negative so in reality it's positive.

7 0
3 years ago
Paraplatin 360mg/m2 in 150ml normal saline via ice pump. Drug run over 30 minutes. At what rate should the nurse at IV pump
olasank [31]
<span>Drag concentration( 360mg) per body surface (m2) is irrelevant to the infusion rate, which is volume divided by time, i.e. 150/(30/60) = 300ml/h</span>
7 0
3 years ago
There are 13 teams of cheerleaders at a competition. The order of performance is determined at random. What is the probability t
PIT_PIT [208]

probability of you performing first is 1/13

after your team performs there are 12 teams left, so chance of the other team performing next is 1/12


chance of both happening = 1/13 * 1/12 = 1/156

3 0
3 years ago
Other questions:
  • I don't know please help
    6·1 answer
  • Calculus 2: Sum from n=1 to infinity of (n^4 + ((-1)^n)*n^2) / ((-n)^5 + 3(n^3))
    10·1 answer
  • Richard and Gloria ran a 10-kilometer race. Gloria gave Richard a head start by letting him begin 2.2 kilometers in front of the
    14·2 answers
  • In 103.4, the digit 0 is in the tens place. Its value is?
    12·1 answer
  • maggie bought c cds for $12 each, b books for $7 each, and a purse costing $24 write an expression to show the total amount magg
    6·1 answer
  • 9/10
    11·1 answer
  • Julie says that she can perform a magic trick with numbers. She asks you to pick a whole number, any whole number. Square that n
    9·1 answer
  • What perfect squares does the square root of 10 lie between
    9·1 answer
  • If melissa buys 1/2 of a pound of boysenberries, how much will she spend?
    13·2 answers
  • If you roll a number cube, what is the probability that you will roll an even number?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!