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
alekssr [168]
3 years ago
10

Evaluate each expression

Mathematics
1 answer:
qwelly [4]3 years ago
3 0

Step-by-step explanation:

  • a = 2
  • b = 3
  • c = 5

\longrightarrow \rm{{\Bigg ( \dfrac{a}{b} \Bigg )}^c} \\  \\  \longrightarrow \rm{{\Bigg ( \dfrac{2}{3} \Bigg )}^5}  \\  \\   \qquad \qquad \bigstar \: \boxed{ \bf{  \Bigg ({\frac{x}{y} \Bigg )}^{m}  =  \frac{ {x}^{m} }{ {y}^{m}}   }} \\  \\  \longrightarrow \rm{ \frac{ {(2)}^{5} }{ {(3)}^{5} } } \\  \\ \longrightarrow  \bf{ \frac{ 32 }{ 243} }

Therefore, 32/243 is the answer.

You might be interested in
Help please explain in detail
yaroslaw [1]

Answer:

1. (n + 3)(5n + 8)

2. (x - 4)(7x - 4)

3. (k + 8)(7k + 1)

Step-by-step explanation:

1. We have to factorize 5n² + 23n + 24.

Now, 5n² + 23n + 24

= 5n² + 15n + 8n + 24

= 5n (n + 3) + 8 (n + 3)

=(n + 3)(5n + 8) (Answer)

2. We have to factorize 7x² - 32x + 16

Now,  7x² - 32x + 16

= 7x² - 28x - 4x + 16

= 7x (x - 4) - 4 (x - 4)

= (x - 4)(7x - 4) (Answer)

3. We have to factorize 7k² + 57k + 8

Now, 7k² + 57k + 8

= 7k² + 56k + k + 8

= 7k (k + 8) + 1 (k + 8)

= (k + 8)(7k + 1) (Answer)

4 0
3 years ago
A table of data is given.
Alecsey [184]

The exponential model best represents the data is B. f(x) = 5(0.2)^x

<h3>How to determine the exponential model?</h3>

From the table of values, we have the following points:

(x, y) = (0,5) and (1,1)

An exponential model is represented as:

y = ab^x

Substitute (x, y) = (0,5)

5 = ab^0

5 = a

This gives

a = 5

So, we have:

y = 5b^x

Substitute (x, y) = (1,1)

1 = 5b^1

This gives

5b = 1

Divide by 5

b = 0.2

Substitute b = 0.2 in y = 5b^x

y = 5(0.2)^x

Hence, the exponential model best represents the data is B. f(x) = 5(0.2)^x

Read more about exponential model at:

brainly.com/question/2456547

#SPJ1

8 0
2 years ago
For the sequence given by a_n=2n+4 , answer the following:
artcher [175]

a. 6, 8, 10, 12, 14


Work:

a_1 = 2(1) + 4

a_1 = 6

a_2 = 2(2) + 4

a_2 = 8

a_3 = 2(3) + 4

a_3 = 10

a_4 = 2(4) + 4

a_4 = 12

a_5 = 2(5) + 4

a_5 = 14


b. 500


Work:

Since the common difference is 2, we can add 2 to each number until we reach the 20th term.

6 + 8 + 10 + 12 + 14 + 16 + 18 + 20 + 22 + 24 + 26 + 28 + 30 + 32 + 34 + 36 + 38 + 40 + 42 + 44 = 500

7 0
4 years ago
Read 2 more answers
Please help me ASAP<br> ( I will mark brainliest )
IRISSAK [1]

Answer:

13.01d − 2.65

The liked terms are "3.26d + 9.75d". Just add them accordingly.

4 0
2 years ago
Anthony delivers 12 milk boxes 4<br> times a week. How many milk boxes did<br> he deliver in a week?
Ad libitum [116K]

Answer: Anothony delivers 48 milk boxes a week.

Step-by-step explanation:

12 x 4 = 48

4 0
2 years ago
Read 2 more answers
Other questions:
  • You have $6000 to invest in stock funds. The first fund pays 5% annual interest. If after a year you have made $380 in interest,
    7·1 answer
  • Fifty students in the third-grade class listed their hair and eye colors in the table below: Brown hair Blonde hair Total Blue e
    7·1 answer
  • Write a problem that can be solved using a flowchart and working backward. Then draw the flowchart and solve the problem.
    10·1 answer
  • What is the equation for the statement, 22 more than z is 71?
    13·2 answers
  • Hannah wants to encircle a tree trunk with a flower bed. If the center of the tree trunk is the origin and Hannah wants the flow
    5·1 answer
  • Graphing linear equation x=-4​
    11·2 answers
  • The table below represents an exponential function of the form y = ab^x
    15·1 answer
  • What is the slope of the graph?
    11·2 answers
  • Could you please help with this equation:
    7·2 answers
  • If she chooses the 8-inch tiles, she will need a quarter as many tiles as she would with 2-inch tiles.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!