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
DedPeter [7]
2 years ago
12

Use the equation, 16^2x=32^(x+3), to complete the following problems.

Mathematics
1 answer:
olga55 [171]2 years ago
8 0

Answer:

x = 5

Step-by-step explanation:

2⁴(2x) = 2⁵(x + 3)

2^8× = 2^5x + 15

cancel out the 2

8x = 5x + 15

8x - 5x = 15

3x = 15

divide through by 3

x = 5

You might be interested in
What is the radius of a circle with an area of 78.5 cubic inches? Use 3.14 for pi. Enter your answer in the box.
UkoKoshka [18]

\bf \textit{area of a circle}\\\\ A=\pi r^2~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ A=78.5 \end{cases}\implies 78.5=\pi r^2\implies \cfrac{78.5}{\pi }=r^2 \\\\\\ \sqrt{\cfrac{78.5}{\pi }}=r\implies 4.9987\approx r

5 0
3 years ago
Read 2 more answers
5y + 4 = 4y +5<br> Halp plz
shepuryov [24]

Answer:

y=1

Step-by-step explanation:

5y + 4 = 4y + 5 4y + y + 4 = 4y + 4 + 1 4y + 4 + y = 4y + 4 + 1 Kill the similar parts from both sides y = 1

8 0
3 years ago
Read 2 more answers
What is the area of a square picture with 16 inch sides
Arte-miy333 [17]
Hello!

To find the area, you take one side, (16) and multiply it by that number..

So, 16 * 16 = 256.

The area of a square with 16in sides is 256.

Hope this helps! ☺♥
4 0
3 years ago
Read 2 more answers
Antonio has 15 pennies in his pocket 5/8 of his quoins our pennies how many coins does Antonio having his pocket
WITCHER [35]
5 divided by 8 = .625
15 divided by .625 = 24
Answer is 24
To check
24 times .625 = 15
4 0
3 years ago
There is a ___ correlation between the number of doughnuts Homer eats and his weight. If Homer wants to lose weight, he should e
iren [92.7K]

Answer:

There is a linear correlation between the number of doughnuts Homer eats and his weight. If Homer wants to lose weight, he should eat less doughnuts. If Homer graphed this relationship on a scatterplot, an increase on the y axis would lead to an increase on the x axis.

Step-by-step explanation:

Given that doughnuts have a high content of fat and sugar, they are well proved to be fattening foods. Indeed, one would expect that the more doughnuts are consumed per time unit, the more body weight will increase.

Mathematically, both variables (amount of doughnuts consumed and body weight) will behave the same way: an increase in one of them will led to an increase in the other one. The independent variable is the amount of doughnuts consumed by Homer (per unit time), as this is independent on anything else for this given problem, while the body weight is the dependent variable for its will respond to the increase in the amount of doughnuts consumed.

Graphically, the independent variable is plotted on the "<em>y</em>" axis, while the dependent variables is placed on the "<em>x</em>" axis.

Thus, when the relation between both variables is plotted, a straight-line relationships is expected. This is called a linear correlation, and it is interpreted as mentioned above: when the independent variable increases, the dependent variable increases as well, while a decrease in the independent variable leads to a decrease in the dependent one.

4 0
2 years ago
Other questions:
  • Use ratio language to describe the relationship between 5 girls: 8 boys
    12·1 answer
  • Which of the following shows the solution of 7x – 5 &gt; 16?
    15·1 answer
  • What is the value of x in the question 5/8=x/52
    11·1 answer
  • A wheel has ten chairs and people are seated two per chair. Every minute a chair passes the exit platform. The wheel opens at 11
    15·1 answer
  • HELP ASAP!! DUE TOMORROW!!!!!! NUMBER #6!!
    14·1 answer
  • X^2-4x+3 factorize into its factors and give me answer I will giv u anda burger
    7·2 answers
  • Solve the equation. x6−7=5 The first step is to___ on both sides of the equation. The second step is to___ on both sides of the
    9·1 answer
  • The ratio of a human's femur (thigh bone)
    5·1 answer
  • The tape diagram below represents 100% percent.
    14·1 answer
  • Using algebra, find the point at which the line k(x) = 5x - 1 intersects with the line h(x) = -3x - 1 ?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!