Make tables to find the solution to 2^−x = 4^x + 3. Take the integer values of x only between −3 and 3.

Answers

Answer 1
Answer: x    2^(-x)    4^(x+3)

-3    8          1

-2    4          4

-1    0        16

0      1        64

1      0.5      256

2      0.25    1024

3      0.125  4096

The solution is x = -2 because both functions return the same value, i.e. 4.

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What is the LCM of 3 and 7? 3 7 14 21

Divide 7/15 by 3/5

A. 7/9
B. 75/21
C. 21/75
D. 7/25

Answers

7/15 ÷ 3/5 =
= 7/15 * 5/3 =
= 7/3 * 1/3 =            (after simplifying)
= 7/9

Correct answer: A

Just keep in mind that dividing one fraction by another fraction is as much as multiplying the same fraction by an inverse of the second one.
(7)/(15) / (3)/(5)=(7)/(15) * (5)/(3)=(7)/(3 * \not5) * (\not 5)/(3)=(7)/(3 * 3)=(7)/(9) \Rightarrow \hbox{the answer is A}

Which word or phrase best clarifies the relationship between the claim andthe evidence?
Owning your own business can allow you more freedom than a typical
job. ______you may be able to schedule your work around other pursuits.

A meanwhile
B the first reason
C for example
D actually

Answers

Answer:

C

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

A news station in oregon recorded that the low temperature for 5 days were -3,-2,2,2, and 6.what was the average temperature for those days

Answers

 [ (- 3) + (-2) + 2 + 2 + 6 ] / 5 = 5 / 5 = 1.

Answer:

answer is 1

Step-by-step explanation:

Sum of numbers = -3-2+2+2+6 = 5

Count = 5

So, Average = 5/5

=> Average = 1

Jadas turtle walked 10 feet then half that length

Answers

Jada's turtle embarked on an intriguing journey, marking its passage with each step. Initially, it took a decisive stride spanning 10 feet. This pivotal moment laid the foundation for the subsequent segment of its expedition.

In a remarkable turn, the turtle chose to halve its preceding distance, taking a path less traveled and demonstrating an innate sense of mathematical intuition.

This deliberate decision to cover half the initial distance carries profound mathematical implications. Halving signifies a division, a fundamental operation in mathematics.

In this context, it exemplifies the concept of fractions and ratios, crucial elements in various mathematical disciplines. By traversing half of the initial 10 feet, the turtle traveled 5 feet, embodying the notion of proportionality and equivalence. This action aligns with the mathematical principle that dividing a quantity by 2 results in equal parts, illustrating balance and harmony.

Moreover, this scenario offers a valuable lesson in geometry, emphasizing spatial understanding. The turtle's journey can be visualized geometrically, with the initial 10-foot distance representing a line segment. Halving this segment creates two distinct yet symmetrical parts, showcasing the concept of geometric symmetry.

Understanding symmetry is fundamental not only in geometry but also in various branches of science and art, underscoring the turtle's unintentional yet profound contribution to these fields.

Furthermore, the turtle's expedition is symbolic of mathematical recursion, a concept prevalent in various mathematical problems and computer science algorithms. Recursive processes involve breaking a problem into smaller, similar subproblems.

In this case, the turtle repeatedly divides its path by 2, creating a recursive sequence of distances. Recursive thinking is a cornerstone of problem-solving, highlighting the turtle's journey as a metaphor for tackling complex challenges by breaking them down into manageable steps.

In essence, Jada's turtle, with its seemingly simple journey, encapsulates fundamental mathematical concepts such as fractions, ratios, geometry, symmetry, and recursion. Its measured steps echo the principles that underpin a wide array of mathematical phenomena, demonstrating the interconnectedness of mathematics with the world around us.

Through this tale, the turtle becomes not just a traveler but a mathematical muse, inspiring contemplation and understanding of the intricacies of the numerical world.

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What is 2/3 of 8 please help me

Answers

In math, there are a few words to keep an eye out for because it will give you directions for your equations...

"of" means times (×)
"is" means equals (=)

So you translate you sentence into an equation...

What is 2/3 of 8
what = 2/3 × 8

2/3 × 8 =
2/3 × 8/1 = 16/3

now reduce... 3 goes into 16 five times with 1 left over...

16/3 = 5 1/3


If x=4 and y=-2, the value of 1/2xy^2 is

a. 32
b. 8
c. -4
d. -8​

Answers

Answer:

b. 8

Step-by-step explanation:

To solve, we need to plug in the x and y values since we already have the values given to us

1/2(4)(2^2)

We should do the exponents first, 2^2 is 4

Now we are left with 1/2(4)(4)

4 times 4 is 16

16 times 1/2 is the same as 16/2

16/2=8

b. 8

I think the answer is 8 bc 0.5 x 4 is 2 and -2 x -2 is 4 and 4x2 is 8