Using the laws of indices , 4⁵ ÷ 4² can rewritten as 4³.
<h3>What is the result of the division in exponent form?</h3>
Given the expression; 4⁵ ÷ 4²
To perform the division operation, we use one of the laws of indices;
Given that;
Now, we apply the laws of indices ;
4⁵ ÷ 4² = 4⁵⁻² = 4³
Therefore, using the laws of indices, 4⁵ ÷ 4² can rewritten as 4³.
Learn more about exponents here: brainly.com/question/15993626?
#SPJ1
Answer:
See below
Step-by-step explanation:
<h3>Given function </h3>
<u>Another notation for same function is</u>
- y = 5x - 7, where 5 is the slope and -7 is the y-intercept
<h3>Questions
</h3>
<u>1. Is the function increasing or decreasing?
</u>
- Increasing as x has positive slope
<u>2. What is the y-intercept?
</u>
<u>3. What is the slope?
</u>
<u>4. What is f(-2)?
</u>
- f(-2) = 5(-2) - 7 = - 10 - 7 = -17
<u>5. If f(x) = 0, what is x?</u>
- f(x) = 0
- 0 = 5x - 7
- 5x = 7
- x = 7/5
- x = 1.4
Answer:
Step-by-steplanation:
Add: 1
2
+ 2
5
= 1 · 5
2 · 5
+ 2 · 2
5 · 2
= 5
10
+ 4
10
= 5 + 4
10
= 9
10
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(2, 5) = 10. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 2 × 5 = 10. In the next intermediate step the fraction result cannot be further simplified by cancelling.
In words - one half plus two fifths = nine tenths.
Conversion a mixed number 6 2
7
to a improper fraction: 6 2/7 = 6 2
7
= 6 · 7 + 2
7
= 42 + 2
7
= 44
7
To find new numerator:
a) Multiply the whole number 6 by the denominator 7. Whole number 6 equally 6 * 7
7
= 42
7
b) Add the answer from previous step 42 to the numerator 2. New numerator is 42 + 2 = 44
c) Write previous answer (new numerator 44) over the denominator 7.
Six and two sevenths is forty-four sevenths
Add: the result of step No. 1 + 44
7
= 9
10
+ 44
7
= 9 · 7
10 · 7
+ 44 · 10
7 · 10
= 63
70
+ 440
70
= 63 + 440
70
= 503
70
For adding, subtracting, and comparing fractions, it is suitable to adjust both fractions to a common (equal, identical) denominator. The common denominator you can calculate as the least common multiple of the both denominators - LCM(10, 7) = 70. In practice, it is enough to find the common denominator (not necessarily the lowest) by multiplying the denominators: 10 × 7 = 70. In the next intermediate step the fraction result cannot be further simplified by cancelling.
In words - nine tenths plus forty-four sevenths = five hundred three seventieths.
Answer:
t.uy
Step-by-step explanation:
I'm not sure how to do this manually but if you plug in 7/12 in a scientific calculator and then press sin -1 you'll get approximately 35.685
