7 4/6 - 2 3/6 subtracting mixed numbers?
Answers
7 4/6
- 2 3/6
_________
5 1/6
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The base of a solid in the xy-plane is a circle with a radius of 3. cross sections of the solid perpendicular to the x-axis are squares. set up the integral to arrive at the volume of the solid and solve.
jimmy earns $7.50 per hour. how long will it take him to earn $150? What is the equation to solve this problem?
Answers
Final answer:
The range of the function h(x) = -8x is all real numbers, as there are no restrictions on the output the function can produce. This is typical of a linear function.
Explanation:
The range of a function refers to the possible outputs it can produce. In the case of the function h(x) = -8x, it is a linear function, and there are no restrictions on the values that x can take, meaning x can be any real number between -∞ and +∞. The output, h(x), therefore, can be any real number, also between -∞ and +∞, given that it will be the result of -8 multiplied by x. Therefore, the range of the function h(x) = -8x is all real numbers from -∞ to +∞.
Learn more about range of a function here:
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Answers
x(x) - x(6) = 4(x) + 4(6)
x² - 6x = 4x + 24
- 4x - 4x
x² - 10x = 24
x² - 10x - 24 = 24 - 24
x² - 10x - 24 = 0
x = -(-10) +/- √((-10) - 4(1)(-24))
2(1)
x = 10 +/- √(100 + 96)
2
x = 10 +/- √(196)
2
x = 10 +/- 14
2
x = 5 + 7
x = 5 + 7 U x = 5 - 7
x = 12 x = -2
The values of x in the equation is either equal to 12 or -2.
Answers
Answer:
the solution to the inequality 1/2 + r/-4 ≥ 5/6 is r ≤ -4/3.
Step-by-step explanation:
To solve the inequality 1/2 + r/-4 ≥ 5/6, we need to isolate the variable r.
1. First, let's simplify the expression on the left side of the inequality:
1/2 + r/-4 can be rewritten as 1/2 - r/4.
2. Next, let's find a common denominator for 1/2 and -r/4. The common denominator is 4.
1/2 - r/4 becomes 2/4 - r/4.
3. Now, we can combine the fractions:
2/4 - r/4 = (2 - r)/4.
4. The inequality becomes:
(2 - r)/4 ≥ 5/6.
5. To eliminate the denominator, we can multiply both sides of the inequality by 4:
4 * (2 - r)/4 ≥ 4 * 5/6.
This simplifies to:
2 - r ≥ 20/6.
6. Let's further simplify the right side:
20/6 can be simplified to 10/3.
So the inequality becomes:
2 - r ≥ 10/3.
7. To isolate the variable r, we can subtract 2 from both sides of the inequality:
2 - r - 2 ≥ 10/3 - 2.
This simplifies to:
-r ≥ 4/3.
8. Finally, to solve for r, we need to multiply both sides of the inequality by -1. Since we are multiplying by a negative number, we need to reverse the direction of the inequality:
-r * (-1) ≤ (4/3) * (-1).
This simplifies to:
r ≤ -4/3.
Therefore, the solution to the inequality 1/2 + r/-4 ≥ 5/6 is r ≤ -4/3.
Answers
Scientific notation is commonly used by mathematicians, scientists and engineers in expressing too large or too small numbers written conveniently in a form of decimal.
Numbers in scientific notation are written in the form of
m × 10 to the power of n.
example:
300 in scientific notation is 3 x 10 to the power of 2.
where; 3x10x10= 300
Let us consider and evaluate 7 x 10 to the power of 3.
The answer is 7000. How did we get 7000?
7x10x10x10=7000
7x10=70
70x10=700
700x10=7000.
The simplest technique to find the value of expression (in scientific notation) is to count the number of zeros.for instance, 300 has two zeros, the scientific notation of 300 is 3x 10 to the power of 2 or 3x 10 to the second power. In other words, you multiplied 3 to 10 twice. The same thing with 7 x 10 to the third power.
Hope this helps!
6t^3 - 8t^8
B.
12t^6 - 4t^5
C.
6t^2 - 8t^4
D.
6t^3 - 4t^5
Answers
= (6t^3-4t^5)
so the answer is (D)
Answers
Answer:
Step-by-step explanation:
● 5 [ (27/8)^2 ÷ (81/4)^3 ] × 6^4
● 5 [ 27^2/8^2 ÷ 81^3/4^3 ] × 6^4
● 5 [ 27^2/8^2 × 4^3/81^3] × 6^4
● 5 [ 27^2 × 4^3 / 8^2 × 81^3] × 6^4
● 5 [ (3^3)^2 × 4^3 / (4×2)^2 × (9^2)^3]×6^4
● 5 [ 3^6 × 4^3 / 4^2 × 2^2 × 9^2 ×2^3]×6^4
● 5 [ 3^6 × 2^6/2^9 × 3^4 ] × 6^4
● 5 [ 3^2 /2^3] × 6^4
● 5 [3^2 × 6^4 / 2^3]
● 5 [ 3^2 × 2^4×3^4 / 2^3]
● 5 [ 3^7 × 2]