<h3>
Answer: Choice A</h3>
The -3 out front of that function means |-3| = 3 is the amplitude, which is the largest of the four functions.
In general, the sine function is
y = A*sin(B(x-C)) + D
where |A| is the amplitude. In the first answer choice, A = -3 so |A| = |-3| = 3.
Cosine has the same format since cosine is just a phase shift of sine.
Let's solve your equation step-by-step.
Question 1: −2(6−2x) =4(−3+x)
Step 1: Simplify both sides of the equation.
−2(6−2x) =4(−3+x)
(−2) (6) +(−2) (−2x) =(4)(−3)+(4)(x)(Distribute)
−12+4x=−12+4x
4x−12=4x−12
Step 2: Subtract 4x from both sides.
4x−12−4x=4x−12−4x
−12=−12
Step 3: Add 12 to both sides.
−12+12=−12+12
0=0
Answer: All real numbers are solutions.
Question 2:
Let's
solve your equation step-by-step.
5−1(2x+3)
=−2(4+x)
Step 1:
Simplify both sides of the equation.
5−1(2x+3)
=−2(4+x)
5+(−1)
(2x) +(−1) (3) =(−2) (4)+(−2)(x)(Distribute)
5+−2x+−3=−8+−2x
(−2x)
+(5+−3) =−2x−8(Combine Like Terms)
−2x+2=−2x−8
−2x+2=−2x−8
Step 2:
Add 2x to both sides.
−2x+2+2x=−2x−8+2x
2=−8
Step 3:
Subtract 2 from both sides.
2−2=−8−2
0=−10
Answer: There are no solutions.
Given:
1/2 loaf of bread
3 friends
1/2 ÷ 3 ⇒ 1/2 * 1/3 = 1*1 / 2*3 = 1/6
In dividing fractions, get the reciprocal of the divisor and multiply it to the dividend
Answer:
Step-by-step explanation:
Correct question
How many cubes with side lengths of ¼cm needed to fill the prism of volume 4 cubic units?
We know that,
Volume of a cube is s³
V = s³
Where 's' is length of side of a cube
Given that
The cube has a length of ¼cm, and a cube has equal length
s= ¼cm
Then, it's volume is
V = s³
V = (¼)³ = ¼ × ¼ × ¼
V = 1 / 64 cubic unit
V = 0.015625 cubic unit
Then, given that the volume of the prism to be filled is 4 cubic unit
Then,
As, we have to find the number if cubes so we will divide volume of prism by volume of one cube
Then,
n = Volume of prism / Volume of cube
n = 4 / 0.015625
n = 256
So, then required cubes to filled the prism is 256 cubes.
I = PRT...and since we are looking for r.....I / PT = R
I / PT = R
I = 510
P = 3000
T = 4
510 / (3000 * 4) =
510 / 12,000 =
0.0425 .....multiply by 100 to get the percent
4.25% <==