Answer:3/8
Step-by-step explanation:
The simplest form of
15
/40 is 3
/8
.
Steps to simplifying fractions
Find the GCD (or HCF) of numerator and denominator
GCD of 15 and 40 is 5
Divide both the numerator and denominator by the GCD
15 ÷ 5
40 ÷ 5
Reduced fraction:
3
/8
Therefore, 15/40 simplified to lowest terms is 3/8.
Answer:
Distance of Sun and Mercury = 58,000,000 km.
In Scientific notation, it would be: 5.8 × 10⁷ Km
Diameter of a human hair = 0.0025 cm
In scientific notation, it would be: 2.5 × 10⁻³ cm
Before Comparison, we need to bring centimeter to Kilometers or vice-versa, so we can easily calculate then, here, we will go from cm to Km.
2.5 × 10⁻³ × 10⁻⁵ Km = 2.5 × 10⁻⁸
Now, we can compare the values,
5.8 × 10⁷ Km > 2.5 × 10⁻⁸
[ reason. - power of smaller number is in negative, it means, it is denominator, which would be very small as compared to other ]
Step-by-step explanation:
Answer:
Q13. y = sin(2x – π/2); y = - 2cos2x
Q14. y = 2sin2x -1; y = -2cos(2x – π/2) -1
Step-by-step explanation:
Question 13
(A) Sine function
y = a sin[b(x - h)] + k
y = a sin(bx - bh) + k; bh = phase shift
(1) Amp = 1; a = 1
(2) The graph is symmetrical about the x-axis. k = 0.
(3) Per = π. b = 2
(4) Phase shift = π/2.
2h =π/2
h = π/4
The equation is
y = sin[2(x – π/4)} or
y = sin(2x – π/2)
B. Cosine function
y = a cos[b(x - h)] + k
y = a cos(bx - bh) + k; bh = phase shift
(1) Amp = 1; a = 1
(2) The graph is symmetrical about the x-axis. k = 0.
(3) Per = π. b = 2
(4) Reflected across x-axis, y ⟶ -y
The equation is y = - 2cos2x
Question 14
(A) Sine function
(1) Amp = 2; a = 2
(2) Shifted down 1; k = -1
(3) Per = π; b = 2
(4) Phase shift = 0; h = 0
The equation is y = 2sin2x -1
(B) Cosine function
a = 2, b = -1; b = 2
Phase shift = π/2; h = π/4
The equation is
y = -2cos[2(x – π/4)] – 1 or
y = -2cos(2x – π/2) - 1
Answer:
84,480 Pennies
Step-by-step explanation:
I hope this helps!
