suppose Monica walks 1 kilometer every 15 minutes how many meters further can she walk in 1 hour at this new rate
Answers
1km...........................15min
?km............................60min
60/15=4
Monica walks 4km in 60 min(1H)
1km=1,000m
4km=4,000m in 1 hour
Related Questions
Use the following four coordinates to determine which one has a distance of 5 units from point A (2, 6). (5 points) (5, 2) (2, 5) (6, 7) (7, 5)
Write 3x – 1 + 5x + 7 in simplest form.
Which fraction is closer to 1/2 than to 0 or 1
For which product or quotient is this expression the simplest form? (image attached)! please help :((
B.6.40ft
C.2.33ft
D.1.40ft
Answers
thus we shall have:
Sn=ar^n
where:
a=first term
r=common ratio
from the information:
a=30 ft
r=60/100=3/5=0.6
therefore the formula will be
Sn=30(0.6)^n
where n is the number of terms:
thus when n=5 th sum will be:
S5=30(0.6)^5
S5=30(0.6)^5
S5=2.33 ft
Answer: 2.33 ft
Answer:
2.33
Step-by-step explanation:
Answers
Answer:
0.4949
=
49 this is a fraction
99
Step-by-step explanation:
Let
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0.49
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49
then
XXX
100
x
=
49.49
¯¯¯¯
49
and
XXX
99
x
=
100
x
−
x
=
49
XXX
x
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49
99
Answers
Answer:
(a) ⅛ tan⁻¹(¼)
(b) sec x − ln│csc x + cot x│+ C
Step-by-step explanation:
(a) ∫₀¹ x / (16 + x⁴) dx
∫₀¹ (x/16) / (1 + (x⁴/16)) dx
⅛ ∫₀¹ (x/2) / (1 + (x²/4)²) dx
If tan u = x²/4, then sec²u du = x/2 dx
⅛ ∫ sec²u / (1 + tan²u) du
⅛ ∫ du
⅛ u + C
⅛ tan⁻¹(x²/4) + C
Evaluate from x=0 to x=1.
⅛ tan⁻¹(1²/4) − ⅛ tan⁻¹(0²/4)
⅛ tan⁻¹(¼)
(b) ∫ (sec³x / tan x) dx
Multiply by cos x / cos x.
∫ (sec²x / sin x) dx
Pythagorean identity.
∫ ((tan²x + 1) / sin x) dx
Divide.
∫ (tan x sec x + csc x) dx
Split the integral
∫ tan x sec x dx + ∫ csc x dx
Multiply second integral by (csc x + cot x) / (csc x + cot x).
∫ tan x sec x dx + ∫ csc x (csc x + cot x) / (csc x + cot x) dx
Integrate.
sec x − ln│csc x + cot x│+ C
Answer:
(a) Solution : 1/8 cot⁻¹(4) or 1/8 tan⁻¹(¼) (either works)
(b) Solution : tan(x)/sin(x) + In | tan(x/2) | + C
Step-by-step explanation:
(a) We have the integral (x/16 + x⁴)dx on the interval [0 to 1].
For the integrand x/6 + x⁴, simply pose u = x², and du = 2xdx, and substitute:
1/2 ∫ (1/u² + 16)du
'Now pose u as 4v, and substitute though integral substitution. First remember that we have to factor 16 from the denominator, to get 1/2 ∫ 1/(16(u²/16 + 1))' :
∫ 1/4(v² + 1)dv
'Use the common integral ∫ (1/v² + 1)dv = arctan(v), and substitute back v = u/4 to get our solution' :
1/4arctan(u/4) + C
=> Solution : 1/8 cot⁻¹(4) or 1/8 tan⁻¹(¼)
(b) We have the integral ∫ sec³(x)/tan(x)dx, which we are asked to evaluate. Let's start by substitution tan(x) as sin(x)/cos(x), if you remember this property. And sec(x) = 1/cos(x) :
∫ (1/cos(x))³/(sin(x)/cos(x))dx
If we cancel out certain parts we receive the simplified expression:
∫ 1/cos²(x)sin(x)dx
Remember that sec(x) = 1/cos(x):
∫ sec²(x)/sin(x)dx
Now let's start out integration. It would be as follows:
Solution: tan(x)/sin(x) + In | tan(x/2) | + C
Answers
Answer:
A quadratic equation has solutions when the graph crosses the x-axis. There are two ways the graph can have no solution, when the "a" value is greater than 0 and is translated vertically above the x-axis, or if the opposite occurs, when the "a" value is negative and is translated vertically below the x-axis.
Answers
Answer:
y=1/5x or y=.2x
Step-by-step explanation:
the constant=k the equation is always y=kx and if the constant of proportionality is 1/5 you would do y=1/5x or y=.2x
Answer:
C. y = one-fifth x
Step-by-step explanation:
I took the quiz
Answers
Answer:
120
Step-by-step explanation:
360 combined, 2/3 is cheese, so 1/3 is hamburger, 1/3 of 360 is 120.