The coldest time of day in Mumbai is 5 hours after midnight.
Since the average temperature t hours after midnight in Mumbai, India, is given by:
T(t)=24.5-5.5sin((2pi(t+1))/24)
We have that
T(t) = 24.5 - 5.5sin((2π(t+1))/24)
The coldest time of day is when T(t) is minimum.
T(t) is minimum when 5.5sin((2π(t+1))/24) is minimum where t is the coldest time of day at minimum temperature, T(t).
Since for a sine function, -1 ≤ sinФ ≤ 1, the minimum value of sinФ = -1.
So, T(t) = 24.5 - 5.5sin((2π(t+1))/24) is minimum when
5.5sin((2π(t+1))/24) is minimum.
Also, -5.5sin((2π(t+1))/24) = 5.5 × -1 at minimum temperature T(t)
So, 5.5 × -1 = 5.5 × -sin((2π(t+1))/24)
So, -sin((2π(t+1))/24) = -1
sin((2π(t+1))/24) = 1
Taking inverse sine of both sides, we have
sin⁻¹sin((2π(t+1))/24) = sin⁻¹(1)
((2π(t+1))/24) = π/2
Multiplying both sides by 24, we have
(2π(t+1))/24 × 24 = π/2 × 24
(2π(t+1)) = 12π
Dividing both sides by 2π, we have
2π(t+1)/2π = 12π/2π
t + 1 = 6
t = 6 - 1
t = 5 hours
So, the coldest time of day in Mumbai is 5 hours after midnight.
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Geometry, please answer question ASAP
Answer:
Figures A,D are polygons.
Reason:
Polygon is a closed figure with atleast three strange lines and angles.
5. Define Linear Pair.
Answer:
when 2 angles add up to 180 degrees, they form a linear pair
Step-by-step explanation:
What is the surface area of a cube measure 8 c/w?
Answer:
512
Step-by-step explanation:
if 8 is the edge using the formula
V=a³=8³
V=512
A pair of shoes is on sale for 30% off. The original price is p. Which expression can be used to find the price of the shoes after the discount?
a) 0.30p
b) 0.70p
c) 1.30p
d) 30p
Answer:
Step-by-step explanation:
the answer is b
Liang bought a basket of apples to make pies for her friends. The basket of apples weighed ppp pounds. Before she had time to make the pies, she ate 3 pounds of apples. There are 17 pounds of apples left to make pies.
Answer: The equation to describe the situation is p-3= 17
And, the total weight of the basket of apples was 20 pounds.
Step by step: Now, to write an equation to describe the situation. And to find the total weight of the basket of apples.
So, the basket of apples total weighed = p pounds
Liang ate apples weighed = 3 pounds.
And the apples left for the pies weighed = 17 pounds.
Now, to write an equation describing the situation:
p-3=17 .
Thus, the equation is p-3=17
Now, to get the total weight of the basket of apples:
p-3=17
adding both sides by 3 we get : p=20
Hence, the basket of apples total weighed = 20 pounds.
Therefore, the equation to describe the situation is p-3=17
And, the total weight of the basket of apples was 20 pounds.
THIS SHOULD HELP U
HAVE A GOOD DAY !
a circle in the xy plane has a center at (3/4, 1/2)
Answer:
(x - 3/4)^2 + (y - 1/2)^2 = r^2
Brainliest, please!
Step-by-step explanation:
Equation of a circle: (x - h)^2 + (y - k)^2 = r^2
(x - 3/4)^2 + (y - 1/2)^2 = r^2
We do not have enough information to find the radius. Were you given another point that lies on the circle?
Please help explanation if possible
Answer:
160= 2W + 2L ; W = L –16
2W+2L=160 ] ÷2
W+L= 80
W=L–16
____o____o___
L-60+L= 80 —> 2L= 96
L=48
W=L–16 —> w= 48-16 =32
W=32 ; L=48
I hope I helped you^_^
Find the area of the figure below. Use 3.14 for pi.
Step-by-step explanation:
As we can say that,
diameter=10 cm
to find radius ,
radius =diameter/2
5cm
now, we can say
Area of semi circule= 1/2 ×3.14 ×5^2
=3.14 ×25/2
= 39.25 cm^2
also,Length =14 cm now,
area of square= l^2
=14×14
196cm^2
now ,total area of figure =196+39.25=235.25cm^2
therefore, total area is 235.25cm^2
Which of the following illustrates the truth value of the given conditional statement?
If 3.2 = 5, then 6 <0.
OFF-T
OTT →T
OTEF
OFT →T
Answer:
OTT →T.................
................... ............
Surveys tried out on a small number of people before they are used with a larger group of people are known as ____________ surveys.
A. predominant
B. pilot
C. preliminary
D. primary
Which equation can be used to find the unknown length, b, in this triangle?
Answer: Choice A
4^2 + b^2 = 5^2
This is due to the pythagorean theorem.
fin the slope of the line that is perpendicular to y=1/3x
1. 3
2. -3
3. -1/3
4. 12
Answer:
-3
Step-by-step explanation:
When a line is perpendicular, the slope becomes the opposite to the original. If the slope is 1/3, the perpendicular line's slope would be -3.
Write the sum using the summation notation assuming the suggested pattern continues 2, -10, 50, -250, +…
Is this sequence arithmetic or geometric? How do you know?
Answer:
geometric
x=number of terms
∑ 2(-5)^(k-1)
k=1
Step-by-step explanation:
the sequence has a ratio of -5 (2*-5=-10, -10*-5=50)
x=number of terms
∑ 2(-5)^(k-1)
k=1
for this i don't know what the last term is since it doesn't show in the question but just find 2(-5)^x and x will be the top term
mΖΗ - 67
pleas please please help!! i’m doing angles
Answer:
could u take a picture of the angles please
Step-by-step explanation:
Please help me figure out these two problems!! Thanks
Answer:
A) eight legs per one spider (56/7)
B) one pretzel is 2.25 (6.75/3)
Step-by-step explanation:
56 divided by 7 is 8
6.75 divided by 3 is 2.25
Given positive integers x and y such that x doesn't equal y and $1/x+1/y=1/18$ what is the smallest possible value for x+y?
Answer:
Hello,
[tex]\boxed{Answer: 75}[/tex]
Step-by-step explanation:
x,y integers, x,y >0 ,x≠y
[tex]\dfrac{1}{x} +\dfrac{1}{y} =\dfrac{1}{18}\\\\\dfrac{x+y}{xy} =\dfrac{1}{18}\\\\x+y=\dfrac{xy}{18}\\\\x=\dfrac{18y}{y-18}\\x=\dfrac{18y-324 +324}{y-18}\\x=18+\dfrac{324}{y-18}\\[/tex]
[tex]\dfrac{1}{x} +\dfrac{1}{y} =\dfrac{1}{18}\\\\\dfrac{x+y}{xy} =\dfrac{1}{18}\\\\x+y=\dfrac{xy}{18}\\\\x=\dfrac{18y}{y-18}\\x=\dfrac{18y-324 +324}{y-18}\\x=18+\dfrac{324}{y-18}\\\begin{array}{|c|c|c|c|}y-18&y&x&x+y\\---&---&---&---\\1&19&18+324=342&362\\2&20&18+162=180&200\\3&21&126&147\\4&22&99&121\\6&24&108&132\\12&30&45&75\\18&36&36&72\\\end{array}\\\\\\\boxed{Answer: 75}\\\\[/tex]
Las unidades solo son 1 6 7 o són 167 unidades 6 decimas...No lo entiendo.
c d u
Porfa ayuda.
Halla el valor de x :
•27/x = x/3
suppose that this decade begins on 1 january 2020 which is wednesday and the next decade begins on 1 january 2030. how many Wednesday are there in this decade?
Answer:
521
365 *10 = 3650
365/7 = 521.4
Step-by-step explanation:
how many pounds are the squares to make them equal?
Answer:
hmm
try keeping 1.5
lhs = 1 + 1 + 1.5 + 1.5 + 1.5 = 6.5
rhs = 1+1+1+1+1 + 1.5 = 6.5
hence ans is 1.5
BRIAINLIEST PLASSS
convert 1/1000 to a decimal or percent please and thank you
Answer:
0.001 ,0.10 pls give me brainliest
Step-by-step explanation:
In decimal fraction we write it as 1/1000. In decimal number we write it as . 001 and we read it as point zero zero one.
What is the value of 2.3 + 8 – 1/2?
a ) 10.8
b) 10.03
c) 9.8
d) 9.5
Answer:
9.8
Step-by-step explanation:
2.3 + 8 – 1/2
Rewriting the fraction as a decimal
2.3 + 8 – .5
9.8
There were 642 students enrolled in a freshman-level chemistry class. By the end of the semester, the number of students who passed was 5 times the number of students who failed. Find the number of students who passed and the number who failed.
Answer:
535 students passed and 107 students failed
Step-by-step explanation:
Create a system of equations where p is the number of students who passed and f is the number of students who failed:
p + f = 642
p = 5f
Solve by substitution by plugging in 5f as p into the first equation, then solving for f:
p + f = 642
5f + f = 642
6f = 642
f = 107
So, 107 students failed.
Find how many students passed by multiplying this by 5:
107(5)
= 535
535 students passed and 107 students failed.
PLS HELP ME ON THIS QUESTION I WILLL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
Which of the following measures is a measure of spread?
A. median
B. range
C. mode
D. mean
Answer:
B) Range
Step-by-step explanation:
Hope this will help you
Answer:
Range
Step-by-step explanation:
I hope this will help buddy
jojo is twice as Old as esi who in turn is five years older than kweku . if their total age is 47,how is each of them
Answer:
jojo is 26
esi is 13
and kweku is 8 years old.
Step-by-step explanation:
Let esi's age be x then jojo's age is 2x.
Also kweku's age is x - 5. as esi is 5 years older than kweku.
So x + 2x + x - 5 = 47
4x = 47 + 5 = 52
x = 13.
So jojo's age is 2*13 = 26 and kweku's age is 13 - 5 = 8.
In the expression, 9x^3+4x^2+7x+6, what is the constant?
9
7
6
4
Answer:
6Step-by-step explanation:
Constant - any number that do not have a variable.Ex.: 6[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]
An expression is defined as a set of numbers, variables, and mathematical operations. In the given expression 9x³+4x²+7x+6, the value of the constant is 6.
What is an Expression?In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
In the given expression, 9x³+4x²+7x+6, the value of the constant is the value that does not have any variable with it.
Therefore, in the given expression 9x³+4x²+7x+6, the value of the constant is 6.
Learn more about Expression here:
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#SPJ2
26 $300 at 2% for 1 year
Answer:
bsbsba
anbznzn
Step-by-step explanation:
jajjdjjxj
Square root of 64 + cube root of 64 is
Answer:
12
Step-by-step explanation:
[tex]\sqrt{64}[/tex] + [tex]\sqrt[3]{64}[/tex]
= 8 + 4
= 12
Square root of 64 = [tex] \sf \sqrt{64} = \sqrt{8 \times 8} = \boxed{\bf 8}[/tex]
Cube root of 64 = [tex] \sf \sqrt[3]{64} = \sqrt[3]{4 \times 4 \times 4} = \boxed{ \bf4}[/tex]
So,
Square root of 64 + Cube root of 64
[tex] = \sf \sqrt{64} + \sqrt[3]{64} \\ \sf = 8 + 4 \\ = \boxed{ \bf12}[/tex]
12 is the answer of the question asked.
____________
Hope it helps.
RainbowSalt2222
For a given sample size in hypothesis testing, a.Type II error will not be effected by Type I error. b.the smaller the Type I error, the larger the Type II error will be. c.the smaller the Type I error, the smaller the Type II error will be. d.the sum of Type I and Type II errors must equal to 1.
Answer:
B.the smaller the Type I error, the larger the Type II error will be
Step-by-step explanation:
In hypothesis, type I error is when we reject the null hypothesis even though it's true while type II error is when we accept the null hypothesis even though it is false.
Now, the type I error is based on the significance level alpha. While the type II error is based on the statistical power beta.
This means that the significance level will affect the statistical power and we know that the significance level is inversely related to the Type II error rate based on beta.
Therefore, we can conclude that;
Having a lower significance level will lead to a decrease in the risk of getting a Type I error, however, it will increase the possibility of having a Type II error.
Thus, option B is correct.
5. Jill has an old bike. Her parents gave her $40
to repair it. New tires will cost $21. She also
wants to buy a bell for $5 and a basket for $13
How much money will Jill have left?
Answer:
1$ %ffddrjdjjdjdjdjjdjrjduduufufjf
