Answers
9514 1404 393
Answer:
a) 102.4
b) 72.6
c) 87.5
Step-by-step explanation:
The average value of a function over an interval is the integral of that function over the interval, divided by the width of the interval.
(a) The summer average is ...
[tex]\text{summer average}=\displaystyle\dfrac{1}{(\frac{1}{4})}\int_\frac{1}{2}^\frac{3}{4}{T(x)}}\,dx=87.5+23.4\cdot\dfrac{2}{\pi}\approx 102.4[/tex]
__
(b) The winter average is similar:
[tex]\text{winter average}=87.5-23.4\cdot\dfrac{2}{\pi}\approx 72.6[/tex]
__
(c) The annual average is the value added to the cosine function: 87.5
_____
Additional comment
The integral of the cosine function over the period of interest is ...
∫cos(2πx)dx = 1/(2π)sin(2πx)
For the limits x=1/2 and x=3/4, this becomes 1/(2π)(-1 -0) = -1/(2π).
When multiplied by -23.4(1/(1/4)), we get +23.4(2/π).
Related Questions
Question 4
0/20 pts
PLEASE HELP!!!: The slope of a line is –3 and the
y-intercept is (0,4). What is the
equation of the line in slope-intercept
form?
Answers
9514 1404 393
Answer:
D. y = -3x +4
Step-by-step explanation:
The slope-intercept form is ...
y = mx + b
where m is the slope (-3) and b is the y-intercept (4). Putting these values into the form gives ...
y = -3x +4 . . . . . matches choice D
Which values from the set {2,4,6,8,10} make this inequality n + 5 > 10 true?
Answers
Answer:
6,8,and 10
Step-by-step explanation:
Answer:
6,8,and 10
Step-by-step explanation:
when you plug in each number from the set into the inequality you will see which values from the set will make the inequality true.
1. 2+5>10 = 7>10 FALSE
2. 4+5>10 = 9>10 FALSE
3. 6+5>10 =11>10 TRUE
4. 8+5>10 = 13>10 TRUE
5. 10+5>10 = 15>10 TRUE
6 more than a quotient of nine and a number p
Answers
Answer:
9/p+6
Step-by-step explanation:
The two trapezoids below are similar. What is the length of EF
Answers
Answer:
answer is 6
Step-by-step explanation:
i know answer is 2 weeks late
Need help on question hurry
Answers
Answer: C
Step-by-step explanation: it is c trust me
a car is 180inches long. a truck is 75% longer then the car. how long is the truck?
Answers
Answer:
135 in.
Step-by-step explanation:
List all the factors.
48
Answers
Answer:
Postive intiger factors: 1, 2, 3, 4, 6, 8, 12, 16, 24 and 48.
Answer:
1,2,3,4,6,8,12,16,24,48
Step-by-step explanation:
Hal rolls a fair six-sided die 60 times. What is the best prediction of the number of times Hal will roll a 3 or a 6?
exactly 20 times
roughly 20 times
exactly 30 times
roughly 30 times
Answers
Answer:
roughly 20 times
Step-by-step explanation:
2/6 = 1/3 is the probability he will roll a 3 or a 6
1/3 * 60 = 20.
It's not exact because you can't predict exactly what will happen, so it's roughly 20 times.
When completely factored, 8x + 2y - 4
Answers
Answer:...
-4+8x+2xy
Step-by-step explanation:
Courtney walks 5 laps around 1/4 mile track. how far does she walk?
Answers
Answer:
1 1/4 miles
Step-by-step explanation:
give me stuff thats equivalent to 2/10
plz
i dont know my mafs
Answers
Nancy has worn a blue skirt on 8 of the last 20 days.
What is the probability that Nancy will wear a blue skirt tomorrow?
Shade the probability as a fraction of the circle.
HELP
Answers
Answer:
it's just 8/20 so shade 8/20 of the circle
Mark has already earned money for mowing lawns over the summer when he takes a job at the local grocery store, earning $9.50 per hour. After working 16 hours at the grocery store, Mark has earned a total of $292. Write a linear equation to represent the amount of money m that Mark has earned this summer after working h hours at the grocery store.
Answers
Step-by-step explanation:
M=9.5 (16,292)
(y=mx+b)
292=9.5(16)+b
The linear equation m = 9.50 h + 140 represents the amount of money m that Mark has earned this summer after working h hours at the grocery store.
What is the Linear equation?A linear equation is defined as an equation in which the highest power of the variable is always one.
Mark takes a job at the local grocery store, earning $9.50 per hour.
After working 16 hours at the grocery store, he earned a total of $292.
As per the given question, we can see points (16, 292)
Here earning $9.50 per hour can represent a slope of a linear function
Thus, M = 9.5 (16, 292)
The standard linear equation is given by,
⇒ m = Mx+b ....(i)
Substitute the values in the above equation,
292 = 9.5(16) + b
b = 292 - 152
b = 140
Substitute the value b = 140 in the equation(i),
⇒ m = 9.50 h + 140
Thus, the linear equation m = 9.50 h + 140 represents the amount of money.
Learn more about the Linear equations here:
https://brainly.com/question/13738061
#SPJ2
PLZ HELP ASAP
A cereal box holds 729 cubic inches if the area of the base measures 40.5 square inches
Answers
Answer:
The height = 18 inches
Step-by-step explanation:
The volume = area of the base × height
Area of the base = 40.5 inches²
The volume = 729 inches³
729 = 40.5 × height
Height = 729 ÷ 40.5 = 18 inches
A mathematical phrase represented by numbers, variables, and operations is a(n)
pls help:)
Answers
Answer:
Expression
Step-by-step explanation:
Answer: Expression
Got this right!!!
Hope this helps!!!
write the number seventeen thousand and forty-eight in figures
Answers
Answer:
17 048
hi lets be freinds pleeease
Step-by-step explanation:
Fourth eight is 48 (2 figures)
add them up 17,000+48 = 17048
Solve the equation and enter its solution set below. Enter the solutions in solution set notation separated by a comma and in order from smallest to largest. Enter fractional answers using / as in 2/3 for
\frac23
.
6x(x+2)=-25x+35
Answers
Answer:
5/6, 7
Step-by-step explanation:
Quadrilateral GHJK is a rectangle.
Find the measure of angle 1, given that the measure of angle 4 is 54°. *
(1 Point)
54°
46°
126°
134°
Answers
Answer:
126 degrees
Step-by-step explanation:
The sum of adjacent side of the rectangle is 180 degrees
Hence <1 + <4 = 180 degrees
Given
<4 = 54 degrees
<1 = 180 - <4
<1 = 180 - 54
<1 = 126degrees
Hence the value of <1 is 126 degrees
Each card in a set of cards has a different number from 1 to 12 written
on it. A student randomly chooses a card, records the number shown
on the card, and replaces the card. The table shows the results of the
student choosing a card 25 times.
Based on the data in the table, how
many of the next 125 cards the
student chooses could be expected
to have a number shown on the card
that is a multiple of 4?
Results
Answers
Answer: 35
Step-by-step explanation: i first divided 12 and 125 since there is 125 cards in total and 12 different cards which gives you 10 point something. There is 3 multiples of 4 so i multiplied 3x10 which gives you 30 and the closest answer is 35. You're welcome
Answer:
35
Step-by-step explanation:
got it right
Is graphite all of the following?
Pure substance
Element
Compound
And Molecule
Pls help asap
Answers
Answer: Yes!
Step-by-step explanation:
Yes, graphite is composed of 100%carbon. With this, can we say that graphite is an element or compound of carbon? Compound is composed of two or more elements combined in a substance in definite proportions, in the form of molecules held together by chemical bonds.
You are given that angle RST and angle TUR are right angles. What additional piece of info allows you to prove they are congruent
Answers
Answer:
the additional info required is - the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle.
Step-by-step explanation:
As given , RST and angle TUR are right angles.
So the triangles are right angle triangles.
If the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle, the two triangles are congruent.
So, the additional info required is - the hypotenuse and one leg of one right-angled triangle are equal to the corresponding hypotenuse and leg of another right-angled triangle.
I really need help with this so plz give a good answer
Answers
The number line graph below is the graph of which of the following
inequalities?
-2
B
-2 5x and 5 X
C
-2 sx or 5 x
D
-2 x or 5 SX
E
-2 2 x or 5 X
Answers
Step-by-step explanation:Graph inequalities or systems of inequalities with our free step-by-step math ... This system is composed of two number lines that are perpendicular at their zero points. ... You can usually find examples of these graphs in the financial section of a ... and below the line while all the points that will not are above and to the right.
Which table represent the statement "A computer repairman makes $25 per hour"?
Answers
Answer:
c
Step-by-step explanation:
What are the dimensions of a 2x4x8
Answers
Answer: Many of you know this, but why is this a thing? You don't go to Subway and pay for a $5-footlong expecting to get 11 inches (although many of you will argue this is the case). And it's not just a 2x4: A 1x4 is actually ¾ inches by 3-½ inches; a 4x4 is actually 3-½ inches by 3-½ inches.
Step-by-step explanation:
If you are asking what they equal up too, your answer is 16
If this isn't, please correct me and I will give you a better answer
Name the integers from the list below.
2 , -4,0, 32, 5.31, V70, V7,31, 1.3636636663...
Answers
Answer:
The first 4
Step-by-step explanation:
any that are whole numbers
Solve for y: y+4 = -2(x – 6)
Answers
l hope that helps
I will give brainiest.
Answers
Answer:
the third one is the answer
solve the following problem. round to one decimal place if necessary. if your answer is correct you will see an image appear on your screen
Answers
Answer:
theres no picture
Step-by-step explanation:
A and B are complementary angles. If m A = (4x + 24) and m
ZB = (3x – 4)º, then find the measure of B.
Answers
Answer: 26
Step-by-step explanation: Complementary angles are angles that add up to 90 degrees. So we use m<a+m<b=90 so let plug in
(4x+24)+ (3x-4)=90, then combine like with like.
7x+20=90
7x=70
x=10
Then let plug it in for angle B
(3(10)-4= 26
Answer:
x = 10°
∠B = 26°
Step-by-step explanation:
complementary means they add up to 90 degrees.
4x + 24 + 3x - 4 = 90°
combine like terms:
7x + 20 = 90°
7x = 70°
x = 10°