Start with an initial temperature of T0 = 70° at t = 0 hours, and add to that a sine function that does the following, in order:
Rises by 10°, reaching 80° after 6 hours
Drops by 10º, reaching 70° after 12 hours
Drops by 10°, reaching 60° after 18 hours
Rises by 10°, reaching 70° after 24 hours
Note that the amplitude of the sine function is A = 10°.
T = period of the sine function
T = 24 hours
f(x) = T0 + A sin[(2π/T)x]
where
T0 = 70°
A = 10°
T = 24 hours
x = elapsed time in hours
f(x) = 70º + (10°)sin[(π/12)x]
with x in hours.
Test this solution and see that it fits the data. (Make sure your calculator is in the radian mode!)
Answer:
10sin(πx/12)+70
Step-by-step explanation:
I just took a quiz and this was the correct answer.
In a bag, there are 15 tickets bearing the numbers 1 to 15. One ticket is drawn at
random from the bag. Find the probability that the ticket drawn bears a number
multiple of 3.
Answer:
1 in 5
Step-by-step explanation:
Multiples of 3 from 1 to 15:
3, 6, 9, 12, 15
Find the lowest multiple of 3.
Formula for probability:
Probability number is drawn/total
3/15
Convert it to simplest form.
1/5
I am not so sure about this, but I have seen people do this, hope I'm not wrong.
PLease help
WILL GIVE BRAINLIEST
Answer:
41.472 m²
8.449m²
Step-by-step explanation:
c) scale facot is 7.2/5 = 1.44
the square scale factor is 1.44^2 = 2.0736
times 20 by this to get the area
2.0737x 20 = 41.472 m²
d) 2.8/6 = SF = 0.467
0.2178 x 38.8 = 8.449m²
M_ABD = 90°. Find m2ABC.
A
(3x – 3)
(x-7)°
B
D
Answer:
positive and negative or c1
Help me, witch are the true!!!?
Answer:
A is the answer hope this helps
10 / 16 = n / 19
round to the nearest 100th if needed
Answer:
exact form is 95/8 decimal form 11.875 and mixed number form n= 11 7/8
Which of the following figures does not have a line of symmetry?
Answer:
it should be C
"twice as old as y decreased by 10
Answer:
2y = 2(-10) = -20
Step-by-step explanation:
Chris can type 150 words in 4 minutes. How many words can he type in 1 minute?
Answer:
37.5
Step-by-step explanation:
37.5 wpm
Answer:
37.5 words per minute!
Step-by-step explanation:
Chris can type 150 words, dividing the amount of words by the minutes can give us the rate per minute.
150/4= 37.5 words per minutes
You just found the rate of which Chris types per minute!
2/3•x-9=12 solve for x?
Answer:
31.5
Step-by-step explanation:
Ok.
2/3x - 9 = 12
2/3x = 21
x = 21*(3/2)
x = 63/2 = 31.5
Answer:
[tex]x=\frac{63}{2}[/tex]
Step-by-step explanation:
[tex]\frac{2}{3} \times x-9=12[/tex]
Add 9 to both sides:
[tex]\frac{2}{3}x-9+9=12+9\\\frac{2}{3}x=21[/tex]
Multiply both sides by 3/2:
[tex](\frac{3}{2} )\times(\frac{2}{3}x)=(\frac{3}{2} )*(21)\\x=\frac{63}{2}[/tex]
x = 63/2 is your answer.
. Which combinations hold the same amount of liquid as a 14-cup jug? A. 2-quart bottles and 4-pint bottles B. 3-quart bottles and 2-cups C. 1-quart bottle and 6-pint bottles and 2-cups D. 1-quart bottle and 10-cups E. 2-quart bottles and 2-pint bottles and 2-cups
Answer:
B, D, and E
Step-by-step explanation:
8 oz = 1 cup
1 qt = 32 oz
1 pint = 16 oz
14 cups = 8 x 14 = 112 oz
A) 64 + 64 = 128 no
B) 96 + 16 = 112 yes
C) 32 + 96 + 16 = 144 no
D) 32 + 80 = 112 yes
E) 64 + 32 + 16 = 112 yes
100%
The distance between Boomtown and Dayville on a map is 13.0 cm. The scale of the map is 10 cm = 25 km
Approximately how far apart are Boomtown and Dayville?
Answer:
32.5
Step-by-step explanation:
We can set this problem up as a proportion:
[tex]\frac{10}{25} = \frac{13}{x}[/tex] In doing this, we find the exact distance from Boomtown to Dayville. Another way to do it is by dividing 25 by 10, to get 2.5, then multiplying 2.5 by 13 to get 32.5
A function is a mathematical rule that.....
A. Has one or more exponential expressions
B. Can be graphed as a straight line
C. Sends every input to only one output
D. Sends every output to only one input
Answer:
B
Step-by-step explanation:
A function can be graphed as a straight line, as long as it isn't vertical.
PLS HELP ME ITS DUE AT 4
Explain why these two equations are different
5(x+4)=60 and 5x+4=60
Step-by-step explanation:
When you use the distributive property, you multiply everything inside the parentheses by the number outside of the parentheses. When you distribute, the equation becomes 5x+20=60 vs 5x+4= 60. Hope this helps!
Los ángulos a y b son complementarios sabiendo q a es =60 grados indique cuanto mide el ángulo b
3 out of 12 candies are orange. In a bag of 100, about how many candies are orange?
Answer:
88 is the answer
Step-by-step explanation:
How?
Like this...
3 out of 12 candies are orange, then how many candies are orange?
100 - 12 = 88If you are not sure .. you can also verify your answer by this
12 + 88 = 100It means that your answer which is coming 88 is absolutely correct!2. Jeremy drinks 2 pints of milk every 3 days. How much milk would
Jeremy drink in 60 days? *
Answer: 40
Step-by-step explanation: 60/3= 20 20x3= 60 20x2=40
4. JKLM is a parallelogram. Find JM.
J
к
8x + 4
4x + 20
M
L
Answer:
36
Step-by-step explanation:
8x + 4 = 4x + 20
8x - 4x = 20 - 4
4x = 16 divide both sides by 4
x = 4 and JM = 8x + 4 replace x with 4
8×4 + 4 = 36
Answer:
36
Step-by-step explanation:
8x + 4 = 4x + 20 ( being opposite sides of parallelogram)
8x - 4x = 20 - 4
4x = 16
x = 16 / 4
x = 4
JM = 8x + 4
=8 * 4 + 4
= 32 + 4
= 36
Hope it will help :)
Find the value of x. Then find the measure of each labeled angle.
Answer:
x = 111
Step-by-step explanation:
x + x - 42 = 180 {Lines are parallel. So, they are supplementary}
2x - 42 = 180
Add 42 to both sides
2x - 42 + 42 = 180 + 42
2x = 222 {Divide both sides by 2}
x = 222/2
x = 111
A dress that regularly costs $85 is on sale for $40. What is the percen
markdown?
Answer:
53%
Step-by-step explanation:
Use percent decrease formula.
= 85-40/85
= 45/85
≈ 0.53
= 0.53 * 100%
= 53%
Best of Luck!
On many cell phones with GPS, an approximate location can be given before the GPS signal is received. This is done by a process called triangulation, which works by using the distance from two known points. Suppose there are two cell phone towers within range of you, located 3000 feet apart along a straight highway that runs east to west, and you know you are north of the highway. Based on the signal delay, it can be determined you are 2050 feet from the first tower, and 1420 feet from the second. Determine the angle, \thetaθ, between your line of sight to the first tower and the highway to the nearest tenth of a degree. (A calculator is needed for this question)
========================================================
Explanation:
Refer to the diagram below.
If we focus on triangle ACD, then we can use the pythagorean theorem to say
d^2 + m^2 = 2050^2
d^2 = 2050^2 - m^2
Now if we focus on triangle DCB, we can also use the pythagorean theorem to say
d^2 + n^2 = 1420^2
2050^2 - m^2 + n^2 = 1420^2 ...... replace d^2 with 2050^2 - m^2
n^2 - m^2 = 1420^2 - 2050^2
n^2 - m^2 = -2,186,100
--------------------------
In the diagram, I set up m and n such that m+n = 3000. This solves to n = 3000-m
We can then say
n^2 - m^2 = -2,186,100
(3000-m)^2 - m^2 = -2,186,100
m^2 - 6000m + 9,000,000 - m^2 = -2,186,100
-6000m + 9,000,000 = -2,186,100
-6000m = -2,186,100 - 9,000,000
-6000m = -11,186,100
m = (-11,186,100)/(-6000)
m = 1864.35
--------------------------
We now have enough to find angle theta, which is the angle between segments AC and AD (the line of sight to the first tower and the highway lines respectively)
We'll focus entirely on triangle ACD
cos(angle) = adjacent/hypotenuse
cos(A) = AD/AC
cos(theta) = m/2050
cos(theta) = 1864.35/2050
cos(theta) = 0.90943902439024 which is approximate
theta = arccos(0.90943902439024)
theta = 24.572056388088
theta = 24.6 degrees
Make sure your calculator is in degree mode. One way to check is that cos(60) should evaluate to 0.5
A jar contains 4 red marbles, 8 blue marbles, and 2 green fond the probabillity of picking a red marbles, replacing the item, and then picking a blue marble?
Answer:
8/49
Step-by-step explanation:
Given data
Sample space
4 red marbles
8 blue marbles
2 green
Sample size
4+8+2 = 14
Pr(picking a red)
Pr(red)= 4/14= 2/7
With replacement
Pr(picking a blue)
Pr(blue)= 8/14= 4/7
Hence the probability of picking a red marble, replacing the item, and then picking a blue marble
= 2/7*4/7
= 8/49
What is the distance between the points (0,0) and (6,8)
Answer:
(6,8)
Step-by-step explanation:
6 to the left and 8 up
Answer:
i think its its 8 squares north but ion know nothing about this.
Step-by-step explanation:
PLZ HELP I HAVE NO CLUE WHAT TO DO
Answer:
142 cm^2
Step-by-step explanation:
2(L*H)+2(L*W)+2(W*H)=SA
7*3=21
21*2=42
7*5=35
35*2=70
5*3=15*2=30
30+70+42=142
Triangle Sum Practice - Digital
Find the value of x, and then use that value to determine each angle measure of the triangle.
Complete the statement. Round to the nearest hundredth if necessary.
7 gal = c
PLZZZZZZZ
IM AWARDING POINTS AND BRAINLIEST ITS DUE ASAP
The expression (3x^7)^4 is equivalent to cx^n. What is the value of c?
Answer:
the answer would be c=81x^28-n I hope it helps!
Answer:
c=81x^28-n
Step-by-step explanation:
[tex]c=81x^{28-n}[/tex]
In the following picture ABCD ~ AEFG.
Which equation can be used to find the value of x?
Using the picture above, find the value ofr. Round to the nearest tenth plssssi need helpppppp
Answer:
11.4
Step-by-step explanation:
Since this triangle is a right triangle, we can solve using SOHCAHTOA.
Our angle is 25 degrees and the given hypotenuse length is 27. So, the best trigonometry equation to use would be sine, since it includes the hypotenuse and the opposite side, which is the r length that we are looking for.
Through SOHCAHTOA, sin 25° = [tex]\frac{opp}{hyp}[/tex]
sin 25° = [tex]\frac{r}{27}[/tex]
r = 27 (sin 25°)
Using a calculator, 27 (sin 25°) ≈ 11.4
What is the solution to this system of equations using elimination. -7x -8y =9 and -4x + 9y = -22
Answer:
x = 1
y = -2
Step-by-step explanation:
We have the system of equations:
-7*x - 8*y = 9
-4*x + 9*y = -22
To solve this type of system, we need to start by isolating one of the variables in one of the equations.
I will isolate the variable x in the first equation to get:
-7*x - 8*y = 9
-7*x = 9 + 8*y
x = (9 + 8*y)/(-7)
x = -(9 + 8*y)/7
Now we can replace this in the other equation to get:
-4*(-(9 + 8*y)/7) + 9*y = -22
And now we can solve this for y, we will get:
(4/7)*(9 + 8*y) + 9*y = -22
(4/7)*9 + y*(9 + 8*(4/7)) = -22
y*(63/7 + 32/7) = -22 - (36/7)
y*(95/7) = -(22*7/7) - (36/7)
y = (7/95)*(-(22*7/7) - (36/7)) = (-22*7 - 36)/95 = -2
y = - 2
Now we can replace this in the equation x = (9 + 8*y)/(-7) to find the value of x:
x = (9 +8*(-2))/(-7) = 1
Then the solution for the system is the pair (1, -2)
That means:
x = 1
y = -2
Help me answer this. thx
Step-by-step explanation: