plz help will give wut i got (as in points)
Temperature in the desert can be modeled by the function C(t), where t represents hours after midnight (0 ≤ t ≤ 24), and C is the temperature measured in degrees Celsius. Examine what happens to the graph when you transform the function to degrees Fahrenheit.
Circle the desert you picked:
Sahara Desert Patagonian Desert Death Valley California
Exploring Degrees Celsius
1. Fill out the following chart to find the temperatures for t = 12 (noon) and t = 24 (midnight). (2 points: 1 point for each row)
t C(t) = –0.30(t – 12)2 + 40
0
12
24
2. Plot the three points from the chart onto the graph below. Use the plotted points to sketch the graph of C(t) = –0.30(t – 12)2 + 40. (3 points: 2 points for correct coordinates, 1 point for correct shape)
Convert the Function to Degrees Fahrenheit:
3. Suppose you want to represent the desert temperature in degrees Fahrenheit instead. How would you transform the function C(t) to make the new function, F(t)? (2 points: 1 point for each transformation)
Note: The conversion rule for Celsius to Fahrenheit is .
4. Take your values from the previous chart (in question 2) and convert them from Celsius to Fahrenheit. Follow the example below, and use the conversion rule to fill out the chart for degrees Fahrenheit when t = 12 and t = 24. (2 points: 1 point for each row)
t
0
12
24
5. Use the conversion formula to write the equation for the new function, F(t).
(4 points: 2 points for setting up the equation, 2 points for the answer)
Hint: Substitute the equation for C(t) into .
6. Plot the points from the Fahrenheit chart in question 4 onto the graph below. Use the plotted points to sketch out the graph of F(t). (3 points: 2 points for correct coordinates, 1 point for correct shape)
7. Compare the graph in question 6 (F(t)) with the graph in question 2 (C(t)). What changes were made to the graph of C(t) to transform it to F(t)? (1 point)
Answers
Answer:
Part 1
Given equation:
C(t) = -0.30 (t – 12)² + 40For t = 0
C(t) = -0.30 (0 - 12)² + 40 C(t) = -0.30 (-12)² + 40 C(t) = -3.2For t = 12 (noon)
C(t) = -0.30 (12 - 12)² + 40 C(t) = -0.30 (0)² + 40 C(t) = 40For t = 24 (midnight)
C(t) = -0.30 (24 - 12)² + 40 C(t) = -0.30 (12)² + 40 C(t) = -0.30 × 144 + 40 C(t) = - 43.2 + 40 C(t) = -3.2Part 2
attached below
Part 3
C(t) = –0.30(t – 12)² + 40 F(t)=9/5C(t)+32Substituting the values:
F(t)=9/5{–0.30 (t – 12)² + 40}+32 F(t) = -0.54 (t – 12)² + 72 + 32 F(t) = -0.54 (t – 12)² + 1045, 6 and 7, should be simplish
good luck, i hope this helps :)
Answer:
problems 4,5,6,7 (make sure you add °C to the answers given in step one above) *note, these answers given in both answers could be used for any of the deserts chosen, they all have the same formula given.
Step-by-step explanation:
4) box 12
(12,40)
f(12)= 9/5 (40)+ 32
f(12)= 72 +32
f(12)= 104 ° F
box 24
(24, -3.2)
f(24)= 9/5 (-3.2) +32
f(24) = -5.76 +32
f(24)= 26.24 °F
5.
substitute the given C(t) equation into the conversion formula
F(t)= 9/5C(t)+32.
We know from the information given that C(t)=−0.30(t−12)^2 +32
to solve:
F(t)= 9/5[−0.30(t−12)^2+40]+32
F(t)=1.8(−0.3t^2+7.2t−3.2)+32
F(t)=−0.54t^2+12.96t−5.76+32
F(t)=−0.54t^2+12.96t+26.24
6.
on the graph plot the three points (0,-0.32), (12,104), (24,-0.32)
It draw the lines to connect the bottom two points to 12, 104, It should look like upside down V but curved softer like the graph in answer number 2.
7. The changes made to the graph of C(t) to transform it to F(t) was changing the noon temperature (plot point) from 40° C to 104° F. It increased the steepness of the graph.
Related Questions
Mario spent $5.86 for a drink and a sandwich. His drink cost $1.34. How much did Mario spend on the sandwich. Create and solve an equation that represents this situation.
I think i got an answer but i want to make sure its correct
Answers
Answer:
$5.86 - $1.34 = $4.52
Step-by-step explanation:
Answer:
4.52 for the sandwich. I hope this helps!
PLZ HELP ME :( you can pick both neither of one of the triangles
Answers
Answer:
a and B are same
Step-by-step explanation:
just imagine in your brain you flip the triangles so the A and B both look the same. Dont they?
Find the area of the rectangle:
Answers
Answer:
23.74 ft² is the answer
Step-by-step explanation:
Area of a rectangle = l × b
(8 + √3) × √6
(8 + 1.73) × 2.44
9.73 × 2.44
23.74 ft²
Write an equation and slope intercept form of the line that passes through the given points
Answers
Answer:
y = 2x+5
Step-by-step explanation:
What is the distance from the origin to point A graphed on the complex plane below?
Answers
A chef cooked vegetables for 22 customers. The chef cooked 1/3 pound of potatoes and
1/4 pound of green beans for
each customer.
How many pounds of vegetables did the chef cook for these customers all together?
Answers
Answer:
The chef cooked 1/3 pound of potatoes and
1/4 pound of green beans for
each customer.
so. Sum of all vegetables for one customer = 1/3 pound of potatoes + 1/4 pound of green beans
= 1/3 + 1/4 pound
= 7/12 pound
so. Sum of all vegetables for 22 customer = (7/12 pound ) 22
= 22/12 pound
= 11/6 pound
Step-by-step explanation:
Simplify by combining like terms.
3x + 4y − 2y + 7x
options:
4x + 6y
10x + 2y
10x + 6y
2y + 4x
Answers
Answer:
10x + 2y is your expression if you combine like terms.
Answer:
10X+2y
Step-by-step explanation:
Find the area please!
Answers
Answer:
27 in. is the answer
Step-by-step explanation:
hope it helps
Explanation: Divide the shape into one square and one rectangle, creating two separate shapes.
Find the area of each shape by multiplying length by height.
For the square, multiply 3 x 3 = 9 in.
For the rectangle, multiply 9 x 9 = 18 in.
Next, add both solutions together to get your answer. 9 + 18 = 27 in.
The area of the figure is 27 inches.
what is the surface area of this design?
Answers
Answer:
197 in
Explanation:
6.4x5=32
9x5=45
5×5=25x4=100
5×4×0.5=10×2=20
32+45+100+20=197
Answer:
197 inches squared
Step-by-step explanation:
Break down the sides,
Side 1, (front) 5*5=25
Side 2, (slanted compound shape) break down compound into triangle and square: 5*5=25, 4*5/2=10
Side 3, (slanted compound shape) break down compound into triangle and square: 5*5=25, 4*5/2=10
Side 4, (top slanted) 6.4*5=32
Side 5, (Bottom) 5*5=25
Side 6, (Back) 9*5=45
Add all together, 25+25+10+25+10+32+25+45=197
AB is the diameter of the circle shown. The radius is 8.5 cm, and AC = 8 cm. Find the following values using the visual given below.
Answers
40) If you deposit $6000 in a bank account
with an interest rate of 5% compounded
monthly, find the balance after 6 years.
A) 4442.12 B) $8084.11
C) $8094.11 D) $7618.41
E) $4436.51
Answers
Answer:
The answer should be D
1/3 (x-10) = -4
what is x?
Answers
Answer:
x = -2
Explanation:
1/3 (x-10) = -4
(3) 1/3 (x-10) = (3) -4
x - 10 = -12
x = -12 + 10
x = -2
:))
juan drove 126 miles in 3 hours. If he continued at the same rate, how long would it take to travel 336 miles?
Answers
Answer:
8 hours
Step-by-step explanation:
First you divide 126 by 3 to get the Miles Per Hour, you should get 42 Miles Per Hour, then, just divide 336 by 42 to get the numbers of hours he will have to drive, (which is 8)
Answer:
8 hours
Step-by-step explanation:
126 miles - 3 hours
336 miles - x hours
Cross multiply
126x = 336 x 3
126x = 1008
Divide both sides by 126
x = 1008/126
x = 8
How do you do this equation?
2(m+7)= blank m+ blank
Use properties of operations to complete the equivalent expression.
Answers
Answer:
2m + 14
Step-by-step explanation:
2(m+7)
2m + 14
A four-sided sandbox has more than two right angles, two side lengths 3 ft, and two side lengths 6 ft.
What geometric shape best describes the shape of the sandbox? Use pencil and paper. Sketch the
sandbox.
Which geometric shape best describes the shape of the sandbox?
Answers
Answer:
I would say rectangle.
Step-by-step explanation:
_ _ _ more than two right angles
l l
l l
l l 6 ft
l l
l l
l l
--- --- ---
3 ft
PLEASE HELP! 15 POINTS!
ABC and is a straight line
Work out the length of AC
Give your answer to 1 decimal place
Answers
Answer:
19.2
Step-by-step explanation:
I hope it helps you.....
Answer:
AC ≈ 19.2 cm
Step-by-step explanation:
Using Pythagoras' identity in Δ BCD to find BC
BC² + BD² = DC² , that is
BC² + 12.6² = 19.3²
BC² + 158.76 = 372.49 ( subtract 158.76 from both sides )
BC² = 213.73 ( take the square root of both sides )
BC = [tex]\sqrt{213.73}[/tex] ≈ 14.62
Using the tangent ratio in Δ ABD to find AB
tan20° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BD}[/tex] = [tex]\frac{AB}{12.6}[/tex] ( multiply both sides by 12.6 )
12.6 × tan20° = AB , then
AB ≈ 4.59
Then
AC = AB + BC = 14.62 + 4.59 ≈ 19.2 cm ( to 1 dec. place )
Someone answered this question with a link that didn't work so i need help
Answers
Answer:
y=0.875x + 6
Step-by-step explanation:
Answer:
Y= 7/8X+6
Step-by-step explanation:
Good luck bro .
Can you please help me
Answers
Answer:
Q1: equal
Q2: smaller
Q3:equal
Q4 smaller
Q5: bigger
Step-by-step explanation:
Solve for x
−3x ≤−18
Answers
Answer:
x ≥ 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
-3x ≤ -18
Step 2: Solve for x
[Division Property of Equality] Divide -3 on both sides: x ≥ 6Kade has 100 flag pins. He has 221 frog pins and 10 dinosaur pins. How many flag and frog pins does Kade have?
Answers
Answer:
321
Step-by-step explanation:
because 100+221 equals 321
Hope this helped.
$6.00+$8.00 =
answer
Answers
Answer:
14,00
Step-by-step explanation:
14 bru
Add.
58+28
Item 19
Which number is prime?
4
9
21
23
1016
78
716
18
Answers
8+8=16
5+2=7
take the 1 from 16 and add it onto the 7
1+7=8: thats the tens place.
Now we only have 6. So thats the ones place. Combine the two numbers and you get 86.
6. A leather bag is bought for Rs 18000 and sold with 15% loss. Find the selling price of the bag.
plz help
Answers
0.85=1-0.15
=18000×0.85
15300 answer
Answer:
Rs 15,300
Step-by-step explanation:
15% of 18,000 is 2700. 18,000-2700=15,300
12. Divide 2.4 ; 2= 14 1 1
Answers
Answer:
5
Step-by-step explanation:
Using the distributive property, what number goes on the line to make the equation true?
__ (3+2)= 36+24
Answers
Answer:
12
Step-by-step explanation:
__ (3+2) = 36+24
12 x 3 = 36
12 x 2 = 24
12 (3+2) = 36 + 24
The diagram shows triangle ABC.
Which statement would prove that triangle ABC is a right triangle?
a. The slope of segment AB and the slope of segment BC = 1
b. The slope of segment AB and the slope of segment BC = -1
c. The slope of segment AB is 1 and the slope of segment BC is -1
d. The distance from A to B is equal to the distance from B to C
Answers
The statement where it proved that triangle ABC is a right triangle should be option b. The slope of segment AB and the slope of segment BC = -1
Right triangle:We know that in the right triangle both the legs should be perpendicular to each other also the product of slopes of perpendicular should be - 1.
So based on this, we can say that the slope of segment AB and the slope of segment BC is equivalent to -1
Therefore, the option b is correct.
Learn more about triangle here: https://brainly.com/question/24283305
Which of the following uses the reciprocal property to rewrite x/5 = 72/4?
A. 5/x = 4/72
B. x/4 = 5/72
C. x/5 = 72/4
Answers
Answer:
I hope this helps.
Step-by-step explanation:
PLEASE HELP
I have no idea how to do this
Answers
Answer:
1st 2nd or both's answer you want
NEED HELP This is a picture of a coordinate graph.
Which ordered pair describes a point that is located 4 units to the left of the origin and 6 units below the x-axis?
(4, −6)
(6, −4)
(−4, −6)
(−6, −4
Answers
What if the driver of the Ferrari 550 was cruising along and suddenly hit the brakes to stop because she saw a cat on the road? She skidded to a stop, and fortunately, missed the cat. When she got out of the car she measured the skid marks left by the car so that she knew that her braking distance was 31 ft. How fast was she going when she hit the brakes?