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)
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.
y= -x +3 and y = x - 1
Answer:
x=2 and y=1
Step-by-step explanation:
Rewrite equations:
y=−x+3;y=x−1
Step: Solve
y=−x+3
Step: Substitute−x+3foryiny=x−1:
y=x−1
−x+3=x−1
−x+3+−x=x−1+−x(Add -x to both sides)
−2x+3=−1
−2x+3+−3=−1+−3(Add -3 to both sides)
−2x=−4−2x−2=−4−2
(Divide both sides by -2)
x=2
Step: Substitute2forxiny=−x+3:
y=−x+3
y=−2+3
y=1(Simplify both sides of the equation)
Hope this Helps you :)
answer algebra 1 problem below
Answer:
Step 1: multiply
10*10=100*10=1000*10=10000
Step 2: write 1st one out.
(8*10000)
Step 3: multiply
8*10000=80000
________________-
Step 1: multiply
10*10=100*10=1000*10=10000*10=100000*10=1000000*10=10000000*10=100000000*10=1000000000*10=10000000000*10=100000000000*10=1000000000000
step2: multiply
2*100000000000=200000000000
step 3: write it out
80000*200000000000
step 4: solve
80000*200000000000=1.6 to the power of 17
Step-by-step explanation:
so your answer is
1.6 to the power of 17
that was a lot yw
Please help me I’m begging you
Answer:
independent= f
dependent= g
Explain how to plot the point (3, -7) on the coordinate plane.
Answer:
Start at the origin to plot the point. The x-coordinate, 3, indicates that you need to move 3 units to the right. The y-coordinate, −7, indicates that you need to move down 7 units. Then plot the point.
Step-by-step explanation:
Answer:
what that person said on top thx man
Step-by-step explanation:
I WILL MAKE YOU BRAINLIEST FOR THE FIRST ONE TO SOLVE THIS FOR ME!!!
Which number is larger, A or B? Write more than a sentence to explain your reasoning.
(A) 9.675 x 10^24
(B) 1.109 x 10^28
Answer:
the answer is B
Step-by-step explanation:
when you take the first answer and subtract the second answer from it you get a negitive number of -1.1080325x10+28
0.23 is a whole number?
Answer:
0.23 is a fraction and there is no way to represent it as a whole number.
hope it helps :)
Step-by-step explanation:
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
Answer:
The answer should be D
A bus averages 2miles per hour faster than a motorcycle. If the bus travels 165miles in the same time it takes the motorcycle to travel 155miles, then what is the speed of each?
Answer:
speed of bus = 33 mi/hr
speed of motorcycle = 31 mi/hr
Step-by-step explanation:
Let the speed of the motorcycle be x mi/h.
Now, we are told that the bus averages 2 mi/hr faster than the motorcycle. Thus, speed of bus = (x + 2) mi/hr
Formula for time is; t = distance/speed
Since distance covered by bus is 165 miles, then t_bus = 165/(x + 2)
Since distance covered by motorcycle is 155 miles, then t_motorcycle = 155/x
We are told that the bus and the motorcycle used the same time to cover their respective distances. Thus;. t_bus = t_motorcycle
Thus;
165/(x + 2) = 155/x
Cross multiply to get;
165x = 155(x + 2)
165x = 155x + 310
165x - 155x = 310
10x = 310
x = 310/10
x = 31 mi/hr
Then speed of bus = 31 + 2 = 33 mi/hr
I need help with this
Answer:I don't know this one.
Step-by-step explanation:
Figure A is a scale image of Figure B.
Answer:
x = 5.4
Step-by-step explanation:
Corresponding sides are in proportion, that is
[tex]\frac{x}{7.2}[/tex] = [tex]\frac{3}{4}[/tex] ( cross- multiply )
4x = 21.6 ( divide both sides by 4 )
x = 5.4
T-3.7=1.2? What is the T? Plz help
Answer:
T = 4.9
Step-by-step explanation:
Just add 3.7 and 1.2 to get 4.9
I just need help trying to figure out what the answer is
hi please help i’ll give brainliest please
Answer:
its c
Step-by-step explanation:
Answer:
28y + 63 (second option)
Step-by-step explanation:
7(4y + 9)
7 x 4y (28y)
7 x 9 (63)
you would multiply 7 and 4y to get 28y and then multiply 7 and 9 to get 63 and you would add the plus sign to get the full answer which is 28y+63
24 divded by v + k when v = 3 and k = 12
Answer:
24÷3+12 would be 20
Step-by-step explanation:
You do 24÷3 which is 8 and then you add 12. I hope this helps!
WILL GIVE BRAINLIEST
Answer:
10
Step-by-step explanation:
5+ x= 3x - 21+6
5+21-6= 3x-x
20=2x
x=20/2
x=10
all the ways I can represent the hypotenuse of a right triangle whose legs are 12 cm and 13 cm long .
Answer:
?
Step-by-step explanation:
HELP ME BECAUSE I HAVE NO IDEA HOW TO DO THIS
Answer:
3
Step-by-step explanation:
ill reply to this gimmie a moment
Answer:
(-∞, 3] or x[tex]\leq[/tex]3
Step-by-step explanation:[tex]inf[/tex]
we treat it like a normal linear problem.
We can add 3 on both sides to get:
-10w[tex]\leq[/tex]-30
we can divide both sides by -10 to get...
w[tex]\leq[/tex]3
Or if nessessary, the interval notation is (-∞, 3]
Hope this helped!
help meeeeeee. /.............................
Answer:
1 + y < -13
Step-by-step explanation:
1 + y < -13
1 and a number, y, is less than -13
I WILL GIVE BRANLIEST HELP FAST DUE IN 10 MINS 56yx^3-32yx+16y
Answer:
8y(7x^3-4x+2)
Step-by-step explanation:
Group and factor out the greastest common factor then combine
Answer:
this is my alt here ya go champ
Step-by-step explanation:
What is an
equation of the line that passes through the points (-4,-4) and (4, 6)?
Answer:
Step-by-step explanation:
1.) Find the slope
[tex]\frac{y_2-y_1}{x_2-x_1} = \frac{6-(-4)}{4-(-4)}= \frac{6+4}{4+4} = \frac{10}{8}=\frac{5}4}[/tex] = m2.) Use the slope-point form for a line
[tex]y-y_0=m(x-x_0)[/tex]
Pick any point (-4,-4) or (4,6) into [tex]y_0 and x_0\\[/tex]
but your equation is y= 5/4x+1
please help i need answers now
Answer:
D
Step-by-step explanation:
Pretty simple question, but how the hell am I supposed to know whether to put an addition sign or a subtraction sign.
Answer:
you must remember + and + equal to minus
Select three angle measures that can represent the three angles of a triangle. Write the measures in Box A. 100 80 30 90 70 10
Answer:
some examples:
80, 30, 70
80, 10, 90
100, 70, 10
Step-by-step explanation:
angle measures must add to 180 degrees
T=Tails |0|1|2|3|
Probability |1/8|3/8|3/8|1/8|
The table and the relative-frequency histogram show the distribution of the number of tails when 3 coins are tossed. Find the probability P(T=3). Write your answer as a fraction.
Answer:
did you ever find the answer?
Step-by-step explanation:
ITS NOT C
please help though i've spent to much on this
ill mark you the brainlyest!!!
Answer:
A
Step-by-step explanation:
The two figures are proportional. Find the value of x.
Answer:
C. 30in
Step-by-step explanation:
[tex]\frac{36}{12} = \frac{x}{10}[/tex]
x = 30
Okay so HOW DO I DO THIS AND PLEASE HELP ME ASAP
The ratio of men to women working for a company is 5 to 8 . If there are 273 employees total, how many women work for the company?
Answer:
110 women, see below for explanation. (hope this helps)
Step-by-step explanation:
3 to 5
3x + 5x = 176
8x = 176
x = 176/8
x = 22
3*22 = 66 men
5*22 = 110 women
Determine if DE is parallel to AC. Show all your work!!!
24
40
E
22.5
D
15
B
Answer:
Step-by-step explanation:
We will prove the converse of the postulate,
"If a line parallel to one side of a triangle and it intersects other two sides of the triangle, then the line will divide both the sides in the same ratio"
Segment DE intersects AB and BC at D and E respectively,
Ratio of the segments of two sides,
[tex]\frac{AD}{DB}=\frac{CE}{EB}[/tex]
[tex]\frac{22.5}{15}=\frac{24}{40-24}[/tex]
1.5 = 1.5
True.
Therefore, lines AC and DE are parallel.