Answer:
-5
Step-by-step explanation:
-3+-2=-5
this is the answer
17. The hourly temperature at Portland, Oregon, on a particular day is recorded below.
1 A.M. 2 3 4 5 6 7 8 9 10 11 12 Noon
46° 44° 43° 41° 40° 40° 41° 43° 46° 52° 65° 69°
1 P.M. 2 3 4 5 6 7 8 9 10 11 12 Midnight
72° 74° 75° 75° 77° 75° 74° 70° 62° 55° 51° 48°
a. Find the amplitude of a sinusoidal function that models this temperature variation.
b. Find the vertical shift of a sinusoidal function that models this temperature variation.
c. What is the period of a sinusoidal function that models this temperature variation?
d. Use t = 0 at 5 P.M. to write a sinusoidal function that models this temp. variation.
e. What is the model’s temperature at 10 A.M.? Compare this to the actual value?
Answer:
a. Amplitude: 19.65446
b. Vertical Shift: 58.00713
c. Period: 2/0.22797 = 27.56146
d. 19.65446 * sin(0.22797x + 1.79552) + 58.00713
e. Model's Temperature at 10 A.M.: f(-7) = 61.91
This value is 9.91 degrees higher than the actual value.
Step-by-step explanation:
With 1 am being timed as t = 1, we fitted the temperature data collected at different points during the day in Portland, Oregon using sine regression. After receiving the sine function, we respond to the many questions connected to the sine function's properties.
What is sinusoidal Function?A smooth, repeating oscillation characterizes a sinusoidal function. Sine is an oscillation that is smooth and repeated, thus the name "sinusoidal." A pendulum swinging, a spring bouncing, or a guitar string vibrating are a few examples of commonplace objects that may be described by sinusoidal functions.
Given, The hourly temperature at Portland, Oregon, on a particular day is recorded.
Using sine regression on the given data with t = 1 being the hour 1 am etc, we get the following sine regression formula using the TI-83 Graphing Calculator where T is the temperature:
T = a sin(bt + c) + d
Where a = 19.65, b = 0.28, c = -2.93, d = 58.01
From the sine regression function above:
a. The amplitude of the sinusoidal function is a = 19.65.
b. The vertical shift is d = 58.01.
c. The period is 2*pi /b = 2*pi/ 0.28 = 22.44
d. At 5 PM, the time value is t = 17. Hence the temperature distribution with 5 PM being t = 0 will be
t = asin[b(t - 17) + c] +d.
e. From the table, at 10 AM, the actual value of the temperature is 52 degrees.
Using the model in part a., at 10 AM, with t = 10, the temperature will be
T = a sin(10b + c) + d
T = 55.46 degrees
Learn more about sinusoidal functions here:c. The period is
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Complete question:
Which of the following is not one of the Greek roots explored in this unit?
a. sin
C syn
b psyche
d. neuron
Please select the best answer from the choices provided
Answer:
Its A >_<Step-by-step explanation:
Answer:
A
Step-by-step explanation:
light travels 3 x 10^5 kilometers in one second. how far does it travel in 7.6 seconds?
Answer:
1800000 kilometers
Step-by-step explanation:
i think im not 100% sure
Help me plz
It’s 8th grade math
And ion know what the answer is..
Answer:
B slope = 1 and y intercept is 3
Step-by-step explanation:
The y intercept is where the line crosses the y axis (x is zero).
The slope can be figured by how far the line rises and runs to the next intersection of lines. In this case it goes up 1 and to the right 1. The slope would be 1/1 or 1
Answer:
Slope =1 ; Y-intercept=3
Step-by-step explanation:
The y intercept would be the point on the vertical line that touches the graph which in this case is three.
then to get to the next point that's on the line would have to move over 1 once to the right and one time up. so the slope is 1 over 1 which would equal 1.
Who’s good at 11 grade math pleasee help me comment o this :(
If jake had 2 apples and Albert ate 1 how many apples are left?
what type of number is -16 square root
Answer:
Irrational Number
Step-by-step explanation:
The irrational numbers are those that cannot be expressed as a ratio of two integers. Examples are as well as the square roots of many other numbers, and special numbers like e and π. It turns out that there are as many irrational numbers as rational. Irrational numbers have no exact decimal equivalents.
Hope this helps (:
Answer:
Irrational number
Step-by-step explanation:
i had it on khan academy
hurry i'm doing a test so
what is the value of x in the equation 5.5x = 17.6?
Answer:
x=3.2
Step-by-step explanation:
Answer:
x=3.2
Step-by-step explanation:
Divide each term by 5.5 and simplify.
x = 3.2
A writer gets paid a writer's fee of $3000 plus
$1.50 for each copy of the book that is sold. Create
a function rule for this situation.
Answer:
y = 1.50x + 3000
Step-by-step explanation:
The sum of two numbers is 64 and the difference is 6. What are the numbers?
Larger number:
Smaller number:
x
?
Check
© 20
o
a
Tyne here to search
Answer:
29 and 35
Step-by-step explanation:
x+y=64
x-y=6
Solve by substitution.
x=6+y
6+y+y=64
6+2y=64
y=29
Then plug in 29 for y.
x+29=64 ......35
The two numbers that have a sum of 64 and a difference of 6 will be 29 and 35.
What is the solution to the equation?The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.
The sum of the two numbers is 64 and the difference is 6.
Let the two numbers be 'x' and 'y', and y is greater than x. Then the equations are given as,
x + y = 64 ...1
y - x = 6 ...2
Add both equations, then we have
y + y = 64 + 6
2y = 70
y = 35
Then the value of 'x' will be given as,
x + 35 = 64
x = 29
The two numbers that have a sum of 64 and a difference of 6 will be 29 and 35.
More about the solution of the equation link is given below.
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Please help me............
Answer:
85°
Step-by-step explanation:
180° - (67°+28°) =p
180°- 95° = p
P = 85°
the product of 9 and the sum of a number z and 4
hello I need help on it pls
Answer:
19.5
Step-by-step explanation:
67
Name
_Michael Goodger Lesson 4 Homework
1.Convert and write an equation with an exponent.
A. 2 meters to centimeters
2m = 200 cm
2 x 10 = 200
B. 108 centimeters to meters 108 cm = 1 m
1.08% 101=108
C. 2.49 meters to centimeters 2.49 m = 249
cm
2.49x 103= 249
D. 50 centimeters to meters 50 cm = 1 m
50x1=50
E 6.3 meters to centimeters 6.3 m = 63 cm
6.3x63=63
F 7 centimeters to meters Icm = _
m
In the space below, list the letters of the problems where smaller units are converted to larger units.
2. Convert using an equation with an exponent. Use your meter strip when it helps you.
a. 4 meters to millimeters
mm
b. 1.7 meters to millimeters
mm
1050 millimetorn
m =
m =
Answer:
Step-by-step explanation:
1)
A. 2 meters to centimeters
1 m = 100 cm
[tex]2 m = 2 \times 100 \\2 m = 200 cm = 2 \times 10^2[/tex]
B)108 centimeters to meters
100 cm =1 m
[tex]1 cm = \frac{1}{100} m \\108 cm = \frac{108}{100}=108 \times 10^{-2} m[/tex]
C)2.49 meters to centimeters
1 m = 100 cm
[tex]2.49 m = 2.49 \times 100 = \frac{249}{100} \times 100 = 249 cm[/tex]
D)50 centimeters to meters
100 cm = 1m
[tex]1 cm = \frac{1}{100} m \\50 cm = \frac{50}{100}= 5 \times 10^{-1} m[/tex]
E)6.3 meters to centimeters
1 m = 100 cm
[tex]6.3 m = 6.3 \times 100=\frac{63}{10} \times 100 = 630 cm[/tex]
F)7 centimeters to meters
100 cm = 1 m
[tex]1 cm = \frac{1}{100} m\\\\7 cm = \frac{7}{100} = 7 \times 10^{-2} m[/tex]
2)
a)4 meters to millimeters
1 m = 1000 mm
[tex]4 m = 4000 = 4 \times 10^3 mm[/tex]
b)1.7 meters to millimeters
1 m = 1000 mm
[tex]1.7 m = 1.7 \times 1000= \frac{17}{10} \times 1000=17 \times 10^2 mm[/tex]
Please help
Trying to help daughter do virtual. And I stink in this stuff!
w(t) = 3t – 1; t = 5
HELP : calculating slope between two points.
Answer:
(1.)3.5 (2.)-3 (3)0
Step-by-step explanation:
if right comment please
Two times the reciprocal of a number equals 16 times the reciprocal of 20. Find the number. (1 point)
Let the number be x .
Reciprocal of x :-
[tex] = \frac{1}{x} [/tex]
An equation to find x :-
[tex]2 \times \frac{1}{x} = 16 \times \frac{1}{20} [/tex]
[tex] \frac{2}{x} = \frac{16}{20} [/tex]
[tex]16 \times x = 20 \times 2[/tex]
[tex]16x = 40[/tex]
[tex]x = \frac{16}{40} [/tex]
[tex]x = \frac{4}{10} [/tex]
[tex]x= \frac{4 \div 2}{10 \div 2} [/tex]
[tex]x = \frac{2}{5} [/tex]
Reciprocal of x :-
[tex] = \frac{5}{2} [/tex]
Which means the number :-
[tex] = \frac{5}{2} [/tex]
We can check it by :-
[tex]2 \times \frac{2}{5} = \frac{16}{20} [/tex]
[tex] \frac{4}{5} = \frac{16}{20} [/tex]
[tex] \frac{4}{5} = \frac{16 \div 4}{20 \div 4} [/tex]
[tex] \frac{4}{5} = \frac{4}{5} [/tex]
LHS = RHS
Which means we have found the correct number .
Therefore , the value of the number , whose reciprocal multiplied by 2 gives 16 times the reciprocal of 20 is :-
[tex] = \frac{5}{2} [/tex]Point is plotted at 30.05 on a number line which describes the location point
Answer:
Step-by-step explanation:
A point is plotted at 30.05 on a number line. Which of the options describes the location point?
There are no options to choose from but below is the description of the location point:
30.05 units to the east of the center of the number line. The center of the number line is point zero (0) and separates the negative side from the positive side. 30.05 is on the positive side.
Answer:
between 30 and 31
Step-by-step explanation:
A recipe asks that the following three ingredients be mixed together as follows: add 1/2 of a cup of flour for every 1/2 of a teaspoon of baking soda, and every 1/4 of a teaspoon of salt.
Which of the following rates are unit rates equivalent to the ratios shown above? Select all that apply.
Answer:
Option 2: 1 teaspoon of baking soda per 1 cup of flour
Option 3: ½ teaspoon of salt per 1 teaspoon of baking soda
Step-by-step explanation:
The recipe has 3 ingredients mixed in the following ratio =>
½ of a cup of flour : ½ of a teaspoon of baking soda : ¼ of teaspoon of salt
Let's analyse each given options to see which rate is correct or not using the above ratio that makes a recipe:
Option 1 => 2 teaspoon of salt : 1 teaspoon of baking soda.
¼ salt : ½ baking soda
2 salt : x baking soda
Thus, ¼ / ½ = ²/x
Cross multiply
¼*x = ½*2
x/4 = 1
x = 4
Therefore, 2 teaspoon of salt will need 4 teaspoon of baking soda not 1.
Option 2 => 1 teaspoon of baking soda : 1 cup of floor.
½ baking soda : ½ flour
1 baking soda : x flour
Thus, ½ / ½ = ¹/x
Cross multiply
½*x = ½*1
x/2 = ½
Multiply both sides by 2
x = ½*2
x = 1
Therefore, 1 teaspoon of baking soda will need 1 cup of floor. This is correct.
Option 3 => ½ teaspoon of salt : 1 teaspoon of baking soda.
¼ salt : ½ baking soda
½ salt : x baking soda
Thus, ¼ / ½ = ½/x
Cross multiply
¼*x = ½*½
x/4 = ¼
Multiply both sides by 4
x = ¼*4
x = 1
Therefore, ½ teaspoon of salt will need 1 teaspoon of baking soda. This is correct.
Option 4 => 1 teaspoon of baking soda : 2 teaspoon of salt.
½ baking soda : ¼ salt
1 baking soda : x salt
Thus, ½ / ¼ = 1/x
Cross multiply
½*x = ¼*1
x/2 = ¼
Multiply both sides by2
x = ¼*2
x = ½
Therefore, 1 teaspoon of baking soda will need ½ teaspoon of salt not 2.
Option 5 => 2 teaspoon of salt : 1 cup of flour
¼ salt : ½ flour
2 salt : x flour
Thus, ¼ / ½ = ²/x
Cross multiply
¼*x = ½*2
x/4 = 1
x = 4
Therefore, 2 teaspoon of salt will need 4 cup of flour not 1.
The correct options are option 2 and option 3.
ax+by=c
solve for equation for y
Answer:
[tex]y=\frac{c}{b}-\frac{ax}{b}[/tex]
Step-by-step explanation:
[tex]ax+by=c\\ax+by-ax=c-ax\\by=c-ax\\by/b=(c-ax)/b\\y=\frac{c-ax}{b} \\y=\frac{c}{b}-\frac{ax}{b}[/tex]
Find the slope of the line
Answer:
3/5
Step-by-step explanation:
m = change in y / change in x
m = 3 / 5
I need help please
Answer:
Step-by-step explanation:
7) ∠1 + 30 = 180 {linear pair}
∠1 = 180 - 30
∠1 = 150
8) ∠2 = 30 {Vertically opposite angles are congruent}
9) In ΔLMN,
∠L + ∠N + ∠M = 180 {angle sum property of triangle}
50 + 30 + ∠M = 180
80 + ∠M = 180
∠M = 180 - 80
∠M = 100°
10) Sum of exterior angle of a triangle equals to sum of opposite interior angles.
∠B + ∠A = ∠BCD
30 + ∠A = 80
∠A = 80 - 30
∠A = 50
8 groups of ___ hundredths is 0.32
Answer:
the answer is 0.4 The reason is because 0.4 x8=0.32
Step-by-step explanation:
Please help :))
i know some off yall are smart so, it would be amazing.
Answer:
The correct answer is c.
Step-by-step explanation:
Hope I helped.
1) If a bookshelf is 28 inches long, how many 1 inch books will fit on the bookshelf?
Answer:
28
Step-by-step explanation:
28/1 = 28
use the graph if y=f(x) below to find f(4)
Answer:
there is no graph. can you edit the question?
Answer:
Ok:
Step-by-step explanation:
Welp, I don't see the graph but I can tell you what to do. You find x = 4, and draw a vertical line up. Once your line reaches the graph, see what the y value is. If the question is nice, you should get an exact integer number
help me please !!!!!!!
Answer:
I don't see the screenshot and i'm not going to download it...
Step-by-step explanation:
yikes
Can anyone that is good at math please help me with all my math questions. I will Mark Brainliest to whomever can help. ( Just click on my name and then hit question button and you should see them all working on them and can't figure them out.
Answer:
i will
Step-by-step explanation:
You can buy a pack of 12 batteries
for $6. What is the unit price?
Answer:
Each battery costs .5 dollars or 50 cents
Step-by-step explanation:
6/12=.5
Answer:
total units 12
cost per unit $ 0.5000
Step-by-step explanation:
Hope this helps! :)
HELP ASAP
What is the value of x?
O x = 55°
O x = 60°
O x = 70°
O x = 110°
Answer:
the answer is the answer the answer is x=55 degrees because the angle sum for a triangle is 180 degrees and because we are told angle A and angle C are congruent that means you can simply take 180 - 70 to get 110 and i simply divided that by 2 and got 55 degrees
Step-by-step explanation: