Mr. Thompson sold 4 vacuum cleaners in the first month. In the second month, he sold 3 times as many vacuum cleaners as the first month. In the third
month, he sold 5 times as many vacuum cleaners as the first month.
a. How many vacuum cleaners did Mr. Thompson sell in the three months?
bers
Mr. Thompson sold ____
vacuum cleaners in the three months.
b. He sold the vacuum cleaners for $435 each. How much money did Mr. Thompson earn? (Be sure to put a comma in your answer.)
bers
Mr. Thompson earned $ ________
Answer: $15,660 & 32 v.c
Step-by-step explanation:
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:
if caramel is put onto a sphere-shaped apple such that the surface area increase at a rate of 10 cm2/min, find the rate at which the diameter increases when the diameter is 15cm
Answer:
The diameter will increase at a rate of 1/30π cm/min
Step-by-step explanation:
Here we want to calculate the rate at which the diameter will increase
Mathematically, the area of a sphere is given as;
A = 4πr^2
But r = d/2
so A = 4 * π * d/2 * d/2 = πd^2
dA/d(d) = 2πd
Thus dd/dA = 1/2πd = 1/2 * π * 15 = 1/30π
Given dA/dt = 10
Mathematically;
d(d)/dt = d(d)/dA * dA/dt
dd/dt = 1/30π * 10 = 10/30π = 1/3π cm/min
Factor out the coefficient of the variable term. The expression 1/7a + 1/7 factored is___
Answer:
17 and [a+1] is the factor
Step-by-step explanation:
Given:
1/7a + 1/7
Find:
Factor
Computation:
1/7a + 1/7
By taking 1/7 as a common
1/7[a+1]
So,
17 and [a+1] is the factor
The coefficient of the variable term in factored form is; 1
The given expression is;
(1/7)a + 1/7
Now, we want to factorize this and this means that we will bring out the common factor of both terms.
The common factor of both terms is 1/7. Thus, we have;
(1/7)(a + 1)
The variable term is a and as such we see that it's coefficient inside the bracket is 1.
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Can you help me solve this
Answer:
A number that is 10x greater than 0.03 is 0.3.
Step-by-step explanation:
Answer:
The answer is c have a nice day
There are 150 calories in 12 ounces of Dr. Pepper. How
many calories are in 8 ounces of Dr. Pepper?
Answer: 100 Ounces
Step-by-step explanation: You will have to divide 150 by 12 to see how many calories are in 1 ounce which you should get 12.5 then you multiply 12.5 by how ever many ounces you need to figure out which is 8 ounces in the problem. So in conclusion your final answer should be 100! ( If this was helpful please mark me down for brainliest) Thank you and have a great day!
Answer:1 hundo
Step-by-step explanation:
please i’ll give you brainly thingy
Answer:
it would be 12
Step-by-step explanation:
divided 12.25 by 12 and it gives you 1.0 giving you the lowest out of all of them when doing the math
Answer:
D. 12
Step-by-step explanation:
Written as a rate, 96 miles in 12 hours would be ____ miles per hour.
Answer:
8 Miles per hour
Step-by-step explanation:
Answer:
8 miles per hour
Step-by-step explanation:
miles / hr = 96/12 = 8 miles per hr
hr / mile = 12/96 = 1/8 hr per mile <==
The zeroes of the function are:
A) -2 and 0
B) 0 and 4
C) -2, 0, and 4
Jecimals
r the course of 6 days, Tonda ran 17.22 miles. She ran the same
Clear
Undo
Redo
Answer:
potatoes
Step-by-step explanation:
Help me- 3.4 + 12a / 4 for a = 10
What do you think about raising the minimum wage? What do you think would be some negative outcomes of raising the minimum wage? What are some positive outcomes of raising the minimum wage
Take your time.
Find the quotient:
-37.44 ÷ 4.8
Options
1. -9.2
2. -7.8
3. 5.8
4. 7.8
Check reasonableness by estimating:
-37.44. 4.8
Options Options
1. -38. 1. -5
2. -35. 2. -4
3. 30. 3. 4
4. 38. 4. 5
Estimated quotient:
Options
1. -10
2. -7.6
3. -5
4. 7.6
Answer:
1. 7.8.
2. 38. 4.5
3. 7.6.
Find the Sum:
(20 - 6) + 3(c + 8)
Answer:
38 + 3c
Step-by-step explanation:
Apply the distributed property: (20 - 6) + 3c + 2420 - 6 = 14Plug 14 in: 14 + 3c + 24Combine like terms: 38 + 3cI hope this helps!
A backpack costs $18 and has a 7 percent tax. How much will Sheila have to pay for the backpack after tax?
O $1.26
O $5.40
O $19.26
O $30.60
Answer:
1
Step-by-step explanation:
1.26
What is the y intercept of the line graphed on the grid? (-6, -8) (2,-2)
Did this today on a test lol.
(0,-7/2)
(01.02 MC)Which number line shows the solution to −6 − (−2)?
A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to negative 4 is shown.
A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to negative 6 is shown. Above this, another arrow pointing from negative 6 to negative 8 is shown.
A number line is shown from negative 10 to 0 to positive 10. There are increments of 2 on either side of the number line. The even numbers are labeled on either side of the number line. An arrow pointing from 0 to 6 is shown. Above this, another arrow pointing from 6 to 4 is shown.
Given:
The expression is
[tex]-6-(-2)[/tex]
To find:
The solution of given expression on the number line.
Solution:
We have,
[tex]-6-(-2)=-6+2[/tex]
[tex]-6-(-2)=-4[/tex]
So, the solution is -4.
Start from point 0, then use arrow to jump on -6 then use another arrow to jump 2 units right, as (-)(-)=(+) and positive sign means jump towards positive direction.
On the number line,
1. An arrow pointing from 0 to negative 6.
2. Another arrow pointing from negative 6 to negative 4.
Therefore, the correct option is A.
Answer:
what he say yeah
Step-by-step explanation:
I thought of a two-digit number. The unit digit of my number is 7 more than the tens digit cubed. What is my number?
Answer:
18
Step-by-step explanation:
The tens digit a is cubed (a³ ) still less than the biggest possible 1 -digit number . It can be only 0 or 1 , so even 2³ =8 ( in such case the unit digit is 15,- that's not possible) .
0 can not be the the first digit in 2 digit number. So the only possible tens digit is 1. So the unit number is 1+7=8.
Answer 18
Answer:
18
Step-by-step explanation:
If one root of the equation
Answer:
Where is the question...
Dewayne has $20 dollars for the weekend. He spent 3/5 of his money at the movies and 1/3 of his money bowling. How
much money does he have left over after the weekend?
In the accompanying diagram, line a intersects line b.
Answer:
C. 10
Step-by-step explanation:
[tex] (x + 5) = (2x - 5) [/tex] (vertical angles are congruent)
[tex] x + 5 = 2x - 5 [/tex]
Add 5 to both sides
[tex] x + 5 + 5 = 2x [/tex]
[tex] x + 10 = 2x [/tex]
Subtract x from both sides
[tex] 10 = 2x - x [/tex]
[tex] 10 = x [/tex]
[tex] x = 10 [/tex]
The price of a pack of steaks increased from $15 to $21. By what percentage did the price of the pack of steaks increase?
Step-by-step explanation:
21 - 15 = 6$
you have to find how many percent is 6$ in 15$
6 ÷ 15 = 0.4
15 × 0.4 (40/100)
= 6
40 percent
Which of the following numerators would appear in the numerator of the quadratic formula when solving the following equation? 2x 2 + 5x - 12 = 0
Explain why having low statistical power could be considered a limitation for a statistical tost
Answer:
Low statistical power could be considered a limitation in statistics because statistical power refers to the probability of correctly finding adequate support for a research hypothesis.
If a statistical test has low power, then it is limited in finding adequate support.
PLEASE QUICK BRAINLISET
Answer: the answer is f
Answer:
F
Step-by-step explanation:
the measure of angle one must be equal to the measure of angle five and when doing the math I got x=34 plug that into the equation for angle five i got 48 and the same for plugging it into the equation for angle one.
A machine is used to fill 1-liter bottles of a type of soft drink. We can assume that the output of the machine approximately follows a normal distribution with a mean of 1.0 liter and a standard deviation of .01 liter. The firm uses means of samples of 25 observations to monitor the output, answer the following questions: Determine the upper limit of the control chart such that it will include roughly 97 percent of the sample means when the process is in control
Answer:
1.00434
Step-by-step explanation:
Given the following :
Given a normal distribution ;
Mean (m) = 1.0 liter
Standard deviation (σ) = 0.01 liter
Sample size (n) = 25
For 97% sample means (sm) = 0.97
Z = (m - sm) / s
Zcrit = 1 - (100% - 97%)/2
Zcrit = 1 - (0.03/2)
Zcrit = 1 - 0.015 = 0.985
The z score which corresponds to 0.985 = 2.17
Upper limit : m + z*(σ/√n)
Upper limit : 1.0 + 2.17*(0.01/√25)
Upper limit : 1. 0 + 2.17*(0.01/5)
= 1.0 + 2.17*0.002
= 1.0 + 0.00434
= 1.00434
0.079times what equals 7.9
Answer:
100
Step-by-step explanation:
What is the measure of BDC
Answer:
105 degrees
Step-by-step explanation:
180 - 75 = 105
Ellie bakes 12 muffins everyday since Monday. Jacob said that on Friday, she would be able to bake 72 muffins in total. Is Jacob right? Yes or no, explain. :)
Who can help me with 9th grade math and got zoom?
Answer:
Me, I'm in 12th grade so sure. ^‿^
Step-by-step explanation:
