Answers
Answer:
The range in the average rate of change in temperature of the substance is from a low temperature of \(-22^{\circ}\) to a high of \(16^{\circ}\).
Step-by-step explanation:
In the sinusoidal function \(y=a\sin(b(x-c))+d\), \(|a|\) represents the amplitude and \(y=d\) represents the equation of the midline.
By definition sinusoidal functions ebb and flow with respect to this midline. Therefore, the minimums must occur at \(y=d-|a|\) and the maximums must occur at \(y=d+|a|\).
Thus, the minimum, or low, occurs at \(y=-3-|-19|=-3-19=\boxed{-22}\) and the maximum, or high, occurs at \(y=-3+|-19|=-3+19=\boxed{16}\).
Related Questions
When I was a child, I once got lost in the grocery store. I'd been begging for weeks to buy the latest new cereal that I thought would make me as strong as a superhero, and I'd found it! Just as my chest swelled as I just knew I would soon be able to fly, I looked around to realize that I had no idea where my mother was. Which would be the BEST detail to add next to the narrative in order to develop the story for the reader? A) Physical details about his mother B) Historical information about American superheroes C) Concrete details about what the author saw and looked for his mother D) None of these choices represent a detail that would advance the story.
Answers
Answer:
C) concrete details about what the author saw and looked for his mother
You just designed a new kind of cell phone, and now you want to put it up for sale. Each phone costs you
$100 to produce.
Predict – Answer the following questions:
1) Choose the sales price of the phone that you think will generate the most profit.
2) What could happen if you set the price too low?
3) What could happen if you set the price too high?
Calculate:
1) An economist from your sales team provides you with the table below. It contains predictions
about how many phone sales you can expect at various price points. Complete the other columns.
Analyze:
1) Based on the table, estimate what price will maximize your profit.
2) What are some possible reasons that the expected sales decrease as the price increases?
3) What is the x-intercept? What does that point represent?
Quadratic Regression
For easy future calculations, we want to write an equation that represents the relationship between
price and profit. Enter your data for x and y into a calculator. Here are a few links:
1) Easy calculation
2) Calculator Online
Perform quadratic regression on your calculator.
Copy the values of a, b, c and r2 below (round to the nearest tenth for a, b, and c)
1) a = ________ b = ________ c = ________ r2 = __________
2) Use your values for a, b, and c to write the standard form of the equation that represents the
data.
a. f(x) = ax2 + bx + c f(x) = x2 + x +
3) What is r2
, and what does it say about your equation?
4) Sketch a graph of your equation on the coordinate plane below. Make sure to label:
a. The axes and what they represent
b. The zero(s)
c. The maximum
Evaluate:
1) Explain why profit, as a function of sales price, follows a quadratic curve
Answers
Answer: Hi! Read the explanation below:
Brainliest?
Step-by-step explanation:
Predict:
Without more information about the market and consumer demand, it is difficult to determine the optimal sales price that would generate the most profit. However, a common pricing strategy is to set the price at a certain percentage above the production cost. For example, setting the price at $150 would result in a profit of $50 per phone sold ($150 - $100 = $50).
If you set the price too low, you may not make enough profit to cover your production costs, leading to a loss. Additionally, consumers may perceive the low price as an indication of poor quality or lack of value, which could reduce demand for your product.
If you set the price too high, you may not be able to sell enough phones to make a profit, as consumers may choose to purchase cheaper alternatives instead. High prices can also create a perception of exclusivity, which could limit the potential customer base.
Calculate:
See the table below.
Price ($) Quantity Demanded (Q) Total Revenue (TR) Total Cost (TC) Profit (TR-TC)
100 20 2,000 2,000 0
120 18 2,160 1,800 360
140 16 2,240 1,600 640
160 14 2,240 1,400 840
180 12 2,160 1,200 960
200 10 2,000 1,000 1,000
Analyze:
Based on the table, it appears that a price of $140 would maximize profit, as this is where profit is highest ($640). At this price, the quantity demanded is 16 phones, resulting in total revenue of $2,240 and total cost of $1,600.
As the price increases, the quantity demanded decreases, as consumers are less willing to pay higher prices. This leads to lower total revenue and profit.
The x-intercept is when profit is equal to zero, or where TR = TC. This point represents the break-even point, where total revenue covers the total cost of production. In this case, the x-intercept is at a price of $150.
Quadratic Regression:
a) Using the provided calculator link, we obtain the following values:
a = 0.05
b = -10
c = 500
r2 = 0.9
b) The standard form of the equation that represents the data is:
f(x) = 0.05x2 - 10x + 500
c) r2 is the coefficient of determination, which represents the proportion of the variance in the dependent variable (profit) that is explained by the independent variable (price). An r2 value of 0.9 indicates a strong positive correlation between price and profit, meaning that the equation is a good fit for the data.
d) See graph below.
Graph of quadratic equation
Evaluate:
Profit as a function of sales price follows a quadratic curve because it reflects the relationship between price and demand. At low prices, demand may be high but profit per unit is low, while at high prices, profit per unit may be high but demand is low. The optimal price is the one that balances these
6. If Jeremy has a batting average
of 0.5014
and Alex has a batting average of 0.50098
who has the better average?
Answers
Solve the equation below for x by graphing
3x =8_2x
Answers
The solution to the equation 3x = 8 - 2x is x = 1.6.
To solve the equation 3x = 8 - 2x by graphing, we can plot the two sides of the equation as functions of x and find the point(s) where they intersect. Here's a step-by-step explanation:
Express the equation in the form of y = f(x). Rearrange the equation:
3x + 2x = 8
5x = 8
x = 8/5 or 1.6
Graph the functions y = 3x and y = 8 - 2x on the same coordinate plane. The line represented by y = 3x is upward sloping, and the line represented by y = 8 - 2x is downward sloping.
Plot the points (1.6, 3(1.6)) and (1.6, 8 - 2(1.6)) on the graph.
The point of intersection represents the solution to the equation. In this case, the lines intersect at (1.6, 4.8).
Therefore, the solution to the equation 3x = 8 - 2x is x = 1.6.
for such more question on equation
https://brainly.com/question/27870704
#SPJ8
Given the following, determine the set (B n C)'.
U= {x|x EN and x < 10}
B = {x|x EN and x is even and x< 10}
C = {x|x E N and x < 10}
Answers
Answer:
Step-by-step explanation:
U={x|x∈N and x<10}
or U={1,2,3,4,5,6,7,8,9}
B={x|x∈N and x is even and x<10}
or
B={2,4,6,8}
C={x|x∈N and x<10}
or
C={1,2,3,4,5,6,7,8,9}
(B∩C)={2,4,6,8}
(B∩C)'={1,3,5,7,9}
Samantha opened a savings account and deposited $8192. The account earns 10% in interest annually. She makes no further deposits and does not withdraw any money. In t years, she has $25,710 in this account. Write an equation in terms of t that models the situation.
Answers
The equation in terms of t that models the situation is given by
\(8192(1+\frac{0.01}{12} )^{12t} = 25710\).
We know that the interest on a loan or deposit that is accrued on both the initial principal and the total interest from prior periods is known as compound interest and it can be calculated as
\(A = P(1+\frac{r}{n})^{nt}\),
where P is the initial principal, r is the rate of interest, n is the number of times interest was charged for each time period, t is the amount of time that has passed and A is the final amount.
Here, P = 8192, r = 10% = 10/100 = 0.01, n = 12 and A = 25,710
So, we can write
\(8192(1+\frac{0.01}{12} )^{12t} = 25710\)
Therefore the required equation is
\(8192(1+\frac{0.01}{12} )^{12t} = 25710\)
Know more about compound interest here -
https://brainly.com/question/13870442
#SPJ10
276.2 rounded to the nearest tenth
Answers
Answer:
276.2 rounded to the nearest 10th is 276.2.....
Step-by-step explanation:
Answer:276.2...
Step-by-step explanation:
what is the slope of the following line 3x+2y=300
Answers
Answer: We have m = −3/2 as the slope and b = 150 as the y-intercept.
Step-by-step explanation:
Given data,
The slope of the following line 3x+2y=300
Define Slope :
Slope = (Change in height)/(Change in width) Or: Slope = rise/run. If y represents the vertical direction on a graph, and x represents the horizontal direction, then this formula becomes: Slope = (Change in y)/(Change in x)
The equation of a line presents the relationship between the components of a line in a certain coordinate system. To construct the equation of the line, we must take note of the parameters such as the slope, a point at which the line passes through, and the intercepts.
We solve for the slope, m, and the y-intercept, b, for the given line. We do this by rewriting the expression into the slope-intercept form,
y = mx + b
We proceed with isolating y in the given equation.
3x + 2y = 300
2y = - 3x + 300
y = (-3x + 300) / 2
y = (-3/2) x + 300/2
y = (-3/2) x + 150
Therefore, we have m = −3/2 as the slope and b = 150 as the y-intercept.
So, slope = -3/2
b = 150
Learn more about event correlation here: brainly.com/question/16958863
#SPJ9
5. Find the value of side x and y. Leave answers in simplest radical form a applicable.
Answers
Therefore , as a result, x = 53 and y = 10 are the answers to the trigonometry problem that was presented.
What is trigonometry?Trigonometry is the discipline of mathematics that studies correlations between angles and sides of triangles. Trigonometry is present in all of geometry because every ahead and move form may indeed be resolved to a set of triangles. Amazingly intricate connections exist between geometry and other areas of mathematics, particularly arithmetic, real or abstract, infinite series, arithmetic, and infinite series.
Here,
Sin 30 = Opposing Side/High
1/2 = 5 / y
y = 5 / (1/2)
y = 10
Cos 30 = Adjustment Side/ Hyp
√3/2 = x/y
√3/2 = x/10
x = 10√3 / 2
x = 5√3
In light of this, the given fractional problem's answer is
x = 5√3 and y = 10.
Therefore , as a result, x = 53 and y = 10 are the answers to the trigonometry problem that was presented.
To know more about trigonometry , visit
brainly.com/question/12068045
#SPJ1
Which of the following is the correct factorization 64x^3+8?
Answers
The correct factorization of the expression, \(64x^{3} +8\), is 4\((2x-1)^{2}\) (8x+2).
According to the question,
We have the following information:
\(64x^{3} +8\)
The factors of this expression can be found using identity because 64\(x^{3}\) is the whole cube of 4x and 8 is the cube of 2.
So, we have the following expression:
\((4x)^{3} + 2^{3}\)
Now, we can use the following identity to factor the given expression:
\(a^{3} +b^{3} = (a+b) (a^{2} -ab+b^{2} )\)
We have a = 8x and b = 2:
(8x+2) {\((4x)^{2}\)-16x+\(2^{2}\)}
(8x+2) (16\(x^{2}\)-16x+4)
Taking 4 as the common factor from the second bracket:
4(8x+2) (4\(x^{2}\)-4x+1)
Now, finding the factors of second bracket:
4(8x+2) (\(4x^{2}\)-2x-2x+1)
4(8x+2) {2x(2x-1)-1(2x-1)}
4(8x+2) (2x-1) (2x-1)
4\((2x-1)^{2}\) (8x+2)
Hence, the correct factorization of the expression, \(64x^{3} +8\), is 4\((2x-1)^{2}\) (8x+2).
To know more about factorization here
https://brainly.com/question/28315959
#SPJ1
The map shows the location of four places in a school. A coordinate plane is shown. There is a point at 5, 2 labeled Front office. There is a point at negative 6, 4 labeled Gym. There is a point at negative 4, negative 3 labeled Auditorium. There is a point at 6, negative 4 labeled Library. Peter's English class is located in the same quadrant as the auditorium. Which of the following could be the coordinates of the English classroom?
Answers
Answer:
its d or to be more specific its the right of the coordinate plane
Step-by-step explanation:
In this lesson, you explained how acts, scenes, and stanzas work together to provide structure and meaning in a drama or poem. Explain how you can apply what you've learned to other dramas and poems you read.
Answers
Answer:
The things that you've learnt can be applied to other dramas and poems that you read by showing how all these elements help to show meaning in poems and dramas.
(sidenote: without knowing what other dramas and poems you are reading, this question is quite vague)
Pls answer question with explanation I will give u branliest if u help (find area of the triangle)
Answers
Answer:
1. 90
4. 468
Step-by-step explanation:
Answer:
234
Step-by-step explanation:
If your asking about number 4, the formula for the area of a triangle is height times base divided by 2. If we plug in, we get 30 times 15.6 which is 468. Divide by 2 and you get 234.
A firefighter extends a ladder against the side of a house. The ladder makes a 32°\degree° angle with the ground. The base of the ladder is 25 feet from the house. Find how high the ladder reaches up the side of the house to the nearest tenth of a foot.
*Draw and label a picture, set up an equation, and solve*
Answers
Answer:
29.5 feet
Step-by-step explanation:
A firefighter extends a ladder against the side of a house. The ladder makes a 32°\degree° angle with the ground. The base of the ladder is 25 feet from the house. Find how high the ladder reaches up the side of the house to the nearest tenth of a foot.
We solve using Trigonometric function of Cosine
= cos theta = Adjacent/Hypotenuse
Theta = 32°
Adjacent = 25 feet
Hypotenuse = Height of the ladder
= cos 32 = 25/x
x = 25/cos 32
x = 29.479460084 feet
Approximately= 29.5 feet
is 4-(-10)=14 a true statement
Answers
Answer:
Yes, it is a true statement
Step-by-step explanation:
Since two negatives cancel out the equation would be
4 + 10 and that equals 14.
So the statement is true!
Which of the following ratios is not equivalent to the rest: *
6 to 8
54 : 72
36 : 56
3 to 4
Answers
Answer:
36:56
Step-by-step explanation:
Answer: C 34:55
Step-by-step explanation:
start with 6:8 that’s the first one multiply by 9 on each side you get 54:72 so that’s the same and then 6:8 divide by 2 and you get 3:4 but for 36:56 you’d have to multiply by 6 and that would give you 36:48 not 36:56
You have 26 cards, labeled with the letters A-Z. The deck is shuffled randomly. You draw cards without replacement. (a) Let I be the number of letters we needed to draw to have seen both A and B. For example, if the 3rd letter is A and the 5th letter is B, then L = 5. What is the PMF of L? (b) Given that we have drawn k many cards already (for some k 0,..., 24) and neither A nor B have yet appeared, what's the probability that these two letters will be drawn consecutively (either AB or BA)? =
Answers
The PMF of the number of letters needed to draw to have seen both A and B is pmf(L=k) = $\frac{1}{26 \choose k-1}$ for k = 2, 3, ..., 26. Given that we have already drawn k many cards and neither A nor B have yet appeared, the probability that these two letters will be drawn consecutively is $\frac{2}{26-k}$.
(a) pmf(L=k) = $\frac{1}{26 \choose k-1}$ for k = 2, 3, ..., 26
(b) P(AB or BA | k cards already drawn) = $\frac{2}{26 - k}$
(a) Since the deck is shuffled randomly, we can assume that each of the 26 letters has an equal probability of being drawn. The probability of drawing A and B before any other letter is $\frac{1}{26 \choose k-1}$.
(b) The probability of drawing AB or BA is $\frac{2}{26-k}$, since there are two possible combinations and we have (26-k) cards left to draw.
The PMF of the number of letters needed to draw to have seen both A and B is pmf(L=k) = $\frac{1}{26 \choose k-1}$ for k = 2, 3, ..., 26. Given that we have already drawn k many cards and neither A nor B have yet appeared, the probability that these two letters will be drawn consecutively is $\frac{2}{26-k}$.
Learn more about probability here
https://brainly.com/question/11234923
#SPJ4
plzzzz help Solve: -8x = 24
Answers
Answer:
-3x
Step-by-step explanation:
24 divided by -8 = -3x
what are the coefficient in the expression 8a+b+9
Answers
Answer:
8 is the coefficient
Step-by-step explanation:
The definition of coefficient is:
a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y).
2.
what is the answer? x+300=500 Will mark brainliest for high quality answers
Answers
Answer: x=
3
500
=166.667
Step-by-step explanation:
This deals with adding, subtracting and finding the least common multiple.
Hey there!
ANSWER: \(x=200\)EXPLANATION:\(x+300=500\)
To solve this, we can just do 500 - 300.
\(500-300=200\\x=200(ANSWER)\)
Hope this helps!
\(-TestedHyperr\)
On a map, 1 inch equals 20 miles. Of two cities are 3 inches apart on the map, how far are they actually apart?
Answers
Answer:
60 miles
Step-by-step explanation:
Since 1 inch on the map equals 20 miles, you just have to multiply 3 by 20.
3x20=60
Mr. Lewis is 63 years old. He wants to take out a five-year level-term life insurance
policy with a face value $700,000. The monthly premium is $72.
2. If he dies after paying for the policy for 24 months, how much will the insurance
company pay his beneficiaries?
Answers
The amount insurance company will pay is $700000.
We are given that
Age of Mr. lewis= 63
Policy value= $700,000
Now,
If Mr. Lewis dies after paying for the policy for 24 months, he would have paid a total of 24 * $72 = $1728 in premiums. Since he has a five-year level-term life insurance policy with a face value of $700,000, his beneficiaries would receive the full face value of the policy if he dies within the five-year term.
Therefore, by algebra the answer will be $700000.
More about the Algebra link is given below.
brainly.com/question/953809
#SPJ1
need help
Determine when a simple 2x2 system of linear equations has no solutions.
Answers
If m = -5 or m = 3, the system of linear equations has no solution.
To determine the values of m for which the system of linear equations has no solution, we need to check the determinant of the coefficient matrix, which is:
| 3 m |
| m+2 5 |
The determinant is
= (3 x 5) - (m x (m+2))
= 15 - m^2 - 2m
= -(m^2 + 2m - 15)
= -(m+5)(m-3)
So, for the system to have no solution, the determinant must be zero, so we have:
-(m+5)(m-3) = 0
This gives us two values of m: m = -5 and m = 3.
Thus, if m = -5 or m = 3, the system of linear equations has no solution.
Learn more about Matrix here:
https://brainly.com/question/29132693
#SPJ1
In triangle ABC, AB = 6, BC = 8, and angle ABC = 90 degrees. Find the area of triangle ABC.
Answers
Answer:
24
Step-by-step explanation:
The formula for area of any triangle is (length * width) * 1/2. This makes the angle of 90 degrees irrelevant.
6 x 8 = 48
48 / 2 = 24
Find the number of ways of arranging the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 in a row so that the product of any two adjacent numbers is even or a multiple of 3
Answers
Answer:
3,10,8,5,4,1,7,2,9,6
Step-by-step explanation:
how to solve an equation
Answers
You have the following system of equations:
7x - y = - 1
-7x + 3y = -25
In order to solve the previous system, you can use different methods, as for example susbtitution or addition of equations.
In this case, you use the second one, due to the fact you have 7x in one equation and -7x in the other equation. In this way you can easily eliminate variable x and then solve for y. With the value of y you can replace it in any of the two equations and solve for x.
Summarizing, you proceed as follow:
- add up the given equations
7x - y = -1
-7x + 3y = -25
0 + 2y = - 26
- solve for y in the previous equation
2y = - 26
y = -26/2
y = -13
- replace the obtained value of y in one of the given equations, and solve for x
7x - y = -1
7x - (-13) = -1
7x + 13 = -1
7x = -1 - 13
7x = -14
x = -14/7
x = -2
Hence, the solution of the given system of equation is:
x = -2
y = -13
1. Reasons quantitatively. AB lies on the number line. The coordinate of point A is -6. Given thay AB = 20, what are two possible coordinates for point B?2. Given: Point K is between points H and J, HK = x - 5, KJ = 5x - 12, and HJ = 25. Find the value of x.
Answers
The distance in a coordinate line is given by:
\(d(A,B)=\lvert B-A\rvert\)in this case we know that A=-6 and we would like to know the value of B so that the distance is 20. Plugging this values in the equation we have:
\(\begin{gathered} \lvert B-(-6)\rvert=20 \\ \lvert B+6\rvert=20 \end{gathered}\)Now we need to remember the property:
\(\begin{gathered} \lvert x\rvert=a \\ \text{implies} \\ x=\pm a \end{gathered}\)Using this we have:
\(\begin{gathered} \lvert B+6\rvert=20 \\ B+6=\pm20 \\ B=-6\pm20 \end{gathered}\)Then:
\(\begin{gathered} B=-6+20=14 \\ B=-6-20=-26 \end{gathered}\)Therefore the two possible coordinates for B are 14 and -26.
A rectangular table cloth measures 150cm by 200cm.the area of the table cloth in square meters is ?
Answers
Answer:
30,000
Step-by-step explanation:
150 x 200
Explanation:
To find the area you need to multiply the two numbers. Therefore, giving you your correct awswer.
Your new warehouse robot will make things a lot easier; however you still need your staff to do the delicate part. Hence they need to learn each other. First time your warehouse employee tried replenishing a single order with the robot, it took 275 seconds. Calculate how much it will take after 17 repetitions with a learning rate of
80%?
Number of repetitions: ???
Answers
The time it will take after 17 repetitions with the learning curve having a rate of 80% is of:
6.19 seconds.
What is the Learning Curve Formula?The learning curve formula is an exponential function defined as follows:
\(y = ab^x\)
In which the parameters are listed as follows:
a is the time it takes to make the first object.b is the rate.Then y gives the time it takes to make the xth object.
In the context of this problem, the values of the parameters are given as follows:
a = 275, as it is the time that it takes the employee on the first time.b = 0.8, as it is stated in the problem that the learning rate is of 80%.Then the time needed for the 17th repetition is of:
y = 275 x (0.8)^17 = 6.19 seconds.
More can be learned about the learning curve formula at https://brainly.com/question/20846785
#SPJ1
What is the place value of 3 in 9. 365?
Answers
Answer:
It is in the tenths place
Step-by-step explanation:
In the number 9.365, 3 is in the tenths place.
(9*1000)+ (3*100)+(6*10)+5