Answer:
The average rate of change of Demand between 40 and 175 units sold is of -0.1045.
Step-by-step explanation:
Average rate of change:
The average rate of a function f(x) in an interval [a,b] is given by:
[tex]A = \frac{f(b) - f(a)}{b - a}[/tex]
In this question:
[tex]D(q) = -0.0003q^2 - 0.04q + 23.56[/tex]
What is the average rate of change of Demand between 40 and 175 units sold?
[tex]a = 40, b = 175[/tex]. So
[tex]D(40) = -0.0003*40^2 - 0.04*40 + 23.56 = 21.48[/tex]
[tex]D(175) = -0.0003*175^2 - 0.04*175 + 23.56 = 7.3725[/tex]
So
[tex]A = \frac{f(b) - f(a)}{b - a} = \frac{7.3725 - 21.48}{175 - 40} = -0.1045[/tex]
The average rate of change of Demand between 40 and 175 units sold is of -0.1045.
For a given function ƒ(x) = x2 – x + 1, the operation –ƒ(x) = –(x2 – x + 1) will result in a
A) reflection across the x-axis.
B) horizontal shrink.
C) reflection across the y-axis.
D) vertical shrink.
Given:
The function is:
[tex]f(x)=x^2-x+1[/tex]
To find:
The result of the operation [tex]-f(x)=-(x^2-x+1)[/tex].
Solution:
If [tex]g(x)=-f(x)[/tex], then the graph of f(x) is reflected across the x-axis to get the graph of g(x).
We have,
[tex]f(x)=x^2-x+1[/tex]
The given operation is:
[tex]-f(x)=-(x^2-x+1)[/tex]
So, it will result in a reflection across the x-axis.
Therefore, the correct option is A.
Answer:
A) reflection across the x-axis.
Step-by-step explanation: I took the test
a person who take 40 paces to cover 20m finds that a square field has a side that is 520 paces long .calculate the length of the side and the area of the field
The area of the square field is 67600 m² and the side is 260 m long.
What is square?A quadrilateral with all sides equal and all angles are right angles.
Given that, a person takes 40 paces to cover 20 m of a square field according to him the field has a side that is 520 paces long, we need to find the measure of the side and the area,
Since,
40 paces = 20 m
1 pace = 1/2 m
Therefore,
520 paces = 0.5 x 520 m
= 260 m
Therefore, the square field is 260 m long,
Area of the square field = side² = 260²
= 67600 m²
Hence, the area of the square field is 67600 m² and the side is 260 m long.
Learn more about squares, click;
https://brainly.com/question/14198272
#SPJ2
What is the distance between (8, -3) and (4, - 7)?
Choose 1 answer:
Will GIVE YOU BRAINLIEST
Step-by-step explanation:
We'll find the distance using the all-famous "Distance Formula." You'll probably come across it quite a bit, so it's best to have it written down somewhere.
The Distance Formula: [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
Our points are (8, -3) and (4, -7), so we'll plug in those numbers accordingly.
For reference:
x2 = 4
x1 = 8
y2 = -7
y1 = -3
The calculation:
(substitute)
[tex]\sqrt{(4-8)^2+((-7)-(-3))^2 }[/tex]
(simplify)
[tex]\sqrt{(-4)^2+(-4)^2 }[/tex]
(square things)
[tex]\sqrt{16+16 }[/tex]
(add)
[tex]\sqrt{32}[/tex]
Answer:
[tex]\sqrt{32}[/tex]
Answer:
[tex]\boxed {\boxed {\sf C. \sqrt{32}}}[/tex]
Step-by-step explanation:
The distance between 2 points can be determined with the following formula.
[tex]d= \sqrt{(x_2-x_1)^2+ (y_2-y_1)^2[/tex]
In this formula, (x₁, y₁) and (x₂, y₂) are the 2 points. We want to find the distance between the points (8, -3) and (4, -7). If we match the value with its corresponding variable, then we see:
x₁= 8 y₁= -3 x₂= 4 y₂ = -7Substitute the values into the formula.
[tex]d= \sqrt{(4-8)^2+(-7--3)^2[/tex]
Solve inside the parentheses.
(4-8) = -4 (-7 - -3) = (-7+3)= -4[tex]d= \sqrt {(-4)^2+(-4)^2[/tex]
Solve the exponents.
(-4)² = -4 * -4 = 16[tex]d= \sqrt {16+16[/tex]
Add.
[tex]d= \sqrt {32}[/tex]
This radical can be simplified, but since it is an answer choice, we can leave it as is.
The distance between the points (8, -3) and (4, -7) is √32 and choice C is correct.
what is the value of tan 0 in the unit circle below? (square root3/2,1/2)
Answer:
√3/3
Step-by-step explanation:
To obtain Tan θ ;
From trigonometry, tan θ = sin θ / cosθ
Given the paired value : (√3/2, 1/2)
The (cosine, sine ) pair ;
Tan θ = sin (1/2) / cos (√3/2)
Tan θ = (1/2 ÷ √3 / 2) = 1 / 2 * 2 / √3 = 2 / 2√3 = 1 / √3
Tan θ = 1 / √3
Rationlaizing the denominator :
1/√3 * √3/ √3 = √3/√9 = √3/3
(a) How many different three-letter initials can people have: , (b) How many different three-letter initials with none of the letters repeated can people have: , (c) How many different three-letter initials with letters repeated begin with an X: , (d) How many different three-letter initials begin with a F and end in a D: .
Answer:
Step-by-step explanation:
A) 26*26*26 =17576
B)26*25*24=15600
C)26*26=676
D) 26
I NEED HELP ON MATH PLS
Answer:
5/2 or 2½ or 2.5
Step-by-step explanation:
20/8 = 2.5
10/4 = 2.5
The number of people attending graduate school at a university may be
modeled by the quadratic regression equation y = 8x2 - 40x+6, where x
represents the year. Based on the regression equation, which year is the best
prediction for when 1206 people will attend graduate school?
A. Year 15
B. Year 18
C. Year 24
D. Year 20
Answer:
15 years
Step-by-step explanation:
Given the quadratic regression model:
y = 8x² - 40x+6 ; where
y = Number of people attending graduate school ;
x = number of years
The value of x when y = 1206
The equation becomes :
1206 = 8x² - 40x+6
1206 - 6 = 8x² - 40x
1200 = 8x² - 40x
Divide through by 8
150 = x² - 5x
x² - 5x - 150 = 0
x² - 15x + 10x - 150 = 0
x(x - 15) + 10(x - 15)
x - 15 = 0 or x + 10 = 0
x = 15 or x = - 10
Number of years can't be negative,
Hence, x = 15 years
Christian randomly selects students from his grade to rate a math test as easy, moderate, or difficult. Of the students he surveyed, 13 said the test was easy, 11 rated it as moderate, and 3 found it difficult. Assuming that all students took the same test, how many of the 162 total students in Christian’s grade would probably rate the test something other than easy?
A.
27
B.
78
C.
84
D.
126
Answer:
C.
84
Step-by-step explanation:
This question is solved using proportions.
From the sample:
11 + 3 = 14 out of 13 + 11 + 3 = 27 would rate the test something other than easy.
Out of 162:
Applying the rule of three:
14 - 27
x - 162
Applying cross multiplication:
[tex]27x = 14*162[/tex]
[tex]x = \frac{14*162}{27}[/tex]
[tex]x = 84[/tex]
Thus the correct answer is given by option C.
Answer:
I hope this helps
Step-by-step explanation:
What is the answer to it
No question?
Why not add one!
Worth a lot of points.
Answer:
It's the last one.
Step-by-step explanation:
For example, if you have 0, the absolute valeu of 0 is 0. A postive number like 2, has an absolute value of 2. 0 is not greater than 0 and 2 is not greater than 2. Hope this helps!
Answer: Kayla is incorrect. The absolute value of 0 or a positive number is equal to the number.
Absolute numbers cannot be negative numbers. Therefore, an absolute number of a positive number will always be the positive number.Hey there, everyone!
I just wanted to shout out to all of those whom have helped me through my tortuous math homework and say thank you very much. XD
I manage to pass my very first year of high school without physically going to school.
It was a lot of twist and turns, I must say. But at least I managed to pass through!
Man, I'm gonna miss 2021 because now I'll have to ACTUALLY go to school. But when that day comes, I do hope you guys will continue helping me on!
In the mean time, stay safe everyone and thanks a lot!
But hold up! I got one more question!
I really want to delete my account so badly but I can't because I forgot my password and I'm using my school email unfortunately. Anyone got a solution to my issue? :(
Answer:
I don't know the answer please tell me
A large cable company reports that 42% of its customers subscribe to its Internet service, 32% subscribe to its phone service and 23% subscribe to both its Internet service and phone service.
a) What is the probability that a randomly selected customer subscribes to the Internet service or the phone service?
b) What percent of customers subscribe to neither the Internet service nor the phone service?
9514 1404 393
Answer:
a) 51%
b) 49%
Step-by-step explanation:
a) P(A∪B) = P(A) +P(B) - P(A∩B)
P(A∪B) = 42% +32% -23% = 74% -23% = 51%
51% subscribe to one or the other.
__
b) P(¬A∩¬B) = P(¬(A∪B)) = 1 -P(A∪B) = 1 -51% = 49%
49% of customers subscribe to neither service.
Solve 9(7x-2) = 5 (10x - 1)
Answer:
[tex]9(7x - 2) = 5(10x - 1) \\ \\ 63x - 18 = 50x - 5 \\ \\ 63x - 50x = - 5 + 18 \\ \\ 13x = - 5 + 18 \\ \\ 13x = 13 \\ \\ x = \frac{13}{13} \\ \\ x = 1[/tex]
Answer:
[tex]9(7x - 2) = 5(10x - 1) \\ 9 \times 7x - 9 \times 2 = 5 \times 10x - 5 \\ 63x - 18 = 50x - 5 \\ 63x - 50x = - 5 + 18 \\ 13x = 13 \\ x = 1 \\ thank \: you[/tex]
The 3rd and 6th term of a geometric progression are 9/2 and 243/16 respectively find the first term, common ratio, seventh term
Answer:
Hello,
Step-by-step explanation:
[tex]Let\ (u_n)\ the\ geometric\ progression.\\\\r\ is\ the\ common\ ratio.\\\\u_3=u_0*r^3\\u_6=u_0*r^6\\\\\dfrac{u_6}{u_3} =r^3=\dfrac{\frac{243}{16} }{\frac{9}{2} } =\dfrac{27}{8} =(\frac{3}{2} )^3\\\\\boxed{r=\dfrac{3}{2} }\\\\\\u_3=u_1*r^2 \Longrightarrow\ u_1=\dfrac{u_3}{r^2} =\dfrac{\frac{9}{2} }{(\frac{3}{2^2}) } =2\\\\\\u_7=u_6*\dfrac{3}{2} =\dfrac{729}{32}[/tex]
Find the length of the other two sides isosceles right triangle
Answer:
x=5 and h=5*sqrt(2)
Step-by-step explanation:
It's an isosceles right triangle, x=5. Use Pythagoras and compute h
Two angles of a triangle have the same measure and the third one is 57 degrees greater than the measure of each of the other two. Find the measure of the LARGEST angle in the triangle.
x+x+x+39=180 degrees. (The sum of the angles of a triangle is 180.)
Combine like terms:
3x+39=180
Solve for X
3x+39-39=180-39
3x=141
3x÷3=141÷3
x=47
The largest angle equals 47+39=86.
Now lets check it 47+47+86=180.
Prior to a special advertising campaign, 23% of all adults recognized a particular companyâs logo. At the close of the campaign the marketing department commissioned a survey in which 311 of 1,200 randomly selected adults recognized the logo. Determine, at the .01 level of significance, whether the data provide sufficient evidence to conclude that more than 23% of all adults now recognize the companyâs logo.
Answer:
The answer is "2.4049"
Step-by-step explanation:
Calculating the test of Hypothesis: [tex]H_{0}: 23\% \ \text{off all adults which reconize the compony's logo}\\\\H_{1}: \text{more than 23\% of adult recornise the compony's logo}\\\\[/tex]
that is
[tex]H_{0}: p=0.23\ against \ H_{1}:p>0.01\\\\Z=\frac{P-p}{\sqrt{\frac{p(1-p)}{n}}}\sim N(0,1)\\\\[/tex]
Given:
[tex]p= 0.23\\\\ \therefore \\\\1-p=0.77\\\\n=1200\\\\ P=\frac{311}{1200}=0.2591\\\\\therefore\\\\Z= \frac{0.2591-0.23}{\sqrt{((0.23)\times \frac{(1-0.23))}{1200}}}=2.4049[/tex]
Z=2.576 tabled value. Because Z is 2.4049, that's less than Z stated, there is no indication that a null hypothesis is rejectable, which means that 23% of all adults record the logo of the Company.
You decide to go on a 4 day backpacking trip. The first day you walk 8 miles at northeast, on the second day, you walk 4 miles at eastsouth, and on the third day you walk 3 miles at southwest. On the fourth day you need to head straight back to your car. How far do you have to walk, and in what direction
Answer:5
Step-by-step explanation:
Where the above parameters are given, you need to walk a distance of approximately √41 miles back to your car.
How to compute the aboveTo calculate the total distance you need to walk, you can use the Pythagorean theorem since you have a right triangle formed by the north and east displacements.
Distance = √((Distance north)² + (Distance east)²)
= √((5 miles)² + (4 miles)²)
= √(25 miles + 16 miles)
= √41 miles
Hence, you need to walk a distance of approximately √41 miles back to your car.
As for the direction, based on the net displacements, you are 5 miles north and 4 miles east of your car, so the direction would be a combination of north and east, often referred to as northeast.
Learn more about distance at:
https://brainly.com/question/26046491
#SPJ2
The pie chart shows the favorite type of book of the more than 50,000 high school students. About what percent of favorite type of book is drama? About what percent is mystery?
Complete the statements based on the information.
About
% of high school students chose dramas as their favorite type of book.
About
% of high school student chose mysteries as their favorite type of book.
Ans:
50%
25%
Thus, 50% of high school students chose dramas as their favorite type of book and 25% of high school students chose mysteries as their favorite type of book.
What is the percentage?It's the ratio of two integers stated as a fraction of a hundred parts. It is a metric for comparing two sets of data, and it is expressed as a percentage using the percent symbol.
It is given that:
The pie chart shows the favorite type of book of more than 50,000 high school students.
As we know,
A circular statistical visual with slices illustrating a normal probability plot is named a pie chart. Each slice's arc length in a pie chart matches to the quantity it displays.
Thus, 50% of high school students chose dramas as their favorite type of book and 25% of high school students chose mysteries as their favorite type of book.
Learn more about the percentage here:
brainly.com/question/8011401
#SPJ2
I don't know how to do this. Please help
Answer:
63m³
Step-by-step explanation:
volume of a cylinder = πr²h
r = 2m, h = 5m
= 22/7 × 2² × 5
= 62.86m³
approx 63m³
Really need help and the answer on this one plz help.
a game is played using one die. if the die is rolled and shows a 2, the player wins $45. If the die shows any number other than 2, the player wins nothing.
If there is a charge of $9 to play the game what is the games expected value?
Answer:
The game's expected value is of -$1.5.
Step-by-step explanation:
Expected value:
Probability of each outcome multiplied by the outcome.
One out of 6 sides is 2:
1/6 probability of the player earning 45 - 9 = $36.
5/6 probability of the player losing $9. So
[tex]E = 36\frac{1}{6} - 9\frac{5}{6} = \frac{36 - 45}{6} = -\frac{9}{6} = -1.5[/tex]
The game's expected value is of -$1.5.
What is the surface area of the cube below?
9 9 9
A. 508 units2
B. 405 units2
C. 486 units
D. 729 units2
Answer:
The formula of the surface area of a cube is 6 x s²
→ s = 9
→ s² = 9²
→ s² = 81
→ 6 x 81 = 486
So, the surface area of the cube is 486 units².
The surface area of a cube is 486 units².
What is Surface Area?The area is the space occupied by a two-dimensional flat surface. It is expressed in square units. The surface area of a three-dimensional object is the area occupied by its outer surface.
We have to find Surface Area of Cube.
Edge length of cube = 9 unit
So, Surface area of Cube
= 6 x s²
= 6 x 9²
= 6 x 81
= 486 units².
Learn more about Surface Area here:
brainly.com/question/29298005
#SPJ5
If 25 burgers feed 15 kids how many burgers would feed 55 kids
Answer:
1375
Step-by-step explanation:
Please help me to find this problem
9514 1404 393
Answer:
3. 42.21 in
4. 4.38 cm
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relationships between an angle in a right triangle and the basic trig functions. The triples of letters stand for ...
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
where the terms "opposite" and "adjacent" refer to sides of the triangle that are opposite the angle of interest or adjacent to it, respectively.
In these problems, the measure of the hypotenuse is shown, and the problem requests the measure of the side opposite the given angle. The sine function is relevant.
__
3. sin(79°) = GE/GB = GE/(43 in)
GE = (43 in)sin(79°) ≈ (43 in)(0.981627) ≈ 42.21 in
__
4. sin(26°) = BC/BA = BC/(10 cm)
BC = (10 cm)sin(26°) ≈ (10 cm)(0.438371) ≈ 4.38 cm
Simplify |3 − 11| − (15 ÷ 3 + 2) 2
Let x represent the average annual salary of college and university professors (in thousands of dollars) in the United States. For all colleges and universities in the United States, the population variance of x is approximately σ2
= 47.1. However, a random sample of 15 colleges and universities in Kansas showed that x has a sample variance σ2 = 83.2. Use a 5% level of significance to test the claim that the variance for colleges and universities in Kansas is greater than 47.1. Use the traditional method. Assume that a simple random sample is selected from a normally distributed population.
a. Check requirements.
b. Establish H0 and H1 and note the level of significance.
c. Find the sample test statistic.
d. Find Critical Value.
e. Conclude the test and interpret results.
Answer:
Kindly check explanation
Step-by-step explanation:
Given that :
The hypothesis :
H0 : σ²= 47.1
H1 : σ² > 47.1
α = 5% = 0.05
Population variance, σ² = 47.1
Sample variance, s² = 83.2
Sample size, n = 15
The test statistic = (n-1)*s²/σ²
Test statistic, T = [(15 - 1) * 83.2] ÷ 47.1
Test statistic = T = [(14 * 83.2)] * 47.1
Test statistic = 1164.8 / 47.1
Test statistic = 24.73
The degree of freedom, df = n - 1 ; 10 = 9
Critical value (0.05, 9) = 16.92 (Chisquare distribution table)
Reject H0 ; If Test statistic > Critical value
Since ; 24.73 > 16.92 ; Reject H0 and conclude that variance is greater.
A postmix beverage machine is adjusted to release a certain amount of syrup into a chamber where it is mixed with carbonated water. A random sample of 25 beverages was found to have a mean syrup content of fluid ounces and the sample standard deviation is fluid ounces. Find a 95% two-sided confidence interval on the mean volume of syrup dispensed. Assume population is approximately normally distributed. Round your answers to 3 decimal places.
Answer:
(1.1155 ; 1.1245)
Step-by-step explanation:
Given that :
Sample mean, xbar = 1.12
Sample standard deviation, s = 0.011
Sample size, n = 25
Since we are using the sample standard deviation, we use the T distribution ;
The confidence interval is defined as :
C. I = Xbar ± Tcritical * s/√(n)
Degree of freedom, df = n - 1 = 24
Tcritical(0.05, 24) = 2.064
C. I = 1.12 ± (2.064 * 0.011 / √25)
C.I = 1.12 ± 0.0045408
Lower boundary = (1.12 - 0.0045408) = 1.1155
Upper boundary = (1.12 + 0.0045408) = 1.1245
(1.1155 ; 1.1245)
in a survey of 90 students, the ratio of those who work outside the home to those who don't is 6:4. How many students work outside the home according to this survey? SHOW ALL WORK! AND ONLY ANSWER IF YOU KNOW THE ANSWER!
9514 1404 393
Answer:
54
Step-by-step explanation:
The fraction of the total that work outside the home is ...
outside/(outside +inside) = 6/(6+4) = 6/10
Then the number of those surveyed who work outside the home is ...
(6/10)(90) = 54 . . . work outside the home
construct a 3×3 matrix aij=3j-2i Hellpppp ASAP
[tex]a_{ij}=3j-2i[/tex] is the formula for (i, j )-th entry (row i, column j ) of the matrix. So the matrix would be
[tex]\begin{bmatrix}3\times1-2\times1&3\times2-2\times1&3\times3-2\times1\\3\times1-2\times2&3\times2-2\times2&3\times3-2\times2\\3\times1-2\times3&3\times2-2\times3&3\times3-2\times3\end{bmatrix} = \begin{bmatrix}1&4&7\\-1&2&5\\-3&0&3\end{bmatrix}[/tex]
