Answers
Answer:
(a) 3, (b) 96, (c) No
Step-by-step explanation:
(a) Since we have [tex]p = 150 - 6q^2[/tex] and [tex]p = 10q^2 + 2q[/tex], we can set up a quadratic equation by [tex]150 - 6q^2 = 10q^2 + 2q[/tex], moving all values to one side.
The equation is: [tex]16q^2 + 2q - 150 = 0[/tex].
Let's use the quadratic formula to find q,
we obtain that [tex]q = 3[/tex] or [tex]q = -3.125[/tex]
We can ignore [tex]-3.125[/tex] because supplying a negative quantity is impossible.
Hence, the answer of (a) is 3
(b) Simply substitute [tex]q = 3[/tex] into either equations given in the question to find p, and the answer of (b) is 96.
(c) We want to find if there is an exact quantity that makes the TR exactly 1500.
We substitute TR = 1500,
[tex]1500 = 85q - 2q^2[/tex]
Use the quadratic formula again, and we will find that the answer is "undefined".
As a result, there is not output level in which the total revenue is exactly 1500.
Related Questions
Help help math please please
Answers
[tex]\underline{\underline{\large\bf{Solution:-}}}\\[/tex]
The standard form of a line is given by -
[tex]\green{ \underline { \boxed{ \sf{Ax+By=C}}}}[/tex]
where
A= integerx = x-interceptB= integery = y-interceptC = constantGiven Equation: -[tex]\begin{gathered}\\\implies\quad \sf y = -\frac{5x}{4} -1 \\\end{gathered} [/tex]
Arranging equation in standard form -
[tex]\begin{gathered}\\\implies\quad \sf y = -\frac{5x}{4} - \frac{1}{1} \quad (1 = \frac{1}{1})\\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf y = -\frac{5x}{4} - \frac{1 \times 4}{1 \times 4} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf y = -\frac{5x}{4} - \frac{4}{4} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf y = \frac{-5x-4}{4} \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 4y = -5x-4 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 4y +5x =-4 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf 5x +4y=-4 \\\end{gathered} [/tex]
Comparing with standard form of line -
A = 5B = 4Thus , 5 is our required answer.
can someone help me with this I already answered half of all of them but I need to make sure It's right?
Answers
Answer:
yes 0.265 is correct it is your answer
someone please help
Answers
C
Explanation:
I think you’re asking what graph goes with D = {x|x≠0} and R = {all real numbers}, which would be C. The reason being is that because x≠0, you need an open dot to represent 0 not being on the line. B has a closed dot, meaning 0 is included, which isn’t what it’s asking for.
Ok, so Jay has a goal of saving money to buy a handheld game console. Jay has reached 10% of his goal and saved $12. Please explain
Answers
Answer:
$120
Step-by-step explanation:
10% = 1/10
If Jay has only saved 1/10 of his goal, then to find how much the goal is we multiply how much he has by 10. This will convert 1/10 to 1.
12 x 10 = 120
Jay's goal is $120
Answer:
$120
i got on edg 2020 hope this helped you
What's the radius of a circle with 15 mm? please answer this question is easy!
Answers
Answer:
7.5
Step-by-step explanation:
If Circumference = 15 pi, then the diameter is 15 mm, so the radius = 7.5 mm.
If x = 3i, y = 2i, and z = m + i, the expression xyz equals
1.) -12-12mi
2.)-6-6mi
3.)12-12mi
4.)6-6mi
Answers
Answer:
Step-by-step explanation:
I am assuming that i = √(-1)
3i*2i*(m + i)
= 6i^2(m + i)
= -6(m+ i)
= -6m - 6i.
[tex] \frac{x}{4} + 3 = \frac{x}{2} + 3[/tex]
Answers
Answer:I think it’s 7...
Step-by-step explanation:
Which one is greater 0.5 or 1/2
Answers
Answer:
Both are equal.
Step-by-step explanation:
.5 is a decimal and you get it by dividing 1 by 2, or 1/2.
So 1/2 ultimately means .5.
NO LINKS!!!
Please help with these parts!! parts b, c, and d
Answers
b. There are infinitely many solutions there are infinitely many numbers that are greater than or equal to 4
c. The boundary point for the inequality is at x=4 because any value less would make the inequality not true. The ralationship with the inequality is that it is the only solution that makes the inequality exactly equal to 13
d. (see image) just account for the x direction and ignore the y
A is solved according to you
#b
We have to create a interval notation to find
Let's check
[tex]\\ \rm\rightarrowtail 4x-3\geqslant 13[/tex]
[tex]\\ \rm\rightarrowtail 4x\geqslant 16[/tex]
[tex]\\ \rm\rightarrowtail x\geqslant 4[/tex]
So
[tex]\\ \rm\rightarrowtail x\in [4,\infty)[/tex]
Infinite solutions#c
Boundary is when the inequality becomes false
Here its
x=4#d
Attached
A market researcher for a consumer electronics company wants to determine if the residents of a particular city are spending more time watching TV than the average for this geographic area. The average for this geographic area is 13 hours per week. A random sample of 16 respondents of the city is selected, and each respondent is instructed to keep a detailed record of all television viewing in a particular week. For this sample the viewing time per week has a mean of 15.3 hours and a sample standard deviation sn = 3.8 hours. Assume that the amount of time of television viewing per week is normally distributed. Can the researcher claim that the residents of this particular city are spending significantly (at 5% level) more time watching TV than the average for this geographic area? Explain your conclusion.
Answers
Answer:
The conclusion
There is sufficient evidence to conclude that the the residents of this particular city are spending significantly (at 5% level) more time watching TV than the average for this geographic area.
Step-by-step explanation:
From the question we are told that
The population mean is [tex]\mu = 13 \ hours\ per\ week[/tex]
The sample size is n= 16
The sample mean is [tex]\= x = 15.3[/tex]
The standard deviation is [tex]s = 3.8\ hours.[/tex]
The null hypothesis is [tex]H_o : \mu = 13[/tex]
The alternative hypothesis is [tex]H_a : \mu > 13[/tex]
The level of significance is [tex]\alpha = 0.05[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\= x - \mu }{ \frac{\sigma }{\sqrt{n} } }[/tex]
=> [tex]t = \frac{15.3 - 13 }{ \frac{ 3.8 }{\sqrt{16} } }[/tex]
=> [tex]t = 2.42[/tex]
Generally the p-value is mathematically represented as
[tex]p-value = P(z > 2.42)[/tex]
From the z -table
[tex]P(z > 2.42) = 0.0077603[/tex]
=> [tex]p-value = 0.0077603[/tex]
From the values obtained we see that [tex]p-value < \alpha[/tex]
Hence we reject the null hypothesis
Therefore there is sufficient evidence to conclude that the the residents of this particular city are spending significantly (at 5% level) more time watching TV than the average for this geographic area.
Looking for answer for this answer
Answers
Answer:
The last option
Step-by-step explanation:
[tex]a^{-4} =\frac{1}{a^{4} }[/tex]
then
[tex]2a^{-4} m^{5}=\frac{2m^{5} }{a^{4} }[/tex]
Hope this helps
For every 6kg of a child's weight, pediatricians prescribe 17mg of acetaminophen. If Lexie weighs 48kg, how many milligrams of the acetaminophen will the pediatrician prescribe?
Answers
In the diagram below, xy and yz are tangent to 0. What is the measure of
wz?
W!
0 120°
60°y
Z
A. 240°
B. 180°
C. 210°
D. 150
Answers
Answer:
240°
Step-by-step explanation:
measure of XWZ = 360 - 120 = 240°
The measure of arc wz is 240 degrees.
here, we have,
we know that,
A small arc is one with a measure of fewer than 180 degrees. A major arc is one with a measure greater than 180 degrees. A semicircle is an arc that divides a circle in half and has a measure of 180 degrees.
An arc is a continuous segment of a circle. There are two sections, one of which is larger than the other. The major arc is the larger one, and the minor arc is the smaller one.
Given:
From diagram, m ∠xz = 120 degrees.
We know that whole circle = 360 degrees
So, measure of arc wz = 360 - 120
= 240
Hence, the measure of arc wz is 240 degrees.
Learn more about Major and Minor Arc here:
brainly.com/question/9288523
#SPJ7
The value of square root of 20 is between 4.4 and 4.5. Which of the following is a more precise approximation of square root of 20?
Answers
Answer:
4.5
Step-by-step explanation:
the square root of 20 is closer to 4.5 than it is to 4.4
Are the lines x = 2 and y = 5 parallel? Are the perpendicular? Explain.
=
Answers
Answer: Yes
Step-by-step explanation:
x=2 is a vertical line with an undefined slope, and y=5 is a horizontal line with a slope of 0. Since these lines have slopes that are negative reciprocals, they are perpendicular.
please answer these 3 equations fast pls
Answers
Answer:
15: 10.99
2(3.14)r
3.5/2 = 1.75
2(3.14)1.75
10.99
16: 50.24
2(3.14)8
50.24
17: 260%
2 = 200%
3/5 = 60%
200 + 60 = 260%
Have an amazing day!
Please rate and mark brainliest!!
a car travels at a speed of 85 mph how far will it travel in 15 minutes
Answers
Answer:
106.25 mph
Step-by-step explanation:
since the car travels at 85 miles per hour we divide it by 60 seconds in order to find how many miles is it to get in a minute
=> 85mph ÷ 60
divide 85 by 60
=> 1.416
multiply 1.416 by 15 to get how many miles it to go in 15 minutes
=> 21.25
then add it to 85
=> 106.25
2. A car costs $10,350 and decreases in value by 1% per month. How much will the car be worth
after 3 years?
Answers
Answer:
The car will be worth 6,624$ in 3-years
Step-by-step explanation:
Firstly we need to move the decimal two to the left, so the decimal form of 1% is 0.01.
Secondly, we make the equation by plugging in a multiplication sign and the cost of the car. Example - (0.01 x 10,350).
Now, that we have everything in an equation we can multiply 0.01 by 10,350, which will give us what 0.01 percent of 10,350 is, (103.5).
Lastly, we will subtract 103.5 from the cost of the car (10,350) to get the value of the car after the first month. The cost of the car will be $10,246.5. To find the value after the next two years we will repeat these steps...
Please answer this question
Answers
Answer:
the third one
Step-by-step explanation:
Answer:
I think the 3rd one
Step-by-step explanation:
20 m/h
10. An aeroplane travel 2000 miles in 2
hours, what is its speed?
Answers
Answer:
1000 mph or 1000 miles per hour
Step-by-step explanation:
Speed = Distance/time, 2000miles/2hours=1000 miles per hour or 1000 mph
¿Cuál es la fuerza por unidad de longitud que actúa
sobre un alambre recto que conduce una corriente de
9.40 A de manera perpendicular a un campo
magnético uniforme de 0.80 T?
Answers
La fuerza por unidad de longitud del cable recto que lleva es de 7,52 N/m.
¿Qué es la fuerza magnética?La fuerza magnética se refiere a la fuerza que experimenta un cuerpo en el campo magnético.
Tenemos la siguiente información;
Corriente (I) = 9,40 A
Campo magnético = 0,80 T
Dado que;
F = BIL senθ
Tenemos que encontrar la fuerza por unidad de longitud así;
F/L = BIsenθ
F/L = 0,80 T * 9,40 A Sen 90 = 7,52 N/m
Obtenga más información sobre el campo magnético: https://brainly.com/question/19542022
What two factors of 25 also have the sum of -10?
Answers
Answer:
-5 and -5.
Step-by-step explanation:
Two negative numbers multiply to make a positive and add to make a negative.
1
Calculate the pressure exerted by a girl of 30kg if she is standing on only one
leg. (Area of her sole is 100 cm).
Answers
Soln
here
weight = 30 kg
Force = weight × 10
= 30×10
= 300
Area = cm
= 100/100
= 1
now,
Pressure = Force/Area
= 300/1
= 300 pa.
if a printer prints 36 pages in 12 minutes, how many pages per minute?
Answers
Step-by-step explanation:
The key word "per" hints at a ratio
A ratio is represented by ?:?, ?/?, etc
So, we can divide the two
pages. 36 pages
----------- = ------------- = 3 pages per min minute 12 minutes
A statistician believes that the percent population growth rate of major cities has decreased compared to the last decade. To test his claim, he randomly selects major cities and compares the percent population growth between the years 2007 and 2017 to the percent population growth between the years 1997 and 2007. Suppose that data were collected for a random sample of 17 cities, where each difference is calculated by subtracting the percent growth rate from 1997 to 2007 from the percent growth rate from 2007 to 2017. Assume that the percentages are normally distributed. The statistician uses the alternative hypothesis Ha:μd<0. Using a test statistic of t≈−5.053, which has 16 degrees of freedom, determine the range that contains the p-value.
Answers
Answer:
The range consisting of the p-value is, 0.000001 < p-value < 0.00001.
Step-by-step explanation:
The dependent t-test (also known as the paired t-test or paired samples t-test) compares the two means associated groups to conclude if there is a statistically significant difference amid these two means.
In this case a paired t-test is used to determine whether the percent population growth rate of major cities has decreased compared to the last decade.
The alternative hypothesis is Hₐ: [tex]\mu_{d}<0[/tex].
The test statistic value is, t = -5.053.
The degrees of freedom is, 16.
Compute the p-value as follows:
[tex]p-value=P(t_{16}<-5.053)=0.000059[/tex]
Thus, the range consisting of the p-value is, 0.000001 < p-value < 0.00001.
Calculus 3.10 Linearization (a) y=x^2sin2x (b) y=ln sqrt(1+t^2) find the differential of each.
Answers
Answer:
Below in bold.
Step-by-step explanation:
(a) y=x^2sin2x
Using the Product Rule:
dy/dx = x^2*2cos2x + 2xsin2x
dy/dx = 2x(xcos2x + sin2x).
(b) y=ln sqrt(1+t^2)
y = ln (1 + t^2)^1/2
Using the chain rule:
dy/dx = 1 / (1 + t^2)^1/2 * 1/2(1 + t^2)^-1/2 * 2t
= 2t/(1 + t^2)^1/2 * 1/ (2(1 + t^2)^1/2
= 2t / 2(1 + t^2)
= t / ( 1 + t^2).
Line L in the figure below is parallel to the line y=5x+3. Find the coordinates of the point P.
Answers
keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above
[tex]y=\stackrel{\stackrel{m}{\downarrow }}{5}x+3\qquad \impliedby \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}[/tex]
that means that the slope of line L is also 5, or 5/1 or [tex]slope=\cfrac{\stackrel{rise}{5}}{\underset{run}{1}}[/tex]
Check the picture below.
Circumference of the circle
R=9in
Answers
So 2x9x3.14=56.52
Answer:
C = 56.52 Inch.
Step-by-step explanation:
Formula: C = 2πr
C = 2π (9)
C = 18π
C = 18 (3.14)
C = 56.52 Inches
Find the slope of the line that goes through the given points
(4,5) (and 3,3)
Answers
Answer:
slope=2
Step-by-step explanation:
y-y=m(4-3)
5-3=m(4-3)
2=m(1)
2/1=m
m=2
Jessica is on her way home in her car. She has driven 30 miles so far, which is two-thirds of the way home. What is the total length of her drive?