Help me answer these
Step-by-step explanation:
y=-2X2 -2X +4
Answer: I answered it it's C
What is the slope between (-4, 0) and (0, 2)?
Answer:0.5
Step-by-step explanation: y = 0.5x + 2
Classify the triangle as acute, obtuse, or right based on the given side
lengths. *
3,4,6
Acute
Obtuse
Right
The quantity of a product demanded by consumers is a function of its price. The quantity of one product demanded may also depend on the price of other products. For example, if the only chocolate shop in town (a monopoly) sells milk and dark chocolates, the price it sets for each affects the demand of the other. The quantities demanded, q1​ and q2​, of two products depend on their prices, p1 and p2, as follows:
q1​=150−2p1​−p2
q2​=200−p1​−3p2​.​
If one manufacturer sells both products, how should the prices be set to generate the maximum possible revenue? What is that maximum possible revenue?
Answer:
Both prices should be set to #25.
The maximum revenue is #4375
Step-by-step explanation:
Given
[tex]q_1 = 150-2p_1-p_2[/tex]
[tex]q_2 = 200-p_1-3p_2[/tex]
Start by calculating the total revenue (R):
[tex]R = p_1q_1 + p_2q_2[/tex]
[tex]R = p_1(150-2p_1-p_2) + p_2(200-p_1-3p_2)[/tex]
[tex]R = 150p_1-2p_1^2-p_1p_2 + 200p_2-p_1p_2-3p_2^2[/tex]
Collect and solve like terms
[tex]R = 150p_1+ 200p_2-2p_1^2-2p_1p_2 -3p_2^2[/tex]
Differentiate with respect to pi and to p2, respectively
[tex]\frac{dR}{dp_1} = 150 -4p_1 - 2p_2[/tex]
[tex]\frac{dR}{dp_2} = 200 -2p_1 - 6p_2[/tex]
Equate both to 0, to get the critical point
[tex]150 -4p_1 - 2p_2 = 0[/tex]
[tex]200 -2p_1 - 6p_2 = 0[/tex]
Solve for p1 in [tex]150 -4p_1 - 2p_2 = 0[/tex]
[tex]4p_1 = 150 - 2p_2[/tex]
[tex]p_1 = 37.5 - 0.5p_2[/tex]
Substitute [tex]p_1 = 37.5 - 0.5p_2[/tex] in [tex]200 -2p_1 - 6p_2 = 0[/tex]
[tex]200 - 2(37.5 - 0.5p_2) - 6p_2 = 0[/tex]
[tex]200 - 75 - p_2 - 6p_2 = 0[/tex]
[tex]125 - 7p_2 = 0[/tex]
[tex]-7p_2 =-125[/tex]
[tex]p_2 = 25[/tex]
Substitute [tex]p_2 = 25[/tex] in [tex]p_1 = 37.5 - 0.5p_2[/tex]
[tex]p_1 = 37.5 - 0.5 * 25[/tex]
[tex]p_1 = 37.5 - 12.5[/tex]
[tex]p_1 = 25[/tex]
So, we have:
[tex]p_1 = p_2 = 25[/tex]
This implies that the prices should be set to #25.
The maximum possible revenue is:
[tex]R = 150p_1+ 200p_2-2p_1^2-2p_1p_2 -3p_2^2[/tex]
[tex]R = 150 * 25 + 200 * 25 -2 * 25^2 - 2 * 25 * 25 - 3 * 25^2[/tex]
[tex]R = 4375[/tex]
The maximum revenue is #4375
The maximum possible revenue is 4375.
How to calculate the revenue?From the information given, the following can be deduced:
Q₁ = 150 - 2P₁ - P₂
Q₁ = 150 - 2P₁ - P₂Q₂ = 200 - P₁ - 3P₂
The total revenue will be:
R = P₁Q₁+ P₂Q₂
R = P₁(150 - 2P₁ - P₂) + P₂(200 - P₁ - 3P₂)
R = 150P₁ + 200P₂ - 2P₁² - 2P₁P₂ - 3P₂²
To maximize, differentiate it in both the direction of P₁ and P₂.
d/dP₁ = 150 - 4P₁ - 2P₂
d/dP₂ = 200 - 2P₁ - 6P₂.
Solving for P₁ goes thus:
4P₁ = 150 - 2P₂
Divide through by 4
P₁ = 37.5 - 0.5P₂
Since 200 - 2P₁ - 6P₂ = 0
200 - 2(37.5 - 0.5P₂) - 6P₂ = 0.
P₂ = 25
Therefore, the revenue will be:
= 150P₁ + 200P₂ - 2P₁² - 2P₁P₂ - 3P₂²
= (150 × 25) + (200 × 25) - (2 × 25 × 25) - (3 × 25²)
= 4375
In conclusion, the revenue is 4375.
Learn more about revenue on:
https://brainly.com/question/25623677
Microsoft wants to administer a satisfaction survey to its current customers. Using their customer database, the company randomly selects 50 customers and asks them about their level of satisfaction with the company. What type of sampling is used? A. Systematic B. Convenience C. Simple random D. Cluster E. Stratified
Answer:
Simple random
Step-by-step explanation:
There are various methods which may be employed when we intend to select a certain few from a larger group of subjects. The simple random sampling may be described as the most basic form of random sampling whereby a smaller group or subset is chosen from the larger population entirely by chance (each subject or member of the population has equal chances of being selected). A simple random sampling, the larger group isn't partitioned or subdivided prior to selection, the subsets are just selected as they are. In the scenario above, the database is the population and the 50 samples are selected directly from the database without splitting or prior partioning of the population data.
Can someone help me with this?
9514 1404 393
Answer:
π/4, 7π/4
Step-by-step explanation:
Adding √2 and dividing by 2 makes the equation ...
cos(θ) = (√2)/2
The first-quadrant solution is ...
θ = arccos((√2)/2) = π/4
The angle in the 4th quadrant with the same reference angle will have the same cosine value.
θ = 2π -π/4 = 7π/4
The two solutions are θ = π/4, 7π/4.
Find in the missing values to make the equations true.
Answer: 21
12
Log8(8 is under the log) the answer is 7
Step-by-step explanation:
Help me out
Answer required
Answer:
a. rational
b. irrational
c. irrational
d. rational
e. rational
f. rational
plz mark me as brainliest
[tex] 1)\displaystyle{} \: \sqrt{4} = \sqrt{2 \times 2} = \sqrt{2} \\ \: \: \: \bold{irrational \: number}[/tex]
[tex]2) \displaystyle{} \: \sqrt{3} = \bold{irrational \: number}[/tex]
[tex] \sqrt{7} \: \: = \bold{irrational \: number}[/tex]
[tex] 3) \: \: \displaystyle \frac{3}{5} \bold{irrational \: number}[/tex]
[tex] \displaystyle \: \frac{3}{5} \: \bold{rational \: number}[/tex]
[tex] \displaystyle{}\frac{1}{4} \bold{rational \: number}[/tex]
[tex] \displaystyle{} \: - 2.57 \: \bold{rational \: number}[/tex]
Note - if digit have root ( radical sign ) so number is irrational but digit have do not radical sign so number is rational.
An investigator wishes to estimate the mean number of flight hours of pilots who fly for regional airlines. Assuming that the standard deviation of the number of hours is 120 hours, the minimum sample size needed in order to construct a 99% confidence interval for the mean number of hours of flight time of all such pilots, to within 50 hours, is about
Answer:
The minimum sample size needed is 39.
Step-by-step explanation:
We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:
[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]
Now, we have to find z in the Ztable as such z has a pvalue of [tex]1 - \alpha[/tex].
That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.
Now, find the margin of error M as such
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.
Assuming that the standard deviation of the number of hours is 120 hour
This means that [tex]\sigma = 120[/tex]
The minimum sample size needed in order to construct a 99% confidence interval for the mean number of hours of flight time of all such pilots, to within 50 hours, is about?
The minimum sample size needed is n.
n is found when [tex]M = 50[/tex]
So
[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]
[tex]50 = 2.575\frac{120}{\sqrt{n}}[/tex]
[tex]50\sqrt{n} = 2.575*120[/tex]
[tex]\sqrt{n} = \frac{2.575*120}{50}[/tex]
[tex](\sqrt{n})^2 = (\frac{2.575*120}{50})^2[/tex]
[tex]n = 38.19[/tex]
Rounding up
The minimum sample size needed is 39.
Help me to find the surface area pls :( :(
Answer:
154.521
Step-by-step explanation:
Have a good day!
Answer:
154.521
Step-by-step explanation:
Multiply (2-5i)(2+5i)
Answer:
29
Step-by-step explanation:
4 - 25i^2
4 - 25x(-1)
4 + 25 = 29
the ^2 means exponent 2
I need help with these problem
9514 1404 393
Answer:
97,264.64 yd²
Step-by-step explanation:
The circumference of a sphere is the circumference of a circle with the same radius:
C = 2πr
The area of a sphere is given by the formula ...
A = 4πr²
In terms of circumference, that is ...
A = 4π(C/(2π))² = C²/π
Using the given values, the area of the sphere is ...
A = (552.64 yd)²/3.14 = 97,264.64 yd²
Answer:
97, 264.64 yd²Step-by-step explanation:
The circumference of a sphere is the circumference of the circle with the same radius:
C= 2πr
The area of a sphere is given by the formula...
A= 4πr²
In terms of circumference, that is...
A= 4π(C/(2π))²=C²/π
Using the given values, the area of the sphere is ...
A= (552.64 yd)²/3.14= 97, 264.64 yd²
Can someone please help me!!!
Mr Soto bought some dvds each DVD cost 13.55 if Mr Soto did not spend more Thales 75$ which inequality could be used to find d the number of DVDs Mr. Soto bought
Answer:
c
Step-by-step explanation:
C is the only equality that no matter what, the value would be $75 or less
The hypotenuse of a right triangle is 12.4 ft. One of the other two sides is 5.8 ft How
long is the third side?
VERY EASY, WILL GIVE 50 POINTS FOR CORRECT ANSWER ASAP AND WILL GIVE BRAINLIEST.
Select the correct comparison
Answer:
b
Step-by-step explanation:
please help me i’ll give brainliest
Answer:
105 degrees
Step-by-step explanation:
You need to understand the properties of corresponding angles and supplementary angles.
Walmart is selling
school supplies: 5
notebooks only cost
$4.02! How much
would znotebooks
cost? What about 7
notebooks?
Plz help! :)
Answer:
2 notebooks are $2.48, 7 notebooks are $8.68
Step-by-step explanation:
Unit rate is 1.24
1.24x2= $2.48
1.24x7= $8.68
What is integration of 3x^2
1. What is your daily income if you earn $10.75/h as a camp counsellor and you work
10 hours per day?
Find the value of x.
(a)
(10.7)" = 2
3x92x1 = 27*
(b)
Step-by-step explanation:
where is x in the question
What value of x makes this equation true?
12x - 15 = 6 - 36
7. carmen estimates that deductions from his gross pay will be 25%. assuming the weekly gross pay is $229.22, carmen can expect the weekly paycheck to be $_________.
Amount of deduction
25% of 229.22229.22/4$57.3Net pay check
229.22-57.3$171.92Answer:
$171.92
Step-by-step explanation:
Given information:
Weekly gross pay = $229.22Gross pay is the pay received before any deductions are taken.
Therefore, if 25% of deductions are taken from the given gross pay, the net pay will be 75%, since 100% - 25% = 75%.
Therefore, to calculate the expected weekly paycheck, find 75% of the gross weekly pay:
75% of $229.22
= 0.75 × 229.22
= 171.915
= $171.92
The weights of newborn baby boys born at a local hospital are believed to have a normal distribution with a mean weight of 3950 grams and a standard deviation of 374 grams. If a newborn baby boy born at the local hospital is randomly selected, find the probability that the weight will be less than 4473 grams. Round your answer to four decimal places.
Answer:
0.9192 = 91.92% probability that the weight will be less than 4473 grams.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
Mean weight of 3950 grams and a standard deviation of 374 grams.
This means that [tex]\mu = 3950, \sigma = 374[/tex]
Find the probability that the weight will be less than 4473 grams.
This is the pvalue of Z when X = 4473. So
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{4473 - 3950}{374}[/tex]
[tex]Z = 1.4[/tex]
[tex]Z = 1.4[/tex] has a pvalue of 0.9192
0.9192 = 91.92% probability that the weight will be less than 4473 grams.
Write the inequality for the description. Use x as your variable.
Mary has at least 14 pairs of shoes in her closet.
Answer:
x≤14
Step-by-step explanation:
≤ = greater than/equal to(at least)
id really appreciate it if someone helped me , i’ll give you brainliest
Answer: it’s the same 110 degrees
Step-by-step explanation:
Answer: 110 is the correct answer
100 Points for this
This series of transformations is performed on a quadrilateral:
a dilation by a factor of 4 with the origin as the center of dilation
a reflection across the y-axis
a 90° counterclockwise rotation about the origin
a translation 3 units down
Arrange the functions representing these transformations in the order in which the transformations occur.
(The tiles are)
f(x, y) = (-4x, 4y)
g(x, y) = (4x, -4y)
h(x, y) = (4x, 4y)
i(x, y) = (4y, 4x − 3)
j(x, y) = (4y, 4x)
k(x, y) = (-4y, -4x)
l(x, y) = (-4y, -4x − 3)
Answer:
l(x,y) = (-4y, -4x - 3)Step-by-step explanation:
Let's start with function (x, y)
Transformations in the given order result in following
A dilation by a factor of 4 with the origin as the center of dilation
This results in both coordinates multiplied by 4(x, y) → (4x, 4y)A reflection across the y-axis
This results in x-coordinate changing sign to opposite(4x, 4y) → (-4x, 4y)A 90° counterclockwise rotation about the origin
This results in x-coordinate swapping with negative y-coordinate (-4x, 4y) → (-4y, -4x)A translation 3 units down
This results in y-coordinate change by -3(-4y, -4x) → (-4y, 4x - 3)The final function is:
l(x) = (-4y, -4x - 3)Answer:
l(x) = (-4y, -4x - 3)
I got the same answer as Mhanifa and if you want the explanation check his, because mine sucks :(
I NEED HELP PLESE I BEG YOUUUU
solve the proportion for x. 12/x = 15/24
Answer:
i think x is 19.2
Step-by-step explanation:
solve x by cross multiplying
