Answer: You can divide a number by a fraction by flipping over the fraction and multiplying them together.
Step-by-step explanation:
For example:
Lets say we wanted to divide 8 by 3/4
8÷[tex]\frac{3}{4}[/tex]
Change the division symbol into multiplication, and flip over the fraction (a great way to remember doing this is to remember the phrase Copy Dot Flip - Copy the first digit as it is, put a dot for multiplication, and then flip the fraction over)
8 ·[tex]\frac{4}{3}[/tex]
Now, just multiply and reduce/simplify the fraction if needed
Final answer is [tex]\frac{32}{3}[/tex], no need to simplify or reduce
Hope that helps!!
What is the area of a rectangle with sides measuring 2x+3 and 3x-1 feet
HELP WITH NUMBER 6 ASAP PLEASE!!!!!!!
if loga81=4, find value of a?
Answer:
[tex]\huge\boxed{a=4}[/tex]
Step-by-step explanation:
[tex]\log_xy=z\iff x^z=y\\\\\text{for}\ x\neq1\ \wedge\ x>0\ \wedge\ y>0\\==================\\\\\log_a81=4\iff a^4=81\\\\a^4=\underbrace{3\cdot3\cdot3\cdot3}_{=81}\\\\a^4=3^4\Rightarrow a=3[/tex]
(4.3 x 10^-3)(2 x 10^-2) in standard form
Answer:
8.6•10^-5 or 0.000086
The weekly demand function for x units of a product sold by only one firm is
p = 800 − 0.5x dollars, and the average cost of production and sale is C(with a line on top) = 300 + 2x dollars.
(a) Find the quantity that will maximize profit.
(b) Find the selling price at this optimal quantity.
(c) What is the maximum profit?
Answer:
a) x = 798 is the quantity that maximizes the profit
b)po(x) = 401 $/unit
c)P(max ) = 636105 $
Step-by-step explanation:
The weekly demand function is equal to the price by unit and the Revenue function is weekly demand times quantity of units then:
R(x) = p(x) * x
R(x) = ( 800 - 0,5*x ) * x
R(x) = 800*x - 0,5*x²
The equation for the profit is:
P(x) = R(x) - C(x)
P(x) = 800*x - 0,5*x² - ( 300 + 2*x)
P(x) = 798*x - 0,5*x² - 300
a) P(x) = 798*x - 0,5*x² - 300
Taking derivatives on both sides of the equation:
P´(x) = 798 - x
If P´(x) = 0 then 798 - x = 0
x = 798 is the quantity that maximizes the profit
b) Selling price for the optimal quantity is:
p(x) = 800 - 0,5*x
p(x) = 800 - 0,5* 798
po (x) = 800 - 399
po(x) = 401 $/unit
c) Pmax = ?
P(x) = 798*x - 0,5*x² - 300 by subtitution of x = 798
P(max) = 636804 - 399 - 300
P(max ) = 636105 $
a) The quantity that will maximize profit is [tex]100 \ units[/tex].
b) The selling of at this optimal quantity is [tex]\[/tex][tex]750[/tex] per unit.
c) So, the maximum profit is [tex]\[/tex][tex]25000[/tex].
Demand Function:A demand function is a mathematical equation that expresses the demand for a product or service as a function of its price and other factors such as the prices of the substitutes and complementary goods, income, etc.
The given demand function,
[tex]P=800-\frac{1}{2}x[/tex]
So, the revenue function is,
[tex]R(x)=p.x\\R(x)=800-x-\frac{1}{2}x^{2}[/tex]
[tex]\Rightarrow[/tex]Average cost is
[tex]\bar{C}=300+2x[/tex]
So, the total cost function is,
[tex]C\left ( x \right )=\bar{C}.x \\ C\left ( x \right )=300x+2x^{2}[/tex]
a) Profit function:
[tex]P\left ( x \right )=R\left ( x \right )-C\left ( x \right ) \\ =800x-\frac{1}{2}x^{2}-300x-2x^{2} \\ P\left ( x \right )=500x-\frac{5}{2}x^{2}[/tex]
For maximum,
[tex]{P}'\left ( x \right )=0 \\ 500\left ( 1 \right )-\frac{5}{2}\left ( 2x \right )=0 \\ 500-5x=0 \\ x=100[/tex]
b) Selling Price:
[tex]P=800-\frac{1}{2}x \\ at \ x=100 \\ P=800-\frac{1}{2}\left ( 100 \right ) \\ =\$ 750[/tex]
c) Maximum Profit:
[tex]P\left ( x \right )=500x-\frac{5}{2}x^{2} \\ P\left ( 100 \right )=500\left ( 100 \right )-\frac{5}{2}\left ( 100 \right )^{2} \\ P\left ( 100 \right )=\$ 25000[/tex]
Learn more about of Demand Function: https://brainly.com/question/25938253
Is the square root of 14 +6.2 less than 3 pi - 8.2?
Answer:
No. √14 + 6.2 is more than 3π - 8.2
Step-by-step explanation:
√14 + 6.2
√20.2
≈ 4.494
π ≈ 3.14159
3(3.14159) - 8.2
9.42577 - 8.2
1.22477
Therefore, the answer is no.
What is 4/9 - 1/3 =
help
Answer:djjdd
Please I love free points secy
Step-by-step explanation:
Ok but guys is 10009
Please Help! :(
Six teams are out on the field playing soccer. The teams all have the same number of players. The head coach asks for 2 players from each team to come help him move some equipment. Now there are 78 players on the field. Write and solve an algebraic equation whose solution is the number of players, p, on each team.
Write the Equation and the answer please
Answer: there is 90 players in total
Step-by-step explanation:
6x 2= 12
78 + 12 = 90
Answer:
x=15
Step-by-step explanation:
6(x−2)=78 (or 6x−12=78), x=15
13
In the figure shown below, if line mis parallel to line n, then find the value of x. (This is a 2 part question.)
m
(2x-10)
(65 - x)
Part A
Write the equation to find the value of x. (DO NOT find x, just write the equation.)
(2x - 10) (65 - x)
Part B
What is the value of x?
Y
Answer:
2x-10 = 65-xStep-by-step explanation:
just add up both alternate internal angles as they are both equal
so, the equation is: 2x-10 = 65-x
Answer:
The right equation will be 2x - 10 = 65 - x (you were wrong lol)
Step-by-step explanation:
We have: 2x - 10 = 65 - x
=> 2x - 10 + x = 65
=> 3x = 65 + 10 = 75
=> x = 75/3 = 25
P/S: After some little chats with the others, this might be wrong :(
One of the dog treats in Shelley’s shop is 8 inches long and 3.2 inches wide. She wants to make a miniature version that has proportional dimensions. If the miniature treat will be 3 inches long, how wide should it be?
Answer:
1.2in
Step-by-step explanation:
Answer:
(1) 1.2 inches
How can you use a number line to find the sum of -8 and 9?
Answer:
The answer is 1
Step-by-step explanation:
If you look at the number line and start counting from -8 and count 9 to the right then the number that you end on is the answer.
PLEASE ANSWER I WILL GIVE YOU BRAINLIEST!
Name the points which satisfy the conditions. In the second quadrant
9514 1404 393
Answer:
C, M
Step-by-step explanation:
The second quadrant is the upper left quadrant. There, x-values will be negative and y-values will be positive.
__
Point G is on the boundary with the 3rd quadrant, so is probably not considered to be in either of those quadrants.
Answer: C M
Step-by-step explanation:
Think of a problem that you may be interested in that deals with a comparison of two population means. Propose either a confidence interval or a hypothesis test question that compares these two means. Gather appropriate data and post your problem (without a solution) in the discussion topic. Later, respond to your own post with the solution for others to check their work. For example, you may want to know if the average weight of a rippled potato chip is the same as the average weight of a non-rippled potato chip. You may weigh rippled regular potato chips fro m a large bag and find weights of 1.7,1.9,2.4,1.3, 1.7, and 2.0 grams. You may weigh non-rippled potato chips from another larg bag and find weights of 1.8, 1.6,1.9, 1.9, and 1.4 grams. Assume a random sample was drawn. Think of a problem that you may be interested in that deals with a comparison of two population proportions. Propose either a confidence interval or a hypothesis test question that compares these two proportions. Gather appropriate data and post your problem (without a solution) in the discussion topic. Later, respond to your own post with your own solution. For example, you may believe that the proportion of adults in California who are vegetarians is more than the proportion of adults in New Hampshire who are vegetarians. In two independent polls, you may find that 109 out of 380 California residents are vegetarians and 39 out of 205 New Hampshire residents are vegetarians. For your response to a classmate (two responses required, one in each option), solve your classmate's confidence interval or hypothesis test problem, using a significance level not previously used Make sure that you use appropriate terminology and specify whether you are using the classical method or the p-value method.
Answer:
Responds to my friend
Decision rule
Fail to reject the null hypothesis
Conclusion
There is no sufficient evidence to conclude that the proportion of residents in California who are vegetarians is higher than the proportion in New Hampshire who are vegetarian
Step-by-step explanation:
Here we are going to consider this question
For example, you may believe that the proportion of adults in California who are vegetarians is more than the proportion of adults in New Hampshire who are vegetarians. In two independent polls, you may find that 109 out of 380 California residents are vegetarians and 39 out of 205 New Hampshire residents are vegetarians.
Here we are going to be solving the hypothesis test problem and we will be making use of the p-value method
From the question the we are told that
The first sample size is [tex]n_1 = 380[/tex]
The second sample size is [tex]n_2 = 205[/tex]
The number of California residents that are vegetarian is [tex]k = 109[/tex]
The number of New Hampshire resident that are veterinarian is [tex]u = 39[/tex]
Generally the sample proportion for California residents is
[tex]\^ p_1 = \frac{k}{n_1}[/tex]
=> [tex]\^ p_1 =\frac{109}{380}[/tex]
=> [tex]\^ p_1 = 0.2868 [/tex]
Generally the sample proportion for New Hampshire residents is
[tex]\^ p_2 = \frac{39}{205}[/tex]
=> [tex]\^ p_2 = 0.1902 [/tex]
The null hypothesis is [tex]H_o : p_1 -p_2 = 0[/tex]
The alternative hypothesis is [tex]H_a : p_1 -p_2 > 0[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{(\^ p_1 - \^ p_2 ) -0}{\sqrt{ \frac{\^ p_1 (1-\^p_1 )}{n_1} + \frac{\^ p_2 (1- \^p_2)}{n_2} } }[/tex]
=> [tex]t = \frac{( 0.2868 - 0.1902) -0}{\sqrt{ \frac{0.2868 (1-0.2868 )}{380} + \frac{0.1902(1- 0.1902)}{205} } }[/tex]
=> [tex]t = 0.036[/tex]
Generally the degree of freedom is mathematically represented as
[tex]df = n_1 + n_2 -2[/tex]
=> [tex]df = 380 + 205 -2[/tex]
=> [tex]df = 583/tex]
Generally the probability of [tex]t = 0.036[/tex] at a degree of freedom of [tex]df = 583/tex] from the t- distribution table is
[tex]p-value = P(t > 0.036) = 0.48564732[/tex]
Let take the level of significance to be [tex]\alpha = 0.05[/tex]
So from the values obtained we see that [tex]p-value > \alpha[/tex] hence the decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to conclude that the proportion of residents in California who are vegetarians is higher than the proportion in New Hampshire who are vegetarian
Please find the area and circumference of
the circle below
Answer:
area: 153.86
Circumference: 43.96 :D
Step-by-step explanation:
Brandon enters bike race. He bikes 9 1/2 miles every 1/2 hour
On the beach boardwalk there are 20 different places to get food 20% of them are ice cream shops how many ice cream Shoppe’s are in the park
Answer:
( 4 )
Step-by-step explanation:
Hope this helps
also go to g-mail to check out my
Type in Brandon Acevedo
okay
A car sharing service offers a membership plan with a $50 per month fee that includes 10 hours of driving each month and charges $9 for each additional hour
(A) Write a piecewise definition of the cost F(x) for a month in which a member uses a car for x hours
(B) Graph F(x) for 0 < x s 15
(C) Find lim x--->10 F(x), lim x--->10F(x), and lim x--->10F(x), which- ever exist.
Answer:
A) F(x) = 50 + ( x - 10 )*9
B) Graph
C) lim ( x ⇒ 10) F(x) = 50
Step-by-step explanation:
A) F(x) = 50 + ( x - 10 )*9 since the first 10 hours are included in initial fee
B) In Annex
C) lim (x ⇒ 10) F(x) = 50 + ( 10 -10)*9
lim ( x ⇒ 10) F(x) = 50 + 0
lim ( x ⇒ 10) F(x) = 50
Which of these is the triangle proportionality theorem? First person to answer CORRECTLY gets brainliest
Answer: A.
Step-by-step explanation: Brainliest plz
Herman is standing on a ladder that is partly in a hole. He starts out on a rung that is 6 feet under ground, climbs up 14 feet, then climbs down 11 feet. What is Herman’s final position, relative to ground level?
Answer:
Are there answers
Step-by-step explanation:
Answer:
answer
Herman is standing on a ladder that is partly in a hole. He starts out on a rung that is 6 feet under ground, climbs up 14 feet, then climbs down 11 feet. ...
Lines E, F, and G are parallel lines cut by transversal H as shown below. What is the value of
a+b+c+d?
Answer:
okay now i get it its not easy at first but look at it for a bit and yoll get it
Is f^-1(x) = x/9 - 5/9 a function?
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Given:
⠀[tex]f-¹(x)=\frac{x}{9}-\frac{5}{9}[/tex].
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • To find out:
⠀Is a function [tex]f-¹(x)=\frac{x}{9}-\frac{5}{9}[/tex] or not.
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Hello, ZoFlo2020!
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Answer (Response Explanation):
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀No, it is not. Such an example is not even possible to solve, to be honest. It doesn’t have a single solution to find at least an approximate part of its solution and answer.
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀;; ∥ • Sincerely, Your ElskerNorge! :)
⠀ ⠀ ⠀ ⠀ ⠀ ⠀ ⠀_____________
PLEASE HELP! 6TH GRADE MATH please write done what number you're doing
Answer:
# 10 is 4/3 or 1 and 1/3
#11 is 4/10 or 2/5
#12 is 2 and 3/4
#13 is 36/12 or 3 and 1/12
Step-by-step explanation:
i am not 100% sure on #13 btw
hope this helped!
p.s it would be cool if you gave me brainliest.
Answer:
Hey your answers on there are correct.
Step-by-step explanation:
Which number has the same absolute value
as 8
Answer:8
Step-by-step explanation:
PLZ HELP !!
Max deposited $1,300 into an account that pays 4.5% interest, compounded daily. At end of six years he has a balance of ?
Answer:
The final balance is $1,692.94.
The total compound interest is $392.94.
Step-by-step explanation:
1,300 x 0.045=___ x 6
16B+3.5W = 22 Antoine bikes part of the way on a 22 mile trail and walks the rest of the way. If he spends B hours biking and W hours walking, the trip is modeled by the equation shown above. What is the meaning of the 16B in the equation?
Answer:
Antoine bikes for 16B miles before starting his walk.
Step-by-step explanation:
16 is that speed which is covered in B hours by bike by Antoine
What is speed?Speed is defined as The rate of change of position of an object in any direction. Speed is measured as the ratio of distance to the time in which the distance was covered. Speed is a scalar quantity as it has only direction and no magnitude.
Speed = [tex]\frac{distance}{time}[/tex]
Given,
16B+3.5W = 22 an equation in which B is time covered by bike and W is time covered by walk
Antoine travels partially by bike and partially by walk, and total covered 22
That means 16B is the distance covered by bike, and 16 is its speed.
Hence, 16 is that speed which is covered in B hours by bike.
Learn more about speed:
https://brainly.com/question/7359669
#SPJ2
a stone which is dropped into a dry well hits the bottom in 2.2s how deep is the well. take g=10m/s
Answer:
23.7m
Step-by-step explanation:
Given parameters:
Time taken = 2.2s
Acceleration due to gravity = 10m/s
Unknown:
Depth of the well = ?
Solution:
To solve this problem, we simply apply one of the motion equations;
S = ut + [tex]\frac{1}{2}[/tex] gt²
where S = depth of the well
u = initial velocity
t = time taken
g = acceleration due to gravity
Input the parameters and solve for S;
Note initial velocity = 0;
S = [tex]\frac{1}{2}[/tex] x 9.8 x 2.2²
S = 23.7m
When is it appropriate to model data with a liner function? Give an example of real world data that can be modeled with a linear function. Include the linear function and a sample of the data
Answer:
The linear function would be:
C = 10t + 2
where C is the cost and t is time in months
Step-by-step explanation:
A spherical balloon is inflated with gas at a rate of 500 cubic centimeters per minute. Find the rates of change of the radius when r = 70 centimeters and r = 95 centimeters.
Answer:
for r= 70 cm
the rate is 0.008cm/s
for r=95cm
the rate= 0.0044cm/s
Step-by-step explanation:
kindly find attached a rough sketch of the circle and a detailed solution of the problem.
Given data
rate dv/dt=500cm^3
r=70cm
r=95cm
Help Please! :(
108 students went on a field trip. Three buses were filled and 27 students traveled in cars. How many students were in each bus?
Please include algebraic equation and answer.
Answer:
81
Step-by-step explanation:
Solve for j if aj+k=v
Answer:
j=v-k/a
Step-by-step explanation:
It's like order of operations backwards. So first, you would get rid of the k, by subtracting it from both sides. Then, to isolate j you would divide both sides by a.