The number of units that will maximize revenue will be 672 units.
How to calculate the revenue?From the given information, p = 336 - 0.5x. The revenue function will be:
= (336 - 0.5x)x
= 336x - 0.5x²
This will be equated to 0. This will be:
336x - 0.5x² = 0
0.5x² = 336x
0.5x = 336
x = 336/0.5
x = 672
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PLSSSSSS ANGLES I need helppppp
Answer: B. 55°
Step-by-step explanation: A single line is 180°. There are two of those lines that are both marked, meaning that they are equal. If this is true, then that must be the same for the other side. We would just have to find the angle for that.
180°- 125° = 55°
Therefore, the answer is B. 55°.
I hope this helps! Pls give brainliest!! :)
These points are linear.
Find the slope.
x
012345
y 3 6 9 12 15 18
slope = [?]
Answer:
Step-by-step explanation:
Simplify
[tex](2x - 3) - (x - 4)[/tex]
Factorize
[tex]16 - 4 {x}^{2} [/tex]
Answer + Explanation:
#1 Simplification:
(2x - 3) - (x - 4)
2x - 3 - x + 4
2x - x - 3 + 4
x + 1
#2 Factorization:
16 - 4x²
-4x² + 16
-4(x² - 4)
-4(x² - 2²)
-4(x + 2)(x - 2)
All the edges of the object in the diagram are equal in length. The object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges. What is the shape of the cross-section resulting from the cut?
The shape of the cross-section resulting from the cut is rhombus.
What is a rhombus?A rhombus simply means a shape that has opposite sides to be parallel and the sides are equal.
Given:
object is cut by a vertical plane containing A and B and bisecting two of the horizontal edges.
Edges of the object in the diagram are equal in length and that the object is cut by a vertical plane containing A and B.
Hence, the shape of the cross-section resulting from the cut is a rhombus.
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Iliana cubed the number of flowering plants in her garden, then added 2 vegetable plants. Let p represent the original number of plants in her garden. Which shows an expression to represent the total number of plants in her garden and the total number of plants if p = 3?
3 p minus 2; when p = 3 the number of plants is 7
3 p + 2; when p = 3 the number of plants is 11
p cubed minus 2; when p = 3 the number of plants is 25
p cubed + 2; when p = 3 the number of plants is 29
Total number of plants is p³ +2 ; when p = 3 the number of plants is 29 , Option D is the right answer.
What is an Equation ?Equation is mathematical statement formed when two algebraic expressions are equated using an equal sign.
It is given that
Let p represent the original number of plants in her garden.
then total number of plants in her garden = p³ +2
the total number of plants if p = 3 is
=3³ +2
= 29
p³ +2 ; when p = 3 the number of plants is 29 , Option D is the right answer.
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If one pair of opposite sides of a quadrilateral is both congruent and____ then the quadrilateral is a parallelogram then the
Answer:
parallel
a quadrilateral can be a parallelogram only and only if pair of opposite sides are equal and parallel.
15 trucks can carry 26,850 kg weight. Find the weight carried by one truck.
[tex] \huge\underline{\underline{\boxed{\color{blueviolet}{ANSWER}}}}[/tex]
★ 15 trucks can carry 26,850 kg weight
★ We've to find the weight carried by one truck
[tex]\huge \pink {\overline{ \quad \quad \quad \quad \quad \quad \quad\quad \quad}}[/tex]
[tex] \sf{Number \: of \: trucks = 15 }[/tex]
[tex] \sf{Weight \: carried \: by \: one \: truck = \frac{26,850Kg}{15} }[/tex]
[tex] \sf \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \:= 1790Kg[/tex]
Therefore , the weight carried by one truck is 1790 kg
you buy a car for 13000
The correct answer is option D which is the model will be
A = 13000( 0.72 ) [tex].^t[/tex].
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that:-
The cost of the car is $13000.The depreciation is 28%.The expression will be formed as:-
As we can see that the depreciation of the car per year is 28% so the amount of the car is decreased by 28 percent every year.
Now the remaining value of the car will be 100 - 28 = 78%. So the expression will be given as:-
A = 13000( 0.72 ) [tex].^t[/tex].
Therefore the correct answer is option D which is the model will be
A = 13000( 0.72 ) [tex].^t[/tex].
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Rewrite the polynomial in the form ax² + bx+c and then identify the values of a,
b, and c.
x
6
4x² +1
Which two activities are examples of data collecting?
A. Using the results of a race to predict who will win future races
B. Weighing dogs
C. Graphing the lengths of fish in a pond
D. Asking people what their favorite show is
Answer:
C and D.
Step-by-step explanation:
In option C, they are collecting data about the lengths of fish in a pond.
In option D, they are collecting data about people's favorite show.
Hope this helps!
If not, I am sorry.
need help asap! QUESTION BELOW
The IQR for male data is 10, the estimated difference between medians is 2, the box plot for males is symmetric and for females, the box plot is left side skewed.
What is the box and whisker plot?A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.
From the box plot:
Part A:
IQR for males data:
IQR = Q3 - Q1
The estimated value of Q3 is 15 (between 10 and 20)
The estimated value of Q1 is 5 (between 0 and 10)
IQR = 15 -5 = 10
Part B:
= Median(male) - Median(femal)
= 10 - 8
= 2
Part C:
The box plot for males is symmetric and for females, the box plot is left side skewed.
Part D:
There can be holidays for the outliers
Thus, the IQR for male data is 10, estimated difference between medians is 2, the box plot for males is symmetric and for females, the box plot is left side skewed.
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If you vertically stretch the exponential function f(x)=2^x by a factor of 3 what is the equation of the new function
If you vertically stretch the exponential function f(x)=2^x by a factor of 3, the resulting function will be y = 3*2^x
Exponential functionThe standard exponential function is expressed as:
y = ab^x
The value of x determines the nature of a graph whether vertical or horizontal stretch.
If x > 1, it is a vertical stretch
Given the function f(x) = 2^x, if you vertically stretch the exponential function f(x)=2^x by a factor of 3, the resulting function will be y = 3*2^x
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The table gives some information about the heights of 30 plants. Height, h in cm Frequency 0
Answer:
C. 20 ≤ h < 30
Step-by-step explanation:
Median
The value in the middle of the data set when all the data values are placed in order of size.
As this is grouped data, we can only estimate the median.
Add an extra row to the table showing the Cumulative Frequency:
[tex]\begin{array}{|c|c|c|}\cline{1-3} \sf Height & \sf Frequency & \sf Cumulative\:Frequency \\\cline{1-3} \sf 0 \leq h < 10 & 1 & 1 \\\cline{1-3} \sf 10 \leq h < 20 & 9 & 10 \\\cline{1-3} \sf 20 \leq h < 30 & 7 & 17 \\\cline{1-3} \sf 30 \leq h < 40 & 13 & 30 \\\cline{1-3}\end{array}[/tex]
To find which class the median is in, divide the total number of data values by 2:
[tex]\implies \sf \dfrac{n}{2}=\dfrac{30}{2}=15[/tex]
Therefore, there are 15 values less than or equal to the median.
From the table, the 11th to 17th data values are in class 20 ≤ h < 30. Therefore, the median must be in the 20 ≤ h < 30 class.
Answer:
C (look at explain!)
Step-by-step explanation:
express x^2 +4x-7 in the form (x+a)^2 -b where a and b are integers
[tex]x^2+4x-7=x^2+4x+4-11=(x+2)^2-11[/tex]
PLEASE HELP ME ASAP!
Answer:
44.7 units of time
Step-by-step explanation:
Note: It seems the question is wrong when it states the relationship of distance. If d is the distance from the ground, at t = 0, we get d = 0 too which means with no time spent, Math Man hits the ground.
It assumed d = t²*0.25 is the distance from the top of the building.
We know the height of the building is 500 meters.
We need to find the value of t, when d = 500 m:
0.25t² = 500t² = 500/0.25t² = 2000t = √2000t = 44.7 units of time (assumed seconds)The sum of 16 and a number is less than 24. Which of the following inequalities
expresses the solution?
Inequalities help us to compare two unequal expressions. The correct option is A.
What are inequalities?Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.
The complete question is:
The sum of 16 and a number is less than 24. Which of the following inequalities expresses the solution?
x<8
x>8
x=8
x<-8
Given the sum of 16 and a number is less than 24. Let the number be represented by x, therefore,
16 + x < 24
x < 24 - 16
x < 8
Hence, the correct option is A.
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Make u the subject formula
Please help
X=4uy/M
Answer:
[tex]\frac{XM}{4y}=u[/tex]
Step-by-step explanation:
First, multiply both sides by M.
X M = 4uy
Now, divide both sides by 4y.
[tex]\frac{XM}{4y} =\frac{4uy}{4y}[/tex]
Therefore,
[tex]\frac{XM}{4y}=u[/tex]
Class A has 10 pupils and class B has 18 pupils. Both classes sit the same maths test. The mean score for class A is 34. The mean score for both classes is 55. What is the mean score (rounded to 2 DP) in the maths test for class B?
Answer:
Mean score for the class B is 66.66
Step-by-step explanation:
Mean : It is the sum (total) of all the values in a set of data, such as numbers or measurements, divided by the number of values on the list.
Mean = sum of all numbers/ total numbers
Given,
mean score of class A = 34.
mean score of both the classes = 55
mean score of class a = sum of marks/total strength of class
34 = sum of marks/10
340 = sum of marks of class A
similarly, Mean score of both classes
= ( sum of marks of class A and class B)/(total students in both classes)
= (340 + sum of marks of class B)/ 28
55 = (340 + sum of marks of class B)/ 28
55 × 28 = (340 + sum of marks of class B)
1540 - 340 = sum of marks of students of class B
1200 = sum of marks of students of class B
now to find Mean score of class B
sum of marks of students of class B / total students in class B
1200/18 = 66.66 answer
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A comparison of the actual number of people who violate the speed limit to the total number of drivers is an example of _______.
A comparison of the actual number of people who violate the speed limit to the total number of drivers is an example of a rate
What is a rate?
A rate is known as the quantity measured with respect to another measured quantity. It refers to the comparison of a part to a whole.
It is also the measure of a part with respect to a whole or a proportion.
Therefore, a comparison of the actual number of people who violate the speed limit to the total number of drivers is an example of a rate
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The probability distribution for a random variable x is given in the table. Probability Find the probability that x=-10
Answer:.20
Step-by-step explanation:
According to what are written in the table the probability for x=-10 is .20
If x•x = 10, what is the value of X?
Answer:
x = 3.16
Step-by-step explanation:
x * x = 10
[tex]x^2 = 10[/tex]
square root both sides
[tex]\sqrt{x^2} = \sqrt{10}[/tex]
[tex]x = \sqrt{10}[/tex]
x is appr. 3.16
Answer:
x= √-10, √ 10
Step-by-step explanation:
Can You Please Help Me, I Would Really Appreciate It!!
Let's take this problem step by step:
To find the ordered pair of the system:
⇒ must set both equations equal to each other
⇒ solve for 'x'
Let's solve:
[tex]x^2-2x+3=-2x+12\\x^2-2x+2x+3-12\\x^2-9=0\\(x+3)(x-3)=0[/tex]
Let's find the x-values:
[tex](x+3)=0\\x=-3\\\\(x-3)=0\\x+3[/tex]
Let's find f(x)'s value for each 'x':
[tex]x=-3\\f(-3)=-2(-3)+12=6+12=18\\\\x=3\\f(3)=-2(3)+12=-6+12=6[/tex]
Answer: (3, 6), (-3,18)
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K is the midpoint of a line segment JL. If JK= 6x + 7 and KL = 9x-2, find the length of JL
Answer:
x = 3
Step-by-step explanation:
6x + 7 = 9x - 2
-3x = -9
x = 3
a bag has 6 green, 4 red, 5 yellow and 15 blue marbles what is the possibility that the marble is red or blue
Answer: 19/30 or about 63%
Step-by-step explanation: Add all your marble up so 6+4+5+15 to get the total amount of options or marbles in this case. Now find out how many red and blue marbles you have so 4+15 or 19 now you can divide the red and blue marbles by the total amount of marbles to get your percentage of pulling a red or blue marble from the bag.
15.95 to the nearest cent
Step-by-step explanation:
95 95 branded to the nearest 10 with the number line
deter determine the two constructive multiples of 10 that bracket 95
9 is between 90 and 100
asteroid on the number line 95 is the midpoint between the 90 and 100
therefore 95 rounding to the nearest 10 is equal to 100
Determine which graph represents a reflection across the x-axis of f(x) = 3(1.5)x.
The reflection is written as:
[tex]g(x) = -3*(1.5)^x[/tex]
And the graph can be seen below.
How to get the graph of the reflection?
Here we have the function:
[tex]f(x) = 3*(1.5)^x[/tex]
A reflection across the x-axis is given by:
[tex]g(x) = -f(x).[/tex]
Then, replacing the function f(x) by the actual equation:
[tex]g(x) = -3*(1.5)^x[/tex]
The graph of the function g(x) can be seen below:
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Find the length of the side TS
16.39492
Step-by-step explanation:
HELPPP!! SEEE PHOTOOO
Answer:
angle s = 22
angle r = 117
angle q = 41
Step-by-step explanation:
so all of the angles equal to 180 degrees in a triangle
so you add all of t he angles like this:
x+5x+7x+2x-3=180
collect all of the like terms,
8x + 4 = 180
subtract 4 from both sides, which leaves you with 8x = 176
divide both sides by 8 leaving x on its own.
x = 22
angle s = 22
angle r = (5x22)+7 which is 117
angles q = (2x22)-3 which is 41
y = 5x, what is the domain of this function?
Answer: The domain would be all real numbers.
Step-by-step explanation:
This is not a piecewise function, so it means that the domain, which means all possible x values, is all real numbers, not imaginary.
GIVING 100 POINTS PLEASE HELP!! Consider the expression 3+(−4)−2−(−1). answer these three questions.
How many balloons should you add? How many should you remove?
How many weights should you add? How many should you remove?
What is the final answer?
Answer:
Step-by-step explanation:
12 becuase you have to read the equasion and do the problem