Isaac started an iPhone screen replacement business. he charges $15 for each screen his shop replaces, the value of the marginal product of labor for the 5th worker is mathematically given as
M=$90
What is the value of the marginal product of labor for the 5th worker?Generally, It is the change in value or production that occurs when a new worker is hired.
Therefore, the value of the output from hiring 4 & 5workers
V4= $ 15* 43
V4= $ 645
and V8
V5=$ 15 * 49
V5 = $ 735
In conclusion, the marginal product
M= $ 750 - $ 645
M=$90
Read more about marginal
https://brainly.com/question/7781429
#SPJ1
HI IM GIVING BRAINLIESST CAN SOMEONE PLEASE EXPLAIN AND HELP
Answer:
∠FDE or ∠GDA
Step-by-step explanation:
The adjacent angle refers to the angle which lies right next to an angle, and the sum of the angles is 180, meaning they are supplementary.
Here, in this diagram, there are 2 adjacent angles for ∠FDG :
∠FDE∠GDAhelp me with this question please!!!!
Answer:
i believe its the second
Step-by-step explanation:
so sorry if im wrong
What is the probability of rolling an odd number or rolling a 2 on a six sided die? *
1/6
5/6
1/3
1/2
2/3
Guaranteed
Answer: 2/3
Step-by-step explanation:
First, find the probability of rolling an odd number. The odd numbers on a 6-sided die are 1, 3, and 5. This is a probability of 3/6.
Now, find the probability of rolling a 2. There's only one 2 on a die, so the probability is 1/6.
Next, add these together. 3/6 + 1/6 = 4/6. This can be reduced by dividing both the numerator and denominator by 2. This results in a final probability of 2/3.
Mary bought an aquarium that is cuboid in shape. The bottom is a rectangle with sides of 50 cm and 70 cm. The height of the aquarium is 4 dm. Find how many gallons of water this aquarium can hold. How much a square decimeter of glass was used to make the aquarium when it was open at the top and the bottom was plastic?
Answer:
Area of the paper required =7000 cm²
Step-by-step explanation:
Dimensions of an Aquarium:
Length (l) = 80 cm,
Breadth (b) = 30 cm,
Height (h) = 40 cm
/* According to the problem given,
Area of the paper required =
Area of the base + 2×Area of two side faces + Area of the back side
(Front side should be visible,So, it is not covered )
= lb+2×bh+lh
= 80×30+2×(30×40)+80×40
= 2400+2×1200+3200
= 2400+2400+3200
= 7000 cm²
Therefore,
Area of the paper required =7000 cm²
Step-by-step explanation:
The area of a rectangle is 42ft^2, and the length of the rectangle is 11 less than three times the width. Find the dimensions of the rectangle.
Answer:
7 ft ×6 ft
Step-by-step explanation:
Area of rectangle= length ×width
Let the length and width of the rectangle be L and W ft respectively.
Form 2 equations using the given information:
LW= 42 -----(1)
L= 3W -11 -----(2)
Substitute (2) into (1):
(3W -11)(W)= 42
Expand:
3W² -11W= 42
3W² -11W -42= 0
[tex]\boxed{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac } }{2a} }[/tex]
Applying quadratic formula:
[tex]W= \frac{ - ( - 11)± \sqrt{( - 11) {}^{2} - 4(3)( - 42) } }{2(3)} [/tex]
[tex]W= \frac{ 11± \sqrt{625 } }{6} [/tex]
[tex]W= \frac{ 11± 25}{6} [/tex]
W= 6 or W= [tex] - \frac{7}{3} [/tex] (reject)
Substitute W= 6 into (1):
L(6)= 42
L= 42 ÷6
L= 7
Thus the dimensions of the rectangle is 7 ft ×6 ft.
Fine the length of the third side. If necessary, write in simplest radical form
Answer:
7.2
Step-by-step explanation:
(6)^2 + (4)^2
36 + 16
52
square root of 52 = 7.2
1. Use the function f (x) to answer the questions:
f(x) = 2x^2 − 3x − 5
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
2. The graph below shows a company's profit f(x), in dollars, depending on the price of pens x, in dollars, sold by the company: (picture of graph attached below)
Graph of quadratic function f of x having x intercepts at ordered pairs 0, 0 and 6, 0. The vertex is at 3, 120.
Part A: What do the x-intercepts and maximum value of the graph represent? What are the intervals where the function is increasing and decreasing, and what do they represent about the sale and profit? (4 points)
Part B: What is an approximate average rate of change of the graph from x = 3 to x = 5, and what does this rate represent? (3 points)
Part C: Describe the constraints of the domain. (3 points)
I promise to give braInliest to the correct answer.
Answer:
A vertical shift is when the graph literally moves vertically, up or down. The movement is all based on what happens to the y-value of the graph. The y-axis of a coordinate plane is the vertical axis. When a function shifts vertically, the y-value changes.
Step-by-step explanation:
A discrete random variable is a variable that is randomly chosen and can take
on an infinite number of values over a specific range.
a. true
o
b. false
Answer:
false
Step-by-step explanation:
This is slightly urgent. Does anyone know how to cross multiply and divide 1/5 and 20/x? It would look like this if you need the equation.
1/5 * 20/x
Answer:
1/5 * 20/x. first do 1× x then do 5×20 and you will get 1x/100
Step-by-step explanation:
sorry this is all i know
Please help with this as soon as possible. Assignment due tomorrow!!
Two friends each had an auto loan of $20,000. One was repaid at
8% in 3 years at about $625 per month, and the other at 8% in 5
Years at about $405 per month. The total of the payments for the 5-year loan is how much more than the total for the 3-year loan?
Answer:
1,800 more
Step-by-step explanation:
12 × 3 = 36 months
$625 × 36 = $22,500
12 × 5 = 60 months
$405 × 60 = $24,300
$24,300 - $22,500 = $1,800
the interest is paid per month, so we first need to convert the years to months. after that we calculate the total amount of money paid over the specified years. and then we subtract the one from the other to get the difference.
Leon has a piece of cheese shaped like a triangular prism that he needs to wrap in plastic wrap. a triangular prism. the triangular base has a base of 4 inches and height of 3 inches. the height of the prism is 7 inches. what is the minimum amount of plastic wrap that he needs to cover the entire piece of cheese? 42 inches squared 84 inches squared 96 inches squared 108 inches squared
The minimum amount of plastic wrap needed to cover the entire piece of cheese is : 84 squared inches.
What is a triangular prism?A triangular prism is a solid geometrical shape made of three rectangles and two triangles.
Analysis:
base of triangle = 4 inches, height of triangle = 3 inches, length of rectangles = 7 inches
Total surface area of the triangular prism = area of two triangles + plus area of two slant rectangles + area of 1 straight face rectangle.
for the slant rectangle, the width of the rectangle, half the base of the triangle and the height of triangle form right- angled triangle using Pythagoras to solve for the width of the rectangle we have
[tex]l^{2}[/tex] = [tex]2^{2}[/tex] + [tex]3^{2}[/tex]
l = [tex]\sqrt{13}[/tex] = 3.6
Total surface area = 2(1/2bh) + 2(l x b) + L x B
= 2 ( 1/2 x 2 x 3) + 2( 7 x 3.6) + 7 x 4 = 84.4 = 84 squared inches.
in conclusion, the amount of plastic needed is 84 inches squared.
Learn more about triangular prism: brainly.com/question/1284982
#SPJ4
Why is cereal is packaged in rectangular boxes?
Answer:
A rectangular solid offers more volume while still maintaining a width acceptable to be gripped by one hand. Considering the average grip width available to humans is a couple inches wide, cereal boxes conform to this to allow one handed pouring.
Step-by-step explanation:
Try writing this on your own words if you want :)
11. Graph.
y - 2 = -2 (x + 2)
Answer:
y=-2x
Step-by-step explanation:
should look like a straight line, that is going up to the left. crossing (0,0) and (1,-2)
I am confused about this question
Answer:
X = 5
Step-by-step explanation:
When the line is going vertically down, the x-intercept is always the equation of the line.
Linear equations are typically organized in slope-intercept form:
[tex]y=mx+b[/tex]
m = slopeb = y-intercept (the value of y when the line passes through the y-axis)However, for vertical line equations, we write them a little differently:
[tex]x=d[/tex]
d = the x-intercept (the value of x when the line passes through the x-axis)We write equations for vertical lines like this because they might not always have a y-intercept.
Solving the QuestionWe're given:
Line L passes through the x-axis when x = 5This means that the x-intercept of the line is 5. Plug this into [tex]x=d[/tex]:
[tex]x=d[/tex]
[tex]x=5[/tex]
Answer[tex]x=5[/tex]
If a sprinkler rotated 90˚, paused, and then rotated another 90˚, how many degrees
did it rotate altogether
Answer:
180°
Step-by-step explanation:
Since a sprinkler rotates 90°, pauses,and then rotates another 90°
So, here total degrees be like
= 90° + 90°
= 180°
hence, The number of degrees did it rotate altogether should be considered as the 180 degrees.
what is the measure of the angle in degrees
Answer:
35°
Step-by-step explanation:
7π=210°
so I assume you just divide 210° by 6 and that comes out to 35°
I HOPE this helps!
The car that Ms. Garcia is buying comes with a choice of 3 trim lines (standard, sport, or luxury), 2 types of transmission (automatic or manual), and 8 colors. How many different option packages does Ms. Garcia have to choose from? Explain.
Answer:
Number of different options for Ms. Garcia are
3 * 2 * 8 = 48
So 48 options
Step-by-step explanation:
There are m ways to make 1st selection and n ways to make 2nd selection and p ways to make 3rd selection so thats why I did (m * n * p)
Without using a calculator, determine the value of: sin 60° x tan30° sec45°
Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
I've used 'unit triangles' to calculate various trig values without a calculator at all!
Please look at my image that I've attached. It includes all the steps necessary to find the answer to your question.
I've assumed prior knowledge of Pythagoras's Theorem & SOHCAHTOA.
Please give comments if you need further explanation from me!
Best of luck, Kenny!
Find h(j+1) if h(x)=4x² + 3x - 2
Answer:
h(j+1) = 4j² +11j +5
Step-by-step explanation:
A function is evaluated for a specific argument by substituting that argument for the variable in the function's expression. Then the expression is simplified.
__
For function ...
h(x) = 4x² +3x -2
The value of h(j+1) is ...
[tex]h(j+1)=4(j+1)^2 +3(j+1)-2\\\\= (4(j+1)+3)(j+1)-2=(4j+7)(j+1)-2=4j^2+11j+7-2\\\\\boxed{h(j+1)=4j^2+11j+5}[/tex]
Tell whether a triangle with the side lengths 65 feet, 72 feet, and 97 feet is a right triangle.
Answer:
when the sum of the squares of the sides are equal to the square of the hypotenuse
Step-by-step explanation:
we use Pythagoras, 97 is the hypotenuse, 65 and 72 the sides.
97² = 65² + 72²
97² = 97²
it is a right triangle
Need help please answer asap
#13
x²+3x-2-(2x²-x+6)x²+3x-2-2x²+x-6-x²+4x-8Option D
#14
.(a²+b²)²(a²)²+(b²)²+2a²b²a⁴+2a²b²+b⁴Answer:
13. (4) -x² + 4x - 8
14. (3) a⁴ + 2a²b² + b⁴
Step-by-step explanation:
Question 13
x² + 3x - 2 - [2x² - x + 6]x² - 2x² + 3x + x - 2 - 6(4) -x² + 4x - 8Question 14
(a² + b²)²(a²)² + 2(a²)(b²) + (b²)²(3) a⁴ + 2a²b² + b⁴One worker takes 20 hours to do a job. A second worker can do the same job in 15 hours. When a third worker is added, it takes the three of them 6 hours to do the job. How long would it take the third worker to do the job
Answer:
20 hrs
Step-by-step explanation:
t = third worker
1 / ( 1/20 + 1/15 + 1/t) = 6
1 = 6/20 + 6/15 + 6/t
3/10 = 6/t
t = 20 hrs
To make 3 litres of pale purple paint you mix:
1.5 litres red
1.25 litres of blue
0.25 litres of white paint.
a How much red paint is needed to make 8 litres of paint?
Answer:
4 litres.
Step-by-step explanation:
By proportion that would be:
1.5 * 8/3
= 12/3
= 4 litres.
Help me with this question please
Answer:
A) D) F)
Step-by-step explanation:
A) Since the graph is 10x10, and there are 10 seasons, it makes sense for A) to be an option
D) There is a total of 50 values that will be on the verticle axis, which seems like a fair number when the highest value is 37
F) (Season 8, 30 average points per game)
A kite has a part of a diagonal measure of 2.7 in and another part of 1.4 in find the area of the entire kite
Answer:
1.89 inch²
Explanation:
[tex]\sf \boxed{\sf \dfrac{pq}{2} } \ \ \ where \ p \ and \ q \ are \ the \ diagonals \ of \ the \ kite[/tex]
Here given:
diagonal 1: 2.7 inchdiagonal 2: 1.4 inchFind the Area:
[tex]\rightarrow \sf \dfrac{2.7 \ x \ 1.4}{2} \ = \ 1.89 \ in^2[/tex]
WILL GIVE BRAINLIEST!!!!
Which of the following is an example of an exponential function?
f(x) = 4x^3 + 2x^2 – 3x + 9
g(x) = log2(x)^3
h of x equals the quantity x squared plus 2x minus 7 end quantity divided by the quantity x plus 1
p(x) = 500(1.02)^x
Exponential functions are known to increase geometrically. An example of exponential function is p(x) = 500(1.02)^x
Exponential functionsExponential functions are known to increase geometrically. The standard exponential function is given as:
y = ab^x
a is the base
x is the exponent
From the given options, the function written in this form is
p(x) = 500(1.02)^x. Hence an example of exponential function is
p(x) = 500(1.02)^x
Learn more on exponential function here: https://brainly.com/question/12940982
#SPJ1
PLSS HELPP
Question 13 of 40
-
-
If f(x) = 2x² - 5 and g(x) = x² - 4x − 8, find (f – g)(x).
Options:
A. (f - g)(x) = -x^2 - 13
B. (f - g)(x) = x^2 + 4x + 3
C. (f - g)(x) = x^2 - 4x - 3
D. (f - g)(x) = 3x^2 - 4x - 13
Answer:
[tex](f - g)(x) = x^2 + 4x + 3[/tex]
Step-by-step explanation:
[tex]f(x) = 2x^2 - 5g(x) = x^2 - 4x - 8(f - g)(x)=2x^2 -5 - (x^2 -4x-8)[/tex]
[tex]= 2x^2 -5 -x^2 +4x+8[/tex] ----------> distribute
[tex]= x^2 +4x +3[/tex] ------------> combine like terms
Therefore, Option B is the correct answer.
Find the arc length and sectors perimeter of an 85 degree arc of a circle with a radius of 4ft
Find the height of the triangle. Round the answer to one decimal place.
Answer:
x = 6.4
Step-by-step explanation:
Taking the sin ratio of the angle :
sin 40° = x / 100.64 = x / 10x = 0.64 × 10x = 6.4