Answer:
z(max) = 2350
x₁ = 18 x₂ = 10
Step-by-step explanation:
Vol (ft³) W (p) Income ($)
Cargo A (x₁) 50 200 75
Cargo B (x₂) 10 360 100
Max load limit 1000 7200
Objective Function
z = 75*x₁ + 100*x₂
Constraints:
Volume constraint:
50*x₁ + 10*x₂ ≤ 1000
Weight constraint:
200*x₁ + 360*x₂ ≤ 7200
Model:
z = 75*x₁ + 100*x₂ to maximize
Subject to:
50*x₁ + 10*x₂ ≤ 1000
200*x₁ + 360*x₂ ≤ 7200
x₁ ≥ 0 x₂ ≥ 0 x₁ and x₂ integers
After 6 iterations with an on-line solver optimal solution is:
z(max) = 2350
x₁ = 18 x₂ = 10
What is the surface area of a rectangular prism with length 12 mm, width 3mm and height 5 mm
Answer:
The surface area of the rectangular prism is of 22 square millimeters.
Step-by-step explanation:
Surface area of rectangular prism:
The surface area of a rectangular prism with length l, width w and height h is given by:
[tex]S = 2(lw + lh + wh)[/tex]
Length 12 mm, width 3mm and height 5 mm
This means that [tex]l = 12, w = 3, h = 5[/tex]
Surface area:
[tex]S = 2(lw + lh + wh) = 2(12(3) + 12(5) + 3(5)) = 2(36 + 60 + 15) = 2(111) = 222[/tex]
The surface area of the rectangular prism is of 22 square millimeters.
given f(x) = 2x³+3x²-12x+7 = (x-1)² (2x+7), differentiate to find f¹(x)
Step-by-step explanation:
We use the symbol f − 1 to denote an inverse function. For example, if f (x) and g (x) are inverses of each other, then we can symbolically represent this statement as:
g(x) = f − 1(x) or f(x) = g−1(x)
One thing to note about the inverse function is that the inverse of a function is not the same as its reciprocal, i.e., f – 1 (x) ≠ 1/ f(x). This article will discuss how to find the inverse of a function.
Since not all functions have an inverse, it is therefore important to check whether a function has an inverse before embarking on determining its inverse.
We check whether or not a function has an inverse in order to avoid wasting time trying to find something that does not exist.
Six consecutive numbers add up to a total of 69.what is the highest of these numbers?
Answer:
14
Step-by-step explanation:
9+10+11+12+13+14=69
The [tex]HIGHEST[/tex] of these numbers is [tex]14[/tex]
Let the [tex]CONSECUTIVE[/tex] numbers be : [tex]a, a+1, a +2,a+3,a+4,a+5[/tex]
Taking the sum :
[tex]a + a + 1 + a + 2 + a + 3 + a + 4 + a + 5 = 69\\6a + 15 = 69\\6a = 69 - 15\\6a = 54\\a = 54 / 6\\a = 9[/tex]
[tex]HIGHEST[/tex] value = [tex]a + 5 = 9 + 5 = 14[/tex]
Hence, [tex]HIGHEST[/tex] value = [tex]14[/tex]
Learn more : https://brainly.com/question/15974141
The diagram shows a right-angled triangle.
xo
26 cm
17 cm
Find the size of angle x.
Give your answer correct to 1 decimal place.
Answer:
Diagram? I don't see a diagram.
Where is the diagram?
Step-by-step explanation:
Write .125 as a fraction reduced to lowest terms.
Answer:
1/8
Step-by-step explanation:
Hope this helps you! <33
Answer:
1/8
Step-by-step explanation:
We all know 1/2 is 0.5, right?
If you split that in half again, you get 0.25 as 1/4.
If you divide that again by two, you get 1/8 as 0.125
What is the inverse function of y = 2x - 8
Answer:
Step-by-step explanation:
y = 2x-8
2x = y+8
x = 0.5y+4
inverse function: y = 0.5x+4
ASAP!!! Use the relationships in the diagrams below to calculate the the values of the variables if possible part. B
Answer: y = 57°;
Angle Values: 66° and 114°.
Step-by-step explanation:
The sum of the corresponding angles is 180°.
y + 9 + 2y = 180
3y = 180 - 9
3y = 171
y = 57
Angle Values:
57° + 9° = 66°
57° · 2 = 114°
Arrange the following numbers in order from smallest to largest. 0.89, 0.098 ,0.98
Answer:
0.098 , 0.89, 0.98
Step-by-step explanation:
0.098 is the smallest, 0.98 is the closest to 1 so it's the biggest
Suppose a sample of 1390 suspected criminals is drawn. Of these people, 514 were captured. Using the data, estimate the proportion of people who were caught after being on the 10 Most Wanted list. Enter your answer as a fraction or a decimal number rounded to three decimal places.
Answer:
The estimate for the proportion of people who were caught after being on the 10 Most Wanted list is of 0.37.
Step-by-step explanation:
Estimate of the proportion of people who were caught after being on the 10 Most Wanted list.
Number of people captured divided by the size of the sample.
We have that:
514 of 1390 people were captured. So
514/1390 = 0.37
The estimate for the proportion of people who were caught after being on the 10 Most Wanted list is of 0.37.
Find the volume of a rectangular solid with the given dimensions: length 8 feet, width 17 feet, height 10 feet. What is the volume?
Answer: 1360 cubic meter
Step-by-step explanation:
Volume of solid= Length*width*height
=8*17*10
=1360 cubic meter
Let's play the Telephone Game together! https://garticphone.com/en/?c=013ab2298
Answer:
Kk
Step-by-step explanation:
Depends on you bro
Have a nice day!?
Answer:
......free marks? .......
Find the 3rd term in the expansion of (a + b)^7 in simplest form.
9514 1404 393Answer:
21·a^5·b^2
Step-by-step explanation:
The k-th term is ...
C(7, k)·a^(7-k)·b^k . . . . . where k counts from 0 to n
Then k=2 for the third term. The coefficient of it is ...
C(7, 2) = 7!/(2!(7-2)!) = 7·6/(2·1) = 21
The third term is ...
21·a^5·b^2
What is the percentage of $6 dollar tip on a $60 dollar bill?
Answer:
3.6
Step-by-step explanation:
set-up percentage like this!
[tex]\frac{part}{whole} =\frac{part}{whole}[/tex]
Then use what you know from the question to fill in the blanks
Answer: [tex]\frac{6}{100} =\frac{?}{60}[/tex]
Then: [tex]60[/tex] × 6 ÷ 100 = 3.6
Final Answer: 3.6
Solve:
n = 8
4
O n = 2
0 n = 12
Ô n = 24
0 n = 32
Answer:
1/4 n = 8
n = 8 * 4
n = 32
so option 4 i.e.
n = 32. is the ans
Answer:
n=32
Step-by-step explanation:
Given :
[tex]\frac{1}{4} n=8[/tex]
Now,
Value of n can be calculated as :
[tex]\frac{1}{4} n=8[/tex]
n=8×4
n=32
Therefore, option (D) is correct.
I can not figure out word problems, please help.
The area of a rectangle is 29 square feet. If the length is 3 times the width, then find the dimensions of the rectangle. Round off your answers to the nearest hundredth.
Step-by-step explanation:
a rectangle which has a length which was three times the width could be
3 x 9 - this would give a total of just 27 feet.....so we know its bigger than this.....but essentially this starting place puts us in the right ballpark
following on from this....
if we do.....3.11 x 9.33 - this gives us 29.0163
and we have a rectangle which meets the criteria
Help me with this question
Answer:
D. The graph of g(x) is the graph of f(x) compressed vertically and then reflected over the x axis.
Step-by-step explanation:
A function shows the relationship between two or more variables.
If a function y = f(x) is reflected over the x axis, the x coordinate remain unchanged, but the y coordinate is negated. Hence the function y = f(x) becomes y = -f(x).
A function y = f(x) is compressed or stretched vertically by a factor k to give y = kf(x). If 0 < k < 1, the function is vertically compressed whereas if k > 1, the function is vertically stretched.
Given the function f(x) = x², the function is vertically compressed by a factor of 2/3 to form a function f(x)' = (2/3)x². The function is then reflected over the x axis to produce a function g(x) = (-2/3)x²
Determine whether the following equation defines y as a function of x.
x + y = 27
Does the equation x + y = 27 define y as a function of x?
O Yes
Ο Νο
Answer:
The equation can define y as a function of x and it also can define x as a function of y.
Step-by-step explanation:
A relation is a function if and only if each value in the domain is mapped into only one value in the range.
So, if we have:
f(x₀) = A
and, for the same input x₀:
f(x₀) = B
Then this is not a function, because it is mapping the element x₀ into two different outputs.
Now we want to see it:
x + y = 27
defines y as a function of x.
if we isolate y, we get:
y = f(x) = 27 - x
Now, this is a linear equation, so for each value of x we will find an unique correspondent value of y, so yes, this is a function.
Now we also want to check if:
x + y = 27
defines x as a function of y.
So now we need to isolate x to get:
x = f(y) = 27 - y
Again, this is a linear equation, there are no values of y such that f(y) has two different values. Then this is a function.
cách hiếp dâm công an ko bắt
Answer:
.
Step-by-step explanation:
bbbbbbbbbbbbbbbbbvv
four times a certain number decreased by twice the same number gives 17. the number is
Answer:
8.5
Step-by-step explanation:
if 100% = Rs 120,then. A.120% = Rs 84 B. 20% = Rs 84 C. 70% = Rs 84 D. 30% = Rs 84
Answer:
70% is Rs 84
just use the formula
x% of 120= 84
and you will get the answer
A cyclist travels 3 miles in 15 minutes and then a further 7 miles in 25 minutes without stopping.
Calculate the cyclist's average speed in mph.
Answer:
15 mph
Step-by-step explanation
i used a calculator but correct me if im wrong pls
What is the square root of 13?
Answer:
3.605551275
Step-by-step explanation:
The area of a circle is 42.29m2.
Find the length of the diameter rounded to 1 DP.
Step-by-step explanation:
area of a circle=πr²
=42.29m²
42.29m²=πr²
then find for r, multiply it by two to obtain the diameter of the circle
Find the equation of the straight line that passes through the points (1, 10) and (3, 2)
ANSWER ASAP
Answer:
y = -4x+14
Step-by-step explanation:
First find the slope
m = (y2-y1)/(x2-x1)
m = (2-10)/(3-1)
=-8/2
= -4
The slope intercept form of a line is
y = mx+b where m is the slope and b is the y intercept
y = -4x+b
Substitute a point into the equation
10 = -4(1)+b
Add 4 to each side
14 = b
y = -4x+14
Answer:
y=-4x+14
Step-by-step explanation:
m=y1-y2/(x1-x2) and m= y-y1/x-x1
10-2/1-3=-4
m=-4 so -4=y-10/x-1
-4x+4=y-10
-4x+14=y
9.
Write the equation of a line through points (5, 5) and (1, 0) in point-slope form.
9514 1404 393
Answer:
y = 5/4(x -1)
Step-by-step explanation:
The slope formula can be used to find the slope:
m = (y2 -y1)/(x2 -x1)
m = (0 -5)/(1 -5) = -5/-4 = 5/4
The point-slope form is ...
y -k = m(x -h) . . . . . line with slope m through point (h, k)
Using the point (1, 0), we can write the equation as ...
y = 5/4(x -1)
Someone please help with the questions on this picture!! URGENT!!!
Answer:
A) Independent
B) Dependent
Step-by-step explanation:
A) If we take a marble out and put the marble back, it means we have restored the sample to what it was initially and thus it doesn't affect probability of making another selection.
Thus, this is an independent event.
B) A card is taken from a deck of cards without replacement and set aside. Then after that another card is taken from the first sample, this means that the first sample size has now reduced and thus the first card taken affects the probability of the second card to be picked. Thus, this is a dependent event.
......................
Answer:
the distance between the 2 points is 6.4 units.
Step-by-step explanation:
point 1 has the coordinates (-4, -2).
point 2 has the coordinates (1, 2).
the distance between both points is the Hypotenuse of the right- angled triangle of the coordinate difference lines in parallel to x- and y-axis.
so, how long is the difference in x dimension ?
and his long is the difference in y dimension ?
these are the sides of the triangle.
the difference in x dimension :
1 - -4 = 1 + 4 = 5
the difference in y dimension :
2 - -2 = 2 + 2 = 4
P1P2² = 4² + 5² = 16 + 25 = 41
P1P2 = sqrt(41) = 6.4
Larry is paid 8.5% of all sales plus 4.25% of sales over $6800. Find Larry's gross pay from total sales of $12,200.
Answer:
$1266.50Step-by-step explanation:
Larry's gross pay is:
12200*8.5/100 + (12200 - 6800)*4.25/100 = 1037 + 229.50 = 1266.50We can find Larry's gross pay,
→ 12200×8.5/100+(12200-6800)×4.25/100
→ 1037 +229.50
→ 1266.50
Hence, $ 1266.50 is the solution.
Solve the inequality: 13 + 2 v − 8 + 6 > − 7 − v
Answer:
V< 6
Step-by-step explanation:
11+2v > -7-v
3v> -18
v<6
Which matrix represents the system of equations shown below?
2x - 5y = 4
-5y = 8
c
D
А
B
2 -547 2x -5y 47 52-547
-5 08 0 -5y8 0 -58
2 041
-5 -5 8
A. Matrix A
B. Matrix B
C. Matrix C
D. Matrix D
9514 1404 393
Answer:
C. Matrix C
Step-by-step explanation:
The usual form for an augmented matrix representation of a system of linear equations has the variable coefficients listed in a square matrix with an additional column at the right containing the constants in the standard-form equations. This is illustrated in Matrix C.
__
The variables in the equations are usually left out of the matrix. That is, the system of equations AX= B is usually represented by the augmented matrix A|B, rather than (AX)|B. Thus "Matrix B" is not the best choice.