the s of a cube is 8 cause it's has 8 angles
Instructions: Given the following constraints, find
the maximum and minimum values for z.
x + 3y < 0
Constraints:
x - y = 0
3x - 7y < 16
Optimization Equation: z = -x + 5y
Maximum Value of z: 0
Minimum Value of z:
Answer:
The answer is below
Step-by-step explanation:
Given the constraints:
x + 3y≤ 0; x - y ≥ 0 and 3x - 7y ≤ 16.
We have to first plot the constraints using the geogebra online graphing tool. Plotting the constraints gives the solution as:
A(0, 0), B(3, -1) and C(-4, -4).
Next using the optimization equation: z = -x + 5y
At point A(0, 0); z = -0 + 5(0) = 0
At point B(3, -1); z = -3 + 5(-1) = -8
At point C(-4, -4); z = -4 + 5(-4) = -24
Hence the maximum value of Z is 0 and the minimum value of Z is -24.
Find the missing side lengths
Answer:
Does the answer help you?
Hello I’m trying to solve this problem I just don’t know how to do it.
BUT if someone could help and show me step by step that would be great I’m not trying to ask for the answer
I’m just trying learn how to solve it and so step by step there no rush Thank you
Step-by-step explanation:
To evaluate the proposed, the comprehension of linear data is required,
Slope: The rise/run or the accumulative unit distance between two differentiated points on a linear.
X-intercept: The peculiar point in which the observed linear data intersects the x-axis.
Y-intercept: The peculiar point in which the observed linear data intersects the y-axis.
1. To solve the following systems, first convert the Slope-Intercept formatting to Standard (General) form:
y = -5/3x + 3
3(Y = -5/3x + 3) Product by the denominator to eliminate the fraction.
3y = -5x + 9. Add 5x to the other expression as in standard form, the slope must be positive.
5x + 3y = 9 <== Standard (General) Form.
Y = 1/3x - 3
3(y = 1/3x - 3). Product by the denominator to eliminate the fraction.
3y = x - 9. Subtract by x to place the slope within the other expression of the equation.
-1(-x + 3y = -9). Now, product by -1 to contribute to a positive slope.
X - 3y = 9 <=== Standard (General) Form.
2. To solve for the x and y values, utilize the system of substitution:
1(5x + 3y = 9)Multiply equations by opposite slope to the other, and a positive to other.
-5(X - 3y = 9)
Evaluate,
+ 5x + 3y = 9. Now, add the systems.
-5x + 15y = -45
——————————
18y = -36
Y = -2
Thus, now that y is equated to -2, substitute that to either equation.
X - 3y = 9
X - 3(-2) = 9
X + 6 = 9
X = 3
Thus, x = 3, y = -2. This is their intersection point.
To plot these lines on the graph, execute the following,
Y = -5/3 x + 3
Start with the y-intercept. Draw a point on number 3 on the y-axis (vertical).
Starting with that point, go down 5 units, right 3 units.
* Remember, if there is a negative rise, go down. Positive, go up. If there is a negative run, go left. Positive, go right.
* Keep going 5 units down, right 3 units, until the graph allows.
2. Y = 1/3 x - 3
Similarly, conduct the same steps:
Starting with the y-intercept, draw a point on -3 on the vertical, or y-axis.
Beginning on that point, go up 1 unit, right 3 units.
Keep going up 1 units and 3 units right until the graph permits.
*I hope this helps.
Find one rational number between 1 and 2.
There are infinitely many rational no.s between two no.s
one rational number between 1 and 2 is
11/10
In a restaurant there are 5 possible pizza toppings chicken, pineapple olives mushrooms and beef Freddie picks two different toppings on his pizza
Answer:
please the question is not done
Step-by-step explanation:
please don't take this the wrong way
Help would be appreciated!!!
Answer:
td/(r+e) = a
Step-by-step explanation:
t a
---- = -----
r+e d
Using cross products
t*d = a(r+e)
Divide each side by (r+e)
td/(r+e) = a
PLEASE HELP ME I DONT UNDERSTAND
Answer:
no
Step-by-step explanation:
the square root of 2 is not rational
The marked price of a radio was 40% above the cost price. When it was sold allowing 30% discount on it, there was loss of RS. 100. What was the marked price of the radio.
Answer:
7000
Step-by-step explanation:
70/100 * marked price = original price - 100
marked price = 140/100* og price
70/100 * 140/100 * og price = original price - 100
49/50 * og price = orignal price - 100
1/50 of original price = 100
orignal price = 5000
marked price = 140/100 * 5000 = 7000
Make an Inequality! Twice the difference of a number and 7 is less than -30. Use c as the variable.
Answer:
7 - 2c < - 30
*To do this equation you would have to start with -30, because of "less than"
Hope this helps.
What is another name for a relation that has each element in its domain paired with exactly one element in its range?
30 POINTS PLEASE HELP
2. Given the list of measures of EXTERIOR angles (missing one) of a polygon, find the missing angle:
a. ___, 92°, 28°, 55°, 75°, 55°
b. ___, 71°, 69°, 40°, 62°
c. ___, 120°, 38°, 80°
d. ___, 90°, 60°, 40°, 30°, 60°, 30°
Answer:
a,55
b,118
c,122
d,50
Step-by-step explanation:
sum of exterior angles of a polygon ends up to 360°. add the numbers given in each case and subtract from 360° to get the missing angle.
help please i’ve been in here for hours looking for answers
Answer: Second row
The y intercept is 2
=============================================================
Explanation:
The y intercept always occurs when x = 0. Visually, the y intercept is the location where the graph crosses the y axis.
In the table, we see that x = 0 pairs up with y = f(x) = 2 in the second row. So we can say that the y intercept is 2.
Side note: the x intercept is 1 since it occurs when y = 0.
Please help solve 1, and 2
Answer:
Step-by-step explanation:
1). WXYZ is a rectangle,
Properties of a rectangle,
i). Opposite sides are equal and parallel.
ii). All interior angles measure 90°.
iii). Diagonals are equal in measure.
a). WY = ZX = 30
Therefore, ZT = [tex]\frac{1}{2}(ZX)[/tex]
[tex]ZT=15[/tex]
b). WY = ZX = 45
c). Since, WY = ZX,
(4b - 16) = (3b + 5)
4b - 3b = 16 + 5
b = 21
2). GOAT is a rhombus and m∠OGA = 35°,
a). m∠TGA = m∠OGA = 35°
b). m∠GXO = 90°
c). m∠GXT = 90°
d). Since adjacent angles of a rhombus are supplementary,
m∠OGT + m∠GTA = 180°
70° + m∠GTA = 180°
m∠GTA = 110°
m∠GTO = [tex]\frac{1}{2}(m\angle GTA)[/tex]
= [tex]\frac{1}{2}(110^{\circ})[/tex]
= 55°
e). Since, opposite angles of a rhombus are equal,
m∠OGT = m∠OAT = 70°
f). m∠GOA = m∠GTA = 110°
Consider the three triangular pyramids.
Pyramid 1
Pyramid 2
Pyramid 3
Triangular pyramid 1. The base has a base of 12 meters and height of 2 meters. The height of the pyramid is 10 meters.
Triangular pyramid 2. The base has a base of 6 meters and height of 4 meters. The height of the pyramid is 10 meters.
Triangular pyramid 3. The base has a base of 12 meters and height of 4 meters. The height of the pyramid is 5 meters.
Which statement about their volumes is true? (Recall the formula V = one-third B h.)
O All three pyramids have the same volume.
O All three pyramids have different volumes.
O Only pyramids 1 and 2 have the same volume.
O Only pyramids 1 and 3 have the same volume.
9514 1404 393
Answer:
(a) All three pyramids have the same volume
Step-by-step explanation:
The triangular base has an area of ...
B = 1/2bh . . . . where b is the base of the triangle and h is its height.
The volume of the pyramid is ...
V = 1/3BH . . . . where B is the area of the base, and H is the height of the pyramid.
Combining these equations gives ...
V = 1/3(1/2bh)H = 1/6bhH
__
Pyramid 1 volume
V1 = 1/6(12 m)(2 m)(10 m) = 40 m³
Pyramid 2 volume
V2 = 1/6(6 m)(4 m)(10 m) = 40 m³
Pyramid 3 volume
V3 = 1/6(12 m)(4 m)(5 m) = 40 m³
All three pyramids have the same volume.
Find the value of m.
A. 7
B. 2
C. 42
D. 14
Answer:
A. 7
Step-by-step explanation:
3m + 21 = 6m
Move variables to one side to get:
3m + 21 = 6m
-3m -3m
21 = 3m
Then isolate variable by dividing by 3
21/3 = 3m/3
m = 7
Choice A is the correct answer
Judd bought a pack of pencils and sold it for 10% profit. Write an expression for the selling price.
selling price: 1,1x
since x 10% more than the full value (100%)
so, 110/100 . x = 1,1x
The expression which represents the selling price of the pen is
y = 1.1x or [tex]selling\ price = 1.1\ cost\ price[/tex].
What is expression?Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.
What is profit?A profit occurs when you sell something. for more than it cost.
Let x represents the cost price of the pens and y represents the selling price.
According to the question.
Judd sell the pens for 10% profit.
Now,
Profit = 10% of cost price
[tex]\implies profit = \frac{10}{100} \times x \\\implies Profit = 0.1x[/tex]
Therefore, the expression for the selling price of the pen is given by
[tex]y = cost\ price\ of\ pens + profit\\\implies y = x + 0.1x \\\implies y = 1.1x[/tex]
Hence, the expression which represents the selling price of the pen is
y = 1.1x or [tex]selling\ price = 1.1\ cost\ price[/tex].
Find out more information about expression and profit here:
https://brainly.com/question/3927668
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How many amount will be reqyired to plaster on the four walls at the rate of Rs 315per square meter?find it
Incomplete question
Let the area be = 100 square meter
Cost of plaster = Rs 315 per square meter
No of walls = 4
Total area = 400 square meter
Then cost = 400 × 315
= Rs 1,26,000
Answered by Gauthmath must click thanks and mark brainliest
y=-1/2x +7
Line k is perpendicular to the line defined by the equation
above and passes through the point (4,0). Which of the
following points also lies on line k?
A) (0,8)
B) (2,-4)
C) (2,-2)
D) (2,8)
Answer:
B; (2,-4)
Step-by-step explanation:
The general equation of a straight line is;
y = mx + b
where m is the slope and b is the y-intercept
So from the question, when we look at the given equation, its slope is -1/2
mathematically, when two lines are perpendicular, the product of their slopes is -1
thus;
m1 * m2 = -1
m2 * -1/2 = -1
-m2 = -2
m2 = 2
The general equation form is;
y-y1 = m(x-x1)
where (x1,y1) = (4,0)
y-0 = 2(x-4)
y = 2x - 8
So, now we look at the point that will work for this equation
For the line that will work, if we substitute its x-value, we get the y-value
Let us take a look at option B
y = 2(2) -8 = 4-8 = -4
we can see that (2,-4) works
The height of a baseball in feet can be found by the equation -4.982 – 20t + 1000. How far has the
baseball traveled at t = 6?
Answer:
875.018
Step-by-step explanation:
To solve this, we must plug in 6 for our t value. So, we have the equation:
-4.982 - 20(6) + 1000
Following the rules of PEMDAS, we have:
-4.982 - 120 + 1000 = 875.018
Find the perimeter of this semi-circle with diameter, d = 22cm.
Give your answer as an expression in terms of t.
Answer:
=22tcm
Step-by-step explanation:
Perimeter of a circle =πD
But π=t
hence perimeter; = 22tcm
where t=π
calculate the value of x in circle O. *show your work*
Answer:
Step-by-step explanation:
The central angle is twice as big as any angle sharing the endpoints with the central angle of a chord where the angle is not below the smaller sector.
2*62 = x
x = 124
Ade thinks of a number He doubles it and then subtract 5 The result cannot be less than 100 find the range of values of x
Answer: [tex]x\in [53,\infty)[/tex]
Step-by-step explanation:
Given
Ade doubles her number and subtract 5 from it. The result cannot be less than 100
Suppose the number is [tex]x[/tex]
According to the question
[tex]\Rightarrow 2x-5\geq100\\\text{Solve the inequality}\\\Rightarrow 2x\geq105\\\Rightarrow x\geq52.5\\\text{for integer number, the range is given by }\\\Rightarrow x\in [53,\infty)[/tex]
Help please ! Thank you!
:) :) :) :) :) :) :) :) :) :) :) :) :)
Find the value of both variables.
[tex] \cos(45) = \frac{5 \sqrt{2} }{x} \\ \frac{1}{ \sqrt{2} } = \frac{5 \sqrt{2} }{x} \\ x = 10 \\ \\ \tan(45) = \frac{y}{5 \sqrt{2} } \\ 1 = \frac{y}{5 \sqrt{2} } \\ y = 5 \sqrt{2} [/tex]
I hope I helped you ^_^
The sum of two consecutive even numbers is 50. Find the two numbers
25 and 25
40 and 10
24 and 26
16 and 34
Answer:
First even = 24
Second even = 26
Step-by-step explanation:
let x be the first even integer.
let 2x be the second even integer.
[tex]x + 2x = 50[/tex]
[tex]x + x = 50 - 2 [/tex]
[tex]2x =48[/tex]
[tex]x = \frac{48}{2} [/tex][tex] x = 24[/tex]
Therefore, The first even number is 24.
[tex]second \: \: number= 50 - x \\ = 50-24 \\ = 26[/tex]
Therefore, The second even number is 26.
Hope it is helpful...write in mapping notation
4 of 4
5 positive integers are arranged in ascending order, as follows:
3, 4, 8, 12, X
The mean and the median are equal.
Find X.
x
Help plz ffggggggggggggggggggggggggggggg
Answer:
< EFG
< GFE
Step-by-step explanation:
The letter for the vertex must be in the middle
< EFG
< GFE
<F
for which values of X will the rational expressions below the undefined?
Answer:
x≠-7
Step-by-step explanation:
The function will be undefined when the denominator is zero
x+7≠ 0
x≠-7
Find the area of QRS. Round the answer to the nearest tenth.
A.
10.8 square units
B. 12.4 square units
C. 25.4 square units
D. 50.7 square units
Answer:
Option C
Step-by-step explanation:
Area of a triangle given with measures of 2 sides and angle between these sides will be,
Area of a triangle = [tex]\frac{1}{2}\text{(a.b)sinC}[/tex]
Here, a and b are two sides of the triangle and C is the angle between these sides.
From the figure attached,
a = 6, b = 9 and m∠C = 110°
Substitute these values in the formula,
Area of ΔQRS = [tex]\frac{1}{2}\text{(a.b)sinC}[/tex]
= [tex]\frac{1}{2}{(9\times 6)\text{sin}(110^{\circ})}[/tex]
= 25.37
≈ 25.4 square units
Therefore, Option C will be the answer.