When the objective function coefficient for the product increases by $8, the impact on the current values of the optimal solution is that the current solution will change.
What is an objective function?An objective function simply means the function whose value is to be either maximized or minimized over the alternatives.
In this case, when the objective function coefficient for the product increases by $8, the impact on the current values of the optimal solution is that the current solution will change. The change is due to the varied objectives.
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number 13 ..........
Answer:
See below
Step-by-step explanation:
Scale it by -4/3 then shift it left by 3
scale by - 4/3 is the same as flipping the function about the x-axis
and scaling it by 4/3
The temperature in the freezer is -15°C. The temperature outside the freezer is 10°C. Find the difference between these two temperatures.
Is the answer 25? Just checking :)
Answer:
Yes it is 25
Step-by-step explanation:
10 - 25 = -15
-15 + 25 = 10
Use the triangle to find each of the six trigonometric functions of _. Show all work
Answer:
you need to find that missing side... so (A squared) x (B squared) = (C squared)
A squared = 5
B squared is missing
C squared = 6
A=25
C=36
36-25= B squared....... B= (square root of 11)
now you need to plug in the numbers for the 6 trig equations...
sin0 = 5/6
cos0 = (square root of 11)/6
tan0 = 5/(square root of 11) which actually equals 5(square root of 11)/11
csc0 = 6/5
sec0= 6/ (square root of 11) which actually equals 6(square root of 11)/11
cot0 = (square root of 11/5
Step-by-step explanation:
can you help me with this
Answer:
The answer is b. 979,000
Step-by-step explanation:
If you move the decimal right five time from 9.79 you would get 979,000
The perimeter of the original rectangle is 16 feet. A small rectangle has a length of 6. 2 feet and width of 1. 8 feet. A larger rectangle has a length of 12. 4 feet and width of blank. Not drawn to scale What is the perimeter of the enlarged rectangle? Round to the nearest tenth if necessary. 22. 3 feet 31 feet 32 feet 42. 7 feet.
The perimeter of the enlarged rectangle is 32 ft and the width of the larger rectangle is 3.6 ft.
What is perimeter of plane?The measure of the boundary of a plane or shape is called its perimeter. The perimeter of a plane or shape is the sum of all the sides.
A small rectangle has a length of 6.2 feet and width of 1.8 feet. The parameter of this triangle is,
[tex]P_s=6.2+1.8\\P_s=8\rm\; ft[/tex]
The small rectangle has a length of 6.2 and the larger rectangle has a length of 12.4 feet. Thus the scale factor of enlargement is,
[tex]r=\dfrac{12.4}{6.2}\\r=2[/tex]
The perimeter of the original rectangle is 16 feet and scale factor is 2. Thus, the perimeter of the enlarged rectangle is,
[tex]P_l=2\times16\\P_l=32\rm\; ft[/tex]
The small rectangle has width of 1.8 feet and scale factor is 2. Thus, the width of the larger rectangle is,
[tex]w_l=1.8\times2\\w_1=3.6\rm\; ft[/tex]
Hence, the perimeter of the enlarged rectangle is 32 ft and the width of the larger rectangle is 3.6 ft.
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Consider the function defined by f(x) lnx/x^4 for x > 0 and its graph y = f(x).
The graph of f has a horizontal tangent at point P. Find the coordinates of P.
Answer:
[tex]\sqrt[4]{e};\frac1{4e}[/tex]
Step-by-step explanation:
The first derivative of [tex]f(x)[/tex] will give, for each x, the slope of the tangent at that specific x. Let's calculate the derivative, applying the quotient rule.
[tex]D(\frac AB) = \frac{A'B-AB'}{B^2}\\f'(x)= \frac1{x^8}[(\frac1x)x^4-(lnx)(4x^3)]=\frac1{x^8}[x^3(1-4lnx)]=\frac{1-4lnx}{x^5}[/tex]
Now, to find the point with an horizontal tangent (called "stationary points"), we set the first derivative equal to 0. Considering that we're working with [tex]x > 0[/tex] we deal only with the numerator.
[tex]1-4lnx = 0 \rightarrow lnx= \frac14\\x=e^\frac14 =\sqrt[4]{e}[/tex]
At this point we Replace the value we found in the equation to find it's y coordinate
[tex]f(\sqrt[4]e) = \frac{ln\sqrt[4]e}{\sqrt[4]e^4}= \frac{\frac14}{e} = \frac1{4e}[/tex]
Paisley is trying to find the height of a radio antenna on the roof of a local building. She stands at a horizontal distance of 22 meters from the building. The angle of elevation from her eyes to the roof (point A) is 29°, and the angle of elevation from her eyes to the top of the antenna (point B) is 42°. If her eyes are 1.74 meters from the ground, find the height of the antenna (the distance from point A to point B). Round your answer to the nearest meter if necessary.
Using the tangent ratio, the height of the antenna, to the nearest meter, is AB = 8 m.
What is the Tangent Ratio?Tangent ratio is expressed as: tan ∅ = opposite/adjacent (TOA).
The information given has been sketched in the diagram attached below.
Find AC using the tangent ratio. Thus, we would have:
tan 29 = AC/CD
Substitute
tan 29 = AC/22
AC = tan 29 × 22 = 12.2 m.
Find BC using the tangent ratio:
tan 42 = BC/DC
Substitute
tan 42 = BC/22
BC = tan 42 × 22 = 19.8 m.
The height of the antenna, AB = BC - AC = 19.8 - 12.2 ≈ 8 m.
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May you please do number 11. I don’t know how to do it.
Answer:
11.) 105 degrees
12.) 50 degrees
13.) 55 degrees
Step-by-step explanation:
11.) <EFG is a straight angle (180 degrees) so 180-75=105
12.) <FGC is a right angle (90 degrees) so subtract 40 and you get 50 degrees
13.) Sum of angles in a triangle is 180 degrees. Since we already know 2 angles, just subtract from 180. 180-75-50=55 degrees
Angela had 8 computer games.
She got 3 more for her birthday. But then she gave
away 4 computer games.
4
How many computer games did Angela have then?
[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]
we're given that Angela formerly had 8 computer games.
★ She got 3 more video games on her birthday.
★ Then she gave away 4 video games.
_____________________________
To calculate - number of computer games she's finally left with._____________________________
[tex]\huge\red{ Solution -}[/tex]
[tex]8 + 3 - 4 \\ \dashrightarrow \: 11 - 4 \\ \dashrightarrow \: 7[/tex]
hope helpful :D
Which expression is not equivalent to 2² + 10+12?
Option 3 is not equivalent!
(Hope I could help!)
Find the area of the rectangle.
l=10 in, w=7.5 in
Answer:
It should be 75 inches
Step-by-step explanation:
50 POINTS FOR CORRECT ANSWER!
Answer:
[tex]y\geq 2x+3[/tex]
Step-by-step explanation:
the gradient of a line is found by using the formula [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1} }[/tex]
so we get [tex]\frac{5-3}{1-0}=\frac{2}{1} =2[/tex]
the y-intercept is where the line crosses the y-axis which is simply 3
so the equation of this line is [tex]y=2x+3[/tex] in the form [tex]y=mx+c[/tex]
but the question is asking for an inequality, specifically above the line so we get [tex]y\geq 2x+3[/tex]
Slope:-
[tex]\\ \tt\Rrightarrow m=\dfrac{-3-3}{-3}=2[/tex]
Equation of line in point slope form
[tex]\\ \tt\Rrightarrow y-3=2x[/tex]
[tex]\\ \tt\Rrightarrow y=2x+3[/tex]
Put (0,0)
2(0)+3=3>0Hence the inequality is
[tex]\\ \tt\Rrightarrow y\geqslant 2x+3[/tex]
2x+4=8
Find x and show work.
Answer:
X is 2 2+2= 4 plus 4 = 8
Step-by-step explanation:
Hoped this helped
Answer:
x = 2
explanation:
2x + 4 = 8
subtract 4 from both sides
2x + 4 -4 = 8 -4
2x = 4
divide both sides by 2
2x/2 = 4/2
x = 2
Recheck:
2x + 4 = 8
2(2) + 4 = 8
8 = 8
Hence proved the solution is correct.
Evin is modeling the temperature of water heating on the stove. She finds that the Fahrenheit temperature can
be modeled by the linear function F(m)=15.2m +58, where m is the number of minutes the water has been
heating. Give a physical interpretation of the parameters 15.2 and 58 in the linear model. Use appropriate
units in your explanation.
Step-by-step explanation:
i hope this helps the steps are within the photo
Plot the points A(7,1), B(-2, 3), C(1, -7) on the coordinate axes below. State the
coordinates of point D such that A, B, C, and D would form a parallelogram.
(Plotting point D is optional.)
A B
D C
vectors
AB = DC
AB (-2-7 ; 3-1) => AB (-9 ; 2)
DC (1-x : -7-y)
1 - x = -9 => x = 10
-7-y = 2 => y = -9
D(10 ; -9)
Answer:
D = (10, -9)
Step-by-step explanation:
If ABCD is a parallelogram, then AB = DC and BC = AD
Therefore,
[tex]\sf x_A-x_B=x_D-x_C[/tex]
[tex]\sf \implies 7-(-2)=x_D-1[/tex]
[tex]\sf \implies x_D=10[/tex]
[tex]\sf y_A-y_B=y_D-y_C[/tex]
[tex]\sf \implies 1-3=y_D-(-7)[/tex]
[tex]\sf \implies y_D=-9[/tex]
Therefore, D = (10, -9)
A+restaurant+bill+before+tax+is+$15. 50. +if+the+sales+tax+is+8%+and+a+15%+tip+is+added,+what+is+the+total+cost+of+the+meal?
Answer:
$19.07
Step-by-step explanation:
Look at image above...
The total cost of the meal is $19.065.
What is the percentage?In mathematics, a percentage (from Latin per centum "by a hundred") is a number or ratio expressed as a fraction of 100.
A restaurant bill before tax is $15.50.
If the sales tax is 8% and a 15% tip is added.
The total cost of the meal is;
[tex]\rm Total \ cost = Bill \ amount + Sales \ tax + Tip\\\\ Total \ cost = 15.50 + 15.50 \times \dfrac{8}{100} + 15.50 \times \dfrac{15}{100}\\\\ Total \ cost = 15.50+1.24+2.32\\\\ Total \ cost = 19.065[/tex]
Hence, the total cost of the meal is $19.065.
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What is the distance between the points (3, 4.1) and (3, 1.2)?( i will give brainly points)
Answer:
2.9
Step-by-step explanation:
subtract the distances:
4.1-1.2
2.9
You randomly draw a marble out of a bag containing 4 green marbles, 6 blue marbles, 8 yellow marbles, and 2 red marbles. Find the probability of drawing a marble that is not yellow.
Answer:
The probability is [tex] \frac{3}{5} [/tex]Step-by-step explanation:
Green marbles = 4
Blue marbles = 6
Yellow marbles = 8
Red marbles = 2
[tex]4 + 6 + 8 + 2 = 20 \: marbles[/tex]
The probability of drawing marble not yellow:
[tex]4 + 6 + 2 = 12 \\ \frac{12}{20} = \frac{3}{5} [/tex]
Brainliest please.
Which expression is equivalent to 8/6?
•/14
•/48
•/96
•/384
Answer:
./48
Step-by-step explanation:
Simplify.
Cubed root of -128x^6y^5
Answer
-640x^6y
Step-by-step explanation:
Which expression is equivalent to -18x -14?
Answer:
6(3x-2)
You can use the fact that the value which is outside of the bracket and in multiplication will be distributed to all terms inside with addition or subtraction( this is by distributive property of multiplication over addition).The expression which is equivalent to the given expression isWhat are equivalent expressions?Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.The given expression is It can be seen that 18 is a multiple of 6 and 12 too is multiple of 6 Thus,we can write it as (since when bracket will be opened, the 6 value will distribute inside the bracket to each term joined by either addition or subtraction(which is negative addition).This expression is obtained by doing operations on given expression which didn't changed its value, so this expression obtained is equivalent to the given expression.(The given options are not correct, or it might be that the given expression is not written correctly).Remember that many times, when using letters or symbols, we hide multiplication and write two things which are multiplied, close to each other. As in Thus,The expression which is equivalent to the given expression is
6(3x-2)
Anyone know the answer?
Answer:
Positive
Step-by-step explanation:
Negative over a negative cancel out and become positive.
no links please and thanks
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13 point
A square box has a height of 21 inches. What is the measure of the
diagonal of the box? Round to the tenths place.
Answer:
29.7 inches
Step-by-step explanation:
if it's a square box we can assume that all sides are equal. so the width is also equal to 21 inches.
to find the diagonal we use the pythagorean theorem which states that a^2 +b^2 =c^2 where c is the diagonal and (a) and (b) are 21
so diagonal is the root of
21^2 + 21^2
answer is 29.7
please help me answer my question?
Answer:
Answer will be: $123.25
Jess makes and sells cube-shaped jewelry boxes. She designs the jewelry boxes in different sizes and with different patterns. Jess wants to include the volume of each box on her price list.
s = length (in.) of one side of the jewelry box
Options:
s
6s
s^2
s^3
(It’s middle school I-Ready)
Answer:
Step-by-step explanation:
s to the 3rd power so S3
I hope this works
Answer:Part two is (s+2)3
Step-by-step explanation:
I got it right I hope it helps
State if each is a right triangle?
Answer:
yes
Step-by-step explanation:
because the hypotenus is the longest of all the other sizes
Write another example that would use the same properties for each step
Answer:
I'm sorry but there isn't really any question to be answered
The diagram shows a parallelogram.
The dotted line forms a right angle with side xy.
Use given information to find m Angle p.
Check the picture below.
Which equation can be used to find x, the length of the hypotenuse of the right triangle? a triangle has side lengths 63, 16, x. 16 63 = x 16 squared 63 = x (16 63) squared = x squared 16 squared 63 squared = x squared
The Pythagoras is the sum of the square of two sides equal to the square of the longest side. The equation is x² = 16² + 63² then the correct option is D.
What is a right-angle triangle?It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function.
The dimensions of the triangle are 16, 63, and x.
Where x is the hypotenuse.
By the Pythagoras theorem, we have
x² = 16² + 63²
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Answer:
D. 16 squared + 63 squared = x ^2 is the answer.
Step-by-step explanation: