Answer:
c = 15 ft
Step-by-step explanation:
a^2 + b^2 = c^2
9^2 + 12^2 = c^2
c^2 = 225
c = √225
c = 15 ft
The expression 125 + 4n can be used to find the total price for n students to take a field trip to the aquarium. Determine the cost for 55 students to visit the aquarium.
Hurry plz
Answer:
125+ 4(55)
Step-by-step explanation:
345 is the answer
give brainliest if right
If m∠DEF = (5x−8)°. Which equation would you use to find the value of x?
5x−8=20
5x-8=360
5x-8=90
5x-8=180
Answer:
5x-8=90
Step-by-step explanation:
Thale’s Theorem
5x-8=90
What is the constant of proportionality
will choose braij
The constant proportion of the following data is 5.
The constant proportion of the following data is 5.Thank hope it helpsLocal versus absolute extrema. If you recall from single-variable calculus (calculus I), if a function has only one critical point, and that critical point is a local maximum (or say local minimum), then that critical point is the global/absolute maximum (or say global/absolute minnimum). This fails spectacularly in higher dimensions (and thereís a famous example of a mistake in a mathematical physics paper because this fact was not properly appreciated.) You will compute a simple example in this problem. Let f(x; y) = e 3x + y 3 3yex . (a) Find all critical points for this function; in so doing you will see there is only one. (b) Verify this critical point is a local minimum. (c) Show this is not the absolute minimum by Önding values of f(x; y) that are lower than the value at this critical point. We suggest looking at values f(0; y) for suitably chosen y
Answer:
Step-by-step explanation:
Given that:
a)
[tex]f(x,y) = e^{3x} + y^3 - 3ye^x \\ \\ \implies \dfrac{\partial f}{\partial x} = 0 = 3e^{3x} -3y e^x = 0 \\ \\ e^{2x}= y \\ \\ \\ \implies \dfrac{\partial f}{\partial y } = 0 = 3y^2 -3e^x = 0 \\ \\ y^2 = e^x[/tex]
[tex]\text{Now; to determine the critical point:}[/tex]- [tex]f_x = 0 ; \ \ \ \ \ f_y =0[/tex]
[tex]\implies e^{2x} = y^4 = y \\ \\ \implies y = 0 \& y =1 \\ \\ since y \ne 0 , \ \ y = 1, \ \ x= 0\\\text{Hence, the only possible critical point= }(0,1)[/tex]
b)
[tex]\delta = f_xx, s = f_{xy}, t = f_{yy} \\ \\ . \ \ \ \ \ \ \ \ D = rt-s^2 \\ \\ i) Suppose D >0 ,\ \ \ r> 0 \ \text{then f is minima} \\ \\ ii) Suppose \ D >0 ,\ \ \ r< 0 \ \text{then f is mixima} \\ \\ iii) \text{Suppose D} < 0 \text{, then f is a saddle point} \\ \\ iv) Suppose \ D = 0 \ \ No \ conclusion[/tex]
[tex]Thus \ at (0,1) \\ \\ \delta = f_{xx} = ge^{3x}\implies \delta (0,1) = 6 \\ \\ S = f_{xy} = -3e^x \\ \\ \implies S_{(0,1)} = -3 \\ \\ t = f_{yy} = 6y \\ \\[/tex]
[tex]\implies t_{0,1} = 6[/tex]
[tex]Now; D = rt - s^2 \\ \\ = (6)(6) -(-3)^2[/tex]
[tex]= 36 - 9 \\ \\ = 27 > 0 \\ \\ r>0[/tex]
[tex]\text{Hence, the critical point} \ (0,1) \ \text{appears to be the local minima}[/tex]
c)
[tex]\text{Suppose we chose x = 0 and y = -3.4} \\ \\ \text{Then, we have:} \\ \\ f(0,-3.4) = 1+ (-3.4)^3 + 3(3.4) \\ \\ = -28.104 < -1[/tex]
[tex]\text{However, if f (0,1) = 1 +1 -3 = -1 \\ \\ f(0,-3.4) = -28.104} < -1} \\ \\ \text{This explains that} -1 \text{is not an absolute minimum value of f(x,y)}[/tex]
20 POINTS FOR ANSWERING ALL PARTS
Answer:
wont let me download
Step-by-step explanation:
Which statement about the figure below is true?
A bag contains a total of 100 black and white marbles. Without looking a marble is chosen, recorded, and placed back in the bag. The student records 8 black marbles and 2 white marbles. Predict the number of black marbles in the bag.
Find the equation (in terms of x ) of the line through the points ( − 5 , 4 ) and ( 4 , 0 ) . Express your answer in slope-intercept form
Answer:
Equation = 4x + 9y = 16Step-by-step explanation:
co-ordinate = (-5.4) & (4,0)
slope(m) = (y² - y¹) / (x² - x¹)
slope(m) = (0-4) / (4+5)
slope(m) = -4 / 9
Equation,
y = mx + c
y - 0 = -4/9 (x - 4)
9y = -4x + 16
4x + 9y = 16
find the image of U'( -8 , 1) after a translation along < 2 , 0 > and a reflection in the x axis
U"( -6 , -1)
U"(6 , 1)
U"(6 , -1)
U"(-1 , 6)
Given:
The point is U'(-8,1).
It is translated along <2,0> and reflected across the x-axis.
To find:
The image of U'.
Solution:
The given point is U'(-8,1).
It is translated along <2,0> . So, the rule of translation is:
[tex](x,y)\to (x+2,y+0)[/tex]
[tex]U'(-8,1)\to U_1(-8+2,1+0)[/tex]
[tex]U'(-8,1)\to U_1(-6,1)[/tex]
Then, it is reflected across the x-axis. So, the rule of reflection is:
[tex](x,y)\to (x,-y)[/tex]
[tex]U_1(-6,1)\to U''(-6,-1)[/tex]
The image of U'( -8 , 1) is U''(-6,-1).
Therefore, the correct option is A.
The hanger image below represents a balanced equation. Write an equation to represent the image. PLEASE HELP ILL MARK U AS BRAINLIST OR WHATEVER o(*°▽°*)o
Answer:
i think its 3 in all the boxes but trying is better than not ig wait no nvm
Please help I’m struggling please
Question 12
Find the volume of this cone. Round to the nearest hundredth.
9 ft
8 ft
cm cubed
Answer:
150.8 I think
Step-by-step explanation:
$0.73 + $0.25 = $_____
Answer:
98 is the answer to this problem
Step-by-step explanation:
7+2=9
3+5=8
Answer:
$0.98
Step-by-step explanation:
$0.73
$0.25
+ ______
$.98
To the nearest dollar, $1.00
Have a nice day, fam. Spread The Love.
please help me with this :D
Answer:
b=24
Step-by-step explanation:
the sides are equal to each other so
b+24=2b
24+24=2 times 24
48=48
so b=24
PLEASE HELP I WILL GIVE BRAINLIEST
Answer:
a) the cost for each person is not always the same
b) the train appears to go the same distance every minute
Predicted distance traveled in 10 minutes:
30 km
A couple is trying to save for down payment on their first house. They wish to have $25,000 in 8 years. How much should they invest monthly in an account that pays 6.1% compounded annually
Answer:
I this 500$
Step-by-step explanation:
PLS ANSWER QUICK, HELP
Answer:
6 inches of paper:)!
Step-by-step explanation:
Which is the solution to the equation
below?
-3=t- 12
A-9
C 9
B 4
D 15
Find the area of a circle with radius, r = 41cm. Give your answer rounded to 3 SF.
i dont know how to work this out :(
Answer:
5283.143 cm^2
Step-by-step explanation:
Area =πr^2
22/7*41*41
=5283.143cm^2
Determine the x- and y-
intercepts of 2x - 5y = -10.
O (-5,0) and (0, 2)
(2.0) and (10,0)
O (5.0) and (0,5)
5(a-b), if a= -4, b =-2
Answer:
-10
Step-by-step explanation:
a= -4
b = -2
5(a-b)
5( -4 - (-2))
5( -4 + 2)
5(-2)
-10
Mischa wrote the quadratic equation 0=-x^2+4x-7 in standard form. If a = -1, what is the value of c in her equation?
Ac=-7 (correct answer on edg)
B.c=-1
C.c=4
D.c=7
Help me please (show work)
9514 1404 393
Answer:
14. 53.1°
16. 253.7°
Step-by-step explanation:
14. The measure of angle L can be found from the cosine relation:
Cos = Adjacent/Hypotenuse
cos(L) = 9/15 = 3/5
L = arccos(3/5) = 53.1° . . . arc MK
__
16. Arc MK is half of arc JK, so that arc is 106.3°. The long arc JPK is the difference between 360° and the measure of the short arc JK.
360° -106.3° = 253.7° . . . arc JPK
if a shape called rectangle and had length of 15 and breath of 10 what would be the perimeter?
Answer:
50
Step-by-step explanation:
p=2(l+w)
2(10+15)
50
Caroline has a unique pet chimpanzee that is relatively likely to have twins. Each pregnancy is independent, and
Caroline's chimpanzee has a 60% chance of having 1 baby and a 40% chance of having 2 babies each
pregnancy
If X is a random variable that represents the total number of chimpanzee babies if Caroline's chimpanzee gets
pregnant twice, drag the bars to graph the probability distribution for all possible values of X.
Answer: 2=.36, 3=.48, 4=.16
Step-by-step explanation:
If we let "S" represent 1 baby and "D" represent 2 babies, the sample space for the chimpanzee's 2 pregnancies is {SS, SD, DS, DD}.
We can find the probability of each possible outcome by multiplying the probability of the independent events leading to that outcome.
Outcomes:. Probability:
SS. .60 x .60 = .36
SD. .60 x .40 = .24
DS. .40 x .60 = .24
DD. .40x .40 =.16
Total. 1.00
Lastly group the similar outcomes. SD+DS= .48
Angle 3 is a supplement of angle 4. If the m of angle 3 is 100 degrees, what is the m of angle 4?
Answer: 80
Step-by-step explanation: Supplements mean they add up to 180. is m of 3 is 100, then m of 4 must be 80 to add up to 180. Hope this helps!
Graph the parabola.
y=-3x2 +6
PLEASE ANSWER quickly
Answer:
y = 12
Step-by-step explanation:
y = 3x2+6
= 6+6
= 12
y = 12
Mark rows a boat 8 miles an hour in calm water. When the rate of a river's current is 3 mph, it takes Mark 2 hours longer to row a given distance upstream than to travel the same distance downstream. How long will it take him to row downstream? How many miles will he row in total? Time: Distance:
Answer:
utprirtdufyfohxhcf2667566596 y _&÷&8€5697= 34 minutos y el no te
15 FT
-
12 FT
16 FT
9 FT
What is the Volume:
What is the Total Surface Area:
Answer:
28 ft
Step-by-step explanation:
i used my fingers
Use order of operations to simplify the expression below.
42 + 3 ×(9−5)÷2
Answer:
48
plz mark as brainliest