Answer:
a )i) 0.117
ii)0.4126
b)0.7769
Please help me find the value of z.
====================================================
Work Shown:
Plug (x,y) = (3,2) into the F(x,y) function
[tex]F(x,y) = 2x^2 + 4y^2\\\\F(3,2) = 2(3)^2 + 4(2)^2\\\\F(3,2) = 34\\\\[/tex]
Next, find the gradient and plug in (x,y) = (3,2)
[tex]F(x,y) = 2x^2 + 4y^2\\\\\\\nabla F(x,y) = \Big< \frac{dF}{dx}, \frac{dF}{dy}\Big>\\\\\\\nabla F(x,y) = \Big< 4x, 8y \Big>\\\\\\\nabla F(3,2) = \Big< 4*3, 8*2 \Big>\\\\\\\nabla F(3,2) = \Big< 12, 16 \Big>\\\\\\[/tex]
This means,
[tex]z = \nabla F(3,2) \cdot \left(\vec{x} - \big< 3, 2 \big>\right) + F(3,2)\\\\\\z = \nabla F(3,2) \cdot \left(\big< x,y \big> - \big< 3, 2 \big>\right) + F(3,2)\\\\\\z = \nabla F(3,2) \cdot \big< x-3,y-2 \big> + F(3,2)\\\\\\z = \big< 12,16 \big> \cdot \big< x-3,y-2 \big> + 34\\\\\\z = 12(x-3)+16(y-2) + 34\\\\\\z = 12x-36+16y-32 + 34\\\\\\z = 12x+16y-34\\\\\\[/tex]
As a way to help check, note how plugging (x,y) = (3,2) into the last equation for z leads to z = 34. This helps confirm that we have the correct equation because the point (3,2,34) must be on F(x,y) and also on z since the plane is tangent to the F(x,y) curve at this point.
Madeline drove 180 miles in 4 hours. If she drove at a constant rate, how far
did she travel in one hour?
PLSSS HELP
Answer:
45
Step-by-step explanation: divide 180 by 4
5. Open Response Monique wants to rent
online movies. Movies Plus charges a
one-time fee of $20 plus $5 per movie.
Movies-To-Go charges $7 per movie. For how
many movies is the cost of renting movies
from Movies Plus and Movies-To-Go the
same?
Answer:
I'm going to say Movies-To-Go because this is an easy question.
Step-by-step explanation:
movies plus charges more than movies to go and your asking for which one is cheaper so movies to go is the answer.
The number of movies at which the cost of renting movies
from Movies Plus and Movies-To-Go is the same is 10 movies.
What is an equation?An equation is a mathematical statement that is made up of two expressions connected by an equal sign.
We have,
Movies plus:
One time fee = $20
Cost per movie = $5
We can write an equation for the total cost T for x movies:
T = 20 + 5x _____(1)
Movie-to-go:
Cost per movie = $7
We can write an equation for the total cost T for x movies:
T = 7x _____(2)
Now,
The number of movies at which the cost of renting movies
from Movies Plus and Movies-To-Go is the same is:
From (1) and (2),
20 + 5x = 7x
20 = 7x - 5x
20 = 2x
x = 20/2
x = 10
Thus,
The number of movies at which the cost of renting movies
from Movies Plus and Movies-To-Go is the same is 10 movies.
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Add 2/5+ 3/4 . Find common denominators
Answer: 23/20 or 1 3/20 20 is the common denominator
Step-by-step explanation: Step One: multiply denominators Take the 5 out of 2/5 and take the 4 out of 3/4 and multiply them 5 times 4 = 20 Step 2: add numerator Then Add the 2 out of 2/5 to the 3 out of 3/4 leaving you with 5/20. Step 3: find answer for your equation it simplify's to 1 3/20 or 23/20 in a improper fraction.
Write an expression for 368 and b more
Answer:
368=bx
Step-by-step explanation:
just quessing hope i helped.
2x2 - 4x –9 = 0
Completing the swuare
Step-by-step explanation:
[tex](a-b)^2=a^2-2ab+b^2\\\\2x^2-4x-9=0\qquad|\text{add 9 to both sides}\\\\2x^2-4x-9+9=0+9\\\\2x^2-4x=9\qquad|\text{divide both sides by 2}\\\\\dfrac{2x^2}{2}-\dfrac{4x}{2}=\dfrac{9}{2}\\\\x^2-2x=4.5\\\\x^2-2\cdot x\cdot1=4.5\qquad|\text{add}\ 1^2\ \text{to both sides}\\\\x^2-2\cdot x\cdot1+1^2=4.5+1^2\\\\(x-1)^2=5.5\iff x-1=\pm\sqrt{5.5}\qquad|\text{add 1 to both sides}\\\\x=1-\sqrt{5.5}\ \vee\ x=1+\sqrt{5.5}[/tex]
Joseph wants to buy a new smart TV. He has saved $40 and earns $15 per lawn of leaves he rakes. Which of the following equations can be used to determine the number of lawns Joseph needs to rake r, in order to buy the smart TV, which costs S dollars
Answer:
he rakes 3 lawns per day. he would have to work for 6.4 days to earn $45.
hope this helps!!!!!
I need help fast!!!!
Answer:
Step-by-step explanation:
You really should object to this question. Technically, none of the answers are correct. The dot is blacked in. Therefore it includes the endpoint.
Either ≤ or ≥ should be used.
Now that I have finished nit picking, the closest answer is
10x ≤ -5 Divide by 10
10x/10 ≤ -5/10
x ≤ -0.5
The closest answer is a.
=====================
w + 125.2 = 255 Subtract 125.2 from both sides
w = 255 - 125.2
w = 129.8
Question 1
x + 6 = 23 x = ____
Question 2
Solve.
x - 7 = 12 x = ___
Question 3
Solve. Round your answer to the nearest tenth.
4x = 13 x = ____
Question 4
Solve. Round your answer to the nearest tenth.
3x + 1 = 15
Answer:
1. x=17
2. x=19
3. x=3
4. x=4
Answer:
question 1:
3/11
question 2:
- 7/11
Step-by-step explanation:
in
What is the modulus after (–1 + StartRoot 3 EndRoot i ) gets raised to the 6th power?
2
12
32
64
Answer:
64
Step-by-step explanation:
Once you convert -1+sqrt3i intro trig form, the modulus is 2. Since you are raising it to the 6th power, 2 to the 6th power is 64. So, the modulus of (-1+sqrt3i)^6 is 64. Hope this helps!
Answer:
64
Step-by-step explanation:
please help me asap
Answer:
8 1/3 and 2/7
Step-by-step explanation:
3) The bakers at Healthy Bakery can make 350 bagels in 2 hours. How many
bagels can they bake in 22 hours? What was that rate per hour?
Answer:
3850
Step-by-step explanation:
Total bagels in 22 hours 3850, and the rate per hour is 175
Two collinear points are given in the table below
X Y
0 0
5 -2
Select all points that do not lie on this line.
a.(−10,−4)
b.(−3,−45)
c.(−15,6)
d.(−10,4)
e.(2,−45)
Answer:
I think the answer are C. , d. , E.
Step-by-step explanation:
Answer:
b & c
Step-by-step explanation: I got a 100 on the USA/test
9 % as a fraction in simplest form
Answer:
9/100
Step-by-step explanation:
9% = 9/100
Hope it helps
Answer:
9/100
Step-by-step explanation:
this is the simplest form
A cafeteria serves each student a 1/4 of a pound hamburger. How many
pounds of ground beef must be purchased to serve 700 students?
point of (9,0)(9,0) after a translation left 2 units and up 5 units?
Answer:
It's (7,5) I believe
Step-by-step explanation:
.98*125
13.75*12
143.43/31
Answer:
n = 6
n, = 6n = 6
n, = 6
n = 0
n, = 0
n = 4
n, = 4
n = 2
n, = 2n = 6
n, = 6
n = 0
n, = 0
n = 4
n, = 4
n = 2
n, = 2n = 6
n, = 6
n = 0
n, = 0
n = 4
n, = 4
n = 2
n, = 2n = 6
n, = 6
n = 0
n, = 0
n = 4
n, = 4
n = 2
n, = 2n = 6
n, = 6
n = 0
n, = 0
n = 4
n, = 4
n = 2
n, = 2n = 6
n, = 6
n = 0
n, = 0
n = 4
n, = 4
n = 2
n, = 2n = 6
n, = 6
n = 0
n, = 0
n = 4
n, = 4
n = 2
n, = 2n = 6
n, = 6
n = 0
n, = 0
n = 4
n, = 4
n = 2
n, = 2n = 6
n, = 6
n = 0
n, = 0
n = 4
n, = 4
n = 2
n, = 2n = 6
n, = 6
n = 0
n, = 0
n = 4
n, = 4
n = 2
n, = 2n = 6
n, = 6
n = 0
n, = 0
n = 4
n, = 4
n = 2
n, = 2n = 6
n, = 6
n = 0
n, = 0
n = 4
n, = 4
n = 2
n, = 2
'
what is 25 divided by 1 1/4
Answer:
20
Step-by-step explanation:
25 ÷ 1.25 = 20
find the slope of the line that passes through (7,7) and (3,2).
Answer:
-5/4
Step-by-step explanation:
to find the slope the equation is the secony - the first y over the second x- the first x so 2-7 is -5 and 3-7 is -4 so it would be -5/4
The equation of the piecewise defined function f(x) is below. What is the value of f(1)?
The value of the f(1) should be -1 when the equation of the piecewise defined function f(x).
Calculation of the value of f(1):here first we are required to determine which expression to use for f(1). The first function does not involve 1, because it is <, and not ≤
And,
The second functions involved 1, because it has a ≤ that meaning greater than or equal to, so this is the function we must use.
So, it can be like
f(1) = -1
= -(x^2)
= -(1)
= -1
hence,
The value of the f(1) should be -1 when the equation of the piecewise defined function f(x).
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write the linear equation in slope intercept form
Answer:
y=5/1x or y=5x
Step-by-step explanation:
Find the area of the shaded region in the figure below, if the radius of the outer circle is 10 and the radius of the inner circle is 8. Keep your answer is terms of pi.
Answer:
I assume that the figure your figure is like this:
The Area of the shaded Region is 36π .
What is a Circle ?A circle is a round shaped figure whose all the point lie in the same plane.
It is given that Area of the shaded region needs to be found in the figure attached
Radius of the outer circle is 10
and Radius of the inner circle is 8
The area of the shaded region = Area of the outer circle - area of the inner circle
Area of a circle = πr²
r is the radius of the circle.
Area of the outer circle = π(10)²
Area of the outer circle = 100π
Area of the inner circle = π (8)²
Area of the inner circle = 64 π
Area of the shaded Region = 100π - 64 π
Area of the shaded Region = 36π
Therefore the Area of the shaded Region is 36π .
The missing figure is attached with the answer.
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All of the points in the picture are on the same line.Find the values for "a" and "b". Explain your reasoning.
Answer:
I don’t know
Step-by-step explanation:
Go ask your teacher please help me
With this What is a linear function in the form y= mx + b for the line passing through (4.5, -4.25) with y-intercept 2.5?
f(5)=3x+2
What is the solution
Answer:
f=3/5x+2/5c
Step-by-step explanation:
help me wit this...ion even know what these r
Answer:
Curl up test
Muscular endurance is the ability of a muscle or group of muscles to sustain repeated contractions against a resistance for an extended period of time. It is one of the components of muscular fitness, along with muscular strength and power.
Someone please answer this assignment is due in 5 minutes
A recipe for banana bread requires 3 cups of bananas for every 1 1/2 cups of sugar used. At this rate, how many cups of sugar should be used if 8 cups of bananas are used?
What are the slope and the y-intercept of the graph of the linear function shown on the grid?
triand - easy online student testing
Slope =
-1/3
, y-intercept = -6
Slope = 3, y-intercept = -2
Slope = -3, y-intercept = -6
Slope = 4, y-intercept = -2
Answer:
it looks like you already have the answer but the answer would be slope as -1/3 and y intercept as -6
What is does 4x + 9 = 68
Answer:
x=19.75
Step-by-step explanation:
4x + 9 = 68
Subtract 9 from both sides:
4x = 59
Divide both sides by 4
X = 59/4
X = 14.75
14. Taxi company A charges $2 per ride plus $0.25 per mile. Taxi company B charges $3 per ride plus $0.15 per mile. Which equation could be used to find the number of miles for which both companies cost the same for one ride? O A.2.25m = 3.15m
B. 2 + 0.15m = 3 + 0.25m
C.2m +0.25 = 3m +0.15
D.2 + 0.25m = 3 + 0.15m
Answer:
So i beiieve the answer is B
Step-by-step explanation:
Because if you thinl about the ride for A is $2 plus 25 cents so its 2 plus 25m thats per mile and b 3 dollars and 15 so u keep adding up until u get the same from both equations if u need further explanation let me know
A cell phone plan costs $150 to start. Then, there is a $50 charge each month. What is
the total cost (including start up fee and monthly charge) to use the cell phone plan
for 2 months?
$200
$300
$250
$350
Answer:
so Y= 150 + 50x
Step-by-step explanation:
so y = 150 + 50 x 2 will = 250
50 x 2 = 100
100 + 150Y
= 250
Answer:
$250 is the answer. 150 + 2 (50) = 250
