Looks like the given curve is
5xy + z⁴x - 3yz = 3
Differentiate both sides with respect to x :
5y + 4z³x ∂z/∂x + z⁴ - 3y ∂z/∂x = 0
Solve for ∂z/∂x :
(4z³x - 3y) ∂z/∂x = - (5y + z⁴)
∂z/∂x = - (5y + z⁴) / (4z³x - 3y)
At the point (1, 1, 1), this derivative is
∂z/∂x (1, 1, 1) = - (5 + 1) / (4 - 3) = -6
If an items costs $41.04, including an 8% sales tax, what was the cost of
the item before taxes?
Answer:
$38
Step-by-step explanation:
I solved this by doing a proportion, 41.04/108 = x/100 to find the original price before the 8% tax. To solve this proportion you have to isolate the variable, so you would do the cross product and multiply (41.04 x 100) and have that equal to 108x. So then because you have 108x = 4104, isolate x by dividing by 108 and you get 38, thus $38.
You can also check your work by multiplying 38 by 0.08 to find the amount of sales tax added, and if you do this you will get the value $41.04.
A percentage is a number or ratio that represents a fraction of 100.
If an item costs $41.04, including an 8% sales tax then the cost of the item before the tax is $37.76.
What is a percentage?A percentage is a number or ratio that represents a fraction of 100.
Example:
50% = 50/100 = 1/2
20% = 20/100 = 1/5
25% = 25/100 = 1/4
10% = 10/100 = 1/10
5% = 5/100 = 1/20
We have,
Cost of an item including tax = $41.04
Sales tax = 8%
8% = 8/100
The cost of the item without the sales tax:
= 41.04 - (8% of 41.04)
= 41.04 - (8/100 x 41.04)
= 41.04 - 3.2832
= 37.76
Thus,
The cost of the item before the tax is $37.76.
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E 4) In the diagram below, the dimensions of the large rectangle are (3x-1) by (3x+7) units. The dimensions of the cut-out rectangle are x by (2x+5) units. Which choice expresses the area of the shaded region, in Square units?
Answer:
Option (D)
Step-by-step explanation:
Area of a rectangle = Length × width
Area of large rectangle = (3x - 1)(3x + 7) square units
= (9x² + 21x - 3x - 7)
= 9x² + 18x - 7
Area of small rectangle = (2x + 5)x
= (2x² + 5x) square units
Area of the shaded region = Area of large rectangle - Area of small rectangle
= (9x²+ 18x - 7) - (2x² + 5x)
= (9x² - 2x²) + (18x - 5x) - 7
= (7x² + 13x - 7) square units
Therefore, Option (D) will be the correct option.
The expression that represents the area of the shaded region is:[tex]7x\² + 13x - 7[/tex]
The dimension of the big rectangle is given as:
Length: 3x - 1Width: 3x + 7So, the area of the rectangle is:
[tex]Area = Length \times Width[/tex]
[tex]Area= (3x - 1) \times (3x + 7)[/tex]
Expand
[tex]Area = 9x\² + 21x - 3x - 7[/tex]
[tex]Area = 9x\² + 18x - 7[/tex]
The dimension of the small rectangle is given as:
Length: 2x + 5Width: xSo, the area of the rectangle is:
[tex]Area = Length \times Width[/tex]
[tex]Area= (2x + 5) \times x[/tex]
Expand
[tex]Area = 2x\² + 5[/tex]
The area of the shaded region is the difference between the area of the big and small rectangles.
So, we have:
[tex]Area = (9x\²+ 18x - 7) - (2x\² + 5x)[/tex]
Expand, and collect like terms
[tex]Area = 9x\²- 2x\² + 18x -5x- 7[/tex]
[tex]Area = 7x\² + 13x - 7[/tex]
Hence, the area of the shaded region is [tex]7x\² + 13x - 7[/tex]
Read more about areas at:
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Is Oregon a swing or a safe state?
Answer:
Oregon is a safe state
Step-by-step explanation:
this election it is also democratic
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I- I'm speechless
Do you even have a question-
FEMALE REPRODUCTIVE SYSTEM (SE-7)
(have this done correctly for brainiest)
label the image with the words below.
Answer:
reproductive
Step-by-step explanation:
Find the equation of the parabola with a focus at the point (2,5), and a directrix of y = 3.
Answer:
1,3
Step-by-step explanation:
In a random sample of 100 voters, 48 said they planned on voting for the Republican presidential candidate. On election day, 51% of voters actually voted for the Republican presidential candidate. (a) Identify the value of the sample proportion.
Answer: 0.48 .
Step-by-step explanation:
The sample proportion is a ratio of number of successes in a sample to the sample size.Let p be the proportion of voters actually voted for the Republican presidential candidate.
Given: In a random sample of 100 voters, 48 said they planned on voting for the Republican presidential candidate.
Sample proportion: [tex]\hat{p}=\dfrac{48}{100}=0.48[/tex]
Hence, the sample proportion is 0.48 .
What is the common difference between successive terms in the sequence?
2, 8, 14, 20, 26, .
ΟΟΟΟ
-6
-4
4
6
An airplane can ascend at a rate of meters in of a second. How many meters can the airplane ascend in one second?
A. 35
B. 52 1/2
C. 78 3/4
D. 39 3/4
Answer:
78 3/4 I think is the answer
Sasha traveled 200 miles in 4.5 hours at this rate how many miles can you travel in 10 hours round your final answer to the nearest mile
Answer:
844miles
Step-by-step explanation:
its 844 miles
A music store owner noted that CD sales had dropped 12% from one quarter to the next. If the owner sold 460 units in the first quarter, how many did she sell in the next quarter?
Answer:
404.8
Step-by-step explanation:
100%=460
12%=x
x=(12*460)/100
x=55.2
Answer=460-x
The term "jet stream" is often used by weather forecasters to describe
A: The cloud-like condensation trails that are sometimes seen behind jet aircraft.
B: Warm pacific winds associated with volcanic activity in the western pacific which carry heat to the north pole
C: Solar winds that bring high energy particles to the upper atmosphere, providing heat which sets off convection cycles disturbing weather in the tropical latitudes
D: The west to east winds that circle the globe, often just below the poles in latitude and just beneath the stratosphere in elevation
Answer:
daddy chill what does the man say?
Step-by-step explanation:
???
Mr. Granados deposited $5,300 into an account. He made no additional deposits or withdrawals. Mr. Granados earned 6.5% annual simple interest on the money in the account. What was the balance in dollars and cents in Mr. Granados' account at the end of 6 years?
HELP ASAPPP
What is 60% of 40?
Answer:
The answer is 24
Step-by-step explanation:
3h2 + 8m for h = 3 and m = 2
Answer: 43!
Step-by-step explanation:
Show a numerical expression of 1/3 of 11/16
Answer:
11/48 = 0.02083
I'm pretty sure-
Use: Ck
n!
k! (n-k)!
to solve the combination.
During a lunch seminar chocolate,
caramel, and strawberry toppings
were available. How many two-topping
sundaes are possible?
Answer:
3
Step-by-step explanation:
Chocolate-caramel
Carmel- strawberry
Chocolate-strawberry
That’s 3 ways.
I WILL MARK BRAINLIST
Answer:
D
Step-by-step explanation:
Answer:
A
Step-by-step explanation:
It translates 5 up and 3 left
The original price of pair of jeans is $40. The sales prices is 20% off the original price. What is the discount? Answer must be listed in $ form.
Answer:
The discount is $20 off or 50% off.
Step-by-step explanation:
It is easy math.
What is the value of this expression if h = 8,7 = -1, and k = -12? 13 20
Answer:
Step-by-step explanation:
What is the value of this expression if h = 8,7 = -1, and k = -12? 13 20
12=r-(34-2) equation
Please help. I’m confused and dumb-
please help it’s due right now. ofc it’s a quiz:D
Answer:
D is the answer.
Step-by-step explanation:
Y is going up by 3, while x is going up by 2. 3 over 2, which is the last answer.
we now its 3/2 because of the formula rise/run (rise over run).
6 More Than a Number is 14 what is the number?
Answer:
8
Step-by-step explanation:
a+6=14
a=14-6
a=8
Therefore
8+6=14
A box has the following measurements:
Length - 8 cm
Width - 4.2 cm
Height - 3.1 cm
The volume of the box is calculated as length times width times height
Complete the statements to find the box's volume.
1. First multiply length times width. Show your work and explain how you placed the
decimal point
Answer:
33.6
Step-by-step explanation:
length× width
= 8×4.2
8.0
× 4.2
_____
160
+3200
_____
3360
______
Here, in the question it is 8×4.2. We kept .0 to 8. That is 8.0×4.2. Here, we have two decimal points. So we should keep the two decimal points in the answer. Then, the answer is 33.6
The residual for a predicted relative abundance when the rainfall was 3 inches is 1.25. What is the actual relative abundance when the rainfall was 3 inches
Answer:
The actual relative abundance will be "7.59".
Step-by-step explanation:
The residual on something like a curve anywhere at a point becomes expressed as the maximum at either the position between some of the real y-value as well as the expected y-value. Consequently, the difference regarding true relative abundance as well as expected relative abundance seems to be 1.25 whether we presume that the x-variable represents rainfall, as well as they-variable, represents the relative abundance of locusts.The predicted relative abundance for 3 inches rainfall will be:
= [tex]6.7 - (0.12\times 3)[/tex]
= [tex]6.34[/tex]
The residual will be:
= [tex]actual - predicted \ relative \ abundance[/tex]
= [tex]1.25[/tex]
Now,
The actual relative abundance will be:
= [tex]1.25 + predicted \ relative \ abundance[/tex]
= [tex]1.25 + 6.34[/tex]
= [tex]7.59[/tex]
Remember that perhaps the residual positive value means that even the calculation underestimates the relative abundance. The real relative abundance, however, is 7.59.
A rectangle has an area of 36 square units and a width of 2 units. What is the unknown length
Answer:
18
Step-by-step explanation:
The formula for area is a=lw
So to find the length, you would divide the area by the width. So 36 divided by 2 is 18.
The cost of 24 pounds of cat food is $54. What is the cost per pound of cat food?
O $2.20
O $2.50
O $2.00
O $2.25
Answer:
$2.25
Step-by-step explanation:
To find the cost per pound you have to divide $54 by 24.
HEY CAN ANYONE PLEASE HELP ME:))!!!
there could be a calculator online to solve it
just need the answer
Answer:
the pic is black send another one