Answer && Step-by-step explanation:
We know x is a linear graph which looks something like a diagonal line, coming from the bottom left towards the top right
it will always be negative due to the negative sign being outside the abs val,
and the abs val, making the inside positive.
thus the resulting graph will be inverted from what was previously said
it will now come from the bottom right to the top left (still a diagonal line)
Find a point on the ellipsoid x2+y2+4z2=36x2+y2+4z2=36 where the tangent plane is perpendicular to the line with parametric equations
Answer:
A point on the ellipsoid is (-4,2,2) or (4,-2,-2)
Step-by-step explanation:
Given equation of ellipsoid f(x,y,z) :[tex]x^2+y^2+4z^2=36[/tex]
Parametric equations:
x=-4t-1
y=2t+1
z=8t+3
Finding the gradient of function
[tex]\nabla f(x,y,z)=<\frac{\partial{f}}{\partial{x}},\frac{\partial{f}}{\partial{y}},\frac{\partial{f}}{\partial{z}}>\\\nabla f(x,y,z)=<2x,-2y,8x>[/tex]
So, The directions vectors=(-4,2,8)
Now the line is perpendicular to plane when direction vector is parallel to the normal vector of line
[tex]\nablaf(x,y,z)=(2x,2y,8z)=\lambda(-4,2,8)[/tex]
So, [tex]2x=-4\lambda[/tex]
[tex]\Rightarrow x=-2\lambda[/tex]
[tex]2y=2\lambda\\\Rightarrow y=\lambda\\8z=8\lambda\\\Rightarrow z=\lambda[/tex]
Substitute the value of x , y and z in the ellipsoid equation
[tex](2\lambda)^2+(\lambda)^2+4(\lambda)^2=36\\9(\lambda)^2=36\\\lambda^2=4\\\lambda=\pm 2[/tex]
With [tex]\lambda = 2[/tex]
x=-2(2)=-4
y=2
z=2
With[tex]\lambda =- 2[/tex]
x=-2(-2)=4
y=-2
z=-2
Hence a point on the ellipsoid is (-4,2,2) or (4,-2,-2)
help me with thisss simplify : 6³/6⁶
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You deposit $4000 each year into an account earning 5% interest compounded annually. How much.
will you have in the account in 20 years?
Answer:
138,877.01
Step-by-step explanation:
Answer:
I think $5133.43
Step-by-step explanation:
My four-year-old son loves playing out in the garden. His favourite activity is digging up and inspecting creepy crawlies, especially snails. If he is patient enough, after the initial shock of being uprooted, they will emerge cautiously from the safety of their shells and start to glide over his little hands leaving viscid trails of mucus. Eventually, when he tires of them, he will discard them, somewhat callously, in the compost heap or on the woodpile behind the shed. Late last September, after a particularly busy session in which he had unearthed and disposed of five or six large specimens, he came to me as I was sawing up wood for the fire and asked ‘Daddy, how many snails is [sic] there in the garden?’ A deceptively simple question for which I had no good answer. It could have been 100 or it could have been 1000. To be quite honest, he would not have comprehended the difference. Nevertheless, his question piqued an interest in me. How could we figure this out together? We decided to conduct an experiment. The next weekend, on Saturday morning, we went out to collect snails. After ten minutes, we had a total of 23 of the gastropods. I took a sharpie from my back pocket and proceeded to place a subtle cross on the back of each one. Once they were all marked up, we tipped up the bucket and released the snails back into the garden. A week later we went back out for another round. This time, our ten-minute scavenge brought us just 18 snails. When we inspected them closely we found that three of them had the cross on their shells, while the other 15 were unblemished. This was all the information we needed to make the calculation. What is the total amount of snails
Answer:
There are 38 snails.
Step-by-step explanation:
Kayla measures a distance of 50 inches. She needs to find the equivalent number of meters. Which conversion factors should she use? Check all that apply.
(A) StartFraction 2.54 centimeters Over 1 inch EndFraction
(B) StartFraction 1 inch Over 2.54 centimeters EndFraction
(C) StartFraction 1 meter Over 100 centimeters EndFraction
(D) StartFraction 100 centimeters Over 1 meter EndFraction
Answer: A and C
Step-by-step explanation: :)
Answer:
A and C [: (edg 2021)
Step-by-step explanation:
I got it correct on my assignment!
Which of the following numbers is a perfect square?
222
141
196
124
Answer:
196
Step-by-step explan
if there are 7 fish and 3 drown how many are left?
Answer:
7
Step-by-step explanation:
there are 7 left because fish can't drown
Elena’s bedroom door is 1.2 m wide. How wide should the door be on the scale drawing? Explain how you know.
Answer:
0.016cm
Step-by-step explanation:
I would convert 2cm in terms of meters
2cm/1 = 1m/100cm
since there are cm on top and bottom it cancels out
2•1 /1m• 100 = 2m/100 = .02 m
now you solve using proportions
x/.8 = .02/1
x= (.8)(.02) cross multiples)
x= 0.016
the area of a square is 73.96 m^2 .calculate the length of its side.
Answer:
8.6m
Step-by-step explanation:
mark me as the brainliest
Answer:
8.6 m
Step-by-step explanation:
Given the area, squareroot the area of the square and you will find the length of it's side.
Water flows through a pipe at a rate of 8 pints per hour. Express this rate of flow in cups per week.
Answer:
2,688 cups per week
Step-by-step explanation:
Lets begin by figuring out the pints per week/pints per day. Multiplying 8 times 24, we get our daily total of 192 pints per day. Multiply this by 7 and we get a total of 1344 pints per week. We now must convert these pints into cups, which can be done by multiplying the total amount of pints by 2. 1344 times 2 = 2,688 cups
What is the scale factor of ABC to DEF?
A. 1/2
B. 2
C. 10
D. 10/7
How do you do this question?
Answer:
B
Step-by-step explanation:
This is a ratio of polynomials. As n approaches infinity, an approaches 4n / n⁸ = 4 / n⁷, which is a convergent p-series.
Using Limit Comparison Test:
an = (2 + 4n) / (1 + n²)⁴
bn = 4 / n⁷
lim(n→∞) an / bn = 1
The limit is greater than 0, and bn converges, so an also converges.
Are the 2 triangles congruent?
Answer:
ya they r
Step-by-step explanation:
NEED HELP WITH MATH! Will Give Brainliest! Image is below.
10. A minute hand will clearly turn a total of 360° in an hour. How many minutes will it take for the minute hand
turn 155? Round to the nearest minute. Show the calculations that lead to your final answer
Answer:
5 min
Step-by-step explanation:
If the minute hand takes an hour to go 360°, going 155° would take 26 minutes.
The first step is to find the number of degrees the minute hand goes in a minute:
= Degrees in an hour / Minutes in an hour
= 360 / 60
= 6° per minute
In order to go 155°, the minute hand would go for:
= Degrees / Degrees per minute
= 155 / 6
= 25.83
= 26 minutes
In conclusion, it would take 26 minutes for the minute hand to turn 155°.
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7n - 8n - 323
????????????
Answer:
−n−323
Step-by-step explanation:
Can anybody help me please I need help
What is the answer tho
Answer:
to?
Step-by-step explanation:
Rate of change is a ______ that describes how much one quantity ______ in respect to another
Answer:
A rate of change is a RATE that describes how one quantity CHANGES in relation to another quantity.capital and underlined is your answer
Write an equation for each of the following phrases or word problems. Solve for the missing variable. a. Two times a number is 16. b. Two plus a number is 28. c. Three is a number divided by 6. d. Samuel is y years old. In 10 years, he will be 27. How old is Samuel? e. A third of a pizza is 400 calories. How many calories in the whole pizza?
Answer:
2x8=16
2+26=28
he is 17 years old and in ten years he will be 27
Step-by-step explanation:
Answer:
-1200 Calories
-$287 - $175 =$112
Sanjai was paid $112
Step-by-step explanation:
what is the density of the rectangular prism 3cm 4cm 6cm that weighs 36 grams?
Answer:
a. 0.5 g/cc
Step-by-step Explanation:
Given:
Measurement of rectangular prism = 3 cm × 4 cm × 6 cm
Mass of rectangular prism = 36 grams
Required:
Density of rectangular prism
SOLUTION:
[tex] Density = \frac{Mass}{Volume} [/tex]
Mass = 36 g
Volume = 3*4*6 = 72 cm³
[tex] Density = \frac{36}{72} [/tex]
Density = 0.5 g/cc
Use the graph below to answer the following question:
What is the average rate of change from x = −4 to x = 1?
A.-3
B.-1
C.0
D.1
Answer:
The answer is B.-1
Step-by-step:
When you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. f(x) = x2 and f(x + h) = (x + h)2 Therefore, the slope of the secant line between any two points on this function is 2x + h.p explanation:
Why is the percent increase from 45 to 75 not equal to the percent decrease from 75 to 45? Select three options
Answer:
the answer is 2,3,and 5
Step-by-step explanation:
Answer:
2, 3, and 5
Step-by-step explanation:
Express 3/4 in seconds. 30" 45" 50"
Answer:
45
Step-by-step explanation:
Federico read the nutritional information on a package of gummi bears.
The points on the following coordinate plane show how many gummi bears there are in 2, 3, and 5 servings.
Answer:
80
gummi bears
Step-by-step explanation:
Find the distance from G(-3, -1) to the line whose equation is y = 4
The distance from G(-3, -1) to the line whose equation is y = 4 is; d = 5
How to find the Distance of a Line?
We are given the coordinate of point G as G(-3, -1).
We want to find the distance between that coordinate and the line y = 4.
Comparing the line with the equation Ax + By + C = 0 gives;
B = 1 and C = -4
Now, Equation for distance between line and coordinate axes points is;
d = |Ax + By + C|/√(A² + B²)
Thus;
d = |0(-3) + 1(-1) - 4|/√(0² + 1²)
d = |-5|
Since absolute value, then d = 5.
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b is (4,-10) and c is (10,-4) what is the length of b and c ?
Answer:
6rad2
Step-by-step explanation:
Answer:
8.845 units
Step-by-step explanation:
First start by plotting the points on a graph. Doing so will give you two points that you can connect and then turn into a triangle. Find the length and height of the triangle by counting how many units long each is. The length should be 6 units, while the height should also be 6 units. You can then use the pythagorean theorum to find the length of b to c:
A^2 + B^2 = C^2
6^2 + 6^2 = C^2
36 + 36 = C^2
72 = C^2
C = 8.845 units
Rachel is recording the temperature at her school every morning this week. On Monday, the temperature was 5°C. Part A: On Wednesday, Rachel calculated that the temperature was 13 degrees colder than Monday. What temperature did Rachel record on Wednesday? Part B: On Friday, Rachel calculated that the temperature was 4 degrees warmer than Wednesday. What temperature did Rachel record on Friday?
Answer:
Part A: -8
Part B: -4
Step-by-step explanation:
[tex]5-13=-8[/tex]
[tex]-8+4=-4[/tex]
How many 2/3 go into 4
Answer:
2/3,4/3.
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
the answer is 6, this is because 4/(2/3) turns into 12/2
Is ABC= A DEF? If so, name the congruence postulate that applies.
Answer:
Congruent ASA
Step-by-step explanation:
We are given 2 angles and 1 side length. In order, first there is the angle, then side length, then another angle. The ASA postulate says that the triangle will be congruent.