Identify the coefficients: -3h - 2h + 6h +9

Answer:

to?

Step-by-step explanation:

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)

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

Answer:

80

gummi bears

Step-by-step explanation:

The distance from G(-3, -1) to the line whose equation is y = 4 is; d = 5

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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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.

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Answer:

Part A: -8

Part B: -4

Step-by-step explanation:

[tex]5-13=-8[/tex]

[tex]-8+4=-4[/tex]

Answer:

A, D

Step-by-step explanation:

Cost ($) = C

lbs (Blueberries) = W

One pound of blueberries costs $2.75 because to find how much 1 lb is you need to divide by 6.

6 is the number of pounds at that point in the graph, so you divide both the pounds and cost by 6 to find how much 1 lb is.

To find how much 5 lbs costs, multiply both the cost and number of pounds ($2.75 to 1 lb) by 5.

2.75 * 5 is 13.75 (This means C is wrong)

Do the same but with 12 for D

2.75 * 12 is 33, so D is correct

You could do the same method as above for E, but the easier way to do this is to see that the relationship of 3:9 is equal to a 1:3 ratio, which is the same as what the pounds to cost ratio is (which is 1:2.75)

Hope this helps! ^_^

A linear graph is represented by a straight line

The true options are:

The points on the graph are:

[tex]\mathbf{(x_1,y_1) = (0,0)}[/tex]

[tex]\mathbf{(x_2,y_2) = (6,16.50)}[/tex]

The slope (m) of the graph is:

[tex]\mathbf{m = \frac{y_2 - y_1}{x_2 - x_1}}[/tex]

So, we have:

[tex]\mathbf{m = \frac{16.50 - 0}{6-0}}[/tex]

[tex]\mathbf{m = \frac{16.50}{6}}[/tex]

[tex]\mathbf{m = 2.75}[/tex]

The above means that: 1 pound of blueberries costs $2.75

Hence, (a) is true, and (b) is false

Multiply 2.75 by 5, to get the cost of 5 blueberries

[tex]\mathbf{C(5) = 2.75 \times 5=13.75}[/tex]

This means that: (c) is false

Multiply 2.75 by 12, to get the cost of 12 blueberries

[tex]\mathbf{C(12) = 2.75 \times 12=33}[/tex]

This means that: (d) is true

(e) is false, because:

[tex]\mathbf{\frac{9}{3} \ne 2.75}[/tex]

Hence, the true options are: (a) and (d)

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Answer:

There are 38 snails.

Step-by-step explanation:

Answer:

A.4

Step-by-step explanation:

Median is the middle meaning 6th grade got 4 more hours then the 8th graders

Answer:

B-2.5

Step-by-step explanation:

Because the median for the first one is 5 and the median for the second one is 7.5 and 7.5-5=2.5

Answer:

the answer is 2,3,and 5

Step-by-step explanation:

Answer:

2, 3, and 5

Step-by-step explanation:

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:

Answer:

ya they r

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

there are 7 left because fish can't drown

Answer:

−n−323

Step-by-step explanation:

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!

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

Answer:

2nd answer

Step-by-step explanation:

It has a lot of strong beats and the rhythm sounds better than A and C.

Answer:

196

Step-by-step explan

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

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

Answer:

capital and underlined is your answer

Answer:

138,877.01

Step-by-step explanation:

Answer:

I think $5133.43

Step-by-step explanation:

Answer:

45

Step-by-step explanation:

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:

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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