Please help me with my homework!!!!

The rate of change of f with respect to t along the curve r(t) is 0. This can be answered by the concept of differentiation.

To use the chain rule to find the rate of change of f(x, y, z) = x² + y² + √z with respect to t along the curve r(t) = (1,12,-1), we first need to find the derivatives of each component of the curve with respect to t.

r'(t) = (dx/dt, dy/dt, dz/dt) = (0, 0, 0)

Next, we need to find the partial derivatives of f with respect to each variable:

∂f/∂x = 2x
∂f/∂y = 2y
∂f/∂z = 1/2√z

Using the chain rule, we can now find the rate of change of f with respect to t along the curve r(t):

df/dt = ∂f/∂x × dx/dt + ∂f/∂y × dy/dt + ∂f/∂z × dz/dt

= 2(1)(0) + 2(12)(0) + 1/2√(-1)(0)

= 0

Therefore, the rate of change of f with respect to t along the curve r(t) is 0.

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Real number \($x^2+y^2= \boxed{158}$\)

Let's start by using the formulas for arithmetic mean and geometric mean:

Arithmetic mean:

\($\frac{x+y}{2}=7 \Rightarrow x+y=14$\)

Geometric mean:

\($\sqrt{xy}=\sqrt{19} \Rightarrow xy=19$\)

Now, we can square the equation for the arithmetic mean:

\($(x+y)^2=14^2 \Rightarrow x^2+2xy+y^2=196$\)

Substituting\($xy=19$\), we get:

\($x^2+y^2+2(19)=196$\)

Simplifying:

\($x^2+y^2= \boxed{158}$\)

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Answer:

About 3.58

Step-by-step explanation:

Answer:

96_24

I don't know If I have to express it but here.

Step-by-step explanation:

Answer:

21 and y128

Step-by-step explanation:

Answer:

i don't know the answer but i do have this book just look up answer key and the name of the book for any more answer X D

Step-by-step explanation:

big brain :)

Answer:

14a+22b

Step-by-step explanation:

4(2a+4b) + 3(2a+2b)

Distribute the 4

8a+16b + 3(2a+2b)

Distribute the 3

8a+16b+6a+6b

Combine like terms

14a+22b

Answer:

14a + 22b

Step-by-step explanation:

First, we need to expand:

4(2a) + 4(4b) + 3(2a) + 3(2b)

Now, we can continue and solve

8a + 16b + 6a + 6b

We can simplify

8a + 6a + 16b + 6b

14a + 22b

The answer is 14a + 22b because we don't know the values of a or b, so we cannot solve anymore.

Happy learning!

Answer:

5649.13 ft^2

Step-by-step explanation:

Good luck on your assignment!

The equation of line that passes a point (–3, 7) and has slope of 4, in the point-slope form is y - 7 = 4 (x + 3)

A linear equation can be expressed in three forms:

- slope intercept form : y = mx + c

- point-slope form: y - y₁ = m (x - x₁)

- standard form: Ax + By + C = 0

Where:

m = slope

(x₁, y₁) = point on the line

A, B, C are constant

In this problem, the point is (–3, 7) and the slope is 4. Hence,

x₁ = –3

y₁ = 7

m = 4

Plug these parameters into the equation:

y - y₁ = m (x - x₁)

y - 7 = 4 (x - (-3))

y - 7 = 4 (x + 3)

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Answer:

6m

Step-by-step explanation:

the side of first square = 3 m

area of first square = 3^2= 9 m^2

let the side of second square = x m

since diagonal of first square = x m as per the question

in a square each angle is 90 degree

therefore by applying pythagorus theorem ,

diagonal ^2 = side^2 + side ^2

diagonal^2 = 3^2+3^2=9+9

DIAGONAL= square root of 18

diagonal= 3\(\sqrt{2}\) m = side of second square

therefore in second square ,

one angle is 90  degree , therefore by applying pythagorue theorem

diaqonal^2 = side ^2 + side ^2 = (3\(\sqrt{2}\))^2 + ( 3\(\sqrt{2}\))^2

diagonal ^2 = 18 + 18

diagonal = square root of 36

therefore diagonal of second square is 6m

hope it helps you... please mark me as the brainliest..

Answer:

6m explained it all hope it helps

I think that for a its 1.12 and for b its 39424

100 + 12 = 112
112/100 = 1.12

35200 * 1.12 = 39424

Answer:

y=-0.6x+1.8

Step-by-step explanation:

Since the line is perpendicular to that line, it has the same slope. So, the slope is -3/5. Also, it passes through the point 3, 0. So, y=-3/5x + b. To find the y intercept, lets solve the equation with the value of x being the x intercept. 0=-3/5(3)+b. 0=-9/5+b. Add 9/5 to both sides. b=1 4/5 So, the answer is y=-0.6x+1.8

From these examples, we can conclude that a point has a nonnegative abscissa and positive ordinate when the x-coordinate is greater than or equal to zero, and the y-coordinate is greater than zero.

To locate the nonnegative abscissa and positive ordinate, we need to understand what these terms mean.

The abscissa refers to the x-coordinate on a graph, while the ordinate refers to the y-coordinate. The nonnegative abscissa means that the x-coordinate must be greater than or equal to zero, and the positive ordinate means that the y-coordinate must be greater than zero.

To find the nonnegative abscissa and positive ordinate, we can plot points on a coordinate plane. Let's consider a few examples:

Example 1:
Point A: (0, 3)
In this example, the abscissa (x-coordinate) is 0, which is nonnegative. The ordinate (y-coordinate) is 3, which is positive. Therefore, point A has a nonnegative abscissa and positive ordinate.

Example 2:
Point B: (2, -4)
In this example, the abscissa (x-coordinate) is 2, which is nonnegative. However, the ordinate (y-coordinate) is -4, which is not positive. Therefore, point B does not have a positive ordinate.

Example 3:
Point C: (-1, 5)
In this example, the abscissa (x-coordinate) is -1, which is not nonnegative. Therefore, point C does not have a nonnegative abscissa.

From these examples, we can conclude that a point has a nonnegative abscissa and positive ordinate when the x-coordinate is greater than or equal to zero, and the y-coordinate is greater than zero.

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Answer:

its A

Step-by-step explanation:

i think

Answer:

25

Step-by-step explanation:

let x = 36

y =  9

x2 = 100

y2 = y2

y : x :: y2 : x2

We know,

Product of means = Product of extremes

That is,

y(x2) = x(y2)

Substituting the values,

9(100) = 36(y2)

=> 36(y2) = 900

=> y2 = 900/36

=> y2 = 25

so when x = 100, y =25

Answer:

so their was 3 to 4 so we need to divide 3564 by 3

and then mulitply by 4 to get 4752

Hope This Helps!!!

ATQ

\(\\ \tt\longmapsto \dfrac{3}{4}=\dfrac{x}{x+3564}\)

\(\\ \tt\longmapsto 4x=3x+10692\)

\(\\ \tt\longmapsto 4x-3x=10692\)

\(\\ \tt\longmapsto x=10692\)

To determine the value of the standard normal random variable z for which the area to the right of z is 0.2643, we can use the standard normal distribution table or a statistical software.

The value of z corresponding to an area to the right of z can be obtained by subtracting the given area from 1 since the area to the right is complementary to the area to the left. Therefore, the area to the left of z would be 1 - 0.2643 = 0.7357.

By referring to the standard normal distribution table or using a statistical software, we can find the z-value associated with an area of 0.7357. In this case, the z-value is approximately 0.611, indicating that the value of z for which the area to the right is 0.2643 is approximately 0.611.

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Answer:

69 degrees

Step-by-step explanation:

The measures of a triangle add up to 180 degrees. 180-100-11 = 69

Answer:

Step-by-step explanation:

A direct variation is a linear relationship between variables so they have a constant ratio. It is a special case of the slope-intercept form y =mx +b, where b = 0.

Answer:

11.75 ≥ x

Step-by-step explanation:

First you subtract 6.50 from 30. You will get 23.50. Next, you divide by 2 on both sides.

The answer is 5/6 i have to say it right or a bot deletes my answer

\( \Large{\boxed{\sf w = 19}} \)

\( \\ \)

Here, we will try to solve the given equation. In other words, we will try to find the value of w that makes the equality true.

\( \\ \)

Given equation:

\( \sf \dfrac{w + 8}{-3} = -9 \)

\( \\ \)

First, multiply both sides of the equation by -3:

\( \sf \dfrac{w + 8}{-3} \times (-3) = -9 \times (-3) \\ \\ \\ \sf w + 8 = 27 \)

\( \\ \)

Now, isolate the variable (w) by subtracting 8 from both sides of the equation:

\( \sf w + 8 - 8 = 27 - 8 \\ \\ \\ \boxed{\boxed{\sf w = 19}} \)

\( \\ \\ \)

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Answer:

The value of w is 19.

Step-by-step explanation:

Given:

Multiply both sides of the equation by -3 to eliminate the fraction:

Simplifying, we get:

Subtract 8 from both sides of the equation to isolate w:

Simplifying, we get:

\(\therefore\) The value of w is 19.

After considering the equation, inverse of y = \(9x^ {2}\) - 4 is found as  \(f^{-1x}\)= ±√[(x + 4)/9].

To find the inverse of the function y = \(9x^{2}\) - 4, we can follow these steps:

x = \(9y^{2}\) - 4

x + 4 = \(9y^{2}\)

\(y^{2}\) = (x + 4)/9

y = ±√[(x + 4)/9]

Note that since we are finding the inverse of a function, we need to include both the positive and negative square roots to ensure that the inverse is a function.

3. Switch the roles of x and y by replacing y with \(f^{-1x}\) and x with f(y):

\(f^{-1x}\) = ±√[(x + 4)/9]

Therefore, the inverse of y = 9x² - 4 is \(f^{-1x}\) = ±√[(x + 4)/9].

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The correct statement regarding the measures of spread is given as follows:

The IQR is the best measurement of spread for games and movies.

A box and whisker plot shows the five number summary from a data-set, listed and explained as follows:

The measure of spread from a box and whisker plot is the interquartile range, which is calculated as the difference of the third quartile by the first quartile, as follows:

IQR = Q3 - Q1

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Answer:

so the length of square b is 50%.

Answer:

Step-by-step explanation:

You want to find the equation for a line that passes through the two points:

(-2,0) and (3,10).

First of all, remember what the equation of a line is:

y = mx+b

Where:

m is the slope, and

b is the y-intercept

First, let's find what m is, the slope of the line...

The slope of a line is a measure of how fast the line "goes up" or "goes down". A large slope means the line goes up or down really fast (a very steep line). Small slopes means the line isn't very steep. A slope of zero means the line has no steepness at all; it is perfectly horizontal.

For lines like these, the slope is always defined as "the change in y over the change in x" or, in equation form:

So what we need now are the two points you gave that the line passes through. Let's call the first point you gave, (-2,0), point #1, so the x and y numbers given will be called x1 and y1. Or, x1=-2 and y1=0.

Also, let's call the second point you gave, (3,10), point #2, so the x and y numbers here will be called x2 and y2. Or, x2=3 and y2=10.

Now, just plug the numbers into the formula for m above, like this:

m=  

10 - 0

3 - -2

or...

m=  

10

5

or...

m=2

So, we have the first piece to finding the equation of this line, and we can fill it into y=mx+b like this:

y=2x+b

Now, what about b, the y-intercept?

To find b, think about what your (x,y) points mean:

(-2,0). When x of the line is -2, y of the line must be 0.

(3,10). When x of the line is 3, y of the line must be 10.

Because you said the line passes through each one of these two points, right?

Now, look at our line's equation so far: y=2x+b. b is what we want, the 2 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the two points (-2,0) and (3,10).

So, why not plug in for x and y from one of our (x,y) points that we know the line passes through? This will allow us to solve for b for the particular line that passes through the two points you gave!.

You can use either (x,y) point you want..the answer will be the same:

(-2,0). y=mx+b or 0=2 × -2+b, or solving for b: b=0-(2)(-2). b=4.

(3,10). y=mx+b or 10=2 × 3+b, or solving for b: b=10-(2)(3). b=4.

See! In both cases we got the same value for b. And this completes our problem.

Answer: To determine the marginal cost of the third taco for Jeremy, we need to compare the cost of buying it individually to the cost of buying it as part of the value meal.

Buying two tacos individually:

Buying the value meal with three tacos:

To calculate the marginal cost, we subtract the cost of buying the value meal from the cost of buying two tacos individually:

The negative value indicates that buying the value meal is more cost-effective than buying the third taco individually. Therefore, the marginal cost of the third taco for Jeremy would be $0 (option A).

Answer:

We have the coordinates of vertex T after the translation as (-5,0)

Step-by-step explanation:

Firstly, we get the coordinates of vertex T

we have this as;

(-2,-2)

Translating to the left means we are going to subtract the specific units from the x-coordinate

2 units up means we are going to add to the y-coordinate value

So, we have it that;

(-2-3, -2+ 2) = (-5,0)

1.738 kg of coffee are required to produce 200 cups of coffee.

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0. A proportion is an equation in which two ratios are set equal.

Now it is given that,

1 pound of coffee yield 50 cups.

Since 1 pound = 0.4535 kg

Therefore, 0.4535 kg of coffee yield 50 cups.

Let x be the kgs of coffee that yields 200 cups of coffee.

Thus by proportion we can write,

0.4345 / 50 = x / 200

By cross multiplication we get,

50 x = 0.4345 * 200

⇒ 50x = 86.9

⇒ x = 86.9 / 50

⇒ x = 1.738 kgs

which is the required amount of coffee need to yield 200 cups.

Thus, 1.738 kg of coffee are required to produce 200 cups of coffee.

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Answer:

1 3/4, 9 1/4

Step-by-step explanation:

continue the pattern

Answer:

47/6

Step-by-step explanation:

Given that :

Time taken to paint 3 cars = 4 hours

Time taken to paint 2 trucks = 5 hours

How long will it take him to paint 4 cars and a truck

If 3 cars = 4 hours ;

Then ;

1 car = (4/3)hours

If 2 trucks = 5 hours

Then;

1 truck = (5/2) hours = 2 1/2 hours

Time required To paint 4 cars :

4 × (4/3) = 16/3 hours

Time required to paint 1 truck :5/2 hours

Total time required :

(16/3 + 5/2) = (32 + 15) / 6 = 47/6