find the y-intercept of the table.

Using implicit differentiation dz/dt = -34

Differentiation is the process of finding the derivative of a function.

Since x² + y² + z² = 9, dx/dt = 8, and dy/dt = 9, we need to find dz/dt when (x, y, z) = (2, 2, 1).

So, differentiating implicitly and also applying the chain rule, we have that

x² + y² + z² = 9

d(x² + y² + z²)/dt = d9/dt

dx²/dx × dx/dt  + dy²/dy × dy/dt + dz²/dz × dz/dt = d9/dt

2xdx/dt  + 2ydy/dt + 2zdz/dt = 0

xdx/dt  + ydy/dt + zdz/dt = 0

Making dz/dt subject of the formula, we have that

zdz/dt = -(xdx/dt  + ydy/dt)

dz/dt =  -(xdx/dt  + ydy/dt)/z

Given that

Substituting the values of the variables into the equation, we have that

dz/dt =  -(xdx/dt  + ydy/dt)/z

dz/dt =  -(2 × 8  + 2 × 9)/1

= -(16 + 18)/1

= - 34

So, dz/dt = -34

Learn more about implicit differentiation here:

https://brainly.com/question/29543075

#SPJ1

The question is incomplete. Here is the complete question

If  x² + y² + z²  = 9, dx/dt = 5, and dy/dt = 4, find dz/dt when (x, y, z) = (2, 2, 1).

Answer: The answer is 14.55

Step-by-step explanation:

Answer:

1,164 ÷ 80 is equal to 14.55.

Answer:

$4,880.80

Step-by-step explanation:

A = P(1 + r/n)^nt

Where,

A = future value

P = principal = $4,000

r = interest rate = 2% = 0.02

n = number of periods = 2

t = time = 10

A = P(1 + r/n)^nt

= 4000( 1 + 0.02/2)^2*10

= 4000(1 + 0.01)^20

= 4000( 1.01 )^20

= 4000(1.2202)

= 4,880.8

A = $4,880.80 to the nearest cents

Jimmy's balance after 10 years will be $ 4880.8

Jimmy invests $4,000 in an account compounded  semi annually according to the given conditions

Given

Principal = $4000

Annual Internet Rate = 2% =0.02

Let the amount be Amount = A  

Compounding frequency = 2

Time = 10 years

Equation for amount of compound interest is given by the equation (1)

\(A = P\times (1 + \dfrac{r}{n} ) ^{nt}.....(1) \\A = 4000 ( 1 + \dfrac{0.02}{2} )^{ 2\times10}\\A = 4000 (1+ 0.01 )^{20} \\A = 4880.8\)

So his balance after 10 years will be $ 4880.8

please refer to the link given below for more information

https://brainly.com/question/24802506

Answer:

x+ x=?

Step-by-step explanation:

Answer:

D 2/3

Step-by-step explanation:

Rise over run. The x values is -3 and 9 which is the distance or run between the dots. Find the distance by finding which number is between then so -3+x=9 where x is 12. The y values are -7 and 1. Find y where -7+y=1 where y is 8. That is the rise. So the rise is 8 and that is over the run, 12, gives you 8/12 which can be simplified to 2/3.

The term "optimal height" typically refers to the ideal or best-suited height for a particular purpose or context. The specific meaning of optimal height can vary depending on the context in which it is used.

To find the optimal height (h) for the given values, we can substitute these values into the formula:

h = 0.00252d².²⁷ / e

Substituting d = 25 m and e = 2.3 m:

h = 0.00252(25)².²⁷ / 2.3

Calculating the values within parentheses first:

h = 0.00252 * 625².²⁷ / 2.3

Next, raise 625 to the power of 2.27:

h = 0.00252 * (625^2.27) / 2.3

Using a calculator or computer software, we can find the value of 625^2.27:625^2.27

≈ 810,529.948

Substituting this value back into the formula:

h ≈ 0.00252 * 810,529.948 / 2.3

Now, perform the multiplication:

h ≈ 2,045.520 / 2.3h ≈ 889.355652

Therefore, for the given values of d = 25 m and e = 2.3 m, the optimal height h is approximately 889.36 meters.

To know more about Optimal Height visit:

https://brainly.com/question/14657962

#SPJ11

When d = 25 m and e = 2.3 m, the optimal height of the letters, h, is approximately 0.3107 meters

To find the optimal height, h, of the letters, we can substitute the given values of d and e into the formula

\(h = \frac{0.00252d^{2.27}}{e}\)

Given values:
d = 25 m
e = 2.3 m

Substituting these values into the formula, we have:

\(h = \frac{0.00252(25)^{2.27}}{2.3}\)

First, let's simplify the numerator:
\(0.00252 * (25)^{2.27} &= 0.00252 * 25^{2.27} \\&\approx 0.00252 * 282.8475 \\&\approx 0.7135\)

Now, substitute the simplified values into the formula:
h = 0.7135 / 2.3

To find the value of h, divide the numerator by the denominator:
h ≈ 0.3107

Therefore, when d = 25 m and e = 2.3 m, the optimal height of the letters, h, is approximately 0.3107 meters.

Learn more about optimal height:

https://brainly.com/question/30144246

#SPJ11

To determine the number of miles David drove the truck, we need to subtract the base fee and divide the remaining amount by the additional charge per mile.

Let's denote the number of miles driven by 'm'. The equation can be set up as follows:

$209.57 - $14.99 = $0.94 * m

Simplifying the equation:

$194.58 = $0.94 * m

To solve for 'm', we divide both sides of the equation by $0.94:

m = $194.58 / $0.94

m ≈ 206.7

Therefore, David drove the truck for approximately 206.7 miles. Since it's not possible to drive a fraction of a mile, we can assume that David drove either 206 or 207 miles, depending on the rounding convention used.

To learn more about equation : brainly.com/question/29657983

#SPJ11

Step-by-step explanation:

FX=3+5+4+3+5+4

=24

N=6

mean (x)=?

Now,

x=FX÷N

=24÷6

=4

The rate at which Riya is applying mulch in m³/m² is 0.25m³/m²

From the question, we are to determine the rate at which Riya is applying mulch in m³/m²

From the given information, we have that

Riya is applying mulch to her garden at a rate of 250,000 cm³ of mulch for every m² of the garden space

That is,

The rate at which she is applying mulch is 250,000 cm³/m²

Now, to determine the rate in m³/m², we will convert 250,000 cm³ to m³

Converting 250,000 cm³ to m³

250,000 cm³  = 250000 × (10⁻²)³ m³

= 250000 × 10⁻⁶ m³

=  0.25 m³

Hence, the rate at which Riya is applying mulch in m³/m² is 0.25m³/m²

Learn more on Unit conversion here: https://brainly.com/question/17748772

#SPJ1

The line y = c is horizontal line, parallel to the x axis passing through the point (0, c).

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The line is,

⇒ y = c

Now, We know that;

Equation of line is,

⇒ y = mx + b

Where, m is slope and b is y - intersect.

When m = 0;

Equation of line is,

⇒ y = b

Hence, This line is the horizontal line, parallel to the x axis passing through the point (0, b).

Thus, The line y = c is horizontal line, parallel to the x axis passing through the point (0, c).

Learn more about the equation of line visit:

https://brainly.com/question/18831322

#SPJ1

Possible options:

uppercase letter: 26

lowercase letter: 26

number: 10

upper or lowercase letter: 50

Note: I'm interpreting the "no upper or lower case letters can be repeated in the sequence" to mean you could have Aa0b, where A is used as the uppercase and a is used as the lower case letter, but then you can't use A or a for the last character.

26 · 26 · 10 · 50 = 338,000 combinations

Now is using "A" and "a" isn't allowed, then you have:

Possible options:

uppercase letter: 26

lowercase letter: 25

number: 10

upper or lowercase letter: 48

26 · 25 · 10 · 48 = 312,000 combinations

The value of t that satisfies the condition of the average rate of change of f(t) from 0 to t being equal to 10 can be found by setting up an equation and solving for t.

To find the average rate of change, we need to calculate the difference in the function values f(t) at t and 0, and divide it by the difference in the corresponding t-values. The equation can be set up as follows:

( f(t) - f(0) ) / ( t - 0 ) = 10

Substituting the given function f(t) = t^2 + 7t + 2, we have:

( t^2 + 7t + 2 - f(0) ) / t = 10

Simplifying the equation further, we get:

( t^2 + 7t + 2 - 2 ) / t = 10

( t^2 + 7t ) / t = 10

Now, we can solve this equation to find the value of t. By simplifying and rearranging terms, we get:

t + 7 = 10

t = 3

Therefore, the value of t that satisfies the given condition is t = 3.

Learn more about function here: brainly.com/question/30660139

#SPJ11

In a large population, 64 % of the people have been vaccinated. If 5 people are randomly selected, then the probability that AT LEAST ONE of them has been vaccinated is 99.78% or 0.9978.

The probability that at least one person is vaccinated among a sample of five people selected randomly from a population in which 64% have been vaccinated is the complement of the probability that none of the five selected have been vaccinated. The probability of at least one vaccinated person is:

Probability of at least one vaccinated person = 1 - Probability that none of the selected have been vaccinated.

To find this probability, you first need to find the probability that none of the five selected have been vaccinated.

Probability of selecting one person who is not vaccinated = 1 - 0.64 = 0.36

Probability of selecting five persons who are not vaccinated = 0.36 × 0.36 × 0.36 × 0.36 × 0.36= 0.0022

So, the probability of at least one vaccinated person in the sample of five is:

Probability of at least one vaccinated person = 1 - Probability that none of the selected have been vaccinated

                                                                           = 1 - 0.0022

                                                                           = 0.9978

Therefore, the probability that at least one person is vaccinated among a sample of five people selected randomly from a population in which 64% have been vaccinated is 0.9978.

To learn more about probability: https://brainly.com/question/13604758

#SPJ11

Answer:

sorry man i need free answers, good luck doe

Step-by-step explanation:

Answer:

39/4 or 9 3/4

Step-by-step explanation:

27/2 - 15/4

2 times 2 = 4 so 2 times 27=54

54/4 - 15/4 =39/4

To conduct a field study by observing shopper behavior in the store.

The researcher can track the number of customers who turn left upon entering the store and the number of customers who turn right, as well as the number of customers who go straight ahead. This information can be recorded manually or using a mobile device.

Additionally, the researcher can track which aisles are most frequently visited by placing tracking devices in each aisle or using cameras to capture foot traffic patterns. This information can then be analyzed to identify the most popular aisles and understand the flow of foot traffic within the store.

It's important to consider that the researcher should also consider other factors that may influence shopper behavior, such as promotions, store layout, and signage. To obtain a comprehensive understanding of shopper patterns, the researcher may also consider conducting surveys or interviews with customers to gather additional insights.

Learn more about field study here:https://brainly.com/question/17242319

#SPJ4

Answer:

it’s D

Have a Nice Best Day : )

The pooled variance for the two samples is (8n - 8) / (n - 1)

How we can get the pooled variance for the two samples?

To calculate the pooled variance for two samples, we need to combine the variances of both samples. The formula for pooled variance is:

where s_p^2 is the pooled variance, s_1^2 is the variance of the first sample, s_2^2 is the variance of the second sample, n_1 is the sample size of the first sample, and n_2 is the sample size of the second sample.

Plugging in the given values, we get:

where n is the sample size for both samples.

Simplifying this equation, we get:

To simplify the expression further, we can divide both the numerator and denominator by 2:

Learn more about Pooled Variance

brainly.com/question/15445017

#SPJ11

\(\large{\underline {\underline {\frak {SolutioN:-}}}}\)

➝ -4 × (-2) [2 × (-6)+ 3×(2×6-4-4) ]

➝ -4 × (-2) [2 × (-6) + 3 × (12-4-4) ]

➝ -4 × (-2) [2 × (-6) + 3 × (12-8) ]

➝ -4 × (-2) [2 × (-6) + 3 × (4) ]

➝ -4 × (-2) [2 × (-6) + 12 ]

➝ -4 × (-2) [(-12) + 12 ]

➝ -4 × (-2) [0]

➝ -4 × 0

➝ 0

Answer:

-4*-2

Step-by-step explanation:

the multiple of both side is 4*2*,26+*32*--=6 44

Answer:

m= 70

s= 40

a= 110

d= 40

Step-by-step explanation:

Angle M is equal to 70 because it is an isoleases triangle.

The 3 sides of a triangle is equal yo 180. So if angle m is 70, then 70+70 is 140. 180-140 is 40. This makes angle s= 40.

Now we have to find angle a. Angle a and 70 make a straight line. So the line is 180. 180-70 is 110. Angle a is equal to 110.

Now we have to find angle d. As I said before All the angles of a triangle equal to 180. 30+110= 140 now 180 - 140= 40. This makes angle d= 40.

FALSE. The number of degrees of freedom in cross-tabulation data is calculated by subtracting 1 from the product of the number of rows and columns.

Therefore, in this case, the number of degrees of freedom would be (3-1) x (4-1) = 6.

Degrees of freedom refer to the number of independent pieces of information in a data set, which can be used to calculate statistical significance and test hypotheses.

In cross-tabulation, degrees of freedom indicate the number of cells in the contingency table that are not predetermined by the row and column totals.

To learn more about : cross-tabulation

https://brainly.com/question/13513919

#SPJ8

The volume of the right prism with a base area of 10 square feet and a height of 6 feet is 60 cubic feet.

A prism is a polyhedron that has a base and a top face that are the same in size and shape, with sides connecting them that are rectangles in a right prism.

A right prism is a prism in which all of the side faces are perpendicular to the base.

Therefore, the height of the right prism is perpendicular to the base as well.

A right prism has a volume equal to the product of the base area and the height.

This formula can be represented as:

V = Bh

Here, B represents the area of the base, and h represents the height.

The volume of the right prism can be found by multiplying the area of the base by the height of the prism, according to the formula:

V = Bh.

In this problem, the area of the base of the prism is given to be 10 square feet.

The height of the prism is 6 feet.

We can simply substitute these values into the formula to obtain the volume of the right prism as follows:

V = BhV

   = 10 × 6V

   = 60

Therefore, the volume of the right prism is 60 cubic feet.

For such more questions on volume

https://brainly.com/question/28795033

#SPJ8

The unit tangent vector, unit normal vector, and the binormal vector of r(t) = sin(2t)i 3tj 2 sin2(t) k can be obtained using the formulae:T(t) = r'(t) / ||r'(t)||N(t) = T'(t) / ||T'(t)||B(t) = T(t) x N(t) where r(t) is the position vector at time t, ||r'(t)|| is the magnitude of the derivative of r(t) with respect to time, i.e. the speed, and x denotes the cross product of two vectors.

Given r(t) = sin(2t)i + 3tj + 2 sin2(t) k

The derivative of r(t) is given by r'(t) = 2 cos(2t) i + 3 j + 4 sin(t) cos(t) k

The magnitude of the derivative of r(t) with respect to time is ||r'(t)|| = √(4cos2(2t) + 9 + 16sin2(t)cos2(t))

= √(13 + 3cos(4t))

Thus,T(t) = r'(t) / ||r'(t)||= [2 cos(2t) i + 3 j + 4 sin(t) cos(t) k] / √(13 + 3cos(4t))

N(t) = T'(t) / ||T'(t)|| where T'(t) is the derivative of T(t) with respect to time.

We obtain T'(t) = [-4 sin(2t) i + 4 sin(t)cos(t) k (13 + 3cos(4t))3/2 - (2cos(2t)) (-12 sin(4t)) / (2(13 + 3cos(4t))]j (13 + 3cos(4t))3/2

= [-4 sin(2t) i + 12cos(t)k] / √(13 + 3cos(4t))

Thus,N(t) = T'(t) / ||T'(t)||= [-4 sin(2t) i + 12cos(t)k] / √(16sin2(t) + 144cos2(t))

= [-sin(2t) i + 3 cos(t) k] / 2B(t) = T(t) x N(t)

= [2 cos(2t) i + 3 j + 4 sin(t) cos(t) k] x [-sin(2t) i + 3 cos(t) k] / 2

= [3 cos(t)sin(2t) i + (6 cos2(t) - 2 cos(2t)) j + 3 sin(t)sin(2t) k] / 2

Therefore, the unit tangent vector, unit normal vector, and the binormal vector of r(t) = sin(2t)i + 3tj + 2 sin2(t) k are:

T(t) = [2 cos(2t) i + 3 j + 4 sin(t) cos(t) k] / √(13 + 3cos(4t))N(t)

= [-sin(2t) i + 3 cos(t) k] / 2B(t) = [3 cos(t)sin(2t) i + (6 cos2(t) - 2 cos(2t)) j + 3 sin(t)sin(2t) k] / 2

To know more about unit tangent visit :-

https://brainly.com/question/28335016

#SPJ11

Answer:

No

Step-by-step explanation:

They are similar

Answer:

Congruent triangles Two or more triangles that have the same size and shape are called congruent triangles. The four triangles are congruent with each other regardless whether they are rotated or flipped. The congruence of two objects is often represented using the symbol

Step-by-step explanation:

Answer:

18:12

simplified 3:2

this is the answer to your problem

The ration between boys and girls are -  18:12

when simplified-  3:2

Answer:

1/2

Step-by-step explanation:

The slope of a line is defined as the change in y-value divided by the change in x-value between two points on the line. To find the slope of the line joining (1, 4) and (-3, 2), we can use the formula:

slope = (y2 - y1) / (x2 - x1)

Plugging in the coordinates of the two points, we get:

slope = (2 - 4) / (-3 - 1)

slope = -2 / -4

slope = 1/2

So the slope of the line joining (1, 4) and (-3, 2) is 1/2.

Answer:

1/2

Step-by-step explanation:

Step-by-step explanation:

I don't understand what u mean

Answer:

y = -5/2x - 10

Step-by-step explanation:

You plug in the slope for m, so you have y = -5/2x + b.

You then plug in the x and y values from the given point to isolate b.

(5) = (-5/2)(-6) + b

5 = 15 + b

b = -10

Plug b into the initial equation, and you have your slope intercept form.

y = -5/2x - 10

Hope this helped!

The remainder when x³ - 1 is divided by (x + 3) is  -28

The functions are given as

x 3 1 is divided by x 3

Rewrite them as

f(x) = x³ - 1 is divided by (x + 3)

Set the divisor to 0

So, we have

x + 3 = 0

Determine the value of x

This gives

x = -3

By the remainder theorem

Substitute x = -3 in the function f(x)

So, we have

f(-3) = (-3)³ - 1

Evaluate the expression

f(-3) = -28

By the remainder theorem, this represents the remainder

Read more about remainder at

brainly.com/question/14130807

#SPJ1