The center of circle P is at (-3, 8) and the radius is 12
units. Find its equation.

Answer:

t = 1

Step-by-step explanation:

t + 25 = 26

Subtract 25 from each side

t = 1

Answer:

[tex]f_x(x,y,z)=4\sin (y-z)[/tex]

[tex]f_x(x,y,z)=4x\cos (y-z)[/tex]

[tex]f_z(x,y,z)=-4x\cos (y-z)[/tex]

Step-by-step explanation:

The given function is

[tex]f(x,y,z)=4x\sin (y-z)[/tex]

We need to find first partial derivatives of the function.

Differentiate partially w.r.t. x and y, z are constants.

[tex]f_x(x,y,z)=4(1)\sin (y-z)[/tex]

[tex]f_x(x,y,z)=4\sin (y-z)[/tex]

Differentiate partially w.r.t. y and x, z are constants.

[tex]f_y(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial y}(y-z)[/tex]

[tex]f_y(x,y,z)=4x\cos (y-z)[/tex]

Differentiate partially w.r.t. z and x, y are constants.

[tex]f_z(x,y,z)=4x\cos (y-z)\dfrac{\partial}{\partial z}(y-z)[/tex]

[tex]f_z(x,y,z)=4x\cos (y-z)(-1)[/tex]

[tex]f_z(x,y,z)=-4x\cos (y-z)[/tex]

Therefore, the first partial derivatives of the function are [tex]f_x(x,y,z)=4\sin (y-z), f_x(x,y,z)=4x\cos (y-z)\text{ and }f_z(x,y,z)=-4x\cos (y-z)[/tex].

Answer:

5/6

Step-by-step explanation:

y+4-y+1=6y

5=6y

y=5/6

Solution for (y+4)-(y-1)=6y equation:

Simplifying

(y + 4) + -1(y + -1) = 6y

Reorder the terms:

(4 + y) + -1(y + -1) = 6y

Remove parenthesis around (4 + y)

4 + y + -1(y + -1) = 6y

Reorder the terms:

4 + y + -1(-1 + y) = 6y

4 + y + (-1 * -1 + y * -1) = 6y

4 + y + (1 + -1y) = 6y

Reorder the terms:

4 + 1 + y + -1y = 6y

Combine like terms: 4 + 1 = 5

5 + y + -1y = 6y

Combine like terms: y + -1y = 0

5 + 0 = 6y

5 = 6y

Add '-6y' to each side of the equation.

5 + -6y = 6y + -6y

Combine like terms: 6y + -6y = 0

5 + -6y = 0

Add '-5' to each side of the equation.

5 + -5 + -6y = 0 + -5

Combine like terms: 5 + -5 = 0

0 + -6y = 0 + -5

-6y = 0 + -5

Combine like terms: 0 + -5 = -5

-6y = -5

Divide each side by '-6'.

y = 0.8333333333

Simplifying

y = 0.8333333333

Answer:

Less than sign

Step-by-step explanation:

3/4 is greater than 3/5 because its 3 out of 4 making it 75% and 3/5 is 60%

Answer:

[tex]3.5[/tex]

Step-by-step explanation:

The value of [tex]|-3.5|[/tex] is [tex]3.5[/tex], because you have [tex]|-3.5|[/tex] and it will change to [tex]3.5[/tex] by the absolute value, which it turned from negative to a positive.

Answer:

x-40%-16%

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]\sqrt{1}[/tex] -2 / 6 = (1-2)/6= -1/6= .2 (rounded to tenth)

Answer:look it up on quizlet

Step-by-step explanation:

Answer:

A.) 24.08 seconds

B.) 825.42 metres

Step-by-step explanation:

function of time is given as

h ( t ) = − 4.9 t 2 + 118 t + 115 .

Where a = -4.9, b = 118, c = 115

Let's assume that the trajectory of the rocket is a perfect parabola.

The time t the rocket will reach its maximum height will be at the symmetry of the parabola.

t = -b/2a

Substitute b and a into the formula

t = -118/-2(4.9)

t = 118/9.8

t = 12.041 seconds

Since NASA launches the rocket at t = 0 seconds, the time it will splash down into the ocean will be 2t.

2t = 2 × 12.041 = 24.08 seconds

Therefore, the rocket splashes down after 24.08 seconds.

B.) At maximum height, time t = 12.041s

Substitute t for 12.041 in the function

h ( t ) = − 4.9 t 2 + 118 t + 115

h(t) = -4.9(12.041)^2 + 118(12.041) + 115

h(t) = -4.9(144.98) + 118(12.041) + 115

h(t) = -710.402 + 1420.82 + 115

h(t) = 825.42 metres

Therefore, the rocket get to the peak at 825.42 metres

Given:

The system of inequalities is

[tex]x\leq 5[/tex]

[tex]x\geq a[/tex]

To find:

The values of a for which the system has no solution.

Solution:

We have,

[tex]x\leq 5[/tex]        ...(1)

It means the value of x is less than or equal to 5.

[tex]x\geq a[/tex]        ...(2)

It means the value of x is greater than or equal to a

Using (1) and (2), we get

[tex]a\leq x\leq 5[/tex]

But if a is great than 5, then there is no value of which satisfies this inequality.

Therefore, the system has no solution for a>5.

Answer:

20g

since mass should be in kg or gram if small then g

Answer: 1/4

Step-by-step explanation:

Answer: 2/6

Step-by-step explanation:

Answer:

[tex]\frac{2}{6}[/tex]

Step-by-step explanation:

In order to create an equal ratio to [tex]\frac{1}{3}[/tex], we need to find a constant to multiply both the numerator and the denominator by.

Let's do 2.

[tex]1\cdot 2 = 2\\\\3\cdot 2 = 6\\\\[/tex]

So:

[tex]\frac{2}{6}[/tex]

Hope this helped!

Answer:

98%  Confidencce Interval is ( 3030.6, 7467.4 )

Step-by-step explanation:

Given that:

Sample size [tex]n_1 =[/tex] 71

Sample size [tex]n_2 =[/tex] 31

Sample mean [tex]\overline x_1 =[/tex] 41628

Sample mean [tex]x_2 =[/tex] 36,379

Population standard deviation [tex]\sigma_1[/tex] = 4934

Population standard deviation [tex]\sigma_2 =[/tex] 4180

At 98% confidence interval level, the level of significcance = 1 - 0.98 = 0.02

Critical value at [tex]z_{0.02/2} = 2.33[/tex]

The Margin of Error = [tex]z \times \sqrt{\dfrac{\sigma_1^2}{n_1}+\dfrac{\sigma^2_2}{n_2} }[/tex]

= [tex]2.33 \times \sqrt{\dfrac{4934^2}{71}+\dfrac{4180^2}{31} }[/tex]

= [tex]2.33 \times \sqrt{\dfrac{24344356}{71}+\dfrac{17472400}{31} }[/tex]

= [tex]2.33 \times \sqrt{906504.06 }[/tex]

= 2218.40

The Lower limit = [tex]( \overline x_1 - \overline x_2) - (Margin \ of \ error)[/tex]

= ( 41628 - 36379 ) - ( 2218.40)

= 5249 - 2218.40

= 3030.6

The upper limit = [tex]( \overline x_1 - \overline x_2) + (Margin \ of \ error)[/tex]

= ( 41628 - 36379 ) + ( 2218.40)

= 5249 + 2218.40

= 7467.4

∴  98%  Confidencce Interval is ( 3030.6, 7467.4 )

Answer:

KN = NM

Step-by-step explanation:

Given that:

In a triangle KNM

angle ∠ MKN = 25°

angle ∠ KNM = 130°

angle ∠ NMK = 25°

The objective is to determine what is true about the side of KNM.

The correct option is:

KN = NM

From the above, we will see that two angles are equal, which implies the triangle is likely to be an isosceles triangle. An isosceles triangle is a triangle that has two equal angles and sides.

Thus, the intersection of NK with KM is at an angle of 25°, so do NM and KM. We can thereby conclude that the two sides are equal in length provided that they possess the same angles and they intersect at the line at the same angle.

Answer: (A)

Step-by-step explanation: trust me!

Answer:

6

Step-by-step explanation:

got it right

Answer:

It would be 649

Step-by-step explanation:

118 ÷ 2= 59

59 x 11= 649

Answer:

649m

Step-by-step explanation:

[tex]\frac{118m}{2s} =\frac{59m}{s}[/tex]

so that 59m/s we multiply by 11s

[tex]\frac{59m}{s} (11s)=649m[/tex]

Answer:

5.1

Step-by-step explanation:

we have

5.1436

since 4 is less than five we cannot pass the 1 to 2

so it stays like

5.1

5x - (2x - 1) = 2

Distribute the - sign.

5x - 2x + 1 = 2

Combine like terms.

3x + 1 = 2

Subtract 1 from both sides.

3x = 1

Divide both sides by 3

x = 1/3 or 0.33

Answer:

super easy i can help you whenever

Step-by-step explanation:

im in high and i had As in 6th

Answer:

a little hard you just have to understand it

Step-by-step explanation:

Answer:

2 hotdogs for each person

Step-by-step explanation:

Answer:

Step-by-step explanation:

FG=7

Answer:

Step-by-step explanation:

Given the quadratic function  

As per given function:

Then

This time is approximately mid 2012.

Considering this in the function, to get oil import rate for the same time:

Rounded to two significant figures, the greatest oil import rate was:

Answer:

Step-by-step explanation:

f(x) = 3x - 1

To find f(-1) substitute the value of x that's

- 1 into f(x). That's for every x in f(x) replace it with - 1 and solve

That's

f( - 1) = 3(-1) - 1

= - 3 - 1

We have the final answer as

Hope this helps you

Using the intersecting secant theorem:

Angle xyz = 1/2( wz- XX)

Xyz = 1/2(175-105)

Xyz = 1/2(70)

Xyz= 35

The answer is 35 degrees

The measure of <XYZ is 35 degrees

To find the measure of<XYZ, we will use the expression as shown below:

The angle at the vertex is half the difference of the intercepted arcs

<XYZ = 1/2(175 - 105)

<XYZ = 1/2(70)
<XYZ = 35 degrees

Hence the measure of <XYZ is 35 degrees

Learn more on geometry here: https://brainly.com/question/24375372

Answer:

[tex]Average\ Speed = \frac{s(7) - s(2)}{5}[/tex]

Step-by-step explanation:

Given

t = 2 to 7

Required

Find the average speed over these intervals

The function is not given; so, I'll represent the function as s(t)

When [tex]t = 2;[/tex]

[tex]s(t)= s(2)[/tex]

When [tex]t = 7[/tex]

[tex]s(t) = s(7)[/tex]

[tex]Average\ Speed = \frac{Change\ in\ Distance}{Change\ in\ Time}[/tex]

This gives:

[tex]Average\ Speed = \frac{s(7) - s(2)}{7 - 2}[/tex]

[tex]Average\ Speed = \frac{s(7) - s(2)}{5}[/tex]

Answer:

wow dis might take a while to solve