An attorney charges a fixed fee of $220 for an initial meeting. He charges
$125 for every hour worked on your case. Write an equation to represent
this and find the total amount he would charge for 32 hours of work on
your case.

The maximum rate of change of function f at the given point occurs in the direction of the gradient vector.

To find the maximum rate of change of a function f at a given point, we need to compute the gradient of the function and evaluate it at that point. The gradient represents the direction of steepest ascent, and its magnitude indicates the maximum rate of change.

By finding the partial derivatives of f with respect to each variable and evaluating them at the given point, we obtain the components of the gradient vector. The maximum rate of change occurs in the direction of this gradient vector. Without the specific function and point, it is not possible to determine the exact maximum rate of change or its direction.

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\(\textit{area of a sector of a circle}\\\\ A=\cfrac{\theta r^2}{2} ~~ \begin{cases} r=radius\\ \theta =\stackrel{radians}{angle}\\[-0.5em] \hrulefill\\ r=6\\ \theta =\frac{\pi }{6} \end{cases}\implies A=\cfrac{(\frac{\pi }{6})(6)^2}{2} \\\\\\ A=3\pi \implies A\approx 9.42~m^2\)

what is 1,773 divide by 3 be honest

Answer:

Step-by-step explanation:

Hope it helps:)

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Answer:

591

Step-by-step explanation:

Answer to How much is 773 divided by 3 using long division ?

Math answers to fraction 773 divided by 3 can be calculated as follows.

773/3 math problems division = 257.666666667. Therefore 257.666666667 to 2 decimal places= 257.67

773/3 divided by 2 » (773/3) ÷ 2 » 257.666666667 ÷ 2 = 128.833333333 . Check 773/3 long division below

The probability of landing on just green is 1 / 6.

What is Probability?

The measure of the likelihood of an event to occur is called Probability.

Given that;

The probability of landing on red on a certain spinner = 3/8

The probability of landing on either red or green = 13/24.

Now,

The probability of landing on just green = 13/ 24 - 3/8

                                                             = 13/24 - 9 / 24

                                                             = 4 / 24

                                                             = 1 / 6

Thus, The probability of landing on just green is 1 / 6.

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The bond would pay back its face value of $1000 at the end of the 10 years.

The face value of the bond is the amount the bond will be worth when it matures, and it is also known as the "par value" or the "principal amount."

In this case, the face value of the bond is $1000, so at the end of the 10 years, the bond will pay back $1000 in principal to the bondholder.

The coupon rate, which is 4% in this case, determines the amount of the annual interest payment that the bondholder will receive.

Therefore, regardless of the changes in interest rates, the bond will pay back its face value of $1000 at the end of the 10 years.

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Answer:

1. \( \theta = 61.9^\circ \)

2. \( x = 23.7~cm \)

Step-by-step explanation:

Problem 1.

Use the Law of Sines.

This is SSA.

\(\dfrac{a}{\sin A} = \dfrac{c}{\sin C}\)

\( \dfrac{31.2~cm}{\sin 51^\circ} = \dfrac{35.4~cm}{\sin \theta} \)

\( \sin \theta = \dfrac{35.4~cm \times \sin 51^\circ}{31.2~cm} \)

\( \sin \theta = 0.88176 \)

\( \theta = \sin^{-1} 0.88176 \)

\( \theta = 61.9^\circ \)

Problem 2.

m<A + m<B + m<C = 180°

m<A + 67° + 58° = 180°

m<A = 55°

Use the Law of Sines.

\(\dfrac{a}{\sin A} = \dfrac{c}{\sin C}\)

\(\dfrac{x}{\sin 55^\circ} = \dfrac{24.5}{\sin 58^\circ}\)

\(x = \dfrac{\sin 55^\circ \times 24.5}{\sin 58^\circ}\)

\( x = 23.7~cm \)

Answer:

3 cats

Step-by-step explanation:

You have 2 cats

You buy 1 more

You have 3 cats

Answer:

you have none you, Gurman have put an end to them with your ignorance.

Step-by-step explanation:

2 + 1=3 + Gurman = 0 cats

(i) Calculation of c: The given joint probability density function is fx, y(x,y) = c exp{-1/2(5x² + 2y² - 6ry)}.

The joint probability density function for bivariate normal distribution is given by

f(x,y) = 1/2π σ1 σ2 √1 - ρ²exp{-1/2(1 - ρ²) [(x-µ1)/σ1]² - 2ρ [(x-µ1)/σ1][(y-µ2)/σ2] + [(y-µ2)/σ2]²}

Comparing this equation with the given equation, we have µ1 = 0,

σ1² = 1/5,

µ2 = 0,

σ2² = 1/2, and

ρ = r/√10.

Putting these values in the above equation, we get, f(x,y) = c exp{-1/2[5x² + 2y² - (6r/√10)xy]}

Now, we can get the value of c by solving the integral of f(x,y) over the whole xy plane as follows∫∫f(x,y) dxdy

= 1∫∫c exp{-1/2[5x² + 2y² - (6r/√10)xy]} dxdy

= 1∫∫exp{-1/2[5x² + 2y² - (6r/√10)xy]} dxdy

= 1/c√(2π)2σ1σ2∫∫exp{-1/2[5x² + 2y² - (6r/√10)xy]} dxdy

= 1c

= 1/{2π(1/5)(1/2) √(1 - r²/10)}

= (5π)⁻¹⁄₂(1 - r²/10)⁻¹⁄₂

(ii) Calculation of varX, varY, cov(X,Y) and corr(X,Y): Now we have µ1 = 0,

σ1² = 1/5,

µ2 = 0,

σ2² = 1/2, and

ρ = r/√10, so,

var(X) = σ1² = 1/5

var(Y) = σ2² = 1/2

cov(X,Y) = ρ σ1 σ2

= r/√10correlation (X,Y)

= ρ

= r/√10

(iii) Calculation of distribution of Y given X = 2:

Given X = 2, we have a conditional probability density function as follows:

f(y|X = 2)

= f(X = 2,Y)/f(X = 2),

where f(X = 2,Y) is the joint probability density function for X = 2 and f(X = 2) is the marginal density function for X = 2. So, we have to first find the joint probability density function for X = 2,f(X = 2,Y)

= fx,y(2,y)

= c exp{-1/2[5(2)² + 2y² - (6r/√10)(2)y]}

= c exp{-1/2[20 + 2(y² - (6r/√10)y)]}

So,f(y|X = 2)

= {c exp{-1/2[20 + 2(y² - (6r/√10)y)]}}/{∫c exp{-1/2[20 + 2(y² - (6r/√10)y)]} dy},

where the integral of the above expression is taken over all possible values of y. We have the formula to calculate the conditional mean and variance for continuous distributions given as follows,

E(Y|X = 2) = µ2 + ρ σ2/σ1(X = 2 - µ1)

= (0) + (r/√10)(1/√(1/2/5))(2 - 0)

= r√2/5V(Y|X = 2)

= σ2² (1 - ρ²)

= (1/2)(1 - r²/10)

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Answer:

L = \(5 \frac{1}{6} cm = \frac{31}{6} \) cm

B = \(2 \frac{2}{7}cm = \frac{16}{7} \)cm

Area = \( \frac{31}{6} cm \times \frac{16}{7}cm = \frac{496}{42}cm^{2} \)

\(11 \frac{34}{42}cm^{2} \)

\( = 11\frac{17}{21}cm^{2} \)

Answer:

the answer is -109

Step-by-step explanation:

To factorize 4x2 + 9x - 13 completely, we will make use of splitting the middle term method. Let's start by multiplying the coefficient of the x2 term and the constant

term 4(-13) = -52. Our aim is to find two

numbers that multiply to give -52 and add up to 9. The numbers are +13 and

-4Therefore, 4x2 + 13x - 4x - 13 = ONow,

group the first two terms together and the last two terms together and factorize them out4x(x + 13/4) - 1(× + 13/4) = 0(x + 13/4)(4x - 1)

= OTherefore, the fully factorised form of 4x2 + 9x - 13 is (x + 13/4)(4x - 1).

Answer:

Step-by-step explanation:

Search hit up

Answer:

5·8·a+5·2=

40a+10

Step-by-step explanation:

Answer: -13 and 64

ghjfgkhkf

Answer:

The lowest score was -13, and the highest score was 73.

Explanation:

No explanation needed.

Answer:

Step-by-step explanation:

area formula is

π\(r^{2}\)

plug in values:

9π

which equals

28.2743339

or you can write 9π im not sure what your teacher prefers

circumference formula is

2πr

which equals

6π

or

18.8495559

Answer:

Figure ABC is congruent to figure A′B′C′.

Step-by-step explanation:

I just did the test and got it right

D - Figure ABC is congruent to figure A′B′C′.

Step-by-step explanation

took the test

Answer:

240 in

Step-by-step explanation:

hope this helps :)

Let x = the number of 5¢ fare increases

Let y = money the company gets

Equation: y = (360 - 20x) (0.50 + 0.05x)

Solve for x when y = 196

196 = 180 + 18x - 10x - x^2

x^2 - 8x + 16 = 0

Factor to solve for x

(x - 4)^2 = 0

x = 4

Remember what x means

Total fare = 0.50 + 0.05x = 0.50 + 0.20 = 0.70

Total fare = 70¢

$5.50 change

5.50+3.75+1.25+1.25+2.75=14.50

20-14.50=5.50

Answer:

≈ 5.51 hours

Equation: 4.25h + 10

The number of hours Amanda rented the bike is 5.5 hours.

The equation used to solve this problem is 33.38 = 10 + 4.25h.

The rent cost for the helmet is $10.

The rent cost for the bike per hour is $4.25.

We need to find the number of hours Amanda rented the bike as she paid $33.38 in total.

We also have to make an equation that would solve this problem.

Consider h = number of hours Amanda rented the bike.

The cost for renting the helmet = $10.

And rent cost for the bike per hour = $4.25.

Amanda's total cost = Helmet rent cost + bike rent cost

Since we do not know the number of hours the bike was rented we will denote bike rent cost  = $4.25 x h

We have,

$33.38 = $10 + $4.25 x h

33.38 = 10 + 4.25 x h

33.38 - 10 = 4.25 x h

23.38 = 4.25 x h

h = 23.38 / 4.25

h = 5.5011

Rounding to the nearest tenths we get,

h = 5.5 hours

The number of hours Amanda rented the bike is 5.5 hours.

The equation used to solve this problem is 33.38 = 10 + 4.25h.

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Answer:

the answer is the kingdom was peaceful and prosperous

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

36 miles each

Step-by-step explanation:

you divide 192 by 6 = 36

hope this helps

Mark brainliest please

Answer:

32 miles

Step-by-step explanation:

192 divided by 6 = 32.

Answer:Objective: Solve systems of equations with three variables using addition/elimination.

Solving systems of equations with 3 variables is very similar to how we solve systems with two variables. When we had two variables we reduced the system down

to one with only one variable (by substitution or addition). With three variables

we will reduce the system down to one with two variables (usually by addition),

which we can then solve by either addition or substitution.

To reduce from three variables down to two it is very important to keep the work

organized. We will use addition with two equations to eliminate one variable.

This new equation we will call (A). Then we will use a different pair of equations

and use addition to eliminate the same variable. This second new equation we

will call (B). Once we have done this we will have two equations (A) and (B)

with the same two variables that we can solve u

Step-by-step explanation:

sorry my answer was wrong

Answer:

\(\sqrt{13}\)  or  3.61

Step-by-step explanation:

Draw a right triangle and use the Pythagorean Theorem to find the hypotenuse, using the given points to find the length of the two sides.  See the attachment.

The integer variable "a" is congruent to 11 modulo 19. This means that "a" leaves a remainder of 11 when divided by 19.

In modular arithmetic, the modulo operator (mod) is used to find the remainder of a division operation. In this case, the equation "a = 11 (mod 19)" signifies that "a" is congruent to 11 modulo 19. It implies that when "a" is divided by 19, it leaves a remainder of 11. To illustrate this further, consider a few examples:

If "a" is 11, then 11 divided by 19 yields a remainder of 11, satisfying the congruence.

If "a" is 30, then 30 divided by 19 results in a quotient of 1 with a remainder of 11. Again, this satisfies the given congruence.

In general, "a" can be expressed as "a = 19k + 11," where "k" is any integer. This formula shows that any value of "a" that satisfies this equation will be congruent to 11 modulo 19.

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Answer:

police

Step-by-step explanation:

Answer:

$29.67 each

Step-by-step explanation:

6.75% of $72.50 = $4.90

72.50 + 4.90 = $77.40

15% of 77.40 = 11.61

77.40 + 11.61 = 89.01

89.01 divided by 3 = $29.67 each

Answer:

no

Step-by-step explanation:

using the converse of Pythagoras' identity

If the square of the longest side is equal to the sum of the squares of the other 2 sides then the triangle is right.

longest side = 12 , then 12² = 144

7² + 10² = 49 + 100 = 149

since 149 ≠ 144 then the triangle is not right

The solution is Option B , Option C , Option D.

The value of x from the triangle is x = 44°

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of side ∠A = 82°

The measure of side ∠B = 54°

The measure of side ∠C = x°

Now , for a triangle ,

∠A + ∠B + ∠C = 180°

Substituting the values in the equation , we get

82° + 54° + x° = 180°

On simplifying the equation , we get

136° + x° = 180°

Subtracting 136 on both sides of the equation , we get

x = 180° - 136°

x = 44°

Now , for a straight line , the angle in a straight line is 180°

So , x + y = 180°

Substituting the values in the equation , we get

44° + y = 180°

Subtracting 44° on both sides of the equation , we get

y = 136°

Now . the measure of z = measure of y ( alternate interior angles )

So , z = 136°

And , the measure of exterior angle of a triangle = sum of the opposite interior angle

Therefore , y = z = 136°

Hence , the measures of triangles are solved

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Therefore, when two lines begin parallel but later diverge, it implies that the geometry involved is non-Euclidean.

I understand that you would like an explanation related to parallel lines in geometry and the final answer should be concise, covering the main point in the last two lines.
In geometry, parallel lines are lines in a plane that never intersect or touch each other at any point. These lines always maintain the same distance from one another. However, if two lines start as parallel but later diverge, it indicates that they are no longer maintaining the same distance from each other. In such a case, the geometry under consideration is non-Euclidean.

Therefore, when two lines begin parallel but later diverge, it implies that the geometry involved is non-Euclidean.

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Answer:

\(15x^2+4y-4z^2\)

Step-by-step explanation:

Solve this question patiently.

See explanation in the attached picture.