the sides of a triangle are of lengths 13, 14, and 15. the altitudes of the triangle meet at point h

x=(17,4)^2+(−340,−80)+58y= y^2−20y+68

y=y^2−20y+68

To find out how much the person would make if they work 54 hours, So, if the person worked 54 hours, they would make $1164.24. This answer is already rounded to 2 decimal places.

First, we'll calculate their hourly rate by dividing their total pay by the number of hours they work per week:
$539 ÷ 25 = $21.56. So the person's hourly rate is $21.56.

Now we can calculate their pay for working 54 hours:  $21.56 × 54 = $1,163.04

Rounding this to 2 decimal places gives us a final answer of $1,163.04.

First, we need to find the hourly rate of the person. To do this, we'll divide the weekly earnings by the number of hours worked in a week: $539 ÷ 25 hours = $21.56 per hour

Now, to find out how much the person would make if they worked 54 hours, we'll multiply their hourly rate by the new number of hours: $21.56 × 54 hours = $1164.24

So, if the person worked 54 hours, they would make $1164.24. This answer is already rounded to 2 decimal places.

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Therefore, the set of points that does not determine a spherical triangle is any set of three non-collinear points that do not lie on a great circle of the sphere.

Explanation: A spherical triangle is a triangle formed on the surface of a sphere by three great circle arcs intersecting pairwise to form three vertices. Any three points that do not lie on a great circle of the sphere will not determine a spherical triangle. Therefore, the set of points that does not determine a spherical triangle is any set of three non-collinear points that do not lie on a great circle of the sphere. Any set of three non-collinear points that do not lie on a great circle of the sphere does not determine a spherical triangle.

Therefore, the set of points that does not determine a spherical triangle is any set of three non-collinear points that do not lie on a great circle of the sphere.

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Answer:

176

Step-by-step explanation:

\(V=\frac{1}{3}\times 8 \times 6 \times 11=176 \:cm^3\)

The force F = r^2k(r^) is not conservative because its curl is nonzero. The force is central because it depends only on r and acts along the radial direction. Since it is not conservative, there is no potential energy function V(r) associated with this force

To determine whether the force F = r^2k(r^) is conservative and central, let's analyze its properties.

A force is conservative if it satisfies the condition ∇ × F = 0, where ∇ is the gradient operator. In Cartesian coordinates, the force can be written as F = Fx i + Fy j + Fz k, where Fx, Fy, and Fz are the components of the force in the x, y, and z directions, respectively. The curl of F is given by:

∇ × F = (∂Fz/∂y - ∂Fy/∂z)i + (∂Fx/∂z - ∂Fz/∂x)j + (∂Fy/∂x - ∂Fx/∂y)k.

Calculating the components of F = r^2k(r^):

Fx = 0, since there is no force component in the x-direction.

Fy = 0, since there is no force component in the y-direction.

Fz = r^2kr^.

Taking the partial derivatives, we have:

∂Fz/∂x = ∂/∂x (r^2kr^) = 2rkr^2(∂r/∂x) = 2rkr^2(x/r) = 2xkr^3.

∂Fz/∂y = ∂/∂y (r^2kr^) = 2rkr^2(∂r/∂y) = 2rkr^2(y/r) = 2ykr^3.

Substituting these values into the curl equation, we get:

∇ × F = (2ykr^3 - 2xkr^3)k = 2k(r^3y - r^3x).

Since the curl of F is not zero, ∇ × F ≠ 0, we conclude that the force F = r^2k(r^) is not conservative.

Now let's determine if the force is central. A force is central if it depends only on the distance from the origin (r) and acts along the radial direction (r^).

For F = r^2k(r^), the force is indeed central because it depends solely on r (the magnitude of the position vector) and acts along the radial direction r^. Hence, it can be written as F = Fr(r^), where Fr is a function of r.

Since the force is not conservative, it does not possess a potential energy function. In conservative forces, the potential energy function V(r) can be defined, and the force can be expressed as the negative gradient of the potential energy, i.e., F = -∇V. However, since F is not conservative, there is no potential energy function associated with it.

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A student's probability of having a sister are 1/2 or 0.5 if they do not have a brother.

Using the above data table, we must determine the likelihood that a student without a brother also has a sister. Analysing the table now

has a sibling: 5

possesses no sisters: 2

has an 18-year-old brother

possesses no brothers: 4

We are looking for the likelihood that a student has a sister and neither a brother (as indicated by the statement "Does not have a brother"). In this instance, there are two children who do not have a brother but do have a sister, making that number the number of positive outcomes.

No matter whether a student has a sister or not, the total number of outcomes is equal to the number of students who do not have a brother. According to the table, there are 4 students without brothers.

As a result, the likelihood that a student who doesn't have a brother will have a sister can be determined as follows:

Probability is calculated as the ratio of the number of favourable outcomes to all possible outcomes.

Probability equals 2/4

Probability equals 0.5 or half.

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The combined sales value of size 7 and size 8 shoes is $74250

Total sales by the shoe company = $750000

Percentage sales for size 8 shoes  = 2.4% of total sales

Calculating the value of size 8 shoes = Percentage sale* Total sale

= 2.4/100*750000

= $18000

Percentage sales for size 7 shoes = 7.5% of total sales

Calculating the value of size 7 shoes = Percentage sale*Total sale

= 7.5/100*750000 = $56250

Combined value of size 7 and size 8 shoes = Value of size 7 shoes + Value of size 8 shoes = 18000 + 56250 = $74250

Hence, the total value of both size 7 and size 8 shoes is $74250

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Step-by-step explanation: *First, decide which volume formula to use:     v = lwh

*Next, substitute in for what you do know (leave variable for unknown):  288 = 12 · w · 6

*Then simplify the side of the equation with the variable: 288 = 72 · w

*Now divide each side of the equation by 72 to solve for w:

288 ÷ 72 = w

4 in = w

Answer:

honestly i dont know :(

Step-by-step explanation:

Answer:

a: -5

k: 1/4

d: 3

c: 2

\(g(x) =2-\frac{5}{4(x-3)}\)

Step-by-step explanation:

Explanation is in Picture. Reflections across x-axis make a negative.

For b), look up 'Transformations of the 1/x function' and watch the video by Ragini Narasimhan. He explains it well

Answer:

48

Step-by-step explanation:

66*2=132

180-132=48

Hope this helps!

If not, I am sorry.

Answer:

The scale on the map is incorrect.

Step-by-step explanation:

Answer:

1. As x increases, y increases at the same rate. Meaning the amount between the x and y values stays the same.

2. Yes there is a proportional relationship between the x and y values because the x and y values increase at the same rate.

Answer:

x= 12

Step-by-step explanation:

Answer:

x = 0

Step-by-step explanation:

hi there!

im not sure if the x between the 2's is a x as in a variable or if it is multiplication sign. im going to solve the problem as if it is a multiplication sign but if that is wrong then please let me know!

2 * 2 + x - 4 = 0

is our equation that we are working with ^

first step is, following the pemdas we multiply *2 with its self

( ^ parentheses, exponents, multiplication/ division making sure to solve it left to right, addition and subtraction still making sure to follow the left to right rule )

2 * 2 + x - 4 = 0

2 * 2

= 4 + x - 4 + 0

then we add positive 4 and negative 4 together, canceling eachother out the giving us the answer of  x = 0

4 + x - 4 + 0

4 + - 4 = 0

x = 0

i hope this helps you! have a good rest of your day :)

PLEASE GIVE ME BRAINLIEST!

I hope this helps.  thank you and have a good day ;)

Answer:

{6,341}

Step-by-step explanation:

{-3,453+5,748} is the same as 5,748 - 3,453, which is equal to 2,295.{8,9703-12,749} is the same as 8,703 - 12,749, which is equal to -4,046.

{2,295} - {-4,046} = {6,341}

The false statement about evaluating expressions is: Fully simplify the expression first.

The order of operations is:

1. Parentheses

2. Exponents

3. Multiplication and Division (left to right)

4. Addition and Subtraction (left to right)

While simplifying an expression is an important step when evaluating it, it is not always necessary to fully simplify it before substituting numerical values. In fact, it can sometimes make the process more complex.

Instead, it is usually more efficient to follow the order of operations when evaluating expressions, which is a set of rules that defines the order in which operations are performed.

By following these rules, we can determine which operations to perform first and simplify the expression one step at a time. Then, we can substitute the numerical values for the variables and simplify the expression further to obtain the final result.

So, while fully simplifying an expression can be helpful in some cases, it is not always necessary when evaluating expressions, and following the order of operations is usually a more effective approach.

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Answer:

6

Step-by-step explanation:

6 x 6 =36

6 x 7 = 42

6 x 8 = 48

To implement the LP problem in a spreadsheet, we first need to set up the objective function and constraints in separate cells. Then, we can use Solver to solve the problem and create a Sensitivity Report.

The objective function is 4X2 + 2X2, which we enter in cell C1 as "=4B1+2B2". This means that the value of the objective function is determined by the values of X1 and X2, which are entered in cells A1 and B1, respectively.

The first constraint is 2X1 + 4X2 ≤ 20, which we enter in cell C2 as "=2A2+4B2<=20". This means that the sum of 2 times X1 and 4 times X2 cannot exceed 20.

The second constraint is 3X1 + 5X2 ≤ 15, which we enter in cell C3 as "=3A3+5B3<=15". This means that the sum of 3 times X1 and 5 times X2 cannot exceed 15.

We also need to add the non-negativity constraints X1, X2 ≥ 0 by setting the lower bounds of cells A1 and B1 to 0 in Solver.

To solve the LP problem using Solver, we select the "Max" objective and add the constraints as described above. We then run Solver and obtain the optimal solution X1 = 0, X2 = 2.5, and the optimal objective function value of 15.00.

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The area enclosed by the graphs of |x+y|=2 and |x|=1 is 4.

To find the area enclosed by these graphs, we need to first determine the points of intersection. Solving the equations |x+y|=2 and |x|=1 simultaneously, we get four points of intersection: (-1,1), (1,-1), (-1,-3), and (1,3).

Next, we need to determine the boundaries of the enclosed area. The graphs of |x+y|=2 and |x|=1 divide the plane into eight regions. We can determine which regions are enclosed by checking the signs of x and y in each region.

After determining the enclosed regions, we can compute the area of the enclosed shape by integrating the functions that define the graphs over the appropriate intervals. Using the formula for the area of a trapezoid, we can find that the enclosed area is 4.

Therefore, the answer is B. 4.

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To minimize the amount of tin used, the height of the can must be 4 inches (option D).

The volume of a cylindrical tin can is given by the formula V = πr²h, where V is the volume, r is the radius, and h is the height. To minimize the amount of tin used, we need to minimize the surface area, which is given by the formula A = 2πrh + 2πr².

Given the volume is 16π cubic inches, we have:

16π = πr²h

Now, we can find the relationship between r and h:

h = 16/r²

Now, substitute this into the surface area formula:

A = 2πr(16/r²) + 2πr²
A = 32π/r + 2πr²

To minimize the surface area, we can take the derivative with respect to r and set it to 0:

dA/dr = -32π/r² + 4πr

0 = -32π/r² + 4πr

Solving for r:

r³ = 8
r = 2 (since r > 0)

Now, substituting r back into the relationship between r and h:

h = 16/(2²)
h = 16/4
h = 4

Therefore, the height of the can must be 4 inches (option D) to minimize the amount of tin used.

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If the difference of 3 times a number(n) and 10 is 5 , then the number is n = 5  .

In the question ,

it is given that

the number is = n

and also the statement is given as  " the difference of 3 times of a number "n" and 10 is = 5 "

which means

3×n - 10 = 5    ...because times means × and difference means " - " .

3n - 10 = 5

on adding 10 to both sides of the equation and solving further ,

we get ,

3n = 5 + 10

3n = 15

n = 15/3

n = 5

Therefore , If the difference of 3 times a number(n) and 10 is 5 , then the number is n = 5  .

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Answer:

suuoow12738

x=ieio

y=inertia motion a+b =ab

Step-by-step explanation:

jsioopihhhjijhhhgîuûkjshdudidrjj

sueueiieheurjrjrjr

ejeieorororiirr

eieeirororiur

eududdudhr

dkdioeeueje

ejejdudiidhe

Answer:

welp guess its already due

Step-by-step explanation:

sorry

Answer:

5 + 8 x (6 + 5) = 93

Answer:

Step-by-step explanation:

a = -3 ; b = -6  ; c = -11

D = b² - 4ac

 = (-6)² - 4*(-3)*(-11)

 = 36 - 132

 = - 96

\(\sqrt{D}=\sqrt{-96}=\sqrt{96i^{2}} =9.8i\)

\(x =\dfrac{-b+\sqrt{D}}{2a} \ ; \ x =\dfrac{-6-\sqrt{D}}{2a}\\\\\\x=\dfrac{6+9.8i}{2*(-3)} \ ; \ x=\dfrac{6-9.8i}{2*(-3)}\\\\\\x=\dfrac{6}{-6}+\dfrac{9.8}{-6}i \ ; \ x=\dfrac{6}{-6}-\dfrac{9.8}{-6}i\\\\\\x=-1-\dfrac{4.9}{3}i \; \ x=-1+\dfrac{4.9}{3}i\)

Answer:

m and 100are co-interior angles

so;

m+100=180. (being sum of co-interior angles)

m=180-100

m=80

like wise;

n=100

Answer:

74.82

Step-by-step explanation:

48+38=86       86 X  0.87= 74.82

Answer:

v=20π ft/s

Step-by-step explanation:

Given:

Distance from the security car to the movie theater, D=25 ft

Distance of the reflection from the car, d=30 ft

Speed of rotation of the strobe lights, 2 rev/s

To find the speed at which the reflection of the security strobe lights is moving along the wall of the movie theater, we need to calculate the linear velocity of the reflection when it is 30 ft from the car.

We can start by finding the angular velocity in radians per second. Since the strobe lights rotate at 2 revolutions per second, we can convert this to radians per second.

ω=2πf

=> ω=2π(2)

=> ω=4π rad/s

The distance between the security car and the reflection on the wall of the theater is...

r=30-25= 5 ft

The speed of reflection is given as (this is the linear velocity)...

v=ωr

Plug our know values into the equation.

v=ωr

=> v=(4π)(5)

∴ v=20π ft/s

Thus, the problem is solved.

The speed of the reflection of the security strobe lights along the wall of the movie theater is 2π ft/s.

To solve this problem, we can use the concept of related rates. Let's consider the following variables:

x: Distance between the security car and the movie theater wall

y: Distance between the reflection of the security strobe lights and the security car

θ: Angle between the line connecting the security car and the movie theater wall and the line connecting the security car and the reflection of the strobe lights

We are given:

x = 25 ft (constant)

y = 30 ft (changing)

θ = 2 revolutions per second (constant)

We need to find the speed at which the reflection of the security strobe lights is moving along the wall (dy/dt) when the reflection is 30 ft from the car.

Since we have a right triangle formed by the security car, the movie theater wall, and the reflection of the strobe lights, we can use the Pythagorean theorem:

x^2 + y^2 = z^2

Differentiating both sides of the equation with respect to time (t), we get:

2x(dx/dt) + 2y(dy/dt) = 2z(dz/dt)

Since x is constant, dx/dt = 0. Also, dz/dt is the rate at which the angle θ is changing, which is given as 2 revolutions per second.

Plugging in the known values, we have:

2(25)(0) + 2(30)(dy/dt) = 2(30)(2π)

Simplifying the equation, we find:

60(dy/dt) = 120π

Dividing both sides by 60, we get:

dy/dt = 2π ft/s

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Answer:

-4 , -1

Step-by-step explanation:

( -4 is the X- axis [ the horizontal line] and 1 is the y-axis [the vertical line] ) move ur finger to -4 on the left and go up to 1. Now move ur finger down 2 times . ur finger will be on -4 which is the x- axis and -1 for the y - axis

Answer:

$0.22 per foot

Step-by-step explanation:

So for context, 1 yard is 3 feet. So 2 yards is 6 feet. With this, by dividing $1.32 by 6, you can get the price per foot:

1.32 / 6 ---> $0.22 per foot.