Choose the two triangles that are similar

Answer:

$4800

Step-by-step explanation:

80000×.06=4800 6 percent is written as .06

Answer: 90° + 41° =131° 180°-131° =149°

X=5.5-6

Step-by-step explanation:

Step-by-step explanation:

i think it is the answer ...

The approximate change formula for a function z=f(x, y) at the point (a, b) in terms of differentials is given by Δz ≈ ∂z/∂x |(a, b) dx + ∂z/∂y |(a, b) dy

Function is equal to,

z=f(x, y)

In terms of differential the approximate change formula at (a, b) is,

Δz ≈ ∂z/∂x |(a, b) dx + ∂z/∂y |(a ,b) dy

where,

Δz is the approximate change in z

∂z/∂x is the partial derivative of z with respect to x

∂z/∂y is the partial derivative of z with respect to y

dx is the small change in x

dy is the small change in y

The vertical bars indicate that the partial derivatives are evaluated at the point (a, b).

This formula represents the total differential of z at the point (a, b).

Which is the linear approximation of the change in z due to small changes in x and y.

It is based on the assumption,

That the change in z is approximately proportional to the changes in x and y and is valid for small changes in x and y.

Learn more about function here

brainly.com/question/31406491

#SPJ4

Answer:

Its (5 , 1 )

Step-by-step explanation:

because it is

Answer:

(2,-2) because the x axis goes from right to left and the y axis goes up and down

Step-by-step explanation:

The length of the QR is 16 cm when PQR ~MNO

In the given question, it is given that two similar triangles as PQR ~MNO

Then, the corresponding sides will be in equal proportion to each other as follows

PQ / MN = PR / MO = QR / NO

We need to find the length of the side QR

As above relations are given,

\(\frac{PQ}{MN}\) = \(\frac{PR}{MO}\) = \(\frac{QR}{NO}\)

\(\frac{30}{10}\) = \(\frac{5x + 7}{x+5}\) = \(\frac{4x}{\frac{16}{3} }\)

Equating all the fractions, equal to each we'll find

\(\frac{5x + 7}{x+5}\) = \(\frac{30}{10}\)

5x + 7 = 3(x +5)

5x + 7 = 3x + 15

2x = 8

x = 4

We know that, the length of the QR = 4x cm = 4 x 4 cm = 16 cm

Therefore, the length of the QR is 16 cm when PQR ~MNO

To learn more about, similar triangles, here

https://brainly.com/question/25882965

#SPJ1

The thirty-fourth term of the arithmetic sequence is the thirty-second term plus the common difference, which is not equal to 0.

The thirty-fourth term of the arithmetic sequence is calculated by adding the common difference to the thirty-second term. The common difference is the amount by which each successive term increases or decreases. As the common difference is not equal to 0, the thirty-fourth term is not the same as the tenth or second terms. The second, tenth, and thirty-fourth terms form a geometric sequence, which means that the ratio between any two successive terms is always the same. This ratio is determined by the common difference of the arithmetic sequence, and the thirty-fourth term can be calculated by adding the common difference to the thirty-second term.

Learn more about arithmetic sequence here

https://brainly.com/question/29616017

#SPJ4

Answer:

43

Step-by-step explanation:

Substitute x = 3 into the expression, that is

5(3)² - 2 = 5(9) - 2 = 45 - 2 = 43

The inequality that represents the number d of dragonfly’s you must catch to earn a new high score, d> 1200.

Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.

Given:

To set a new record, you must score at least

= 36,480 – 34,280

= 2,200 points.

When you have earned 35,000-34,280 points, you need 720 more to qualify for the bonus.

Total = 36,000 points after obtaining 720 dragonflies.

Bonus points = 1000 points.

As, we need more than 480 additional dragonflies to surpass your previous best.

So, The total of all the dragonflies shows that more than 1200 are required.

Then, the inequality is d> 1200.

Learn more about Inequality here:

https://brainly.com/question/13964407

#SPJ9

Answer:

it is the furth 4

Step-by-step explanation:

4×4=16

Answer:

the fourth answer

Step-by-step explanation:

and how are u today

The estimated total cost of registering for the movie rental service and renting 125 movies would be $638. The actual total cost could be different depending on the value of "c".

To write the equation of the function, we need to identify the rate of change and the initial value of the function.

To find the initial value of the function, we need to look at the table and see what the total cost is when x=0 (i.e. before downloading any movies). From the table, we can see that the total cost is $8 when x=0. So the initial value of the function is $8.

Therefore, the equation of the function is:

y = cx + 8

To find the total cost of registering for the movie rental service and renting 125 movies, we need to substitute x=125 into the equation and add the one-time registration fee. Let's say the registration fee is $5.

So the total cost would be:

y = cx + 8 + 5
y = c(125) + 13
y = 125c + 13

We don't know what the value of "c" is, so we can't find the exact total cost. But we do know that the cost of downloading each movie is the same, so we can use the information in the table to estimate a possible value of "c".

From the table, we can see that the total cost is $33 when x=5. So we can use this information to find an estimate of "c":

y = cx + 8
33 = c(5) + 8
25 = 5c
c = 5

Now we can substitute this value of "c" into the equation to find an estimate of the total cost of renting 125 movies:

y = 125c + 13
y = 625 + 13
y = $638

So the estimated total cost of registering for the movie rental service and renting 125 movies would be $638. However, this is just an estimate based on the information in the table. The actual total cost could be different depending on the value of "c".

Learn more about cost

brainly.com/question/30045916

#SPJ11

Answer:

$1.50

Step-by-step explanation:

Answer:

1.48

Step-by-step explanation:

no step by step explanation

Using quadratic equations, it is found that the difference between the maximum heights is of 152 feet.

The height of a rocket after t seconds is given by:

\(v(t) = -16t^2 + v(0)t + h(0)\)

In which:

For Peter, we have that:

\(h(t) = -16t^2 + 64t + 80\)

Which is a quadratic equation with coefficients \(a = -16, b = 64, c = 80\)

Considering that a < 0, the maximum value is:

\(h_{MAX} = -\frac{\Delta}{4a} = -\frac{b^2 - 4ac}{4a}\)

Hence:

\(h_{MAX} = -\frac{64^2 - 4(-16)(80)}{4(-16)} = 144\)

For Sophia:

\(h_{MAX} = -\frac{128^2 - 4(-16)(40)}{4(-16)} = 296\)

296 - 144 = 152

The difference between the maximum heights is of 152 feet.

A similar problem is given at brainly.com/question/24713268

Answer:

Yes

Step-by-step explanation:

Yes because if you insert -39 for x and 42 for y then your equation is:

42 = -39 + 81

If you were to solve this equation it would be true.

Answer:

8 bags of cement

9 bags of sand

3 bags of stone

Step-by-step explanation:

Hope this helps :)

The height of the density curve between 0 and 4 is 0.25, or 1/4 and the graph of the density curve is illustrated below.

In this case, we are interested in a random number generator that produces numbers between 0 and 4. Let's call the random number generated by this generator Y. The density curve of Y is a way to visualize the probability distribution of Y.

The density curve of Y has constant height between 0 and 4 and height 0 elsewhere. This means that the curve is a rectangle with a width of 4 (the range of Y) and a height that is constant between 0 and 4.

To find the height of the density curve, we need to use the fact that the area under the curve must be equal to 1 (since Y must fall within the specified range). The area of a rectangle is given by its width times its height, so we can write:

1 = 4 x height

Solving for height, we get:

height = 1/4

To know more about density curve here

https://brainly.com/question/18345488

#SPJ4

The length sum and structural length index of both SCARA robots are equal even though their arm lengths are different.

Given prismatic link travel for both robots is 5 inches. The first robot has arm lengths of 3 inches and 1 inch. The second robot has equal arm lengths of 2 inches each. Compare the length sum and structural length index of two SCARA robots: First, calculate the length sum for each robot. Length sum for the first robot:

Length of the first arm = 3 inches

length of the second arm = 1 inch

Prismatic link travel = 5 inches

Length sum = length of first arm + length of second arm + prismatic link travel

Length sum = 3 + 1 + 5

Length sum = 9 inches

Length sum for the second robot: Length of the first arm = 2 inches

Length of the second arm = 2 inches

Prismatic link travel = 5 inches

Length sum = length of first arm + length of second arm + prismatic link

travel length sum = 2 + 2 + 5

Length sum = 9 inches, the length sum of both robots is equal.

Structural length index = (2 + 2) / 5Structural length index = 0.8

The structural length index of both robots is also equal.

Hence, the length sum and structural length index of both SCARA robots are equal even though their arm lengths are different.

To Know more about structural length visit:

brainly.com/question/4295920

#SPJ11

Answer:

a) f(x-1) = 2x^2-11x-1

b) x = -1.5 or 5

Step-by-step explanation:

a) To get f(x-1)

We proceed to substitute x-1 for x as follows

f(x-1) = 2(x-1)^2 -7(x-1) -10

f(x-1) = 2(x^2 - 2x + 1) -7(x-1)-10

f(x-1) = 2x^2 -4x + 2 -7x + 7-10

f(x-1) = 2x^2-11x-1

b) What we have to do here is substitute 5 for f(x) and solve for x

5 = 2x^2 -7x-10

2x^2 -7x -10-5 = 0

2x^2 - 7x - 15 = 0

2x^2 -10x + 3x -15 = 0

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

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

2x + 3 = 0 or x -5 = 0

2x = -3 or x = 5

x = -3/2 or x = 5

x = -1.5 or 5

The term used to denote a number raised to the power of three is cubed.

When a number is cubed, it is multiplied by itself three times. For example, 2 cubed (written as 2³) is equal to 2 x 2 x 2, which equals 8.

Cubing a number is a common mathematical operation that is used in a variety of applications, including geometry, physics, and engineering. It is also used in basic arithmetic, such as finding the volume of a cube.

Cubing a number is similar to squaring a number, which is when a number is raised to the power of two. However, cubing a number results in a much larger value than squaring the same number. For example, 2 squared (written as 2²) is equal to 2 x 2, which equals 4, while 2 cubed (written as 2³) is equal to 2 x 2 x 2, which equals 8.

In summary, the term used to denote a number raised to the power of three is "cubed". Cubing a number involves multiplying the number by itself three times, and is a common operation in various fields of mathematics and science.

Know more about power   here:

https://brainly.com/question/11569624

#SPJ11

Answer:

Jacob got 18 votes.

Hope this helps :)

Adjust the parameters as needed, such as the step size (h) and the final x-value (xn), and run the code to obtain the solution for y(x).

The resulting plot will show the solution curve.

To solve the given set of differential equations using the Runge-Kutta method in MATLAB, we need to convert the second-order differential equations into a system of first-order differential equations.

Let's define new variables:

y = y(x)

z = dz/dx

Now, we have the following system of first-order differential equations:

dy/dx = z (1)

dz/dx = -k/(2y) (2)

To apply the Runge-Kutta method, we need to discretize the domain of x. Let's assume a step size h for the discretization. We'll start at x = 0 and proceed until x = infinite.

The general formula for the fourth-order Runge-Kutta method is as follows:

k₁ = h f(xn, yn, zn)

k₂ = h f(xn + h/2, yn + k₁/2, zn + l₁/2)

k₃ = h f(xn + h/2, yn + k₂/2, zn + l₂/2)

k₄ = h f(xn + h, yn + k₃, zn + l₃)

yn+1 = yn + (k₁ + 2k₂ + 2k₃ + k₄)/6

zn+1 = zn + (l₁ + 2l₂ + 2l₃ + l₄)/6

where f(x, y, z) represents the right-hand side of equations (1) and (2).

We can now write the MATLAB code to solve the differential equations using the Runge-Kutta method:

function [x, y, z] = rungeKuttaMethod()

   % Parameters

   k = 1;              % Constant k

   h = 0.01;           % Step size

   x0 = 0;             % Initial x

   xn = 10;            % Final x (adjust as needed)

   n = (xn - x0) / h;  % Number of steps

   % Initialize arrays

   x = zeros(1, n+1);

   y = zeros(1, n+1);

   z = zeros(1, n+1);

   % Initial conditions

   x(1) = x0;

   y(1) = 0;

   z(1) = 0;

   % Runge-Kutta method

   for i = 1:n

       k1 = h * f(x(i), y(i), z(i));

       l1 = h * g(x(i), y(i));

       k2 = h * f(x(i) + h/2, y(i) + k1/2, z(i) + l1/2);

       l2 = h * g(x(i) + h/2, y(i) + k1/2);

       k3 = h * f(x(i) + h/2, y(i) + k2/2, z(i) + l2/2);

       l3 = h * g(x(i) + h/2, y(i) + k2/2);

       k4 = h * f(x(i) + h, y(i) + k3, z(i) + l3);

       l4 = h * g(x(i) + h, y(i) + k3);

       y(i+1) = y(i) + (k1 + 2*k2 + 2*k3 + k4) / 6;

       z(i+1) = z(i) + (l1 + 2*l2 + 2*l3 + l4) / 6;

       x(i+1) = x(i) + h;

   end

   % Plotting

   plot(x, y);

   xlabel('x');

   ylabel('y');

   title('Solution y(x)');

end

function dydx = f(x, y, z)

   dydx = z;

end

function dzdx = g(x, y)

   dzdx = -k / (2*y);

end

% Call the function to solve the differential equations

[x, y, z] = rungeKuttaMethod();

Learn more about differential equations click;

https://brainly.com/question/32645495

#SPJ4

Answer: $25

Step-by-step explanation: 25 times 3(because there are three people) =75 - 45(the amount they spent)=30 the amount they are left with all together.

it took me awhile to answer so sorry for the wait but i hope this helps.

To find the surface area of a refrigerator, square inches or square feet can be used.

The surface area of the cube is 150 square feet.

Volume of the box is 4500 cubic centimeters.

Package B has greater volume of 204 cubic inches greater .

Surface area of any object are measured in square units.

So square feet and square inches can be used.

Surface area of a cube = 6a², where a is the edge length.

Surface area = 6 (5)² = 150 square feet

Volume of the rectangular box = length × width × height

                                                   = 20 × 7.5 × 30

                                                   = 4500 centimeters³

Volume of package A = 10.5 × 4 × 8 = 336 cubic inches

Volume of package B = 18 × 12 × 2.5 = 540 cubic inches

Package B has greater volume.

It is greater by 540 - 336 = 204 cubic inches

Learn more about Surface Area and Volume here :

https://brainly.com/question/13789496

#SPJ1

Answer:

the first option is for sureee

Answer:

a) Slope of the line m = ∞

b) Slope of the line  m =0

Step-by-step explanation:

Explanation:-

Step(i):-

Given points are ( 7,7) and (7,-8)

Slope of the line

                     \(m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }\)

                    \(m = \frac{-8-7 }{7-7 } = \frac{-15}{0} = infinite\)

                  m = ∞

Step(ii):-

Given points are (-6,7) and (9,7)

Slope of the line

                     \(m = \frac{y_{2} - y_{1} }{x_{2}-x_{1} }\)

                    \(m = \frac{7-7 }{9-(-6) } = \frac{0}{15} = 0\)

Slope of the line  m =0

Step-by-step explanation:

\(f(x) = {x}^{4} + 4 {x}^{3} - 2 {x}^{2} + 11x - 6\)

\(f(3) = {3}^{4} + 4. {3}^{3} - 2. {3}^{2} + 11.3 - 6\)

\(f(3) = 81 + 4.27 - 2.9 + 33 - 6\)

\(f(3) = 81 + 108 - 18 + 33 - 6\)

\(f(3) = 198\)

Answer:

Step-by-step explanation:

x4 + 4x3 - 2x2 + 11x - 6 for x = 3

3^4 + 4 * 3^3 - 2 * 3^2 + 11 * 3 - 6 =

81 + 4 * 27 - 2 * 9 + 11 * 3 - 6 =

81 + 108 - 18 + 33 - 6 =

198

Answer:

>

Step-by-step explanation:

b is clearly negative

- - = +

so therefore, subtracting the negative will result in a larger answer than adding a small positive to a negative

Answer:

3 hours= 24

4 hours= 32

5 hours=40

6 hours=48

Step-by-step explanation: Because 8 *3=24 8*4=32 8*5=40 8*6=48