If f is continuous and (0.10) ∫ f(x) dx = 16, evaluate (0.2) ∫ f(5x) dx .

In this case, we'll have to carry out several steps to find the solution.

Step 01:

data:

triangle:

sides:

a = 14 cm

b = 9 cm

c = 6 cm

Step 02:

law of cosines:

B = arc cos 0.8988

B = 25.99

The answer is:

B = 26°

The forecasts for periods 11 through 15 are: F11 = 297.4, F12 = 296.7, F13 = 297.1, F14 = 296.9, F15 = 297.0

Given: Smoothing constant α = 0.45, Forecast for period 10 = 297

We need to calculate the forecasts for periods 11 through 15 using the essential smoothing forecast method.

The essential smoothing forecast is given by:Ft+1 = αAt + (1 - α)

Ft

Where,

At is the actual value for period t, and Ft is the forecasted value for period t.

We have the forecast for period 10, so we can start by calculating the forecast for period 11:F11 = 0.45(297) + (1 - 0.45)F10 = 162.35 + 0.45F10

F11 = 162.35 + 0.45(297) = 297.4

For period 12:F12 = 0.45(At) + (1 - 0.45)F11F12 = 0.45(297.4) + 0.55(297) = 296.7

For period 13:F13 = 0.45(At) + (1 - 0.45)F12F13 = 0.45(296.7) + 0.55(297.4) = 297.1

For period 14:F14 = 0.45(At) + (1 - 0.45)F13F14 = 0.45(297.1) + 0.55(296.7) = 296.9

For period 15:F15 = 0.45(At) + (1 - 0.45)F14F15 = 0.45(296.9) + 0.55(297.1) = 297.0

Therefore, the forecasts for periods 11 through 15 are: F11 = 297.4, F12 = 296.7, F13 = 297.1, F14 = 296.9, F15 = 297.0 (All values rounded to two decimal places)

Know more about Smoothing constant:

https://brainly.com/question/32292658

#SPJ11

Answer:5.97

Step-by-step explanation.  

you have to look at the question.

you have to look around the question

The very last step is you have to answer it  

Therefore, the annual annuity payment can be approximately $6,069,727.

To calculate the size of the annual annuity payment, we can use the present value formula for an ordinary annuity. The formula is given by:

PMT = PV / [(1 - (1 + r)⁻ⁿ) / r]

Where:

PMT = Annual annuity payment

PV = Present value of the annuity

r = Annual interest rate

n = Number of periods

Given:

PV = $230 million

r = 8% = 0.08

n = 40 years

Using the formula, we can calculate the annual annuity payment:

PMT = 230,000,000 / [(1 - (1 + 0.08)⁻⁴⁰) / 0.08]

PMT ≈ $6,069,727

To know more about annual annuity payment,

https://brainly.com/question/31981614

#SPJ11

-1

Step-by-step explanation:

..................

Answer:

A - monthly payment: $1,580.89

Step-by-step explanation:

175 + 129 + 283 =  587

2,250 - 587 = 1,663

1989.23 (More then she has left

1790.25 (More then she has left

1580.89 (less then she has left

A > monthly payment: $1,580.89

it displays the computed sum and product of the diagonal elements.

Here's a MATLAB code to find the sum and product of the diagonal elements of a given matrix `A`, as well as an example execution for `A = ones(5)`:

```matlab

% Define the matrix A

A = ones(5);

% Get the size of the matrix

[n, ~] = size(A);

% Initialize variables for sum and product

diagonal_sum = 0;

diagonal_product = 1;

% Calculate the sum and product of diagonal elements

for i = 1:n

   diagonal_sum = diagonal_sum + A(i, i);

   diagonal_product = diagonal_product * A(i, i);

end

% Display the results

disp("Sum of diagonal elements: " + diagonal_sum);

disp("Product of diagonal elements: " + diagonal_product);

```

Example execution for `A = ones(5)`:

```

Sum of diagonal elements: 5

Product of diagonal elements: 1

```

In this example, `A = ones(5)` creates a 5x5 matrix filled with ones. The code then iterates over the diagonal elements (i.e., elements where the row index equals the column index) and accumulates the sum and product. Finally, it displays the computed sum and product of the diagonal elements.

To know more about MATLAB related question visit:

https://brainly.com/question/30763780

#SPJ11

Answer:

Yoshi applied the rules of signed numbers incorrectly

Step-by-step explanation:

When you multiply 2 negatives, you get a positive.

The ratio of the numerical value of the area of an equilateral triangle of side length 8 units to the numerical value of its perimeter is  8/√3 .

What is equilateral triangle?

An equilateral triangle is a triangle with all three sides of equal length a, corresponding to what could also be known as a "regular" triangle.

Given : side = 8 units

The area of the equilateral triangle with a side of 8 units is given by :

The formula to find area of equilateral triangle is given by:

A = (√3/4)a2, where a is the length of side of equilateral triangle.

(1/2)* 8^2* [√3]/ 2  = 64√3

To find the perimeter of an equilateral triangle, its side length should be known. Since all the sides of an equilateral triangle are equal in length, the perimeter can be easily calculated with the length of one of its sides. This value can be substituted in the formula for the perimeter of an equilateral triangle, P = 3 × a; where 'a' is the side length of the triangle.

The perimeter is 3 * 8   =  24

So the ratio is:

64√3 / 24 =   [8√3] / 3 = 8/√3

Hence , the ratio of the numerical value of the area of an equilateral triangle of side length 8 units to the numerical value of its perimeter is  8/√3 .

Learn more about equilateral triangle at:

https://brainly.com/question/17264112

#SPJ1

Answer: The answer will be 19

Answer: 23 years old

Step-by-step explanation:

The rate of change of the area of the triangle is not constant and will depend on the angle between the ladder and the ground.

The area of the triangle formed by the ladder wall and ground is dependent on the angle between the ladder and the ground. The area of a triangle is equal to half the product of the length of the base and the corresponding height. Therefore, if the angle between the ladder and the ground changes, the corresponding height of the triangle will also change, resulting in a change of the area of the triangle. As the angle between the ladder and the ground changes, the rate of change of the area of the triangle will also change.

Learn more about the Area of Triangle: https://brainly.com/question/17335144

#SPJ4

-2/5

Step-by-step explanation:

(Im pretty sure although I haven't studied this in a long time. Absolute value is the opposite of a specified x value)

Answer:

B, you just multiply the exponents, also 3^2=9

Step-by-step explanation:

Answer:

When you have an exponent with an exponent, you multiply the two.

Our expression is

(3d^4)^2

So this means the expression simplified turns into 3d^8,

leaving you with answer D

Answer:

1 1/3

Step-by-step explanation:

3 - 1 2/3

We need to borrow 1 in fraction form from the 3.

3 becomes 2 3/3

2 3/3 - 1 2/3

1 1/3

Answer:

1 1/3

Step-by-step explanation:

\(\sf 3\:-1\dfrac{2}{3}\)

First, write the fractions as improper fractions.

\(\sf 3\:-\dfrac{5}{3}\)

Now, make the denominators the same to subtract the fractions.

\(\sf \dfrac{3}{1}\:-\dfrac{5}{3}\\\\\sf \dfrac{3*3}{1*3}\:-\dfrac{5}{3}\\\\\sf \dfrac{9}{3}\:-\dfrac{5}{3}\\\\\dfrac{4}{3}\)

Now, write the answer as a mixed number.

To convert the improper fraction 4/3 into a mixed number, we divide the numerator (4) by the denominator (3):

4 ÷ 3 = 1 remainder 1

The quotient 1 becomes the whole number, and the remainder 1 becomes the numerator of the fractional part. The denominator remains the same.

Therefore, the mixed number representation of 4/3 is:

1 1/3

Answer:

OK I DON'T KNOW THE ANSWER FREE POINTS THOUGH

Step-by-step explanation:

step 1: convert to improper fraction

57/7 - 26/7

step 2: subtract numerators

31/7

step 3: change to a mixed number

4 3/7

Answer:

Ahmed sold (7/10) of a mango

Step-by-step explanation:

I don't know how one sells 3/10 or 2/5 of a mango, but he will have sold:

3/10 + 2/5

3/10 + (2/5)*(2/2)    [Convert the denominator in 2/5 to 10, so that we can add it to 3/10]

3/10 + (4/10)

(7/10)  Ahmed sold (7/10) of a mango

Answer:

3x

Step-by-step explanation:

because both terms are common 12 and 6 is 3 and x² and x is x

Answer:

You could use the formula

y^2 - y^1/ x^2 - x^1

2 - 1.6 / 5 - 4

=1.6 / 1

m= 1.6 or if you wanna put in a fraction it can be 8/5

Answer:

D is correct

Step-by-step explanation:

g(4) = -24. The given function is a piecewise function represented as g(x) = ((x^2 + 8)/(x - 5)) if x is not equal to 5, and g(x) = (x + 7) if x is equal to 5.

To evaluate the function at a specific value, let's consider g(4).

When x = 4, we need to determine which condition in the piecewise function applies. In this case, x is not equal to 5, so we can use the first part of the function:

g(4) = ((4^2 + 8)/(4 - 5))

= ((16 + 8)/(-1))

= (24)/(-1)

= -24

Therefore, g(4) = -24.

In summary, when x is equal to 4, the piecewise function evaluates to -24. It is important to note that for any other value of x except 5, the function will evaluate according to the first part ((x^2 + 8)/(x - 5)), while at x = 5, it will evaluate to (x + 7), which is 12. However, since we are evaluating g(4), the first condition applies, resulting in a value of -24.

learn more about piecewise function here

https://brainly.com/question/28225662

#SPJ11

Answer:

youd get 0.25 off and yes you would save 25 cents the difference would be 2.25 dollars instead of 2.50

Step-by-step explanation:

im so so sorry if im wrong so so sorry

Answer:

x=38 degrees

Step-by-step explanation:

Vertical angles are congruent. In the image, angle x is vertical to the angle that is given. Therefore, x=38 degrees

y= 40/39-47x/30

x=40/47-39y/47

Step-by-step explanation:

The general equation of any linear equation is y = mx + c where m is yhe gradient.

78y + 94x =80

78y = -94x + 80

y = -94y/78 + 80/78

y = -47y/39 + 40/39

Therefore the slope is -47/39

I solved all this in a hurry. I hope this helps

Answer:

2.537 x 10¹⁵ miles

Step-by-step explanation:

We are given the following:

1 light year = 5.9 x 10¹² miles

Distance of the star = 4.3 x 10² light years

To get this we just convert the distance of the star in light years into miles.

We cancel out the light years and then we are left with:

In dealing with scientific notation, when we multiply them we can treat the coefficients and exponents of 10 separately.

Coefficients:

4.3 x 5.9 = 25.37

Exponents of 10:

10² x 10¹² = 10⁽²⁺¹²⁾=10¹⁴

Then we combine them again to form a scientific notation:

25.37 x 10¹⁴

But since the standard in writing a scientific notation, the coefficient needs to be a number from 1-9, we need to move the decimal. When we move the decimal to the right or left, we change the exponent of the power of 10. Since we will move it once to the left, we add 1.

The answer will then be:

2.537 x 10¹⁵ miles

Hope I helped! If you really thought I did a great job answering this question please rate, thanks, and award brainliest.

Yours,

Fellow Brainiac

Answer:    318,600

Step-by-step explanation:

This is what I got hope it helped:)

Answer:

The sum of a negative and a negative is always a positive

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

B and C is an increased dilation, but A and D are not. A is a decreased dilation of more than half, but D is only by 10% and so it would be D.