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2 years ago

Please help I do not know how to do this

Mathematics

2 answers:

DerKrebs [107]2 years ago

6 0

Answer:

m<b = 23

Step-by-step explanation:

Complementary angles have a sum of 90, so subtract 67 from 90 to get the measurement of the other angle.

stepan [7]2 years ago

3 0

Answer:

∠ b = 23°

Step-by-step explanation:

Complementary angles sum to 90° , then

a + b = 90° , that is

67° + b = 90° ( subtract 67° from both sides )

∠ b = 23°

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Baxter is thinking about buying a car. The table below shows the projected value of two different cars for three years.

saw5 [17]

Car 1: It is an exponential function that is given as P = 18,500 (0.9595)ⁿ and the price after 10 years is $12,235.5.

Car 2: It is a linear function that is given as 2000x + 3y = 55500 and the price after 10 years is $11,833.33.

And Yes, there is a significant difference.

<h3>What is a function?</h3>

A function is a statement, rule, or law that establishes the connection between two variables. In mathematics, functions are everywhere and are necessary for constructing physical connections.

Baxter is thinking about buying a car. The table below shows the projected value of two different cars for three years.

Car 1 (value in dollars)

Year 1: 18,500

Year 2: 17,390

Year 3: 16,346.60

Car 2 (value in dollars)

Year 1: 18,500

Year 2: 17,500

Year 3: 16,500

The exponential function describes car 1.

Then the function will be

$\rm P = 18500\times (0.95995)^n$

The linear function describes car 2.

$\rm y \ - \ 18500 = \dfrac{-2000}{3}(x - 0)\\\\\\3y - 55500 = -2000x\\\\\\2000x +3y = 55500$

Then the value of the car 1 after 10 years will be

$\rm P = 18500\times (0.95995)^{10}\\\\\\P = \$ \ 12,235.5$

Then the value of the car 2 after 10 years will be

$\rm 2000 \times 10 +3y = 55500\\\\y = \$ \ 11,833.33$

Yes, there is a significant difference.

More about the function link is given below.

brainly.com/question/5245372

#SPJ1

5 0

1 year ago

PRACTICE ANOTHER A piece of wire 18 m long is cut into two pieces. One piece is bent into a square and the other is bent into an

sergejj [24]

Answer:

Step-by-step explanation:

We have the equations

4x + 3y = 18 where x = the side of the square and y = the side of the triangle

For the areas:

A = x^2 + √3y/2* y/2

A = x^2 + √3y^2/4

From the first equation x = (18 - 3y)/4

So substituting in the area equation:

A = [ (18 - 3y)/4]^2 + √3y^2/4

A = (18 - 3y)^2 / 16 + √3y^2/4

Now for maximum / minimum area the derivative = 0 so we have

A' = 1/16 * 2(18 - 3y) * -3 + 1/4 * 2√3 y = 0

-3/8 (18 - 3y) + √3 y /2 = 0

-27/4 + 9y/8 + √3y /2 = 0

-54 + 9y + 4√3y = 0

y = 54 / 15.93

= 3.39 metres

So x = (18-3(3.39) / 4 = 1.96.

This is a minimum value for x.

So the total length of wire the square for minimum total area is 4 * 1.96

= 7.84 m

There is no maximum area as the equation for the total area is a quadratic with a positive leading coefficient.

3 0

2 years ago

Find the equation of the line passing through the points A (2,1) B (7,9)

Bezzdna [24]

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}} = \frac{9 - 1}{7 - 2} = \frac{8}{5} = 1\frac{3}{5}$
      y - y₁ = m(x - x₁)
       y - 1 = 1³/₅(x - 2) Point - Slope Form
       y - 1 = 1³/₅(x) - 1³/₅(2)
       y - 1 = 1³/₅x - 3¹/₅
       + 1    + 1
              y = 1³/₅x - 2¹/₅ Slope - Intercept Form
   -1³/₅x - y = 1³/₅x - 1³/₅x - 2¹/₅
      -1³/₅x - y = -2¹/₅
   -1(-1³/₅x - y) = -1(-2¹/₅)
-1(-1³/₅x) + 1(y) = 2¹/₅
   1³/₅x - y = 2¹/₅ Standard Form
       1³/₅(0) - y = 2¹/₅
      0 - y = 2¹/₅
      -y = 2¹/₅
      -1    -1
   y = -2¹/₅ Y - Intercept
   (x, y) = (0, -2¹/₅)

7 0

3 years ago

Determine whether the improper integral converges or diverges, and find the value of each that converges.

Rus_ich [418]

Answer:

Diverges

Step-by-step explanation:

We can solve this by using integral by parts:

Let

$u=lnx$ $dv=(1/x)dx$