<img src="https://tex.z-dn.net/?f=%5Clim_%7Bx%20%5Cto%20%2B%5Cinfty%7D%20%28%5Cfrac%7Bx%5E%7B2%7D-3x-1%20%7D%7Bx%5E%7B2%7D%20-4x

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2 years ago

%2B2%7D%20%29%5E%7B%5Cfrac%7Bx%7D%7B2%7D%20%7D" id="TexFormula1" title="\lim_{x \to +\infty} (\frac{x^{2}-3x-1 }{x^{2} -4x+2} )^{\frac{x}{2} }" alt="\lim_{x \to +\infty} (\frac{x^{2}-3x-1 }{x^{2} -4x+2} )^{\frac{x}{2} }" align="absmiddle" class="latex-formula">

Mathematics

2 answers:

Natalka [10]2 years ago

7 0

Step-by-step explanation:

I know but I m feeling bore

Effectus [21]2 years ago

6 0

I solved on my phone it was a easy question just used a calculator to write up the fraction and infinite etc

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An aeroplane at an altitude of 200m observes the angle of depression of opposite points on the two banks of a river to be 45 and

blagie [28]

Answer:

84.5 m

Step-by-step explanation:

It is often helpful to draw a diagram for word problems involving geometric relationships. One for this problem is shown below.

The mnemonic SOH CAH TOA reminds you of the relationship between sides of a right triangle:

Tan = Opposite/Adjacent

Here we're given angles of depression measured from the horizontal (as shown in the diagram), but it is more convenient to use angles measured from the vertical. In particular, ∠BAO is the complement of 60°, and its tangent is the ratio OB/OA:

tan(30°) = OB/OA

OB = (200 m)·tan(30°) ≈ 115.47 m . . . . . . multiply by OA, use OA=200 m

Likewise, we have ...

OC = (200 m)·tan(45°) = 200 m

Then the width of the river is the difference between these values:

BC = OC -OB = 200 m - 115.47 m = 84.53 m

4 0

3 years ago

Jimmy walked from his house, to school, then to the store, and finally back home. The distance from the school to the store

Blababa [14]

The distance from Jimmy's house to the school is 400 meters.

Step-by-step explanation:

Step 1; Assume that the distance between Jimmy's house and his school is x meters. So from the given data, we can form these

Distance from his house to the school = x,

Distance from his school to the store = Distance from his house to the school + 100 = x + 100,

Distance from the store to his house = Distance from his house to the school + 175 = x +175.

Step 2; It is given that the total distance Jimmy walked was 1,475 meters. Jimmy walked a total of three trips so,

x + x + 100 + x + 175 = 1,475,

3x + 275 = 1,475,

3x = 1,475 - 275 = 1,200,

x = 400.

So distance from Jimmy's house to school = 400 meters,

Distance from his school to the store = 400 + 100 = 500 meters,

Distance from the store to his house = 400 + 175 = 575 meters.

8 0

3 years ago

Michaela has 11/12 yard of orange fabric and 7/8 yard of green fabric. She uses 1/2 yard of each color for her sewing project. H

Ede4ka [16]

Answer:

19/24 yards

Step-by-step explanation:

The total Michaela started with was ...

11/12 + 7/8 = 22/24 + 21/24 = 43/24 . . . . yards

She used a total of 1 yard, so has ...

(43 -24)/24 = 19/24

yards remaining.

Michaela has 19/24 yards (or 28.5 inches) of fabric left over.

6 0

3 years ago

What is the value of q² - p² for q = 4 and p = 2?

valentina_108 [34]

Answer:

um so here it is. 12

Step-by-step explanation:

4 ×4 - 2×2 = 16-4=12

6 0

3 years ago

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Find an equation for this inverse.

kicyunya [14]

The easiest way to find the inverse of a function is to swap the x and y, meaning:

We have the function $f(x)=5x+1$ . Let's call our outputs "y", so we have $y=5x+1$ . To find the inverse, we're going to change the x and the y's position in the equation, so we have $x=5y+1$ . Then all we need to do is solve for y:
$x=5y+1$
$x-1=5y$
$\frac{x}{5}-\frac{1}{5}=y$
$f^{-1}(x)=y=\frac{x}{5}-\frac{1}{5}$

6 0

3 years ago

Read 2 more answers