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dangina [55]
3 years ago
13

Define the variables for the situation. Then enter an equation.

Mathematics
1 answer:
stepan [7]3 years ago
4 0

Answer:

A= L + 5

Step-by-step explanation:

Andrews class is equal to Lauren's class and there are more 5 students

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A surveyor measures the angle of elevation to a point on a mountain, that is 6 miles away, to be 15 degrees. The vertical change
cricket20 [7]
You can draw a right triangle with the informatio.

The vertical change in elevation (unknown) is the opposed leg to the angle 15°

The distance from the surveyor to the point vertically below the point on the mountain is the adjacent leg = 6 miles.

Then tan(15°) = x / 6 => x = 6tan(15) = 1.61 miles

Answer: 1.61 miles
6 0
3 years ago
Read 2 more answers
At what values of x does f(x) = x^3 - 2x^2 -4x+1 satisfy the mean value theorwm on [0,1]
denis-greek [22]

Answer:

x=1/3

Step-by-step explanation:

A function f is given as

f(x) = x^3-2x^2-4x+1 in the interval  [0,1]

This function f being an algebraic polynomial is continuous in the interval [0,1] and also f is differntiable in the open interval (0,1)

Hence mean value theorem applies for f in the given interval

f(1) = 1-2-4+1 = -4\\f(0) = 1

The value

\frac{f(1)-f(0)}{1-0} =\frac{-4-1}{1} =-5

Find derivative for f

f'(x) = 3x^2-4x-4

Equate this to -5 to check mean value theorem

3x^2-4x-4=-5\\3x^2-4x+1=0\\\\(x-1)(3x-1) =0\\x= 1/3 : x = 1

We find that 1/3 lies inside the interval (0,1)

4 0
3 years ago
Jason sold half of his comic books and then bought 6 more. He now has 13. How many did he begin with?
tigry1 [53]

Answer:

He began with 14 please mark brainliest

Step-by-step explanation:

13-6 equals 7

7 times 2 equals 14

5 0
2 years ago
The safety inspector in a large city wants to estimate the proportion of buildings in the city that are in violation of fire cod
storchak [24]

Answer:

Check Explanation.

Step-by-step explanation:

The sample will be a representative of the entire build us in the city.

For a sample size 35, 3 have fire code violations, hence, the proportion of houses with fire code violations = (3/35) = 0.0857 = 8.57 %

The uncertainty in the estimate is given in the form of standard error.

Standard error = √[(p(1-p)/n]

n = sample size = 35, p = 0.0857, 1 - p = 0.9143

Standard error of the sample = √(0.0857×0.9143/35) = 0.1616

In terms of the population, (0.1616/35) = 0.00462

Proportion of buildings with fire code violations = (8.57 ± 0.462) %

8 0
3 years ago
A fish swims at 10 ft below sea level , and then swims another 10 ft deeper to avoid a shark. Write an addition expression that
sergij07 [2.7K]

Answer:

0+(-10+-10) i don't know if this is what you need..sry if it's not

Step-by-step explanation:

3 0
3 years ago
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