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solniwko [45]
3 years ago
11

A climber is on a hike.after 2 hours he is at an altitude of 400 feet. After 6 hours, he is at an altitude of 700 feet. What is

the average rate of change?
Mathematics
1 answer:
aniked [119]3 years ago
8 0
75 ft


Hope that helps, Good luck! (:
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3x^2-5x-24<br> identify p and q
Novay_Z [31]
3x^2-5x-24=0

3x^2-5x=24

x^2-5x/3=8

x^2-5x/3+25/36=8+25/36

(x-5/6)^2=313/36

x-5/6=±√(313/36)

x=5/6±√(313/36)

x=(5±√313)/6

p=(5+√313)/6

q=(5-√313)/6
4 0
3 years ago
A company produces packages of granola and has changed its recipe. It claims that the proportion of almonds in how is the approp
vova2212 [387]

Answer:

The correct answer is

t = \frac{0.49-0.29}{\sqrt{\frac{(0.42)^2}{100} +}\frac{(0.29)^2}{100}  }

Step-by-step explanation:

To solve the question we note that the question involves a test statistic calculation given by

t = \frac{x_1-x_2}{\sqrt{\frac{s_1^2}{n_1} +}\frac{s_2^2}{n_2}  } Where

x₁ = Mean of sample 1

x₂ = Mean of sample 2

n₁ = Sample size of sample 1

n₂ = Sample size of sample 2

s₁ = Variance of sample 1

s₂ = Variance of sample 2

s₁ = ∑(x₁ - x₁')²/n₁,  s₂ = ∑(x₂ - x₂')²/n₂

The test statistic is a variable that is derived from a given data sample and is applied in hypothesis testing. The test statistic measures the available data against the expected value from the null hypothesis

With the given data, we have

t = \frac{0.49-0.29}{\sqrt{\frac{(0.42)^2}{100} +}\frac{(0.29)^2}{100}  }

4 0
3 years ago
I WILL GIVE BRAINLIEST!! PLEASE HURRY
crimeas [40]

Answer:

B. It rejects the concept of social class in the American system.

Explanation:

The Enlightenment of the American Colonies was a period in time where the people were encouraged to become their own nation. This period was represented by many speeches and pieces of writing that boasted freedom of speech, equality, freedom of the press, and religious tolerance.

This specific piece of writing focuses on the aspect of all people in the nation of America having protected freedoms and rights to become their own people.

5 0
3 years ago
The sum of two numbers is 66. Two times the smaller number is 15 more than the larger number. What are the numbers? First one wi
Viktor [21]

Answer:

Larger number (y) is 39

Smaller number (x) = 66 - 39 = 27.

Step-by-step explanation:

Let the smaller number be<em> x</em> and the larger number be <em>y</em>.

Sum of two numbers = 66

According to question,

<em>x </em>+<em> y</em> = 66

<em>x</em> = 66 - <em>y</em>.........(1)

Now, since twice of smaller number is 15  more than the larger number, According to question,

2(smaller number) = larger number + 15

2<em>x</em> = <em>y</em> + 15 .........(2)

Now substituting the value of y from (1) in (2)

2 (66 - <em>y</em>) = <em>y</em> + 15

132 - 2<em>y</em> =<em> y </em>+ 15

-2<em>y - y</em> = -132 + 15

3<em>y </em>= 117

<em>y</em> = 117/3 = 39

So the largest number (y) is 39

Smaller number (x) = 66 - 39 = 27.

8 0
4 years ago
How many radians does the minute hand of a clock rotate through over 10 minutes? How many degrees?
Leto [7]

Answer:

10 minutes =  1.047198 radians

10 minutes = 60 degree

Step-by-step explanation:

we know that

There is 60 minutes in an hour

so it is This is 2 Pi radians

so 10 minutes is  \frac{10}{60} or  \frac{1}{6} th of an hour

and here we know  the hand will travel  of the full circle

and we know A full circle measures 2 Pi radians

2 × pi radians = 360 degrees

10 minutes = \frac{1}{6} ×   2 × pi radians

10 minutes =  \frac{1}{3} × pi radians

10 minutes =  1.047198 radians

10 minutes = 60 degree

3 0
3 years ago
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