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AleksAgata [21]
3 years ago
11

Dante and Tania are both math tutors. The amount Dante charges for a session h hours long is represented by the function (h) =

Mathematics
1 answer:
Ksivusya [100]3 years ago
5 0

Answer:

D

Step-by-step explanation:

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Suppose a triangle has two sides of length 3and 4 and that the angle between these two sides is 60. What is the length of the th
tangare [24]

9514 1404 393

Answer:

  A.  √13

Step-by-step explanation:

You can make an educated guess and come to the right conclusion.

The triangle is nearly an equilateral triangle. A triangle with two sides 3 and an angle of 60° would have a third side of 3. A triangle with two sides of 4 and an angle of 60° would have a third side of 4.

So, the third side must be between 3 and 4. Here is an evaluation of the answer choices:

__

A -- between 3 and 4, the correct choice

B -- 3, too short

C -- 1.73, too short

D -- more than 4, too long

__

The question can be answered using your triangle solver app on your calculator, or using the Law of Cosines.

  c = √(a^2 +b^2 -2ab·cos(C))

  c = √(3^2 +4^2 -2·3·4·(1/2)) = √(9 +16 -12)

  c = √13 . . . . . length of the side opposite the 60° angle

5 0
3 years ago
jayce runs 2 1/2 miles on monday. Each day after that, he runs the same 1 1/3 mile route every morning. His goal is to run at le
PtichkaEL [24]

Answer:

Step-by-step explanation:

6 < 2 1/2 + 1 1/3R

3 0
2 years ago
Mr. Moore planted a tree in his backyard. His tree grew 3 1/3 feet over five years. if his tree grew at the same rate each year,
alina1380 [7]

Answer:

D. 2/3 per year.

Step-by-step explanation:

3 1

3

÷ 5

=  

10

3

÷ 5

=  

10

3

×  

1

5

=  

10 × 1

3 × 5

=  

10

15

=  

10 ÷ 5

15 ÷ 5

=  

2

3

4 0
3 years ago
If the population decreases with a constant rate of change and the decrease is 7% in the first year, what will the town's popula
yuradex [85]
What is the starting population? 
3 0
3 years ago
For simple linear regression, y = β0 + β1x + u, which one of the following statements is true?
RSB [31]

Answer:

Option a) u is called the "error term". It is the error we make in prediction

Option d) x is called the independent variable because x is independent from y and u.

Step-by-step explanation:

We are given the following information in the question:

y = \beta_0 + \beta_1x + u

where y is the dependent variable, x is the independent variable.

\beta_0: It is the value of y when x is zero, that is y-intercept.

\beta_1: It is the coefficient of x in predicting the dependent variable y.

u is the error term.

  • An error term represents the margin of error.
  • It refers to the sum of the deviations within the regression line, that is the difference between the predicted value and the observed value of y.

Thus, Option A) u is the error term and Option D)  x is called the independent variable because x is independent from y and u are the correct answer.

6 0
3 years ago
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