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3 years ago

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Mathematics

1 answer:

goldenfox [79]3 years ago

7 0

Answer:

Encourage po

Step-by-step explanation:

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A hot air balloon in flight begins to ascend at a steady rate of 120 feet per minute. After 1.5 minutes, the balloon is at an al

azamat

Answer:

The balloon will not reach 2,500 feet after 4 minutes.

Step-by-step explanation:

The equation of the line in the point-slope form is

$y-y_1=m(x-x_1)$

A hot air balloon in flight begins to ascend at a steady rate of 120 feet per minute, then the slope is

$m=120$

After $x_1=1.5$ minutes, the balloon is at an altitude of $y_1=2,150$ feet. This means, the line passes through the point (1.5, 2,150).

Substitute the slope and point coordinates into the equation:

$y-2,150=120(x-1.5)$

We know that after 3 minutes, the balloon is at an altitude of 2,330 feet. Check this:

$2,330-2,150=180\\ \\120(3-1.5)=120\cdot 1.5=180\\ \\2,330-2,150=120(3-1.5)$

Now, find the height after 4 minutes:

$y-2,150=120(4-1.5)\\ \\y=120\cdot 2.5+2,150=300+2,150=2,450$

Thus, the balloon will reach only 2,450 feet after 4 minutes.

4 0

3 years ago

The graph of the function f(x) = (x +2)(x + 6) is shown below.

lutik1710 [3]

D. The domain is all real numbers greater than or equal to -4, and the range is all real numbers such that -6

7 0

3 years ago

PLEASE I NEED THIS DONE BECAUSE IVE BEEN WORKING ON THIS ALL DAY! AND IT IS MY LAST QUESTION!

GarryVolchara [31]

Y<3x-3 = 17÷398 because it will help you fond the answer. for example. 398 is the answer because. it was around for a few thousand years ago do have fun kiddo

8 0

3 years ago

Solve for w 6w + 4w - 9 + 6 = 9w - 7+ 6

Dmitry_Shevchenko [17]

Answer:

w = 2

Step-by-step explanation:

6w + 4w - 9 + 6 = 9w - 7+ 6

6w + 4w - 9w = - 7 + 6 + 9 - 6

w = 2

4 0

3 years ago

For a biology project, you measure the weight in grams and the tail length in millimeters of a group of mice. The correlation is

olga nikolaevna [1]

Answer:

Step-by-step explanation:

Given that for a biology project, you measure the weight in grams and the tail length in millimeters of a group of mice.

The correlation is r = 0.9

If you had measured tail length in centimeters instead of millimeters, what would be the correlation?

For this we must understand the meaning of correlation and formula

Correlation is a measure of linear association between the two variables and always lie between -1 and 1

This is got by dividing covariance of (x,y) by product of std deviation of x and y

So because we changed the units of length correlation coefficient would not change.

It would remain the same as 0.90

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3 years ago

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