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I am Lyosha [343]
3 years ago
14

An airplane is preparing to land at an airport. It is 42,000 feet above the ground and is descending at the rate of 3,300 feet p

er minute. At the same​ airport, another airplane is taking off and will ascend at the rate of 2,700 feet per minute. When will the two airplanes be at the same altitude and what will that altitude​ be?
Mathematics
1 answer:
Fudgin [204]3 years ago
3 0

Answer:

7 minutes

Step-by-step explanation:

From the question :

Descent = ascent

Initial height * descent rate = initial position * ascent rate

Plane on ground is at an initial position or height of 0

42000 - 3300t = 0 + 2700t

Where, t = time

-3300t - 2700t = 0 - 42000

-6000t = - 42000

t = 42000 / 6000

t = 7 minutes

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What is 122.10 rounded to the nearest whole number?
I am Lyosha [343]

Answer:

1

Round up if this number is greater than or equal to

5

and round down if it is less than

5

122

Hope I helped

6 0
2 years ago
Or the past 100 years, the average high temperature on october 1 is 78° with a standard deviation of 5°. what is the probability
valina [46]

Answer:

The probability is 0.683

Step-by-step explanation:

To calculate this, we shall be needing to calculate the z-scores of both temperatures

mathematically;

z-score = (x-mean)/SD

From the question mean = 78 and SD = 5

For 73

z-score = (73-78)/5 = -5/5 = -1

For 83

z-score = (83-78)/5 = 5/5 = 1

So the probability we want to calculate is within the following range of z-scores;

P(-1 <z <1 )

Mathematically, this is same as ;

P(z<1) - P(z<-1)

Using the normal distribution table;

P(-1<z<1) = 0.68269 which is approximately 0.683

3 0
3 years ago
Find the sum of the terms.
kow [346]

Answer:

C

Step-by-step explanation:

Given

\frac{x}{x^2+3x+2} + \frac{3}{x+1} ← factor the denominator of first fraction

= \frac{x}{(x+1)(x+2)} + \frac{3}{x+1}

Multiply the numerator/ denominator of second fraction by (x + 2)

= \frac{x}{(x+1)(x+2)} + \frac{3(x+2)}{(x+1)(x+2)}

The denominators are now common, so add the numerators leaving the denominator, that is

= \frac{x+3x+6}{(x+1)(x+2)}

= \frac{4x+6}{(x+1)(x+2)} → with numerator 4x + 6 → C

5 0
3 years ago
2) Which two statements are not true?
GalinKa [24]

Answer:

A repeating decimal is not a rational number and The product of two irrational numbers is always rational

Step-by-step explanation:

One statement that is not true is "The product of two irrational numbers is always rational". Take for example the irrational numbers √2 and √3. Their product is √6 which is also irrational.

The other false statement is "A repeating decimal is not a rational number". Take for example the repeating decimal 0.33333..... It can be written as 1/3 which is a rational number.

3 0
3 years ago
2 PUNTS
xz_007 [3.2K]

Answer:

x^2  +  y^2  = 4

Step-by-step explanation:

The center-radius form (formally called the standard form) of a circle is

(x-h)^2+(y-k)^2=r^2 where (h,k) is the center and r is the radius.

So if we replace (h,k) with (0,0) since the center is the origin and r with 2 since the radius is 2 we get:

(x-0)^2+(y-0)^2=2^2

Let's simplify:

x^2  +  y^2   = 4

8 0
3 years ago
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