All categories

3 years ago

An airplanes altitude changes -378 feet over 7 minutes. What was the mean change of altitude in feet per minute?

Mathematics

2 answers:

Natalija [7]3 years ago

4 0

Average rate= change in alt / change in time

r=-378/7=-54ft/min

uysha [10]3 years ago

4 0

It changed -54 feet every minute. All you have to do is divide 7 by -378.
Hope this helps!

You might be interested in

if an angle is acute, then the measure of its complement must be greater than the measure of its supplement? a.true b.false

iogann1982 [59]

The answer is a because the compliment is the other part of the 180 degree half circle, and if it's acute it has to be smaller than its compliment

6 0

3 years ago

700 is 10 times as much as blank

creativ13 [48]

700 is 10 times as much as 70 since 70 times 10 equals 700.

70 is the answer

Hope this helps!

8 0

2 years ago

Read 2 more answers

Simplify; 1/x^2+5x+6 + 1/x^2+3x+2 pls I need a step by step solution urgently

ikadub [295]

Answer:

The simplest form of $\frac{1}{x^{2}+5x+6}+\frac{1}{x^{2}+3x+2}$ is $\frac{2}{(x+1)(x+3)}$

Step-by-step explanation:

To add two algebraic fractions do these steps

Factorize each denominator
Simplify each fraction to its lowest term
Find the LCM of the two denominators
Divide LCM by each denominator and multiply the numerators by its corresponding quotients
Add the two fraction and simplify the last answer

To simplify $\frac{1}{x^{2}+5x+6}+\frac{1}{x^{2}+3x+2}$

Factorize each denominator

∵ The denominator of the first fraction is x² + 5x + 6

∵ x² = (x)(x)

∵ 6 = (2)(3)

∵ (2)(x) + (3)(x) = 5x ⇒ middle term

∴ x² + 5x + 6 = (x + 2)(x + 3)

∵ The denominator of the second fraction is x² + 3x + 2

∵ x² = (x)(x)

∵ 2 = (2)(1)

∵ (2)(x) + (1)(x) = 3x ⇒ middle term

∴ x² + 3x + 2 = (x + 2)(x + 1)

Find the LCM of the two denominators

∵ The denominators are (x + 2)(x + 3) and (x + 2)(x + 1)

- LCM is all the different factors multiplied together

∴ LCM of them is (x + 1)(x + 2)(x + 3)

- Divide LCM by each denominator

∵ (x + 1)(x + 2)(x + 3) ÷ (x + 2)(x + 3) = (x + 1)

- Multiply the numerator of the first fraction by (x + 1)

∵ (x + 1)(x + 2)(x + 3) ÷ (x + 2)(x + 1) = (x + 3)

- Multiply the numerator of the second fraction by (x + 3)

∴ $\frac{1}{x^{2}+5x+6}+\frac{1}{x^{2}+3x+2}$ = $\frac{x+1}{(x+1)(x+2)(x+3)}+\frac{x+3}{(x+1)(x+2)(x+3)}$

- Add the numerators and write the answer as a single fraction

∴ $\frac{1}{x^{2}+5x+6}+\frac{1}{x^{2}+3x+2}$ = $\frac{2x+4}{(x+1)(x+2)(x+3)}$

- Factorize the numerator by taking 2 as a common factor

∵ 2x + 4 = 2(x + 2)

∴ $\frac{1}{x^{2}+5x+6}+\frac{1}{x^{2}+3x+2}$ = $\frac{2(x+2)}{(x+1)(x+2)(x+3)}$

- Simplify the fraction by dividing up and down by (x + 2)

∴ $\frac{1}{x^{2}+5x+6}+\frac{1}{x^{2}+3x+2}$ = $\frac{2}{(x+1)(x+3)}$

The simplest form of $\frac{1}{x^{2}+5x+6}+\frac{1}{x^{2}+3x+2}$ is $\frac{2}{(x+1)(x+3)}$

5 0

3 years ago

Why should you not choose a point on the line to find the direction of shading in an inequality?

PIT_PIT [208]

Answer:

Because we know for a fact that the line has a correct answer. Plus, if you choose a point on the line then it will not give you the visual side of which is correct and which is wrong.

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

The 20 tallest buildings in the world have an average height of 1,667.25 feet, with a standard deviation of 318.31 feet. The Zif

valentina_108 [34]

Answer:

Marina, Wuhan center, Zifeng Tower , Shangai Tower

Step-by-step explanation:

Using the z-scores of the Shangai tower and the Marina, we can calculate their heights

Mathematically, the z-score or standard score can be calculated as follows

Zscore = X - μ/σ

where σ and μ represents the standard deviation and the population mean respectively.

For Shaghai Tower ;

1.27 = (X - 1667.25)/318.31

318.31 × 1.27 = X - 1667.25

404.25 = X - 1667.25

X = 1667.25 + 404.25 = 2071.50

The height of the Shaghai Tower is 2071.50 feet

For Marina, we use the same procedure;

-0.84 = (X - 1667.25)/318.31

318.31 × -0.84 = X - 1667.25

-267.38 = X - 1667.25

X = 1667.25 - 267.38 = 1399.87

The height of Marina building is 1399.87

Listing the buildings' height in ascending order we have; Marina, Wuhan center, Zifeng Tower , Shangai Tower

The reasoning behind this can be mathematically explained in terms of the z-score. The standard score of the heights of the building give us an insight as to how tall the buildings can be.

Since they are in the same population i.e building heights, the higher the z-score, the higher the height of the building. A positive z-score indicates a height taller than the average while a negative z-score indicate a height lower than the average height which is the mean

6 0

3 years ago