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3 years ago

5.45 ÷ (-0.05) please help. I need to show the work, and it's its due tomorrow

Mathematics

1 answer:

Lorico [155]3 years ago

5 0

Alr that would be =-109 for your answer

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A weather plane took to the skies to measure the speed of the jet stream. The plane flew 1920 km with the jet stream as a tail w

Alex

For this case, the first thing we must do is define variables:
p: plane speed
w: wind speed
With the wind in favor, the speed is:
$p + w = 1920/2
$
With the wind against the speed is:
$p - w = 1920 / 3.2
$
Rewriting both equations, we have the following system of equations:
$p + w = 960

p - w = 600$
Then, solving the system of equations (graphically for example), we have the solution is:
$p = 780

w = 180$
Therefore, jet stream's speed:
$w = 180 km / h
$
Answer:
A) p + w = 960; p - w = 600; jet stream's speed = 180 km / h

7 0

3 years ago

2.8, 3.4, 4.0, 4.6, . . . Write an equation for the nth term of the arithmetic sequence. Then find a50.

vova2212 [387]

Answer:

a_n = 2.2 + 0.6 n

a_50 = 32.2

Step-by-step explanation:

What's the common difference of this series?

$a_1 = 2.8$

$a_2 = 3.4$

Common difference = $a_2 - a_1 = 3.4 - 2.8 = 0.6$ .

Expression for the nth term:

$a_n = a_1 + (n - 1) \cdot\text{Common Difference} \\\phantom{a_n } = 2.8 + 0.6 \; (n-1) \\\phantom{a_n} = 2.8 + 0.6 \; n - 0.6\\\phantom{a_n} = 2.2 + 0.6\; n$

n = 50 for the fiftieth term. Therefore

$a_{50} = 2.2 + 0.6 \times 50 = 32.2$ .

6 0

3 years ago

The graph of function p is shown on the grid. The coordinates of the x-intercepts, the y-intercepts, and the vertex are integers

Aleks [24]

Answer: I even

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3 years ago

MATH REAL ANSWER PLS DONT ANSWER THEN DELETE (BENNY whatever ur 500 accounts are i’m filing a police report if you answer this s

Dafna1 [17]

Answer:

Step-by-step explanation:

0 = (x + 1)(x + 1)

Therefore

x + 1 = 0

x = -1 (twice)

(-1, 0), (-1, 0)

6 0

2 years ago

A rectangle has an area of 19.38 cm2. When both the length and width of the rectangle are increased by 1.50 cm, the area of the

Lostsunrise [7]

Answer: $5.7\ cm$

Step-by-step explanation:

Given

Rectangle has an area of $19.38\ cm^2$

Suppose rectangle length and width are $l$ and $w$

If each side is increased by $1.50\ cm$

Area becomes $A_2=35.28\ cm^2$

We can write

$\Rightarrow lw=19.38\quad \ldots(i)\\\\\Rightarrow (l+1.5)(w+1.5)=35.28\\\Rightarrow lw+1.5(l+w)+1.5^2=35.28\\\text{use (i) for}\ lw\\\Rightarrow 19.38+1.5(l+w)=35.28-2.25\\\Rightarrow l+w=9.1\quad \ldots(ii)$

Substitute the value of width from (ii) in equation (i)

$\Rightarrow l(9.1-l)=19.38\\\Rightarrow l^2-9.1l+19.38=0\\\\\Rightarrow l=\dfrac{9.1\pm\sqrt{(-9.1)^2-4(1)(19.38)}}{2\times 1}\\\\\Rightarrow l=\dfrac{9.1\pm\sqrt{5.29}}{2}\\\\\Rightarrow l=\dfrac{9.1\pm2.3}{2}\\\\\Rightarrow l=3.4,\ 5.7$

Width corresponding to these lengths

$w=5.7,\ 3.4$

Therfore, we can write the length of the longer side is $5.7\ cm$

8 0

3 years ago

5.45 ÷ (-0.05) please help. I need to show the work, and it's its due tomorrow ​

5.45 ÷ (-0.05) please help. I need to show the work, and it's its due tomorrow