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3 years ago

Please help fast!!! Thank you:)

Mathematics

2 answers:

WITCHER [35]3 years ago

4 0

Answer:

1 one is correct

3 one is correct

5 one is correct

Step-by-step explanation:

PSYCHO15rus [73]3 years ago

3 0

Answer:

Step-by-step explanation:

1. 1.325 x 10^7 = 13,250,000

2. 1.02 x 10^-6 = 0.00000102

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Solve the equation below. Indicate which solutions, if any, are extraneous.<br> √ x+5 = x+3

ahrayia [7]

9514 1404 393

Answer:

x = -1

Step-by-step explanation:

A graphical solution can avoid extraneous solutions. The attachment shows the one solution is x = -1.

Squaring both sides gives ...

x +5 = (x +3)² = x² +6x +9

Putting this in standard form, we have ...

x² +5x +4 = 0

(x +1)(x +4) = 0 . . . . . factor

x = -1 or -4 . . . . . . . . values of x that make the factors zero

Since we require the root to be non-negative, we must have ...

x +3 ≥ 0

x ≥ -3

The only solution that satisfies this requirement is x = -1. The solution x = -4 is extraneous. The solution is x = -1.

3 0

3 years ago

A jet travels 2301 miles against the wind in 3 hours and 2811 miles with the wind in the same amount of time. What is the rate o

astraxan [27]

Answer:

The rate of the jet in still air is 852 miles per hour. The rate of the wind is 85 miles per hour.

Step-by-step explanation:

Let suppose that jet travels uniformly, that is, at constant speed, the expressions for its travels against the wind and with the wind are, respectively:

Against the wind

$v -u = \frac{\Delta x_{1}}{\Delta t_{1}}$

With the wind

$v +u = \frac{\Delta x_{2}}{\Delta t_{2}}$

Where:

$v$ - Speed of the jet in still air, measured in miles per hour.

$u$ - Speed of wind, measured in miles per hour.

$\Delta x_{1}$ , $\Delta x_{2}$ - Distances travelled by jet against the wind and with the wind, measured in miles.

$\Delta t_{1}$ , $\Delta t_{2}$ - Times against the wind and with the wind, measured in hours.

By adding both expressions:

$2\cdot v = \frac{\Delta x_{1}}{\Delta t_{1}}+\frac{\Delta x_{2}}{\Delta t_{2}}$

$v = \frac{1}{2}\cdot \left(\frac{\Delta x_{1}}{\Delta t_{1}} + \frac{\Delta x_{2}}{\Delta t_{2}} \right)$

Given that $\Delta x_{1} = 2301\,mi$ , $\Delta t_{1} = 3\,h$ , $\Delta x_{2} = 2811\,mi$ and $\Delta t_{2} = 3\,h$ , the speed of the jet is:

$v = \frac{1}{2}\cdot \left(\frac{2301\,mi}{3\,h}+\frac{2811\,mi}{3\,h} \right)$

$v = 852\,\frac{mi}{h}$

The rate of the jet in still air is 852 miles per hour.

Lastly, the rate of the wind is:

$u = \frac{\Delta x_{2}}{\Delta t_{2}}-v$

$u = \frac{2811\,mi}{3\,h}-852\,\frac{mi}{h}$

$u = 85\,\frac{mi}{h}$

The rate of the wind is 85 miles per hour.

5 0

3 years ago

Help me pls- I'll give u 55 points <3

Juli2301 [7.4K]

Answer:

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

The graphs of f(x) = 5^x and its translation, g(x), are shown on the graph.

PilotLPTM [1.2K]

Answer:

B)g(x) = 5^x - 10

Step-by-step explanation:

If you compare graphs f(x) and g(x) for a certain point, let's say point (2,25) and (2,15) you'll notice that y coordinate changed frim25 to 15 so this is 10 units down. This is vertical transformation 10 units down.

The same thing happens if you compare other given points.

4 0

3 years ago

6/9 in a percentage

motikmotik

Answer:

66.666%

Step-by-step explanation:

6/9=x/100

9x=6x100

9x=600

x=600:9

x=66.666

66.666/100=66.666%

3 0

2 years ago

Read 2 more answers