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2 years ago

2b to the power of 2 = 100 i want to know if this question is true or false, someone help me pleaseee.

Mathematics

1 answer:

OLEGan [10]2 years ago

6 0

Answer

Step-by-step explanation:

10^2= 100

so b must be 5

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Let \[f(x) = \frac{3x - 7}{x + 1}.\]find the range of $f$. give your answer as an interval.

ra1l [238]

Hello :
let : $y= \frac{3x-7}{x+1}$
calculate : x ......x ≠ -1
 $y(x+1) = 3x-7$
$yx+y =3x-7$
$yx-3x = -y-7$
$x(y-3) = -7-y$
$x = \frac{y+7}{3-y}$
the inverse function is : $g(x) = \frac{x+7}{3-x}$
domain of : g is the range of : f
as an interval : ]-∞: 3 [U ]3;+∞[

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3 years ago

A signal light is green for 4 minutes, yellow for 10 seconds, and red for 3 minutes. If you drive up to this light, what is the

posledela

Answer:

0.56 is the required probability.

Step-by-step explanation:

Time for which signal shows green light = 4 minutes

Time for which signal shows yellow light = 10 seconds

Time for which signal shows red light = 3 minutes

To find:

Probability that the signal will show green light when you reach the destination = ?

Solution:

First of all, let us convert each time to same unit before doing any calculations.

Time for which signal shows green light = 4 minutes = 4 $\times$ 60 seconds = 240 seconds

Time for which signal shows yellow light = 10 seconds

Time for which signal shows red light = 3 minutes = 3 $\times$ 60 seconds = 180 seconds

Now, let us have a look at the formula for probability of an event E:

$P(E) = \dfrac{\text{Number of favorable cases}}{\text {Total number of cases}}$

Here, E is the event that green light is shown by the signal.

Number of favorable cases mean the time for which green light is shown and Total number of cases is the total time (Time for which green light is shown + Time for which Yellow light is shown + Time for which red light is shown)

So, the required probability is:

$P(E) = \dfrac{240}{240+10+180}\\\Rightarrow P(E) = \dfrac{240}{430}\\\Rightarrow \bold{P(E) \approx 0.56 }$

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2 years ago

Find the area of the figure. (sides meets at right angle)

S_A_V [24]

Multiply length time width, and make sure you square your answer!

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2 years ago

If the point P(-4/5,y) lies on the unit circle and P is in the third quadrant, what does y equal? If necessary, use the slash ma

aleksandr82 [10.1K]

We use the fact that x2+y2=1 This is the equation of the unit circle.
We know that x=-4/5, so plug this in and solve for y
x2+y2=1 (−4/5)^2+y2=1 16/25+y2=1 y2=1−16/25 y2=9/25 y=−square root of 9/ 25
y = -3/5

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3 years ago

Read 2 more answers

All sides of ABC are tangent to circle P. What is the perimeter of the triangle below?

arlik [135]

I got an answer of 58.

Subtract 10 from the side length of 24 to get 14.

And use the side length of 5 to find another side length that also equals 5.

In total all your side lengths would be 10,5,5,24,14. And all of them together to arrive at an answer of 58.

6 0

2 years ago