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3 years ago

Solve: log2 (x +1) - log2 (x - 4) = 3 please help me step by step!!

Mathematics

1 answer:

Anuta_ua [19.1K]3 years ago

8 0

Answer:

31/7

Step-by-step explanation:

Check attachment

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Please help whats the answer !!

STALIN [3.7K]

Yes, they are proportional. if you divide the second fraction down to simplest form, you get 7/12, which is equal to the first fraction.

3 0

3 years ago

A plane flying horizontally at an altitude of 1 mi and a speed of 470 mi/h passes directly over a radar station. Find the rate a

kiruha [24]

Answer:

407 mi/h

Step-by-step explanation:

Given:

Speed of plane (s) = 470 mi/h

Height of plane above radar station (h) = 1 mi

Let the distance of plane from station be 'D' at any time 't' and let 'x' be the horizontal distance traveled in time 't' by the plane.

Consider a right angled triangle representing the above scenario.

We can see that, the height 'h' remains fixed as the plane is flying horizontally.

Speed of the plane is nothing but the rate of change of horizontal distance of plane. So, $s=\frac{dx}{dt}=470\ mi/h$

Now, applying Pythagoras theorem to the triangle, we have:

$D^2=h^2+x^2\\\\D^2=1+x^2$

Differentiating with respect to time 't', we get:

$2D\frac{dD}{dt}=0+2x\frac{dx}{dt}\\\\\frac{dD}{dt}=\frac{x}{D}(s)$

Now, when the plane is 2 miles away from radar station, then D = 2 mi

Also, the horizontal distance traveled can be calculated using the value of 'D' in equation (1). This gives,

$2^2=1+x^2\\\\x^2=4-1\\\\x=\sqrt3=1.732\ mi$

Now, plug in all the given values and solve for $\frac{dD}{dt}$ . This gives,

$\frac{dD}{dt}=\frac{1.732\times 470}{2}=407.02\approx 407\ mi/h$

Therefore, the distance from the plane to the station is increasing at a rate of 407 mi/h.

6 0

3 years ago

The quotient of 2 and 9

Nat2105 [25]

0.222222222222222222

7 0

3 years ago

Malik collects rare stamps and has a total of 212 stamps. He has 34 more domestic stamps than foreign stamps. Let x represent th

Effectus [21]

Answer:

y = 89 x = 123

Step-by-step explanation:

since they're both in standard form, its easier to do the process of elimination

x - y = 34

-x -y -212

------------------

-2y = -178

y = 89

now plug in y to any one of those two equations

x - y = 34

x - 89 = 34

x = 123

to check:

x + y = 212

123 + 89 = 212

212 = 212

6 0

3 years ago

Me ayudan con el problema dice Arturo compro 6 quesos de 1/4 de Kg cada uno Cuantos Kg de queso tiene?

stepladder [879]

Answer:

1 1/2 kg de queso

Step-by-step explanation:

De la pregunta anterior, sabemos que:

1 queso = 1/4 kg

6 quesos = x kg

Multiplicar cruzada

1 queso × x kg = 6 quesos × 1/4 kg

x kg = 6 quesos × 1/4 kg / 1 queso

x kg = 3/2 kg

x kg = 1 1/2 kg de queso

6 0

3 years ago