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shtirl [24]
3 years ago
11

How do you multiply a fraction by a whole number

Mathematics
1 answer:
morpeh [17]3 years ago
4 0
Assuming the +'s are actually x's  1/2 of 3 is 1.5 and 1.5 divided by 7 is 1.5/7.(answer is 1.5/7) hopefully I'm right.
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A plane flying horizontally at an altitude of 2 mi and a speed of 540 mi/h passes directly over a radar station. Find the rate a
Rasek [7]

Answer:

The plane's distance from the radar station will increase about 8 miles per minute when it is 5 miles away from it.

Step-by-step explanation:

When the plane passes over the radar station, the current distance is the altitude h = 2. Then it moves b horizontally so that the distance to the station is 5. We can form a rectangle triangle using b, h and the hypotenuse 5. Therefore, b should satisfy

h²+b² = 5², since h = 2, h² = 4, as a result

b² = 25-4 = 21, thus

b = √21.

Since it moved √21 mi, then the time passed is √21/540 = 0.008466 hours, which is 0.51 minutes. Note that in 1 minute, the plane makes 540/60 = 9 miles.

The distance between the plane and the radar station after x minutes from the moment that the plane passes over it is given by the function

f(x) = \sqrt{((9x)^2 + 2^2)} = \sqrt{(81x^2+4)}

We have to compute the derivate of f in x = 0.51. The derivate of f is given by

f'(x) = \frac{162x}{2\sqrt{81x^2+4}}

also,

f'(0.51) = \frac{162*0.51}{2\sqrt{81*0.51^2+4}} = 8.2486

The plane's distance from the station will increase about 8 miles per minute.

4 0
3 years ago
Y is inversely proportional to (x + 2)
Ostrovityanka [42]

Answer:

y*(x+2)=k

so y= k/(x+2)

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
The equation y 16t 2 18t 405 describes the height in feet of a ball thrown downward at 18 feet per second from a height of 405 f
kumpel [21]

Answer:

Ball hits the ground after 4.5 sec

Step-by-step explanation:

Let a -1, so that the leading coefficient is positive

So our quadratic is

-1 \times (16t^2 +18t -405)

The key coefficients of two binomial variables can be 1 and 16, or 2 and 8, or 4 and 4, for the leading coefficient of 16.

Yet they can't actually be 4 and 4 because the linear (x) term coefficient has to be a multiple of 4, which it isn't and leading coefficients 1 and 16 on the binomial factors is not likely.

So, 2 and 8 taken as the leading coefficients of  two binomial factors.

For constant  405, possible factorizations are (81\times 5, 27 \times 15, 9 \times 45).

(16t^2 +18t -405) = (8t + 45) (2t - 9)

Taking first factor, thus we find  negative value for given time t. But  second time equivalent to zero gives the value of 4.5 for t

Thus ball hits the ground after 4.5 sec

.

3 0
3 years ago
PLS HELP ME WITH FINDING THE VOLUME OF THIS SOLID
Fofino [41]
Lwh = (3+3+6) (4) (7)

12 x 4 x 7 = 336
3 0
3 years ago
Can anyone help me with this im having some difficulty
Whitepunk [10]

Answer:

option C

Step-by-step explanation:

(a+b)(a+b) = a^2 + 2ab + b^2

7 0
2 years ago
Read 2 more answers
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