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marusya05 [52]
3 years ago
13

A turtle swims at a speed of 12 mph. A boy swims at a speed of 4.4 ft per s. 3 ft = 1 yd 5280 ft = 1 mi How much faster does the

turtle swim than the boy in yards per minute?
Mathematics
2 answers:
anzhelika [568]3 years ago
6 0
The turtle swims at a speed of 21,120 yards per minute (12 x 5280 = 63,360, 63,360/3 = 21,120) and the boy swims at a speed of 88 yards per minute. So the turtle swims 21,032 yards per minute faster than the boy.
Mekhanik [1.2K]3 years ago
4 0
12 / 60 minutes = 0.2 miles per minute
0.2 × 5280 ft = 1056 ft per minute
1056 ÷ 3 ft = 352 yds per minute

4.4 x 60 = 264 ft per minute
264 ÷ 3 = 88 yds per minute

352 - 88 = 264 yds per minute faster
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a parabola has an x-intercept at 2, its axis of symmetry is the line x=4, and the y-coordinate of its vertex is 6. Determine the
nlexa [21]

Answer:

The standard equation of the parabola is:

y=-\frac{3}{2}x^2+12x-18

Step-by-step explanation:

An x intercept of 2 means that the point (2, 0) is in the graph of the parabola.

We can also write the general expression for the parabola in vertex form, since we can use the information on the coordinates of the vertex: (4, 6) - recall that the axis of symmetry of the parabola goes through the parabola's vertex, so the x-value of the vertex must be x=4.

y-y_{vertex}=a\,(x-x_{vertex})^2\\y-6=a\,(x-4)^2

Now we can find the value of the parameter "a" by using the extra information about the point (2, 0) at which the parabola intercepts the x-axis:

y-6=a\,(x-4)^2\\0-6=a\,(2-4)^2\\-6=a\,4\\a=-\frac{6}{4} =-\frac{3}{2}

Then the equation of the parabola becomes:

y-6=-\frac{3}{2} \,(x-4)^2\\y-6=-\frac{3}{2} (x^2-8x+16)\\y-6=-\frac{3}{2}x^2+12x-24\\y=-\frac{3}{2}x^2+12x-18

7 0
4 years ago
The following lines are ______ <br><br> 4x + 2y = 10 y = -2x + 15
zmey [24]

Answer:

Parallel

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

given

4x + 2y = 10 ( subtract 4x from both sides )

2y = - 4x + 10 ( divide through by 2 )

y = - 2x + 5 ← in slope- intercept form

with slope m = - 2

and

y = - 2x + 15 ← is in slope- intercept form

with slope m = - 2

• parallel lines have equal slopes

then the 2 lines are parallel

4 0
2 years ago
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Find the range 7,6,5,9,5,8,2 please include work!!
ArbitrLikvidat [17]

Answer:

7.

Step-by-step explanation:

Range = highest value - lowest

= 9 - 2

= 7.

5 0
3 years ago
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