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PilotLPTM [1.2K]
3 years ago
5

A river flows at the rate of 10 feet per minute. What is the rate in seconds per foot​?

Mathematics
1 answer:
kicyunya [14]3 years ago
7 0
The rate of change is 6 secs/foot in terms of seconds per foot. 
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A trapezoid has an area of 266.4 square feet. One base is 8.5 feet long. The height measures 24 feet. What is the length of the
exis [7]

266.4 - 8.5 - 24 will give you the answer of 233.9

6 0
3 years ago
Math help please <br><br> Thanks <br> A lot
babunello [35]

Answer:  

2 hours:  3968  <u>[I don't understand the $ sign in the answer box]</u>

At midnight:  12137

Step-by-step explanation:

The bacteria are increasing by 15% every hour.  So for every hour we will have what we started with, plus 15% more.  

The "15% more" can be represented mathematically with (1 + 0.15) or 1.15.  Let's call this the "growth factor" and assign it the variable b.  b is (1 +  percent increase).

Since this per hour, in 1 hour we'll have (3000)*(1.15) = 3450

At the end of the second hour we're increased by 15% again:

(3450)*(1.15) = 3968.

Each additional hour add another (1.15) factor,  If we assign a to be the starting population, this can be represented by:

P = a(1.15)^t for this sample that increase 15% per hour.  t is time, in hours.  

If a represents the growth factor, and P is the total population, the general expression is

P = ab^t

Using this for a = 3000 and b = 1.15, we can find the total population at midnight after starting at 2PM.  That is a 10 hour period, so t = 10

P = (3000)*(1.15)^10

P = 12137

8 0
2 years ago
What is the converse of the following conditional statement? If x = –10, then x2 = 100
tangare [24]
The converse would be If x² = 100 then x = -10

So essentially if the conditional statement is p → q then the converse is q → p (In essence, the converse of a conditional statement  is formed by interchanging the hypothesis and the conclusion.)


8 0
3 years ago
Round 1400 to the nearest 10
anygoal [31]

Answer:

1395 is the lower bound because 1395 rounded to the nearest 10 is 1400 but 1394 rounded to the nearest 10 is 1390.

Step-by-step explanation:


7 0
3 years ago
Cdef maps to jklm with the transformation (x,y) to (4x,4y) to (x-4,y-9). What is the value of ef/lm.
Elina [12.6K]

Answer:

EF / LM = 1 / 4

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are reflection, translation, dilation and rotation.

Dilation is the enlargement or reduction in the size of a figure. If a point A(x, y) is dilated by a scale factor of k, the new point is at A'(kx, ky).

Translation is the movement of a point right, left, up or down. If a point A(x, y) is translated a units left and b units down, the new point is at A'(x - a, y - b).

Translation preserves the size and shape of an object. Dilation preserves the shape but not the size.

Cdef maps to jklm with the transformation (x,y) to (4x,4y) to (x-4,y-9).

CDEF was first dilated by a scale factor of 4 to get (4x,4y) before it was translated by (x-4,y-9). Since dilation changes the size of the figure, hence JKLM would be 4 times the size of CDEF. Therefore:

LM / EF = 4

EF / LM = 1 / 4

6 0
2 years ago
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