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Mila [183]
3 years ago
11

A rate in which the second quantity in the comparison is one unit is known as a

Mathematics
2 answers:
krek1111 [17]3 years ago
7 0

Answer:

Unit rate

Step-by-step explanation:

Gennadij [26K]3 years ago
3 0

Answer:

Unit rate

Step-by-step explanation:

Unit rate -- A rate in which the second quantity in the comparison is one unit.

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The function C(x) = x 2 + 78 x + 29 models the cost, in hundreds of dollars, to produce x thousand pens. Find and interpret C(0)
VashaNatasha [74]

Answer:

Step-by-step explanation:

Given the function C(x) = x 2 + 78 x + 29 models the cost, in hundreds of dollars, to produce x thousand pens, we are to interpret C(0), C(2) and C(4).

For C(0), we are to substitute x = 0 into the given function;

C(0) = 0²+78(0)+29

C(0) = 0+0+29

C(0) = 29

Since the cost C(x) is in hundreds of dollars, C(0) = 2900

<em>C(0) means that the cost of producing 0 thousand pen is $2,900</em>

For C(2), we are to substitute x = 2 into the given function;

C(2) = 2²+78(2)+29

C(2) = 4+156+29

C(2) = 189

Since the cost C(x) is in hundreds of dollars, C(2) = 189*100 = $18900

<em>C(2) means that the cost of producing 2 thousand pens is $18,900</em>

For C(4), we are to substitute x = 4 into the given function;

C(4) = 4²+78(4)+29

C(4) = 16+312+29

C(4) = 357

Since the cost C(4) is in hundreds of dollars, C(4) = 357

<em>C(4) means that the cost of producing 4 thousand pens is $35,700</em>

<em></em>

6 0
3 years ago
Which of these statements is true for f(x) = (1/2)^x
Ann [662]
<h3>Answer:  D) The y intercept is (0,1)</h3>

This can be confirmed by plugging x = 0 into the function to find that...

y = (1/2)^x

y = (1/2)^0

y = 1

Recall that any nonzero value to the 0th power leads to 1. So we can say x^0 = 1 as long as x is not zero.

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

Extra info (optional section):

  • We can rule out choice A because negative x values work in the domain. For instance, if x = -1, then it leads to y = (1/2)^x = (1/2)^(-1) = 2. The negative exponent will apply the reciprocal operation to the base fraction.
  • Choice B can also be ruled out because the range is y > 0. Or you could note that it is possible to get positive y values smaller than 1/2. Try x = 2 and you'll see it leads to y = 1/4 which is not greater than 1/2.
  • Choice C is false as well. The function f(x) = (1/2)^x is decreasing throughout the domain. A graph visually would show this due to it going downhill when moving from left to right. A table of values is a non-visual way to see we have a decreasing function. The table would show that y decreases when x increases.
6 0
3 years ago
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The sum of the interior angles of a quadrilateral equals. 180 270 360 540
lys-0071 [83]
The sum of the interior angles in any given quadrilateral is always going to be 360.

This means each angle inside the quadrilateral added up with always equal 360 degrees.

Hope this helps!
Brainliest is always appreciated if you feel its deserved! :)<span />
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3 years ago
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What is the 6th term of this geometric sequence? 1,7,49,343
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Since it is times 7 each time it will be  16807
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4 years ago
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a conveyor belt carries supplies from teh first floor to the second floor, which is 12 feet higher. The belt makes a 60% angle w
Papessa [141]
It will make a right triangle with base angle of 60 degree
cos60=12/D
where D=distance how much belt travel

1/2=12/D
1/2*12=D
d=6 feet
hope am right
5 0
3 years ago
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