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natita [175]
3 years ago
8

How many even numbers can be formed from the digits 1,2,3,4,5?

Mathematics
1 answer:
gayaneshka [121]3 years ago
3 0
120 even numbers that can be made out of those numbers.
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Natalie has 500 candy bars to sell for a fundraiser. Let C be the number of candy bars. Let P be the amount made from selling th
Contact [7]

1. Writing p as a function of c gives

P =2c-250

Where C is the number of candy bar

P is the number of candy bar sold.

2. This is expressed as

0 =< C <= 250

3. This is expressed as

0 =< C =< 250

4. Amount made from selling candy bar in the set of interger between 0 to 500

C is given as 500

From the equation P=2C-250

P=2×500-250

P=1000-250 =750.

P=750

5. Amount made selling candy bar for the set of real numbers between 0 and 250

C is equal to 250

From the equation, we have

P=2×250-250

P=500-250 =250.

4 0
3 years ago
What is the equation of the circle with center (1, -1) that passes through the point (5, 7)?
Inessa [10]

Answer:

Equation of the circle =

80 = ( x - 1)^2 + (y + 1)^2

Step-by-step explanation:

Center = (1 , -1)

Point = ( 5 , 7)

Eqn of a circle is

r^2 = (x - h)^2 + (y - k)^2

We are not given the radius of the circle, fortunately we are provided the information that the circle contains a point ( 5, 7), so we use the above information to find r

Using the center (1, -1)

h - 1

k - -1

r^2 = (x - 1)^2 + ( y - -1)^2

r^2 = (x - 1)^2 + (y + 1)^2

With the point ( 5,7)

x = 5

y = 7

r^2 = ( 5 - 1)^2 + ( 7 + 1)^2

= 4^2 + 8^2

= 16 + 64

= 80

r^2 = 80

r = square root of 80

r = 8.94

The r = 8.94 , which means the equation of the circle is

80 = (x - 1)^2 + ( y + 1)^2

5 0
3 years ago
What value of c makes x2 + 6x + c a perfect square trinomial? 3 6 9 12
miskamm [114]
The answer is 3 jehfhdhhedhhshshdhhsgdjshshdhdh
5 0
4 years ago
Water is added to a cylindrical tank of radius 5 m and height of 10 m at a rate of 100 L/min. Find the rate of change of the wat
nirvana33 [79]

Answer:

V = \pi r^2 h

For this case we know that r=5m represent the radius, h = 10m the height and the rate given is:

\frac{dV}{dt}= \frac{100 L}{min}

Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}

And replacing we got:

\frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}

And that represent 0.127 \frac{cm}{min}

Step-by-step explanation:

For a tank similar to a cylinder the volume is given by:

V = \pi r^2 h

For this case we know that r=5m represent the radius, h = 10m the height and the rate given is:

\frac{dV}{dt}= \frac{100 L}{min}

For this case we want to find the rate of change of the water level when h =6m so then we can derivate the formula for the volume and we got:

\frac{dV}{dt}= \pi r^2 \frac{dh}{dt}

And solving for \frac{dh}{dt} we got:

\frac{dh}{dt}= \frac{\frac{dV}{dt}}{\pi r^2}

We need to convert the rate given into m^3/min and we got:

Q = 100 \frac{L}{min} *\frac{1m^3}{1000L}= 0.1 \frac{m^3}{min}

And replacing we got:

\frac{dh}{dt}=\frac{0.1 m^3/min}{\pi (5m)^2}= 0.0012732 \frac{m}{min}

And that represent 0.127 \frac{cm}{min}

5 0
4 years ago
There are 7 days in 1 week. How many days are there<br> in 4 weeks?
otez555 [7]

Answer:

28 days

Step-by-step explanation:

You multiply 7 by 4 for find the number of days in 4 weeks, since 1 week is 7 days: 7 × 4 = 28.

Hope this helps!

8 0
3 years ago
Read 2 more answers
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