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LiRa [457]
2 years ago
6

Find the circumference of the circle in terms of

lt=" \pi " align="absmiddle" class="latex-formula">
A. 156\pi in
B. 39pi in
C. 1521pi in
D. 78pi in

Mathematics
1 answer:
Tanya [424]2 years ago
4 0
D. 78pi in
Do you need an explanation?
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a manufacturer can produce a color pen at a cost of $3. the color pens have been selling for $5 per pen and at this price, consu
Serjik [45]
Let x be the number of increases of $1 a month.
Let y be the maximum profit.
The profit before the price increases:
$5-$3=$2
The profit when increasing the price:
y= (2+x x 1)(4000-400x)
y= 8000-800x +4000x -400x2             (x2: x square)
The vertex:
x= -3200/(-400 x 2) = 4
=> y= 14400
The price can maximize the profit is:
p= 3+ 2 +4x1= 9
The price can maximize the profit is $9
The maximum profit is $14400.
7 0
2 years ago
A 2% suspension in saline contains how many ml per 5 ml saline?
nevsk [136]

Answer:

There are 0.1 mililiters in 5 milimeters saline.

Step-by-step explanation:

A 2 % suspension means that 2 % of the volume of a given substance per each 100 milimeters of saline. That is:

r = \frac{V_{sub}}{V_{sal}}

V_{sub} = r\cdot V_{sal}

Where:

r - Suspension ratio, dimensionless.

V_{sal} - Saline volume, measured in milimeters.

V_{sub} - Substance volume, measured in milimeters.

Given that r = 0.02 and V_{sal} = 5\,mL, the volume of the substance is:

V_{sub} = 0.02\cdot (5\,mL)

V_{sub} = 0.1\,mL

There are 0.1 mililiters in 5 milimeters saline.

8 0
3 years ago
Sqrt45a^5 simplified
Anestetic [448]

\sqrt{45a^5}

[scomposition of 45]

\sqrt{9*5*a^5}

[9 = 3^2, must use this notation (not 3*3)]

\sqrt{3^2*5*a^5}

[We appy one of the proprieties of square roots]

\sqrt{3^2}* \sqrt{5}*\sqrt{a^5}

[now we semplify: we must take out as much as possible all the elements under roots]

[to do that, we must divide the esponent of each element with the index of square roots (2)]

so

\sqrt{3^2}, 2/2 = 1

\sqrt{5}, 1/2 = 0 with 1 of rest

\sqrt{a^5}, 5/2 = 2 with 1 rest

[well, after do that, we can take out the elements under tbhe square roots!]

The quotient of each division is the esponent of the element out of the root

The rest of each division is the esponent of the element under the root

so:

3^{1} (quotient = 1, see the first operation) * \sqrt{5} (rest = 1, see the second operation) * a^{2} (quotient = 2, see the third operation) * \sqrt{a^1} (rest = 1, see the third operation)

The final result is:

3 (=3^1) * a² * √5 * √a

3a²√5a

It's more intuitive and easy, but the explanation (necessary) is very long. If you have other questions, ask me here in the comments! Also sorry for my english, not so good!

8 0
3 years ago
The sum of the measures of the angles of a triangle is 180. The sum of the measures of the second and third angles is five times
In-s [12.5K]

Answer:

       First:  30°

 Second:   67°

      Third:  83°

Step-by-step explanation:

        First:   x

  Second:   y

      Third:   z = y + 16

Constraints:

   x + y + z  = 180

   y + z = 5x                  ===>    y = 5x - z

   

Substitution to find first angle x:

   x + y + z  = 180

   x + (5x - z) + z  = 180

   x + 5x - z + z = 180

   6x = 180

    x = 30

Substitution to find second angle y:

   y = 5x - z

   y = 5(30) - z

   y = 150 - z

   y = 150 - (y + 16)

   y = 150 - y - 16

   y = 134 - y

   2y = 134

     y = 67

Substitution to find third angle z:

  z = y + 16

  z = (67) + 16

  z = 83

4 0
2 years ago
What is the value of 134+2n*2 when n= 6
nata0808 [166]
292 is the correct answer when n=6
7 0
2 years ago
Read 2 more answers
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