A certain colony of bacteria triples in length every 10minutes it's length is now 1millimeter how long will it be in 40minutes

Answers

Answer 1

Answer: Bacteria length = 1mm

It will triple four times by 40 min.

This can be shown as 3 to the power of 4; 3⁴ = 81

Original length * growth factor = final length

1 mm * 81 = final length

81 = final length

After 40 mins, the bacteria colony will be 81 mm in length.

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What is twice 2^30? write using exponents

Answers

2^31

use the rule that states the product of the same base with different powers you add them

(a^n) times (a^m) = a^(n+m)

What is 5.207 as a fraction?

Answers

5 207/1000 is the answer

5.207 as a fraction is 5 207/1000

Multiply. √3 ⋅ 2√2 ⋅ 5√8 ⋅ √18 Enter your answer, in simplest radical form, in the box.

Answers

$\sqrt3\n2\sqrt2\n5\sqrt8=5√(4\cdot2)=5\sqrt4\cdot\sqrt2=5(2)\sqrt2=10\sqrt2\n√(18)=√(9\cdot2)=\sqrt9\cdot\sqrt2=3\sqrt2\n\n\sqrt3\cdot2\sqrt2\cdot5\sqrt8\cdot√(18)=\sqrt3\cdot2\sqrt2\cdot10\sqrt2\cdot3\sqrt2\n\n=(2\cdot10\cdot3)(\sqrt3\cdot\sqrt2\cdot\sqrt2\cdot\sqrt2)=60√(3\cdot2)\cdot√(2\cdot2)\n\n=60\sqrt6\cdot\sqrt4=60\sqrt6\cdot2=(60\cdot2)(\sqrt6)\n\n=\boxed{120\sqrt6}$

Answer:

120√6

Step-by-step explanation:

Simplify the 5√8 to 2√2

simplify the √18 to 3√2

so it would be √3 * 2√2 * 5 * 2√2 * 3√2

when a square root of an expression is multiplied by itself:

√3 * 2 * 2* 5 * 2 * 3√2

so as we calculate it, 2 * 2* 5 * 2 * 3 = 120 and √2 * √3 = 6

I have no idea how to do this stuff.

Answers

Answer: $y=2x^(2)-5x+7$

Step-by-step explanation:

The quadratic equation in its standard form is:

$y=ax^(2)+bx+c$

Now, we are given 5 points of the parabola (if you graph a quadratic equation you will have a parabola), however we only need to choose three points to find the coeficients $a$ , $b$ and $c$ in the quadratic equation.

So, let's choose the first three points:

(-1,14):

$14=a(-1)^(2)+b(-1)+c$

$14=a-b+c$ (1)

(0,7):

$7=a(0)^(2)+b(0)+c$

$7=c$ (2)

(1,4):

$y=2x^(2)-5x+7$

$4=a(1)^(2)+b(1)+c$

$4=a+b+c$ (3)

Substituting (2) in (1) and (3):

$14=a-b+7$ (4)

$4=a+b+7$ (5)

At this point we have a system with two equations.

Adding (4) to (5):

$18=2a+14$ (6)

Isolating $a$ :

$a=2$ (7)

Substituitng (7) in (3):

$4=2+b+7$ (8)

Isolating $b$ :

$b=-5$ (9)

Now we have the three coeficients and we can write the quadratic equation:

$y=2x^(2)-5x+7$

Chan gee bought 3.4 pounds of coffee that cost 6.95 per pound how much did he spend on coffe

Answers

Chan spent $23.63 on coffee

3.4x6.95=23.63

Enter the correct answer in the box.What is the standard form of function f?
f(x) = 4(x + 6)^2+ 5

Substitute numerical values into the equation for a, b, and c.

F(x) = ax^2 + bx + c

Answers

The numerical values in the equation for a, b, and c will be 4, 48, and 149, respectively.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The quadratic equation is given as ax² + bx + c = 0. Then the degree of the equation will be 2.

The quadratic function is given below.

f(x) = 4(x + 6)²+ 5

Convert the equation into a standard form. Then we have

f(x) = 4(x + 6)²+ 5

f(x) = 4(x² + 12x + 36)+ 5

f(x) = 4x² + 48x + 144 + 5

f(x) = 4x² + 48x + 149

The numerical values in the equation for a, b, and c will be 4, 48, and 149, respectively.

More about the function link is given below.

brainly.com/question/5245372

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