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ankoles [38]
3 years ago
11

The population of a colony of bacteria can be modeled by the function P(t) = 19,300(5)^t, where t is the elapsed time

Mathematics
2 answers:
kipiarov [429]3 years ago
6 0

Answer:

C. P–1(t) =   log5 (StartFraction t Over 19,300 EndFraction)

Step-by-step explanation:

allsm [11]3 years ago
4 0
Answer: root t(5)/19300

Explanation:

P(t) = 19300(5)^t
P-1(t) = root t(5)/19300


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Find the area of the surface obtained by rotating the curve y x2 0 ≤ x ≤ 2 about the y axis
Rudiy27

<span>ds=<span>√<span>1+<span><span>(<span><span>dy</span><span>dx</span></span>)</span>2</span></span></span><span>dx</span>=<span>√<span>1+<span>14</span><span>(<span>x4</span>−2+<span>1<span>x4</span></span>)</span></span></span><span>dx</span></span>

<span>=<span>√<span><span>14</span><span>(<span>x4</span>+2+<span>1<span>x4</span></span>)</span></span></span><span>dx</span>=<span>√<span><span>1<span>22</span></span><span><span>(<span>x2</span>+<span>1<span>x2</span></span>)</span>2</span></span></span><span>dx</span></span>

<span>=<span>12</span><span>(<span>x2</span>+<span>1<span>x2</span></span>)</span><span>d<span>x</span></span></span>

4 0
3 years ago
I do draws a blueprint of a house using the scale 1 in equals 6 ft in the kitchen has a length of 24 ft what is the length of th
ikadub [295]

Answer:

Length of kitchen on blueprint = 4 in.

Step-by-step explanation:

Scale used to draw a blueprint of a house :

6 feet = 1 in.

Therefore, 1 feet = \frac{1}{6} in.

If the length of kitchen = 24 feet

Then the length of kitchen on the blueprint will be

= \frac{1}{6}\times 24

= 4 in.

Therefore, length of kitchen on blueprint is 4 in.

8 0
2 years ago
Prime factorisation of 500​
Andrews [41]

\boxed{\underline{\bf \: ANSWER}}

2 <u>| 500</u>

2 <u>| 250</u>

5 <u>| 125</u>

5 <u>| 25</u>

5 <u>| 5</u>

1 <u>| 1</u>

Prime factorisation of <u>500 = 2 × 2 × 5 × 5 × 5 × 1</u>

_____

Hope it helps.

ᏒᎯᎨᏁᏰᎾᏯᏕᎯᏝᎿ2222

6 0
2 years ago
find An Equation Of The Line Containg(3,-4) and Having slope -2.If This Line Contain The Points (a,8) and (5,b) find a and b​
ss7ja [257]

Answer:

equation: y=-2x+2

a=-3

b=-8

Step-by-step explanation:

we need to find the equation of the line containing the point (3,-4) and has the slope (m) of -2

slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

we can plug what we know into the equation:

y=-2x+b

we need to find b though

since the point will pass through the point (3,-4) we can subsitute it into the equation to find b

-4=-2(3)+b

-4=-6+b

2=b

the y intercept is 2

so the equation is y=-2x+2

the line also contains the points (a,8) and (5,b)

first, let's find a

a is the x value of the point

we know the value of y (8)

substitute y as 8 and solve for x

8=-2x+2

subtract

6=-2x

-3=x=a

so a is -3

now find b

b is the y value of the point

we know the x value (5)

substitute x as 5 and solve for y

y=-2(5)+2

y=-10+2

y=-8=b

so b is -8

hope this helps!

4 0
3 years ago
Consider the trinomial 6x2 13x 6. The value of ac is. The value of b is. The two numbers that have a product of ac and a sum of
Verdich [7]

The value of ac is 36 and the value of b is 13. Then the value of ac + b is 49. The two numbers are 4 and 9.

<h3>What is polynomial?</h3>

Polynomial is an algebraic expression that consists of variables and coefficients. Variable are called unknown. We can apply arithmetic operations such as addition, subtraction, etc. But not divisible by variable.

Consider the trinomial 6x² + 13x + 6.

Compare with the standard equation, we have

ax² + bx + c

Then we have

a = 6

b = 13

c = 6

The product of ac will be

ac = 6 × 6 = 36

The sum of ac and b will be

ac + b = 36 + 13 = 49

The two numbers that have a product of ac and a sum of b are 4 and 9.

More about the polynomial link is given below.

brainly.com/question/17822016

6 0
2 years ago
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