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Rom4ik [11]
2 years ago
7

Evaluate f(x) = 1.8 • 2x for x = 6

Mathematics
1 answer:
DIA [1.3K]2 years ago
7 0

Answer:

f(x)=1.8 × 2(6)

=1.8 × 12

=216

<h3><u>f</u><u>(</u><u>x</u><u>)</u><u>=</u><u>2</u><u>1</u><u>6</u></h3>
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A ramp is placed from a ditch to a main road 2ft. above the ditch. If the length of the ramp is 12ft, how far away is the bottom
Nadusha1986 [10]
See attached picture for solution:

6 0
3 years ago
I'm studying a new bacteria that doubles in numbers every 25 minutes. If i start with 50 bacteria, how long until i have 5 milli
dimaraw [331]

Answer:

415.63 minutes

Step-by-step explanation:

Growth can be represented by the equation A=A_0e^{rt}. We can find the rate at which it grows by using t=25 minutes and \frac{A_{0}}{A} =2 or double the amount at that time. The first step we always take is to divide A_0 by A.

[tex]\frac{A_{0}}{A}=e^{rt}\\2=e^{r(25)}

2=e^{(25)r}

To solve for r, we will take the natural log of both sides and use log rules to isolate r.

ln 2=ln e^{(25)r}\\ln 2=25r (ln e)\\\frac{ln2}{25} =r

We know lne=1 so we were able to cancel it out and divide both sides by 25.

We solve with a calculator \frac{ln2}{25} =r\\0.0277=r

We change 0.0277 into a percent by multiplying by 100 to get 2.77% as the rate.

The equation is A=A_0e^{0.0277t} .

We repeat the step above substituting A=5,000,000, A_0=50, and r=0.02777. Then solve for t.

5000000=50e^{0.0277t}\\\frac{5000000}{50} =e^{0.0277t}\\100000=e^{0.0277t}\\ln100000=lne^{0.0277t}\\ln100000=0.02777t(lne)\\\frac{ln100000}{0.0277} =t

t=415.63 minutes

6 0
3 years ago
Nathan has 102 solid-colored disks that are red.
Alex787 [66]

Answer:

blue = 35

green = 29

red = 38

Step-by-step explanation:

Let r = red

Let g = green

let b = blue

r + g + b = 102

r = b + 3

b = g + 6    Subtract 6 from both sides of the equation

b - 6 = g

===================

substitute for red and green

(b + 3) + b + b - 6 = 102

b + 3 + b + b - 6 = 102

Combine like terms

3b - 3 = 102

Add 3 to both sides

3b - 3 + 3 = 102 + 3

3b = 105

Divide by 3

3b/3 = 105/3

b = 35

======================

r = b + 3

r = 35 + 3

r = 38

=======================

g = b - 6

g = 35 - 6

g = 29

========================

3 0
2 years ago
Read 2 more answers
Simplify the expression (6x^3/3x^4)^2<br> A. 12x^5/6x^6<br> B. 4/x^2<br> C. 2x^6/x^8<br> D. 2/x
Bess [88]
The Answer is B.
Sol: (6/3x^(3-4))^2
= (2/x)^2
=4/x^2


8 0
2 years ago
Read 2 more answers
Please help Brainliest
zhannawk [14.2K]
The answer is B. Since the right angles is 90 degrees then the equation is 5x + 30 + 5x = 90. Please mark me Brainiest
6 0
2 years ago
Read 2 more answers
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