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3 years ago

Can someone help please!!!!

Mathematics

1 answer:

lara [203]3 years ago

8 0

Answer:

1000 * $3^{9}$ Bacteria after 18 hours,

Step-by-step explanation:

The condition given in the problem is that the number of bacterial triple after every 2 hours.

So, after 2 hours, total bacteria= 1000 * 3

So, after 4 hours, total bacteria= 1000 * 3 * 3

Therefore, the general format for the number of bacteria is 1000 * $3^{n}$ , where n is the number of times the bacteria has tripled.

In 18 hours, there are $\frac{18}{2}$ ties that the bacteria has tripled.

Therefore, the no. of bacteria after 9 hours= 1000 * $3^{9}$

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Which of the following expressions are equivalent? Justify your reasoning,

marshall27 [118]

Answer:

B and D

Step-by-step explanation:

Anything to a negative power means that it is 1/that to the positive power.

E.g. x^-1 = 1/x^1

In other words, anything to the power of a negative switches sides of a fraction (i.e. if in numerator moves to denominator and vice versa.)

1/x^-1 = 1/1/x^1 which is just equal to x, because there are x number of 1/xs in one (1/x * x =1) Therefore Option B is equal to just x.

D: (assuming the first given term is x^1/3 and not X1/3 (?) Correct me if I'm wrong).

x^1/3 * x^1/3 * x^1/3 is also equal to just x.

This is because when multiplying together terms with the same base (x in this case) the exponents just add together, so:

x^1/3 * x^1/3 * x^1/3 = x^(1/3 +1/3 +1/3) = x^1 = x.

Therefore B and D are equivalent because they both equal x.

Hope this helped!

7 0

3 years ago

Determine ƒ(a + h) for ƒ(x) = 2x3.

Kazeer [188]

F(a+h)=2(a+h)³=2(a³+3a²h+3h²a+h³)
the second choice is the correct answer.

4 0

3 years ago

Write an equation in slope intercept form for the line that travels through (1,-2) and (6,8)

MariettaO [177]

Answer:

y=2/1x

Step-by-step explanation:

Subtract (6,8) by (1, -2)

8--2/6-1=10/5

Simply

10/5=2

Plug in

y=2x

3 0

3 years ago

PLS HELP. 16points. Please number your responses to the questions as they are shown (1 and 2).

anastassius [24]

I recommend using photomath

5 0

3 years ago

Nazerhy deposits $8,000 in a certificate of deposit. The annual interest rate is 6%, and the interest will be compounded monthly

Likurg_2 [28]

Answer:

$A=\$14,555.17$

Step-by-step explanation:

we know that

The compound interest formula is equal to

$A=P(1+\frac{r}{n})^{nt}$

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest in decimal

t is Number of Time Periods

n is the number of times interest is compounded per year

in this problem we have

$t=10\ years\\ P=\$8,000\\ r=6\%=6/100=0.06\\n=12$

substitute in the formula above

$A=8,000(1+\frac{0.06}{12})^{12*10}$

$A=8,000(1.005)^{120}$

$A=\$14,555.17$

4 0

4 years ago