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3 years ago

8x ≥ -32 is the answer A. x ≥ 4 B. x ≥ 4 C. x ≥ -4 D. x ≤ -4

Mathematics

1 answer:

kotegsom [21]3 years ago

3 0

Answer:

$x \geq -4$

Step-by-step explanation:

$8x \geq -32$

$x \geq - \frac{32}{8}$

$x \geq -4$

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Bt= 8500 *(8/27)^t/3After a special medicine is introduced into a Petri dish full of bacteria, the number of bacteria remaining

ozzi

Answer:

Every 1.71 seconds, the bacteria loses $\frac{1}{2}$

Step-by-step explanation:

Given

$B(t) = 8500 * (\frac{8}{27})^\frac{t}{3}\\$

Required [Missing from the question]

Every __ seconds, the bacteria loses $\frac{1}{2}$

First, we model the function from t/3 to t.

$B(t) = 8500 * (\frac{8}{27})^\frac{t}{3}\\$

Apply law of indices

$B(t) = 8500 * (\frac{8^\frac{1}{3}}{27^\frac{1}{3}})^t$

Evaluate each exponent

$B(t) = 8500 * (\frac{2}{3})^t$ --- This gives the number of bacteria at time t

At time 0, we have:

$B(0) = 8500 * (\frac{2}{3})^0$

$B(0) = 8500 * 1$

$B(0) = 8500$

Let r be the time 1/2 disappears.

When 1/2 disappears, we have:

$B(r) = \frac{B(0)}{2}$

$B(r) = \frac{8500}{2}$

$B(r) = 4250$

So, we have:

$B(t) = 8500 * (\frac{2}{3})^t$

Substitute r for t

$B(r) = 8500 * (\frac{2}{3})^r$

Substitute $B(r) = 4250$

$4250 = 8500 * (\frac{2}{3})^r$

Divide both sides by 8500

$\frac{4250}{8500} = (\frac{2}{3})^r$

$\frac{1}{2} = (\frac{2}{3})^r$

Take log of both sides

$log(\frac{1}{2}) = log (\frac{2}{3})^r$

Apply law of logarithm

$log(\frac{1}{2}) = r\ log (\frac{2}{3})$

Make r the subject

$r = log(\frac{1}{2}) / log (\frac{2}{3})$

$r = \frac{-0.3010}{-0.1761}$

$r = 1.71$

Hence, it reduces by 1/2 after every 1.71 seconds

6 0

3 years ago

Find the measure of angle A 60 300 90 120

labwork [276]

Answer:

120°

Step-by-step explanation:

$m\angle A = \frac{1}{2} \{(360 - 60) \degree - 60 \degree \} \\ \\ m\angle A = \frac{1}{2} \{300 \degree - 60 \degree \} \\ \\ m\angle A = \frac{1}{2} \{240\degree\} \\ \\ m\angle A = 120 \degree$

5 0

3 years ago

X + (2x + 5) = 3(x – 4)+7

eduard

Answer:

Not true

Step-by-step explanation:

x + (2x + 5) = 3(x – 4)+7

Opening bracket on left and side and distributing 3 over (x-4) on right hand side

x+2x+5=3x-3 x 4 + 7

adding like terms

3x+5=3x-12+7

3x+5=3x-5

Hence

5 = -5

Which is not possible , Hence the equation given to us is false.

5 0

3 years ago

M/-5 = 4 one or two step equation

lana [24]

Answer:

I think it is one-step because when solving it all you have to do is multiply -5 by -5 to get the answer. m= -20

8 0

3 years ago

Explain the steps you would take to write 36/10 as a decimal

klemol [59]

1. Multiply 36/10*10/10 because the denominator needs to be 100 (because %= 100)

example: 36/10*10/10=360/100

2. now you have your answer :D

Hope this helps!

4 0

3 years ago