Order this set of integers from greatest to least:


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Answer:

Step-by-step explanation:

4,800 mcg × 0.5^t = 300 mcg

0.5^t = 1/16 = (1/2)⁴

t = 4

Answer:

[tex]4,800\left(\frac{1}{2}\right)^{t} \, = \, 300; \ 3 \ \text{hours}[/tex]

Step-by-step explanation:

Every hour, the research assistant is removing half the mass from the original 4,800 micrograms of the bacteria culture. So, the mass remaining after t hours can be represented by an exponential expression, a(b)t, where a is the initial mass of the bacteria culture and b is the base of the exponent that represents the decay factor. Since half of the mass of bacteria is being removed every hour, half of the mass remains. So, b = [tex]\frac{1}{2}[/tex]. The exponential expression for this situation is [tex]4,800\left(\frac{1}{2}\right)^{t}[/tex].

The research assistant will stop removing half the mass from the original bacteria culture after the original bacteria culture has a mass of 300 micrograms. Hence, set the expression for the mass remaining after t hours equal to 300.

[tex]4,800\left(\frac{1}{2}\right)^{t} \, = \, 300[/tex]

In order to solve this equation for t, the base needs to be isolated. Divide both sides of the inequality by 4,800.

[tex]\begin{array}{rclC40C40} 4,800\left(\frac{1}{2}\right)^{t} &=& 300\\ \left(\frac{1}{2}\right)^{t} &=& \frac{1}{16} \end{array}[/tex]

Next, rewrite the base of [tex]\frac{1}{16}[/tex] as a power of [tex]\frac{1}{2}[/tex]. Then, set the exponents equal to each other to solve for t.

[tex]\begin{array}{rclC40C40C30} \left(\frac{1}{2}\right)^{t} &=& \frac{1}{16} \\ \left(\frac{1}{2}\right)^{t} &=& \left(\frac{1}{2}\right)^{4} \\ t &=& 4 \end{array}[/tex]

So, after 4 hours the research assistant will stop removing half the mass of the bacteria culture.

Answer:

neat

Step-by-step explanation:

Answer:

Part A: 5-40

6-48

8-64

7-56

Part b:

1-9

5-45

6-54

8-72

Part c:

Theme park

5-45

Mowing lawns

5-40

$5

Step-by-step explanation:

Part A: 5x8=40

6x8=48

8x8=64

56/7=8

Part C: Every 5 hours working at the theme park she earns 45 dollars, when mowing lawns she earns 40 dollars 45-40 equal $5 extra dollars at the theme park.

Answer:

50

Step-by-step explanation:

because 50 pints

Answer:

50

Step-by-step explanation:

Answer:

90

Step-by-step explanation:

60%-> 54

100%-> 90

There are 90 students vote in the election.

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

To Calculate the percent of a number , divide the number by whole number and multiply by 100

Given that

In a student council election, Kyle receives 54 votes for president.

Now,

Let total student votes in election = x

Hence we can formulate

60% of x = 54  

60/100 × x = 54

60x = 5400

x = 90

Therefore,  There are 90 student votes in the election.

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Answer:

A square is always a rectangle

Step-by-step explanation:

Answer:

B, D, F

Yes, this is the answer

Answer:

it's A

Step-by-step explanation:

look at the bolded line, it's after 4.4 which would mean z> 4.4

Answer:

A

Step-by-step explanation:

so we have a less than sign, which immediately tells us this going to be going left as 4.4 is greater. and obviously since the number is 4.4, the graph will have targeted that number. Hope this helps!

Answer:

The bottom surface of the glass container will be covered a quarter of the way on March 8th.

Step-by-step explanation:

The bacteria covering the bottom surface of the glass container doubles every day. If the surface is completely covered on March 10th, then one day earlier, on March 9th, half of the surface is covered.

Similarly, if half of the surface is covered on March 9th, then one day earlier, on March 8th, a quarter of the surface is covered.

Therefore, the bottom surface of the glass container will be covered a quarter of the way on March 8th.

The bottom surface of the glass container will be covered a quarter of the way on March 8th.

The opposite of an exponential function is a logarithmic function. A log function and an exponential function both use the same base. An exponent is a logarithm. f(x) = b^x is how the exponential function is expressed. The formula for the logarithmic function is f(x) = log base b of x.

The microorganism protecting the lowest floor of the glass box doubles each day. If the floor is absolutely protected on March 10th, then in the future earlier, on March 9th, 1/2 of the floor is protected.

Similarly, if 1/2 of the floor is protected on March 9th, then in the future earlier, on March 8th, 1 / 4 of the floor is protected. Therefore, the lowest floor of the glass box can be protected 1 / 4 of the manner on March 8th.

Therefore, the bottom surface of the glass container will be covered a quarter of the way on March 8th.

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Answer:

60 cents for 1 pound

Step-by-step explanation:

2 pounds = $1.20

1 pound =  60 cents

Answer:

sorry didnt mean to answer

edit: it should be around 45

Answer:

B

Step-by-step explanation:

We know that when x=0 y=5

B and D are the only ones that meet this criteria

we know that when x=2 y= 13 or so

D no longer works

it has to be B

Answer: You should get 0.68 back

Step-by-step explanation: I just did a test and got 100%

Answer:

3 $0.16 = $0.48

or

4 $0.25 = $1.00 hope this helps

Step-by-step explanation:

8k - 6 = 10k + 6

K= -6

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    8*k-6-(10*k+6)=0

Step by step solution :

STEP

1

:

Pulling out like terms

1.1     Pull out like factors :

  -2k - 12  =   -2 • (k + 6)

Equation at the end of step

1

:

STEP

2

:

Equations which are never true:

2.1      Solve :    -2   =  0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation:

2.2      Solve  :    k+6 = 0

Subtract  6  from both sides of the equation :

   Which gives k = -6

Answer: K = -6

Step-by-step explanation:

When you add or subtract on one side, you have to do the same to the other side. You also have to get all the numbers with vairables on one side, and the ones without on the other side.

When you have a positive number, if you want to bring it to the other side, you have to subtract it. For example, if you want to bring 8k from the left side onto the right side, you have to subtract 8k from a number on the right side.

For this equation, lets bring all the numbers with vairables onto one side, and the ones without vairables on the other side. The ones with vairables will be on the left, and the numbers without will be on the right.

To bring 10k from the right side to the left, we have to subtract 10k from 8k. 8k - 10k = -2k.

Now we have to bring the -6 from the left side onto the right side. Since -6 is a negative number, we have to make it into a positive number to swap it to the other side. So it because 6. We add 6 to -6, and 6 to 6. The leaves the left side to be -2k, and the right side to be 12.

Now we have to divide. 12 ÷ -2 = -6. Therefore, k = -6. I hope this helps, and good luck on whatever you're doing :D

Answer:

24 Blocks

Step-by-step explanation:

Answer:

m=10

Step-by-step explanation:

-10 is 10 away from zero which is what the lines are asking for

Answer:

Step-by-step explanation:They are essentially the same equation. Andre's equation is the same as Peter's, just all the numbers are multiplied by 4. Both equations have the same answer, which is 13/6, or 2.167

Step-by-step explanation:

the value of 1³ is 1* 1*1 = 1

Hope it will help :)

Answer:

−3y2−8y−12

Step-by-step explanation:

Let's simplify step-by-step.

−5y2−9y−4−(−2y2−y+8)

Distribute the Negative Sign:

=−5y2−9y−4+−1(−2y2−y+8)

=−5y2+−9y+−4+−1(−2y2)+−1(−y)+(−1)(8)

=−5y2+−9y+−4+2y2+y+−8

Combine Like Terms:

=−5y2+−9y+−4+2y2+y+−8

=(−5y2+2y2)+(−9y+y)+(−4+−8)

=−3y2+−8y+−12

Answer:

[tex]-3y^2-8y-12[/tex]

Step-by-step explanation:

Simplify each term.

[tex]-5y^2-9y-4+2y^2+y-8[/tex]

Simplify by adding terms.

[tex]-3y^2-8y-12[/tex]

hope this helps :)

Answer:

Y axis is correct :))

Step-by-step explanation:

Answer:

many solutions

Step-by-step explanation:

3×2k=????

3×5=??

6×k=??

6×4=??

then put all those together in a 2 step equation and then add 9 to the answer

The equation 3(2k-5)=6(k-4)+9 has infinitely many solutions.

Two or more expressions with an Equal sign is called as Equation.

3(2k-5)=6(k-4)+9

In the given equation k is the variable

Now apply distributive property to the RHS and LHS wherever it is required

6k-15=6k-24+9

6k-15=6k-15

Shift all terms to one side

6k-15-6k+15=0

0=0

Hence the equation 3(2k-5)=6(k-4)+9 has infinitely many solutions.

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Answer:

10^35=6

Step-by-step explanation:

All you need to remember is the picture above and you could do it.

3x²-5x+2=0

d = b²-4ac

d = (-5)²-4(3)(2)

d = 25-24

d<1

By quadratic formula

x = 5+1/6,5-1/6

x= 1,2/3

Answer:

If your polynomial is x^2+x-30, then your answer is (−5)(+6)

the correct answer is A) 10x + 30

Answer:

The answer is "10x+30"

Step-by-step explanation: