Answer:
you wouldn't get to many unless every time you roll you get an odd number and if you end up with that you can expect to get a number counted by 3 at least 6 times
Every hour, a research assistant removes half the mass of a bacteria culture originally weighing 4,800 micrograms to observe under a microscope. The research assistant will stop this process once the mass is equal to 300 micrograms.
Which equation represents this situation, and after how many hours will the research assistant stop removing half the mass of the bacteria culture?
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.
What is the zero of the function ?
Answer:
The zero of a function is any replacement for the variable that will produce an answer of zero. Graphically, the real zero of a function is where the graph of the function crosses the x‐axis; that is, the real zero of a function is the x‐intercept(s) of the graph of the function.
Step-by-step explanation:
8k - 6 = 10k + 6
No idea how to figure this out
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
Michelle is purchasing a new picture frame to hang in her bedroom. The picture frame is square shaped. What is the area of the interior of the picture frame in terms of c and d?
Your cousin borrows $1125 to repair her car. The simple annual interest rate is 10%. She makes equal monthly payments of $25. How many years will it take to pay off the loan?PLEASE EXPLAIN. I know interest =. principal times rate times time
Answer:
neat
Step-by-step explanation:
what function equation is represented by the graph
f(x) = 4^x+5
f(x) = 3^x+4
f(x) = 3^x+5
f(x) = 4^x+4
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
David keeps records of his monthly earnings. Last month he worked 140 hours and earned $3700. This month he worked 120 hours and earned $3200. Part A: what is David's rate of pay?
solve 3x^2-5x+2=0 by using the quadratic formula
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
please help on this one.
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!
3(2k-5)=6(k-4)+9
Determine whether the equation has one solution, no solution, or infinitely many solutions
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.
What is Equation?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.
To learn more on Equation:
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Factorise x2 + x - 30
Answer:
If your polynomial is x^2+x-30, then your answer is (−5)(+6)
How to write log6(35) in exponential form?
Answer:
10^35=6
Step-by-step explanation:
All you need to remember is the picture above and you could do it.
I need help with this please
the correct answer is A) 10x + 30
Answer:
The answer is "10x+30"
Step-by-step explanation:
What is the value of (1)³ ?
Step-by-step explanation:
the value of 1³ is 1* 1*1 = 1
Hope it will help :)
Please help me solve |m| = -10.
Answer:
m=10
Step-by-step explanation:
-10 is 10 away from zero which is what the lines are asking for
(-5y^2-9y-4)-(-2y^2-y+8)
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 :)
Help me plzzz I will give the Brainliest!!!
Answer:
24 Blocks
Step-by-step explanation:
Which choices are equivalent to the expression below? Check all that apply.
✓116•✓19
A. ✓116.9
B. 12
C. ✓4•✓4•✓3•✓3
D. ✓144
E. ✓25
F. 4•3
Answer:
B, D, F
Yes, this is the answer
HURRY PLEASE! AT LEAST ONE PARAGRAPH! Describe in words how to find the surface area of a cylinder if the radius is 5cm and
height is 18cm.
Answer:
722.57cm²
Step-by-step explanation:
Below, we have listed six basic equations that can be used to derive the explicit formulas of radius of a cylinder:
Volume of a cylinder: V = π * r² * h ,
Base surface area of a cylinder: A_b = 2 * π * r² ,
Lateral surface area of a cylinder: A_l = 2 * π * r * h ,
Total surface area of a cylinder: A = A_b + A_l ,
Surface Area of Cylinders. To find the surface area of a cylinder add the surface area of each end plus the surface area of the side. Each end is a circle so the surface area of each end is π * r2, where r is the radius of the end. There are two ends so their combinded surface area is 2 π * r2.
The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm. Substitute 8 for r and 15 for h in the formula V=πr2h . ... Therefore, the volume of the cylinder is about 3016 cubic centimeters.
You Can Use Some Of These Points
Which expression is equivalent to 3x + 3 x + 3x
3x3
9x
9x3
27x
Pls help I have today to finish this
Answer:
50
Step-by-step explanation:
because 50 pints
Answer:
50
Step-by-step explanation:
Select the correct answer. A sample of a certain type of bacteria is enclosed in a glass container on March 1st. The sample of bacteria starts to grow and cover the bottom surface of the container in such a way that the area covered by the bacteria doubles every day. If it continues to grow in this way, the bottom surface of the glass container will be entirely covered with the bacteria on March 10th. When will a quarter of the bottom surface of the glass container be covered? The bottom surface of the glass container will be covered a quarter of the way on March 9th. The bottom surface of the glass container will be covered a quarter of the way on March 6th. The bottom surface of the glass container will be covered a quarter of the way on March 7th. The bottom surface of the glass container will be covered a quarter of the way on March 8th.
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.
What is an exponential function?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.
Learn more about exponential functions here:
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Suppose you buy 2 marbles for $0.16 each. You pay for it with 4 quarters. How much change should you get back? Enter your answer.
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:
Each student wrote a two-step equation. Peter wrote the equation 6x − 3 = 12, and Andres wrote the equation 24x − 12 = 48. The teacher looked at their equations and asked them to compare them. Complete the description of one way in which the equations are similar.
To get Andres' equation, you can multiply every number in Peter's equation by
__.
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
Barbara has a part-time lawn-mowing job. The table below shows the amount of money Barbara earned for different numbers of hours of work:
Barbara's Earnings from Lawn Mowing
Number of Hours Worked Money Earned (dollars)
5 40
6 48
8
56
Part A: What are the missing numbers in the table? Show your work.
Part B: Barbara also works part time at a theme park. The ratio of the number of hours Barbara works at the park to the money she earns in dollars is 1:9. Create a table to show the money earned by Barbara for 5, 6, and 8 hours of work at the theme park.
Part C: How many more dollars does Barbara earn working at the theme park for 5 hours than mowing lawns for 5 hours? Show your work.
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.
On a coordinate grid, point A is at (−2.0, −3.4) and point B is at (2.0, −3.4). Point B is a reflection of point A across the
–axis. Input either a lowercase x or y.
Answer:
Y axis is correct :))
Step-by-step explanation:
There are 12 triangles and 3 squares. What is the simplest ratio of
squares to triangles?
Answer:
4:1
Step-by-step explanation:
Both numbers are divisable by 3, so 12 devided by 3 is for and 3 devided by 3 is 1, which would get you 4 : 1
A round pizza was cut into 8 equal pieces. 7 pieces were eaten. What is the angle measure of the piece not eaten?
Answer:
sorry didnt mean to answer
edit: it should be around 45
I’m confused if someone can explain 15points
it costs James an initial 7 fee to ride a taxi. Plus 6S a minute. He ends up paying
$139. How many minutes did he ride the taxi for?