Answer:
n-7
Step-by-step explanation:
Seven fewer than a number means that you just subtract 7 from the original number.
A bacteria culture doubles every 5 hours. Determine the hourly growth rate of the bacteria
culture. Round your answer to the nearest tenth of a percent.
Answer:
10
Step-by-step explanation:
Using an exponential function, it is found that the hourly growth rate of the bacteria culture is of 14.9%.
------------------------
An exponential function has the following format:
[tex]A(t) = A(0)(1+r)^t[/tex]
In which:
A(0) is the initial amount.r is the hourly growth rate.------------------------
Since it doubles every 5 hours, it means that:
[tex]A(5) = 2A(0)[/tex]
And we use this to find r.
------------------------
[tex]A(t) = A(0)(1+r)^t[/tex]
[tex]2A(0) = A(0)(1+r)^5[/tex]
[tex](1 + r)^5 = 2[/tex]
[tex]\sqrt[5]{(1 + r)^5} = \sqrt[5]{2}[/tex]
[tex]1 + r = 2^{\frac{1}{5}}[/tex]
[tex]1 + r = 1.149[/tex]
[tex]r = 1.149 - 1 = 0.149[/tex]
0.149*100% = 14.9%.
The hourly growth rate of the bacteria culture is of 14.9%.
A similar problem is given at https://brainly.com/question/24218305
3√12•√6
please show a step by step explanation
Answer: [tex]18\sqrt{2}\\\\[/tex]
This is the same as saying 18*sqrt(2) or you could say 18√2
============================================================
Explanation:
We'll be using this square root rule: [tex]\sqrt{A}*\sqrt{B} = \sqrt{A*B}[/tex]
So we could have this as our steps:
[tex]3\sqrt{12}*\sqrt{6}\\\\3\sqrt{12*6} \ \text{ ... Apply the rule mentioned}\\\\3\sqrt{72}\\\\3\sqrt{36*2}\\\\3\sqrt{36}*\sqrt{2} \ \text{ ... Apply the rule again, but in reverse}\\\\3*6*\sqrt{2}\\\\18\sqrt{2}\\\\[/tex]
Therefore, [tex]3\sqrt{12}*\sqrt{6} = 18\sqrt{2}[/tex]
The basic idea is to first combine the roots using that rule. From there, we factor the radicand such that we pull out the largest perfect square factor. This will allow us to break the root apart and fully simplify it.
supposed f(x) = 2x+5 what is the value of -2f(x+1)? PLEASE THIS IS THE LAST QUESTION ILL GIVE A BRAINLIEST
Answer:
-4x+1-10
Step-by-step explanation:
-2(2x+5)=0
-4x-10=0
-4x+1-10=0
-4x-9=0
-4x=9
x=9/-4
x=-2,25
please inform if wrong
como escreve por extenso o número 380.210?
Answer: trescientos ochenta mil doscientos diez es,pero te ayude
!! MATH EMERGENCY !! Hey Can someone please help me Ill give as many points as i can and make brainiest i just really need help
Answer:
B
Step-by-step explanation:
it simplifies to [tex]x^{4}[/tex]
What is 50 divided by 8?
Answer:
6.25 or 6 2/8 or 6 R2
Step-by-step explanation:
Round 123,949 to the underlined point. 4 is highlighted
[tex]\\ \sf\longmapsto 123,949[/tex]
9 is greater than 5[tex]\\ \sf\longmapsto 123,95[/tex]
5=5[tex]\\ \sf\longmapsto 123,9[/tex]
9 is greater than 5[tex]\\ \sf\longmapsto 124[/tex]
4 is less than 5[tex]\\ \sf\longmapsto 12[/tex]
2 is less than 5[tex]\\ \sf\longmapsto 1[/tex]
Note
Write the number until underlined point.I did it till end
Answer:
The number is 123949 (or 123.949 in case comma stands for decimal)
According the rounding rule
if the number to the right is ≥ 5, round up the number to the left, otherwise leave as is, if decimal the number to the right drops, if whole number it is replaced with zeroRound to the number 4, the second number from the right:
123950or
123.95What is 5 * 5 * 2 * 2 * 2 in standard form
Answer:
50000 5000 200 20 2
Step-by-step explanation:
Ivan’s desserts made a batch of fresh scones with 4/5 of a pound of butter and 1/2 of a pound of sugar. How much more butter than sugar was used?
Find the y-intercept and x-intercept of the line. 5x-8y=14
Answer:
x-intercept = 14/5
y-intercept = 7/4
Step-by-step explanation:
To find the value of an intercept (x/y) of an equation like this, simply set the other variable to 0 and divide both sides by the coefficient of the variable you're trying to find.
= Introduction to elapsed time Keiko started washing at 7:28 AM and finished at 8:46 AM. How long did it take her? Give your answer in hours and minutes. min X Х o ?
Answer:
Step-by-step explanation:
At 8:28 exactly one hour had gone by.
To get to 8:46 you need to add on almost 20 minutes. which would bring it up to 8:48. Since you are 2 minutes short from :46 to :48, the correct number of minutes is 18 (48 - 2)
Answer: 1 hour and 18 minutes.
State the domain and range of the following function.
{(1, 3), (2,7), (- 3,4), (- 2, 3), (5,4)}
Answer:
okay
Step-by-step explanation:
3 and (5 + 1 + 3)
What is the answer
Answer:
27
Step-by-step explanation:
3(5+1+3) distribute
15+ 3+ 9 add
27
HELP PLS!! D:
The net of a rectangular prism is shown below. What is the total surface area of this prism?
A. 112 cm²
B. 142 cm²
C. 105 cm²
D. 71 cm²
=========================================================
Explanation:
Think of unwrapping a present and doing so without any unnecessary tearing. That means there aren't any little small pieces thrown away. There are many ways to unwrap a 3D box, and this diagram shows one of many ways. This flat layout is the 2D version of the 3D surfaces.
To find the surface area of the 3D figure, we simply need to find the area of each rectangle in this 2D flat net. Once we know all the little areas, we add them up to get the surface area.
------------------------------
The lowest rectangle is 3 cm by 5 cm, so its area is 3*5 = 15 cm^2. Let A = 15 so we can use it later.
Let's move to the middle row of four rectangles. From left to right, we have these four rectangular areas
3*7 = 21 cm^25*7 = 35 cm^23*7 = 21 cm^25*7 = 35 cm^2I'll call these results B,C,D,E in the order given above. So B = 21, C = 35, etc.
The rectangle up top has area of 3*5 = 15 cm^2. I'll let F = 15
Lastly, we'll add up the sub-areas to get the grand total
A+B+C+D+E+F = 15+21+35+21+35+15 = 142 cm^2 is the surface area
------------------------------
Another pathway to the answer:
If you can picture how this flat diagram would fold up, then you would see that we'd get a 3D block with the following dimensions
L = 7 cmW = 5 cmH = 3 cmThe order of L,W,H doesn't really matter.
Then we can use the 3D block surface area formula like so
SA = 2*(LW + LH + WH)
SA = 2*(7*5 + 7*3 + 5*3)
SA = 2*(35 + 21 + 15)
SA = 2*71
SA = 142 cm^2 is the surface area
As you can see from the third step, we have "35", "21" and "15" show up again. The 2 out front is because we have 2 copies of each item mentioned.
The graph of f(x) = 3x + 8 is shown.
Which statement is true?
ТУ
3
f(x)
O The function is only increasing when x2-8.
O The function is only increasing when x 20.
O The function is always decreasing.
O The function is always increasing.
-16
-12
8
X
-2
3
Answer:
the function is always increasing
Step-by-step explanation:
if you look at the graph, as x increases, y increases, no matter how small the increase
Here is the histogram of a data distribution.
10
8
7
What is the shape of this distribution?
A. Unimodal symmetric
B. Bimodal skewed
C. Uniform
O D. Bimodal symmetric
O E. Unimodal skewed
Answer:
Step-by-step explanation:
Some form of symetric i think....
The best describes the shape of this distribution is Unimodal symmetric.
What is Unimodal symmetric?A unimodal distribution is a distribution that has one clear peak. The values increase first, rising to a single highest point where they then start to decrease. A unimodal distribution can either be symmetrical or non-symmetrical. A symmetrical distribution is one where the mean, mode, and median are all equal.
Given is a histogram, we have to find the shape of this distribution,
Since, we can see that the graph only has a hump with equal distribution either side of the hump, which can say that the graph is a Unimodal symmetric
Therefore, the given distribution is Unimodal symmetric as the distribution has 1 hump.
Know more about Unimodal symmetric here:
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Helpp
Ok I don’t know how they got 3y-24
Answer:
y = -5/3x + 3
Step-by-step explanation:
First lets turn the equation from standard form to slope intercept form.
3x - 5y = 1
~Subtract 3x to both sides
-5y = 1 - 3x
~Divide -5 to everything
y = -1/5 + 3/5x
~Reorder
y = 3/5x - 1/5
Now that we have the equation in slope intercept form, we can find the new equation. A perpendicular line will have the opposite reciprocal of the original slope.
3/5x -> -5/3x
Now that we have the slope, we can use the given point to find the y-intercept.
y = -5/3x + b
8 = -5/3(-3) + b
8 = 5 + b
3 = b
Put all the information we solved for into a final equation.
y = -5/3x + 3
Best of Luck!
Solve (x - 2 < 5) ∩ (x + 7 > 6).
Ø
{x | x < -1 x < 7}
{x | -1 < x < 7}
x - 2 < 5 ⇒ x < 7
x + 7 > 6 ⇒ x > -1
Together, we have -1 < x < 7, which in set notation is
[tex]\left\{x \mid -1 < x < 7\right\}[/tex]
(third choice)
What is the answer to |-2|+|-3|
Answer:
5
Step-by-step explanation:
the absolute value of -2 is 2
the absolute value of -3 is 3.
Since the question is adding the absolute values, the answer is 5
A man drove 13 miles directly east from his home, made a left turn at an intersection, and then traveled 9 miles due north to his place of work. If the road was made as described above, how much shorter would the man’s one-way trip be every day?
Answer:
ANSWER 5.3 miles
See IMAGE FOR SOLUTION
How do we show 425/1000 as a decimal?
Answer:
0.425
Step-by-step explanation:
bro this is like 1st grade math
Ruben needs to read 4 novels each month let N be the number of novels Ruben needs to read in M months write an equation relating in to M
Answer:
Step-by-step explanation:
N = 4(12) = 48 novels
100,000 less than five hundred sixty thousand,three hundred thirteen is __________.
Answer:
100,000>56,313 56, 56,313<100,000
1. If x = y and x + 2y = 6 then find value of 'y'.
T
Step-by-step explanation:
x=y
x+2y=6
y+2y=6
3y=6
y=2
Step-by-step explanation:
x=y
x+2y=6
y+2y=6
3y=6
y=2
Follow the instructions to find out what number you end up with.
=========================================================
Explanation:
"Decrease the number by 4 tenths" means we're subtracting off 0.4"Increase the number by 8 thousandths" means we're adding 0.008"Increase the number by 2 tens" is the same as adding on 2*10 = 20The changes of this number are
-0.4+0.008+20The overall net change is -0.4+0.008+20 = 19.608
We'll be adding this net change to the original number
143.351 + 19.608 = 162.959
This value is exact and hasn't been rounded.
Are the following sets of points coplanar? 8. E, B, and F 9. DB and FC 10. AC and ED 11. AE and Dc 12. F, A, B, and C 13. F, A, B, and D 15. FB and BD 14. plane Q and EC
Answer: 8.EB and F: yes
9.DB and FC:no
10.AC and ED:yes
11.AE and DC:yes
12.F,A,B and C:yes
13.F,A,B and D:no
14.plane Q and EC:yes
15.FB and BD:yes
Step-by-step explanation:
hope this helps have a good day!
what are the ways to name the plane Q?
9514 1404 393
Answer:
(f) Plane CEA or Plane CAD
Step-by-step explanation:
The name must include three points that are in the plane and not all on the same line. That is, the name will not include either of points B or F, and must include point C. The only names listed that are appropriate are ...
Plane CEA or Plane CAD
5 times some number added to 8 amounts to 10 added to the product of 3 and the number
How do you solve this
9514 1404 393
Answer:
the number is 1
Step-by-step explanation:
First of all, you need to know what you're solving. Here, we assume you're trying to find "the number."
__
Let n represent "some number." The given relation can be written using math symbols as ...
5n +8 = 10 +3n
Subtract 3n +8 from both sides to separate the variable and the constant terms.
2n = 2
n = 1 . . . . . . . divide by 2
The number is 1.
__
Check
5 times 1, added to 8 is 13. This amounts to the same thing as 10 added to the product of 3 and 1.
The Sunshine Cleaning service can vacuum 8 square yards of flooring every 4 minutes. Which graph includes ordered pairs that represent this relationship?
Answer:
It's the second graph, I circled it in blue
test the validity of the following whenever he participates in a race, he is the winner. either he participates in the race or he is sick he is not the winner. therefore he is sick
The test of validity is used to determine whether a claim is true or not, based on certain condition(s).
The validity of the given statement is true.
From the question, the given condition is:
Whenever he participates in a race, he is the winner
This can be interpreted as follows:
He wins all races he participates in.He doesn't win a race he doesn't participate in.So, if he is sick; it means that he does not participate in the race and as such he is not the winner.
Hence, the validity of the following statement is true
"Either he participates in the race or he is sick he is not the winner, therefore he is sick."
Read more about test of validity at
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