9514 1404 393
Answer:
7.28
Step-by-step explanation:
Consider the attachment. There, we have identified a point C that makes ABC a right triangle with the right angle at C.
The Pythagorean theorem gives you the relationship between side lengths of a right triangle. The square of the hypotenuse (longest side) is equal to the sum of the squares of the other two sides.
AB² = AC² +BC²
We can count grid squares to find the lengths of AC and BC. They are 2 units and 7 units, respectively. This means ...
AB² = 2² +7²
AB² = 2·2 +7·7 = 4 +49 = 53
When we know the square, we can find what it is the square of by taking the square root. Generally, a calculator is required for this.
AB = √53 ≈ 7.2801099
When we round this number to two decimal places (the nearest hundredth), we get ...
AB ≈ 7.28 . . . units
_____
Additional comments
You will notice that the length AC in the diagram is the difference of the x-coordinates of points A and B. Similarly, the length BC in the diagram is the difference of y-coordinates. Then the square AB² is the sum of the squares of these differences. The length AB is the square root of that sum.
In general, this is how you find the length of a line segment from its end point coordinates.
__
A little magic, perhaps: You may find that repeating the 11-digit number on the first line several times a day for a few days will help to moderate your difficulty understanding this. The numbers convey an energy that is intended to counteract the brain block that often arises when seeing a math problem.
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
How do we show 425/1000 as a decimal?
Answer:
0.425
Step-by-step explanation:
bro this is like 1st grade math
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
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:
https://brainly.com/question/4528178
#SPJ7
!! 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 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
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.
What is 5 * 5 * 2 * 2 * 2 in standard form
Answer:
50000 5000 200 20 2
Step-by-step explanation:
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!
100,000 less than five hundred sixty thousand,three hundred thirteen is __________.
Answer:
100,000>56,313 56, 56,313<100,000
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
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
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
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
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.
= 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.
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?
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
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 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
Elementary algebra 1/4 divided by 3 equals
Answer:
1/12
Step-by-step explanation:
multiply by three so 4x3 is 12 and that's 3 equal parts
Sets question with option answers. Help please
Answer:
best bet is 6
Step-by-step explanation:
Help please due today
Answer:
Base: 24 and height:6
Step-by-step explanation:
Answer:
Base: 24
Height: 6
Step-by-step explanation:
The question says a scale factor of 1/2 so divide by 2. It says scale back
so you know as well that your answer is going to get bigger.
Original Base = 48/2 or (48)x(1/2)
Original Height = 12/2 or (12)x(1/2)
find the value of a and b in (a,2)=(2,b)
Answer:
a=2 and b=2...............
A rental car agency charges $220 per week plus $0.15 per mile to rent a car. How many miles can you travel in one week for $352.00?
Answer:
880 miles
Step-by-step explanation:
352 - 220 = 132
132 ÷ 0.15 = 880
880 miles
Write a inequality please help.
a number is at least -43
Answer:
x≥ -43
Step-by-step explanation:
at least means greater than or equal to
Let x be the unknown number
x≥ -43
. Mr. Sheng is using a faucet attachment to fill the fish tank in his blology classroom. The graph below shows the amount of water in the
tank during the first several minutes since he turned on the faucet. What is the slope of a line joining the points on the graph? If your
answer is not an integer, express it as a decimal.
Answer:
8
Step-by-step explanation:
Slope = (change in y) / (change in x) = (y₂-y₁)/(x₂-x₁)
We have two points on the graph, (2, 16) and (6, 48)
Let's say (2, 16) = (x₁, y₁) ( there's no reason why (6, 48) can't be (x₁, y₁), but one of them has to be it) and (6, 48) = (x₂, y₂). Our slope is then
(y₂-y₁)/(x₂-x₁) = (48-16) / (6-2) = 32 / 4 = 8
find the value of xand y : x=2y and x+y=6
Answer:
y=2 x=4
Step-by-step explanation:
Substitute x with 2y so the second equation is 2y+y=6
Then simplify your new equation:
3y=6
y=2
If y=2 and x=2( 2) then x=4
Let f be a function defined on the set of positive rational numbers with the property that f(a · b) = f(a) + f(b) for all positive rational numbers a and b. Suppose that f also has the property that f(p) = p for every prime number p. For which of the following numbers x is f(x) < 0?
a. 17/32
b. 11/16
c. 7/9
d. 7/6
e. 25/11
