let's solve for f :
[tex] \dfrac{1}{f} = \dfrac{1}{a} + \dfrac{1}{b} [/tex][tex] \dfrac{1}{f} = \dfrac{b + a}{ab} [/tex]Taking reciprocal of both sides :
[tex]f = \dfrac{ab}{a + b} [/tex]840/1152 simplified please
[tex] \bf \frac{840}{1152}^{(4} = \frac{210}{288}^{(6} = \frac{35}{48}[/tex]
Hello!
[tex]\frac{840}{1152}[/tex]
Divide by 2:
[tex]\frac{420}{576}[/tex]
Divide by 2 again because the fraction is not in its simplest form:
[tex]\frac{210}{288}[/tex]
Divide by 2 again:
[tex]\frac{105}{144}[/tex]
Divide by 3:
[tex]\frac{35}{48}[/tex]
And we are done! Hope this helps!
~Just a joyful teen
[tex]SilentNature\\(GraceRosalia)[/tex]
What property of addition is illustrated in the equation below.
1/4 + 23/28 - 1
please help
Answer:
[tex]\frac{1}{14}[/tex]
Step-by-step explanation:
[tex]\frac{1}{4} + \frac{23}{28} - 1 = ?[/tex]
First off, let's change everything to a common denominator. This will allow us to add the fractions!
To find a common denominator, we find a number that both 4, 28, and 1 can go into. 28 is the best choice, as 4 goes into it 7 times, 28 goes into it once, and 1 goes into it 28 times.
Let's change the first fraction into a number with a denominator of 28!
[tex]\frac{1}{4} * \frac{7}{7} = \frac{7}{28}[/tex]
[tex]\frac{7}{7}[/tex] = 1. Multiplying a number by one doesn't change its value.
The second fraction, [tex]\frac{23}{28}[/tex], already has a denominator of 28, so we don't have to do anything with it.
Now to the third number, -1:
[tex]-1 = -\frac{1}{1} * \frac{28}{28} = -\frac{28}{28}[/tex]
Now, let's add them all up!
[tex]\frac{7}{28} + \frac{23}{28} - \frac{28}{28} = \frac{7 + 23 - 28}{28} = \frac{2}{28}[/tex]
One last step, to simplify:
[tex]\frac{2}{28} = \frac{1}{14}[/tex]
Your answer is 1/14!A student would like to estimate the height of a statue. The length of the statue's right arm is 51 feet. The student's right arm is 2 feet long and her height is 5
1
3 feet. Use this information to estimate the height of the statue. How close is the approximate height to the statue's actual height of 135 feet, 3 inches from heel to top of head?
I got a.
13 feet
b. What is the difference between the appoximate height of the statue and its actual height?
Answer:
FEET
Step-by-step explanation:
A sequence is defined recursively by
a1=4
an=34an−1
What is the explicit form of this sequence?
9514 1404 393
Answer:
an = 4×34^(n-1)
Step-by-step explanation:
If your recursive definition is ...
[tex]\begin{cases}a_1=4\\a_{n}=34a_{n-1}\end{cases}[/tex]
this defines a geometric sequence with a first term a1 = 4 and a common ratio of r = 34. The general form of the explicit function is ...
[tex]a_n=a_1\times r^{n-1}[/tex]
For the values shown here, the explicit definition of the sequence is ...
[tex]\boxed{a_n=4\times 34^{n-1}}[/tex]
What i want to know is.. why is that possible?
And, why we could add the two inequalities together down side there ??
Answer: Explanation below.
Step-by-step explanation: A good question, since working with inequalities and using the same operations as with "=" equations is a bit uncomfortable. I don't have a mathematical proof for this operation, but approach it with a "Why not?" attitude. If 9>6 and 130 > 30, why wouldn't 139>36? There is nothing in the add operation that should upset the basic inequality. I suggest https://www.storyofmathematics.com/inequalities-math for more information.
How many dots are in the 5th step?
Answer:
add 5 + 4, which is 9 and that's 81 dots
What’s three-and-two-fifths times three-and-one-fourth?
Answer:
Answer is 221/20
Step-by-step explanation:
if we solve 3 2/5 × 3 1/4
then we will get 221/20.
10.com
Leg, width
and height
Answer:
volume = length × breadth × height
v = l × b × h
= 6 × 7 × 10
= 420 cm³
so the volume of the cubeoid is 420 cm³
Step-by-step explanation:
brainliest plz
Which of these statements is true?
Answer:
3rd one
because they r right angles and congruent to each other and for right angle its is used HS postulate
Which expression has a value located to the right of 1 on the number line?
A - 1-7
B. 1 - 7
C. -7 - 1
D. 7 + 1
Answer:
The correct answer is D
Step-by-step explanation:
because a, b, and c all equal a negative which goes on the left side of 1 but d is the only one that equals a positive number which goes on the right side of
Correct me if I'm wrong
Please give thanks
Can you please help me with#7?I don't know how to find the answer.
Part A
The equation is g = -2.5m + 20
The +20 represents us starting with 20 gallons. The -2.5m portion indicates losing 2.5 gallons per minute. So after m minutes, we'll have -2.5m+20 gallons left.
The smallest m can be is m = 0
Let's plug in g = 0 and solve for m to find the largest possible m value
g = -2.5m + 20
-2.5m + 20 = g
-2.5m + 20 = 0
-2.5m = -20
m = (-20)/(-2.5)
m = 8
At the 8 minute mark is when g = 0. So this is when the tub is completely empty. We cannot go beyond this point because g would become negative. So m = 8 is the largest m can get.
This means m is between 0 and 8, including both endpoints.
The domain is [tex]0 \le m \le 8[/tex]
The domain is continuous because the number of minutes is continuous. We cannot have a jump in time from something like m = 1 to m = 2 without values in between. In other words, to go from m = 1 to m = 2, we need to pass by something like m = 1.5
No matter what two values you pick in the interval mentioned, there is always going to be some midpoint and infinitely many other values to deal with.
-------------------------
Answers:
Domain: [tex]0 \le m \le 8[/tex]The domain is continuous======================================================
Part C
See the graph below. The table is included as well.
To generate the table, we select values of m from the domain found earlier. I'm using whole numbers for m, but you can use any real number you want from that interval.
Let's say we picked m = 2
That would mean,
g = -2.5m + 20
g = -2.5*2 + 20
g = -5 + 20
g = 15
So at the 2 minute mark, the tub will have 15 gallons left. That means we'll have a row with m = 2 and g = 15 pair up together. The rest of the table is generated in a similar fashion.
Once the table is set up, you plot all of the points and draw a line through them to complete the graph.
Because we're dealing with a linear function, we only need 2 points at minimum to graph it. However, you can generate as many points as you want. It could be good practice.
Side note: Stuff to the left of m = 0 and stuff to the right of m = 8 is not graphed, as these portions are not in the domain.
solve for a if 2a²+2a+1=o
Answer:
guath math
Step-by-step explanation:
There is an app called guath math and it shows you all the steps and everything to a math problem just by scanning it. Also it is fast than asking people on brainly;
Which linear inequality and its solution set is represented by the graph?
Answer: im pretty sure its y is more than or equal to 3x - 4
Step-by-step explanation:
pleaseeeeee help me with this.
Answer:
Step-by-step explanation:
2 is like terms
1 one is coeff
3 is const
4 is expression
5 is trem
6 is variable
Help with questions 21-23 using pemdas
If u can, please help with some ones below those (using pemdas) :]
Tyyy
Answer:
21. 123 22. 6.86 or 6/ 6/7 23. 90
Step-by-step explanation:
21. (6+4)² + (22+10÷2)
(10)² + (22 + 5)
100 + 27
127
22. (11+42-5) ÷ (11-4)
48 ÷ 7
6.85 or 6 6/7
23. (17-3) × (14 - 6) -22
14 × 8 - 22
112 - 22
90
What is the second term in the binomial expansion of (2x−3y)12 ?
Recall the binomial theorem:
Group of answer choices
73728x11y1
−73728x11y
−608256x10y2
608256x10y2
The option that gives the correct value of the second term is;
Option B; -73728x¹¹y
We are given the expression;
(2x - 3y)¹²
Now we want to find the second term using binomial expansion.
In binomial theorem, we have the following expressions;(x + y)² = x² + 2xy + y²
(x - y)³ = x³ - 3x²y + 3xy² + y³
(x - y)⁴ = x⁴ - 4x³y + 6x²y² - 4xy³ + y⁴
(x - y)¹² = x¹² - x¹¹y + x¹⁰y² - x⁹y³ + ....
Now applying this same system above to our question gives us;
(2x - 3y)¹² = 4096x¹² - 73728x¹¹y + 608256x¹⁰y² - 3041280x⁹y³ + ........
Thus, our second term here is; -73728x¹¹y
In conclusion, the correct option that gives the second term is Option B.
Read more at; https://brainly.com/question/24102756
Given matrices A and B shown below, find (3)A+(8)B.
Answer:
[tex]\left[\begin{array}{ccc}32&-55\\3&39\end{array}\right][/tex]
Step-by-step explanation:
[tex]\left[\begin{array}{ccc}0&-15\\3&15\end{array}\right] +\left[\begin{array}{ccc}32&-40\\0&24\end{array}\right] =\left[\begin{array}{ccc}0+32&-15+(-40)\\3+0&15+24\end{array}\right] = \left[\begin{array}{ccc}32&-55\\3&39\end{array}\right][/tex]
help please
Make up two equations, one that is true and one that is false. State which equation is true and which is false.
Answer:
57+20= 90 (false)
40+39= 79 (true)
Answer:
14 * 9(-9) - 8 = 1142 9 - 45(-3) + 7 = 151
Step-by-step explanation:
14 * 9(-9) - 8 = 1142 9 - 45(-3) + 7 = 151
(This one is true) (This one is false)
Complete the table of values for y=x2-x-5.
Answer:
when -2 , y = 1
when 0, y = -5
when 2, y = -3
when 3, y = 1
when 4, y = 7
Please help!!! Me 20 points
Answer:
shade 20 squares
Step-by-step explanation:
What your going to think about is there is going to be 4 5's so 4 x 5 is 20
Answer:
I saw the other persons work and I also believe the answer is 20.
Step-by-step explanation:
By multiplying the dividend from the graph.
please help me with my homework
Answer:
steps below
Step-by-step explanation:
5-1) Center of dilation: intersect of AA' and BB' (or CC' ...) (M in the graph)
5-2) scale factor = A'B' / AB = 6/4 = 1.5
5-3) ratio of all corresponding sides are equal = 1.5 and parallel, it also means all corresponding angles are similar.
Beth simplified the expression 8 + 10 + 8 + 2 minus (4 times 1.4) minus (4 times 1.4) to find the perimeter of the figure on the grid.
On a coordinate plane, a figure has side lengths of 8, 10, 8, 2, (4 times 1.4), (4 times 1.4).
What error did Beth make?
She found the area of the figure instead of the perimeter.
She subtracted the lengths of the diagonal lines instead of adding them.
She used 4 times 1.4 to represent the length of each diagonal line instead of 4.
She added the horizontal and vertical lengths instead of multiplying them.
Answer:
Step-by-step explanation:
the answer is 16.8
Explanation: well for starters you have to do what's in the parenthesis, so 4 times 1.4 is equal to 5.6. so now we add up the equation and get 28, so now we are left with 28-5.6-5.6 which equals 16.8
hoped this helped;)
Answer:
She subtracted the lengths of the diagonal lines instead of adding them.
Step-by-step explanation:
helppppppppppp please
Answer:
6
.......
.
...........
plz help me to solve stepwise
Answer:
14 cm by 34m
Step-by-step explanation:
Can someone please help as I'm not sure how to tackle this step by step? Especially question b, d, g, j, k, l. Not how sure to do it if contains a surd just on its own.
Step-by-step explanation:
√a = 1√a so we can solve them easily:
b) 3√7 -√7= 3√7 - 1√7 =( 3-1)√7= 2√7
d) 5√6 - 2√6+√6= (5-2+1)√6 = 4√6
g) √2+2√2= 3√2
j) √5+5√5 - 3√5 = 3√5
k) 2√3 + √3 - 5√3= -2√3
I) 5√11 + 7√11 - √11 = 11√11
How do you determine the number of electrons? (need the answer asap)
Question 1 options:
It is equal to the atomic mass
It is equal to the protons + the atomic number
It is the atomic mass + the atomic number
It is equal to the protons in a neutral atom
Answer:
It is equal to the protons in a neutral atom
more over
#proton =#electrons=atomic number
Answer:
It is equal to the protons in a neutral atom
Can someone help me please ?
Answer:
I don't know the answer sorry luv but ur pfp is cute
-xoxo
PLEASE HELP ITS MATH THANK YOUUUU
please help need this done by tomorrow thank you [PHOTO]
Answer:
31
Step-by-step explanation:
sum of the bordering angles is 180° so
(5x-16) + (x+10) = 180
5x - 16 + x + 10 = 180
6x - 6 = 180
6x = 186
x = 186 ÷ 6
x = 31
Answer:
The answer is x=31.
5x-16+x+10=180
6x-6=180
6x=186
x=31
Then, 5(31)-16=
155-16= 139
Also, x+10=
31+10=41
Solution check:
139+41=180, so x=31 is correct.