Answer:
x=[tex]\frac{abc}{(bc+ac+ab)}[/tex]
Step-by-step explanation:
First, we need to remove the fractions on the left hand side, which we can do by multiplying each term by the lowest common multiple of the denominators. Since the denominators are all different (a,b and c), then the lowest common multiple is just all three multiplied together: abc
So, our original equation:
[tex]\frac{1}{a}+\frac{1}{b}+\frac{1}{c}=\frac{1}{x}[/tex] now becomes:
[tex]\frac{abc}{a}+\frac{abc}{b}+\frac{abc}{c}=\frac{abc}{x}[/tex]
Now we can simplify the fractions on the right hand side because each numerator can now be divided by its denominator:
[tex]bc+ac+ab=\frac{abc}{x}[/tex]
Now we can just rearrange the equation to solve for x by replacing the x with (bc+ac+ab), because if abc/x= bc+ac+ab, then abc/bc+ac+ab=x, as x and bc+ac+ab multiply to abc:
[tex]x(bc+ac+ab)=abc[/tex]
[tex]x=\frac{abc}{bc+ac+ab}[/tex]
Hope this helped!
Which number would complete the equivalent fraction? 4/5 = /80 64, 80, 4 or 320
Answer:
64/80
Step-by-step explanation:
When you put in your calculator 4/5 it spits out ".8".
You are looking for another fraction that spits out 0.8.
One of the choices that gets my attention is 64. Let's test it to see if I was right first try.
Calculator: 64/80 = 0.8; 64/80 is equivalent to 4/5.
Solve a + 5/6 < 2/3 check your answer
Hey there!☺
[tex]Answer:\boxed{a<\frac{-1}{6}}[/tex]
[tex]Explanation:[/tex]
[tex]a+\frac{5}{6}<\frac{2}{3}[/tex]
We only have one step in this inequality which is subtract 5/6 from both sides:
[tex]a+\frac{5}{6}-\frac{5}{6}<\frac{2}{3}-\frac{5}{6}\\a<\frac{-1}{6}[/tex]
[tex]a<\frac{-1}{6}[/tex] is our answer.
Hope this helps!☺
Which is a constant function?
f(x) = |x-81
f(x) = 5x
f(x) = 3x
f(x) = -1
Answer:
last one is the constant function
What is the equation of the line that passes through the point (5, -6) and has a
slope of – 3/5
Answer:
The answer is
[tex]y = - \frac{3}{5} x - 3 \\ [/tex]Step-by-step explanation:
To find an equation of a line when given the slope and a point we use the formula
[tex]y - y_1 = m(x - x_1) \\ [/tex]
where
m is the slope
( x1 , y1) is the point
From the question the point is (5, -6) and slope - 3/5
The equation of the line is
[tex]y + 6 = - \frac{3}{5} (x - 5) \\ y + 6 = - \frac{3}{5} x + 3 \\ y = - \frac{3}{5} x + 3 - 6[/tex]
We have the final answer as
[tex]y = - \frac{3}{5} x - 3 \\ [/tex]
Hope this helps you
Answer:
y = -3/5x - 3
Step-by-step explanation:
Slope intercept form is [ y = mx + b ] where m = slope and b = y-intercept.
We know the slope so we need to find the y-intercept.
y = -3/5x + b
-6 = -3/5(5) + b
-6 = -3 + b
-3 = b
Put everything we know/solved for into the formula shown above.
y = -3/5x - 3
Best of Luck!
work out the area of a circle with the diameter of 14cm
Answer:
153.94
Step-by-step explanation:
If f(x) = 3x - 4 and g(x) = x + 5, then find f(x) - g(x).
Answer:
1/2
Step-by-step explanation:
Answer:
X=9/2
Step-by-step explanation:
3x-4=x+5 add like terms
2x=9 divide both sides by 2
x=9/2
Hope this helps
I don’t understand this someone pls help me! (Question 10)
Answer:
a. f(n) = n(n+1)/2
b. 351
c. 19
d. no; n would not be an integer for f(n) = 17.
Step-by-step explanation:
a. The terms are 1, 3, 6, 10, ...
Each term has the term number added to the previous term. That is, first differences are 3-1 = 2, 6-3 = 3, 10-6 = 4. These differences have a constant difference of 1.
When the 2nd differences are constant, a 2nd degree polynomial can describe the sequence. It is a little bit of trouble to find that polynomial.
For the polynomial ...
[tex]f(n)=an^2+bn+c[/tex]
We can substitute values for n and f(n) to get 3 equations in 3 unknowns:
[tex]1=a\cdot1^2+b\cdot1+c\\\\3=a\cdot2^2+b\cdot2+c\\\\6=a\cdot3^2+b\cdot3+c[/tex]
Solving these equations by your favorite method gives ...
(a, b, c) = (1/2, 1/2, 0)
That is, the function representing the relationship is ...
f(n) = n(n+1)/2 . . . . the function describing the relationship
__
b. f(26) = 26(27) = 13(27) = 351 . . . . the number of squares in term 26
__
c. The number of the term having 190 squares can be found by solving ...
n(n +1)/2 = 190
n(n +1) = 380 = 19(20)
The 19th term will have 190 squares.
__
d. Terms 5 and 6 are 15 and 21.
17 is not the value of one of the terms in this sequence.
Simplify by combining like terms, make sure answer is in standard form
a²+a+a²
The weights of Sarus crane chicks and hooded crane chicks H (both in grams) during the 10 days following hatching can be modeled by the functions S = –0.122t3 + 3.49t2 – 14.6t + 136 H = –0.115t3 + 3.71t2 – 20.6t + 124 where t is the number of days after hatching. According to the models, what is the difference in weight between 5-day-old Sarus crane chicks and hooded crane chicks? Round your answer to the nearest thousandth, if necessary.
Answer:
35.875 gramsStep-by-step explanation:
Given
Functions:
S(t) = –0.122t³ + 3.49t² – 14.6t + 136 H(t) = –0.115t³ + 3.71t² – 20.6t + 124Finding the difference between S(5) and H(5)
S(5) - H(5) = –0.122t³ + 3.49t² – 14.6t + 136 - (–0.115t³ + 3.71t² – 20.6t + 124) =(-0.122 + 0.115)*5³ + (3.49 -3.7)*5² - (14.6 -20.6)*5 + 136 - 124 = 35.875Answer is 35.875 grams
Find the x- and y- intercepts of each line: 4y=10x-24
[tex]x = \frac{12}{5}[/tex] or the x-intercept coordinates, [tex](\frac{12}{5},0)\\[/tex].
[tex]y = -6[/tex] or the y-intercept coordinates, [tex](0,-4)[/tex].
Solution:Simplifying the equation into standard form:
[tex]4y = 10x - 24 \\ 4y - 10x = - 24[/tex]
Finding the x-intercept by evaluating (x,0):
[tex]4(0) - 10x = - 24 \\ - 10x = - 24 \\ x = \frac{ - 24}{ - 10} \\ x = \frac{12}{5} [/tex]
Finding the y-intercept by evaluating (0,y):
[tex]4y - 10(0) = - 24 \\ 4y = - 24 \\ y = \frac{ - 24}{4} \\ y = - 6[/tex]
Solve the following quadratic equation for all values of x in simplest form. 4(x² – 6) + 8 = -4
Will Award Brainliest
Answer:
Exact Form:
x = √ 3 , − √ 3
Decimal Form: x = 1.73205080 … , − 1.73205080 …
Step-by-step explanation:
A company sells 20-ounce bottles of sports drink. The actual volume of liquid in the bottle must be within 0.03 ounces. What equation can be solved to find the minimum and maximum volume of liquid in a bottle
Answer:
b
Step-by-step explanation:
Most English-speaking countries use the short-scale naming system, in which a trillion is expressed as 1,000,000,000,000. Some other countries use the long-scale naming system, in which a trillion is expressed as 1,000,000,000,000,000,000,000. Express each number as a single-digit integer times a power of ten. How many times greater is the long-scale naming system than the short-scale?
Answer:
Short Scale 10^12 Long Scale 10^18
Step-by-step explanation:
Long Scale and Long Scale are bizzare. As stated most English-speaking countries use the Short Scale. This means we always have to check where the number is coming from. In the long scale, billion means one million million (10^12) and trillion means one million billions (10^18), and so on.
Answer:
1*10^12 and 1*10^21
Step-by-step explanation:
The long scale naming system is 10^9 greater than the short scale system.
Hope this helps
Which of the following is an even function?
Simplify (-6+3i)(8 - 21) (8 - 41) =
Answer:
=2574+1287i
Step-by-step explanation:
To determine the number of trout in a lake, a conservationist catches 120 trout, tags them and throws them back
into the lake. Later, 44 trout are caught; 11 of them are tagged. How many trout would the conservationist expect
to be in the lake?
Answer:350 Trouts
Step-by-step explanation:To determine the number of trouts the conservationist expect to be in the lake, you add 120+120 that equal to 240.Then you add 240+40 that equals to 284.Then you add 284+44 that equals to 328.Then you add 328+11 that equals to 339.Finally, you add 339+11 to get your answer:350.
Justin has a bank account balance of ($−23.64) ! He washed 3 cars for $9.50 each to redeem himself. What is Justin's new balance.
Answer:
The Balance is $4.86
Step-by-step explanation:
Multiply 9.50 x 3
= 28.50
Then add it to -23.64
You'll get $4.86
please helpppp please I’ll give 20 points please it’s my last work page for the week pleaseeeee
Answer:
its the way it goes from minus 4
Write an equation of the line that passes through the point P(0,0) and is perpendicular to the line y=-5x+3
Answer:
[tex]y=\frac{1}{5}x[/tex]
Step-by-step explanation:
We want to write an equation of a line that passes through the point P(0, 0) and is perpendicular to the line y=-5x+3.
First, let's figure out the slope of our new line. Remember that slopes of perpendicular lines are negative reciprocals of each other.
So, to find our new slope, we need to flip our old slope and multiply by -1. So, our new slope is:
[tex]-5[/tex]
Flip:
[tex]-\frac{1}{5}[/tex]
Multiply by a negative:
[tex]=\frac{1}{5}[/tex]
So, the slope of our new line is 1/5.
To find our equation, we can use the slope-intercept form:
[tex]y=mx+b[/tex]
Where m is the slope and b is the y-intercept.
As previously determined, our slope is 1/5.
Note that (0, 0) is our y-intercept (and also our x-intercept). So, substitute 0 for b. Therefore, our new equation is:
[tex]y=\frac{1}{5}x+0[/tex]
Simplify:
[tex]y=\frac{1}{5}x[/tex]
And we're done!
I need help pls help me
The school zone in front of your school has a posted speed limit of 25mi/h which is about 11 m/s. Let’s examine the stopping of car is several different situations. The crossing guard holds up her stop sign, and the driver is paying attention as well. The car moves at a constant velocity of 11 m/s for 2.3 second while the driver reacts, then slows down at a constant rate or -4.5 m/s. What is the stopping distance for the car in this situation?
Answer:
x=13.4
Step-by-step explanation:
x=v_i(t)+1/2(at^2 )
x=11(23)+12(-4.5)(2.3)^2
x=25.3-11.9
x=13.4
The stopping distance for the car in this situation will be x = 13.4 meters.
What is an equation of motion?Equations of motion are used to describe how a physical system behaves in terms of how its motion changes over time.
The behavior of a physical system is described in more detail by the equations of motion as a collection of mathematical functions expressed in terms of dynamic variables.
Given that the school zone in front of your school has a posted speed limit of 25mi/h which is about 11 m/s. The car moves at a constant velocity of 11 m/s for 2.3 seconds while the driver reacts, then slows down at a constant rate of -4.5 m/s.
The distance will be calculated as below:-
x=v(t)+1/2(at² )
x=11(23)+12(-4.5)(2.3)²
x=25.3-11.9
x=13.4 meters
Therefore, the stopping distance for the car in this situation will be x = 13.4 meters.
To know more about an equation of motion follow
https://brainly.com/question/25951773
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When f(x) = 4x + 1 and g(x) = 4x - 3
Find f(x) * g(x)
Pls need help can u answer these ?
Answer:
(4x+1)(4x-3)
4x(4x-3)+1(4x-3)
16x²-12x+4x-3
16x²-8x-3
what is the principle of QX to constatic terms?
Answer:
yes its X-squadrant
Step-by-step explanation:
are b, c and k co-planar??!
Answer:
yes
Step-by-step explanation:
write 600 as the product of prime factors
Answer:
2 x 2 x 2 x 3 x 5 x 5 = 600
Step-by-step explanation:
Answer:2x2x2x3x5x5
Step-by-step explanation:
Replace * with a monomial so that the trinomial may be represented by a square of a binomial:
6.25a^2+ * + 1/4b^2
Answer:
Since:
a^2-2ab+b^2 = (a-b)^2
and
a^2+2ab+b^2 = (a+b)^2
We need to find value of * which is 2ab
In your equation = [tex]\sqrt{6.25} = 2.5 and \sqrt{1/4} = 0.5\\Now 2ab = 2 * 2.5 * 0.5\\ = 2.5\\\\\\* = 2.5ab[/tex]
i love how this website was created for people to get help with work and ask questions about it but instead people ask stupid questions or the question directly from their work. (haha just like this one)
Answer:
mk, eee
Step-by-step explanation:
simplify.
6x+4y-4x+5y+5
Answer:
2x + 9y + 5
Step-by-step explanation:
Combine like terms:
(6x - 4x) + (4y + 5y) + 5
2x + 9y + 5
Answer:
2, 9, 5
Step-by-step explanation:
These are the numbers to plug into this equation.
0.80 in decimal form is equivalent to 800%
Answer:
False, its equivalent to 80%
Step-by-step explanation:
|3a| − 54b , if a = -7 and b = 215
Answer:
-11,589
Step-by-step explanation:
|3a| − 54b
|3(-7)| − 54(215)
|-21| - 11610
21 - 11610
-11589
Best of Luck!
