[tex] \frac{x}{3} = 3 \\ \\ x = 3 \times 3 \\ \\ x = 9[/tex]
Help ASAP PLEASEEE ILL GIVE BRAINLIEST
Answer:
3/18 = 6/ DG
Step-by-step explanation:
Pythagorean Theorem is annoying..
Answer:
c = 10
Step-by-step explanation:
8² + 6² = c²
64 + 36 = c
64 + 36 = 100
[tex]\sqrt{100\\[/tex] = 10
Hope this helps :)
What is the partial fraction decomposition in terms of X? Review the work showing the first few steps in writing a partial fraction decomposition. 6 O + 121-25 B 2.x - 3 А + 2-3 (21 - 3)² 412-12: +9 (2x - 3) 6 43 - 12x - 25 = A(2x - 3) + B 2.x - 3 (2:- 3) 12x - 25 = 2Ax - 3A + B 6 7 + 2x - 3 (2x - 3)2 7 2x - 3 (2,-3)
After partial fraction decomposition the correct expression we get,
[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{6}{2x-3} - \frac{7}{(2x-3)^2}[/tex]
Hence option fourth is correct.
Partial fractions is a technique used in mathematics to decompose a rational function into simpler fractions.
It involves breaking down a rational function with a denominator of a higher degree into a sum of fractions with simpler denominators.
The given expression is,
[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{A}{2x-3} + \frac{B}{(2x-3)^2}[/tex]
[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{A(2x-3) + B}{4x^2 - 12 x + 9}[/tex] [since (a-b) = a² + b² -2ab]
Simplifying we get
⇒ 12x - 25 = A(2x - 3) + B
⇒ 12x - 25 = 2Ax + (B - 3A)
Comparing the coefficients we get
2A = 12
⇒ A = 6
And B - 3A = -25
Put the value of A we get
B = -7
Hence,
After substituting the values of A and B in the given expression we get
[tex]\frac{12x - 25}{4x^2 - 12 x + 9} = \frac{6}{2x-3} - \frac{7}{(2x-3)^2}[/tex].
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PLZ HELP ME WITH 6 * 5/6 THANKS
Answer:
5
Step-by-step explanation:
5/6 x 6 = 30/6
Basically just multiply the numerator and whole number to get the new numerator. Put that on top of the denominator and then convert it to the simplest fraction (if necessary).
geometry, can u help????
If you are given x2 + 15x + 9, what does the expression equal if x=2
Answer:
43
Step-by-step explanation:
2(2) + 15(2)+ 9 = 43
Answer:
43
Step-by-step explanation:
2 x 2 = 4
4 + (15 x 2) = 34
34 + 9 = 43
Marvin has 2 rabbits. The number of rabbits triples
every year. Marvin needs 100 pounds of food to feed
one rabbit per year. How many pounds of food will
Marvin need to feed his rabbits during the third year?
Select one:
o
900
O
1200
600
1800
Answer:
1800
Step-by-step explanation:
Answer:
1800 pounds
Step-by-step explanation:
1st year: 2 rabbits
2nd year: 6 rabbits
3rd year: 18 rabbits
18 x 100 = 1800
hope this helps :)
The value of the computer decreased exponentially throughout the five-year period.
What was the average annual of decrease (in dollars per year) over the two-year interval from t=2 to r=4?
table:
_Time___/_Value__
1 / $400.00
3 / $100.00
5 /$25.00
Therefοre , the sοlutiοn οf the given prοblem οf functiοn cοmes οut tο be the average yearly rate οf decrease (in dοllars per year) is $100.
Explain functiοn.
Each tοpic, mathematics, variable design, which is and bοth actual and hypοthetical lοcatiοns will be cοvered in the midterm exam questiοns. a catalοg οf the cοnnectiοns between variοus cοmpοnents that wοrk tοgether tο prοduce the same οutcοme. A service is made up οf many unique parts that wοrk tοgether tο prοduce unique οutcοmes fοr each input.
Here,
[tex]= > V(t) = V(0) * e^{(-kt)[/tex]
By using the numbers at times t=1 and t=3, we can determine the decay cοnstant k:
[tex]= > V(1) = 400 = V(0) * e^{(-k1)[/tex]
[tex]= > V(3) = 100 = V(0) * e^{(-k3)[/tex]
[tex]= > 100/400 = e^{(-k3) / e^{(-k1)[/tex]
[tex]= > 1/4 = e^{(-2k)[/tex]
[tex]= > ln(1/4) = -2k[/tex]
[tex]= > k = ln(4)/2[/tex]
[tex]= > k ≈ 0.69315[/tex]
The value οf the cοmputer at times t=2 and t=4 can nοw be determined using the algοrithm fοr V(t):
[tex]= > V(2) = V(0) * e^{(-k2)[/tex]
[tex]= > V(4) = V(0) * e^{(-k4)[/tex]
[tex]= > V(4)/V(2) = e^{(-k4) / e^{(-k2)[/tex]
[tex]= > V(4)/V(2) = e^{(-2k)[/tex]
[tex]= > V(4)/V(2) = e^{(-0.69315*2)[/tex]
[tex]= > V(4)/V(2) =0.5[/tex]
Over this time periοd, the average yearly rate οf decline (in dοllars per year) is:
Ratiο οf decline equals value shift. (time interval)
=> V(2) - V(4) = (rate οf decline) / (4 - 2)
=> (amοunt οf reductiοn) is equal tο (V(2) * (1 - 0.5)) / 2.
=> (amοunt οf decline) is equal tο (V(2) * 0.5) / 2.
=> V(2) / 4 equals (rate οf decline)
=> (rate οf reductiοn) equals 400 / 4
=> rate οf decline) = $100 annually
As a result, οver the twο-year periοd frοm t=2 tο r=4, the average yearly rate οf decrease (in dοllars per year) is $100.
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Find the volume: 5ft 5ft 8ft 3ft
Answer:
120ft
Step-by-step explanation:
8 x 3 x 5
What does "y-> - «" mean?
Answer:
y approaches negative infinty
What is the y coordinate?
Answer:
2
Step-by-step explanation:
A girl weight increased by 12% between her tenth and four teen birthdays . If she weighed 45kg on her tenth birthday. What did she weigh on her fourteenth birthday
can someone plz help me
Answer:
d = 6.3 units
Step-by-step explanation:
Distance formula:
d=√((x_2-x_1)²+(y_2-y_1)²)
Your ordered pairs (-8, 6) and (-6, 0)
d=√((-6-(-8))²+(0-6)²)
d=√((-6+8))²+(-6))²)
d=√((2)²+ 36)
d = √40
d = 6.32...
d = 6.3
A 1. Explain the key difference between permutations of three out of a
group of seven objects and combinations of three out of a group of
seven objects.
Answer:
Step-by-step explanation:
im clueless
Alexis bought 4 cupcakes that cost $1.05 each. She paid with a five dollar bill. How much change did Alexis receive?
Answer:
Ans (change recieved) = $0.80
Step-by-step explanation:
because 1 cupcake cost $1.05, 4 of them cost $4.2 because you multiply 4 cupcakes by the cost ($1.05) to obtain the total cost of the four cupcakes.
in order to know the change she recieved . you subtract the $5 bill she paid with the total cost of the 4 cupcakes
$5.00 - $4.20 = $ 0.80
Can someone help me on this?? 10 points to whoever helps.
Answer:
whats the question?
Step-by-step explanation:
On her lunch break, Audrey grabs a meal with her two coworkers. If everyone paid an equal amount of $8.50, then how much was the total bill?
Answer:
$25.50
Step-by-step explanation:
3 people including Audrey went on the lunch break. If each spent $8.50, the total bill can be calculated in two ways
Method 1
$8.50 x 3 = $25.50
Method 2
$8.50 + $8.50 + $8.50 = $25.50
Why must you use the HEIGHT of the parallelogram, NOT the length of the slanted side of the parallelogram, to determine its area?
a rectangular prism measures 3 in by 8 in by 9 in. what is the side length of a cube with the same volume?
Answer:
6 in.
Step-by-step explanation:
Rectangular prism
V = lwh l = 8 W = 3 h = 9
= 8(3)(9)
= 216
Cube
[tex]V = s^{3}[/tex] where s = length of side
216 = [tex]s^{3}[/tex]
[tex]s = \sqrt[3]{216}[/tex] = 6
What is the area? square kilometers
Answer:
Step-by-step explanation:
The area of a trapezoid is the height times the average of its parallel bases.
A=h(b1+b2)/2, in this case
A=14(4.6+8.7)/2
A=7(4.6+8.7)
A=7(13.3)
A=93.1 km^2
Which equation represents a proportional relationship?
Answer:
B, for every y there are 150 x's
i also need this asap
Answer:
x=180-(67+52)
Step-by-step explanation:
a linear pair is 180
we are already have two angles add them together
subtract that from 180 and you will get the last angle
Please help
The perimeter of a quadrilateral is 336.
The ratio of the sides is 2: 3: 2: 5. Find
the side lengths.
Just trying to win the CONTEST BUT GOOOOD LUCK
Answer:
56 units, 84 units, 56 units, 140 units
Step-by-step explanation:
Since you have the ratios, you can multiply each by x, because you do not know the actual values.
2x+3x+2x+5x=336
12x=336
÷12 ÷12
x=28
Then, plug in the values of x.
So 2*28= 56
3*28=84
2*28=56
5*28=140
Can someone please help me pleaseeee!
Answer:
y=-1.7x+8
Step-by-step explanation:
An equation of a line is y=mx+c
m is the gradient and c is the y intercept, which is where the line intercepts y.
you work out m getting two points and then subtracting y - y ÷ x - x
So in this graph, if we chose points (6,-2) and (3,3) then we would do this equation.
[tex] \frac{3 - - 2}{3 - 6} = \frac{5}{ - 3} = - 1.7[/tex]
So m = -1.7
c = 8 because it goes through 8 in y.
So the equation is y=-1.7x+8
Help me solve this problem please
Answer:
if you can try to go on your phone and then theres a app that lets you take a picture then it will answe it
Step-by-step explanation:
Mr. Platt buys 5 calculators to use in his classroom and pays $44.95. Construct a model or diagram to represent this relationship. Write an equation that could be used to find the price, C, of each calculator.
Answer:
I cant really help with the diagram but the equation is
$44.95 divided by 5 = $8.99
Answer: The equation is 5c = 44.95
Step-by-step explanation:
The equation is 5c = 44.95, when c is the price of each calculator.
Solve x2 - 10 = 0. If necessary, round to the nearest hundredth.
9514 1404 393
Answer:
3.16 or -3.16
Step-by-step explanation:
Add 10 and take the square root.
x^2 = 10
x = ±√10 ≈ ±3.16
x is 3.16 or -3.16
please help 13 points
Answer:
.
Step-by-step explanation:
1. Use the mental math strategy of rounding (for example +1/-1, +2/- 2, +10/-10, or +20/-20) to add the following numbers. Write down how you would change the numbers in your head for each question.
Ex. 27 + 51 28+50=78
a. 41 + 16=
b. 79 + 14=
c 580 + 355=
d. 174 + 620=
e. 378 + 210=
how many significant digits in 8.90
Answer:
2
Step-by-step explanation:
Answer:
Only 2, the 0 is not needed so it should just be 8.9
Step-by-step explanation: