Step 1 Divide all terms by a (the coefficient of x2). Step 2 Move the number term (c/a) to the right side of the equation. Step 3 Complete the square on the left side of the equation and balance this by adding the same value to the right side of the equation.
Answer:
to solve quadratic equations you need to first figure out how many terms you have and if you have more than 3, your in luck but the AZB formula will not include the terms 1 2 or 3
Step-by-step explanation:
Assume there is a 50% chance of having a boy. Find the probability of
exactly two boys in three births.
Answer:
0.375
Step-by-step explanation:
Given that there is 50% chance of having a boy in a single birth.
Let it be represented by p, so
p=50%=0.5
According to Bernoulli's theorem, the probability of exactly r success in n trials is
[tex]P(r)=\binom {n}{ r} p^r(1-p)^{n-r}[/tex]
where p is the probability of success.
So, the probability of exactly 2 boys (success) in a total of 3 birth (trials) is
[tex]P(r=2)=\binom {3}{ 2} p^2(1-p)^{3-2}[/tex]
As p=0.5, so
[tex]P(r=2)=\binom {3}{ 2} (0.5)^2(1-0.5)^{3-2} \\\\=\binom {3}{2} (0.5)^2(0.5)^{1} \\\\=3\times 0.5^3[/tex]
=0.375
Hence, the probability of exactly 2 boys in a total of 3 birth is 0.375.
2(x +10)-17 = 5 + 2x - 2
22
plz help i will give brainliest!
Round the problem to estimate the quotient: 135,296 divided by 16
Answer:
135,296 ÷ 16 = 8,456
Step-by-step explanation:
i think this is the answer
What is the slope of the line in the graph
The sum of two numbers is 51 and the greater number is twice the smaller number. Find the numbers. a) set up the variables Let _______ represent the first number Then _______ will represent the second number. b) What is the equation that represents the above situation? c) Solve the equation.
Answer:
34 and 17Step-by-step explanation:
a) set up the variables
Let x represent the first number Then y will represent the second number.
b) What is the equation that represents the above situation?
x = 2yx + y = 51c) Solve the equation.
Substitute x in the second equation and solve for y:
x + y = 512y + y = 513y = 51y = 51/3y = 17Then find x
x = 2y = 2*17 = 34Answer:
[tex]\tt{34~and ~17 }[/tex]
Step-by-step explanation:
let the first number is =x
second number is =y
The sum of two numbers is 51 =x+y=51•••{1}
the greater number is twice the smaller number= x=2y••••••••{2}
According to the question,
[tex]\bold{ x+y=51 }[/tex]
[tex]\bold{2y+y=51 }[/tex] [tex]\because{ (x=2y ) }[/tex]
[tex]\bold{ 3y=51 }[/tex]
[tex]\bold{ y=\dfrac{51}{3} }[/tex]
[tex]\boxed{\blue{y=17 } }[/tex]
NOW put the value y in equation {2}
we get that,
[tex]\bold{ x=2×17 }[/tex]
[tex]\bold{ x=34 }[/tex]
Will mark brainiest! !!50 Points!! The first question since it got cut off is : (A) is the sequence arithmetic, geometric, or neither? How do you know?
Answer:
Geometric
Step-by-step explanation:
Answer:
Geometric, 81, 3
Step-by-step explanation:
A geometric sequence is defined as one that continues with multiplication.
We can tell that the sequence proceeds by multiplying 1/3.
a2 is 81 because it is the second term given in the sequence.
a5 is 3 because it equals a4 *1/3, which is 9*1/3 which is 3
I hope this helps! :)
The mean temperature for the first 4 days in January was 3°C.
The mean temperature for the first 5 days in January was 1°C.
What was the temperature on the 5th day
Answer:
it is 4 C
Step-by-step explanation:
because it is the first 4 days of January and it was 3C and on the 5 day it was 1C add it up and you will get 4C
Simplify the expression to a form in which 2 is raised to a single integer power. fraction numerator open parentheses 2 to the power of 10 close parentheses cubed 2 to the power of short dash 10 end exponent over denominator 2 to the power of short dash 7 end exponent end fraction
Answer:
2^27
Step-by-step explanation:
Given the following expression:
[(2^10)^3 x (2^-10)] ÷ 2^-7
This can be easily simplified. Let us simplify the numerator first. To do that, we have
(2^10)^3 making use of the power rule of indices that says:
(A^a)^b = A^ab where a and b are powers, we have:
2^(10x3) = 2^30
Therefore the numerator becomes:
2^30 x 2^-10. Also making use of the multiplication rule that says:
A^a x A^b = A^(a + b), we have
2^30 x 2^-10 = 2^(30 – 10) = 2^20.
Now we have:
(2^20) ÷ (2^-7)
To simplify this, we need the division rule of indices which says:
A^a ÷ A^b = A^(a – b)
Therefore we have:
(2^20) ÷ (2^-7) = 2^[20 – (–7)] = 2^(20+7) = 2^27
Following are the solution to the given expression:
Given:
[tex]\to \frac{[(2^{10})^3 \times (2^{-10})]}{2^{-7}}[/tex]
To find:
value=?
Solution:
[tex]\to \frac{[(2^{10})^3 \times (2^{-10})]}{2^{-7}}[/tex]
Using formula:
[tex]\to (A^a)^b = A^{ab}\\\\\to A^a \div A^b = A^{(a - b)}[/tex]
Solve the equation:
[tex]\to \frac{[(2^{30}) \times (2^{-10})]}{2^{-7}} \\\\\to \frac{(2^{30})}{2^{-7}} \times \frac{(2^{-10})}{2^{-7}} \\\\ \to \frac{(2^{30})}{2^{-7}} \times \frac{(2^{-10})}{2^{-7}} \\\\\to (2^{30 - (-7)}) \times (2^{-10- (-7)}) \\\\\to 2^{37} \times 2^{-3} \\\\\to 2^{37 -3} \\\\\to 2^{34} \\\\[/tex]
Therefore, the final answer is "[tex]\bold{2^{34}}[/tex]".
Learn more:
brainly.com/question/1294040
A) I sell one piece of wood for £1000, however the price has increased by 5000% how much do I make from selling 64 pieces of wood?
B) I sell one piece of wood for £2000, however the price has increased by 5000% how much do I make from selling 64 pieces of wood?
C) I sell one piece of wood for £1000, however the price has increased by 50% how much do I make from selling 64 pieces of wood?
A) £3264000.
. £1000 increased by 5000% =£51,000
. £51,000×64=£3264000
B) £6528000
. £2000 increased by 5000% =£102,000
. £102,000×64=£6528000
Step-by-step explanation
A lock has a code of 4 numbers between 1 and 20. If no numbers in the
code are allowed to repeat, how many different codes could be made?
There are 116,280 different codes that can be made with 4 numbers between 1 and 20 without repeating any number.
What are permutation and combination?In arithmetic, combination and permutation are two different ways of grouping elements of a set into subsets. In combination, the components of the subset can be recorded in any order. In a permutation, the components of the subset are listed in a distinctive order.
Here,
To find the number of different codes that can be made with 4 numbers between 1 and 20 without repeating any number, we can use the permutation formula, nPr = n! / (n-r)! where n is the total number of items and r is the number of items we want to choose.
In this case, we have n = 20 (the total number of numbers we can choose from) and r = 4 (the number of numbers we need to choose).
So, the number of different codes that can be made is:
20P4 = 20! / (20-4)! = 20! / 16! = 20 × 19 × 18 × 17 = 116,280
Therefore, there are 116,280 different codes that can be made with 4 numbers between 1 and 20 without repeating any number.
Learn more about permutations and combinations here: https://brainly.com/question/2295036
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Find the measure of the missing angle.
32 a
Answer:
Soln,
32°+a=90°[right angled triangle]
or,a=90°-32°
or,a=58°
•°•a=58°
The measure of the missing angle is, a = 58 degree
Used the concept of complementary angle that states,
The sum of complementary angles is always equal to 90 degrees.
Given that,
There are two angles shown in the image.
From the given image,
Angle a and 32 are complementary angles.
Hence,
a + 32° = 90°
a = 90° -32°
Therefore, the missing angle is,
a = 58 degree
To learn more about the angle visit:;
https://brainly.com/question/25716982
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PLZ HELP IM GIVING YOU 100 POINTS
solve for x
2 1/4 = 1 2/7 divided by x
Answer:
x = 4/7 or 0.571428571
Step-by-step explanation:
Evaluate p(x) = -3 + 4x when x = -2, 0, and 5.
p(-2) =
p(0) =
p(5) =
your answer is provided in the above image
n element with mass 570 grams decays by 18% per minute. How much of the element is remaining after 13 minutes, to the nearest 10th of a gram?
Answer:
Step-by-step explanation:
Exponential Functions:
y=ab^x
a=starting value=570
r=rate=18%=0.18
Exponential Decay:
b = 1 - r = 1 - 0.18 = 0.82
Write Exponential Function: put it all together
y=570(0.82)^13
Plug in time for x:
y=570(0.82)^13
y=43.197134 evaluate
ANSWER: y≈43.2 round
[tex]Write x^{2} -12x+19 in the form (x+a)^{2} +b[/tex]
Answer:
(x - 6)² - 17
Step-by-step explanation:
Given
x² - 12x + 19
Using the method of completing the square
add/ subtract ( half the coefficient of the x- term )² to x² - 12x
= x² + 2(- 6)x + 36 - 36 + 19
= (x - 6)² - 17
please simplify 5(x-1)
Answer:
5x-5
Step-by-step explanation:
Just use distribuative property
4 movie tickets cost $48 how much does it cost for one movie ticket and how much does it cost for a five movie tickets?
Answer:
one movie ticket is 12$ and 5 is 60$
Step-by-step explanation:
divide 48 by 4 = 12 then to find how much it is per ticket multiply 4*12 = 48
Round to the nearest whole percent if necessary. Is the percent of change an increase or decrease? 100 to 150
Answer: 50% increase
Step-by-step explanation:
John wrote that 5+5=10. Then he wrote that 5+5+n=10+n. Are the equations John wrote equivalent? Explain (in your solution justify by stating what property of equality he used).
Answer:
They are equivalent
Step-by-step explanation:
n would equal the same, and 10 and 5+5 equal the same. Therefore, whatever n is, they will be equal no matter what. Unless you subtract the n from one side and add on the other.
Answer:
Step-by-step explanation:
yesh
Can you Find the value of x I don’t know the answer
Answer:
x = 5
Step-by-step explanation:
Step 1: Subtract 3x from both sides.
x+4−3x=3x−6−3x
−2x+4=−6
Step 2: Subtract 4 from both sides.
−2x+4−4=−6−4
−2x=−10
Step 3: Divide both sides by -2.
−2x /−2 = −10 /−2
x = 5
the tank in Jacques' car has a capacity of 133 l of gas. he filled up at the gas station by adding 89 l to the tank. how much gas was in the tank before he filled it up
a 440 g
b 44 kg
c 44 g
d 44 l
Answer:
vftghjm
Step-by-step explanation:
Levi is going to see a movie and is taking his 5 kids. Each movie ticket costs $14 and there are an assortment of snacks available to purchase for $4 each. How much total money would Levi have to pay for his family if he were to buy 6 snacks for everybody to share? How much would Levi have to pay if he bought x snacks for everybody to share?
Answer:
Levi would have to pay $94 if he bought all 5 kids movie tickets and 6 snacks for everyone to share (god that's a lot of money for a movie)
Step-by-step explanation:
Due in 15 minutes helppppp
Answer:
13,5,12 inches hope this helps
Step-by-step explanation:
the quadratic function f(x)=x^2-8x-4.
Answer:
f(x)=(x-4)^2-20
Step-by-step explanation:
hope this helps!
What is the y-intercept of a line that has a slope of –3 and passes through point (0, –7)?
A. -7
B. –3
C. 0
D. 4
Answer:
A) - 7
slope -intercept form y = - 3x - 7
slope m =-3 and y - intercept c = -7
Step-by-step explanation:
Explanation:-
Given that slope 'm' = -3 and point (0,-7)
The equation of the straight line passing through the point and having slope 'm'
y - y₁ = m ( x- x₁)
The equation of the straight line passing through the point ( 0,-7) and slope m = -3
y - (-7) = -3 ( x -0)
y +7 = -3x
3x +y + 7=0
The equation of the line 3x +y + 7=0
Final answer:-
slope -intercept form y = - 3x - 7
slope m =-3 and y - intercept c = -7
Use the work shown to find the image of point W(−5, −3) after a 180° clockwise rotation.
(x, y) → (−x, −y)
Multiply the x-coordinate by −1: (−5)(−1) = 5
Multiply the y-coordinate by −1: (−3)(−1) = 3
Simplify.
What is the coordinate of the image point W’?
W’(–5, –3)
W’(–5, 3)
W’(5, –3)
W’(5, 3)
Answer:
W’(5, 3)
Step-by-step explanation:
edg its d
Answer:
the correct answer is d
Step-by-step explanation:
can someone plz help me with this?
Someone help me ASAP thank you
Answer:
1/2
Step-by-step explanation:
sin
(
20
)
cos
(
10
)
+
cos
(
20
)
sin
(
10
)
Decimal Form:
0.5
Answer:
c or b please dont get mad if i get it wrong
Step-by-step explanation:
your welcome
12 batteries cost $30 = ? dollars per battery
Answer:
2.50
Step-by-step explanation:
You just divide 30 by 12... and that will give you the cost of one battery.