An equation is formed of two equal expressions. The missing pieces of the solution of the quadratic equation are 50, 3, and -8.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
To fill the missing piece of the solution of the quadratic equation, you need to balance each of the equations. Therefore, the solution to the problem can be written as,
[tex]-32 = 2(x^2 + 10x)\\\\-32 + 50 = 2(x^2 + 10x + 25)\\\\18 = 2(x + 5)^2\\\\9 = (x + 5)2\\\\\pm 3= x + 5\\\\x = -2\ \ {\rm or}\ \ x = -8[/tex]
Thus, the solution of the quadratic equation is -2 or -8.
Hence, the missing pieces of the solution of the quadratic equation are 50, 3, and -8.
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A veterinary office pays PupFood $32. 75 for each bag of dog food. If the office spent $655, how many bags of food did they purchase? (Use only a number for your answer)
Answer:
20 Bags
Step-by-step explanation
The total costs would be given by the formula:
Total $ = (Bags of Food)*(Cost/bag)
We know total cost and price per bag:
$655 = (Bags of Food)*($32.75/bag)
Bags of Food = ($655/$32.75)
Bags of Food = 20 Bags
PLEASE HELP!!
For systems of inequalities, graph each system on a coordinate plane to show the solution region. Next, use the graph to answer the question. Be sure to define your variables and show all of your work.
Q.1. One type of trail mix is 20% walnuts. Another type is 35% walnuts. How much of each type should be combined to form a 12-pound mix that is 30% walnuts?
Answer:
answer is 75
Step-by-step explanation:
you need to add all of them then take away 12 then you get your answer.
What is the length of the altitude of the equilateral triangle below?
"
81330
813
60° 90°
60"
Answer:
F. 12
Step-by-step explanation:
There are two right triangles.
Hence, we can solve for the missing side using the Pythagorean Theorem using one of these triangles.
Let's take the left one.
a² = (8√3)² - (4√3)²a² = 192 - 48a = √144 a = 12The length of the altitude is 12.
The correct option is : F. 12
The length of an altitude is 12 units.
The correct option is 12.
What is Pythagoras' theorem?Pythagoras' Theorem states that the square of the hypotenuse side of a right-angled triangle is equal to the sum of the squares of the other two sides.
As per the information provided, it is given that the triangle is an equilateral triangle.
The side of the triangle is 8√3 units.
To find the length of the altitude of the equilateral triangle:
Let the length of altitude is h units.
Then, as per Pythagoras' theorem,
h² = (8√3)²- (4√3)²
h² = -16(3) + 64(3)
h = -48 + 192
h² = 144
h = 12
Therefore, h = 12 units.
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a system of equations is shown. 4x-y=5 y=-3 what is the value of x in the solution to this system
Answer:
x = 1 / 2 ( or ) 0.5
Step-by-step explanation:
4x - y = 5
Substitute the value of y = - 3 in the given equation,
4x - ( - 3 ) = 5
4x + 3 = 5
4x = 5 - 3
4x = 2
x = 2 / 4
x = 1 / 2 ( in terms of fraction )
( or )
x = 0.5 ( in terms of decimal )
Note : -
- ( - 3 ) can be written as - 1 x ( - 3 ).
When a negative number is multiplied with another negative number, the result will be positive number.
Hence,
- ( - 3 ) = + 3
Determine if you can make a triangle from the 3 given side lengths.
3 cm, 16 cm, and 8 cm
Check the picture below.
we have three sides, let's look at the two smaller sides first.
check picture atop
if we move the sides closer and ever closer to each other, to the extent that one is right on top of the other, what is the length of the red side? Well, assuming the two smaller sides are one pancaked on top of the other, the red side will be as long as 8 - 3 = 5. However, the sides can't be on top of each other, because if that's so, we have a flat-line, and thus we wouldn't have a triangle. So whatever the third side may be, it must be greater than 5.
check picture below
Now, if we move the sides away from each other, farther and farther to the extent that one is parallel to the other, then the third side will just be as long as 3 + 8 = 11. However, we can't do that, because if that were to happen, we again will have a flat-line and not a triangle. So whatever the third side may be, it must be less than 11.
well, needless to say, the 16 cm side, is outside that range, so, hmmm no dice.
At a high school, the probability that a student is a senior is 0.25. The
probability that a student plays a
sport is 0.20. The probability that a student
is a senior and plays a sport is 0.08.
What is the probability that a randomly selected student plays a sport, given
that the student is a senior?
• A. 0.08
O B. 0.32
• C. 0.17
D. 0.25
Answer:
B. 0.32
I guessed and it was right
The probability that a randomly selected student plays a sport, given that the student is a senior, is 0.32.
The correct answer is B. 0.32.
To find the probability that a randomly selected student plays a sport, given that the student is a senior, we can use the formula for conditional probability:
P(plays a sport | senior) = P(plays a sport and senior) / P(senior)
Given that P(plays a sport and senior) = 0.08
and P(senior) = 0.25,
we can substitute these values into the formula:
P(plays a sport | senior) = 0.08 / 0.25
P(plays a sport | senior) = 0.32
Therefore, the probability that a randomly selected student plays a sport, given that the student is a senior, is 0.32.
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PLEASE HELP URGENT
Given \tan \theta =0.6, find the value of b
[tex] \tan(theta ) = \frac{5.3}{b} \\ [/tex]
[tex]0.6 = \frac{5.3}{b} \\ [/tex]
[tex]b = \frac{5.3}{0.6} \\ [/tex]
[tex]b = 8.83 \: \: cm[/tex]
pleaseeeeeee helppppppp meeeeeeeeeeeeeeeee
Answer:
60%
Step-by-step explanation:
lets assume that the weight of K's bag is 100 just to make it easier.
K's bag=100
M's bag=120
D's bag=75
to find the percentage of M's bag over D's we divide D's over M's
75/120= 62.5%
Then round down to the nearest tens
62.5=60
Please help asap tysmm
Use an equation to find the value of each indicated variable.
show your work and show how you found your answer.
Answer:
[tex]y = 36 \\ z = 54[/tex]
Step-by-step explanation:
[tex]3y + 2y = 180 \\ 5y = 180 \\ y = 36[/tex]
[tex]y + z + 90 = 180 \\ y + z = 90 \\ 36 + z = 90 \\ z = 90 - 36 \\ z = 54[/tex]
PLEASE HELP 75 POINTS
Answer:
Top of one step: 2.5 ft
Front of one step: 1.25 ft
One side of stairs: 5 ft
Total surface area: 25 ft
–(9y – 1) answer to problem
Given ques:-
–(9y – 1) solve?Answer:-
-(9y-1) here ( - ) minus is distributed to 9y nd -1which gives,
-9y+1Hope it help ~
[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
how do i do dis i need help i get it i just cant get the right answer i need super nanny
Answer:
The answer of point 4 is:
[tex]distance = \sqrt{ {4}^{2} + {11}^{2} } \ = (11.70469991072)[/tex]
(1) Angle 1 and angle ____ are supplementary angles.
(2) Angle 8 and angle ____ are corresponding angles.
(3) Angle 6 and angle ____ are vertical angles.
Answer:
Step-by-step explanation:
8) angle 2 (or angle 3)
9) angle 4
10) angle 5
Answer:
(1) Angle 1 and angle __2__ are supplementary angles.
(2) Angle 8 and angle __4__ are corresponding angles.
(3) Angle 6 and angle __7__ are vertical angles.
Mark me brainliest please
pls help me and if you dont know the answer dont answer this
Answer:
A no. is correct
Step-by-step explanation:
Hope it will help you..
Select the expression that has a value of 23.
Question 5 options:
6 + (9 x 3) ÷ 3 + 8
(6 + 9) + 3 ÷ 3 + 8
6 + 9 x 3 ÷ (3 + 8)
(6 x 9 x 3) ÷ 3 + 8
om was in a contest at the library to read as many book as wiree months. At the end of the content he camerkets for the he read. The table below shows on tumber of cok read canh *** BOOKS SAM READ Month January February March Number of Books 15 13 16 Mam was able to buy a prize for every 5 tickets he had earned. Sam bought as many prizes as he could with his tickets? How many prizes was sam able to buy 2 Show your work and explain your answer.
The number of prizes that Sam was able to buy based in the division illustrated is 17 prizes.
How to calculate the prize?The total number of books that was read will be:
= 15 + 13 + 16
= 44 books
Since he earned 2 tickets for each bok read, the number of tickets gotten will be:
= 2 × 44
= 88
Finally, Sam was able to buy a prize for every 5 tickets he earned. Therefore, the number of prizes will be:
= 88/5
= 17 tickets
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Choose the logarithmic form of the exponential equation 3^7 = (4x+3).
Answer:
546
Step-by-step explanation:
4x3^7=2187
so now its
2187=4x+3
subtract 3 from both sides
now its
2184=4x
divide both sides by 4
546=x
If number of electricity power failures occur according to a Poisson distribution with an average of 4 failures per 5 months. 12. What is the probability that there will be at least one failure during the coming month
Answer:
123
Step-by-step explanation:
Help please
Number 4
Answer:
you need to enlarge the picture so I can see it
Step-by-step explanation:
Then I'll edit my answer and do the problem.
a cube numbered 1-6 is rolled 30 times and lands on an even number 18 times how does the frequency based on the probability of the number cube landing on an even number
A rectangle with a perimeter of 18 miles and a width of 7 miles.
What is the length of the rectangle?
Answer:
2 miles
Step-by-step explanation:
A rectangle has two widths
7 + 7 = 14
18-14=4
It also has two lengths
4/2=2
2 miles
Hope this Helps
Happy Earth day
Answer:
2 miles
Step-by-step explanation:
Perimeter is figured out by adding all 4 sides of a rectangle.
So if the width is 7 miles on 1 side, the other width side is also 7 miles.
If the perimeter was 18 miles and 14 miles of that was the width on both sides, that leaves only 4 miles left for the 2 length sides. That means each length side is 2 miles.
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I NEED THIS ASAP! I WILL GIVE BRAINLEST, 5 STARS, AND LOTS OF POINTS IF U ANSWER CORRECTLY THANKS.
Answer:
This is an obtuse scaline triangle.
Step-by-step explanation:
Hope I Helped!!
It's #1 pls help me with this thank u
Answer:
y = [tex]\frac{1}{2}[/tex] x + 4
Step-by-step explanation:
1). Slopes of ║ lines are equal.
2). Equation of the line passing through the point ( [tex]x_{1}[/tex] , [tex]y_{1}[/tex] ) is
y - [tex]y_{1}[/tex] = m( x - [tex]x_{1}[/tex] )
~~~~~~~~~~~~~~~~~~
y = [tex]\frac{1}{2}[/tex] x - 10 , slope m = [tex]\frac{1}{2}[/tex]
( 2 , 5 )
y - 5 = [tex]\frac{1}{2}[/tex] ( x - 2 )
y = [tex]\frac{1}{2}[/tex] x - 1 + 5
y = [tex]\frac{1}{2}[/tex] x + 4
#1
y=1/2x-10Comapre to slope intercept form
Slope=m=1/2Parallel lines have equal slope
Equation of parallel line in point slope form
y-5=1/2(x-2)2y-10=x-22y=x+8y=1/2x+4There are 5 red, 18 green, and 17 blue pens in a bag. Leah selects a pen 800 1
times without looking. Before each selection, she replaces the pen in the
bag. Write and evaluate an expression to predict the number of times Leah
selects a pen that is red or green. *
The number of times Leah is expected to select a pen that is red or green is 460 and the expression is 23/40 * 800
How to determine the expected selection of red or green pen?The distribution of the pen is given as:
Red = 5
Green = 18
Blue = 17
The number of red or green pen is:
Red or green = 5 + 18
Evaluate
Red or green = 23
In a selection of 800 pen, the expected number of red or green pen is:
E(x) = 23/(5 + 18 + 17) * 800
Evaluate the sum
E(x) = 23/40 * 800
Evaluate the expression
E(x) = 460
Hence, the number of times Leah is expected to select a pen that is red or green is 460
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plese huryyyyyyyyyyyy!!!!!!!!!!!!!!!!!!!!!!
Answer:
See below ↓↓
Step-by-step explanation:
Formulas to keep in mind
Volume (cone) = 1/3πr²hVolume (sphere) = 4/3πr³Solving
It's given in the question that the volumes are equal and height of the cone is 96 unitsEquate the volumes and substitute the value of h⇒ 1/3πr₁²h = 4/3πr₂³
⇒ r₁² x 96 = 4 x r₂³
⇒ r₂³ / r₁² = 24
⇒ r₂ (Radius of sphere) = 2.88 units
⇒ r₁ (Radius of cone) = 1 unit
-2x+2y=-2
3x+2y=8
solve the system of equations
Answer:
The answer to the first equation is x=y+1
The answer to the second equation is x= -2/3 y+8/3
Step-by-step explanation:
Equation Solver
What do you want to calculate?
Solve for Variable
Graph
Solve for:
x
Let's solve for x.
−2x+2y=−2
Step 1: Add -2y to both sides.
−2x+2y+−2y=−2+−2y
−2x=−2y−2
Step 2: Divide both sides by -2.
−2x
−2
=
−2y−2
−2
x=y+1
Answer:
x=y+1
2. Let's solve for x.
3x+2y=8
Step 1: Add -2y to both sides.
3x+2y+−2y=8+−2y
3x=−2y+8
Step 2: Divide both sides by 3.
3x/3=-2y+8/3
x=-2/3 y+8/3
Answer:
x= -2/3 y+8/3
[tex]\large\color{pink}{{★ƛƝƧƜЄƦ ↦}}[/tex]
↪ By Substitution method
⇒Eq.1
-2x+2y=-2y = -2 +2xSoo value of y => y = 2x-2
↪ Substituting y= 2x-2 in ( 3x+2y = 8)
3x+2(2x-2)=83x+4x-4=8 (solving like terms)6x=12[tex]x = \cancel \frac{12}{6} [/tex]x = 2↪ Substituting x = 2 in eq 1 to get y
-2x+2y=-2-2(2)+2y=-2-4+2y=-2(solving like terms)2y= -2+42y= 2[tex]y = \cancel\frac{2}{2} [/tex]y=1↪ hence, (2,1) is the solution ~
[tex]\sf{\:мѕнαcкεя\: ♪...}[/tex]
help me now !!!
-11=t-5
help me
Answer:
[tex]\huge\boxed{\bf\:-6 = t}[/tex]
Step-by-step explanation:
[tex]-11 = t - 5[/tex]
Bring - 5 to the right hand side of the equation.
[tex]-11 = t - 5\\-11 + 5 = t\\\boxed{\bf\:-6 = t}[/tex]
[tex]\rule{150pt}{2pt}[/tex]
Hii student!
-- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- -- -- -- -- - -- - -- -- -- --
[tex]\ddagger\leadsto\mid\boldsymbol{Answer.}\mid\gets\ddagger[/tex]
The value of t = -6
-- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- - -- -
[tex]\ddagger\leadsto\mid\boldsymbol{explanation!}\mid\gets\ddagger[/tex]
We have the equation [tex]\sf -11=t-5}[/tex]. And what we need to do is solve for the variable, t.
↪
To solve for the variable, we should ensure that the variable we need to solve for is all by itself on one side of the equation.
T is not all by itself, [tex]\because[/tex] 5 is subtracted from it.
So what do we do to "remove" that 5 from there? Wouldn't it be great if there was a zero instead of the -5?
We can make that happen by adding 5 to both sides.
We add 5.
[tex]\sf -11=t-5+5}\\-11=t+0}\\-11=t[/tex]
[tex]\bullet[/tex] However, we also need to add 5 to the other side.
[tex]\sf -11+5=t}[/tex]
Simplify!
[tex]\sf -6=t}[/tex]
NOW the variable, t, is all by itself.
↪
Tip: Why not check your work and make sure there are no mistakes?
We can proof-read, but we can also do this:
Plug in the solution (t=-6) into the original equation.[tex]\sf -11=-6-5}[/tex]. Upon simplification, we obtain
[tex]\sf -11=-11[/tex]
Since both sides (the left hand side, l.h.s. and the right hand side, r.h.s. are the same, our solution, t=-6, is correct. Great job!
--
Hope that this helped! Best wishes,
[tex]\textsl{Reach far. Aim high. Dream big.}[/tex]
[tex]\boldsymbol{-Greetings!-}[/tex]
--
A correlation coefficient is a numerical index that reflects the relationship between ______ . a. three variables b. one variable c. one variable and two variables d. two variables
A correlation coefficient is a numerical index that reflects the relationship between two variables.
What is the correlation coefficient?The correlation coefficient helps us to know how strong is the relation between two variables. Its value is always between +1 to -1, where, the numerical value shows how strong is the relation between them and, the '+' or '-' sign shows whether the relationship is positive or negative.
1 indicates a strong positive relationship.-1 indicates a strong negative relationship.A result of zero indicates no relationship at all, therefore, an independent variable.The given blank in the sentence can be filled with two variables.
Hence, A correlation coefficient is a numerical index that reflects the relationship between two variables.
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In a right triangle, angle φ has a tangent value 1.40. The side adjacent to angle φ has a length of 9.0 inches. What is the length of the side opposite angle φ?
54.4 inches
12.6 inches
9.1 inches
6.4 inches
Answer:
option 2 12.6 inches
Step-by-step explanation:
the answer is 12.6 inches
Answer:
2 12.6 inches
Step-by-step explanation:
have a great day!
Give the equation for the piece wise function. WILL GIVE BRAINLIEST IF GIVEN A ANSWER
Answer:
This is not a function
Step-by-step explanation:
take your pencil, place it vertically. If it lines up with two coordinates on top of eachother, it is not a function.