Answer:
The leading coefficient is 1 and the linear term coefficient is an even number
Step-by-step explanation:
Leading coefficient must be one for the application of completing square method. If the completing square is not one than we must apply other methods like Ac method, quadratic formula to solve the equation. To solve the equation with completing square the numerical value must be on other side of the equation. In this method we multiply linear term’s coefficient with one-half and square it therefore, completing square is suitable method for the equation having leading coefficient is 1 and linear coefficient is even.
The results from a random sample of 150 students' after-school activities at a school are shown. 68 students prefer soccer. 59 students prefer basketball. 23 students prefer swimming. Part A If there are a total of 500 students in the school, what is the best approximation for how many students in the school prefer basketball? 197 students 197 students 227 students 227 students 295 students 295 students 303 students 303 students
Answer:
≈ 197 students
Step-by-step explanation:
Let's start by writing what we know.
150 students sampled
68 prefer soccer
59 prefer basketball
23 prefer swimming
Part A
If 59 students prefer basketball out of the 150 students sampled then we divide 59/150 in order to get the percentage of students that prefer basketball.
59/150 ≈ 39.33% Remember this is only a sample of the students so it is approximate.
Now that we have the percentage, we can multiply it by the entire student body to get an approximate number of all students that prefer basketball.
39.33% = .3933
.3933 * 500 = 196.66 ≈ 197 students (because we can't have a partial student we round up)
The best approximation of the number of students in the school who prefer basketball is 197.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
The results from a random sample of 150 students' after-school activities at a school are shown.
68 students prefer soccer. 59 students prefer basketball. 23 students prefer swimming.
The percentage of students who prefer soccer will be
[tex]\rightarrow \dfrac{68}{150} = \dfrac{34}{75}[/tex]
The percentage of students who prefer basketball will be
[tex]\rightarrow \dfrac{59}{150}[/tex]
The percentage of students who prefer swimming will be
[tex]\rightarrow \dfrac{23}{150}[/tex]
If there are a total of 500 students in the school. Then the best approximation for how many students in the school prefer basketball will be
[tex]\rightarrow \dfrac{59}{150} \times 500 = 196.667 \approx 197[/tex]
More about the percentage link is given below.
https://brainly.com/question/8011401
Jenny explained to Robert that only rational numbers are considered as a set of real numbers. Robert disagreed stating that irrational numbers could also be a set of real numbers explain which student is correct
Answer: Robert is correct, irrational numbers are part of real numbers.
Explanation:
In mathematics, numbers are classified into different groups or seats. In the case of real numbers, these are a broad category that includes all numbers that can be represented on a line. Moreover, this category includes smaller categories such as rational numbers, for example, 15, 2.4 or 6/2 that can be represented as fractions, as well as, irrational numbers such as [tex]\pi[/tex] that cannot be fractions. In this context, Jenny is incorrect and Robert is correct because irrational numbers are also real numbers.
3/a x - 4 = 20. x equals -2
Answer:
[tex]\Large \boxed{a=\frac{-1}{4} }[/tex]
Step-by-step explanation:
[tex]\displaystyle \frac{3}{a} \cdot x - 4 = 20[/tex]
Let x = -2.
[tex]\displaystyle \frac{3}{a} \cdot (-2) - 4 = 20[/tex]
Solving for a.
[tex]\displaystyle \frac{-6}{a}- 4 = 20[/tex]
Adding 4 to both sides.
[tex]\displaystyle \frac{-6}{a} = 24[/tex]
Multiplying both sides by a, then dividing both sides by 24.
[tex]\displaystyle \frac{-6}{24} = a[/tex]
Simplifying.
[tex]\displaystyle \frac{-1}{4} = a[/tex]
Pls pls pls help me!!!!
Answer:
Simplify the expression.
30.9ft
Step-by-step explanation:
you ' re welcome ! grandma loves you < 33 ; )
Solve for x:
2 + 10 ≥ 24 or 1 − 4 < 4
Answer:
There is no x in the question
Phill weighs 120 pounds and is gaining ten pounds each month. Phil weighs 150 pounds and is gaining 4 pounds each month. How many months, m, will it take for Bill to weigh the same as Phil?
Answer:
5 months
Step-by-step explanation:
You had a typo and said that Phil weighed both amounts so I'm assuming that the second amount is Bill's weight
We can use LCM for this
So lets make a list for both of them
Phil:120, 130, 140, 150, 160, 170, 180, 190, 200
Bill: 150, 154, 158, 162, 166, 170, 174
As you can see here, after 5 months, they will have the same weight.
We can check our work to.
lets do 120+(10*5)=170
and 150+(4*5)=170
I hope this makes sense
The area of a rectangle is (x2 - 5x - 36). What is the width if the length of the rectangle is (x + 4)?
Answer:
Step-by-step explanation:
The width of the rectangle is (x - 9)
(x + 4)(x - 9)
x^2 - 9x + 4x - 36
x^2 - 5x - 36
Answer:
W = ( x - 9 )
Step-by-step explanation:
The area of a rectangle is equal to the length times the width of the rectangle.
So we can say A = LW
A = (x^2 - 5x - 36)
L = (x + 4)
A = LW
W = A / L
W = (x^2 - 5x - 36) / (x + 4)
W = (x + 4) (x - 9) / (x + 4)
W = (x - 9)
Cheers.
If a cylinder has a height of 19 cm and a diameter of 60 cms calculate how much liquid this cylinder can hold
Answer:
53721.23
Step-by-step explanation:
V=πr^2h
v = 3.14(30)^2(19)
v = 53721.23
Answer:
a cylinder can hold a liquid of 53,721 cm³
Step-by-step explanation:
volume of a cylinder = π r² h
vol = π * (60/2)² * 19
vol = 53,721 cm³
question is givenin the photo given above
Step-by-step explanation:
In order to meet at point F, line DF must travel from the top line to the bottom line. If it crosses through E, the midway, that means that it is halfway to the bottom line. This means the distance D E is equal to E F, because both are the distance from midpoint E to one of the sides (top or bottom).
If D E and E F are equal length, then AB and BF must be the length as well, as it is the length DF line takes to get halfway down from the top. Since they are the same length, A F must be twice the length of AB.
Hope this helped!
given that m2(n-l) m=-2 and n=3/4
Answer:
when m= -2 and n=3/4.
-2^2.(3/4-1).
-4(-1/4)
=1.
Find the complement and supplement of the angle with measure 40 degrees
Answer:
The complement is 50 and the supplement is 140
Step-by-step explanation:
Complementary angles add up to 90. Supplementary angles add up to 180. We simply need to subtract to find the difference to fill the gap.
90-40=50
180-40=140
The complement is 50 and the supplement is 140
Answer:
complement angle to 40 degrees is 50 and the supplement angle to 40 degrees is 140
Step-by-step explanation:
complement angle to 40 degrees is 90 - 40 = 50 degrees
Supplement angle to 40 degrees is 180 - 40 = 140 degrees.
The elevation of lake sam rayburn is 164 above mean sea level during the summer if it does not rain the elevation of the lake decreases by 0.5 feet each week
Answer:
I guess that you want to model the elevation of Lake Sam Rayburn.
During the summer, it is 165 ft above the sea level (the sea level is our position 0ft).
If it does not rain, the elevation of the lake decreases by 0.5ft each week.
So if we assume that there is no rain, we can write the elevation fo the lake as a linear relationship with slope equal to -0.5ft and y-intercept equal to 165ft.
L(w) = 165ft - 0.5ft*w
Where w is the number of weeks without rain, if we have 0 weeks without rain, then the level of the lake remains constant at 165ft above sea level,
L(0) = 165ft - 0.
Hello I wanted to ask if this was right or if im doing it wrong since i am consfused on why there is a second point
Sara had 94 dollars to spend on 6 books. After buying them she had 16 dollars. How much did each book cost?
Answer:
each of them costed at least 16 dollars only because if you divide 94 and six your answer would be 15.6666666667 and if you round that it would be sixteen. I am confused what else the question is asking. I apologize if it did not answer your question
The figures below represents which type of transformation?
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GA
Reflection across the y-acis. (x,y) --> (23)
Translation up 10 units (x, y) --> (x, y = 10)
Rotation 180°. (*--> -x, y)
Reflection across the x-axis. (x, y) --> (x, y)
Answer:Step-by-step explanation:x+2(-4) yx
Tiana has already cycled 17 kilometers this year, plus she plans to cycle 3 kilometers during
each trip to work. How many trips will Tiana have to make to cycle a total of 44 kilometers?
Answer( 9 trips )
Step-by-step explanation:
44-17=27
27/3=9
basically you take away 17 kilometers she has already cycled from 44 then divide by 3 because each trip is 3 kilometers which equals 9 trips left.
hope this helped :)
Answer:
9 trips
Step-by-step explanation:
44 minus 17 equals 27
Tiana cycles 3 kilometers every trip to work so to travel 27 more kilometers she will need 9 trips
The sum of the angle measures of a quadrilateral is 360∘. Write and solve an equation to find the value of x.
the three nubers are 100 100 120
Answer:
x = 20
Step-by-step explanation:
360 = 100 + 100 + 120 + x
360 = 340 + x
x = 360 - 340
x = 20
caroline is taking a road trip on 1-70 in kansas. she stops for gas at mile marker 36. her destination is at mile marker 353 in topeka, but she decides to stop at an attraction 3/4 of the way after stopping for gas. at about which mile marker did caroline stop to visit the attraction.
BTW not middle school
Answer:
274
Step-by-step explanation:
First stop of Caroline = At 36 mile marker
Destination of Caroline = At 353 mile marker
Distance left to be covered = 353 - 36 = 317 miles
Given that Caroline decides to stop at an attraction [tex]\frac{3}{4}[/tex] of the way after she stops for gas.
i.e. at a distance [tex]\frac{3}{4}[/tex] of 317 miles away from the Gas stop.
[tex]\frac{3}{4} \times 317 = 79.25\times 3 \approx 238\ miles[/tex]
So, Caroline stops at a point which is around 238 miles away from the gas station.
To calculate the Mile marker of her stop, we need to add the mile marker of gas station and the distance of her stop from gas station.
Mile marker location at her stop = 36+238 = 274
$7.79 + $0.89 + $412.37 + $7
Answer:
428.05
Step-by-step explanation:
Answer:
428.05 US$
Step-by-step explanation:
You add each piece of money to each other
You start with 7.79 and 0.89
then 412.37 and 7
then you get 8.68 and 419.37
you add those to get 428.05
51:26
A triangle on a coordinate plane is translated according to the rule T-3, 5(x, y). Which is another way to write this
rule?
x
(x,y) → (x - 3, y + 5)
O (x, y) - (x-3, y-5)
O(x, y) = (x + 3, y-5)
O(x, y) = (x + 3, y + 5)
Answer: x+3,y+5
Step-by-step explanation:
Jon was given a radical to simplify. His original problem had nothing already
simplified outside of the square root. His answer was 2xy^3z^4√3xz. What
must have been the original radical that Jon was given?
Answer:
[tex]\sqrt{12x^3y^6z^9}[/tex]
Step-by-step explanation:
[tex]2xy^3z^4\sqrt{3xz}=\sqrt{(2xy^3z^4)^2(3xz)}=\sqrt{(2^2)(3)(x^2)(x)(y^6)(z^8)(z)}\\\\=\boxed{\sqrt{12x^3y^6z^9}}[/tex]
_____
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
a√b = √(a^2·b)
(a^b)(a^c) = a^(b+c)
find ST and TR
Will mark brainest
Hello there! :D
Firstly, I want you to understand an important concept. This has something to do with absolute value. So, although distance is a number, it is neither positive nor negative. It does not necessarily involve value. So, what we are looking for today will not have a negative sign in front of it. We are simply looking for distance!
Let's start with ST, because the distance between those is smaller and therefore I can better explain this to you. T is at the point 19.1, and S is at the point 14. We need to find the amount of distance between the two. How do we do that?
Subtraction! In order to find this value we can subtract the smaller number from the larger number.
19.1-14= 5.1
ST is 5.1
Now we can look at the distance between TR. We are actually going to add numbers together! We know that T is 19.1. If we were to put a dot at zzero and measure that distance, it would be 19.1. What is the distance from R to zero? That's right! The same principle is there. If we had a dot at zero and we're measuring from 4, the distance would be 7.5 (even though it is negative on the number line).
So, we can add these numbers together!
19.1+7.5= 26.6
TR is 26.6
I hope this helped you and you have a wonderful day,
Kai xx
Give three examples of objects that have potential energy
Answer:
A car parked on a hill, A raised weight, A snow pack.
Step-by-step explanation:
To summarize, potential energy is the energy that is stored in an object due to its position relative to some zero position. An object possesses gravitational potential energy if it is positioned at a height above (or below) the zero height.
Three examples of objects that have potential energy are, a child at the top of the seesaw in play-ground, water in dam, rock kept at some finite height of hill.
What is Potential Energy ?
The energy possessed by a body due to its position or configuration is known as potential energy. when an object is at rest, velocity is equal to zero, thus velocity of the object doesn't contribute to potential energy, it only depends upon gravitational constant "g", height h of the object above the Earth's surface and mass m of the object.
The basic formula to determine the Potential Energy possessed by the body is given by :
P.E = mgh
examples of objects that are having potential energy are :
1) a child at the top of the seesaw in play-ground.
2) water in dam.
3) rock kept at some finite height of hill.
Learn more about "Energy" here:
https://brainly.in/question/49548283
#SPJ2
Find the quotient.
0/6
Answer:
0
Step-by-step explanation:
Any number divided by zero is undefined.
Zero divided by any number other than zero equals zero.
0/6 = 0
Answer: 0
Answer:
0
Step-by-step explanation:
Anything divided or multiplied by 0 equals 0.
Solve x(−2)3=−2(5). The solution is x=
. Зу - 18 = -2 + 5y
Answer:
y = -8
Step-by-step explanation:
-18+2 = 5y-3y
-16 = 2y
y = -8
If you need more explaining notify me
Find FH
HELP
Please
Answer:
19
Step-by-step explanation:
FH is FG = GH which is 4+15=19
On the basketball team,
Steph Curry made 40% of the
team's points. If he scored
42 points, how many total
points did the Golden State
Warriors score?
Answer:
105 pointsStep-by-step explanation:
1%=0.01 ⇒ 40% = 40•0.01 = 0.4
x - total of team points
40%x = 42
0.4x = 42
÷4 ÷4
0.1x = 10.5
•10 •10
x = 105
Answer:
105 points
Step-by-step explanation:
You use it to form general ideas and rules based on your experiences and ______.
Calculating the Volume of a Cylinder
Calculate the volume of this regular solid.
What is the volume of the cylinder? Round your answer
to the nearest hundredth.
cm?
В B.
13 cm
4 cm -
Answer:
The answer is 653.45
Step-by-step explanation: