since we were given the key ( how it should be sort out or used )
then we get all the numbers out which are:
21, 23, 30, 32, 32, 35, 43, 44, 46, 48, 49, 49, 50, 52, 52, 53, 55
then we go ahead to answer the questions:
a) Range = highest number minus Lowest number
55 - 21 = 34
b) 17 (by counting all individual ages ).
c) Median = the middle age
(but before that, we must arrange the ages either a cording to their sizes either from biggest to smallest (descending order) or from smallest to biggest (ascending order)
so we arrange in ascending order but the numbers are already arranged so we don't have to stress ourselves:
Median = 46 (the number in the middle ).
Hope you ace your tests, Good luck ✅.
Find the product (-4/9) - (-3/8)
6.0000000001
Ans right
I forgot what multiples are bc I was on vacation and I forgot lots of things I learned
I'm usually smarter
Answer:
C. 6
Step-by-step explanation:
6*1=6
6*3=18
6*4=24
6*7=42
Hope this helps!
If not, I am sorry.
Triangle FGH is an equilateral triangle with sides measuring 34 StartRoot 3 EndRoot units.
Triangle F G H is shown. A perpendicular bisector goes from point G to point R on side H F. The length of G H is 34 StartRoot 3 EndRoot, the length of G F is 34 StartRoot 3 EndRoot, and the length of H F is 34 StartRoot 3 EndRoot.
What is the height of the triangle?
17 units
34 units
51 units
68 units
The height of the triangle FGH is equal to 51 units.
Triangle FGH is an equilateral triangle, thus we understand that each of its sides is identical.
Every side's length is specified as 34√3 units.
In order to split HF into two equivalent halves, use a perpendicular bisector. This implies,
34√3/2=17√3
By using the Pythagorean theorem, which states that the total of a triangle's two sides matches the square of its hypotenuse, we may determine the height.
a²+b²=c²
Here, a=17√3
b=height &
c=34√3
Therefore, from the above equation, we can say,
b²=c²-a²
⇒b²=(34√3)²-(17√3)²
⇒b²=([tex]34^{2}*3[/tex])-([tex]17^{2} *3[/tex])
⇒b²=3468-867
⇒b²=2601
⇒b=[tex]\sqrt{2601}[/tex]
⇒b=51 units
Hence, it is concluded that the height of the triangle is (c)51 units.
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Answer:
C. 51 units
Step-by-step explanation:
PLEASE ANSWER ASAP!!!!!!!!
Sally plots (−4,π)on the polar plane.
How does she proceed?
Drag a phrase to each box to correctly complete the statements.
Is this correct???
The drag phase you have given the interference would be a positive x-axis.
As Sally determines the angle of rotation, since it is π, she lies on the negative x-axis.
The first block then should be the negative x-axis if r is positive and on the positive x-axis if r is negative.
What is the interference form?
It is a phenomenon in which two or more waves superimpose to form a resultant wave of greater or lower amplitude.
My other reason for changing the dragged phase would be as they used the word, therefore, in the last sentence.
Which would mean interference from the above statements, from the drag phase you have given the interference would be a positive x-axis.
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Jamie has 5 jars to fill with beads for a carnival game. She has 7.5 cups of multi-colc
beads. Jamie wants to put an equal amount of beads in each jar. How many cups o
can she place into each jar?
Part A Use pictures to solve the problem.
Answer.
cup
Answer:
1.5 cups of multi-color beads per jar
Step-by-step explanation:
We are dealing with dividing fractions that tells us how many parts of a whole we have
7.5 cups of beads / 5 jars = 1.5 cups of beads per jar 5 whole cups goes into 7 jars with 2.5 cups remaining2.5 cups split into 5 jars can be evenly split into 0.5 cups per jarLearn more about dividing Fractions at: https://brainly.ph/question/246177
Visual Representation:
One factor of the function f(x) = x ^ 3 - 9x ^ 2 + 20x - 12 is (x - 6) Describe how to find the x- intercepts and the y-intercept of the graph f(x) without using Show your work and include all intercepts in your answer
Answer:
Therefore, the y-intercept is (-12, 0)
Which value of x would make triangle s u v is-congruent-to triangle t u m by hl? 2 3 4 5
The question is incomplete. Below you will find the missing content and figure
Which value of x would make triangle ΔSUV is congruent to triangle ΔTUM by HL? Options are 2 3 4 5
The figure is shown below.
The correct option is Option D: the value of x is 5.
Triangles are congruent if the triangles are of the same size and shape. If triangles are congruent the corresponding length of the sides is the same.
Here given that triangle ΔSUV is congruent to triangle ΔTUM.
By the property of the congruent triangle, as triangle ΔSUV and ΔTUM are congruent the corresponding sides are also same.
ΔSUV ≅ΔTUM
⇒ VS≅WT
Given in the question
VS= 2x+9
WT= 4x-1
from above it is clear that
VS=WT
⇒ 2x+9=4x-1
⇒4x-2x=9+1
⇒2x=10
⇒x=10/2
⇒x=5
Therefore the correct option is Option D: the value of x is 5.
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Answer:
It will be 5 on EDG 2022 Your welcome :)
Step-by-step explanation:
Who wants to solve a question.
Answer:
Step-by-step explanation:
5(p-3)
the 3 lbs she uses are being subtracted and then is being multiplied per lb
Sarah is y years old now. How could you represent her age 5 years ago? (pls help me)
1. y-5
2. 5 y
3. y divided by 5
4. y + 5
Answer:
so y represents her age right now so if we go back we are subtracting so he age would be y-5
a
Hope This Helps!!!
It’s math can you guys help me out 10 points:)
Answer:
90 liters
Step-by-step explanation:
According to the graph in order to gain $36 you must sell 90 liters. Hope this helps :)
Guysss I need to know the question
If you skip count by 4’s starting with 8, what will the 11 number be?
I need to know lang naman kase assignment ko ehh chaar nasa math book ko Baka kase pag arlan namin kaya ko tinatanong
Answer:
88 i think so
Step-by-step explanation:
Can someone help me please its geometry.
The figure showing the construction is given below.
Steps for the construction of a circle through three points not on a straight line are as follows:
1. To create two lines, connect the points.
2. Create the line's perpendicular bisector.
3. Create the opposite line's perpendicular bisector.
4. The circle's center is where they intersect.
5. Draw your circle by placing the compass on the center point and adjusting its length to reach any point.
What happens if the points are parallel?
The circle traveling through all three points will have an infinite radius if the three points are collinear, or all situated on a straight line. Therefore, a practical circle cannot traverse three collinear locations. The two radii would be parallel and would never come together at a center if you tried the construction. We may claim that they do cross mathematically but at infinity.
Hence, after following the steps we obtain the circle.
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5
6
7 8
10
TIME REMAINING
27:07
Terrence buys a new car for $20,000. The value of the car depreciates by 15% each year. If f(x) represents the value
of the car after x years, which function represents the car's value?
f(x)=20.000(085)*
Answer:
Step-by-step explanation:
Is there answer choices?
whats 555 divided by 5
Answer:
111
Step-by-step explanation:
555÷5=111
and just to check, 5×111=555
Answer:
555 divided by 5 = 111
Step-by-step explanation:
This is common knowledge. The 5 in the hundreds place is divisible by 5 to get a quotient of 1. The 5 in the tens place is also divisible by 5 to get a quotient of 1 and the same is equally true for the 5 in the ones place.
Hence, the quotient of 555/5 = 111
Hope this helps! :D
A set of equations is given below:
Equation C: y = 7x + 12
Equation D: y = 7x + 2
How many solutions are there to the given set of equations?
O One solution
OTwo solutions
O Infinitely many solutions
No solution
Answer: No solution
Step-by-step explanation:
Ths lines are parallel (as they have the same slope but different y-intercepts), and parallel lines never intersect. Thus, the system has no solutions because the lines never intersect.
Solve for X
130, 40, ?
Answer:
x = 90
Step-by-step explanation:
The other unlabled angle in the triangle forms a 180 degree angle with 130 degrees (because they make a straight line). So it can be found by subtracting 130 from 180, which equals 50.
The sum of all the angles in a triangle is 180.
180 - 50 - 40 = x
90 = x
Hello! My name is Galaxy and I'll be helping you solve this problem. We can split this problem into two steps. Them being Theory and Solving.
I'll go ahead and start with the Theory.
TheoryWe can start off by looking at the image you've provided, we can see a triangle that has 2 angles given of a triangle, and an exterior angle of the triangle.
This being said, we can apply the Exterior Angle Theorem.
We can now begin to solve for the missing angle.
SolvingWe can begin to solve by using our given angles to find the third angle.
According to the Exterior Angle Theorem, we know that the unknown angle along with the [tex]40[/tex]° angle must add up to the [tex]130[/tex]° angle.
Therefore, we can solve for [tex]x[/tex],
[tex]x+40=130\\x=130-40\\x=90[/tex]
After this, we know that angle [tex]x[/tex] is equal to 90°.
Cheers,
Galaxy
Which of the following represents the synthetic division form of the long division problem below? (2x ^ 3 - 6x ^ 2 + 4x + 7)/(x + 3)
determine whether the given graph is a function or not.
Answer:
Function
Step-by-step explanation:
Yes, the graph is a function. For each x value, there is a unique y value that corresponds with it.
A graph can also be tested as a function by using the popular "vertical-line test".
You have $40.00. You wish to buy a T-shirt costing $14.50. You would also like to buy a pair of jeans. There
is a 6% sales tax on clothing. What is the top tag price (excludes sales tax) you could pay for the jeans?
Please help due tomorrow
What transformations could have been used to map ABCE onto A’B’C’D’E?
Answer: This looks like it is a reflection of the y-axis and then an enlarging dilation.
Can someone help me out with this, it’s urgent. It’s geometry
The constructed bisector of line segment given below in the image.
Process to construct the bisector of a line segment :
Step 1 : Make the compass length ( the distance between the pointed leg and the pencil leg) slightly greater than half the length of the line segment OP. Place the point of the compass on O. Make arcs above and below the line segment OP.
Step 2 : Using the same compass length as same as the previous one, place the point of the compass on P. Make arcs above and below line segment OP. These arcs must intersect the arcs made in previous step.
Step 3 : Connect the points where the arcs intersect. Label the line segment MN and the point where the line intersects OP, Q.
Step 4 : Line segment MN bisects line segment OP at midpoint Q.
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what is the principle value of sin^-1(1)
The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. The principal value of sin⁻¹(1) is 90°.
What is Sine (Sinθ)?The Sine or Sinθ in a right-angle triangle is the ratio of its perpendicular to its Hypotenuse. it is given as,
Sin(θ) = Perpendicular/Hypotenuse
where,
θ is the angle,
Perpendicular is the side of the triangle opposite to the angle θ,
The hypotenuse is the longest side of the triangle.
The principal value of sin⁻¹(1) is,
θ = Sin⁻¹(1)
θ = 90°
Hence, the principal value of sin⁻¹(1) is 90°.
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True or false? Any fraction made up of two natural numbers is a rational number. Explain your answer.
Rational numbers are numbers that can be written in the form of a/b where a and b are integers.
What are Rational and Irrational numbers?Rational numbers are numbers that can be written in the form of a/b where a and b are integers.
Example: 1/2, 3.5 (which is writable as 7/5), 2(which is writable as 4/2), etc.
Irrational numbers are those real numbers that are not rational numbers.
For example √2, π, √13, etc.
It is an important thing to Know that all natural numbers are integers, and all integers are rational numbers. That means natural numbers are not irrational.
The given statement that any fraction is made up of two natural numbers is a rational number is true.
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In the first picture can you please answer all of them in order I'm not sure if my answers are correct.
The number of cookies packs needed if the treasurer buys 1 package of brownies bites is 5 packs
EquationTotal attendance = 75 peopleCookies in each pack = 12Brownies in each pack = 15Number of cookies pack = cNumber of brownies pack = b15b + 12c = 75
If 1 package of brownies is bought
15b + 12c = 75
15(1) + 12c = 75
15 + 12c = 75
12c = 75 - 15
12c = 60
c = 60/12
c = 5 packs
It is a reasonable value in this contextIf 9 packages of brownies are bought
15b + 12c = 75
15(9) + 12c = 75
135 + 12c = 75
12c = 75 - 135
12c = -60
c = -60/12
c = -5 packs
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49. Luke is putting a floor mat on his bathroom floor. The mat is
4 feet wide and 5 feet long. The floor is square with sides that
are 12 feet. The center of the mat is 73 feet from the wall.
X
733 ft
- Floor mat
bes stser pelazar to vilidad
Determine the distance from the edge of the mat, x, to the
opposite wall.
Answer:
54
Step-by-step explanation
(area of mat subtracted from area of room)-center of mat to wall
Express your answer as a decimal. 63÷12=
Answer:
5.25
Step-by-step explanation:
Answer:
5.25Step-by-step explanation:
type 63 : 12 in your calculator
see the example in the attachment.
What is the parent graph of f(x) = |(x/2 + 4)^2 +6|
Answer
The answer is A. y = x²
What subjects together do more than half of the class like?
Math 9 people
Science 3 people
Art 5 people
Writing 3 people
History 1 person
Math and Writing
Science and History
Art and Science
History and Math
Answer:
Math and Writing
Step-by-step explanation:
Well if we add up all the people we get (9 + 3 + 5 + 3 + 1) = 21. Half of that is 10.5 so the sum of the two subjects must be at least 11. The amount of people that like Math and Writing is 11 people so the two subjects that more than half the class like are Math and Writing.
Answer:
Math and Writing
Step-by-step explanation:
Number of students who like each subject:
Math = 9Science = 3Art = 5Writing = 3History = 1Total number of students = 9 + 3 + 5 + 3 + 1 = 21
Half of 21 = 21 ÷ 2 = 10.5
Therefore, more than half the class would be > 10.5 students
Total number of students who like:
Math and Writing = 9 + 3 = 12Science and History = 3 + 1 = 4Art and Science = 5 + 3 = 8History and Math = 1 + 9 = 10Therefore, the only combination of subjects that more than 10.5 students like is Math and Writing as 12 > 10.5
Determine the values for the pronumerals that make the following piece-wise functions continuous. (I really need help please).
Step-by-step explanation:
A function is continuous at x is
Limit as x approaches c= f(c).
Step 1: Find f(4).
4 is defined for 2x-1 so plug in. 4 for x.
[tex]2(4) - 1 = 7[/tex]
Note that what we just calculated was not only f(4) but also the left sided limit of f(x).
Step 2: Make sure the left sided and right sided limit are equal to 7.
[tex]a + 5x = 7[/tex]
Plug in 4 for x
[tex]a + 5(4) = 7[/tex]
[tex]a = - 13[/tex]
the answer to this question
Answer:
positive 1!
Step-by-step explanation:
i got it right on the test trust me!