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Related Questions
the length of a rectangle is 2 cm less than 7 times the width.the perimeter is 60 cm. find the width and length
Answers
length = 26
4 and 26 are the width and length
True false to find the midpoint of a segment, first mark a point not on the segment and then fold the paper so that the point you marked and a point on the line are included in the fold
Answers
The temperature dropped 6c every hour for 7 hours. What was the total number of degrees the temperature changed in the 7 hours
Answers
You are given the unit rate:
6°C per hour
So for 7 hours, multiply the drop per hour by the number of hours:
6 x 7 = 42.
It would have dropped 42°C.
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Jordan is three years older than four times Lily's age. The sum of their age is 68. How old is Jordan?
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If w= the weight of trout. Which algebraic expression represents the phrase below?
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Product means multiplication.
Given w= weight of a trout.
So, we need to convert "product of 16 and weight of trout: w " into an algebraic expression.
So, product of 16 and w can be written as 16*w or simply 16w.
Hence, B is the correct choice.
Answer:
B
Step-by-step explanation:
Hope this helps!
What are the domain restrictions of the expression h^2+3h−10/h^2−12h+20 ?
Select each correct answer.
h≠10
h≠5
h≠2
h≠−5
h≠−10
h≠−2
Answers
(h-2)(h-10)=0
h=2 or h=10
So h cannot be 2 or 10, the first and third choices are correct.
The domain restrictions of the expression (h² + 3h −10) / (h² − 12h + 20) are h≠2 and h≠10. which are the correct answers would be options (A) and (C).
What are the domain and range of the function?The domain of the function includes all possible x values of a function, and the range includes all possible y values of the function.
The expression is given in the question as
(h² + 3h −10) / (h² − 12h + 20)
(h² + 5h - 2h−10) / (h² − 10h - 2h + 20)
(h(h + 5) - 2(h+5)) / (h(h − 10) - 2(h - 10))
(h + 5)(h - 2) / (h − 10)(h - 2)
We know that the denominator cannot be zero
Here (h-2)(h-10)=0
h= 2 or h = 10
Therefore, h cannot be 2 or 10 i.e. in the notation h≠2 and h≠10.
The domain restrictions of the expression (h² + 3h −10) / (h² − 12h + 20) are
h≠2 and h≠10.
Hence, the correct answers would be options (A) and (C).
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Which number produces a rational number when added to 1/5?
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A card is dealt from a 52-card deck. find the probability that it is not a 77. express the probability as a simplified fraction
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48/52 which, when simplified, is 12/13
In beijing in 2008 the womens 3,000 meter steeplechase became an olympic event what is the distence in kilometer
Answers
[tex] \frac{3000}{1000}=3 [/tex]
Answer: 3 km
The flag of a country contains an isosceles triangle. (Recall that an isosceles triangle contains two angles with the same measure.) If the measure of the third angle of the triangle is 35° more than three times the measure of either of the other two angles, find the measure of each angle of the triangle. (Recall that the sum of the measures of the angles of a triangle is 180°.)
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I hope this helps.
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3 1/3 lb of turkey for 10.50
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What is the value of X
Answers
180 - 70 - 42 = 68
x = 68 degrees
A female grizzly bear weighs 500 pounds. after hibernating for 6 months, she only weighs 200 pounds. what is the mean change in weight per month
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Mean change is the average change over an entire data set.
The mean change in weight per month is 50 pounds.
What is mean change?Mean change is the average change over an entire data set.
We have,
The weight of the bear = 500 pounds
After 6 months the weight of the bear = 200 pounds
The change in weight of the bear in 6 months = 300 pounds
We can write it as:
6 months = 300 pounds
We need to find the weight change in one month so we need to make 6 months into 1 month by dividing both sides by 6.
So,
6/6 month = 300/6 pounds
1 month = 50 pounds
Thus the mean change in weight per month is 50 pounds.
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) the admission fee at a small fair is $1.50 for children and $4 for adults. on a certain day 2,200 people enter the fair and $5,050 is collected. how many children and how many adults attended?
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where
let x represent children
and y represent adult
therefore
x+y=2200
1.5x+4y=5050
solving using substitution method
y=2200-x
substituting this in the second equation we get
1.5x+4(2200-x)=5050
1.5x+8800-4x=5050
3750=2.5x
x=1500
so we had 1500 children and 700 adults
Which of the following is a radical equation?
Answers
Answer:
C. [tex]\sqrt{x}+3=13[/tex]
Step-by-step explanation:
We know that,
A radical equation is the equation in which the variable is under the radical.
According to the options, we see that,
In the equation [tex]\sqrt{x}+3=13[/tex], the variable is under the radical.
All other equations have constant number under the radical.
Thus, we get,
Equation C i.e. [tex]\sqrt{x}+3=13[/tex] is a radical equation.
[tex]\fbox{\text{Option C}}[/tex] is correct as [tex]\sqrt x+3 = 13[/tex] is radical equation because the variable is under the radical and the radicand is [tex]x[/tex].
Further explanation:
Radical can be describing as a square root, a cube root, a fourth root or higher root.
Radical equation can be defined as any equation that contains a radical on the variable is known as the radical equation.
The term under the radical symbol is known as radicand.
Option A is not correct.
Here, [tex]x\sqrt 3= 13[/tex] is not radical equation because the radical is on a constant term 3 not on the variable.
Option B is not correct.
Here, [tex]x+\sqrt 3=13[/tex] is not radical equation because the radical is on a constant term 3 not on the variable.
Option C is correct.
Here, [tex]\sqrt x+3=13[/tex] is radical equation because the variable is under the radical and the radicand is .
Option D is not correct.
Here, [tex]x+3 =\sqrt {13}[/tex] is not radical equation because the variable is not under the radical.
The equation [tex]\sqrt x+3=13[/tex] is a radical equation. Therefore [tex]\fbox{\text{Option C}}[/tex] is correct.
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1. Learn more about functions https://brainly.com/question/2142762
2. Learn more about range of the functions https://brainly.com/question/3412497
3. Learn more about relation and function https://brainly.com/question/1691598
Answer details:
Grade: High school
Subject: Mathematics
Chapter: Number system
Keywords: functions, equation, radical equation, radical, square root, cube root, fourth root, variable, radicand, term, under, contains describe.
Jasmine has $15 dollars and saves $2.50 every month. Radha has $0 and saves $3.50 every month. Jasmine’s savings after x months can be represented by the function f(x) = 2.5x + 15. Radha’s savings after x months can be represented by the function g(x) = 3.5x. a. After how many months will they both have the same amount in savings? Find the values of x for which f(x) = g(x). b. Explain how to check your work. c. Explain what the graph of the two functions would look like.
Answers
2.5x+15 = 3.5x
subtract 2.5x from both sides
15 =x
15 months
Ind the perimeter and area of the sandbox. Make sure your answers have the correct number of significant digits. A children's sandbox measures 7.8 feet by 5.23 feet.
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area: 40.794
PART A: Maria rented a coat at $285 for 3 days. If she rents the same coat for 60 days, she has to pay a total rent of $510. Write an equation in standard form to represent the total rent (y) that Maria has to pay for renting the coat for x days.
PART B: Write the equation obtained in Part A using function notation.
PART C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals.
Answers
Number of days: x
rent: y
2) state the initial points
x y
days $
3 285
60 510
3) assume linear relation:
=> (y - yo) / (x - xo) = (y1 - yo) / (x1 - xo)
=> (y - 285) / (x - 3) = (510 - 285) / (60 - 3)
=> (y - 285) / (x - 3) = 225 / 57 = 75 / 19
=> 19 (y - 285) = 75 (x - 3)
=> 19y - 19*285 = 75x - 75*3
=> 19y - 75x = 5415 - 225
=> 19y - 75x = 5190
=> standar form = -75x + 19y = 5190
PART B: Write the equation obtained in Part A using function notation.
-75x + 19y = 5190
=> 19y = 5190 + 75x
=> y = 5190/19 + (75/19)x
=> function notation = f(x) = (75/19)x + 5190 / 19
PART C: Describe the steps to graph the equation obtained above on the coordinate axes. Mention the labels on the axes and the intervals.
1) Coordinate axes:
x: number of days
y: rent
2) draw the two given points: (3,285) and (60, 510)
3) draw the line that joins those points from the interception of the y-axis until some points further (60, 510).
If Dominik completes a project by himself, it will take him 8 hours. Working with Katarina, it will take them 5 hours. If they work together, what is the missing value from the table that represents the part of the project Dominik will complete? 8r 8(5) r (5)
Answers
Time for Katarina = (Dominick's Time * Total Time) / (Dominick's Time - Total Time)
Time for Katarina = (8 * 5) / (8 -5)
Time for Katarina = 40 / 3
Katarina's Time = 13.3333 hours
Answer:
answeerits (D) on ed
Step-by-step explanation:
If ABC DEC, what is the value of x?
x = 8
x = 5
x = 4
x = 1
x = 2
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4(4)-1 (4)+ 2 4 can not be the answer
16-1 =6
=15
4x-1 x + 2
4(5)-1 (5)+ 2 5 can not be the answer
20-1 =7
=19
4x-1 x + 2
4(1)-1 (1)+ 2 X= 1 is the answer!!!
4 - 1 1 + 2
=3 =3
Answer:
Option D. x = 1
Step-by-step explanation:
If the two triangles Δ ABC and ΔDEC are similar then there corresponding sides will be in the same ratio.
Now using this theorem in these triangles
[tex]\frac{AB}{DE}=\frac{BC}{EC}[/tex]
Now it has been given
AB = (4x - 1)
BC = 4
EC = 4
DE = x + 2
By putting these values in the formula
[tex]\frac{4x-1}{x+2}=\frac{4}{4}=1[/tex]
We cross multiply on both the sides
(4x - 1) = (x + 2)
4x - x = 1 + 2
3x = 3
x = 1
Option D. x = 1 is the answer.
You're at a halloween fair with a big ferris wheel. the wheel has ten chairs and people are seated two per chair. every minute a chair passes the exit platorm. the wheel opens at 11 am for thirty minutes -- how many people took a ride in that time?
Answers
n = (number of minutes)(rate at which the chair passes the exit platform)(number of persons per chair)
Substituting the known values to the equation,
n = (30 minutes)(1 chair / minute)(2 persons / chair)
n = 60 persons
Answer: 60 persons
The number of persons who have taken the ride is 60.
According to the question, a halloween fair with a big ferris wheel. The wheel has 10 chairs and people are seated [tex]2/chair[/tex].
Also, every minute a chair passes the exit platform and the wheel opens at 11 am for thirty minutes so, the rate at which the chair passes the exit platform is [tex]1\;chair\;per\;minute[/tex].
Now, number of persons who have taken the ride is calculated as-
[tex]n= minutes \times (1\;chair\;per\;minute)\times (2\;persons\;per\;chair)\\n=30\times 2\times 1\\n=60[/tex]
Hence, the number of persons who have taken the ride is 60.
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Find the time in hours and minutes from 09.40 to 13.25
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Which postulate or theorem proves that △ RNM and △ QNP are congruent?
A) HL congruence theorem
B) SAS congruence postulate
C) AAS congruence theorem
D) SSS congruence postulate
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Answer:
B) SAS congruence postulate
Step-by-step explanation:
We have marked that RN and NQ are congruent. We also have marked that MN and NP are congruent.
∠MNR≅∠QNP because they are vertical angles. Vertical angles are opposite angles that share only a vertex; these are vertical angles so they are congruent.
This gives us two sides and an included angle; this is SAS.
B) SAS congruence postulate proves that △ RNM and △ QNP are congruent
What is a triangle?A triangle is a three-sided closed-plane figure formed by joining three noncolinear points. Based on the side property triangles are of three types they are Equilateral triangle, Scalene triangle, and Isosceles triangle.
We know two triangles are congruent when we have at least three respective sides or angles or both that are same as the other sides or angles of a triangle.
We also know that vertically opposite angles have the same measures.
here the vertically opposite angles are ∠RNM and ∠PNQ.
It is given that side RN is congruent to side NQ and side PN is congruent to side MN.
∴ It is proven by SAS congruence postulate.
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WHAT IS THE EQUATION OF POINT SLOPE FORM
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y-y2= m(x-x2)
hope that helped
Use long division to determine the quotient of the polynomials. (x3 – 7x – 6) ÷ (x – 4) Which of the following options best describes the relationship between the polynomial division and the remainder? The quotient has a remainder of zero. Therefore, the divisor is a factor of the dividend. The quotient has a remainder of 9. Therefore, the divisor is not a factor of the dividend. The quotient has a remainder of 30. Therefore, the divisor is not factor of the dividend. The quotient has a remainder of 36. Therefore, the divisor is a factor of the dividend.
Answers
Using long division of polynomials, when we divide (x³ - 7x - 6) by (x - 4), the quotient is x² + 4x + 16 with a remainder of -70. This implies that the divisor (x - 4) is not a factor of the dividend (x³ - 7x - 6), since a non-zero remainder exists.
Explanation:To perform the task, we first note down the dividend (x³ - 7x - 6) and divisor (x - 4). We divide the first term of the dividend by the first term of the divisor to find the first term of the quotient and continue this process as required in polynomial division. Solving this using long division of polynomials, we get:
Dividend: x³ - 7x - 6
Divisor: x - 4
The quotient after performing long division is x² + 4x + 16 and the remainder is -70. This shows that the divisor (x - 4) is not a factor of the dividend (x³ - 7x - 6), since a remainder exists after the division is performed.
So, the correct option is: The quotient has a remainder of -70. Therefore, the divisor is not a factor of the dividend.
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In isosceles ∆DEK with base DK, EF is the angle bisector of ∠E, m∠DEF = 43°, and DK = 16cm. Find: KF, m∠DEK, m∠EFD.
Answers
EF is the angle bisector of ∠E,
m∠DEF = 43°= m∠FEK ( the bisector divide the angle in two equal angles)
so m∠DEK = m∠DEF + m∠FEK = 43 + 43 = 86
∆DEK is isoceles triangle (given)
the two base angles are equal m∠EDK = m∠DKE
and the sum of angles in a triangle = 180
so m∠DEK + m∠EDK+ m∠DKE = 180
86 + m∠EDK+ m∠DKE = 180
2 x m∠EDK = 94
m∠EDK = 94 / 2 = 47
in triangle DEF
m∠EDF + m∠E FD+m∠FED= 180
47 +m∠E FD + 4 3 = 180
m∠E FD = 180-43-47 = 90
Find: KF?
in an isoseles triangle the bisector is in the same time median so
KF= DK / 2 = 16/ 2 = 8 cm
Cafe A offers 2 free bottled waters or juices for every 20 purchased.Cafe B offers 3 bottled waters or juices for every 25 purchased. A) What is Cafe A's ratio of free drinks to purchased drinks? B) What is Cafe B's ratio of free drinks to purchased drinks? C) If you purchased 50 drinks at each cafe how many free drinks would you get?
PLEASEEEEE HELPPPPPPPPPP
Answers
3: 25, or for every 100 bottles you purchase, you get 12
you get 22 free drinks in all if you purchase 100 bottles from each store.
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A hexadecimal number is a number written in the base 16 number system.â
a. True
b. False
Answers
its made out of 16 characters
from 1-16 and from A-F
A hexadecimal number is a number written in the base 16 number system which is true.
What is the number system?A way of writing numbers is known as a number system. It is the mathematical notation for consistently employing digits or other symbols to represent the numbers in a particular set. It describes the mathematics and algebraic structure of the numbers and gives each number a distinct representation.
The types of the number system are as follows:
Decimal Number System - There are only ten numbers and the base is 10.Binary Number System - There are only two numbers and the base is 2.Octal Number System - There are only eight numbers and the base is 8.Hexadecimal Number System - There are only sixteen numbers and the base is 16.A hexadecimal number is a number written in the base 16 number system which is true.
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solve for v
160=11-v
Answers
v = -149
Hope this helps
Evaluate the expression -6×2×(-2)×(-5)×(-3)