[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{\dfrac{4}{8}}\\\\\mathsf{= \dfrac{8}{4}}\\\\\mathsf{= \dfrac{8\div4}{4\div4}}\\\\\mathsf{= \dfrac{2}{1}}\\\\\mathsf{= 2\div1}\\\\\mathsf{= 2}\\\\\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{2\ or\ \dfrac{8}{4}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]Answer:
Reciprocal of 4/8 = 8/4
Step-by-step explanation:
To get the reciprocal of 4/8 based on that definition, we can make the following equation where "R" is the reciprocal of 4/8.
(4/8) × R = 1
When we solve for R, we get the answer to the reciprocal of 4/8 as a fraction as follows:
(4/8) × R = 1
R = 8/4
Reciprocal of 4/8 = 8/4
lesson 6.2
Graph the image of the figure using the transformation given.
last 3 pics are the options to pick from
The figure with these coordinates are G'(3, -5), H'(2, 0), I'(0, -1) and J'(-1, -4) given below. Therefore, option C is the correct answer.
Given that the shape is reflected across the y-axis.
What is a reflection on the y-axis?The reflection of point (x, y) across the x-axis is (x, -y). When you reflect a point across the y-axis, the y-coordinate remains the same, but the x-coordinate is taken to be the additive inverse. The reflection of point (x, y) across the y-axis is (-x, y).
The coordinates of the given figure are G(-3, -5), H(-2, 0), I(0, -1) and J(1, -4)
When the coordinates of the figure GHIJ are reflected across the y-axis we get G(-(-3), -5), H(-(-2), 0), I(0, -1) and J(-(1), -4)
So, the coordinates are G'(3, -5), H'(2, 0), I'(0, -1) and J'(-1, -4)
The figure with these coordinates are G'(3, -5), H'(2, 0), I'(0, -1) and J'(-1, -4) given below. Therefore, option C is the correct answer.
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HELP ME EXTRA POINTS PLSPLSPLS
[tex]\bf \longrightarrow{f(x) = \frac{1}{x - 7} \: \: \: \: , \: \: \: g(x) = \frac{1}{x - 5} }[/tex]
[tex]\bf \longrightarrow{f \circ g = \frac{1}{ \frac{1}{x - 5} - 7} }[/tex]
So we know [tex]\frac{a}{b}[/tex] , b ≠ 0[tex] \bf \longrightarrow{so \: \: x - 5 \neq0 \: \: , \: \: \frac{1}{x - 5} \neq7} \\ \\ \bf \longrightarrow{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x \neq0 \: \: , \: \: \frac{1}{x - 5} \neq0 }\\ \\\bf \longrightarrow{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: x = 5 \frac{1}{7} } \\ \\ \bf \longrightarrow{and \: a < b }\\ \bf \longrightarrow{so \: a = 5 \: , \: b = 5\frac{1}{7} }[/tex]
.A person can travel from NYC to Buffalo by going north 205 miles to Albany and then west 425 miles to Buffalo. A new highway is built to connect NYC to Buffalo.Find how many miles it would take to get from NYC to Buffalo if you traveled the new highway. (*Round to the nearest tenth.)
Answer: 471.9 miles
Step-by-step explanation:
This is a right triangle so a^2+b^2=c^2
205^2=42025
425^2=180625
=222650
sqrt222650 =471.9
Can someone answer this for me, I’ve been trying for the past 30 minutes, thank you
Answer:
1/2
Step-by-step explanation:
When x = 20, y = 0
When x = 40, y = 10
When x = 60, y = 20
When x = 80, y = 30
When x = 100, y = 40
The slope is the change in y divided by the change in x.
First, find the change in x and y between any two points. We will use the first two points, (20, 0) and (40,10)
The change in x is 40 - 20 = 20
The change in y is 10 - 0 = 10
Divide the change in y by the change in x.
10 / 20 = 1/2
The slope is 1/2
3,3,5,6 need to make 3
Answer: (3+3*5):6
Step-by-step explanation:
[tex](3+3*5):6=\\(3+15):6=\\18:6=\\3[/tex]
Answer:
12
Step-by-step explanation:
1. \: 3 + 15 - 6 \\ 2. \: 18 - 6 \\ 3. \: 12
simplify |9-3|-|5-12|
Answer:
13
Step-by-step explanation:
9 - 3 = 6
5 - 12 = -7
6 - ( -7 ) = 13
Answer:
-1
Step-by-step explanation:
Absolute value means distance from zero.
9-3 is 6 so nothing special there. 5-12, though is negative 7, but since we need the absolute value of that it is just 7. So our math problem becomes 6 - 7, which is -1.
help pleaseeeeeeeeeeeeeeeeee
Which mathematical term describes 2.12 in the expression 9.2y-7.5y+2.12?
The mathematical term that describes 2.12 in the expression 9.2y - 7.5y + 2.12 is a constant
What are expressions?Expressions are mathematical statements that are represented by constants, variables, coefficients and operators
How to determine the mathematical term that describes 2.12 in the expression 9.2y - 7.5y + 2.12?The expression is given as
9.2y - 7.5y + 2.12
In the above expression, we can see that the variable is y
However, the number 2.12 has no variable attached to it
This means that the number is a constant
Hence, the mathematical term that describes 2.12 in the expression 9.2y - 7.5y + 2.12 is a constant
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Evaluate. Write your answer as a fraction or whole number without exponents. 2–4 =
The written form of number/expression given; 2-⁴ such that the number is written as a fraction or whole number without exponents is; 1/16
What is the value of the expression given; 2-⁴ such that it is written as a fraction or whole number without an exponent?It follows from the task content that 2-⁴ is to be written as a fraction without exponents.
On this note, it follows from the laws of indices that the expression can be evaluated as follows;
2-⁴
= 1/2⁴
= 1/(2×2×2×2)
= 1/16.
Ultimately, the written form of number/expression given; 2-⁴ such that the number is written as a fraction or whole number without exponents is; 1/16.
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What is the product in 61.18 -82?
It should be noted that the product of 61.18 and 82 will be 5016.76.
How to calculate the product?It should be noted that a product of a given set of numbers simply means the multiplication of the numbers that are given.
In this case, we want to get the product of 61.18 and 82. This will be:
= 61.18 × 82
= 5016.76
In conclusion, the product of 61.18 and 82 will be 5016.76.
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What is the product of 61.18 and 82?
What is 4.5E-11 written in scientific notation
Answer: 4.5 x 10^-11
Step-by-step explanation:
4.5E-11 = 4.5 x 10^-11 ==> 4.5e-11 is basically 10^-11 multiplied by 4.5
Which function has a range of {y|y ≤ 5}?
f(x) = (x – 4)2 + 5
f(x) = –(x – 4)2 + 5
f(x) = (x – 5)2 + 4
f(x) = –(x – 5)2 + 4
The Function that has a range of {y|y ≤ 5} is mathematically given as
f(x) = –(x – 4)2 + 5
This is further explained below.
Which function has a range of {y|y ≤ 5}?Generally, the equation for the function is mathematically given as
f(x)=-(x-4)^2+5
Where
f(x)=-(x-4)^2+5 is a quadratic function. Its graph looks like a parabola. One of the vertices in the graph is (4,5) and opens in a downward direction.
Proving that f(x)=-(x-4)^2+5≤ 5 for all x
[tex]x^2 \geq 0 \Rightarrow(x-4)^2 \geq 0 \\\\-(x-4)^2 \leq 0 \\\\-(x-4)^2+5 \leq 5 \text {. }[/tex]
In conclusion, The Function that has a range of {y|y ≤ 5} is mathematically given as
f(x) = –(x – 4)2 + 5
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18 = -2(x + 4) i cant find the answer
Answer:
x = -13
Step-by-step explanation:
-2 (x + 4) = 18
distributive property -2x + (-8) = 18
simplify -2x - 8 = 18
cancel out 8 by addition -2x = 26
cancel out -2 by division x = -13
Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes from rectangular sheets of cardboard from which she cuts out 5-in squares from each corner. The length of the original piece of cardboard is 10 in more than the width. If the volume of the box is 1875 in3, determine the dimensions of the original piece of cardboard.
The dimensions of the original shapes are 15 and 25 inches respectively
How to determine the dimensionsThe formula for volume of a rectangle is expressed as;
Volume = length × width × height
From the information given, we have;
Length = yWidth = y + 10Height = 5Volume = 1875Substitute the values
1875 = 5 × y × y + 10
Divide both sides 5
1875 / 5 = y(y + 10)
expand the bracket
375 = y² + 10y
y² +10y - 375 = 0
y² + 25y - 15y - 375 = 0
y(y + 25) - 15( y + 25) = 0
y= 15 or y = -25
If y = 15 Inches
Width = 15 + 10 = 25 Inches
Thus, the dimensions of the original shapes are 15 and 25 inches respectively
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Luna started off with $250 in her bank account she bought 3 x-box games that cost 12.75 each and 2 playstation games that cost 22.50 each how much money left in her bank account. Can some help me please
Answer:
$166.75
Step-by-step explanation:
look at the photo.
Hope this helps. Please mark me brainliest!
A cell phone company says that a fully charged battery lasts 14 hours. In reality, each battery behaves a little differently. For a large quantity of fully charged batteries, the mean length of time that batteries last is 14 hours, with a standard deviation of 1 hour. Assume that the lengths of time that battery charges last can be modeled by a normal distribution.
(a) What percent of fully charged cell phone batteries would be expected to last longer than 14 hours?
(b) What percent of fully charged cell phone batteries would be expected to last between 12 and 14 hours?
(c) What percent of fully charged cell phone batteries would be expected to last less than 15 hours?
(d) Would it be surprising if a fully charged cell phone battery lasted more than 17 hours? Explain why or why not.
The percentage is 50%
From the question we are told that
The mean is μ= 14 hours
The standard deviation is σ=1 hour
Generally on the normal distribution curve the mean divides the curve into two. with the half to the left of the mean (50% to the left )representing the percentage of the batteries that will last less than 14 hours and the area under the curve to the right (50% to the right)representing the percentage of batteries that will last longer than mean (14 hours )
Hence the percentage of the cell phone batteries that will be expected to last longer than 14 hours is 50%
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38 - (-74) perform the indicated operation
The result of the arithmetic expression as given in the task content is; 112.
What is the result of.thee indicated operation as in the task content?It follows from the task content that the given expression is; 38 - (-74).
Hence, in a bid to solve the parentheses, the two negative signs are multiplied to yield a positive sign.
Ultimately, we have the result of the indicated operation as; 38 + 74 = 112.
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Divide:
945 9 = [
Submit
R
With remainder
Answer:105 R 0
945 divided by 9 equals
105 with a remainder of 0
Step-by-step explanation:
Nate is 2 years younger than Alan and Kai is half Alan's age. The sum of their ages is 63. How old is Kai?
The ages of Alan, Nate and Kai is 26, 24 and 13 years respectively
AlgebraAlan's age = x yearsNate's age = (x - 2) yearsKai's age = 1/2xTotal ages = 63 years63 = x + (x - 2) + 1/2x
63 = x + x - 2 + 1/2x
63 = 2 1/2x - 2
63 + 2 = 2 1/2x
65 = 5/2x
divide both sides by 5/2x = 65 ÷ 5/2
x = 65 × 2/5
= 130/5
x = 26
Recall,
Alan's age = x years
= 26 years
Nate's age = (x - 2) years
= (26 - 2)
= 24 years
Kai's age = 1/2x
= 1/2(26)
= 13 years
Therefore, the ages of Alan, Nate and Kai is 26, 24 and 13 years respectively
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A woman bought S shirts at $20 each and J jerseys at $ 15 each at a total Cost of $ 155. if however she had bought half as many Shirts, and twice as many jerseys, then the total Cost would have been $190. Evaluate S and J.
After solving the set of linear equation so formed, we conclude that value of "S" and "J" is 4 and 5 respectively.
As per the question statement, A woman bought "S" shirts at $20 each and "J" jerseys at $ 15 each at a total Cost of $ 155. However, the total cost would have been $190 if she had purchased half as many shirts and twice as many jerseys. We are supposed to find the value of "S" and "J"
Let us first form the set of linear equation so formed.
Cost of one shirt = $20
Cost of "S" shirts = $20 x S = 20S
Cost of one jersey = $15
Cost of "J" jerseys = $15 x J = 15J
Total cost = $155
20S + 15J = 155 is our first linear equation obtained.
Now if however she bought half as many Shirts, and twice as many jerseys, then the total Cost would have been $190 and the equation formed will be :
20(S/2) + 15(2*J) = 190
or 10S + 30J = 190, is our second equation
This question is a classic example of forming a set of linear equation in two variable out of any given statement.
Solving the two sets of equation we get, S = 4 and J = 5
Linear equation: An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation and if it is equation in two variables then both the variables will have linear power or power 1.To learn more about linear equation, click on the link given below:
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Chandra hires 21 people to pick crops from her field. She agrees to pay them $2.50 for each unit they pick. Estimate
the total amount of money she will have to pay if each person picks 6 units.
Answer:
I think its 315
Step-by-step explanation:
because I think I have to multiply if u do I think it's 21x2.50x6 and it's equal to 315
The ratio x:y is 3:7
Find the following in terms of x:
a) The HCF of (9y+x) and (3y+4x)
b) The LCM of (9y+x) and (3y+4x)
(a) The HCF of ( 9y + x ) and ( 3y + 4x ) is 11x
b) The LCM of ( 9y + x ) and ( 3y + 4x ) is 22x.
The ratio of x and y is given as:
x : y = 3 : 7
Then,
(x / y) = ( 3 / 7)
7x = 3y
(a) HCF of ( 9y + x) and ( 3y + 4x)
Now,
9y + x = 3(3y) + x
9y + x = 3(7x) + x
9y + x = 22x
And;
3y + 4x = 7x + 4x
3y + 4x = 11x
Now, the HCF of 22 and 11 is 11 because 22 = 2 × 11 and 11 = 11 × 1.
Therefore,
HCF of ( 9y + x ) and ( 3y + 4x ) is 11x.
(b) The LCM of (9y+x) and (3y+4x)
We know,
9y + x = 22x and 3y + 4x = 11x
So, LCM of ( 9y + x ) and ( 3y + 4x ) is 22x.
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Mr Walker sorted the dataset and got this:
[12, 25, 39, 45, 46, 52, 57, 60, 77]
What is the Interquartile Range? (IQR)
Answer:
In plane Euclidean geometry, a rhombus is a quadrilateral whose four sides all have the same length. Another name is equilateral quadrilateral, since equilateral means that all of its sides are equal
Step-by-step explanation:
Answer:
mr walker sorted the dataset and got
Step-by-step explanation:
dillion took out a 2 year loan for $2375 at a sports -equment store to be paid back with monthly at a 6.6% APR compounded monthly if the loan offers no payments for the first 5 months, how much will dillion owe when he begins making the payments?
If the loan offers no payments for the first 5 months, the amount owed by Dillion when he begins making the payments is $2,441.03
What is the effective monthly interest rate on the loan?
The effective monthly interest rate on the loan is determined as the annual percentage rate(APR) of 6.6% divided by 12 months since there are 12 months in a year
effective monthly interest=6.6%/12
effective monthly interest=0.0055
FV=PV*(1+r)^N
FV=the balance owed after 5 months=unknown
PV=the loan amount=$2375
r=effectively monthly interest rate=0.0055
N=number of months that have passed since the loan was taken=5
FV=$2375*(1+0.0055)^5
FV=$2,441.03
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What is the parent function of f(x)?
The parent function behind f(x) = 1 / (x - 4) - 3 is g(x) = 1 / x, which is modified by horizontal and vertical translations.
What is the parent function behind the given expression?In this problem we find an expression that is shown as the image of a previous one, whose procedure of transformation must be inferred and explained. A direct inspection let us suppose that parent function might be g(x) = 1 / x and that the resulting expression is the result of a sequence of rigid transformations.
Let suppose that g(x) = 1 / x, then we apply the following two rigid transformations:
Horizontal translation
g'(x) = 1 / (x - 4)
Vertical translation
f(x) = 1 / (x - 4) - 3
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How long will it take money to double if it is invested at the following rates?
(A) 6% compounded monthly
(B) 10.2% compounded monthly
(A) years
(Round to two decimal places as needed.)
(B) years
(Round to two decimal places as needed.)
The number of years it would take to double at 6% compounded annually is 11.55 years
The number of years it would take to double at 10.2% compounded annually is 6.8 years
What is the doubling time?When an amount earns at a compound interest, it means that the investment increases at an exponential rate. This means that the rate of growth in a new compounding period would be greater than the rate of growth at the previous compounding period.
When an amount is compounded monthly, it means that both the amount invested and the interest that has already been earned increases in value once a month, twelves times a year.
The formula that can be used to determine the number of years it would take the investment to double is:
Number of years it would take to double = In (FV / PV) / r
Where:
FV = future value PV = present value FV / PV = 2 r = interest rater = 6/12 = 0.5%
r = 10.2 /12 = 0.85%
Number of years it would take to double = In2 / 0.005 = 138.629 months
138.629 months / 12 = 11.55 years
Number of years it would take to double = In2 / 0.0085 = 81.547 months
81.547 months / 12 = 6.8 years
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I have no clue what steps to do, please help.
All steps to prove for the value of x are given below.
What is meant by Angle bisector?
Angle bisector is refer to a line that split an angle into two equal angles.
Given that;
Measure of ∠DEH = (10x - 2)°
Measure of ∠HEF = (6x + 10)°
Ray EH is angle bisector of ∠DEF.
Now, Ray EH is angle bisector of ∠DEF.
Hence,
1. Measure of ∠DEH = Measure of ∠HEF
Reason = Ray EH is angle bisector of ∠DEF.
2. (10x - 2)° = (6x + 10)°
Reason = Measure of ∠DEH = (10x - 2)° and Measure of ∠HEF = (6x + 10)°
3. 10x - 2 - 6x = 6x + 10 - 6x
Reason = Subtract 6 both side.
4. 4x - 2 = 10
Reason = Apply sum or difference rule.
5. 4x - 2 + 2 = 10 + 2
Reason = Add 2 both side.
6. 4x = 12
Reason = Apply sum or difference rule.
7. x = 3
Reason = Divide 4 both side.
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Un ganadero tiene tiempo suficiente para alimentar 220 vacas durante 45 días. ¿cuántos días podrá alimentar con la misma cantidad de tiempo a 450 vacas?
Answer:
112.5 días
Step-by-step explanation:
450 vacas (45 días/220 vacas) = 112.5 días
chapter 8
5.Find the circumference of each circle. Use your calculator's value of [pi]. Round your answer to the nearest tenth.
Answer:
50.2655
Step-by-step explanation:
An urn contains seven white balls and three green balls. A sample of three balls is selected at random. What is the probability that the sample contains two white balls and one green ball?
the probability that the sample contains two white balls and one green ball is 21/40.
In probability and statistics, an urn problem is an idealized mental exercise in which some objects of real interest (such as atoms, people, cars, etc.) are represented as colored balls in an urn or other container. One pretends to remove one or more balls from the urn; the goal is to determine the probability of drawing one color or another, or some other properties.
Total number of balls: 7 White and 3 Green = 10 balls
Cases for three balls are drawn at random:
Selection of 3 balls from 10 balls = [tex]^1^0C_3[/tex]
Case A: 1 White and 2 Green = [tex]\frac{^7C_1 * ^3C_2}{^1^0C_3} = \frac{7*3}{120} = \frac{21}{120} \\[/tex]
Case B: 2 White and 1 Green = [tex]\frac{^7C_2 * ^3C_1}{^1^0C_3} = \frac{21*3}{120} = \frac{63}{120}[/tex]
Case C: 3 White and 0 Green = [tex]\frac{^7C_3 * ^3C_0}{^1^0C_3} = \frac{28*1}{120} = \frac{28}{120}[/tex]
Case D : 0 White and 3 Green = [tex]\frac{^7C_0 * ^3C_3}{^1^0C_3} = \frac{1*1}{120} = \frac{1}{120}[/tex]
The probability that the sample contains two white balls and one green ball = Case B
So, the probability that the sample contains two white balls and one green ball = 63/120 = 21/40
Therefore, the probability that the sample contains two white balls and one green ball is 21/40.
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the probability that the sample contains two white balls and one green ball is 21/40.
In probability and statistics, an urn problem is an idealized mental exercise in which some objects of real interest (such as atoms, people, cars, etc.) are represented as colored balls in an urn or other container. One pretends to remove one or more balls from the urn; the goal is to determine the probability of drawing one color or another, or some other properties.
Total number of balls: 7 White and 3 Green = 10 balls
Cases for three balls are drawn at random:
Selection of 3 balls from 10 balls = [tex]^1^0C_3[/tex]
Case A: 1 White and 2 Green = [tex]\frac{^7C_1*^3C_2}{^1^0C_3} =\frac{7*3}{120}= \frac{21}{120}[/tex]
Case B: 2 White and 1 Green = [tex]\frac{^7C_2*^3C_1}{^1^0C_3} =\frac{21*3}{120}= \frac{63}{120}[/tex]
Case C: 3 White and 0 Green = [tex]\frac{^7C_3*^3C_0}{^1^0C_3} =\frac{35*1}{120}= \frac{35}{120}[/tex]
Case D : 0 White and 3 Green = [tex]\frac{^7C_0*^3C_3}{^1^0C_3} =\frac{1*1}{120}= \frac{1}{120}[/tex]
The probability that the sample contains two white balls and one green ball = Case B
So, the probability that the sample contains two white balls and one green ball = 63/120 = 21/40
Therefore, the probability that the sample contains two white balls and one green ball is 21/40.
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