Find a translation that has the same effect as the composition of translations below. T(5.3) (X,Y) followed by T -3,6) (X,Y) Choose the correct answer below. c A. (x,y)=(x + 2,y - 3) O B. (x,y)=(x + 2 y + 9) o C. (x,y)=(x + 8.y + 9) O D. (x,y)—(X + 8.y-3)
letter D is the answer
Determine the length of the line segment shown.
graph of line segment from negative 6 comma negative 5 to 0 comma 3
100 units
25 units
10 units
8 units
The length of the line segment will be 10 units.
What is Distance?
The distance between two points (x₁ , y₁) and (x₂, y₂) is defined as;
D = √( y₂ - y₁)² + (x₂ - x₁)²
Given that;
Two endpoints of the line segment are (6, -5) and (0, 3).
Now,
The length of the line segment is distance between two endpoints (6, -5) and (0, 3).
So, The distance between two endpoints (6, -5) and (0, 3) is calculated as;
D = √(0 - 6)² + (3 - (-5))²
D = √36 + 64
D = √100
D = 10 units
Thus, The length of the line segment will be 10 units.
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when the proper fraction $\frac{n}{37}$ is written as a repeating decimal, the sum of the first $40$ digits to the right of the decimal point is $236$. what is $n$?
A decimal is a number that is divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of complete and partially whole quantities.
n/37=236n=1111 /37 =0.2972972972972972972972972972972972972972
What is decimal?The accepted method for representing both integer and non-integer numbers is the decimal numeral system. It is the expansion of the Hindu-Arabic numeral system to non-integer values. Decimal notation is the term used to describe the method of representing numbers in the decimal system.
A decimal is a number that is divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of complete and partially whole quantities.
A fraction expressed in a particular way is called a decimal. As an alternative to expressing 1/2, you might write 0.5 instead, with the zero in the ones place and the five in the tenths position.
n/37=236n=1111 /37 =0.2972972972972972972972972972972972972972
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Select all ratios equivalent to 8:4
4:2. 14:7. 5:10
Answer:
4:2 and 14:7
Step-by-step explanation:
The ratios equivalent to 8:4 would be:
4:2
14:7
5:10 wouldn't be equivalent because if you simplify that, it is 1/2 and if you simplify 8/4, it is 2. 1/2 and 2 are not the same.
:D
Answer:
They are all equivalent except for 5:10
Step-by-step explanation:
You can write ratios as fractions
[tex]\frac{8}4}[/tex] [tex]\frac{4}{2}[/tex] [tex]\frac{14}{7}[/tex] [tex]\frac{5}{10}[/tex] If I simplify each fraction, I can see that they all equal 2 expect for the the last one.
2 2 2 1/2
Elizabeth Oliver sells luxury cars. She earns a 4 percent straight commission. Lastmonth her sales totaled $128,000. What was her commission?
$128,000 represents 100%
To find how much is 4% we can use the next proportion:
[tex]\frac{128,000\text{ \$}}{x\text{ \$}}=\frac{100\text{ \%}}{4\text{ \%}}[/tex]Solving for x:
[tex]\begin{gathered} 128,000\cdot4=100\cdot x \\ \frac{512,000}{100}=x \\ 5,120=x \end{gathered}[/tex]Her commission is $5,120
Which ordered pair is a solution to the system of linear equations?
2x + 3y= 6
–3x + 5y = 10
(0,2)
(2,0)
(3,2)
(2,3)
The solution of the system of linear equations 2x + 3y = 6 and -3x + 5y = 10 is (0, 2).
Linear equation:
Linear equation refers an equation in which the highest power of the variable is always 1. It is also called as a one-degree equation.
Given,
Here we have the following system of linear equations.
2x + 3y = 6
-3x + 5y = 10
Now, we need to find the solution for the equations.
Here we have to use the substitution method to solve this one,
To do the substitution method we have to follow the following steps:
Step 1) Solve anyone of the equations either for the variable x or y
Step 2) Now, substitute the value obtained from step 1 to the other equation
Step 3) Finally, solve the equation to find the value of the remaining variable.
Here we have to take the equation (2), and we have to solve it for the value of y,
For that we have to rewrite the equation as,
5y = 10 + 3x
y = (10 + 3x)/5
Apply the value of y on the equation (1), in order to get the value of x,
So,
2x + 3(10 +3x)/5 = 6
2x + (30 + 9x)/5 = 6
(10x + 9x + 30)/5 = 6
19x + 30 = 30
19x = 0
x = 0
Now, apply the value of x on the equation in order to get the value of y,
y = (10 + 3(0))/5
y = 10/5
y = 2.
Therefore, the resulting ordered pairs for the system of linear equation is (0, 2).
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The length of a piece of paper is 11 inches. What is the length of the paper in
centimeters?
(1 inch = 2.5 centimeters).
Answer:
Length in inches → 11
1 inch = 2.5 centimeters
Length in Centimetres → 11 × 2.5 → 27.5 cm
Solve for x: -3x-6= -7x+34
Answer:
x = 10
Step-by-step explanation:
-3x - 6 = -7x + 34
+7x
4x - 6 = 34
+6
4x = 40
/4
x = 10
Answer:
x = 10
Step-by-step explanation:
-3x - 6 = -7x + 34 Add 7x to both sides
4x - 6 = 34 Add 6 to both sides
4x = 40 Divide both sides by 4
x = 10
a total of tickets were sold for the school play. they were either adult tickets or student tickets. there were 53 more student tickets sold than adult tickets. how many adult tickets were sold?
Total 250 adult tickets are sold.
Let a = number of adult tickets sold
Let s = number of student tickets sold
a + s = 553
s = a + 53
From above equations;
a + a + 53 = 553
2a = 553 - 53
2a = 500
a = 250
Total 250 adult tickets are sold.
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please help please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please please
part 1 of the question is asking us to evaluate expressions to the power of 2. To do that let's remember the following:
[tex]a^2=a\times a[/tex]Ther is, when a number is elevated to second power it means we have to multiply that number by itself. For example:
[tex]\begin{gathered} 1^2=1\times1=1 \\ 2^2=2\times2=4 \\ 3^2=3\times3=9 \end{gathered}[/tex]In the second part of this question, we are asked to evaluate the square root of a number. Let's remember that the square root is the inverse operation of elevating a number to the second power. That is if we have:
[tex]\sqrt[]{a}=b[/tex]it means:
[tex]b^2=b\times b=a[/tex]For example:
[tex]\begin{gathered} \sqrt[]{1}=1 \\ \sqrt[]{4}=2 \\ \sqrt[]{9}=3 \end{gathered}[/tex]The third part of the questions asks us to solve for "x" the following equation:
[tex]x^2=9[/tex]To do that we take square root on both sides:
[tex]\sqrt[]{x^2}=\sqrt[]{9}[/tex]Since the square root of a number to the second power is the same number and the square root of 9 is 3, we get:
[tex]x=3[/tex]I need help ASAP
write an equitation of the line shown
The equations of the lines are:
7. y = 3/2x - 3/2
8. y = -1/3x - 8/3
What is the Equation of a Line?The equation that represents a line, in slope-intercept form is, y = mx + b.
Slope of the line = m = rise/run or change in y / change in x.Y-intercept of the line = b = the point where the line intercepts the y-axis.7. Find the slope (m) between (5, 6) and (1, 0):
Slope (m) = (6 - 0)/(5 - 1) = 6/4
Slope (m) = 3/2
Find the y-intercept of the line, b, by substituting m = 3/2 and (x, y) = (1, 0) into y = mx + b:
0 = 3/2(1) + b
-3/2 = b
b = -3/2
To write the equation, substitute m = 3/2 and b = -3/2 into y = mx + b:
y = 3/2x - 3/2
8. Find the slope (m) between (-5, -1) and (1, -3):
Slope (m) = (-1 -(-3))/(-5 - 1) = 2/-6
Slope (m) = -1/3
Find the y-intercept of the line, b, by substituting m = -1/3 and (x, y) = (1, -3) into y = mx + b:
-3 = -1/3(1) + b
-3 = -1/3 + b
-3 + 1/3 = b
-8/3 = b
b = -8/3
To write the equation, substitute m = -1/3 and b = -8/3 into y = mx + b:
y = -1/3x - 8/3
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H(x)=-5/6x;h(x)=10
Find the value of x so that the function has the given value
The value of x = -12.
Define Function.
A special relationship where each input has a single output. It is often written as "f(x)" where x is the input value. Example: f(x) = x/2 ("f of x equals x divided by 2")
The given expression is
H(x)=-5/6 x
also, H(x) = 10
so, put H(x) value in given expression,
10 = -5/6 x
Now, solve for 'x'
-5x = 60
x = 60/(-5)
x = -12
Therefore, the value of x = -12
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Solve the following system of equations by graphing. If this system is inconsis
identify the type of constraint.
y = 4x + 4
-12x + 3y = 3
Answer:
Inconsistent: parallel lines.
Step-by-step explanation:
Given system of equations:
[tex]\begin{cases}y=4x+4\\-12x+3y=3\end{cases}[/tex]
Use arithmetic operations to isolate y in the second equation:
[tex]\implies -12x+3y+12x=3+12x[/tex]
[tex]\implies 3y=12x+3[/tex]
[tex]\implies\dfrac{3y}{3}=\dfrac{12x}{3}+\dfrac{3}{3}[/tex]
[tex]\implies y=4x+1[/tex]
Therefore, we can see that both equations have the same slope and so the graphs of these equations are parallel.
The solution to a system of linear equations is the point of intersection.
As parallel lines never intersect, there are no solutions to this system and the system is said to be inconsistent.
make k the subject
2A= πK^2 +3t
Answer:
k = ± [tex]\sqrt{\frac{2A-3t\p}{\pi } }[/tex]
Step-by-step explanation:
2A = πk² + 3t ( subtract 3t from both sides )
2A - 3t = πk² ( isolate k² by dividing both sides by π )
[tex]\frac{2A-3t}{\pi }[/tex] = k² ( take square root of both sides )
± [tex]\sqrt{\frac{2A-3t}{\pi } }[/tex] = k
60 pointsssssssss
algebra 1
Answer:
-16
Step-by-step explanation:
fog(18)=f(g(18))
g(18)=[tex]\sqrt{18-9} =\sqrt{9} =3[/tex]
f(3)=-8(3)+8
=-16
In 17.2 seconds, a shopping cart is pushed 15.6 meters towards the west. What is the velocity of the cart? A. 1.6 m/s East B. 0.9 m/s West C. 1.1 m/s West D. 1.6 m/s West c
We have that:
[tex]\text{velocity}=\frac{\text{distance}}{\text{time}}[/tex]then, in this case, we have:
[tex]\begin{gathered} d=15.6m \\ t=17.2s \\ v=\frac{d}{t} \\ \Rightarrow v=\frac{15.6m}{17.2s}=0.90\frac{m}{s} \\ v=0.9\frac{m}{s} \end{gathered}[/tex]therefore, the velocity of the cart is 0.9 meters per second.
Number One in the photo provided
a. np = 8.91 and nq = 18.09 where n = 27 and p = 0.33
b. np = 3.75 and nq = 21.25 where n = 25 and p = 0.15
c. np = 9.68 and nq = 34.32 where n = 44 and p = .22
Solution:a. Given n = 27
p = 0.33
np = 27 x 0.33
= 8.91
nq = 27 x (1 - 0.33)
= 18.09
For the approximation of binomial distribution, the sample size must be greater than 10 for both the products np and n(1-p) to approximate the binomial distribution by a normal distribution.
Since here np < 10 approximation is not applicable.
μp = np = 27 x 0.33
= 8.91
σp = √npq = √(27)x (.33) x (1 - 0.33)
= 2.443
b. n = 25 and p = 0.15
np = 25 x 0.15
= 3.75
nq = 25 x (1 - 0.15)
= 21.25
Approximation is not possible because np < 10.
c. n = 44 and p = .22
np = 44 x 0.22
= 9.68
nq = 44 x (1 - 0.22)
= 34.32
Since here np< 10 approximation is not possible.
μp = np = 44 x 0.22
= 9.68
σp =√npq = √(44)x (.22) x (1 - 0.22)
= 2.747
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Find y please help me !
Answer:
y = 5
Step-by-step explanation:
since the triangles are congruent then corresponding sides are congruent, so
AB = CD , that is
7y = 3y + 20 ( subtract 3y from both sides )
4y = 20 ( divide both sides by 4 )
y = 5
You start at (2, -5). You move up 5 units and right 3 units. Where do you end?
the answer would be (0,5)
-4, 0, -2/3, 4.11111…, 2, π, √6 which are integers?
Integer Numbers
It can be defined as the number that can be written without a fractional (decimal) component.
Integers can be positive, negative, or 0.
From the numbers on the list only -4, 0, and 2 are integers. The rest of the numbers cannot be written without a decimal component.
For example:
-2/3 = -0.666
π = 3.14
The square root of 6 is 2.45
4.111... has an evident decimal component.
Answer: -4, 0, and 2
In Central city, there are 29,791 registered voters and 93 voting centers. Each voting centers serves about _____ of the city's population, what's the answer?
If in Central city, there are 29791 registered voters and 93 voting centers, then each voting centers serves about 320 of the city population.
Total number of registered voters in Central city = 29791 voters
Total number of voting centers = 93 voting centers
The number of population serves by each center = Total number of registered voters in Central city ÷ Total number of voting centers
Substitute the values in the equation
The number of population serves by each center = 29791/93
= 320.33
≈ 320
Hence, If in Central city, there are 29791 registered voters and 93 voting centers, then each voting centers serves about 320 of the city population.
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9. Determine whether the following graph is a function or a relation.
Answer: Relation
Step-by-step explanation: it is a relation because if you take any number on the x axis and look at its points there are two points on multiple parts
Simplify the expression: 2v - 7 - 12v + 15
Hey there!
2v - 7 - 12v + 15
COMBINE the LIKE TERMS
= (2v - 12v) + (-7 + 15)
= 2v - 12v - 7 + 15
= -10v + 8
Therefore, your answer should be:
-10v + 8
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Loule and Nicky were asked to find point P that divides the directed line segment FG so that the ratio of FP to PG is 4 to 1. Loule says the coordinate of point P is (-4,-4), while Nicky says the coordinate of point P is (2, 5). Who is correct? Describe the mistake that was made by the student who was incorrect
Using ratio and proportion, Louie is correct.
Ratio is defined as the relationship between two quantities. On the other hand, proportion is defined as the equality between two or more ratios.
From the given graph (see attached photo), the coordinates of Point F and Point G is (4, 8) and (-6, -7).
If the ratio of FP to PG is 4 to 1, then the ratio of the horizontal distance and vertical distance between the two endpoints is also 4 to 1.
FP : PG = 4 : 1
FP/PG = 4/1 = 4
x-coordinate of P
(4 - x)/(x - -6) = 4
(4 - x) = 4(x + 6)
4 - x = 4x + 24
-5x = 20
x = -4
y-coordinate of P
(8 - y)/(y - -7) = 4
(8 - y) = 4(y + 7)
8 - y = 4y + 28
-5y = 20
y = -4
Hence, the coordinates of Point P is (-4, -4).
Therefore, Louie is correct, while Nicky is mistaken probably while setting up the proportion and solving for the coordinates.
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A parallelogram with coordinates A (-2,3) , B (3,3) , (4,6) , and D (-1 , 6) is first rotated 90 degrees clockwise and the. Translated 4 units left and 2 units down to form quadrilateral A’B’C’D’. What is the distance , in units, between point C’ and point D’ in the resulting figure.
The distance between the translated points C and D is 5 units
How to determine the distance between the translated points?From the question, the coordinates are given as
A (-2,3) , B (3,3) , C (4,6) , and D (-1 , 6)
The sequence of transformations is given as
First rotated 90 degrees clockwiseTranslated 4 units left and 2 units downThe above sequence of transformations are rigid transformations.
This means that the lengths are preserved
In other words,
CD = C'D'
So, we have the distance to be
Distance = √[(x₁ - x₂)² + (y₁ - y₂)²]
Where
(x, y) = C (4,6) , and D (-1 , 6)
So, we have
Distance = √[(4 + 1)² + (6 - 6)²]
Evaluate
Distance = 5
Hence, the distance is 5 units
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suppose we want to choose 2 letters without replacement from four letters ABCD. (A)how many ways can the speed on if the order of choices is taken into consideration?(B) how many ways can this be done if the order of choices is not taken into consideration ?
A)
If the order of choice is taken into consideration, we consider four possibilities for the first choice and three for the second. Then the total number of ways is given by:
[tex]4\cdot3=12[/tex]B)
If the order of choices is not taken into consideration, we must divide the the previous result by 2, which is the total number of ways by which we can organize two letters (ex: AB and BA):
[tex]\frac{12}{2}=6[/tex]The janitor at a school discovered a leak in a pipe. The janitor found that it was leaking at a rate of 14 fl oz per hour. How fast was the pipe leaking in gallons per day?
Answer:
6.5625 gal per hour
Step-by-step explanation:
Since there are 60 minutes per hour, we need to multiply 14 by 60 to change per minute into per hour. Combining these: 14 fl oz / min x (1 gal / 128 fl oz) x (60 min / hr) = 6.5625 gal per hour. Written as a mixed fraction: 6 9/16 gal per hour.
Which equation does not represent a linear function?
a. y = 8x
by = ½x+2
c. y=0.5x - 1
d. y = 2x³
Answer:
d. y= 2x³
Step-by-step explanation:
All of the other equations represent linear functions, and are in the form y = mx + b. D on the other hand contains an exponent, making it a non-linear (in this case cubic) function.
Question
Evaluate the expression when k = 3 and j = 10.
(5k−j)2+2k
Responses
80
80
45
45
31
31
20
Answer:
31Step-by-step explanation:
Given Expression (5k − j)² + 2kEvaluateWhen k = 3, j = 10SolutionSubstitute and calculate:
(5k − j)² + 2k = (5*3 - 10)² + 2*3 = (15 - 10)² + 6 = 5² + 6 = 25 + 6 = 31Elisa gets a tax free allowance of $6000 and pays tax at 25% on the next $20 000. She pays tax at a rate of 30% on the rest. If she earns $72000 per year, how much tax must she pay?