Answer: A scale factor of 1/2 was applied to the first triangle to get the resulting image.
Step-by-step explanation: The initial side length of 3.4 is twice as long as 1.7, the initial triangle was reduced to half of the initial size.
Answer:
The triangle is still an equilateral triangle as before, and the only difference is that the side length is halved from 3.4 to 1.7 (3.4/2=1.7). Therefore, the scale factor is 1.7/3.4=0.5. A scale factor <1 means that the original shape is reduced. The scale factor would be a reduction.
Step-by-step explanation:
The image would be of a triangle.
Hope this helps! :))
Find g(x), where g(x) is the translation 1 unit up of f(x)=x2.
Write your answer in the form a(x–h)2+k, where a, h, and k are integers.
g(x)=
The value of the translated function g(x) will be x²+1.
What is a function?A function is defined as the expression that set up the relationship between the dependent variable and the independent variable.
Given that the function is f(x) = x². The function g(x) in the form of a(x–h)²+k will be written as below,
The function is translated to the 1 unit up which means that the value of k will be equal to the positive 1.
The function is,
g(x) = a(x–h)²+k
g(x) = 1(x-0)² + 1
g(x) = x² + 1
Therefore, the value of the translated function g(x) will be x²+1.
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or
The equation of line k is y=
–
10x–8. Perpendicular to line k is line , which passes through the point (2,2). What is the equation of line ?
Considering the definition of perpendicular line, the equation of perpendicular line is y= -1/10x + 11/5.
Linear equationA linear equation o line can be expressed in the form y = mx + b
where
x and y are coordinates of a point.m is the slope.b is the ordinate to the origin and represents the coordinate of the point where the line crosses the y axis.Perpendicular linePerpendicular lines are lines that intersect at 90° angles. If you multiply the slopes of two perpendicular lines, you get –1.
Equation of perpendicular line in this caseThe line is y= 10x -8.
The line has a slope of 10. If you multiply the slopes of two perpendicular lines, you get –1:
10× slope perpendicular line= -1
slope perpendicular line= (-1)÷ 10
slope perpendicular line= -1/10
The perpendicular line has a form of: y= -1/10x + b
The line passes through the point (2, 2). Then:
2= -1/10× (2) + b
2= -1/5+ b
2+ 1/5= b
11/5= b
Finally, the perpendicular line is y= -1/10x + 11/5.
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Randy is 8 years old. His brother is twice as old as randy. Randys sister is three years younger than randy. Write a expression to represent the age of randys brother
The expression that represents the age of randy's brother is
2x.
What is an expression?An expression is a way of writing a statement with more than two variables or numbers with operations such as addition, subtraction, multiplication, and division.
Example: 2 + 3x + 4y = 7 is an expression.
We have,
Randy age = 8 years old
Randy's brother age = 2 x 8 = 16
Randy's sister age = 8 - 3 = 5
The expression that represents the age of randy's brother.
Let the age of Randy = x.
= 2x
= 2x
= 2 x 8
= 16 years old.
Thus,
The expression that represents the age of randy's brother is
2x.
Where x is the age of Randy.
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If the nth term of a number sequence n2-3 find the first 3 terms
Answer:
-1,-2,0
Step-by-step explanation:
n(2-3)
1st term=n(2-3)
substitute value
1(2-3)=-1
2nd term=2(2-3)=-2
3rd term=3(3-3)=0
0°F; drops 15° what’s the new temperature
The new temperature is given as -15°F.
What is a Measurement unit?A measurement unit is a unit to measure certain quantities.
For example, the mass can be measured in kilograms, length can be measured in meter and time can be measured in seconds.
To find the measurement of a new quantity known units can be used in operation. As to find the unit for speed we use m/s as a unit, where, m is the unit of distance and s is the unit of time.
Given that,
The present temperature is 0°F.
And, the drop in the temperature is 15°.
The new temperature after the drop can be found by subtracting the amount of drop from the initial temperature as follows,
0 - 15°F
= -15°F
Hence, the new temperature after the drop is -15°F.
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what is √3 + 1/3 and is the answer irrational or rational?
Answer:
Your answer would be 2.1.
Step-by-step explanation:
The square root of 3 is:
1.73205080757
Then since 1/3 is equal to 0.33, I added 0.33 to the square root of 3 to get:
2.06205080757
Then, I rounded it:
2.1
An economist wants to estimate the mean per capita income (in thousands of dollars) for a major city in Texas. He believes that the mean income is $28, and the standard deviation is known to be $5.5. How large of a sample would be required in order to estimate the mean per capita income at the 90% level of confidence with an error of at most $0.42? Round your answer up to the next integer.
In order to estimate the mean per capita income at the 90% level of confidence with an error of at most $0.42. The sample size would be 85
How to find the size of sample when the error of at most $0.42Information form the question
the mean income is $28
the standard deviation is known to be $5.5
the mean per capita income at the 90% level of confidence
an error of at most $0.42
What is the formula for the sample size?This is given as from margin of error:
This is the term refers to the minimum error that is to be allowed
Margin of error, E = Zc * √(SD²/n)
n = sample size
n = SD x (Zc/E)²
SD = standard deviation
Zc = would be the critical value at 90 percent level of confidence = 1.65
plugging in the values
n = 5.5 x (1.65/0.42)²
n = 0.25 x 15.4337
n = 84.8854
n = 85
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-6y-18
factored expression
Can someone please help me , thank you :)!
Answer:
a )
[tex]6 ( ? ) = 27[/tex]
b )
? = The amount of rice in each container.
So, 1 container = ( ? ) ounce.
6 containers have = 6 x ( ? ) ounces.
We know that 6 containers have 27 ounces so...
[tex]6 ( ? ) = 27[/tex]
[tex]? = \frac{27}{6}[/tex]
[tex]? = 4.5[/tex]
Final Answer: 4.5 ounces in each container
Hope this helps! :)
help for brainlest please???
Answer:
45
Step-by-step explanation:
the pattern adds 3 if you look at it care fully
What is the slope of this line?
O 3/2
O 2:3
0 −3/2
O I don't know.
Answer:
3/2
Step-by-step explanation:
the answer is 3/2 because you take the slope by using the equation y/x. I did this problem by starting prop the point (0,-6). I then counted for how many points I went up, how many did I go to the right or left. If it went to the right it’s positive, to the left it is negative. In this case it went to the right 2 times every time it went up 3. Meaning 3/2
Population: The Henry family has 5 children: Abby (age 15), Brian (age 10), Colin (age 9), Deena (age 7), and
Elise (age 5).
Sample
n = 2
Ages
Sample
range
A, B
15, 10
5
A, C
15,9
6
A, D
15,7
8
Α, Ε
15, 5
10
B, C
10,9
1
B, D B, E
00000000
10,7
3
10, 5
The last sample range in this table is missing. What is the missing value? 2
C, D
9,7
5 2
C, E
9,5
4
D, E
7,5
The last sample range in this table is missing,the missing value is 2.
Given:
The Henry family has 5 children: Abby (age 15), Brian (age 10), Colin (age 9), Deena (age 7), and Elise (age 5).
Sample(n = 2) A, B A, C A, D Α, Ε B, C ........ D,E
Ages 15, 10 15,9 15,7 15, 5 10,9 ....... 7,5
Sample range 5 6 8 10 1 ...........
Let x be the sample range missing.
sample range = ages difference
= Age of D - Age of E
= 7 - 5
= 2
Therefore The last sample range in this table is missing,the missing value is 2.
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Answer:
answer is 2 i did it and got it right
Step-by-step explanation:
A researcher collected sample data for 12 middle-aged women. The sample had a mean serum cholesterol level (measured in milligrams per one hundred
milliliters) of 189.6, with a standard deviation of 10. Assuming that serum cholesterol levels for middle-aged women are normally distributed, find a 95%
confidence interval for the mean serum cholesterol level of all women in this age group. Give the lower limit and upper limit of the 95% confidence interval.
Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. (If necessary, consult a list of formulas.)
Lower limit:
Upper limit:
X
5
The lower and upper limit of the 95% confidence interval is 183.2 and 196.0 unit.
What is a confidence interval ?
When you run your experiment again or resample the population in the same way, you can expect your estimate to fall within a certain range of values a certain percentage of the time. This is known as the confidence interval.
Main Body:
Given in question :
x- bar = 189.6
standard deviation = 10
C.I. = 95% =0.95
N=12
so, degree of freedom (D.F) = N-1 = 11
confidence level (α) = (1- C.I.)/2
= 0.025
according to t- distribution table for d.f = 11 and α= 0.025 , my result is 2.201
Now dividing standard deviation by square root of samples, we get
= 10/√12= 2.887
Lower limit = Mean - 2.201*2.887
= 189.6- 6.354
= 183.246
Upper limit = Mean + 2.201*2.887
= 189.6 + 6.354
= 195.954
Hence the result is 183.2 and 196.
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Raven is taking a math test.
The test lasts for 1 hour and 35 minutes.
If they finish the test at 1:20, what time did they start the test?
If they took 1 hour and 35 minutes to complete the test and finished at 1:20 they started at 11:45.
What is a numerical expression?A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.
Given, The total time of the math test Raven took was 1 hour and 35 minutes.
Now he finishes the test at 1:20.
So, One hour before the time was 12:20.
20 minutes before that was exactly 12:00 and 15 minutes before that was
11:45 so a total of 1 hour and 35 minutes.
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Write an equation of the line that is PARALLEL to 12x - 4y = 4 and through the point (-9,-2).
Answer:
y=3x+25
Step-by-step explanation:
we need start by making slope intercept form
lets move the 12x after moving it we get
-4y=-12x+4 we need to remove the - 4 from the y so we need to divide the whole equation by - 4
we get y=3x-1
now we can create an equation to get the parallel line
y+2=3(x+9) now distribute
y+2=3x+27 and subtract the two
y=3x+25
Write and solve an inequality to find the values of x for which the perimeter of the rectangle is less than 122.
A rectangle has a width of x and a length of x plus 4.
The inequality to find the value of x for the rectangle is 2(2x+4) < 122 and the value of x should be less than 28.5.
According to the question,
We have the following information:
The perimeter of the rectangle is less than 122.
A rectangle has a width of x and a length of x plus 4.
Now, the expressions for the width and length of the rectangle are given below:
Width = x units
Length = (x+4) units
We know that the following formula is used to find the perimeter of rectangle:
2(length+width) < 122
2(x+4+x) < 122
2(2x+4) < 122
Dividing by 2 on both sides:
2x+4 < 122/2
2x+4 < 61
Subtracting 4 from both sides:
2x < 61-4
2x < 57
Dividing by 2 on both sides:
x < 57/2
x < 28.6
Hence, the inequality to find the value of x for the rectangle is 2(2x+4) < 122 and the value of x should be less than 28.5.
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Samuel is taking a multiple choice test with a total of 100 points available. Each question is worth exactly 5 points. What would be Samuel's test score (out of 100) if he got 9 questions wrong? What would be his score if he got xx questions wrong?
If Samuel answers 9 questions wrong, his score will be 55 points, and if he answers x questions wrong his score is:
f(x) = 100 - x*5
What will be Samuel's score if he got 9 questions wrong?
We know that there are 100 points available, and each question gives 5 points, then the number of questions is given by the quotient:
100/5 = 20
There are 20 questions.
So, if you answer 9 wrong, then you answer:
20 - 9 = 11 correctly
Then your score is:
11*5 = 55
Your score will be 55 points.
And again, each answer gives 5 points, so if you answer x questions wrong your score will be the linear equation:
f(x) = (20 - x)*5
f(x) = 100 - x*5
Where x is an integer between 0 and 20.
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Chris works at an electronics store. He earns $10 per hour plus 12.5% commission on his computer sales. Today, Chris worked 5.5 hours and sold $1100 in computers. How much did Chris earn in total today?
By solving a simple equation we can see that Chris earned $192.50.
How much did Chirs earn Today?
We know that Chris wins $10 per hour plus the 12.5% of the total amount he solds in computers.
So, if he works 5.5 hours and sold $1,100 in computers, the amount that he earns is given by the equation:
E = $10*5.5 + $1,100*( 12.5%/100%)
E = $10*5.5 + $1,100*(0.125) = $192.50
Then we conclude that Chris earned $192.50 today.
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WILL GIVE BRAINLIEST
You walk 10km North then turn and walk 5km East. What is your displacement from where you started? Show your work
Answer:
A hiker walks 10 km East, then 5 km in a direction 60 degrees North of West, then 8.7 km in a direction 30 degrees South of West. Find her resultant displacement.
Since you walk 10km North then turn and walk 5km East, your displacement from where you started is approximately 11.18 km.
How to determine the displacementFrom the information given, we have that you walked 10 km north (which represents the vertical side of the triangle) and 5 km east Using the Pythagorean theorem, the displacement (d) can be determined as;
[tex]d^2 = (10 km)^2 + (5 km)^2[/tex]
Find the square values, we get
d² = 100 km² + 25 km²
add the squares, we get
d² = 125 km²
Find the square root of both sides of the equation, we have;
d = 125km²
d = 11.18 km
Therefore, your displacement from where you started is approximately 11.18 km.
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Write an algebraic expression that represents each purchase.
a. Dr. Lin bought x number of soccer balls and 4 baseballs.
b. Nestor, Felix, Peter, and Hao are on a baseball team. They each bought a baseball and x pairs of sweat socks.
26. Suppose x has the same value in both of the expressions you wrote for 25. Are the two expressions you wrote for 25 equivalent? Explain.
27. Sophia says that the algebraic expression 4
4
5x, where x represents the cost of a baseball, describes the cost of a soccer ball. Do you agree? Explain.
1. An algebraic expression that represents each purchase is as follows:
a) 15x + 24b) 5x + 24.2. Supposing that x has the same value in both expressions written above, the two algebraic expressions are not equivalent because the slope of expression A is greater than the slope of expression B.
3. The cost of a soccer ball in relation to the cost of a baseball cannot be represented by the algebraic expression 4 + 5x because it is given that the cost of a soccer ball is $15, and no number can substitute the x variable to equate the two.
What is an algebraic expression?An algebraic expression is a combination of terms (variables and constants) using the mathematical operations of addition, subtraction, multiplication, division, etc.
a) 15x + 4(6) = 15x + 24
b) 4(6) + 5x = 24 + 5x or 5x + 24
c) Cost of a soccer ball = $15
Cost of a baseball = $6
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Question Completion:Soccer balls = $15 each
Baseballs=$6 each
Sweat socks =$5 per pair
Simplify 2.54 + 1.5 × 4
00
Which could be the base shape of the cylinder?
Oline
O non-square rectangle
O circle
O square
Answer:
The answer is a D. a circle
The base shape of the cylinder can only be a circle.
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
A cylinder is a three-dimensional shape that has two congruent parallel circular bases connected by a curved surface.
The shape of the base determines the shape of the cylinder. If the base is circular, then the cylinder is called a circular cylinder.
A non-square rectangle and a square are not circular, and thus cannot be the base shape of a cylinder.
Hence, the base shape of the cylinder can only be a circle.
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Orenda opened a savings account with $4500 that earns 0.6% simple interest
annually. After how many years will the balance of the account be $4635? Round to the nearest tenth, if necessary.
WHAT IS THE ANSWER???
The time required for for the balance to reach $4635 is 5 years.
How to solve simple interest problems?The formula for simple interest can be expressed as;
A = P( 1 + rt )
Where A is accrued amount, P is principal, r is interest rate and t is time.
Given the data in the question;
Principal P = $4500Interest rate r = 0.6%Accrued amount A = $4635Time t = ?First convert the interest rate from percent to decimal
Interest rate = 0.6%
Interest rate = 0.6/100
Interest rate = 0.006
Plug the given values into the above formula and solve for time t.
A = P( 1 + rt )
t = ( 4635/4500 - 1) / 0.006
t = ( 1.03 - 1) / 0.006
t = ( 0.03) / 0.006
t = 5 years.
Therefore, the required time is 5 years.
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The animals at a safari park include camels,
kangaroos and meerkats.
There are 12 more kangaroos than there are
camels.
There are 3 times as many meerkats as there
are camels.
There are the same number of kangaroos as
there are meerkats.
How many camels are there at the safari park?
A rectangle has a width (3x-2) and a length of (5x). The rectangle has the same perimeter as a square with a perimeter of 44 units.
Find the value of x.
Check the picture below.
brainliest points whatever you want please
Annual rate of return earned when the share was sold at $50 per share is 20%
Annual rate of return earned when the share was sold at $60 per share is 40%
How to calculate annual rate of returnAnnual rate of return is given by the formula
let end of the year price = eyp
let beginning of the year price = byp
= {(eyp - byp) / byp} * 100
Annual rate of return at share price of $50 per share
when there is paying of dividends the value is added to the the eyp
eyp = 50 * 100 + 2 * 100 * 5 = 6000
byp = 50 * 100 = 5000
= {(6000 - 5000) / 5000} * 100
= 20%
Annual rate of return at share price of $60 per share
eyp = 60 * 100 + 2 * 100 * 5 = 7000
byp = 50 * 100 = 5000
= {(7000 - 5000) / 5000} * 100
= 40%
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math help, will mark brainliest
Answer: 1 question Solve for x
x=
3
−y−2z−10
Solve for y
y=−3x−2z−10
Step-by-step explanation: Steps for Solving Linear Equation
3x+y+2z=−10
Subtract y from both sides.
3x+2z=−10−y
Subtract 2z from both sides.
3x=−10−y−2z
The equation is in standard form.
3x=−y−2z−10
Divide both sides by 3.
3
3x
=
3
−y−2z−10
Dividing by 3 undoes the multiplication by 3.
x=
3
−y−2z−10
Please Help
(f-g)(x)if f(x)=/16x4 and g(x)=3x2-3x-5
The value of the function (f - g)(x) is x² + 3x + 5
How to solve functions?A function is defined as a relation between a set of inputs having one output each.
In a simpler terms, a function relates input and output.
Therefore, let's solve the function (f - g)(x)
f(x) = √16x⁴
g(x) = 3x² - 3x - 5
Therefore,
(f - g)(x) = f(x) - g(x)
(f - g)(x) = √16x⁴ - (3x² - 3x - 5)
(f - g)(x) = √16x⁴ - 3x² + 3x + 5
(f - g)(x) = 4x² - 3x² + 3x + 5
Therefore,
(f - g)(x) = x² + 3x + 5
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A 2-column table with 9 rows. The first column is labeled year with entries 2005, 2006, 2007, 2008, 2009, 2010, 2011, 2012, 2013. The second column is labeled precipitation with entries 5.98, 6.05, 7.59, 5.27, 3.11, 7.18, 2.95, 7.22, 2.61. The table shows the precipitation in December, in inches, for Washington state from 2005 to 2013. What was the mean amount of precipitation during this time? Round to the nearest hundredth. 1.97 inches 2.61 inches 5.33 inches 5.98 inches
Answer:
5.33 inches
Step-by-step explanation:
Mean is another term for average. Therefore, we add up all precipitation items from Column B and divide by the total number of items (9):
[tex]5.98+6.05+7.59+5.27+3.11+7.18+2.95+7.22+2.61=47.96[/tex]
[tex]47.96\div{9}\approx{5.33}[/tex]
HELP PLEASE QUICKLY!!!!
The expression that shows the result of applying the distributive property is 21y - 7/11 (option D).
What is the expression?The distributive property states that an expression that has this form a(b + c) can be solved as a x (b + c) which becomes ab + ac.
Thus, to solve an expression using the distributive property, multiply the term in the brackets by the term outside the brackets. Multiplication is the process of determining the product of two or more numbers. The sign that represents multiplication is x.
7(3y - 1/11)
= 7 x (3y - 1/11)
= 21y - 7/11
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