Answers
Answer:
A
Step-by-step explanation:
The figure that illustrates a reflection in line k is figure A.
What is Reflection?A perpendicular bisector is a reflecting line. The perpendicular bisector of all segments connecting the pre-image points to their matching image points forms the reflecting line while a figure is reflecting.
We have a figure.
We have to determine the correct option a reflection in line k.
So, the line k must lie in between the figure and gives the mirror image of each other.
Also, line should be at equal distance from both figure.
Thus, the figure that illustrates a reflection in line k is figure A.
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Related Questions
Find the length of segment JD
Answers
And then J =19
Which set of ordered pairs (x, y) could represent a linear function?
A = {(-2,5), (0, 3), (2, 1), (5,-2)}
B = {(2,9), (4,5), (5,2), (6,0)}
C = {(-3,-8), (0,-4), (3,-1), (6,2)}
D = {(-2,3), (0, -1), (2,-4), (4,-7)}
Answers
Which tatement correctly compare the meaure of center of the data in the dot plot
Answers
A statement that correctly compares the measures of center in the two sets of data is: Both the mean and median are greater for Plot A than for Plot B.
The correct answer is an option (A)
Consider plot A.
The data value represented on the dot plot:
3, 4, 4, 5, 5, 6, 6, 7, 7, 10
Using the formula of mean, the mean of Plot A would be:
mean = (3 + 4 + 4 + 5 + 5 + 6 + 6 + 7 + 7 + 10) / 10
mean = 57/10
mean = 5.7
The middle value of the data is: 5, 6
So, the median is:
Median = (5 + 6)/2
= 11/2
= 5.5
Consider plot B.
The data value represented on the dot plot:
3, 4, 4, 5, 5, 5, 6, 6, 6, 7
mean = (3 + 4 + 4 + 5 + 5 + 5 + 6 + 6 + 6 + 7)/10
mean = 51/10
mean = 5.1
The middle value of the data is: 5, 6
So, the median is:
Median = (5 + 5)/2
= 5
Hence, both the mean and median are greater for Plot A than for Plot B.
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The complete question is:
Which statement correctly compares the measures of center in the two sets of data? Both the mean and median are greater for Plot A than for Plot B. Both the mean and median are greater for Plot B than for Plot A. Plot A has a greater median than Plot B, but Plot B has a greater mean. Plot B has a greater median than Plot A, but Plot A has a greater mean.
On a school trip the ratio of the number of teachers to the number of students is
1:15
The ratio of the number of male students to the number of female students is 7:5
Work out what percentage of all the people on the trip are female students.
Give your answer correct to the nearest whole number.
(3 marks)
Answers
Answer: 39%
Step-by-step explanation:
Given
The ratio of the number of teachers to the number of students is 1:15.
and the ratio of the number of male and female students is 7:5
Suppose the number of teachers is x. So, students become 15x
For the ratio of male to female, assume male is 7y, so female is 5y
The sum of the male and female students comprises the whole student community
[tex]\therefore 15x=7y+5y\\15x=12y\\5x=4y[/tex]
The percentage of female students on the trip is
[tex]\Rightarrow \dfrac{5y}{x+15x}\times 100\\\\\Rightarrow \dfrac{5y}{16x}\times 100\\\\\Rightarrow \dfrac{5\times \frac{5}{4}x}{16x}\times 100\\\\\Rightarrow \dfrac{625}{16}=39\%[/tex]
A water sprinkler sends water out in a Circular pattern. How many feet away from the sprinkler can it spread water if the area formed by the watering pattern is 1,133.54 Square feet? used 3.14 for pi.
The sprinkler can spread water ____ Feet away
Answers
Answer: 38 feet
Step-by-step explanation:
make an equation that satisfies the above statement.
make it [tex]3.14(r)^{2} = 1133.54^{2}\\=> r^{2} = \frac{1133.54}{3.14} \\=> 361 = r^2\\=> r = \sqrt[]{361} \\=> 19[/tex]therefore 19 is the radius and the diameter is the answer which is 38
If the amount of space between support towers is between 200 and 300 feet, determine the number of towers you will use.
SHOW ALL WORK TO EARN CREDIT.
Answers
200+300 500 divided by 2
250 final ans
50 POINTS!!!! urgent!!!!!!
Mary is collecting cup cakes for the school fair. She will make 12 cupcakes to start it off. She plans to collect 24 cupcakes each
day from her surrounding neighborhood for the next 3 days. If you model this word problem for Mary as y=mx+b then match the
corrects pairs.
a. 12
b. 84
c. 3
d. 24
1. m
2. y
3. x
4. b
Answers
Since the problem is about linear equation in the form of y = mx + b, initial number represents the value of b = 12, the number of days represents the value of x = 3, the daily collection of cupcakes represent the slope m = 24, then the value of y is:
y = 24*3 + 12 = 72 + 12 = 84So the matching pairs are:
a ⇔ 4, b ⇔ 2,c ⇔ 3,d ⇔ 1 .A guy wire is attached to an upright pole 6 meters above the ground. If the wire is anchored to the ground 5 meters from the
base of the pole how long is the wire? Give your answer to two decimals.
Answers
A guy wire is attached to an upright pole 6 meters above the ground. If the wire is anchored to the ground 5 meters from the base of the pole 7.81 m long is the wire. This can be solved by using the concept of Pythagoras theorem.
What is Pythagoras theorem?The widely accepted geometric principle known as the Pythagorean Theorem states that the square on the hypotenuse of a right triangle equals the sum of the squares on its legs (the side opposite the right angle).
The hypotenuse side of a right-angled triangle's square is equal to the sum of its other two sides, according to Pythagoras' Theorem. The perpendicular, base, and hypotenuse of this triangle are its three designated sides.
Let, assume ΔABC is a right-angled triangle
where, AC = 6m be the pole.
AB = 5m is the length of a guy wire and is attached to stake B
By Pythagoras theorem,
BC² = AB² + AC²
or, BC² = (5)² + (6)²
or, BC² = 36 + 25
or, BC = √61 m
or, BC = 7.81 m
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The manufacturer's price for a Jinko car is $x
Ben was given a 7% discount on the manufacturer's price when he bought a Jinko.
Ben paid $23 622 when he bought his Jinko.
(a) Calculate the value of x.
Answers
Answer:
x = $25,400 [the original price of the Junko car]
Step-by-step explanation:
The price Ben paid, $23,622, is after the 7% discount. Let x be the original price of the Jinko car. Ben's prices reflect a 7% discount:
x*(1-0.07) = $23,622 [The expression (1-0.07) means the original price, 1, is reduced by 7%, -0.07, to give the final price]
(0.93)x = $23,622
x = $25,400
There are 20 pennies in a jar. If 16% of the coins in the jar are pennies, how many coins are in the jar?
Answers
Answer:
125 coins
Step-by-step explanation
realized that 25 coins would be 20% of the amount of coins in the jar. Multiply 5 on both and you see that 125 coins is 100% the amount that is in the jar.
hope this helps :)
reply If you need a more proper explanation.
The number of coins in the jar are 125 coins.
What is the percentage?Percentage is a way to express a number as a fraction of 100. It is often used to represent ratios and proportions in a more convenient and understandable form, especially in financial and statistical contexts. It is denoted using the symbol "%".
We know that 16% of the coins in the jar are pennies. Let's represent the total number of coins in the jar as "x".
Then, we can set up the following equation:
0.16x = 20
Solving for "x", we can divide both sides by 0.16:
x = 20/0.16
x = 125
Therefore, there are 125 coins in the jar.
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Solve the system of linear equations using the matrix method.
What do X and Y equal?
Answers
A Variable is a symbol for a number we don't know yet. It is usually a letter like x or y. A number on its own is called a Constant.
Answer:
The matrix method is basically making the matrix in the picture equal to
{1 0 = x}
{0 1 = y}
To do this you must multiply reciprocals and add opposites to make 2x = 1, 7y = 0, 3x = 0, and -12y = 1.
I used the simple way of solving linear equations:
3(2x + 7y = 48)
-2(3x - 12y = 27)
6x + 21y = 144
-6x + 24y = -42
45y/45 = 102/45
y = 34/15 or 2.26667
Plug in y-value to get x-value:
2x + 7(34/15) = 48
- 7(34/15) -7(34/15)
2x = 482/15
2x/2 = 482/15/2
x = 241/15 or 16.06667
Is the simplified form of 2 square foot 3. Square Foot 12 rational
Answers
The simplified form of the given radical expression is rational.
What is exponent ?Exponent can be defined as the method of expressing large numbers in terms of powers. Exponent refers to how many times a number multiplied by itself. For example, 6 is multiplied by itself 4 times, i.e. 6 × 6 × 6 × 6.
We are asked to determine whether the simplified form of 2√3.√12
To solve our given problem we will use exponent property for radicals
√m.√n = a√m.n
2√3.√12=2√3.12
2√3.√12=2√36
2√3.√12=2×6
2√√3.√12=12
The simplified form of the given radical expression is rational.
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Since our given radical expression simplifies to a rational, therefore, our answer is yes
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Which statement is true?
Answers
Answer: (d)
Step-by-step explanation:
For option (a)
[tex]\sqrt[m]{x}\sqrt[m]{y}=\sqrt[m]{xy}[/tex]
for the same exponent, numbers multiply keeping exponent the same.
for option (b)
[tex]a\sqrt[n]{x} +b\sqrt[n]{y} =\left(a+b\right)\sqrt[n]{x}[/tex]
for option (c)
[tex]\Rightarrow \dfrac{\sqrt[m]{x} }{\sqrt[m]{y} }=\sqrt[m]{\dfrac{x}{y}}[/tex]
for option (d)
exponent multiplies
[tex]\therefore \left(\sqrt[m]{x^a} \right)^b=\sqrt[m]{x^{ab}}[/tex]
option (d) is correct
Miranda is buying yarn so she can crochet scarves for her family. She likes the Furry Fibers brand best. At the store, she finds a 7-ounce roll of Furry Fibers yarn for $8. 33 and a 16-ounce roll for $18. 72. Which size roll is the better value?
Answers
The size roll which is the better value is $1.17 per ounce.
To determine which size roll is the better value, we need to compare the price per ounce of each roll.
To find the price per ounce of the 7-ounce roll, we divide the total cost by the number of ounces: $8.33 ÷ 7 ounces = $1.19 per ounce.
To find the price per ounce of the 16-ounce roll, we divide the total cost by the number of ounces: $18.72 ÷ 16 ounces = $1.17 per ounce.
Since $1.17 per ounce is less than $1.19 per ounce, the 16-ounce roll is the better value. It is cheaper per ounce than the 7-ounce roll.
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What is the length of 3rd side of each triangle?
Answers
The sum of squares of two sides is equal to the square of the third side.
Finding the Third Side of a Triangle with Two Sides
Let's assume that the triangle is right-angled, as the third side of a right-angled triangle can only be found when the other two sides are known.
According to Pythagoras' Theorem, the sum of squares of two sides is equal to the square of the third side.If leg a is the missing side, then transform the equation to the form where a is on one side and take a square root: a = √(c² - b²)If leg b is unknown, then: b = √(c² - a²)For hypotenuse c missing, the formula is: c = √(a² + b²)A right-angle triangle is what?
This particular sort of triangle adheres to the Pythagoras theorem and may be calculated using the trigonometry tool.
We are aware that the right-angled triangle follows Pythagoras' Theorem.
According to the Pythagorean Theorem, the third side's square equals the sum of the first two sides' squares.
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The complete question should be:
What is the length of 3rd side of a triangle?
round 3.967 to the hundredth place
Answers
Find the number in the hundredth place
6 and look one place to the right for the rounding digit 7. Round up if this number is greater than or equal to 5 and round down if it is less than 5.
The number of acres in a landfill is given by the function A=3000e−0. 05t, where t is measured in years. How many acres will the landfill have after 9 years? (Round to the nearest acre. )
Is this exponential growth or decay?
Answers
A function A = 3000 e^(-0. 05t) is an exponential decay function.
And the landfill after 9 years = 1912.8 acres
From given information, the number of acres in a landfill is given by the function A = 3000 e^(-0. 05t), where t is measured in years.
To find: the landfill after 9 years
Substitute t = 9 years in above function.
A = 3000 × e^(-0. 05t)
A = 3000 × e^(-0.05 × 9)
A = 3000 × e^(-0.45)
A = 3000 × 0.6376
A = 1912.8 .............(1)
Substitute t = 9 years in given function.
A = 3000 e^(-0. 05t)
A = 3000 × e^(-0.05 × 0)
A = 3000 × e^(0)
A = 3000 × 1
A = 3000
This means, initially a landfill was 3000 acres.
From (1) we can observe that after 9 years, the landfill is 1912.8 acres.
A landfill has been reduced.
So, a function is exponential decay function.
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For two weeks the highest temp each day was recorded in four different cities. Line L, M, N, & P are graphs of the temp over time in Lubbock, Memphis, New Orleans, & Phoenix. Which statement is true?
A. the high temp in Lubbock increased as time passed
B. the high temp in Memphis decreased steadily
C. Initially, the high temp was warmer in Phoethen in Memphis
D. The high temp in Phoenix rose faster than the temp in New Orleans
Answers
How do you make an XY graph in Excel?
Answers
Select the data for which you want to create a chart slope . Click INSERT > Recommended Charts. On the Recommended Charts tab, scroll through the list of charts that Excel recommends for your data
When you find the chart you like, click it > OK.
The formula for a horizontal line at y=4 is as follows: There is no slope. 4.0 is the y-intercept.
What are the Slope and intercepts ?
In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
The slope expresses how quickly the dependent variable changes when the independent variable changes. The Greek capital letter D or D is frequently used by mathematicians and economics to represent change. Slope contrasts the change in the vertical axis, y, with the change in the horizontal axis, x.
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I need help with this question
Answers
Answer:
18 is the answer
Step-by-step explanation:
because you times 2 my 9
Answer:
18
Step-by-step explanation:
9 x 2 9 + 9 ? u good people ?
What are the 7 steps in problem solving examples?
Answers
The 7 stepd in problem-solving examples are:
Step 1: Read through the problem
Step 2: Draw diagram
Step 3: Assign variable to each unknown
Step 4: Translate information into an equation
Step 5: Check the equation
Step 6: Use algebra rules to solve the equations
Step 7: Check the final answer.
We know that the word problems are required to translate the real world problem into mathematical terms.
Everything mentioned in the word problem is important.
The seven necessary steps in problem solving examples:
Step 1: Read the problem throughly
Step 2: Draw picture / diagram / arrow diagram related to example
Step 3: Assign an alphabate to each unknown value
Step 4: Translate information into an equation
Step 5: Check the types equation
Step 6: solve the equations using algebra rules
Step 7: Check the final answer.
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x:(x+3) = 2:3
work out the value of x
Answers
Answer:
x = 6
Step-by-step explanation:
x:(x + 3) = 2:3
[tex] \frac{ \\ x}{x + 3} = \frac{2}{3} [/tex]
cross multiply
3x = 2(x + 3)
3x = 2x + 6
subtract (2x) from both sides
3x – 2x = 2x – 2x + 6
x = +6
x = 6
A function multiplies its input by 3/4 then adds 7 to get its output. Use function notation to represent this function.
f(x)=_____
Answers
In function notation, the function is represented as f(x) = (3/4)x + 7.
In function notation, the function is represented by the letter "f" followed by the input value inside parentheses. The input value is typically represented by the letter "x". In this case, the function takes "x" as its input and performs the operation of multiplying it by 3/4 and then adding 7 to get the output. We can represent this function using the equation f(x) = (3/4)x + 7.
It's worth noting that the function notation is a way to express a mathematical relationship between two variables, the input variable (x) and the output variable (f(x)), in which every input value of x corresponds to exactly one output value. This equation represents the same function regardless of the input value, and it can be used to find the output for any input value by simply substituting it in the equation.
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Which inequality describes the graph?
Answers
Answer:
y >_ 2x-2
the 3rd one
Step-by-step explanation:
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Deshaun deposits $4,000 into an account that pays simple interest at an annual rate of 6% . He does not make any more deposits. He makes no withdrawals until the end of 2 years when he withdraws all the money.
Answers
After 2 years, Deshaun will have earned $4,000 * 6% = $240 in interest.
The total amount of money in the account at the end of 2 years will be $4,000 + $240 = $4,240. This is the amount Deshaun will withdraw.
Helppppppp
1. Which of the following equations are written in proper slope-intercept form?
y = -x + 9
4y = 2x - 1
x + y = 10
3x + 7y = 0
Answers
Answer:
a. y = -x + 9
Step-by-step explanation:
slope-intercept form is
y = mx + b
so of the options, only option a follows slope-intercept form.
hope this helps!
If you place a 39-foot ladder against the top of a 23-foot building, how many feet will
the bottom of the ladder be from the bottom of the building? Round to the nearest
tenth of a foot.
Answers
Answer:
31.5 ft
Step-by-step explanation:
Use the Pythagorean Theorem
a² + b² = c²
Plug in the knowns
a² + 23² = 39²
Subtract 23² from both sides
a² = 39² - 23²
a² = 1521 - 529
a² = 992
Take the square root of both sides
a = 31.496031496
Rounded
a = 31.5 ft
The bottom of the ladder from the bottom of the building will be equal to 31.5 ft.
What is an expression?Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations. A mathematical operation such as reduction, addition, multiplication, or division is used to integrate terms into an expression.
As per the given instructions in the question,
Use the equation of Pythagoras's theorem
a² + b² = c²
Put in the known values in the above equation,
a² + 23² = 39²
a² = 39² - 23²
a² = 1521 - 529
a² = 992
a = √992
a = 31.496 or,
a = 31.5 ft
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This home work is due tonight but I don’t understand anything? Pls help!
Answers
Total distance travelled by the family in the truck is 497.98 miles
How to solve an equation?An equation is an expression that shows the relationship between two or more numbers.
The rental of the truck has a base cost of $49.95, and $1.19 per mile. The average gas mileage is 18 miles per gallon.
Let us assume the total distance travelled was x miles, hence:
Total gas consumed = x miles / 18 miles per gallon = x/18 gallons
The cost is $3.89 per gallon, hence:
Total cost of gas = $3.89 per gallon * x/18 gallons = 3.89x/18
Total cost of journey = 1.19x + 3.89x/18 + 49.95 = 2531x/1800 + 49.95
If $724.85 was charged, hence:
724.85 = 2531x/1800 + 49.95
x = 497.98
Total distance is 497.98 miles
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What is the value of x in the system of equations shown below?
5x + 4y = 1
y = 1 - 3
Answers
HELP ME NOW PLEASE DESCRIBE AND CREATE FRACTION PATTERNS
find the rule
1 3/8, 1 3/4, 2 1/8, 2 7/8
Answers
The missing term of the arithmetic sequence is 2 1/2
What is Arithmetic Progression?An arithmetic progression is a sequence of numbers in which each term is derived from the preceding term by adding or subtracting a fixed number called the common difference "d"
The general form of an Arithmetic Progression is a, a + d, a + 2d, a + 3d and so on. Thus nth term of an AP series is Tn = a + (n - 1) d, where Tₙ = nth term and a = first term. Here d = common difference = Tₙ - Tₙ₋₁
Sum of first n terms of an AP: Sₙ = ( n/2 ) [ 2a + ( n- 1 ) d ]
Given data ,
Let the arithmetic sequence be represented as A
Now , the equation will be
A = 1 3/8 , 1 3/4 , 2 1/8 , x , 2 7/8
The first term a₁ = 1 3/8
The second term a₂ = 1 3/4
The common difference d of the arithmetic sequence d = second term - first term
Common difference d = 1 3/8 - 1 3/4 = 3/8
Now , the fourth term of the arithmetic sequence is given by
Tn = a + (n - 1) d
Substitute the values in the equation , we get
a₄ = 1 3/8 + ( 4 - 1 ) ( 3/8 )
a₄ = 11/8 + 9/8
a₄ = 20/8
a₄ = 2 4/8
a₄ = 2 1/2
Therefore , the fourth term is 2 1/2
Hence , it is an arithmetic sequence and the fourth term is 2 1/2
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