Which is the correct description of the transformation of figure QRST to figure QꞌRꞌSꞌTꞌ?
A. a 90° counterclockwise rotation around point R of pre-image QRST
B. a 180° clockwise rotation around point R of pre-image QRST
C. a 90° clockwise rotation around point R of pre-image QRST
D. a reflection across point R of pre-image
Answers
Answer:
D. a reflection across point R of pre-image
Step-by-step explanation:
Considering this question is over 4 years old I highly doubt you're going to see this question, or maybe you're not even in school anymore. Even after all that being said, I'm still going to ask this:
May I have brainliest please? :)
Related Questions
the 6 a.m. temperatures for Four constructed days in the town of Lincoln were -12.1 Celsius -7.8 Celsius -14.3 Celsius and -7.2 Celsius what was the average 6 a.m. temperature for the four days
Answers
The cost, c(x), for a taxi ride is given by c(x) = 2x + 4.00, where x is the number of minutes. What does the slope mean for this situation?
A. The taxi ride costs a total of $4.00.
B. The taxi ride costs $2.00 per trip.
C. The rate of change of the cost of the taxi ride is $2.00 per minute.
D. The rate of change of the cost of the taxi ride is $4.00 per minute.
Answers
Answer:
Answer is option c
Step-by-step explanation:
Given that the cost, c(x), for a taxi ride is given by c(x) = 2x + 4.00, where x is the number of minutes.
We find that whenever 1 minute increases cost increases by 2 dollars.
Hence rate of change of cost with respect to minute of taxi ride = 2 dollas
i.e. this is of the form y=mx+b where
m =2 is the slope or rate of change and
b = 4 is the fixed charge even for 0 minute.
Thus option C is right
South middle school has 750?students. North middle school has 13/15 times as many students as South. Does north middle school have more or fewer than 750 students?
Answers
Answer : The north middle school have fewer than 750 students.
Step-by-step explanation:
Let the number of students in south middle school be, x
and the number of students in north middle school be, y
Given:
Number students in south middle school = x = 750
and,
North middle school has 13/15 times as many students as South. That means,
[tex]y=\frac{13}{15}\times x[/tex] ........(1)
Now put the value of 'x' in expression 1, we get:
[tex]y=\frac{13}{15}\times 750[/tex]
[tex]y=650[/tex]
Thus, number of students in north middle school = y = 650
From this we conclude that north middle school have fewer than 750 students.
Hence, the north middle school have fewer than 750 students.
The integer n3 + 2n is divisible by 3 for every positive integer n
prove it by math induction
is it my proof right ?
Answers
Let's show that P(n) holds for n = 1
P(1) = 1^3 + 2(1) = 1 + 2 = 3 which is divisible by 3.
Now assuming, that p(k) is true, let's show that p(k + 1) is also true
p(k + 1) = (k + 1)^3 + 2(k + 1) = k^3 + 3k^2 + 3k + 1 + 2k + 2 = k^3 + 3k^2 + 5k + 3 = k^3 + 2k + 3k^2 + 3k + 3 = k^3 + 2k + 3(k^2 + k + 1), since P(k) is true => k^3 + 2k is true and 3(k^2 + k + 1) is divisible by 3 for all values of k wich shows that P(k + 1)is also true.
Therefore, P(n) is true for all positive integer value of n.
By the principle of mathematical induction, we have shown that for all positive integers n, n^3 + 2n is divisible by 3.
Proof by Induction: n^3 + 2n is divisible by 3 for all positive integers n.
Base Case:
For n = 1, n^3 + 2n = 1^3 + 2(1) = 3, which is divisible by 3.
Induction Hypothesis:
Assume that for some positive integer k, k^3 + 2k is divisible by 3. We can write this as: k^3 + 2k = 3m, where m is an integer.
Induction Step:
We need to show that (k + 1)^3 + 2(k + 1) is divisible by 3. Expanding the expression:
(k + 1)^3 + 2(k + 1) = k^3 + 3k^2 + 3k + 1 + 2k + 2
= (k^3 + 2k) + (3k^2 + 3k + 3)
Substituting the induction hypothesis:
= 3m + 3(k^2 + k + 1)
= 3(m + k^2 + k + 1)
Since k^2 + k + 1 is an integer (sum of three integers), and m is an integer, their sum (m + k^2 + k + 1) is also an integer. Therefore, (k + 1)^3 + 2(k + 1) is divisible by 3.
The graph of the piecewise function f(x) is shown.
What is the domain of f(x)?
{x | 1 < x < 5}
{x | 1 < x < 5}
{y | −4 < y < 1}
{y | −4 < y < 1}
Answers
Answer:
Domain is {x| 1<=x <5}
Step-by-step explanation:
The graph of the piecewise function f(x) is shown.
In the given graph of piecewise function
Domain is the set of x values for which the function is defined
first graph is from x= 1 to 3, 3 is excluded
second graph is from x= 3 to 5, 5 is excluded
So the graph of x values is from x=1 to 5 ( 5 excluded because we have open circle at 5)
Domain is {x| 1<=x <5}
Calculate the slope of the line given the points (2, 1) and (1, -4).
A. 1/5
B. 5
C.-3
D. none of the above
Answers
Find f(6) if f(x) = x2 ÷ 3 + x.
Answers
A function is denoted as y = f (x), where x is the argument or input of the function. This means that from f(6) follows that x= 6, and to get the answer we should replace x with 6.
f(6)=6^2÷ 3 + 6= 36÷ 3 + 6= 12+6= 18
f(6)=18
Answer:
The value of f(6) is, 18
Step-by-step explanation:
Given the function:
[tex]f(x) = x^2 \div 3+ x[/tex] .....[1]
We have to find the value of [tex]f(6)[/tex].
Put x = 6 in [1] we have;
[tex]f(6) = 6^2 \div 3+ 6[/tex]
⇒[tex]f(6) = 36 \div 3 +6[/tex]
⇒[tex]f(6) = \frac{36}{3}+6[/tex]
Simplify:
[tex]f(6) = 12 +6 = 18[/tex]
Therefore, the value of f(6) is, 18
What are the variable terms in the expression?
6x^2 + 3xy + 4z
Answers
Answer:
[tex]6x^2,3xy,4z[/tex]
Step-by-step explanation:
We are given that an expression
[tex]6x^2+3xy+4z[/tex]
We have to find the variable terms in the given expression.
Variable term: The term which contains variable is called variable term.
Constant term:The term which does not contain variable is called constant term.
To find the variable terms we will find the terms which contains variable.
We can see that in the given expression
There are three terms which contain variables.
Hence, the variable terms are
[tex]6x^2,3xy,4z[/tex]
A baseball team plays in a stadium that holds 51,000 spectators. With ticket prices at $10, the average attendance had been 38,000. When ticket prices were lowered to $8, the average attendance rose to 42,000. Find the demand function (price p as a function of attendance x), assuming it to be linear?? ...?
Answers
Answer:
[tex]p(x)=-0.0005x+29[/tex]
Step-by-step explanation:
It is given that a baseball team plays in a stadium that holds 51,000 spectators.
Let x be the attendance and p be the price.
With ticket prices at $10, the average attendance had been 38,000. When ticket prices were lowered to $8, the average attendance rose to 42,000.
Assuming that the demand function is linear. It means, the demand line passes through the points (38000,10) and (42000,8).
The equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-10=\dfrac{8-10}{42000-38000}(x-38000)[/tex]
[tex]y-10=\dfrac{-2}{4000}(x-38000)[/tex]
[tex]y-10=-0.0005(x-38000)[/tex]
[tex]y-10=-0.0005x-0.0005(-38000)[/tex]
[tex]y-10=-0.0005x+19[/tex]
[tex]y=-0.0005x+19+10[/tex]
[tex]y=-0.0005x+29[/tex]
Substitute y=p(x).
[tex]p(x)=-0.0005x+29[/tex]
Therefore, the demand function is [tex]p(x)=-0.0005x+29[/tex].
Which terms could have a greatest common factor of 5m2n2? Check all that apply.
m5n5
5m4n3
10m4n
15m2n2
24m3n4
Answers
Answer : [tex] 5m^4n^3[/tex] and [tex] 15m^2n^2[/tex]
Greatest common factor of [tex] 5m^2n^2 [/tex]
If we are able to factor out [tex] 5m^2n^2 [/tex] from each option then that would be our answer.
Lets check with each options
(a)[tex] m^5n^5 [/tex], we cannot take out 5.
(b)[tex] 5m^4n^3 [/tex], We can take out common factor and it can be written as [tex] 5m^4n^3=5m^2n^2(m^2n) [/tex]
(c) [tex] 10m^4n [/tex], we cannot take out n^2 because we have only 'n'
(d) [tex] 15m^2n^2[/tex], We can take out common factor and it can be written as [tex] 15m^2n^2=5m^2n^2(3) [/tex]
(e) [tex] 24m^3n^4 [/tex], we cannot take out 5 because we have 24
So answer is (b) and (d)
SOLVE. (2ax + 1/2 bx)2 ...?
Answers
Explanation of how to expand and simplify the given quadratic expression Hence answer is 4a²x² + abx² + 1/4b²x²,
Solve the equation: (2ax + 1/2 bx)²
Expanding the given expression:
(2ax + 1/2 bx)²
= (2ax)² + (2ax) (1/2 bx) + (1/2 bx)²
= 4a²x² + 2abx² + 1/4b²x²
= 4a²x² + abx² + 1/4b²x²
Answer: 4a²x² + abx² + 1/4b²x²
A sprinter can run 279 feet in 9 seconds. Find the sprinter's unit rate of feet per second.
Answers
To find the sprinter's unit rate of feet per second, divide the total distance by the time. In this case, the sprinter's unit rate is approximately 31 feet per second.
Explanation:To find the sprinter's unit rate of feet per second, we need to divide the total distance the sprinter can run by the time it takes. In this case, the sprinter can run 279 feet in 9 seconds. So the unit rate is 279 feet divided by 9 seconds, which is approximately 31 feet per second.
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The sum of two numbers is 27. the larger number is 6 more than twice the smaller number. what are the numbers?
Answers
x+y=27
Pick a variable to represent your larger number, then make an equation for it
y=2x+6
Substitute your equation for that variable back into the original equation so you get everything in terms of one variable.
x+2x+6=27
Solve!
3x+6=27
3x=21
x=7
Plug x back into the equation:
7+y=21
y=14
consider the function f(x) = {(sinx)/x, x cannot equal 0
{k, , x = 0
In order for f(x) to be continuous at x - 0, the value of k must be..
Answers
As x -> 0, Limit of [sin (x) / x ] = 1.
Then, given that f(0) = k , k must be 1.
Answer: k must be 1.
Final answer:
For the function f(x) = (sinx)/x to be continuous at x = 0, the value of k must be 1, which is the limit of the function as x approaches 0.
Explanation:
The student is asking about the continuity of a given function at x = 0. To determine what the value of k must be for the function f(x) = (sinx)/x when x is approaching 0, we need to look at the limit of the function as x approaches 0.
Although the function is not defined at x = 0 due to division by zero, we know that the limit of (sin x)/x as x approaches 0 is 1. This can be proven using L'Hospital's rule or the squeezing theorem. Hence, for the function to be continuous at x = 0, the value of k must also be 1.
kelly has 4 times as many songs on her music player as Lou. Tiffany has 6 times as many songs on her music player as Lou. Altogether, they have 682 songs on their music players. How many songs does kelly have?
Answers
tiffany = t
Lou = l
k = 4l
t = 6l
4l + 6l + l = 682
11l = 682
l = 62
k = 4l
k = 4 * 62
k = 248
Kelly has 248 songs on her music player.
Calculate cos to two decimal places
Answers
:)
a thermometer is guaranteed to give a temperature no more than 1.2 degrees farenheit from the actual temperature. if thermometer reads 28 degrees farenheit, write and solve equation to find max and min temps could be
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The students at Monroe Junior High sponsored a canned food drive. The seventh-grade class collected 129% of its canned food drive goal.
a. ABOUT how many canned foods did the seventh-graders collect if their goal was 200 cans? _____________________
b. ABOUT how many canned foods did the seventh-graders collect if their goal was 595 cans? _________________________
Answers
260 cans
b. ABOUT how many foods did the seventh-graders collect if their goal was 595 cans?
770 cans
B)768 (rounded up)
Math question: Write the equation of the line with an undefined slope, passing through the point (2, 5).
Answers
(2,5); 2 is the x - coordinate and 5 is the y - coordinate
Slope - intercept form: y = mx + b
As shown above, the equation would've been written in slope - intercept form, where 'm' represents the slope and 'b' represents the y - intercept. However, in this case, the slope is undefined.
In the equation, you are ONLY looking for the x - intercept. Therefore, the x - intercept is 5, so that may be the equation of the line.
x = 5
The equation of a line with an undefined slope passing through the point (2, 5) can be written as x = 2.
When the slope of a line is undefined, it means that the line is vertical. In a vertical line, the x-coordinate remains constant while the y-coordinate can take any value.
So, for this line passing through the point (2, 5), the x-coordinate will always be 2, regardless of the value of y. Therefore, we can represent this line with the equation x = 2.
A $15,000, 6 percent , 50-day note ,dated November 8, is discounted at 5 percent on November 28, the proceeds of the note would be?
A. $14,936,46
b. $ 15,610,64
c. $63,54
d. $15,061,98
Answers
Answer:
D. $15061.98
Step-by-step explanation:
In order to calculate the proceeds we will using the following computation:
Principal + {Principal * Discounted rate * Frequency of a year on Maturity Date}
15,000 + {15,000 * 5% * (30/365)}
Hence, the proceeds of note would be $15,061.98
what is an asymptote? ...?
Answers
A line that the graph of a function approaches but never touches.
For exercises 19-24, y varies directly with x
if y = 25 when x = 15, find y when x = 6.
Help me explain how to do it step by step !
Answers
1. Write an equation
[tex]y = ax[/tex]
2. Substitute '25' for y and '15' for x
[tex]25 = a(15)[/tex]
3. Move the variable (a) to the left side of the equation
[tex]a = 25/15[/tex]
[tex]y = ( \frac{25}{15})x[/tex]
when x = 6
[tex]y = (\frac{25}{15}) (6)[/tex]
[tex]y = \frac{150}{15} [/tex]
[tex]y = 10[/tex]
The circumference of a circle is defined to be the _________.
A. the width of the circle
B. length of the radius
C. distance around the circle
D. area of the circle
Answers
Answer:
it is the distance of a circle
Step-by-step explanation:
TRUE or FALSE.
Based only on the information given in the diagram, it is guaranteed that ΔABC ≈ ΔXYZ.
Answers
It is a true statement that it is guaranteed that ΔABC ≈ ΔXYZ in the diagram given.
Why will ΔABC equals ΔXYZ?In this context, all triangles have 180 degrees altogether in as much they have a standard size of the shape.
The triangles have the sames standard size although the letters of the angles are different.
Therefore, the statement is a true statement.
Read more about triangles angle
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13x - 7 = 136
11
15
8
9
Answers
x = 11
In a basic sine curve, where can the zeros NOT be found
Answers
where n is any number.
Solve the system of equations.
x + 3y = −1
2x + 2y = 6 (1 point)
(−4, 1)
(2, −1)
(4, −1)
(5, −2)
Answers
the solution to the system of equation is (5, -T
System of equationx + 3y = −1 2x + 2y = 6From equation 1;
x = -1 - 3y
Substitute x = -1-3y into equation 2
x + y = 3
-1-3y + y = 3
-1 -2y = 3
-2y = 4
y = -2
Since x + y = 3
x = 3 + 2
x = 5
Hence the solution to the system of equation is (5, -2)
(1.) decide if function f is invertible.
a) f(n) is the number of students in your calculus class whose birthday is on the nth day of the year.
b) f(x) is the volume in litters of x kilograms of water at 4 degrees celsius. ...?
Answers
f(n) is not invertible because several different days, n, may have the same number of students, f(n). Then for one specific f(n) you cannot determine a unique n.
b) f(x) is the volume in litters of x kilograms of water at 4 degrees celsius.?
f(x) is invertible because each x gives a different f(x), then you can determine unambiguously which f(x) corresponds to each x.
which phrase best defines a rhombus? a.a parallelogram with four congruent anglesb.a parallelogram with four congruent sidesc.a quadrilateral with exactly one pair of parallel sides d.a quadrilateral with no congruent sides
Answers
A cable installer charges $30.00 per hour plus a $50.00 service charge. Your father's firm hires him to hook up his company's Internet service.
Find the total charges if it takes the cable installer 8.5 hours to complete the task. ...?
Answers
Final answer:
To calculate the total charges for the cable installation, multiply the hourly rate of $30.00 by the 8.5 hours spent ($255.00) and add the $50.00 service charge, resulting in total charges of $305.00.
Explanation:
The task requires us to calculate the total charges based on the cable installer's hourly rate and a service charge. The installer charges $30.00 per hour and there's an additional $50.00 service charge. To find the total cost for 8.5 hours of work, we multiply the hourly rate by the number of hours and then add the service charge.
Calculation: Total charges = (Hourly rate × Number of hours) + Service charge = ($30.00 × 8.5 hours) + $50.00
Step 1: Calculate the hourly charge
Hourly charge = $30.00 × 8.5 = $255.00
Step 2: Add the service charge
Total charges = $255.00 + $50.00 = $305.00
The total charges for the cable installation service will be $305.00.