Answer:
To find the coordinates of the vertices of triangle BCD after it is scaled by a factor of 3, centered at the origin, you would first need to find the coordinates of the vertices of the triangle when it is centered at the origin. This can be done by subtracting the coordinates of the original centroid, which is the point (3.33, -0.66) for triangle BCD, from the coordinates of each vertex. So the coordinates of vertex B would be (2 - 3.33, -1 + 0.66) = (-1.33, -0.34), the coordinates of vertex C would be (4 - 3.33, 1 - 0.66) = (0.67, 0.34), and the coordinates of vertex D would be (5 - 3.33, -2 + 0.66) = (1.67, -1.34).
To scale the triangle by a factor of 3, you would multiply the coordinates of each vertex by 3. So the coordinates of the scaled triangle would be (-3.99, -1.02) for vertex B, (2.01, 1.02) for vertex C, and (5.01, -4.02) for vertex D.
Therefore, the coordinates of the vertices of triangle BCD after it is scaled by a factor of 3, centered at the origin, would be (-3.99, -1.02), (2.01, 1.02), and (5.01, -4.02).
GR8reg_Math_T4-5_USA_OL_FY21
Nine hundred people who attended a movie were asked whether they enjoyed it. The table shows the results
Did Not Enjoy
Total
Children
Adults
Enjoyed
461
277
114
162
Total
738
900
How many more children were surveyed than adults? Enter a numerical answer only.
children
Answer: it says there are Children cost 461 I think and you have to add the Children and adults
Step-by-step explanation:
These four numbers are plotted on a number line:
2 5 3 1
3352
Which is the correct ordering on the number line, from left to right?
Answer:
yes
Step-by-step explanation:
The following are the ages (years) of 5 people in a room:
14
,
22
,
14
,
13
,
18
A person enters the room.
The mean age of the 6 people is now 15.
What is the age of the person who entered the room?
Using Equivalent Ratios to Find a Whole
Quiz
Active
1
2
3
TIME REMAINING
52:51
VA
This week, 300 tickets were sold to the school play. This is 120 percent of the number of tickets sold last week. How
many tickets were sold last week for the school play?
tickets sold
select all expressions equivalent to
3 ¹/2 * 4 + 1 *5 + 6 * 0.5
mina put 1205 pokemon cards into a notebook with 15 cards per page. how many sheets can she fill? how many cards left over
Answer:
she filled 80 pages with 5 left over
Step-by-step explanation:
Explain the difference between a greatest common factor and a least common multpule
Answer:
The Greatest Common Factor, the GCF, is the biggest ("greatest") number that will divide into (that is, the largest number that is a factor of) both 2940 and 3150. On the other hand, the Least Common Multiple, the LCM, is the smallest ("least") number that both 2940 and 3150 will divide into.
Have a good day
PLS HELP FAST 20 POINTS + BRAINLIEST!!
Bacteria in a petri dish double the area they cover every day. If the dish is covered
after 16 days, on what day was only one quarter of it covered?
If ABCD is a square with one side equal to 10 cm what is the length of BD?
Answer:
20
Step-by-step explanation:
10+10+10+10=40
40/2=20
Answer/Step-by-step explanation:
Square = 4 equal sides
1 side = 10 cm
So,
A+B+D+C = 10+10+10+10
so it equals 40
But we arfe looking for half of it or adding of the sides,
B+D
10 + 10 = 20
Answer = 20 cmYou could have also done it by :
The whole thing is 40, and a square has 4 sides. We are looking at 2 sides which is half so ,
40/2 = 20 cm
Answer: 20 cmThere are 336 girls at at concert the ratio of girls to boys at the concert is 4 to 5
Answer:
84 boys at the concert
Step-by-step explanation:
Because 80% of the girls and guys is girs the other 20% is the guys so 84 boys is the other 20%
Answer:
i think 756 but im just trying im sorry if its wrong
A sphere and its dimension are shown in the diagram 15 inches
The measurement that is closest to the volume of the sphere is given as follows:
1,767.1 in³.
What is the volume of an sphere?The volume of an sphere of radius r is given by the multiplication of 4π by the radius cubed and divided by 3, hence the equation is presented as follows:
\(V = \frac{4\pi r^3}{3}\)
From the image given at the end of the answer, we have that the diameter is of 15 units, hence the radius of the sphere, which is half the diameter, is given as follows:
r = 0.5 x 15
r = 7.5 units.
Then the volume of the sphere is given as follows:
V = 4/3 x π x 7.5³
V = 1,767.1 in³.
Missing InformationThe sphere is given by the image presented at the end of the answer.
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36.66 is 47% of what number?
Answer:
78
Explanation:
Let the number = n
So, we say that:
\(47\%\text{ of n}=36.66\)We then write this mathematically as:
\(\begin{gathered} \frac{47}{100}\times n=36.66 \\ 47n=36.66\times100 \end{gathered}\)Divide both sides of the equation by 47:
\(\begin{gathered} \frac{47n}{47}=\frac{36.66\times100}{47} \\ n=\frac{3666}{47} \\ n=78 \end{gathered}\)Thus, 36.66 is 47% of 78.
cuanto es 1 mas 1? dende ecuaciones y detalles es para mi examen virtual please
Answer:
2
Step-by-step explanation:
1+1=2
50 Points! Multiple choice algebra question. Find the domain and range of the function whose graph is shown. Photo attached. Thank you!
Answer:
"B". Domain is all real numbers, and the Range is all positive real numbers
Step-by-step explanation:
It is important to recognize that this function is an exponential function, either by the graph (observe a horizontal asymptote on the x-axis, and increasing exponentially), or more importantly by the equation which is in exponential form \(y=a*b^x\) where "a" is a non-zero real number, and "b" is a positive real number not equal to 1.
Observe that for the given function, a=4 (a real number not equal to zero), and b=2 (a positive real number that is not 1).
The domain for all exponential functions is all real numbers, so this function's domain is all real numbers.
The Range for exponential functions depends on "a", where if "a" is a positive number the Range is positive numbers only, and if "a" is a negative number, the Range is negative numbers only.
Since "a" is positive, the Range is positive numbers only.
Writing the Domain in "set-builder notation" (since all of the choices are given using that notation), the Domain is "all real numbers" put into curly brackets, so {all real numbers}.
Writing the Range in "set-builder notation", recall that the Range is the outputs of the function, so the Range is "y values such that y is greater than zero". There is some shorthand used, where the phrase "such that" is symbolized using a short vertical line (common in set-builder notation), and the phrase "y is greater than zero" is shortened using inequality symbols "y>0". So, the Range is written as { y | y>0 }.
Further, the "Domain" and "Range" are abbreviated with "D" and "R" respectively.
Therefore, the final answer would be D = {all real numbers}; R = { y | y>0 }, which is answer "B"
Use the parabola tool to graph the quadratic function f(x)=−(x−3)(x+1).
Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
The parabola has roots at x=3 and x=-1, so its vertex is halfway between those points, at x=1, and so the y-coordinate of the vertex is -(1-3)(1+1)=4.
Another point that lies on the parabola is (-1, 0).
make e the subject
e-5=2f
Answer:
e-5=2f
take '-5' to the other side where '2f' is
e=2f+5
At a local grocery store, each apple cost $1.89 and each orange cost $2.59. A total of 35 apples and oranges were purchased for a total of $79.95. Let x= number of apples and y=number of oranges. Write a system of linear equations that model the given information. Solve the system to determine the number of apples and oranges that were purchased.
x+y=35
1.89x+2.59y=79.95
y=35-x (and now we put this instead of 'y' in the second equation)
1.89x+2.59(35-x)=79.95 (now we solve this equation)
1.89x+90.65-2.59x=79.95
0.7x=10.7
x=15
y=35-15=20
ANSWER:
15 apples
20 oranges
Is 13/ 4 the same as 3 1/4 ? Explain your answer in complete sentences.
Answer:
no it is not the same.
Step-by-step explanation:
it is not the same because 13/4 is smaller than 3/14. 3 1/4 includes a whole number, and 13/4 doesn't.
Y (4)
+4y ′′
+4y=0 A general solution with x as the independent variable is y(x)=
Answer:
Step-by-step explanation:
We can use the method of undetermined coefficients to solve this differential equation. First, we will need to find the solution to the homogeneous equation and the particular solution to the non-homogeneous equation.
For the homogeneous equation, we will use the form y"+ky=0, where k is a constant. We can find the solutions to this equation by letting y=e^mx,
y"=m^2e^mx -> (m^2)e^mx+k*e^mx=0, therefore (m^2+k)e^mx=0
(m^2+k) should equal 0 for the equation to have a non-trivial solution. Therefore, m=±i√(k), and the general solution to the homogenous equation is y=A*e^i√(k)x+Be^-i√(k)*x.
Now, we need to find the particular solution to the non-homogeneous equation. We can use the method of undetermined coefficients to find the particular solution. We will let yp=a0+a1x+a2x^2+.... As the derivative of a sum of functions is the sum of the derivatives, we get
yp″=a1+2a2x....yp‴=2a2+3a3x+....
Substituting the general solution into the non-homogeneous equation, we get
a0+a1x+a2x^2+...+2a2x+3a3x^2+...=Y(4)
So, the coefficient of each term in the expansion of the left hand side should equal the coefficient of each term in the expansion of the right hand side. Since there is only one term on the right hand side, we get the recurrence relation:
a(n+1)=Y(n-2)/n^2
From this relation, we can find all the coefficients in the expansion for the particular solution. Using this particular solution, we can find the total solution to the differential equation as the sum of the homogeneous solution and the particular solution.
11) 54% of 35 is what?
Answer:
18.36
Step-by-step explanation:
g00gle says so
Answer:
18.9
I hope this helps!
A Super Bounce Ball is dropped from a height of 64 ft. With each bounce, the ball reaches a height that is three-fourths the height of the previous bounce. After how many bounces will the ball bounce up to a height less than 9 in.?
PLEASE HURRY
To solve this problem, we need to convert all the measurements to a consistent unit. Let's convert the height to inches since the height of the bounce is given in inches.
64 ft = 64 * 12 inches = 768 inches
Now, we can set up an equation to represent the height of each bounce. Let's use "b" to represent the number of bounces, and "h" to represent the height of each bounce in inches.
The height of each bounce is three-fourths (3/4) the height of the previous bounce. So, we can write the equation as:
h = (3/4) * h_previous
where h_previous is the height of the previous bounce.
We know that the initial height of the ball is 768 inches, and we want to find the number of bounces when the height of the bounce is less than 9 inches. We can set up an inequality to represent this situation:
h < 9
Substituting the expression for h from the equation above, we get:
(3/4) * h_previous < 9
Now, we can start with the initial height of 768 inches and keep applying the equation for each bounce until the height of the bounce is less than 9 inches.
1st bounce:
h = (3/4) * 768 = 576 inches
2nd bounce:
h = (3/4) * 576 = 432 inches
3rd bounce:
h = (3/4) * 432 = 324 inches
4th bounce:
h = (3/4) * 324 = 243 inches
5th bounce:
h = (3/4) * 243 = 182.25 inches
6th bounce:
h = (3/4) * 182.25 = 136.6875 inches
7th bounce:
h = (3/4) * 136.6875 = 102.515625 inches
8th bounce:
h = (3/4) * 102.515625 = 76.88671875 inches
9th bounce:
h = (3/4) * 76.88671875 = 57.6650390625 inches
10th bounce:
h = (3/4) * 57.6650390625 = 43.248779296875 inches
So, the ball will bounce up to a height less than 9 inches after 10 bounces.
2
Given the function below, which of the
following values will result in f(x)=1/2x+8
A. f(-2)
B. S(-4)
C. (4)
D. f(13)
After 5.5 hours, Allie had traveled 264 miles. If she travels at a constant speed, how far will she have traveled in 6 hours?
Answer:
288 Miles
Step-by-step explanation:
Solve for x (speed)
5.5x = 264
Divide by 5.5
x = 48
y = 48x
Subsitute 6 hours in for x
y = 48(6)
y = 288
Answer: Allie went 288 miles in 6 hours.
Step-by-step explanation:
First, you must find out how many miles Allie travled in one hour
= 264/5.5
= 48
Next, multiply the quotient by the number of hours to get the answer.
= 48 x 6
= 288
Immediate assistance needed, please
The jumper is in free fall for 7.07 s if the parachute is opens at 1000 ft
The jumper is in free fall for 7.29 s if the parachute is opens at 950 ft
The reasonable domain for the function h is
0 ≤ t ≤ 10
The reasonable range for the function h is
0 ≤ h ≤ 1800
How to find the time of free fallThe duration of free fall is calculated using the given function
h = -16t² + 1800
the parachute is opens at 1000 ft
h = -16t² + 1800
1000 = -16t² + 1800
16t² = 1800 - 1000
16t² = 800
t² = 800 / 16
t² = 50
t = √50
t = 7.07 s
the time at this situation is 7.07s
the parachute is opens at 950 ft
h = -16t² + 1800
950 = -16t² + 1800
16t² = 1800 - 950
16t² = 850
t² = 850 / 16
t² = 53.125
t = √53.125
t = 7.2887 s
the time at this situation is 7.29s
reasonable domain
minimum t = 0
for maximum t, h = -16t² + 1800 = 0
16t² = 1800
t = 10.61
0 ≤ t ≤ 10
the reasonable domain is 0 ≤ t ≤ 10
reasonable range
h = -16t² + 1800
at t = 0, h = 1800
at t = 10.606, h = 0
0 ≤ h ≤ 1800
the reasonable range is 0 ≤ h ≤ 1800
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14. A square has a perimeter of 36 units. One vertex of the square is located at (3,5) on the coordinate grid, What could be the x- and y-coordinates of another vertex of the square?
Answer:
For a square of side length L, the perimeter is:
P = 4*L
Then if the perimeter of our square is 36 units, we have:
36 units = 4*L
(36 units)/4 = L = 9 units.
Now we know that one vertex of the square is located at (3, 5)
Then another vertex of the square can be at:
A distance of 9 units of this point (such that these vertices are connected by one side of the square)
Some examples can be:
(3 + 9, 5) = (12, 5)
or
(3, 5 + 9) = (3, 14)
These are the simpler options, there are a lot of other possible points that can be another vertes (we can have a circle of radius 9 units centered in the point (3, 5), all these points can be another vertex of the square).
We also can have a vertex that is connected by the diagonal, this point can be:
(3 + 9, 5 + 9) = (12, 14)
or
(3 - 9, 5 - 9) = (-6, -4)
Again, there are a lot of other possible points that can be this vertex (A circle of radius √2*9 units centered in the point (3, 5)).
Triangle ABC was dilated using the rule DO,4. Triangle A'B'C' is the result of the dilation. Point O is the center of dilation. Triangle A B C is dilated to create triangle A prime B prime C prime. The length of O B is three-fourths. What is OB'? 1.5 units 3 units 4.5 units 6 units
If the length of OB was ³/₄, then the length of OB' after dilation is; Option B: 3 units.
Dilation of an object simply means enlarging or shrinking of the object by a scale factor.Now, we are told that Triangle ABC was dilated to Triangle A'B'C' using the rule D₀,₄.What this means is that it was enlarged by a scale factor of 4 with point O as the center of dilation.
Now, if the length of OB is 3/4, it means that the new dilated length is gotten from;Scale factor = new dilated length OB'/(³/₄)
new dilated length OB' = ³/₄ × 4
new dilated length OB' = 3 units
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Answer:
its 4 units trust just answered it
Step-by-step explanation:
Q1) (a) (i) Write x²+8x-9 in the form (x+k)² +h.
PLEASE ANSWER QUICKLY!!!!!
Answer:
(x+4)^2 -25
Step-by-step explanation:
x²+8x-9 in the form (x+k)² +h.
We need to complete the square.
x^2 +8x -9
Take the coefficient of x.
8
Divide by 2.
8/2 =4
Square it.
4^2 = 16
Add this then subtract i.
x^2 +8x+16 -16 -9
The x^2 +8x+16 becomes (x+4) ^2 and we can simplify the remaining terms.
(x+4)^2 -25
1. What is the difference between Salary and Wage?
2. $15 per hour is the basic rate at a factory. After a 48-hour basic work week,
overtime is paid time and a half.
a. If no one worked overtime and the factory paid $15840 in wages one week
how many workers are in the factory?
b. During another week, a worker in the factory earns $810 in wages for
himself. How many hours did he work for?
Hi
Answer:
answer yourself
Step-by-step explanation:
You work independently as a copier salesperson. Last month, you sold 26 printers at a cost of $1,750 each. The cost of goods sold for each printer is $975. Additional operating expenses include your salary ($3,000/month), advertising ($50/month), and office lease ($550/month). Use this information to calculate (a) your gross profit and (b) your net income.
To calculate the gross profit, we need to subtract the cost of goods sold (COGS) from the revenue generated by sales. The revenue generated by sales can be found by multiplying the number of printers sold by the selling price of each printer, which is $1,750.
Revenue generated by sales = 26 x $1,750 = $45,500
The cost of goods sold for each printer is $975, so the total cost of goods sold for all 26 printers is:
Total cost of goods sold = 26 x $975 = $25,350
Therefore, the gross profit can be calculated as:
Gross profit = Revenue generated by sales - Total cost of goods sold
Gross profit = $45,500 - $25,350
Gross profit = $20,150
The gross profit is $20,150.
To calculate the net income, we need to subtract all operating expenses from the gross profit. The operating expenses include your salary ($3,000/month), advertising ($50/month), and office lease ($550/month).
Total operating expenses = $3,000 + $50 + $550
Total operating expenses = $3,600
Therefore, the net income can be calculated as:
Net income = Gross profit - Total operating expenses
Net income = $20,150 - $3,600
Net income = $16,550
The net income is $16,550.
In summary, the gross profit is the revenue generated by sales minus the cost of goods sold, which in this case is $20,150. The net income is the gross profit minus all operating expenses, which in this case is $16,550.
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Please help! I need the answer quick. The picture attached ^
Answer:
\(6p+4q=r\\\\4q = r-6p\)
\(q = \frac{r}{4} -\frac{6}{4}p \\\\q = \frac{r}{4} -\frac{3}{2}p\)