What is the image of (9,0) after a dilation by a scale factor of 2 centered at the origin?
Answer:
(-18,0)
Step-by-step explanation:
Dilation involves changing the size of a point.
The image of (9,0) after a dilation by a scale factor of 2 centered at the origin is (18,0)
The point (P) is given as:
[tex]P = (9,0)[/tex]
The scale factor (k) is given as:
[tex]k = 2[/tex]
The image after a dilation centered at the origin is the product of the coordinates of the point and the scale factor.
So, we have:
[tex]P' = P \times k[/tex]
This gives
[tex]P' = (9,0) \times 2[/tex]
Expand
[tex]P' = (9\times 2,0\times 2)[/tex]
Evaluate the products
[tex]P' = (18,0)[/tex]
Hence, the image of (9,0) is (18,0)
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Which statement describes how the graph of a function h(x) and its inverse h^-1(x) are related
Answer:
B
Step-by-step explanation:
did test got it right
Answer:
pretty sure its B
Step-by-step explanation:
Dinner costs $30 and you
want to leave a 14% tip.
How much money should
you leave as a tip?
Answer:How much tip do you leave for $30?
Tip on $30
Subtotal 30.00
15% Tip 4.50
Total 34.50
Step-by-step explanation:
|x + 5| – |2w| When x = 2 and w = –4
Answer:
-1
Step-by-step explanation:
lx+5l -- l2wl
l2+5l -- l2x-4l
7 -- l2x-4l
7 -- 8
-1
8 to the power of 8 = ?. (BOOT) To the power of three = 27 WHAT IS THE BOOTS VALUE?
WILL GIVE FIVE STAR ANSWER!!!!!!!!!!!!!!!!!!
Answer:
8 to the power of 8 is 16777216. 3 to the power of 3 is 27. 3 is the boots value. i think.
Step-by-step explanation:
The sum of twice a number and 7 is -19
Answer:
The number will be -13
Step-by-step explanation:
Let the no. be x
Its twice will be = 2x
According to the question ,
[tex]2x + 7 = -19\\=> 2x = -19 - 7 = -26\\=> x = \frac{- 26}{2} = - 13[/tex]
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.
The value of the number is -13.
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,
The sum of twice a number and 7 is -19.
Let the number be M.
Now,
2M + 7 = -19
We will solve for M.
2M + 7 = -19
Subtract 7 on both sides.
2M + 7 - 7 = - 19 - 7
2M = -19 - 7
2M = -26
Divide both sides by 2.
M = -26/2
M = -13
We can cross-check.
2M + 7 = -19
2 (-13) + 7 = -19
-26 + 7 = -19
-19 = -19
Proved
Thus.,
The value of the number is -13.
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The data set gives the number of bottles filled by each of the workers in a bottling plant in one day. {36, 18, 16, 28, 68, 35, 37, 66, 38, 40, 41, 44, 72, 29}
Answer:
The best measure of center is median = 37.50.
Step-by-step explanation:
The complete question is:
The data set gives the number of bottles filled by each of the workers in a bottling plant in one day.
{36, 18, 16, 28, 68, 35, 37, 66, 38, 40, 41, 44, 72, 29}
The best measure of center for this data set is the , and its value expressed up to one decimal place is?
Solution:
The three measures of center are:
MeanMedianModeThe mean is the average value of the data set and uses all the values of the data set.
The median is the middle value of the data set.
Mode is the value of the data st with the highest frequency or number of occurrence.
Compute the mean, median and mode of the data set provided as follows:
[tex]\text{Mean}=\frac{1}{n}\sum X=\frac{1}{14}\times [36+18+....+72+29]=40.57[/tex]
So, the mean is 40.57.
The data set in ascending order is:
{16 , 18 , 28 , 29 , 35 , 36 , 37 , 38 , 40 , 41 , 44 , 66 , 68 , 72}
There are 14 values in the data set. That is an even data set.
The median for an even data set is the average of the middle two values.
The middle two values are: 37 , 38
Average of {37 , 38} = [tex]\frac{37+38}{2}=37.50[/tex]
So, the median is 37.50.
None of the values are repeating itself. Thus, the data does not have a mode.
For the provided data:
Mean > Median
Implying that the data set is right-skewed.
For a skewed distribution or data set the median is the measure of center.
Thus, the best measure of center is median = 37.50.
The two box plots summarize the number of hours spent in the weight room for all the players on the football team
for two different high schools. Which of the statements must be true about the distribution of data represented in the
boxplats?
Answer:
B. C. D are true, A. is false
Step-by-step explanation:
The question is attached
=======================
Answer options:
A. Players at school 1 typically spent more time in the weight room than players at school 2
False, as per plot boxes up to 75% of players from school 1 spend up to 10 hours but up to 75% of players from school 2 spend up to 12 hours in the weight roomB. The middle half of the data for school 1 has more variability than the middle half of the data for school 2
True. 4 hours variation for school 1 vs 3 hours variation for school 2C. The median hours spent in the weight room for school 1 is less than the median for school 2 and the interquartile ranges for both schools are equal
True as it is 8 hours for school 1 and 9 hours for school 2D. The total number of hours spent in the weight room for players at school 2 is greater than the total number of hours for players at school 1
True. Taking into account a sum of 5 numbers of the plot box. For School 1 it is: (3+4+8+10+16)= 41 and for school 2 it is: (3+6+9+12+14) = 44. Totals will have similar ratio.Which of the following best represents the average rate at which a person can quickly walk? (2 points)
Oa
3 steps per hour
3 steps per second
.
30 steps per minute
30 steps per second
Solve 5 vx - 6 = -20
O x= -10
O x = 10
O x = 22
No solution
Answer:
It is a hyperbole.
Step-by-step explanation:
5 v x - 6 = -20
v x = -14/5
v≠0 , x = -14/(5 v)
v = -14/(5 x)
Tracey paid $155 for an item that was originally priced at $520. What percent of the original price did Tracey pay? Around to the nearest tenth of a percent
Tracey paid approximately 29.8% of the original price for the item.
To find the percentage of the original price that Tracey paid, we can use the formula:
Percentage = (Amount Paid / Original Price) * 100
Let's plug in the given values:
Percentage = (155 / 520) * 100
Percentage = 0.2980769230769231 * 100
Percentage ≈ 29.8%
So, Tracey paid approximately 29.8% of the original price for the item.
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which phrase describes an unknown or changeable quantity
Henry is saving money for college. He earns $210 each week working part time after school and the weekends. Henry currently has $2,240 in savings. His parents put $100 in his savings account each week and he saves one-third of his paycheck each week. Which expression represents the situation? (n represents the number of weeks) A) 2,240 + 170n B) 2,240 + 310n C) 2,240 + 210n + 100n/ 3 D) 2,240 + 210n + 100n/ 3
Answer:
2,240 + 210n + 100n/ 3 (C).
Step-by-step explanation:
What he has in his account ($2,240) is added to what he makes each week ($210) multiplied by number of weeks (n), then added to the money his parents give him every week ($100) multiplied by the number of weeks (n) divided by one-third (⅓) of the money he saves from it.
two numbers are in the ratio 5:3.if they deffer by 18,what are the numbers?
Answer:
let common ratio between them be x
So, 5x,3x
5x-3x=18
2x=18
2x/2=18/2
x=9
Step-by-step explanation:
I hope it helps you☺️
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What is the value of the expression (9x3)+7
Answer:
34
Step-by-step explanation:
(9x3)+7
PEMDAS says parentheses first
27+7
34
A non-profit organization is having a couple’s fundraiser. The banquet hall will only hold 250 people. The President, Vice-president, two volunteers, and a guess speaker will be working the event. How many couples will be able to attend the banquet? (Pls help me solve the equation)
You have $16 and a coupon for a $5 discount at a local
supermarket. A bag of chips costs $2.50. How many
bags of chips can you buy?
Help...The sum of three consecutive integers is -33. Find the middle integer.
-9(x - 3)
(Distributive property)
Answer:
-9x+27
Step-by-step explanation:
The altitude of an airplane is represented in the graph below. A graph with time (minutes) on the x-axis and altitude (feet) on the y-axis. Points are at (0, 0), (20, 12,000), (40, 24,000), (60, 36,000), (80, 36,000), (100, 36,000), (120, 36,000), (130, 36,000), (140, 24,000), (160, 12,000), and (180, 0). Is the airplane’s altitude a function of time? Yes, because any input of time results in only one output of altitude. Yes, because the airplane increases and decreases in altitude at the same rate. No, because each output of altitude has more than one input of time. No, because the altitude is constant between 60 minutes and 130 minutes.
Answer:
A
Step-by-step explanation:
Answer:
A.) yes
Step-by-step explanation:
The sum of one-half and two-thirds, divided by five.
Answer:
7/35
Step-by-step explanation:
Answer:
0.23333333333333
Step-by-step explanation:
Please help me with this
Please help me on this one fassttt
Answer:
Step-by-step explanation:
1st, 3rd and 4th are the choices
solve when x=3
36x-6+7x•2x
Answer:
228
Step-by-step explanation:
We just have to plug in x. So:
36(3)-6+7(3)*2(3)
Simplify:
108-6+21*6
108-6+126
102+126
228
Answer:
228
Step-by-step explanation:
Insert the given value of x into the expression:
[tex]36(3)-6+7(3)*2(3)[/tex]
Simplify the multiplication:
[tex]108-6+21*6[/tex]
Follow the order of operations using PEMDAS:
[tex]108-6+126\\\\102+126\\\\228[/tex]
:Done
Parentheses ()
Exponents [tex]a^x[/tex]
Multiplication and Division left to right × ÷
Addition and Subtraction left to right + -
Substitute and evaluate: x = 8, y = 6, m = 3, p = -1 , n = 1
4x – 2m6. 5y + 8p
Answer:
-4,22
Step-by-step explanation:
x = 8, y = 6, m = 3, p = -1 , n = 1
4x – 2m6. 5y + 8p
4 x 8 - 2 x 3 x 6
32- 2 x 3 x 6
32-36
-4
5 x 6 + 8 x -1
30 + 8 x (-1)
30-8
22
Calculate f(4) for each function below.
Answer:
f (4) = 3(4) - 12
Step-by-step explanation:
if x = 4 just substitute the x for the 4 .
f(x) = 3x - 12
f(4) = 3 (4) - 12
f(4) = 12 - 12
and that cancels itself out.
The formula for percentage increase I (given as a decimal) of an investment is I=S−P/P, where P is the purchase price and S is the sale price. You sell a stock at a price of $75, earning a percentage increase of 25%. What was the purchase price of the stock? Also solve the formula for P pls show steps
We are given the formula in the questions, so all we need to do is solve.
0.25 = 75-p/p
0.25 = 75 - p
0.25p + p = 75
1.25p = 75
1.25p/1.25 = 75/1.25
p = 60
Therefore, the purchase price was $60.
Best of Luck!
5. Ethan runs 5 miles in 1/2 of the hour. How many miles will he run in 1 hour? *
(10 points)
A. 20 miles per hour
B. 4 miles per hour
C. 10 miles per hour
D. 8 miles per hour
HELP PLEASE
Answer:
C
Step-by-step explanation:
Because you times 5 by 2 to get 10 as the answer.
simplify 3x-7y-(-2X)-y
Answer:
5x+6y
Step-by-step explanation:
just add like terms