Answer:(1,2)
Step-by-step explanation:
The image of point P = (2, -1) is (1, 2)
What is rotation?"It is a transformation in which the object is rotated about a fixed point.""An object can be turned clockwise or counterclockwise on the coordinate plane"For given question,
We have been given a point P = (2, -1)
We know that if point (x, y) is rotated 90 degrees counterclockwise about the origin then the coordinates of image is (-y, x)
So, when point P is rotated 90 degrees counterclockwise about the origin then the coordinates of the image would be (-(-1), 2) = (1, 2)
Therefore, the image of point P is (1, 2)
Learn more about the rotation transformation here:
https://brainly.com/question/12865301
#SPJ2
Work out the area of this circle. Take pi to be 3.142 and give your answer to 1 decimal place radius is 4cm
The fourth term of an exponential sequence is 108 and the ratio is 3 . Calculate the value of the eighth term of the sequence, calculate the sum of the first five terms of the sequence.
Answer:
8th term = 8748 , Sum of 5 terms = 484
Step-by-step explanation:
Formula for nth term in an exponential sequence = a r^ (n-1)
Here : n = 4 , ratio r = 3 ; And nth ie 4th number = 108
So, a r^ (n-1) = nth item implies that → a 3 ^ (4-1) = 108
a 3^3 = 108 → 27 a = 108 → a = 108 / 27 → a = 4
8th term = a r^ (n-1) , at n = 8. So, = 4 3^(8-1) = 4 3^7 = 4 x 2187 = 8748
Sum of n terms = a [(r^n) -1 ] / [r - 1] → Sum 5 terms = 4 [ (3^5)- 1] / [3 - 1]
= 4 [ (243) - 1] / 2 ] = 2 x 242 = 484
Sariya and Kate went to lunch and their total bill was $36.96. If they
left a 20% tip. How much would their total bill be?
Answer:
$ 44.352
Step-by-step explanation:
The bill of both of them was $36.96. And they gave a tip of 20%. So , the total amount paid will be ,
=> Amount = Bill + 20% of Bill
=> Amount = $36.96 + 20% of $ 36.96
=> Amount = $36.96 + 1/5 * $36.96
=> Amount = $36.96 + $7.392
=> Amount = $ 44.352
Hence the amount paid by them is $44.352.Answer:
$44.352
Step-by-step explanation:
Their bill = $36.96
Tip = 20% of $36.96
= 20/100 × 36.96
= $7.392
Hence, their total bill = $36.96 + $7.392
= $44.352
1.) The price of gasoline went from $3.60 to $2.70 per gallon. What was the percentage decrease in the price of gasoline per gallon?
A.) 20% decrease
B.) 22.5% decrease
C.) 25% decrease
D.) 33.33% decrease
E.) None of these choices are correct.
Answer:
Choice C
Step-by-step explanation:
3.60 - (3.60/2.70) = 25%
Which function is the inverse of F(x) = b^x?
HELP FAST
Answer:I also think answer is 3
Step-by-step explanation:
A butcher purchases 50 chicks at the rate of Ts.60 per chick.10 of them died and he sold remaining chicks at the rate of Rs.80 per chick. Find profit or loss percentage.
Answer: 6.25%
Step-by-step explanation:
50 chicks were purchased at Rs. 60. The total cost of the chicks is:
= 50 * 60
= Rs. 3,000
10 of the chicks died which means the farmer was left with 40 chicks.
These chicks are sold at Rs. 80. Total revenue from the sales are:
= 40 chicks * 80
= Rs. 3,200
The profit is:
= 3,200 - 3,000
= Rs. 200
The percentage is:
= Profit / Revenue
= 200 / 3,200
= 6.25%
If Mr. Donahue bought 10 cookies for $8.00. At this rate, how much
would it cost for 25 cookies?
Answer:
The answer is $20.
Step-by-step explanation:
The way we find how much each cookie is is by dividing 8 by 10. We get 0.8. So now we know each cookie costs 80 cents. So, for 25 cookies, all we need to do is multiply 25 and 0.8. When multiplied, you get the answer $20.
hey what's the answer !!
[tex] \sqrt{98 - ( 17)} [/tex]
(ﾉ≧∇≦)ﾉ
Answer:
√98-17
=√ 81
=√ (9)^2
=9 is ans
Answer:
[tex] \sqrt{98 - ( 17)} [/tex]
[tex] {\sqrt{81}} [/tex]
[tex] {\sqrt{9²}} [/tex]=±9
is your answer
The only time the word 'incorrectly' isn't spelled incorrectly is when it's spelled incorrectly. (⊙_ ⊙)
ahaha good one
Step-by-step explanation:
...........
On a scale drawing a building measures 4.5 cm tall is the scale of the drawing is 25 m per2 cm how tall is the actual building
Answer:
Actual height of the building [tex]=112.5[/tex] meters
Step-by-step explanation:
Given
Scale of the drawing
1 cm = 25 meters
This means that any 1 cm line on the map represents a length of 25 meters in actual.
The height of the building on map [tex]= 4.5[/tex] cm
Actual height of the building
[tex]= 4.5 * 25\\=112.5[/tex]meters
WILL MARK BRAINLIEST
Answer:
C
Step-by-step explanation:
50% = half and 5 out of 10 is also half, if you count how many samples it has it adds up to 7 so the answer is 7
Solve: 2x-4 = -(x-6)/2
Answer:
x = 14/5
Step-by-step explanation:
2x-4= -x-6/2
multiply by 2 on both sides to get rid of the fraction
4x-8= -x-6
add both sides by 8 and both sides by x to get the constants on the right and the variables on the left
4x+x=6+8
combine like terms/simplify
5x=14
divide both sides by 5 to isolate the x
x=14/5
i hope this helps :)
What is the radius, Diameter, Area, and Circumference of a 12 feet circle? (No links or fake answers, actually give me a right answer)
Answer:
12ft, 6ft, 36πft², 12πft
Step-by-step explanation:
Diameter: the distance across the circle - so 12ft
Radius: half the diameter = 0.5(12) = 6ft
Area: πr² = π(6)² = 36π ft² (substitute in 22/7, 3.14, or the exact value of π as fit)
Circumference: 2πr = πd = 12πft
There are 8 roses in a vase of 14 flowers. The rest are daisies.
(a) What is the ratio of roses to daisies?
(b) What is the ratio of all flowers in the vase to daisies?
Answer:
a) 4:3
b) 7:3
Step-by-step explanation:
No. of roses= 8
No. of daisies = 6
Total no. of flowers = 14
a) Ratio of roses to daisies = No. of roses/No. of daisies
8/6
= 4/3
= 4:3
b) Ratio of all flowers to daisies = No. of all flowers/ No. of daisies
14/6
= 7/3
= 7:3
Morgan correctly answered 90% of the questions on her history test. She answered 36 questions correctly How many questions were on the test?
(A)33
(B)40
(C)48
(D) 126
Answer:
(B)40
Step-by-step explanation:
use the mark given and divide it by 90 percent take the answer given and multiply it by one hundred
Answer:
B) 40
Step-by-step explanation:
If 90% = 36
100% = ?
Cross Multiplying
100 x 36/ 90 = 40
which means there were 40 Questions on the test.
The owner of the stand pays $8 for each hat , $0.10 for each post card, and $0.50 for each magnet. Write and expression for the total cost of the items.
Answer:
Step-by-step explanation:
When multiplying fractions, you multiply straight across? Yes or No ?
Answer:
YES!
Step-by-step explanation:
You do multiply straight across for ex: 3/4 x 4/3= 12/12=1
For addition you don't but for multiplication you do!
88 is what percent of 121??
Answer:
72.73% is the answer.
Hope this helps!
Maddy takes the bus to school from her house. She rides the bus 12 kilometers east
then turns north and goes 5 more kilometers. If she'd go the shortest distance, how
many kilometers would she save?
(Hint: Draw it out)
Answer:
She would save 4 kilometers
Step-by-step explanation:
Use pythagorean theorem
12² + 5² = 169
[tex] \sqrt{169} = 13[/tex]
17-13 = 4
Factor the expression. 10y+15+25y
Answer:
25y+15
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
5(7y+3)
Step-by-step explanation:
HELP PLS PLS IM BEGGING
Answer:
to every 3 buckets with a shovel there is 4 buckets without a shovel
The surface area of a cube is 54 square inches.
What is the volume of the cube?
Find the area of each sector.
3)
1350
14 yd
251
A)
18051
12
yd?
B)
yd?
12
1471
C) 161 yd?
D)
yd?
2
‼️I WILL MARK BRAINLIEST‼️
A set of data is shown in the table below. Determine the values of the slope and the y-intercept, and complete the table helow
Simplify the expression by combining like terms: 6(4x) + 8(5y) - 21 + 63- 3(5x) - 12y + 18 - 7(3x)
please help like waaa everywhere it comes up that its impossible
Answer:
Step-by-step explanation:
If we subtract 7 from both sides, we get -2 on the right. This is not possible, since absolute values are always 0 or greater.
On a standardized exam, the scores are normally distributed with a mean of 250 and
a standard deviation of 50. Find the 2-score of a person who scored 375 on the exam.
Answer:
the z-score is within 3
Step-by-step explanation:
first you got to take the standard deviation and add it to the mean since 375 is greater than 250. so the equastion would be
250+50=300+50=350+50=40
so the z-score for the value of 375 is within 3
Answer: 2
Step-by-step explanation:
z=\frac{x-\mu}{\sigma}
z=
σ
x−μ
z-score formula
z=\frac{300-250}{25}
z=
25
300−250
Plug in values
z=\frac{50}{25}
z=
25
50
Subtract
z=2
z=2
Divide
\text{They scored 2 standard deviations above the mean.}
They scored 2 standard deviations above the mean.
Rewrite each expression: 2^4 x 2^6 x 2^2
Answer:
16 x 64 x 4
Step-by-step explanation:
2 x 2 x 2 x 2 = 16
2 x 2 x 2 x 2 x 2 x 2 = 64
2 x 2 = 4
Karen is adding a border to a rectangular poster. The border will have a uniform width of X inches and run along all four sides, so Karen uses the functions land wto model the length and width, in inches, of her poster after she adds the border. l(x) = 2x+ 18 W(x) = 2x+ 24 Which function correctly represents the total area, in square inches, of Karen's poster, when a border x inches wide is included in the area?
A. A(X) = 4x + 432
B. A(X) = 4x2 + +42x + 432
C. A(x) = 4x2 + +84x + 432
D. A(x) = 4x + 432
Answer:
B. A(x) = 4x² + 42x + 432Step-by-step explanation:
The area is the product of the width and the length:
A(x) = (2x + 18)(2x + 24) = 4x² + 42x + 432Correct choice is B
Ciana Thomas drove her car 11,500 miles last year. Her fixed costs totaled $1,214 and her variable costs totaled $2,450. What was her cost per mile?
Answer:
11502
Step-by-step explanation: