Answer:
(6, -4)
Explanation
Note that when rotating an image 90° clockwise, the coordinate (x, y) will be (y, -x)
Given the coordinate (4, -6) when roatated 90° clockwise, the resulting coordinate will be at (-6, -4)
Reflecting (x, y) over the y-axis will result in the coordinate (-x, y)
Reflecting (-6, -4) over y axis will give (-(-6), -4) = (6. -4)
Hence the required coordinate will be (6, -4)
George is putting trim around his rectangular deck, including the gate. He will need 40 feet of trim to do the entire deck. if the deck is 12 feet long, how wide is the deck
The width of the deck given that the entire deck needs 40 feet to trim is 8 feet
How to determine how wide the deck isLet's assume the width of the rectangular deck is "w".
The perimeter of the deck can be calculated by using the formula: P = 2(l + w), where P is the perimeter, l is the length, and w is the width.
Here, the length of the deck is given as 12 feet.
So, P = 2(12 + w)
We also know that the total trim required is 40 feet.
So, P = 40 feet
Equating both the expressions for P, we get:
2(12 + w) = 40
Simplifying the equation, we get:
24 + 2w = 40
2w = 16
w = 8
Therefore, the width of the deck is 8 feet.
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Please help I am giving brainliest!
Answer:
6.3 in.^2
Step-by-step explanation:
The diameter of the circle is 4 in., so the radius of the circle is 2 in.
\( A_{sector} = \dfrac{n}{360^\circ} \pi r^2 \)
The two central angles have a total measure of 60 deg + 110 deg = 170 deg.
The central angle of the shaded sector is 360 deg - 170 deg = 190 deg.
We will use n = 190 deg in the area formula.
\( A_{sector} = \dfrac{190^\circ}{360^\circ} \pi (2~in.)^2 \)
\( A_{sector} = 6.3~in.^2 \)
What is 20% tip on a bill of 59.61
Answer:
about $12
Step-by-step explanation:
59.61(0.20)=11.922
11.922 rounded up is 12.
ur total bill would be $71.61
Tom gets 12$ off box chocolates that had an original price of 48$ what percentage is the discount
Answer: 25%.
Step-by-step explanation:
According to the problem it states that the original price is 48 dollars which is 100% cost. We know that 12 is 1/4 of 48 so 1/4 of 100% gives 25%.
A ball is dropped from a balcony 31 feet above the ground. What is the height above the ground at 1.3 seconds?
3.96 ft
Step-by-step explanation:
An freely-falling object dropped from a certain height travels a distance equal to
h = -16t^2
where t is the time elapsed. So after 1.3 s, the ball has traveled
h = -16(1.3)^2 = -27.04 ft
This means that after 1.3 s, the ball is 31 - 27.04 = 3.96 ft above the ground
Find the sum of the three expressions and choose the correct answer. -2u3v + 5uv - 1 7u3v - 2u2v2 5u2v2 - uv + 6 A)5 u^3v + 3 u^2v^2 + 4 uv + 5 B)5 u^3v - 3 u^2v^2 + 4 uv - 5 C)-5 u^3v - 3 u^2v^2 + 4 uv + 7
Answer:
5u^3 v+ 3u^2v^2+ 4uv+ 5
Example 1: Every Number Has an Opposite
Locate the number 8 and its opposite on the number line. Explain how they are related to zero.
-8-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
Exercises 2-3
2. Locate and label the opposites of the numbers on the number line.
9
-2
4
a.
b.
C.
8
Answer:
To locate the number 8 and its opposite on the number line, we can use the given number line:
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
Number 8 is located to the right of zero. Its opposite can be found by moving an equal distance to the left of zero. Since the number line is symmetric about zero, the opposite of 8 would be -8.
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
↑ ↑
So, the opposite of 8 is -8. They are related to zero as equal distances on opposite sides of zero on the number line.
Now, let's address exercises 2-3:
a. To locate the opposite of 9, we need to move an equal distance to the left of zero. The opposite of 9 is -9.
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
↑
b. To locate the opposite of -2, we need to move an equal distance to the right of zero. The opposite of -2 is 2.
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
↑
c. To locate the opposite of 4, we need to move an equal distance to the left of zero. The opposite of 4 is -4.
-8 -7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
↑
So, the opposites of the given numbers are:
9 → -9
-2 → 2
4 → -4
They are related to zero as equal distances on opposite sides of zero on the number line.
Step-by-step explanation:
pls help meee given this number line, AB= ? image attached below
Answer:
AB = 3
Step-by-step explanation:
the way i solved it was 7 - 4 = 3
26.) A line has a slope of .What is the slope of any line parallel to this line?F-!GH
Given data:
The given slope of the line is m=3/7.
The slope of the line parallel to the given line is,
m'=m
m'=3/7
Thus, option H) is correct.
I totally need helppppppppp. Oh no im gonna faillllllll.
10 + 9
PLs send help
(I'll give brainliest if you answer right
Answer:
19 will be the answer.
Step-by-step explanation:
10+9=19
Answer:
19
Step-by-step explanation:
can i get brainiest
Lana has 4 bags with the same amount of marbles in them, totaling 14 marbles. Markus has 4 bags with the same amount of marbles in them, totaling 20 marbles. How many more marbles does Markus have in each bag?
Answer:
Lana: 4 / 14 = 3.5
Markus: 4 / 20 = 5
I'm not completely sure how they can have the same amount of marbles for both of them but... Markus does have 2.5 more than Lana in each bag.
Hope this helps <3
Step-by-step explanation:
Let's call the number of marbles in each bag "x". We can set up two equations based on the given information:
4x = 14 (for Lana)
4x = 20 (for Markus)
Solving for x in each equation, we get:
x = 14/4 = 3.5 (for Lana)
x = 20/4 = 5 (for Markus)
So Markus has 5 marbles in each bag, which is 1.5 more marbles per bag than Lana.
n an element’s square on the periodic table, the number with the greatest numerical value represents the
When a number * is divided by 22, the quotient is 74 and the remainder is 0. What will be the quotient when * is divided by 11?
Answer:
The quotient will be 2 this is the answer
Answer:
148
Step-by-step explanation:
Let the required number be x.
Since,
Dividend = Divisor*Quotient + Remainder
So,
x = 22*74 + 0
x = 1628
Thus, the required number is 1628
Now, let us divide 1628 by 11
\(1628 \div 11 = 148\)
Hence, the quotient will be 148.
hey guys I could really use some help on this.
Answer:
y = - \(\frac{10}{3}\) x - 23
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (- 9, 7 ) and (x₂, y₂ ) = (- 6, - 3 )
m = \(\frac{-3-7}{-6-(-9)}\) = \(\frac{-10}{-6+9}\) = \(\frac{-10}{3}\) = - \(\frac{10}{3}\) , then
y = - \(\frac{10}{3}\) x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 6, - 3 ) , then
- 3 = 20 + c ⇒ c = - 3 - 20 = - 23
y = - \(\frac{10}{3}\) x - 23 ← equation of line
Answer:
y= -10x/3 + 1
Step-by-step explanation:
gradient of a line= (Y2-Y1)/(X2-X1)
= (-3-7)/[-6-(-9)]
=-10/3
equation of a line
(Y-Y1)/(X-X1)= gradient
(Y-7)/(X+9)= -10/3
3(Y-7)= -1d0(X+9)
3y-21= -10x -19
3y= -10x + 3
dividing both sides by 3
y= -10x/3 + 1
What is the place value of 1 of 574.8931.
Do Babies Understand Probability? Can babies reason probabilistically? A study1 investigates this by showing ten- to twelve-month-old infants two jars of lollipop shaped objects colored pink or black. Each infant first crawled or walked to whichever color they wanted, determining their "preferred" color. They were then given the choice between two jars that had the same number of preferred objects, but that differed in their p
Answer:
Step-by-step explanation:
Wow, that’s interesting!
Is this a question?
Denise drew 8 stars with crayons. Then she drew 6 more stars. Trina drew 5 stars . How many fewer stars did trina draw then Denise?
Answer:
9
Step-by-step explanation:
Denise's stars altogether:8+6=14
Trina's stars:5
Answer:14-5=9
she drew 9 fewer stars
HW HELP ASAP PLZZZZZ
Answer:
p = 15/x
x= -3
Step-by-step explanation:
For the first problem, we can expand the equation to 4px+4=64
then simplify it to:
4px=60
then divide 4x from both sides of the equation
p=60/4x
then simplify:
p=15/x
For the second problem:
plug in -5 for p so the equation would look like
4(-5x +1)=64
simplify
-20x=60
x= -3
Help help help help math math
Answer:
negative 14 x≥-×>-14Step-by-step explanation:
i know you didn't understand but it's correct :>
answer is:. -28 means ,negative >-28
Question 15 of 60
Choose the symbol that correctly compares the fractions below.
8 8
-?-
10 10
OA. None of these are correct.
OB. <
C. >
OD. =
SUBMIT
Answer:
D
Step-by-step explanation:
a length of 25 meters.cindy cut the string in 4 pieces of equal length.how was each piece
Answer:
6.25 meters
Step-by-step explanation:
25/4 = 6.25
Length of each cut piece is 6.25 m.
What is division?The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.
Given
A length of 25 meters cut the string in 4 pieces of equal length.
= \(\frac{25}{4}\)
= 6.25
Length of each cut piece is 6.25 m.
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which rectangle is spilt into 6 same sized squares ?
Answer:B
Step-by-step explanation:
A bowl contained 59.16 grams of salt. Then, Omar poured in another 13.2 grams. How much salt does the bowl contain now?
Answer: 72.36
Step-by-step explanation:
To find the total amount of salt in the bowl after Omar poured 13.2 grams, we need to add the initial amount of salt in the bowl to the amount of salt Omar added.
The initial amount of salt in the bowl was 59.16 grams.
Omar added 13.2 grams of salt to the bowl.
To find the total amount of salt in the bowl now, we add these two amounts: 59.16 + 13.2 = 72.36
Therefore, the bowl contains 72.36 grams of salt now.
The difference between your income and your total expenses is your
Jessica needs to rent a moving truck for one day. She can choose to rent a moving truck from Rentals Plus or from Speedy Move. At Rentals Plus, it costs $5.24 to rent a moving truck for one day, plus $4.46 per mile driven. At Speedy Move, it costs $85.24 to rent a moving truck for one day, plus $0.46 per mile driven. How many miles would Jessica have to drive for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move?
Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.
How find how many miles would Jessica have to driveLet's assume the number of miles driven is represented by 'm'. The cost of renting a moving truck for one day at Rentals Plus can be calculated using the equation:
Cost at Rentals Plus = $5.24 + $4.46 * m
Similarly, the cost of renting a moving truck for one day at Speedy Move can be calculated using the equation:
Cost at Speedy Move = $85.24 + $0.46 * m
To find the number of miles that makes the costs equal, we can set up the equation:
$5.24 + $4.46 * m = $85.24 + $0.46 * m
By rearranging the equation, we can solve for 'm':
$4.46 * m - $0.46 * m = $85.24 - $5.24
$4 * m = $80
m = $80 / $4
m = 20
Therefore, Jessica would have to drive 20 miles for the cost to rent a moving truck for one day to be the same at Rentals Plus and Speedy Move.
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Hadley's parents want to build a fence around her play area. The perimeter of the play area is 186 feet. The width is two times the length. Use the formula for the perimeter of a rectangle as one of your equations.
What is the length and width of the play area?
Length = ____ feet
Width = _____ feet
Answer:
839
Step-by-step explanation:
Just divide the number and then subtract
Every morning Jessica drinks one fifth of a quart of orange juice how many mornings would Jaze have oranges for if she only has a total of one and 4/5 quarts of orange juice
Answer:
9 more mornings Jessica can drink orange juice
Step-by-step explanation:
1 4/5 = 1/5x
9/5 = 1/5 (divided below)
1/5 1/5
9/5 divided 1/5 = x
x = 9/5 x 5/1 = 45/5
45/5 divide by 5 = 9/1
long division and you get 9
hope this helps!
Answer:
The answer is 9
Step-by-step explanation:
The volume of a cube is increasing at the rate 18cm^3/sec. how fast is an edge measuring 2 cm expanding ?
EXPLANATION
Given that the increasing rate is 18cm^3/s, we can apply the following realtionship:
\(dV/dt=18\)As the volume is equal to the multiplication of the sides and assuming that the edge is called "x" we have:
\(dV/dt=d(x^3)/dt\cdot d/dx\)Applying derivatives:
\(dV/dt=3x^2\frac{dx}{dt}=18\)Isolating dx/dt:
\(dx/dt=18/3x^2\)Therefore:
\(dV_{\text{ }}/dt=\frac{18}{3x^2}=\frac{6}{x^2}\)Now, if the measure of the edge is 2cm, we can plug this number into the velocity equation to obtain the speed:
\(\frac{dx}{dt}=\frac{6}{2^2}=\frac{6}{4}=\frac{3}{2}\frac{cm}{s}=\frac{1.5\operatorname{cm}}{s}\)Hence, the speed is 1.5 cm/s
Triangle AABC is rotated -120° about point
P to create AA'B'C'.
A'
105°
C'
B'
C
What is the measure of LA'?
40°
A
B
The measure of the angle ∠A obtained from the congruency between the triangles ΔABC and ΔA'B'C', (formed by the rotation of ΔABC, which is a rigid transformation) is 40°
What is a rotation transformation?A rotation transformation is a rigid transformation of a pre-image by turning the pre-image about a fixed point or axis.
A rotation transformation is a rigid transformation and therefore, the distances between corresponding pairs of points is maintained such that the lengths of the corresponding sides of the pre-image and the image are congruent, therefore, the triangle ΔABC and the triangle ΔA'B'C' are congruent.
The angle ∠A in triangle ΔABC = 40°
The angle ∠C' in triangle ΔA'B'C' = 105°
Angle ∠A ≅ Angle ∠A' by Corresponding Angles of Congruent Triangles are Congruent, CACTC.
Therefore, ∠A = ∠A' (definition of congruency)
∠A' = ∠A = 40° (symmetric property)
The measure of angle ∠A = 40°
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Player V and Player M have competed against each other many times. Historical data show that cach player is cqually likely to win the first set. If Player V wins the first set, the probability that she will win the second set is 0.60. If Player V loses the first set, the probability that she wi lose the second set is 0.70. If Player V wins exactly one of the first two sets, the probability that she will win the third set is 0.45 (b) What is the probability that Player V will win a match against Player M? (c) What is the probability that a match between Player V and Player M will consist of 3 sets given that Player V wins the match? (d) What is the expected number of sets played when Player V competes in a match with Player M?
The probability of given question and values will be
a) The probability that she will win the second set is 0.60.
b) Probability that Player V will win a match against Player M is 0.35.
c) The probability that a match between Player V and Player M will consist of 3 sets given that Player V wins the match is 0.16 .
d) Probability that player V competes in a match with Player M is 0.46.
It is given in the question :
Probability that player V wins the first set : 0.5
(this is because the text says the two players are equally likely to win the first set)
- Probability that player V wins the 2nd set if he has won the 1st set : 0.6
So, the probability that player V wins the first 2 sets is: (0.5)(0.6) = 0.3
Instead, the probability that player V loses the 2nd set if he has won he 1st set is 0.40 (=1-0.60), so
So, the probabiity that player V winse the 1st set but loses the 2nd set is 0.2.
- Probability that player V loses the 1st set: 0.5
- Probability that she will lose the 2nd set in is case is 0.70, it means that the probability that she will win the 2nd set if she lost the 1st set is 0.30, So, the probability that she will lose the 1st set and win the 2nd set is:0.15.
This means that the probability that player V wins exactly 1 set out of the first two sets is: 0.2+0.15 = 0.35
At this point, the probability that she will win the 3rd set is 0.45
This means that the overall probability that she will win the 3rd set if she won exactly 1 of the first 2 sets is: (0.35)(0.45) = 0.16
So, the overall probability that player V will win a match against player M is : 0.30+0.16 = 0.46.
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