Answer:
T: 4 units right, 4 units up
Step-by-step explanation:
From x = -3 to x = 1, you need to add 4 to x, so the translation in x is 4 units right.
From y = 1 to y = 5, you need to add 4, so the translation in y is 4 units up.
T: 4 units right, 4 units up
The translation vector is (4, 4).
Vectorially speaking, a translation between two distinct point on cartesian plane is described by the following formula:
[tex]P'(x,y) = P(x,y) + T(x,y)[/tex] (1)
Where:
[tex]P(x,y)[/tex] - Original point.[tex]P'(x,y)[/tex] - Translated point.[tex]T(x,y)[/tex] - Translation vector.If we know that [tex]P(x,y) = (-3, 1)[/tex] and [tex]P'(x,y) = (1,5)[/tex], then the translation vector is:
[tex]T(x,y) = P'(x,y) - P(x,y)[/tex]
[tex]T(x,y) = (1,5) - (-3, 1)[/tex]
[tex]T(x,y) = (4,4)[/tex]
The translation vector is (4, 4).
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the actual length of wall c is 4 m . to represent wall c noah draw a segment 16cm long what scale is he using explain your reasoning
Answer:
1/25
Step-by-step explanation:
1 m = 100 cm
4m x 100 = 400 cm
If it is 16 cm long, then the scale factor is 16/400, which simplifies to 1/25.
The circumference of a circle is 6π in. What is the area, in square inches? Express your answer in terms of \piπ.
Step-by-step explanation:
Hey, there!!
According to the question,
There is given circumference = 6pi in.
or, 2.pi.r = 6pi.in
or, r = 6 pi.in/ 2
Therefore, the radius (r)= 3in.
now,
area = pi.r^2
a= pi× (3in)^2
Therefore, the area is 9.pi.in^2.
Hope it helps....
Answer:
A ≈ 2.86
Step-by-step explanation:
Using the formulas
A = πr²
C = 2πr
Solving for A
A = C²/ 4π = 6²/ 4·π ≈ 2.86479
50 POINTSS!! While preparing a roof, patty drops a screwdriver from a height of 80 feet. The function (h)t = -16t^2 + 80 gives the height of the screwdriver in the feet as feet after t seconds during its fall. Which of these is the graph of the function
Answer:
Graph D
Step-by-step explanation:
(h)t = -16t^2 + 80
At time t = 0 the screwdriver is at 0+80 =80 ft
As time increases the height will decrease so we can eliminate graph B
We know this is a downward parabola by the - in front of the t^2 so we can eliminate graph A
We need to find where it meets the x axis
0 = -16t^2 + 80
-80 = -16t^2
5 = t^2
t = sqrt(5)
t =2.23
This is Graph D
Las dos compañías cobran el mismo precio por viaje, cada viaje vale $100.00 pesos, los pobladores dicen que uno de los camiones tiene una capacidad de 3 toneladas y el otro de 4 toneladas, en total se hicieron 23 viajes y se transportaron 80 toneladas de tierra.
Challenge: For a particular job, the Amax Employment Agency charges a fee that is equal to 15% of the first
month's pay. If the job pays X dollars annually, express the agency fee algebraically.
Answer:
0.0125x or x/80
Step-by-step explanation:
Salary: x dollars per year
To find the pay per month, we divide the annual pay by 12.
The monthly pay is x/12
15% of the first month's salary is
15% of x/12 = 0.15 * x/12 = 0.0125x = x/80
Answer: 0.0125x
determine the image of the point p[-3,10) under the translation [5,-7]
[tex](-3+5,10-7)=(2,3)[/tex]
rearrange the equation so the r is the independent variable
Answer:
q = 3+1/2 r
Step-by-step explanation:
10q -5r = 30
Add 5r to each side
10q -5r+5r = 30+5r
10q = 30 +5r
Divide by 10
10q/10 = 30/10 +5r/10
q = 3+1/2 r
Which of the following is the place value of the underlined digit? 35.1789
A ten-thousandths B tenths
C thousandths D hundredths
Answer:
1 = tenths place
7= hundredths place
8= thousandths place
9= ten-thousandths place
Step-by-step explanation:
which of the following functions are an example of exponential growth ?
Answer:
i don't know maybe D. 2 and 3
Determine the quadrant(s) in which (x, y) could be located. (Select all that apply.)
x + y = 0, x = -0, y = 0
0 Quadrant I
Quadrant II
Quadrant III
Quadrant IV
none of these
Resolve 36x2 – 81y2 into factors
Answer:
(6x + 9y)(6x - 9y)
Step-by-step explanation:
We can use the difference of squares which states that a² - b² = (a + b)(a - b), in this case, a = 6x and b = 9y so the answer is (6x + 9y)(6x - 9y).
write the first ten multiples of 3 ,4 and find l.c.m with method
Answer:
Multiples of 3=3,6,9,12,15,18..
Multiples of 4=4,8,12,16,20..
The first common multiple will be 12
And the next common multiples will be multiples of 12
Hence, first four common multiples of 3,4 are 12,24,36,48
https://www.cuemath.com/numbers/lcm-of-3-and-4/
The amount of juice in a container is
normally distributed with a mean of
70 ounces and a standard deviation of
0.5 ounce. What is the probability that a
randomly selected container has more
than 70.5 ounces of juice?
Answer:
0.15866
Step-by-step explanation:
To solve for the above question, we use z score formula
z = (x - μ) / σ, where
x is the raw score
μ is the population mean
σ is the population standard deviation.
From the question,
x is the raw score = 70.5
μ is the population mean = 70
σ is the population standard deviation = 0.5
z = 70.5 - 70/ 0.5
z= 0.5/0.5
z = 1
We used the z score table to find the probability of z = 1
P( x = z) = P(x = 70.5)
= P( z = 1) = 0.84134
Hence, the probability that a randomly selected container has more than 70.5 ounces of juice is calculated as
P(x>70.5) = 1 - P(x =70.5)
P(x>70.5) = 1 - 0.84134 = 0.15866
Therefore, the probability that a randomly selected container has more than 70.5 ounces of juice is 0.15866.
Please answer question now
Answer:
90
Step-by-step explanation:
Tangents drawn to a circle from an external point are equal, thus
IH = IJ = 7
ON = OH = 19 - 7 = 12
MN = ML = 26 - 7 = 19
Summing the 4 sides for perimeter (P)
P = 26 + 19 + 7 + 7 + 12 + 19 = 90
what is the sum of the interior angles of a regular hexagon
Answer:
see below
Step-by-step explanation:
The sum of the interior angles of any polygon can be found with the formula 180(n - 2) where n = number of sides. In this case, n = 6 so the answer is 180(6 - 2) = 180 * 4 = 720°.
Answer:
The sum of the interior angles of a regular hexagon is 720°
Step-by-step explanation:
As we know that the sum of interior angle is 180(n-2). So the number of sides of hexagon is 6. Now, 180(6-2)=180*4=720°
Find the surface area of this cylinder.
Round to the nearest tenth.
p= 5 cm
5 cm
SA = [ ? ] cm?
Answer:
314.2
Step-by-step explanation:
2πr²+2πrh
= 2×π×5²+2×π×5×5
= 100π
= 314.2 cm²
Answer:
Does the answer help you?
Lilianna uses \dfrac{3}{4} 4 3 start fraction, 3, divided by, 4, end fraction calories per minute just by sitting. She uses 111 more calorie per minute by walking. Lilianna uses a total of 12\dfrac{1}{4}12 4 1 12, start fraction, 1, divided by, 4, end fraction calories walking to the park. Lilianna uses the equation, d\left(\dfrac{3}{4}+1\right)=12\dfrac{1}{4}d( 4 3 +1)=12 4 1 d, left parenthesis, start fraction, 3, divided by, 4, end fraction, plus, 1, right parenthesis, equals, 12, start fraction, 1, divided by, 4, end fraction to represent the situation. What does the variable ddd represent in the equation? Choose 1 answer: Choose 1 answer: (Choice A) A Calories per minute Lilianna uses walking (Choice B) B Number of calories Lilianna would have used sitting (Choice C) C Number of minutes Lilianna walked
The Variable d in the equation represents the time per minute Lilianna spends walking to the park
VariableCalories used by sitting = 3/4Calories used by walking = 1Total calories used walking to the park = 12 1/4The equation:
d(3/4 + 1) = 12 1/4
d(3+4/4) = 12 1/4
d(7/4) = 49/4
d = 49/4 ÷ 7/4
= 49/4 × 4/7
= 49/7
d = 7
Complete question:
Lilianna uses 3/4 calories per minute just by sitting. She uses 1 more calorie per minute by walking. Liliana uses a total of 12 1/4 calories walking to the park. Lilianna uses the equation, d(3/4+1)=12 1/4 to represent the situation. What does the variable d represent in the equation?
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I need help on this question please
Answer:
12 inches
Step-by-step explanation:
Volume of cone = (πr²h)/3
Volume of cone= 113.04 cubic inches
π = 3.14 r= 3 inches
113.04 = [(3.14)(3²)(h)]/3
113.04= 9.42h
h=12 inches
Find the simple interest on ₹ 4000 at 7.5 p.a. for 3 years 3 months. Also find the amount.
Step-by-step explanation:
it is simple you know
make 3 month into year by 3/12
then solve it using formula
2. Find the missing angle x.
155°
60°
X
Answer:
exterior angle property use ...
the exterior angle of an angle is equal to sum of rest 2 interior angles in a triangle
155 = 60 + x
x = 155 - 60 = 95
The missing angle x in the triangle is 95 degrees.
Here, we have,
from the given figure we get,
one angle of the triangle is: 180- 155 = 25 degrees.
To find the missing angle x in the triangle, we can use the fact that the sum of the angles in a triangle is always 180 degrees.
In this case, we are given two angles of the triangle: 25 degrees and 60 degrees.
Let's denote the missing angle as x.
To find x, we can subtract the sum of the given angles from 180 degrees:
x = 180° - (25° + 60°).
Simplifying the expression inside the parentheses:
x = 180° - 85°.
Subtracting:
x = 95°.
Therefore, the missing angle x in the triangle is 95 degrees.
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The height h (in feet) of an object t seconds after it is dropped can be modeled by the quadratic equationh = -16t2 + h0, where h0 is the initial height of the object. Suppose a small rock dislodges from a ledge that is 255 ft above a canyon floor. Solve the equation h = -16t2 + 255 for t, using the quadratic formula to determine the time it takes the rock to reach the canyon floor.
Answer:
The time it takes the rock to reach the canyon floor is approximately 4 seconds.
Step-by-step explanation:
The equation representing the height h (in feet) of an object t seconds after it is dropped is:
[tex]h=-16t^{2}+h_{0}[/tex]
Here, h₀ is the initial height of the object.
It is provided that a small rock dislodges from a ledge that is 255 ft above a canyon floor.
That is, h₀ = 255 ft.
So, when the rock to reaches the canyon floor the final height will be, h = 0.
Compute the time it takes the rock to reach the canyon floor as follows:
[tex]h=-16t^{2}+h_{0}[/tex]
[tex]0=-16t^{2}+255\\\\16t^{2}=255\\\\t^{2}=\frac{255}{16}\\\\t^{2}=15.9375\\\\t=\sqrt{15.9375}\\\\t=3.99218\\\\t\approx 4[/tex]
Thus, the time it takes the rock to reach the canyon floor is approximately 4 seconds.
Answer:
t=4
Step-by-step explanation:
ed2020
Evan is on holidays in Beijing, China. He took a taxi from the airport to his hotel. It cost him 375 Chinese yuan. He went $15 AUD over his travel budget on the taxi ride. How much Chinese yuan does Evan get for every Australian dollar if he budgeted $60 for the taxi ride?
This question is solved using proportions, and doing this, it is found that Evan gets 5 Chinese yuans for every Australian dollar.
-----------------------------------------
Evan budgeted $60 for the taxi ride.He went $15 over, thus, the taxi ride cost $75.In Chinese yuans, the cost was 375.-----------------------------------------
75 dollars are worth 375 yuans. How much yuans is a dollar worth?
1 dollar - x yuans
75 dollars - 375 yuans
Applying cross multiplication:
[tex]75x = 375[/tex]
[tex]x = \frac{375}{75}[/tex]
[tex]x = 5[/tex]
Evan gets 5 Chinese yuans for every Australian dollar.
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Financial maths-- multiple choice!!!
What is the risk associated with electronic money management that can arise from a bank not having enough cash on hand?
solvency
liquidity
credit risk
operational risk
Answer:
liquidity
Step-by-step explanation:
when the bank gets only electronic money transfers, they don't get actual money. so, they can use that only for other electronic transfers, but if there is the need for actual money (e.g. a lot of people need a cash payout), the bank is then not able to do that. they don't have enough cash = they are not liquid.
which can actually lead to insolvency.
Part C Next, find the length of BC place point F at (4,4) and draw BF and FC now you hav the right ∆BFC with BC as the hypotenuse find BC and FC ising the coordinates of B,C, and,F then use the Pythagorean theorem to find BC show your work need help ASAP giving thanks and points away I just need these answer fast ???
Answer:
BF = |4 – 1| = 3
FC = |4 – 0| = 4
Using the Pythagorean Theorem to find BC:
BC2 = BF2 + FC2
BC2 = 32 + 42
BC2 = 9 + 16
BC = sqaure root 25
BC = 5
Step-by-step explanation:
The length of BC is 5 unit.
What is Pythagoras Theorem?If ABC is a triangle with AC as the hypotenuse and angle B with 90 degrees then we have:
|AC|^2 = |AB|^2 + |BC|^2
where |AB| = length of line segment AB. (AB and BC are rest of the two sides of that triangle ABC, AC being the hypotenuse).
We need to find the length of BC place point F at (4,4) and draw BF and FC now you have the right ∆BFC with BC as the hypotenuse find BC and FC using the coordinates of B,C, and,F then use the Pythagorean theorem to find BC.
Using the Pythagorean Theorem to find BC:
BC^2 = BF^2 + FC^2
BC^2 = 32 + 42
BC^2 = 9 + 16
BC = √25
BC = 5
So, BF = |4 – 1| = 3
FC = |4 – 0| = 4
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-3 find the value. -3 ( 2 ) ² x (4)
pls tell the answer step by step pls
(-2/3)^(-2) × x × (3/4)-3
(-3/2)^2 × x ×(4/3)^3
-3/2×-3/2×4/3×4/3×4/3×x
= 16/3 × x
= 16x/3
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Two weeks in a row, the golf course hosts a group of golfers. The second week had 10 more golfers than the first week. Use the dot plots to choose the true statement.
Answer:
The second week had 10 more golfers than the first week.
Step-by-step explanation:
The graph clearly shows that the second week golfer are more than the first week. The median for week 2 is greater than the median of week 1. The graph of week 2 shows that number of golfers had increased and their age is between 60 to 80 years of age. The median of week 2 is 79 where as median of week 1 is 75.
Both Fred and Ed have a bag of candy containing a lemon drop, a cherry drop, and a lollipop. Each takes out a piece and eats it. What are the possible pairs of candies eaten? A. Lemon-lemon, cherry-lemon, lollipop-lollipop, lemon-cherry, cherry-cherry, lemon-lollipop, lollipop-cherry, cherry-lollipop, lollipop-lemon B. Cherry-lemon, lemon-lollipop, lollipop-cherry, lollipop-lollipop, lemon-lemon C. Lemon-cherry, lemon-cherry, lemon-cherry, lemon-lollipop, lemon-lollipop, lemon-lollipop, cherry-lollipop, cherry-lollipop, cherry-lollipop D. Lemon-lemon, cherry-lemon, lollipop-lollipop, lemon-lollipop, cherry-cherry, lemon-lollipop, lollipop-cherry, cherry-lemon, lollipop-lemon
Answer:
A. Lemon-lemon, cherry-lemon, lollipop-lollipop, lemon-cherry, cherry-cherry, lemon-lollipop, lollipop-cherry, cherry-lollipop, lollipop-lemon
Step-by-step explanation:
From the above question, we are told that both Fred and Ed have a bag of candy containing a lemon drop, a cherry drop, and a lollipop
There are two events here's
2 people = Fred and Ed
3 bags of different sweets = Lemon Cherry and Lollipop
The number of ways that both of them can eat this singly is calculated using combination formula
C(n, r) = nCr = n!/r! (n - r)!
n = 3, r = 2 = 3C2 = 3!/2! (3 - 2)!
= 3 × 2 × 1/2 × 1
= 3
We were asked to find the possible pairs
Hence = 3² = 9
There are 9 possible pairs through which Fred and Ed can eat their sweets and they are:
1) Lemon - Lemon
2) Cherry - Cherry
3) Lollipop - Lollipop
4) Lemon - Cherry
5) Cherry - Lemon
6) Lollipop - Cherry
7) Cherry - Lollipop
8) Lollipop - Lemon
9) Lemon - Lollipop.
Therefore, Option A is the correct option
Answer:
LEMONS BURN YOUR HOUSE DOWN JK its this A. Lemon-lemon, cherry-lemon, lollipop-lollipop, lemon-cherry, cherry-cherry, lemon-lollipop, lollipop-cherry, cherry-lollipop, lollipop-lemon
Step-by-step explanation:
From the above question, we are told that both Fred and Ed have a bag of candy containing a lemon drop, a cherry drop, and a lollipop
There are two events here's
2 people = Fred and Ed
3 bags of different sweets = Lemon Cherry and Lollipop
The number of ways that both of them can eat this singly is calculated using combination formula
C(n, r) = nCr = n!/r! (n - r)!
n = 3, r = 2 = 3C2 = 3!/2! (3 - 2)!
= 3 × 2 × 1/2 × 1
= 3
We were asked to find the possible pairs
Hence = 3² = 9
There are 9 possible pairs through which Fred and Ed can eat their sweets and they are:
1) Lemon - Lemon
2) Cherry - Cherry
3) Lollipop - Lollipop
4) Lemon - Cherry
5) Cherry - Lemon
6) Lollipop - Cherry
7) Cherry - Lollipop
8) Lollipop - Lemon
9) Lemon - Lollipop.
Therefore, Option A is the correct option
the sum of n and the sum of 8 and 6"
Answer:
Its 14
Step-by-step explanation:
8+6=14
Answer:
The answer is 16
08
+ 06
----------
16
Hope it helps ;)
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Calculate : y
y = 20
y = 10
y = 15
y = 144
choose the only correct answer
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Jillian’s school is selling tickets for a play. The tickets cost $10.50 for adults and $3.75 for students. The ticket sales for opening night totaled $2071.50. The equation 10.50 a plus 3.75 b equals 2071.50, where a is the number of adult tickets sold and b is the number of student tickets sold, can be used to find the number of adult and student tickets. If 82 students attended, how may adult tickets were sold? ___adult tickets
Answer: The number of the adult tickets is 168
Step-by-step explanation: * Lets explain how to solve the problem
- The adults ticket costs $10.50
- The students ticket costs $3.75
- The total money of the opening night is $2071.50
- The equation of the total money earned in the opening night is:
10.50 a + 3.75 b = 2071.50, where a is the number of the adult ticket
and b is the number of the student ticket
- There were 82 students attended
* Lets solve the problem
∵ 10.50 a + 3.75 b = 2071.50
∵ The number of the students attended is 82
∵ b is the number of the students
∴ b = 82
- Substitute the value of b in the equation
∴ 10.50 a + 3.75(82) = 2071.50
∴ 10.50 a + 307.5 = 2071.50
- Subtract 307.5 from both sides
∴ 10.50 a = 1764
- Divide both sides by 10.50
∴ a = 168
∵ a is the number of the adult tickets
∴ The number of the adult tickets is 168
Give credit to ashraf 82
Answer:
The answer is 168
Step-by-step explanation: