Identify the translation of the figure with the vertices P(2,3), Q(−1,0), and R(1,−2), along the vector ⟨4,0⟩.
P ′(3, 6), Q ′(3, 0), R ′(5, −2)
P ′(6, 3), Q ′(3, 0), R ′(5, −2)
P ′(3, 6), Q ′(5, 0), R ′(−2, 5)
P ′(6, 3), Q ′(5, 2), R ′(2, −5)
9514 1404 393
Answer:
B. P ′(6, 3), Q ′(3, 0), R ′(5, −2)
Step-by-step explanation:
The translation vector tells you that 4 is added to each x-coordinate.
(x, y) ⇒ (x, y) +(4, 0) = (x +4, y)
Then ...
P(2, 3) ⇒ P'(2+4, 3) = P'(6, 3) . . . . . matches B or D
Q(-1, 0) ⇒ Q'(-1+4, 0) = Q'(3, 0) . . . . . matches choice B
Check
R(1, -2) ⇒ R'(1 +4, -2) = R'(5, -2) . . . . . also matches choice B
If you place a 35-foot ladder against the top of a 31-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot.
Answer:
4ft
Step-by-step explanation:
The bottom of the ladder will be 16.25 feet from the bottom of the building.
What is the right triangle?A right triangle is defined as a triangle in which one angle is a right angle or two sides are perpendicular.
As per the situation, we create a right triangle as shown.
Let x be the distance from the bottom of the building to the bottom of the ladder.
Using Pythagoras's theorem, then, we have:
x² + 31² = 35²
Simplifying this equation, we get:
x² = 35² - 31²
x² = 264
x = 16.25 (rounded to the nearest tenth of a foot).
Therefore, the bottom of the ladder will be 16.25 feet from the bottom of the building.
Learn more about Pythagoras's theorem here:
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Q 16 Two numbers are in the ratio 3 : 17. If the first is 6, what is the other?
Ops: A.
w
O 51
B.
O 68
C.
0 42
5723
D.
O 34
Answer:
D 34
Step-by-step explanation:
i hope you understand
The Histogram is a graphic which is: A. Bar Chart useful for showing the distribution of data B. 80-20 principle C. A complex timeline D. A simple history
Answer: Flow Chart. B - Fishbone Diagram. C - Scatterplot. D - 80-20 principle; used to identify the ... The Histogram is a graphic which is: A - Bar Chart useful for showing the distribution of data. B. 80-20 principle. C. A complex timeline. D. A simple history
Step-by-step explanation: Hope this helped :)
Evaluate 4y if y = 3
Answer:
12
Step-by-step explanation:
y = 3 so
4 × 3 = 12
The value of 4y at y=3 is 12.
What is Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given:
Expression : 4y
Now, we have to put y= 3
So, 4y
= 4(3)
= 12
Hence, the value of 4y at y=3 is 12
Learn more about Equation here:
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Two boats started to move towards each other from two docks, located 30 miles apart. One boat moved at a speed of 3 miles per hour, the other moved twice as fast. How soon will the boats meet?
Answer:
3.333 hours
Step-by-step explanation:
Given the total distance is 30 miles, and boat 1 travels at 3 mph and boat 2 travels at 6 mph, and the time for both is the same. Distance is speed S times time T so
30 = D(boat 1) + D(boat 2)
30 = (S1 * T) + (S2 * T)
30 = 3T + 6T
30 = 9T
3.333 = T
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Answer:
Di.ck by doja cat andStep-by-step explanation:
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Which expression is equivalent to:
1.2y +4.5 -3.4y - 6.3?
5.5y - 10.2
-2.2y - 1.8
4.6y - 1.8
-2.2y + 11.1
Answer:
-2.2y-1.8
Step-by-step explanation:
1.2y+4.5-3.4y-6.3
1.2y-3.4y+4.5-6.3
-2.2y+4.5-6.3
-2.2y-1.8
A golden rectangle has a length of 5 cm. Find the area of the rectangle to the nearest square centimeter.
A. 9 square centimeters
B. 25 square centimeters
C. 17 square centimeters
D. 13 square centimeters
E. 15 square centimeters
Answer:
Option B is correct one
B. 25 square centimeters
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The area of the rectangle to the nearest square centimeter will be 15 square centimeters. Then the correct option is E.
What is the area of the rectangle?Let W be the rectangle's width and L its length.
The area of the rectangle is the multiplication of the two different sides of the rectangle. Then the rectangle's area will be
Area of the rectangle = L × W square units
A golden rectangle has a length of 5 cm. Then the width of the rectangle is given as,
W = 5 - 2
W = 3 cm
Then the area of the rectangle will be given as,
A = 5 x 3
A = 15 square centimeters
The area of the rectangle to the nearest square centimeter will be 15 square centimeters. Then the correct option is E.
More about the area of the rectangle link is given below.
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Multiply. Simplify and write your answer as a mixed number.
I need this answer today pls it is important pls help me out i will give you a crown and good ratings if you get it write
Can someone plz plz plz help will give u brainlest
Pleas help me am going to fail
Answer:
20 × 9= 180
...............................
Hi there!
[tex]\large\boxed{180 u^2}[/tex]
Use the following formula to solve for the area:
A = b × h
Plug in the given numbers:
A = 20 × 9 = 180 units²
What value of a will make the following equation true?
(x + a)(x – a) = x2 – 16
a = 2
a= 16
a=4
a = 8
A die is rolled one thousand times. The percentage of aces should be around ____ or so. the first step iin computing this problem should be
Answer:
Following are the solution to the given question:
Step-by-step explanation:
Please find the complete question in the attached file.
[tex]Box \ average =\frac{1}{6} \\\\SD = \frac{1}{6} \times \frac{5}{6} = \frac{5}{36} \approx 0.373\\\\Expected \ value= 1000 \times \frac{1}{6} \approx 166.7\\\\SE = 1000 \times 0.373 \approx 11.8\\\\[/tex]
The total number of aces is approximately 167, 12 or more. The SE is 12 out of 1000, which is 1.2 percent.
The percentage of aces is expected to be around 16.67% , or 1.2%.
As of 2018, Apple had 5 billion outstanding shares. The stock price is roughly $200.
A) How much is Apple worth?
B) If all tangible assets total $1 Billion, what
represents the rest of Apple's worth?
Answer:
Therefore, the value of the company is $ 1,000,000,000,000, that is, a trillion dollars. In turn, if the tangible assets of the company are worth 1 billion, all the other intangible assets of the company are worth 999 billion.
Step-by-step explanation:
Given that as of 2018, Apple had 5 billion outstanding shares whose stock price is roughly $ 200, to determine the value of the company and determine, if all tangible assets total $ 1 Billion, what represents the rest of Apple's worth, the following calculations must be done:
5 billion = 1,000,000,000
5,000,000,000 x 200 = X
1,000,000,000,000 = X
1 trillion = 1000 billions
1000 - 1 = 999
Therefore, the value of the company is $ 1,000,000,000,000, that is, a trillion dollars. In turn, if the tangible assets of the company are worth 1 billion, all the other intangible assets of the company are worth 999 billion.
Your current job offers a pension that is calculated by multiplying the
number of years worked by the average salary of your last three years times
1.36%. If you plan on retiring after 25 years, calculate your annual pension if
your last three year salaries were $86,966, $88,666, and $90,628.
Trey invested $15,000 into a savings account for five years at 7% interest. How much is in the account if the interest is compounded monthly?
Multipuly po ba (15;000 7%)
An accessories store sells $8 custom socks and $11 custom hats. If 11 items were sold on Monday, and the
total sales were $100, how many socks were sold?
Answer:
7 socks were sold
Step-by-step explanation:
7*8=56
11-7=4
4×11=44
56+44=100
This proves the answer of 7 to be correct
Directions: Encircle the letter of the correct answer.
1. What do you call the distance around a cirde?
A. area
B. perimeter
C. circumference
volume
2. Jenny made a circular veil has a radius of 4 decimeters. How many decimeters of lace
trimmings were needed to put around the veil?
A. 8 decimeters
B. 16 decimeters
C. 12 decimeters
D. 25.12 decimeters
3. The circular based statue in the middle of a fountain City Hall Park has a diameter of 9
meters. If the City Mayor would like to put decorative ribbon around it, how much ribbon is
needed?
A. 18 meters
B. 28.26 meters
C. 27 meters
D. 81 meters
4. Mr. Cruz planted santan in his circular garden with a diameter of 8 meter. What is the
circumference of his garden?
A. 16 meters
B. 25.12 meters
C. 24 meters
D. 64 meters
5. Robert's mother is making a pot holder with a diameter of 7 meters. How many meters of
lace she needs to decorate around the pot holder?
A. 14 meters
B. 21.98 meters
C. 21 meters
D. 49 meters
Answer:
Step-by-step explanation:
1.C. circumference
2.D. 25.12 decimeters
Solution
C=2πr=2·π·4≈25.13274
3.B. 28.26 meters
Using the formulas
C=2πr
d=2r
Solving for C
C=πd=π·9≈28.27433m
4.B. 25.12 meters
Using the formulas
C=2πr
d=2r
Solving for C
C=πd=π·8≈25.13274m
5.B. 21.98 meters
Using the formulas
C=2πr
d=2r
Solving for C
C=πd=π·7≈21.99115m
In 120 spins, about how often can you expect to get a number less than 6?
Answer:
is is 35
Step-by-step explanation:
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Laz had a hard time with this problem on his homework. Help him figure out what went wrong in his process. (Read Picture)
Answer:
x = 6/√3
y = 3/√3
Step-by-step explanation:
For a triangle rectangle with a known angle θ, we have the relations:
Sin(θ) = (opposite cathetus)/(hypotenuse)
Cos(θ) = (adjacent cathetus)/(hypotenuse)
Tan(θ) = (opposite cathetus)/(adjacent cathetus)
For this triangle, we know an angle:
θ = 60°
And the opposite cathetus measures 3 units.
The adjacent cathetus is y.
The hypotenuse is x.
To find the value of x, we can use the Sin equation:
Sin(60°) = 3/x
x = 3/sin(60°) = 3.46 = 3*2/√3 = 6/√3
And we can use the Tan relation to find the value of y.
Tan(60°) = 3/y
y = 3/Tan(60°) = 1.73 = 3/√3
For x he didn't divide by √3, while for y he multiplied by √3 instead of dividing by √3.
A two-state system is in an environment at temperature 500 K. The energy of state 1 is 4.1e-20 J, and the energy of state 2 is 5.7e-20 J. Let be the probability of finding the system in state 1, and be the probability of finding the system in state 2. What is the ratio
Complete Question
A two-state system is in an environment at temperature 500 K. The energy of state 1 is[tex]E_1=4.1e-20 J[/tex], and the energy of state 2 is [tex]E_2= 5.7e-20 J[/tex]. Let P(1) be the probability of finding the system in state 1, and be the probability of finding the system in state 2. What is the ratio P(2)/P(1)
Answer:
[tex]X=0.0984[/tex]
Step-by-step explanation:
From the question we are told that:
Temperature T=500 K
Energy of state 1 [tex]E_1=4.1e-20 J[/tex],
Energy of state 2 is [tex]E_2= 5.7e-20 J[/tex]
Generally the equation for Probability of finding the system in state is mathematically given by
[tex]P(1)=e ^{\frac{-E_1}{KT}}[/tex]
Therefore
For Probability of finding the system in state 1 [tex]P(1)[/tex]
[tex]P(1)=e ^{\frac{-E_1}{KT}}[/tex]
Where
K is Boltzmann constant
[tex]K=1.38*10^{-23}[/tex]
[tex]P(1)=e ^{\frac{-(4.1e-20 J)}{1.38*10^{-23}*500}}[/tex]
For Probability of finding the system in state 1 [tex]P(2)[/tex]
[tex]P(2)=e ^{\frac{-(5.7e-20 J)}{1.38*10^{-23}*500}}[/tex]
Generally the equation for The Ratio of [tex]P(2)[/tex] and [tex]P(2)[/tex] is mathematically given by
[tex]X=\frac{P(2)}{p(1)}[/tex]
[tex]X=e ^{\frac{E_1-E_2}{KT}}[/tex]
[tex]X=e ^{\frac{-(4.1-5.7)e-20 J)}{1.38*10^{-23}*500}}[/tex]
[tex]X=0.0984[/tex]
Since an instant replay system for tennis was introduced a a major tournament, men challenged 1390 referee calls, with the result that 411 of the calls were overturned. Women challenged 753 referee calls, and 213 of the calls were overturned. Use a .05 significance level to test the claim that men and women have equal success in challenging calls.
Required:
a. Test the claim using a hypothesis test.
b. Consider the first sample to be the sample of male tennis players who challenged referee calls and the second sample to be the sample of female tennis players who challenged referee calls. What are the null and alternative hypotheses for the hypothesis test?
c. What is the conclusion based on the hypothesis test?
Answer:
H0: μm − μw = 0
against the claim
Ha: μm − μw ≠ 0
Since the calculated value of z= 0.6177 does not lie in the critical region the null hypothesis is accepted that men and women have equal success in challenging calls.
Step-by-step explanation:
1) Let the null and alternate hypothesis be
H0: μm − μw = 0
against the claim
Ha: μm − μw ≠ 0
2) The significance level is set at 0.05
3) The critical region is z > + 1.96 and z< -1.96
4) The test statistic
Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]
Here p1= 411/ 1390= 0.2956 and p2= 213/753=0.2829
pc = 411+ 213/1390+753
pc=624/2143
pc= 0.2912
qc= 1-pc= 1-0.2912=0.7088
5) Calculations
Z= p1-p2/ sqrt [pcqc( 1/n1+ 1/n2)]
z= 0.2956-0.2829/√ 0.2912*0.7088( 1/1390+ 1/753)
z= 0.0127/ √0.2064 (0.00204)
z= 0.0127/0.02056
z= 0.6177
6) Conclusion
Since the calculated value of z= 0.6177 does not lie in the critical region the null hypothesis is accepted that men and women have equal success in challenging calls.
Which two discontinuities does the graph show?
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Answer:
Discontinuities can be classified as jump, infinite, removable, endpoint, or mixed. Removable discontinuities are characterized by the fact that the limit exists. Removable discontinuities can be "fixed" by re-defining the function.
<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3
Answer:
jump discontinuity at x = –2; infinite discontinuity at x = 0
Step-by-step explanation:
For Edge 2021
The hundred students took a survey. They were asked, "What is your favorite kind of sandwich?" Turkey was chosen by 25% of the
students.
What number of students chose turkey?
O A 5
B. 50
Ο Ο
ООО
C. 100
D. 175
E 500
Answer:
Step-by-step explanation:
Answer:
its A because 25% is equal to 25 out of a hundred
Step-by-step explanation:
how do you find 25% of 92
Answer:
23
Step-by-step explanation:
PLEASE HELP I WILL MAKE YOU BRAINLIEST IF IT LETS ME
NO FAKE LINKS OR YOU WILL BE REPORTED
Answer:
Jeffery because the other dude go the 2 numbers wrong (he put the x coordinates on y and y on x)
In BCD, the measure of
Answer:
is this yr new questions but still it's blank
stay safe healthy and happy.which of the following represents the equality for the sum of 11 and Y is greater than -33
Answer:
11+y > -33
Step-by-step explanation:
Answer:
You wrote
"Which of the following" Meaning there's should be options present.
But Going with the statement...
The sum of 11 and y is greater than -33
I'd say
11 + y > -33.