When we rotate a Parallelogram PQRS of 90 degrees clockwise about the origin, each point of the given figure has to be changed from (x, y) to (y, -x) and graph the rotated figure.
P(x₁, y₁) ⇒ P'(y₁ , -x₁ )
Q(x₂, y₂) ⇒ Q'(y₂ , -x₂ )
R(x₃, y₃) ⇒ R'(y₃ , -x₃ )
S(x₄, y₄) ⇒ S'(y₄ , -x₄ )
The Greek word "parallelogrammon," which means "bounded by parallel lines," is the source of the English word "parallelogram." Thus, a quadrilateral with parallel lines as its borders is referred to as a parallelogram. The opposing sides of this form are parallel and equal. Each of the three primary varieties of parallelograms—square, rectangle, and rhombus—has distinct characteristics.
A unique variety of quadrilateral made up of parallel lines is called a parallelogram. A parallelogram can have any angle between its neighboring sides, but it must have opposing sides that are parallel for it to be a parallelogram. If the opposing sides of a quadrilateral are parallel and congruent, it will be a parallelogram. Consequently, a quadrilateral in which both sets of opposite sides are parallel and equal is referred to as a parallelogram.
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If 3/7 is written as a decimal, will the digits after the decimal eventually repeat?
Answer:yes
Step-by-step explanation:
Yes, If 3/7 is written as a decimal then the digits after the decimal eventually repeat.
What is Number system?A number system is defined as a system of writing to express numbers.
Yes, the decimal representation of 3/7 will eventually repeat.
To convert the fraction 3/7 to a decimal, we can use long division.
Three by seven is a fraction, A fraction represents a part of a whole.
3/7 = 0.42857142857
The digits after the decimal point begin to repeat after the first six digits. Therefore, the decimal representation of 3/7 is 0.428571, with the digits 285714 repeating indefinitely.
Hence, If 3/7 is written as a decimal then the digits after the decimal eventually repeat is true.
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Combine the like terms to create an equivalent expression:
−3k−(−8)+2
What's the answer?
Answer:
-3k+10
Step-by-step explanation:
=> −3k−(−8)+2
=> -3k +8+2
=> -3k+10
Match the equivalent expressions.
3x + 3y + 2(2x - y)
7x - By
5(x + y) + 6(x - y)
(5x - 3y) - x + 3x - 5y
4(x + y) - 3(x + y)
7x+y
11x - y
x - 4x + 6y + (14x - 5y)
11x + y
Help meeeee
Answer:
?
Step-by-step explanation:
•35 POINTS• (it’s not SAS)
1.SSS
2.ASA
3.SAA
Answer:
SAA
Step-by-step explanation:
answer please im begging you QwQ
Answer:
A is your answer
Step-by-step explanation:
Solve the following equation for ΔT : q=m×ΔT×C Select one: a. ΔT= qC
m
b. ΔT= mq
C
c. ΔT= q
mC
d. Equation cannot be solved. e. ΔT= mC
q
The equation q = m × ΔT × C can be solved for ΔT by rearranging the equation. The correct answer is (b) ΔT = mq/C.
To solve the equation q = m × ΔT × C for ΔT, we need to isolate ΔT on one side of the equation. We can do this by dividing both sides of the equation by m × C:
q = m × ΔT × C
Dividing by m × C:
q / (m × C) = ΔT
Rearranging the terms, we get:
ΔT = q / (m × C)
Therefore, the correct answer is (b) ΔT = mq/C. This rearranged equation allows us to calculate ΔT by dividing the heat transfer q by the product of mass (m) and specific heat capacity (C).
It's important to note that when solving equations, we should pay attention to the algebraic manipulations and ensure that the units of the variables are consistent throughout the calculation.
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$51,270 payments to be made at the end of each period for 17 periods at 9%. (Round factor values to 5 decimal places, e.g. 1.251 and final answer to 0 decimal places, e.g. 458,581.) Present value
To calculate the present value of $51,270 payments to be made at the end of each period for 17 periods at a 9% interest rate, we need to find the discounted value of each payment and sum them up.
The present value (PV) is calculated by discounting each future payment back to its current value using the interest rate. The formula to calculate the present value of a series of payments is:
PV = Payment × [1 - (1 + interest rate)^(-number of periods)] / interest rate.
In this case, the payment is $51,270, the interest rate is 9% (or 0.09 as a decimal), and the number of periods is 17.
Using the provided formula and rounding the factor values to 5 decimal places, we can calculate the present value as follows:
PV = $51,270 × [1 - (1 + 0.09)^(-17)] / 0.09.
Evaluating this expression will give us the present value of the payments. It's important to round the final answer to 0 decimal places, as stated in the question.
By substituting the values and calculating the expression, we can determine the present value of the $51,270 payments made over 17 periods at a 9% interest rate.
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which expression is equivalent to 13-(-18)
\(\huge\text{Hey there!}\)
\(\huge\textsf{13 - (-18)}\)
\(\huge\textsf{= 13 + 18}\)
\(\huge\textsf{= \bf 31}\)
\(\boxed{\boxed{\huge\text{Therefore, your answer is most likely: \textsf{31}}}}\huge\checkmark\)
\(\huge\text{Good luck on your assignment \& enjoy your day!}\)
~\(\huge\text{Amphitrite1040:)}\)
Answer:
\( \displaystyle 31\)
Step-by-step explanation:
we want to simplify the following expression:
\( \displaystyle 13 - ( - 18)\)
remove parentheses and change its sign because we know that two negatives make positive Thus:
\( \displaystyle 13 + 18\)
finally simplify addition:
\( \displaystyle\bf \fbox{31}\)
hence,
\( \displaystyle 13 - ( - 18) = \boxed{31}\)
57.2 divided by -10,000
Show your work
Answer:
-0.00572
Step-by-step explanation:
0.572 143/250 57.2%
then divide:)
pls help me with algebra
Solve this system of equation using the substitution method
2x + y = 5
y = x - 4
Answer:
\(\boxed {\boxed {\sf (3, -1)}}\)
Step-by-step explanation:
We are asked to solve this system of equations using substitution:
\(2x+y=5\\y=x-4\)
Since y is equal to x-4, we can substitute x-4 in the top equation.
\(2x+(x-4)=5\)
\(2x+x-4=5\)
Combine the like terms on the left side of the equation. 2x and x both have the variable x and can be added.
\(3x-4=5\)
Now, solve for x by isolating the variable. 4 is being subtracted and the inverse of subtraction is addition. Add 4 to both sides.
\(3x-4+4=5+4\\3x=5+4\\3x=9\)
x is being multiplied by 3 and the inverse of multiplication is division. Divide both sides by 3.
\(3x/3=9/3 \\x=9/3 \\x=3\)
x is equal to 3. Substitute 3 back into the bottom equation to find y.
\(y=x-4\\y=3-4\\y=-1\)
Points are written as (x,y). The solution to this system of equations is (3, -1).
is the following a probability model? what do we call the outcome "red"?
The following a probability model? what do we call the outcome No, the provided information is not sufficient to determine if it is a probability model. The outcome "red" is typically referred to as an event.
A probability model is a mathematical representation of a random experiment, where the sample space is defined, and probabilities are assigned to all possible outcomes. To determine if the given information is a probability model, we would need to know the complete list of possible outcomes, their corresponding probabilities, and ensure that the probabilities meet the necessary conditions (sum up to 1 and are non-negative).
Based on the limited information provided, we cannot determine if it is a probability model. The outcome "red" is called an event in the context of probability.
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Evaluate 68 % of 948.37 m Give your answer rounded to 2 DP.
Answer:
644.89
Step-by-step explanation:
Answer:
644.89 m
Step-by-step explanation:
68 / 100 * 948.37 = 0.68 * 948.37 = 644.89 m (2 d.p.)
Over which interval does h have a positive average rate of change?
Answer:
In every case, the first given x is smaller than the second given x (e. g., in A, x=0 is smaller than x=6. Thus, the change in x from 0 to 6 is positive.
Step-by-step explanation:
Step-by-step explanation:
the function has a positive average rate of change from x=6 to x=8
savanna is sitting in a bucket of a farris wheen at the 3 oclock position. the ferris wheel has a radius 62 feet long. the ferris wheel begins moving clockwise. what is the measure of savanna's angle of roatation when she is 42 feet above the ferris wheel's horizontal diameter
Therefore, when Savannah is 42 feet above the ferris wheel's horizontal diameter, her angle of rotation is approximately 68.6 degrees.
Given by the question.
Let's first draw a diagram to visualize the situation.
*
* *
* * <-- Ferris wheel at 3 o'clock position
* *
* * <-- Highest point
*______________*______
62 ft
The Ferris wheel is a circle with radius 62 feet, and Savannah is sitting in a bucket that moves along the circle. When she is at the highest point, she is 62 feet away from the center of the circle, and when she is on the horizontal diameter, she is 62 feet - 42 feet = 20 feet away from the center of the circle.
To find Savannah's angle of rotation, we can use the cosine function.
cos(theta) = adjacent / hypotenuse
In this case, the adjacent side is 20 feet, and the hypotenuse is 62 feet.
cos(theta) = 20/62
To solve for theta, we need to take the inverse cosine of both sides.
theta = cos^-1(20/62)
Using a calculator, we get:
theta = 68.6 degrees
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i need help with this i just need the answer.
We have to find the length of FH.
We know that G is on the line, and we know the length FG and GH, so we can represent this as:
We then, we can apply the rule that states that the length of a segment is equal to the length of the segments that are part of it:
\(FH=FG+GH=10+5=15\)Answer: FH = 15
PLZ PLZ PLZ HELP ME PLSSSSS
Answer:
x = 70
Step-by-step explanation:
Answer:
Step-by-step explanation:
b/c we know that the inside angles of a triangle add to 180
180 = 38 + x + x + 2
180 = 40 + 2x
140 = 2x
70 = x
Earth is approximately 1.5x10^8 km from the sun. how many minutes does it take to travel from the sun to the earth? the speed of light is 3x10^8 m/sec
the product of two numbers is 1,33,600. If the first number is 25 than what is the second number?
Answer:
Step-by-step explanation:
It looks much harder than it really is
Let the first number = 25
Let the second number = x
25 * x = 133600 divide both sides by 25
25*x/25 = 133600/25
x = 5344
Make sure the answer really is 133600 because the comma (one) should go before the 6.
Which of the following explains why space objects are massive in size?
Icy and gaseous material was pushed out by the sun's heat.
Hydrogen atoms fused to form helium due to high pressure.
Large objects clumped together due to gravity to form larger objects.
Large objects were broken apart due to gravity to form fine stellar dust.
Answer: C) Large objects clumped together due to gravity to form larger objects.
Any mass, no matter how big or small, exerts a force of gravity on other masses. The larger the mass, the more gravitational force is applied. If you had various objects floating in space, then eventually those objects will collide with one another (if they are close enough). Those collisions effectively clump the materials together to form larger masses. Apply this idea multiple times over a very long timespan, and eventually you go from millions of pebbles to larger rock formations to massive asteroids and so on. If you have enough material, then a planet may be formed under the right conditions. This idea applies not just to solid material, but to gasses as well. Planets such as Jupiter is an example of this.
Answer:
Large objects clumped together due to gravity to form larger objects.
Explanation:
All the objects in the universe are subjected to their own force of the gravity and is a fundamental to the study of the force of the universe and help to determine the shape of the planets.The large space object in the solar system is those composed of the large mass that is clustered around by the forces of gravity and held together by the atomic particles.
(Algebra) What is the lowest common denominator of 3/8x and 5/18x?
Answer: 3/8x
To find the least common denominator first convert all integers and mixed numbers (mixed fractions) into fractions. Then find the lowest common multiple of the denominators. This number is same as the least common denominator .You can then write each term as an equivalent fraction with the same LCD denominator.
Solve dy/dx = e^x + x and y(0) = 10
The given equation is a differential equation. The solution to this equation is given by y(x) = 10e^x + x^2/2 + C, where C is an arbitrary constant. To find the value of C, substitute x = 0 and y = 10 into the solution, which gives C = 10.
Therefore, the complete solution to the given differential equation is y(x) = 10e^x + x^2/2 + 10. This solution represents the general family of curves which pass through the point (0, 10).
To explain this further, consider the equation y' = f(x) = e^x + x. Since the equation is linear, the curves which pass through the point (x, y) are of the form y = f(x)x + C, where C is a constant. In the given equation, C is equal to 10. Therefore, the family of curves passing through (0, 10) is given by y = e^x + x^2/2 + 10.
To summarize, the solution to the differential equation dy/dx = e^x + x and y(0) = 10 is y(x) = 10e^x + x^2/2 + 10. This represents the family of curves which pass through the point (0, 10).
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Consider a simulation experiment in which the population distribution is quite skewed. The figure below shows the density curve for lifetimes of_a certain type of electronic control [this is actually a lognormal distribution with E(ln(X)) = 3 and V(ln(X)) = 0.16]. The statistic of interest is the sample mean X. The experiment utilized 500 replications and considered these sample sizes: n = 5, n = 10, n = 20, and n = 30. The resulting histograms along with a normal probability plot from MINITAB for the x values based on n = 30 are shown in the figures below. Density curve for the simulation experiment (E(A) = 21.7584, V(X) = 82.1449]
In this simulation experiment, the population distribution represents the lifetimes of a certain type of electronic control and the density curve in the figure represents the population distribution.
The distribution is skewed and follows a lognormal distribution with an expected value of ln(X) equal to 3 and a variance of ln(X) equal to 0.16. The experiment consisted of 500 replications and examined different sample sizes: n = 5, n = 10, n = 20, and n = 30.
The density curve in the figure represents the population distribution, with an expected value of E(A) equal to 21.7584 and a variance of V(X) equal to 82.1449. The histograms shown illustrate the distribution of sample means for the different sample sizes. Additionally, a normal probability plot from MINITAB is included for the x-values based on a sample size of n = 30, allowing for an assessment of the normality assumption for the sample means.
These visual representations provide valuable insights into the characteristics of the simulated experiment's population distribution, as well as the behavior of the sample means for different sample sizes.
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The complete question is:
Consider a simulation experiment in which the population distribution is quite skewed. The figure below shows the density curve for lifetimes of_a certain type of electronic control [this is actually a lognormal distribution with E(ln(X)) = 3 and V(ln(X)) = 0.16]. The statistic of interest is the sample mean X. The experiment utilized 500 replications and considered these sample sizes: n = 5, n = 10, n = 20, and n = 30. The resulting histograms along with a normal probability plot from MINITAB for the x values based on n = 30 are shown in the figures below. Density curve for the simulation experiment (E(A) = 21.7584, V(X) = 82.1449].
HELPP MEeee PLEASE I'll give u kizz
Answer:
Don't want any but here's your answer
Step-by-step explanation:
He spends $165 on 20 gallons
Examine the solution process below. If it is correct, select "The solution is correct." If incorrect, select the first equation in the solution process that is not true, Osuming that the prior equation is true. ► x + 4 = 2x + 11 3x + 4 = 11 3x = 15 x = 5 The solution is correct.
Answer: Yes the soultuion is corrrect
Step-by-step explanation:
2
Solve the equation log, (3t+9) - log, 21 =1
Answer:
67
Step-by-step explanation:
log(3t+9)-log21 = 1
Applying, the law of logarithm,
log(3t+9)/21 = 1
converting the log into index
(3t+9)/21 = 10
solving for t
3t+9 = 21×10
3t+9 = 210
3t = 210-9
3t = 201
t = 201/3
t = 67
*
(9) Complete the calculation so that each shows the correct sum.
0.5 1 3 7
+
1
Your answer
Answer:1.5137
Step-by-step explanation:
The fact family model represents 3 + 14 = 17. A triangle. 17 is in the top corner. 3 is in the bottom left corner. 14 is in the bottom right corner. How does 17 compare to 3? 14 is 17 less than 3. 3 is 14 less than 17. 3 is 17 greater than 14. 3 is 14 greater than 17.
Answer:
3 is 14 less than 17
Step-by-step explanation:
Given the model:
3 + 14 = 17
Say :
A = 17
B = 3
C = 14
Comparing 3 to 17 in the model :
We can express 17 interms of 3 and 14
3 + 14 = 17
17 is the sum of 3 and 14
Therefore, 17 is 3 greater than 14 or 14 greater than 3
14 = 17 - 3
14 is 3 less than 17
3 = 17 - 14
3 is 14 less than 17
From the options , the correct statement which models the comparison between 17 and 3 is ;
"3 is 14 less than 17".
which rotation about its center will carry a regular hexagon onto itself
which of the answers below show P as 3 points from 5 in the positive direction? select all that apply.
A. 5+3
B. 5+ (-3)