The graph C represents the piecewise function.
The piecewise function is h(x) = -x²+2, x≤-2
h(x)=0.5x, -2<x<2
h(x)=x²-2, x≥2
For x ≤ -2, the graph is a downward-facing parabola that opens upwards with the vertex at (-2, 2).
For -2 < x < 2, the graph is a straight line with a positive slope, passing through the point (0, 0) and having a slope of 0.5.
For x ≥ 2, the graph is an upward-facing parabola that opens upwards with the vertex at (2, -2).
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Why are the two houses of Congress a compromise? How did this address the concerns of both groups?
Answer:
To balance the interests of both the small and large states, the Framers of the Constitution divided the power of Congress between the two houses. Every state has an equal voice in the Senate, while representation in the House of Representatives is based on the size of each state's population.
Step-by-step explanation:
Coach Burgess drew a right triangle on the board. He said the hypotenuse was 13 inches and one of the legs was 5 inches. What is the length of the other leg? Round to the the tenths place
The length of the other leg is 12 inches.
What is the Pythagorean theorem?
The Pythagorean theorem or Pythagoras' theorem is a fundamental relation in Euclidean geometry between the three sides of a right triangle. It states that the area of the square whose side is the hypotenuse is equal to the sum of the areas of the squares on the other two sides.
The hypotenuse of a right triangle is the side opposite the right angle, and the legs of a right triangle are the two sides that are adjacent to the right angle.
If we know the length of the hypotenuse and one leg of a right triangle, we can use the Pythagorean theorem to find the length of the other leg.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the legs.
We can use this theorem to write the equation:
c² = a² + b²
where c is the length of the hypotenuse, and a and b are the lengths of the legs.
In this problem, the hypotenuse is 13 inches and one of the legs is 5 inches. We can substitute these values into the equation to find the length of the other leg:
c² = a² + b²
(13)² = a² + (5)²
169 = a²+ 25
144 = a^2
a = 12
Hence, the length of the other leg is 12 inches.
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T is the midpoint of RS. Complete the proof that AQST = AQRT.
R
S
Statement
Reason
T is the midpoint of RS
Given
2
QT L RS
Given
LQTR & LQTS
RT M ST
Definition of midpoint
5
QT a QT
6
AQST % AQRT
SAS
Explanation:-
Given that T is the midpoint of RS, we know that RT is congruent to ST by the definition of midpoint.
Also, we are given that QT is parallel to RS and intersects RQ and ST at Q. Therefore, LQTR and LQTS are both parallelograms by the alternate interior angles theorem.
Since RT is congruent to ST and QT is congruent to itself, we know that QTQR and QTSQ are congruent rectangles.
Using the definition of midpoint and the fact that RT is congruent to ST, we know that RTMS. Therefore, LRTS is an isosceles triangle, and we can conclude that LQTS and LQTR are congruent by the base angles theorem.
Using the fact that LQTS and LQTR are congruent, along with the fact that QTQR and QTSQ are congruent rectangles, we can use the SAS (side-angle-side) congruence theorem to conclude that AQST is congruent to AQRT.
Therefore, we have proven that AQST is congruent to AQRT, given that T is the midpoint of RS.
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The size of a certain insect population is given by P(t), where t is measured in days. (a) How many insects were present initially? (b) Give a differential equation satisfied by P(t). (c) At what time will the population double? (d) At what time will the population equal ?
(a) Without more information, we cannot determine the initial number of insects. (b) The differential equation satisfied by P(t) is: dP/dt = kP, where k is the growth rate of the insect population.
(c) To find the time it takes for the population to double, we can use the formula:
2P(0) = P(0)e^(kt)
where P(0) is the initial population size. Solving for t, we get:
t = ln(2)/k
(d) Without more information, we cannot determine the time at which the population will equal a certain value.
Hi! To answer your question, I need the specific function P(t). However, I can provide you with a general framework to answer each part of your question once you have the function.
(a) To find the initial number of insects, evaluate P(t) at t=0:
P(0) = [Insert the function with t=0]
(b) To find the differential equation satisfied by P(t), differentiate P(t) with respect to t:
dP(t)/dt = [Insert the derivative of the function]
(c) To find the time at which the population doubles, first determine the initial population, P(0), then solve for t when P(t) is twice that value:
2*P(0) = P(t)
Solve for t: [Insert the solution for t]
(d) To find the time at which the population equals a specific value (let's call it N), set P(t) equal to N and solve for t:
N = P(t)
Solve for t: [Insert the solution for t]
Once you have the specific function P(t), you can follow these steps to find the answers to each part of your question.
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find the quantities of 18% of 50
Answer:
9
Step-by-step explanation:
18%of 50
18/100×50
0.18×50= 9
Answer:
9
Step-by-step explanation:
18% of 50
We can rewrite it as,
% = 1/100of = *(into)> 18/100 * 50
Solving,
18/100 * 5018/10 * 518/29Hence,18% of 50 = 9
The probability density function for a uniform distribution ranging between 2 and 6 is
a. 4
b. undefined
c. any positive value
d. 0.25
The probability density function (PDF) for a uniform distribution ranging between 2 and 6 is 0.25 i.e., the correct option is D.
In a uniform distribution, all values within the range have an equal probability of occurring. The PDF is used to describe the distribution of probabilities over the range. For a uniform distribution ranging between 2 and 6, the PDF would be a horizontal line with a height of 1/4 (or 0.25) between 2 and 6, and zero outside that range. However, at any specific point within the range, the PDF does not have a defined value.
The reason for this is that the PDF for a continuous random variable in a uniform distribution is defined as a constant value divided by the width of the range. Since the range for this uniform distribution is 4 (from 2 to 6), the constant value would be 1/4.
However, at any specific point within the range, the width of the range becomes zero, resulting in an undefined value for the PDF.
Therefore, the PDF for a uniform distribution ranging between 2 and 6 is indeed 0.25, as it provides a constant probability density over the entire range.
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fill in the blank. anthony placed an advertisement for a new assistant on november 1. he hired marquis on december 1. his _______ was 30 days.
Anthony's "hiring process" or "recruitment period" was 30 days.
The blank can be filled with "hiring process" or "recruitment period" to indicate the duration between placing the advertisement for a new assistant on November 1 and hiring Marquis on December 1. This period represents the time it took Anthony to evaluate applicants, conduct interviews, and make the decision to hire Marquis.
The hiring process typically involves several steps, such as advertising the job opening, reviewing applications, conducting interviews, and finalizing the selection. The duration of this process can vary depending on various factors, including the number of applicants, the complexity of the position, and the efficiency of the hiring process.
In this case, the hiring process took 30 days, indicating the length of time it took for Anthony to complete the necessary steps and choose Marquis as the new assistant. This duration provides insight into the timeframe Anthony needed to assess candidates and make a hiring decision.
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what values of b and c make WXY congruent to FEG in
The Hypotenuse-Leg Theorem states that two right triangles are congruent if and only if the hypotenuse and a leg of one right triangle are congruent to the hypotenuse and a leg of the other right triangle.
From this theorem, we know that corresponding sides must be equal for those triangles to be congruent. Then, we get two equations
\(\begin{gathered} c-2=2c-22 \\ 4b+18=b+48 \end{gathered}\)Let's start solving the equation for b.
\(4b+18=b+48\)We can start by subtracting 18 from both sides of the equation
\(\begin{gathered} 4b+18-18=b+48-18 \\ 4b=b+30 \end{gathered}\)Now, we can subtract b from both sides.
\(\begin{gathered} 4b-b=b+30-b \\ (4-1)b=30 \\ 3b=30 \end{gathered}\)And finally, dividing both sides by 3 we have
\(\begin{gathered} \frac{3b}{3}=\frac{30}{3} \\ b=10 \end{gathered}\)Now we have our b value. b = 10. Now, let's calculate the value for c.
\(c-2=2c-22\)We can start by adding 22 to both sides of the equation
\(\begin{gathered} c-2+22=2c-22+22 \\ c+20=2c \end{gathered}\)Now, we can just subtract c from both sides to get our value
\(\begin{gathered} c+20-c=2c-c \\ 20=(2-1)c \\ c=20 \end{gathered}\)Then, we have our c value, c = 20.
The scale factor from the model of the inner human ear to the actual ear is 55:2 if one of the bones is 8.25 cm how long is the actual ear?
Answer:
AAAYYEEE MY BUDDY MY BUD have we met before? no BUT I CAN FEEL A CONNECTION HERE BUDDY hope this connection stays when I cop these pts <3 look man it's hours later you have your answer at this point my moral is still intact
Kristy rides 6 miles on her bicycle in 40 minutes. Jax rides 4 miles on his bicycle in 30 minutes.
Drag the tiles to complete the ratio tables. Tiles may be used once, more than once, or not at all.
60 added to
The complete table will be;
For Kristy;
Distance (miles) = 6 12 18 24 30
Time (min) = 40 80 120 160 200
For Jax;
Distance (miles) = 4 8 12 16 20
Time (min) = 30 60 90 120 150
What is mean by Ratio?
A ratio indicates how many times one number contain in another number. The ratio of two number is written as x : y, which is equivalent to x/y.
Where, x and y are individual amount of two quantities.
And, Total quantity gives after combine as x + y.
Given that;
Kristy rides 6 miles on her bicycle in 40 minutes.
Jax rides 4 miles on his bicycle in 30 minutes.
Now,
By the definition of ratio, we get;
For Kristy;
⇒ 6 : 40 = x : 80
⇒ 6 / 40 = x / 80
⇒ x = 12
And, 6 : 40 = x : 120
6 / 40 = x / 120
x = 18
And, 6 : 40 = x : 200
6 / 40 = x / 200
x = 30
For Jax;
4 : 30 = 8 : x
4 / 30 = 8/x
x = 60
And, 4 : 30 = x : 90
4 / 30 = x / 90
x = 12
And, 4 : 30 = x : 120
4 / 30 = x / 120
x = 16
And, 4 : 30 = x : 150
4 / 30 = x / 150
x = 20
Thus, The complete table will be;
For Kristy;
Distance (miles) = 6 12 18 24 30
Time (min) = 40 80 120 160 200
For Jax;
Distance (miles) = 4 8 12 16 20
Time (min) = 30 60 90 120 150
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Let A,B,C be arbitrary sets. Prove or disprove the following statements. Note that to disprove a statement you need to provide an example that the statement fails. (a) (A -(An B)) B = 0. (b) An (BUC) = (ANB) UC. (c) if ACC, then AU (C - A) = C.
The following can be answered by the concept of Arbitrary sets.
(a) The statement is true.
(b) The statement is true.
(c) The statement is false.
(a) To prove this statement, we need to show that the left-hand side of the equation is equal to the empty set. Let x be an arbitrary element in A -(An B). This means that x is in A, but not in both A and B. Therefore, x must be in B' (complement of B). Hence, x is in (A -(An B)) B if and only if x is in B'. But, this implies that (A -(An B)) B = B' B = 0, which is the empty set. Therefore, the statement is true.
(b) To prove this statement, we need to show that both sets contain the same elements. Let x be an arbitrary element in An (BUC). This means that x is in both A and (BUC). Therefore, x is in A and (B or C) (inclusive OR). This implies that x is either in A and B, or in A and C, or in both B and C. Hence, x is in (ANB) UC. On the other hand, let y be an arbitrary element in (ANB) UC. This means that y is either in A and B, or in C. Therefore, y is in both A and (BUC), or in C. Hence, y is in An (BUC). Therefore, the statement is true.
(c) To disprove this statement, we need to provide a counter example. Let A = {1,2}, C = {2,3}, then AC = {2}, and C - A = Therefore, AU (C - A) = {1,2,3}, but C = {2,3}. Hence, AU (C - A) is not equal to C. Therefore, the statement is false.
Therefore, (a) and (b) are true, but (c) is false.
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Hi there please help me with this equation I’m desperate this is my last question and I needed it done tonight and I cannot figure it out for the life of me lol The instructions are remove the symbols of inclusion and combine similar terms I need help on number two please hurry my mom wants me to be done now and I need this done tonight
I don't know if u need both but i'll solve both
2: -(z-3y-3x+z+2y+3x+2y)-x
-z+3y+3x-z-2y-3x-2y-x
-2z-y-x
3: 7-a+b-4+3a-2b
3+2a-b
I hope this helped :)
Patrick is excited to attend his son’s soccer game tomorrow
evening, but he also needs to ensure his daughter arrives at her
coding class on time. Patrick is debating whether taking the train
or his
Personal car would be the best option to manage both tasks efficiently. While the train is a reliable mode of transportation, it may have fixed schedules that might not align perfectly with Patrick's needs.
On the other hand, using his personal car provides more flexibility and allows him to tailor the departure time according to his daughter's coding class schedule.
If Patrick decides to take the train, he would need to check the train schedule to see if there are convenient departure and arrival times for both the soccer game and the coding class. This option would require planning and coordination to ensure he arrives at the game on time and can pick up his daughter afterward.
Using his personal car gives Patrick the freedom to leave at a time that accommodates both the soccer game and the coding class. He can drop off his daughter at her coding class, attend the soccer game, and then pick her up afterward without being restricted by train schedules.
Considering the circumstances, Patrick might find it more convenient to use his personal car to manage both tasks effectively and ensure he can attend his son's soccer game while also ensuring his daughter arrives at her coding class on time.
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An expression is shown -5.75 + 6.5, what is the value of the expression
Answer:
0.75
Step-by-step explanation:
You are just combining like terms since there are no variables:
-5.75 + 6.5 is the same as,
6.5 - 5.75
= 0.75
i'm over this please
Answer:my answer is oooof
Step-by-step explanation:
x=127
since a triangle equals 180, subtract 180-37-90 to get the bottom angle of 53. that straight line is also 180 so 180-53=127
A cylinder has a radius of 6 centimeters and a height of 18 centimeters. A smaller cylinder has linear dimensions that are one-third the dimensions of the larger cylinder. Compare the surface area of the smaller cylinder to the surface area of the larger cylinder.
Answer:
the larger cyclinder has a surface area which is 9 times the surface area of the smaller cyclinder.
Step-by-step explanation:
Surface area of larger cyclinder
Radius = 6cm
Height = 18cm
A = 2πrh + 2πr^2
= 2*3.14*6*18 + 2*3.14*6^2
= 678.24 + 226.08
= 904.32 cm
Smaller cyclinder (1/3 of the larger cyclinder)
Radius = 2cm
Height = 6cm
A = 2πrh + 2πr^2
= 2*3.14*2*6 + 2*3.14*2^2
= 75.36 + 25.12
= 100.48 cm
Comparing the surface area of the larger cyclinder and the smaller cyclinder
= 904.32 cm / 100.48 cm
= 9
This means, the larger cyclinder has a surface area which is 9 times the surface area of the smaller cyclinder.
Help me out if your good at geometry:) thank you
Answer:
angle ACF
Step-by-step explanation:
when you see the black small triangle it helps one to know the position of the angles.
Suppose Aaron recently purchased an electric car. The person who sold him his new car told him that he could consistently travel 200 mi before having to recharge the car's battery. Aaron began to believe that the car did not travel as far as the company claimed, and he decided to test this hypothesis formally. Aaron drove his car only to work and he recorded the number of miles that his new car traveled before he had to recharge its battery a total of 14 separate times. The table shows the summary of his results. Assume his investigation satisfies all conditions for a one-sample t-test. Mean miles traveled Sample sizer-statistic P-value 191 -1.13 0.139 The results - statistically significant at a = 0.05 because P 0.05.
The reported p-value of 0.139 suggests that there is no significant evidence to reject the null hypothesis that the true mean distance traveled by the electric car is equal to 200 miles. This means that the sample data does not provide enough evidence to support Aaron's hypothesis that the car does not travel as far as the company claimed.
Since the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis at the 0.05 level of significance. In other words, we do not have enough evidence to conclude that the car's actual mean distance traveled is significantly different from the claimed distance of 200 miles.
Therefore, Aaron's hypothesis that the car does not travel as far as the company claimed is not supported by the data. He should continue to use the car as it is expected to travel 200 miles before requiring a recharge based on the company's claim.
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32. How is the number of redundant bits necessary for code related to the number of data bits?
Redundant bits are additional bits added to the data bits to achieve this purpose.
The number of redundant bits necessary for a code is related to the number of data bits to ensure error detection and correction in transmitted data. In general, redundant bits are additional bits added to the data bits to achieve this purpose.
To determine the number of redundant bits (r) needed for a specific number of data bits (k), you can use the following inequality:
\(2^r ≥ k + r + 1\)
Here, r is the number of redundant bits, and k is the number of data bits.
Step-by-step explanation:
1. Identify the number of data bits (k) in the code.
2. Use the inequality\(2^r ≥ k + r + 1\)to find the minimum value of r (redundant bits) that satisfies the inequality.
3. The value of r obtained will be the number of redundant bits necessary for the code.
By adding redundant bits to the data, it helps in detecting and correcting errors during data transmission, thereby ensuring the accuracy and reliability of the information being communicated.
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Can anyone help me ASAP!
Answer:
Step-by-step explanation:
65
Answer:
91.9 feet to the nearest tenth.
Step-by-step explanation:
Let the required distance be x feet.
Using the Pythagoras theorem:
x^2 = 65^2 + 65^2
x^2 = 8450
x = 91.9.
If Emilie and Jessie can skateboard 4 miles in 20 minutes. How far can they go in 60 minutes?
Answer:
12 miles
Step-by-step explanation:
Answer:
12 miles
Step-by-step explanation:
20 * 3 = 60 minutes
4 * 3 = 12 miles
Hope this is helpful:)
Need help with this question. I will give Brainliest!
Answer:
See below
Step-by-step explanation:
a) The vertex is (0,2) so the standard form equation is (x-0)^2=4p(y-2). Since p=1/(4a) and a=1/8, then p=1/(4(1/8))=1/(1/2)=2. This makes the equation now x^2=8(y-2). Given the focus point for a vertical parabola is (h,k+p) then the focus point is (0,2+2) which is (0,4)
b) They are both 4 units away
c) I can't solve
d) I can't solve
A 2-yard piece of aluminum wire costs $30.00. What is the price per foot?
Answer:
5
Step-by-step explanation:
1 yard=3ft.
2x3=6
30/6=5
Answer:
$15.00
Step-by-step explanation:
1 yard= 3 feet
2 yards =6 feet
2 yard divided by 30=$15.00
1 foot= $15
How do you prove closed under addition?
A closed under addition can be proved if the sum of any two members of the set also belongs to the set.
We can take any two even integers and add them together. The result is an even integer. A set is closed under scalar multiplication if the product of any member and a scalar is also in the set. In other words, if x is in S and a is any scalar then ax will be in the set if the set is closed under scalar multiplication. For example, the set of 2 x 2 diagonal matrices is closed under scalar multiplication.
For example,
A = {( x, y) , y = 0 }
B= { (x, y) , x+ y = 1 }
Typical elements of A are (1,0), (2,0). The element (1,1) is an element not in A. Typical elements of B are (1,0), (1/2,1/2). The element (1,1) is an element not in B. Now A and B carry an addition that is (x, y)+(x', y')=(x + y, x' + y')). Saying that A is closed under addition just means that whenever you take two elements in A, the sum of those elements is again in A. Let's check if this is the case: two elements in A have the form (x, 0) and (x', 0). The sum of those elements is (x + x', 0), and this is again in A. Thus A is closed under addition.
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Dalia earns $108.75 for working 15 hours as a holiday helper wrapping gifts. On Saturday she earned $58, how many hours did she work
Answer:
she worked 8 hours
Step-by-step explanation:
108.75 divided by 15 to find per hour.
it's 7.25.
7.25 * 8 = 58
Answer:
Dalia worked 3.5 hours
Step-by-step explanation:
108.75 x .15 = 16.31
16.31 is the unit rate
16.31 x 3.5 = 57.8 = 58
Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs $3.50, while the 16 oz. box costs $5.00. At the end of one week, she collected $97.50, selling a total of 24 boxes. The system of equations that models her sales is below.
x+ y= 24
3.50x + 5.00y = 97.50
Solve the system of equations. How many 10 oz. boxes were sold?
6
9
12
15
9514 1404 393
Answer:
15
Step-by-step explanation:
We see that x represents the number of 10-oz boxes sold. Then y=24-x is the number of 16-oz boxes sold. Substituting for y in the second equation gives ...
3.50x +5.00(24 -x) = 97.50
-1.50x +120 = 97.50
22.50 = 1.50x . . . . . . . add 1.50x -97.50
15 = x . . . . . . . . . . . . . . divide by 1.50
15 10-oz boxes were sold.
Answer:
The answer is D) 15 on edge
(have a nice day and brainiest pls)
Step-by-step explanation:
what is the difference between(8,−3) (4, -7)
Answer:
1
Step-by-step explanation:
I will assume you want to find the slope [ y2-y1/x2-x1 ]
-7-(-3)/4-8
-4/-4
1
Best of Luck!
Which is the best estimate of the difference between 6 7 8 678 and 2 1 8 218
Answer: C.5
Step-by-step explanation:
Mark is online buying songs to download to his smart phone. He has a $20 gift card. He sees that there is a one time fee of $10 to sign up. Then each song cost $1.99.
Write the any quality that models the situation above.
Answer:
20 - 10 = 10 - 1.99 = 8.00
Step-by-step explanation:
sorry if it's wrong brainliest plzzzzzzzzzzzzzzzzzzzzz
What is the probability that a randomly chosen college student exercises in the morning or afternoon? 0. 37 0. 39 0. 62 0. 76.
The probability that a randomly chosen college student exercises in the morning or afternoon is 0.76
We have given that the M be the event that the student exercises in the morning and A be the event that the student exercises in the afternoon.
To find : The probability that a randomly chosen college student exercises in the morning or afternoon
P(M) = 0.25+0.37 = 0.62
P(A) = 0.14+0.37 = 0.51
P(M and A) = 0.37
Now,
P(M or A) = P(M) + P(A) - P(M and A)
= 0.62 + 0.51 - 0.37
= 0.76
Hence, Option last 0.76 is the correct choice.
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