Answer:
120
Step-by-step explanation:
As those two lines are parallel, we can express and equation:
\((6x + 18) + (4x - 8) = 180\)
\(6x + 4x = 180 - 18 + 8\)
\(10x = 170\)
\(x = 17\)
\(6x + 18 = 102 + 18 = 120\)
2. What is the truth value of the following statement?
If a number is divisible by 3, then it is odd.
Answer:
False
Step-by-step explanation:
30 is divisible by 3 yet it is not an odd number, which means that this statement is false.
find an equation of the tangent to the curve at the point corresponding to the given value of the parameter. x = t3 1, y = t10 t; t = −1
The equation of the tangent to the curve x = t³ + 1 and y = t¹⁰ + 1 at the point t = -1 is given by, 10x + 3y - 6 = 0
The parametric equations of the curve are:
x = t³ + 1
y = t¹⁰ + 1
Differentiating with respect to 't' we have,
dx/dt = 3t²
dy/dt = 10t⁹
Now, dy/dx = (dy/dt)/(dx/dt) = 10t⁹/3t² = 10t⁷/3.
When t = -1 then
x = (-1)³ + 1 = 0
y = (-1)¹⁰ + 1 = 2
So the point is (0, 2).
When t = -1, dy/dx = - 10/3.
So the equation of the tangent to the curve at t = -1 is,
(y - 2) = (-10/3) (x - 0)
3y - 6 = - 10x
10x + 3y - 6 = 0
So the required equation is 10x + 3y - 6 = 0.
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3.
Add 6.4 and -27.5
A -33.9
B. -21.1
C. 21.1
D. 33.9
Answer:
T he answer is B
Step-by-step explanation:
Just add 6.4+ -27.5
What is the quotient of the given values to the correct level of precision? 16.017 in. ÷ 0.370 in. 43 43.289 43.29 43.3
Answer:43.289
Step-by-step explana
Who introduced judicial activism?
Arthur Schlesinger Jr. introduced the term "judicial activism" in a January 1947 Fortune magazine article titled "The Supreme Court: 1947".
What is judicial activism?
Judicial activism is a judicial philosophy that is sometimes referred to as "legislating from the bench". It is an exercise of judicial review and generally refers to the willingness of a judge to strike down legislative or executive actions regarding constitutional issues. Judicial restraint is generally thought of as the opposite of judicial activism.[1]
Earlier in the january of 1947 ,Arthur Schlesinger Jr. introduced the term "judicial activism" .An article by Keenan Kmiec says that in its early usage, it was sometimes used with a positive connotation akin to the term "civil rights activist".
Thus , Arthur Schlesinger Jr. introduced the term "judicial activism" in a January 1947 Fortune magazine article titled "The Supreme Court: 1947".
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Find the circumference
Answer:
90 units
Step-by-step explanation:
circumference C = 2 \(\pi\)r
taking \(\pi\) as 3.
C = 2 × 3 × 15
(15 is the radius of the circle)
C = 90 units
Answer:
90
Step-by-step explanation:
The Answer will be 90 because Pie is being replaced with 3, so it would be like 2(3)(15) which equals to 90.
But If Pie remains pie the equation would look like (2)(3.14)(15) which would turn out to be 94.2
Please help me on this one I got it wrong
Answer: E. 10,000,000 cubic millimeters
Step-by-step explanation: To find out any result from cubic centimeters to cubic millimeters, you multiply the cubic centimeters' value by 1000 to get the cubic millimeters' value.
10,000 * 1,000 = 10,000,000 cubic millimeters.
Hope this helped!
Step-by-step explanation:
The correct answer is E 10,000,00
classify the polynomial
2x^5-3x^2-6
Answer:
A polynomial is a combination of terms separated by + or − signs. A polynomial does not contain variables raised to negative or fractional exponents, variables in the denominator or under a radical, or any special features such as trigonometric functions, or logarithms
Step-by-step explanation:
The table shows the distances between major cities.
New York to Paris 3,636 miles
Los Angeles to Toronto 2,171 miles
Mr. Santiago has a flight from Los Angeles to Toronto. If the plane travels at 520 miles per hour, how many hours long is the flight?
__ hours
Answer:
The time take for the journey can be calculated by dividing the total distance by the distance travelled in an hour.
Which is 2171 (Total distance) / 520 (Distance travelled in a hour)
\(2171/520 = 4.175\)
Which can be rounded of to 4.2
It takes 4.2 hours for the flight between Los Angeles and Toronto
estimate the sum of 24,872 + 651 + 971 + 8,499 to the nearest hundred.
Answer: 34990
Step-by-step explanation:
6. A cylinder has a volume of 500 cm3 and a diameter of 18 cm. Which of the following
is the closest to the height of the cylinder?
a) 1 cm
b) 2 cm
c) 4 cm
d) 8 cm
when you go to another country you might need to exchange United States Dollars for the local countries currency. For example if you go to south korea, you can get 780 Won for $1.00. How many dollars would I expect to get if I exchanged 98,000 Won.
Duke ate 1.2 kilograms of dog food each day for a total of 8.4 kilograms while his owners were out of town during the month of January. He ate 0.9 kilograms of dog food each day for a total of 7.2 kilograms while his owners were out of town during the month of February. He ate 1.8 kilograms of dog food each day for a total of 10.8 kilograms while his owners were out of town during the month of March. He ate 1.5 kilograms of dog food each day for a total of 13.5 kilograms while his owners were out of town during the month of April. During which month were his owners gone for the shortest period of time?
A.
January
B.
April
C.
February
D.
March
(a) Find the Fourier transform X (jw) of the signals x(t) given below: i. (t – 2) – 38(t – 3) ii. e-2t u(t) iii. e-3t+12 uſt – 4) (use the result of ii.) iv. e-2|t| cos(t) (b) Find the inverse Fourier transform r(t) of the following functions X(jw): i. e-j3w + e-jów ii. 27 8W - 2) + 210(w + 2) iii. cos(w + 4 7T )
i. The Fourier transform of (t - 2) - 38(t - 3) is [(jw)^2 + 38jw]e^(-2jw). ii. The Fourier transform of e^(-2t)u(t) is 1/(jw + 2). iii. The Fourier transform of e^(-3t+12)u(t-4) can be obtained using the result of ii. as e^(-2t)u(t-4)e^(12jw). iv. The Fourier transform of e^(-2|t|)cos(t) is [(2jw)/(w^2+4)].
i. To find the Fourier transform of (t - 2) - 38(t - 3), we can use the linearity property of the Fourier transform. The Fourier transform of (t - 2) can be found using the time-shifting property, and the Fourier transform of -38(t - 3) can be found by scaling and using the frequency-shifting property. Adding the two transforms together gives [(jw)^2 + 38jw]e^(-2jw).
ii. The function e^(-2t)u(t) is the product of the exponential function e^(-2t) and the unit step function u(t). The Fourier transform of e^(-2t) can be found using the time-shifting property as 1/(jw + 2). The Fourier transform of u(t) is 1/(jw), resulting in the Fourier transform of e^(-2t)u(t) as 1/(jw + 2).
iii. The function e^(-3t+12)u(t-4) can be rewritten as e^(-2t)u(t-4)e^(12jw) using the time-shifting property. From the result of ii., we know the Fourier transform of e^(-2t)u(t-4) is 1/(jw + 2). Multiplying this by e^(12jw) gives the Fourier transform of e^(-3t+12)u(t-4) as e^(-2t)u(t-4)e^(12jw).
iv. To find the Fourier transform of e^(-2|t|)cos(t), we can use the definition of the Fourier transform and apply the properties of the Fourier transform. By splitting the function into even and odd parts, we find that the Fourier transform is [(2jw)/(w^2+4)].
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Help please!! Gshwbdhsbdusvzvshbehd
Answer:
I think the answer is A but im not sure
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
Based on the problom the best conclution would be A,hope this helped.
Step-by-step explanation:
what is possible verbal description for this function relation for y=5x+10
The possible verbal description of the function relation y = 5x + 10 is; The rate of a bus is a $5 per kilometers and there is a basic charge of $10.
How to interpret Linear Equations?The general equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Now, we are given the function relation as y = 5x + 10
From the general equation of a line in slope intercept form, m which is the slope is also known as the rate while c which is the y-intercept is the basic value when input is zero. Thus;
The verbal description of the given equation is;
The rate of a bus is a $5 per kilometers and there is a basic charge of $10.
Where;
The total cost is represented by y, as a function of the number of kilometers x.
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Find the circumference and the area of the circle to the nearest hundredths. Be sure to include your units. (Use 3.14 for ) 8 cm
Answer:
19cm
Step-by-ste explanation:
A bag contains 1 blue, 2 green, and 2 red marbles. You choose a marble with one hand and then a second marble with the other hand. What is the probability that you will first choose a red marble followed by a green marble?
The probability that you will first choose a red marble followed by a green marble is 20%.
ProbabilitiesGiven that a bag contains 1 blue, 2 green, and 2 red marbles, and you choose a marble with one hand and then a second marble with the other hand, to determine what is the probability that you will first choose a red marble followed by to green marble the following calculation must be made:
1 + 2 + 2 = 52/5 x 2/4 = X0.4 x 0.5 = X0.2 =X0.2 x 100 = 20Therefore, the probability that you will first choose a red marble followed by a green marble is 20%.
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The probability of choosing a red marble is 2/5 while the probability of choosing a green marble after a red marble is 1/2
Data;
blue = 1green = 2red = 2Probability without replacementTo solve this problem, we have to do probability without replacement.
The total number of marbles in the bag is
\(1 + 2 + 2 = 5\)
The probability of choosing a red marble is
Number of read marbles = 2
probability of choosing a red marble is
\(P = \frac{2}{5}\)
The probability of choosing a green marble after a red marble is
\(P = \frac{2}{4} =\frac{1}{2}\)
The probability of choosing a red marble is 2/5 while the probability of choosing a green marble after a red marble is 1/2
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the curved surface area and volume of a cylinder are 880 CM^2 and 3080 cm^3 respectively find its total surface area
The total surface area of a cylinder are 1187.35 cm sq.
What is the volume of a right circular cylinder?Suppose that the radius of considered right circular cylinder be 'r' units.
And let its height be 'h' units.
Then, its volume is given as:
\(V = \pi r^2 h \: \rm unit^3\)
We are given the curved surface area and volume of a cylinder are 880 CM^2 and 3080 cm^3 respectively.
A = 880
V = 3080
Curved surface area of cylinder = 2πrh
880 = 2π x r x h
rh = 880/ 2π
Volume of cylinder = πr x r x h
3080 = πr x r x h
rh = 3080 / πr
Substitue the values;
880/ 2π = 3080 / πr
440/π = 3080 / πr
r = 3080 / 440
r = 7
Now, rh = 880/ 2π
h = 20.01
The total surface area = 2πr(r + h)
= 2π x 7(7 + 20.01)
= 1187.35 cm sq.
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Tom earns $3.25 per hour at the car wash plus $1.50 for each car he washes. If he wishes to earn at least $100 on a busy weekend during which he works 12 hours, what is the minimum number of cars that he must wash? Which property of equality did you use to solve this problem?
Answer:
41, I did simple math
For each of the following scenarios, determine whether the mean or median better represents the data (place a check mark in the appropriate box). For each case, explain why you chose that particular average. The following three scenarios below do not have a specific data set. Be sure to consider all possibilities/outcomes! "Create" a data set if you need to.
In each scenario, the choice between mean and median as a representative measure of central tendency depends on the nature of the data and the specific context..
1. Scenario: Income distribution of a population
- If the income distribution is skewed or contains extreme values (outliers), the median would be a better representation of the central tendency. This is because the median is not influenced by outliers and provides a more robust estimate of the "typical" income level. However, if the income distribution is approximately symmetric without outliers, the mean can also be an appropriate measure.
2. Scenario: Exam scores in a class
- If the exam scores are normally distributed without significant outliers, the mean would be a suitable measure as it takes into account the value of each score. However, if there are extreme scores that deviate from the majority of the data, the median may be a better representation. This is especially true if the outliers are indicative of errors or exceptional circumstances.
3. Scenario: Housing prices in a city
- In this case, the median would be a more appropriate measure to represent the central tendency of housing prices. This is because the housing market often exhibits a skewed distribution with a few high-priced properties (outliers). The median, being the middle value when the data is sorted, is not influenced by these extreme values and provides a better understanding of the typical housing price in the city.
Ultimately, the choice between mean and median depends on the specific characteristics of the data and the objective of the analysis. It is important to consider the distribution, presence of outliers, and the context in which the data is being interpreted.
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G(3b)=3(3b)+2
PLEASE SOLVE ASAP BUT CORRECT IN ITS NOT YOU WILL BE REMOVED!!!!!
Answer:
G(x) = 3x +2
Step-by-step explanation:
I do not know what the problem is asking for, but if it's asking for the function, here you go.
Answer:
shbdhsjdcjsvdbssegehehhehehejrjehe
If historically about 5% of passengers on a flight from Boston to New York do not show up, how many tickets would the airline sell on a plane that seats 360 passengers?
If historically about 5% of passengers on a flight from Boston to New York do not show up, the airline would sell approximately 342 tickets on a plane that seats 360 passengers.
1. If 5% of passengers do not show up, it means that 95% of passengers actually board the flight. To calculate the number of tickets the airline would sell, we can multiply the seating capacity of the plane by 95% (or 0.95). In this case, the plane seats 360 passengers, so the calculation would be: 360 passengers x 0.95 = 342 passengers
2. Therefore, the airline would sell approximately 342 tickets on a plane that seats 360 passengers, accounting for the historical no-show rate of 5%. This ensures that the airline can maximize its revenue while accounting for the expected number of no-show passengers.
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2+2^2 divided by 4+3. THIS IS A MULTIPLE CHOICE QUESTION PLEASE REMEMBER THAT option: 6, 7, 21, 67
Answer:
6
Step-by-step explanation:
Answer: From what I can tell it is 6 divided by 7 so I don't know. Go with 6 as your answer I would say.
Step-by-step explanation:
someone help me on this pleasee
The complete table.
x -8 -4 0 4 8
y 28 16 4 -8 -20
We have,
y = -3x + 4
Now,
Substituting x = -8, -4, 0, 4, and 8.
y = -3 x -8 + 4 = 24 + 4 = 28
y = -3 x -4 + 4 = 12 + 4 = 16
y = -3 x 0 + 4 = 0 + 4 = 4
y = -3 x 4 + 4 = -12 + 4 = -8
y = -3 x 8 + 4 = -24 + 4 = -20
Thus,
The complete table.
x -8 -4 0 4 8
y 28 16 4 -8 -20
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FILL IN THE BLANK. Two events are said to be ________ if they can not occur at the same time.Two events are said to be _______ if the occurrence of one does not influence the probability of occurrence for the other.
Complete statement : Two events are said to be mutually exclusive if they can not occur at the same time. Two events are said to be Independent if the occurrence of one does not influence the probability of occurrence for the other.
What are Independent events?
Independent events are events for which the occurrence (or non-occurrence) of one event does not affect the probability of the other event occurring.
Two events are said to be mutually exclusive (or disjoint) if they cannot occur at the same time. In other words, if one event occurs, the other event cannot occur simultaneously.
For example, if we toss a coin, the events "getting a heads" and "getting a tails" are mutually exclusive. If we get a heads, we cannot get a tails at the same time.
Two events are said to be independent if the occurrence of one event does not influence the probability of occurrence of the other event. In other words, the probability of both events occurring together is equal to the product of their individual probabilities.
For example, if we roll a dice twice, the events "getting a 2 on the first roll" and "getting a 4 on the second roll" are independent. The probability of getting a 2 on the first roll is 1/6, and the probability of getting a 4 on the second roll is also 1/6. The probability of getting a 2 on the first roll and a 4 on the second roll is (1/6) x (1/6) = 1/36.
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Slove for x
4 ( 4x+15)=24
Answer:
x=-9/4
Step-by-step explanation:
4(4x+15)=24 - divide both sides
4x+15=6 - move constant to the right
4x=6-15 -solve for the difference
4x=-9 - divide both sides
Which order pairs lie on the graph of the equation y 2x 3?
The order pair that lies on the graph of the equation y = 2x - 3 is (1, -1).
What is an ordered pair?
An ordered pair is made up of the ordinate and the abscissa of the x coordinate, with two values given in parenthesis in a certain sequence. In order to understand a point visually, it can be helpful to position it on the Cartesian plane. An ordered pair's numerical values may be fractions or integers.
Given equation of line is y = 2x - 3.
Putting x = 1 in the given equation:
y = 2 - 3
y = -1
Given order pair is (1,-1), thus it lies on y = 2x - 3
Putting y = 0 in the given equation:
0 = 2x - 3
2x = 3
x = 3/2
Given order pair is (-3,0), thus it does not lie on y = 2x - 3.
Putting x = 5 in the given equation:
y = 10 - 3
y = 7
Given order pair is (5,4), thus it does not lies on y = 2x - 3.
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If you invest $2000 at a rate of 8% per year, how many years will it take to earn at least $1000 in interest?
Answer:
around year 5ish or early 6 year
Step-by-step explanation:
what is -8 divided 6.4. ??
Answer:
-1.25
Step-by-step explanation:
When -8 is divided by 6.4 we get -1.25.
Use the concept of division defined as:
Repetitive subtraction is the process of division. It is the multiplication operation's opposite. It is described as the process of creating equitable groupings. When dividing numbers, we divide a bigger number down into smaller ones such that the larger number obtained will be equal to the multiplication of the smaller numbers.
Here we have to find the number when,
-8 divided by 6.4
It can be written as,
-8/6.4
Multiply and divide 10 on both the numerator and denominator,
-80/64
Now divide 80 by 64 then attach the negative sign in the quotient.
The division is attached below.
Hence,
The required number is -1.25.
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