-17.8a -2.4a +25 -19.5
Combine like terms:
-17.8a - 2.4a = -20.2a
25-19.5 = 5.5
Answer: -20.2a+5.5
A band marches 2 1/2 miles in 1 2/3 hours at a juneteenth parade. They march at the same rate in a fourth of july parade for 1/2 hour. How far does the band march in 1/2 hour?
Using proportions, it is found that the band marches 0.75 miles in half an hour.
What is a proportion?A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.
According to the information given in the problem, the following rule of three can be built:
2.5 miles - 1.67 hours
x miles - 0.5 hours.
Applying cross multiplication, we have that:
1.67x = 2.5(0.5)
x = 2.5(0.5)/1.67
x = 0.75 miles
The band marches 0.75 miles in half an hour.
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Answer:The answer is 0.75.
Step-by-step explanation:
What is the scale factor from ABC to DEF?
Answer:
0 so D
Step-by-step explanation:
The shape didnt change at all. All the sides are 5 for both triangles.
two planes flying at the same altitude are heading toward jwd airport. the paths of these planes form a right triangle. the jet is flying due east toward jwd at 450 mph. the turboprop is approaching jwd from the south at 275 mph. when each is 100 miles from the airport how fast is the distance between the planes changing?
The speed of the distance between the two planes is increasing at 325 mph as they approach JWD Airport.
The two planes form a right triangle, with the jet flying due east at 450 mph and the turboprop approaching from the south at 275 mph. The hypotenuse of the triangle is the distance between the planes, and the length of the hypotenuse is changing as the planes approach the airport. The rate of change of the length of the hypotenuse is equal to the sum of the rates of change of the two sides of the triangle, which are the speeds of the jet and the turboprop. As they are both 100 miles from the airport, the speed of the distance between the two planes is equal to the sum of the two speeds, or 450 mph + 275 mph = 325 mph. Therefore, the distance between the two planes is changing at a rate of 325 mph.
Rate of change of distance between the planes = Rate of change of jet + Rate of change of turboprop
= 450 mph + 275 mph
= 325 mph.
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3 to the power of -2
Answer:
1/9
Step-by-step explanation:
If it’s a negative exponents you just use the reciprocal and multiply that by the power. In this case its, 1/3(1/3)=1/9
1/9
No negative signs since it’s multiplying by the reciprocal to the power
Assume that θ is an angle in standard position whose terminal side contains the point (5, -12). Find the exact value of the following functions.
The relation between polar and cartesian coordinates is given by:
In this case, we have:
\(P(x,y)=P(5,-12)\Rightarrow r={\sqrt{x^2+y^2}}=\sqrt{5^2+(-12)^2}=\sqrt{169}=13.\)AnswerUsing the formulas above and the values of x, y and r, we have:
1) sin θ
\(\sinθ=\frac{y}{r}=-\frac{12}{13}.\)2) cos θ
\(\cosθ=\frac{x}{r}=\frac{5}{13}.\)3) tan θ
\(\tanθ=\frac{y}{x}=-\frac{12}{5}.\)4) csc θ
\(csc\text{ }\theta=\frac{1}{sin\text{ }\theta}=\frac{1}{(-\frac{12}{13})}=-\frac{13}{12}.\)5) sec θ
\(sec\text{ }\theta=\frac{1}{cos\text{ }\theta}=\frac{1}{\frac{5}{13}}=\frac{13}{5}.\)6) cot θ
\(cot\text{ }\theta=\frac{1}{\tan\theta}=\frac{1}{(-\frac{12}{5})}=-\frac{5}{12}.\)Suppose a city with population 100,000 has been growing at a rate of 2% per year. If this rate continues, find the population of this city in 15 years.
The population in 15 years will be approximately (Round to the nearest whole number as needed.)
Answer:
130000 people
Step-by-step explanation:
100,000*.02=2000 people a year
2000*15=30000
30000+100000+130000
A line has slope 3 and y–intercept 4.
Which answer is the equation of the line?
Answer:
y= 3x+4
Step-by-step explanation:
Slope-intercept form of an equation is
y=mx+b
m=slope
b=y-intercept
Just plug the values in and you get y=3x+4
John is saving to buy a new car that will cost him $24,000. John started his savings at the beginning of the school year and has been able to accumulate $1000 after the first month. John plans to continue his savings at a rate proportional to the amount he still needs to save. Determine John's savings amount as function of time Hint: A variable y is said to be proportional to a variable x if y=cx for some constant c.
John's savings amount as a function of time is S(t) = $24,000 / 25. Initially, he needs to save $24,000 for a new car. After the first month, he has saved $1,000. The savings amount is directly proportional to the time elapsed. The constant of proportionality is 1/24. Thus, John's savings amount can be determined based on the remaining amount he needs to save.
John's savings amount can be represented as a function of time and is proportional to the amount he still needs to save. Let's denote the amount John needs to save as N(t) at time t, and his savings amount as S(t) at time t. Initially, John needs to save $24,000, so we have N(0) = $24,000.
We know that John has saved $1,000 after the first month, which means S(1) = $1,000. Since his savings amount is proportional to the amount he still needs to save, we can write the proportionality as:
S(t) = k * N(t)
where k is a constant of proportionality.
We need to find the value of k to determine John's savings amount at any given time.
Using the initial values, we can substitute t = 0 and t = 1 into the equation above:
S(0) = k * N(0) => $1,000 = k * $24,000 => k = 1/24
Now we have the value of k, and we can write John's savings amount as a function of time:
S(t) = (1/24) * N(t)
Since John's savings amount is proportional to the amount he still needs to save, we can express the amount he still needs to save at time t as:
N(t) = $24,000 - S(t)
Substituting the expression for N(t) into the equation for S(t), we get:
S(t) = (1/24) * ($24,000 - S(t))
Simplifying the equation, we have:
24S(t) = $24,000 - S(t)
25S(t) = $24,000
S(t) = $24,000 / 25
Therefore, John's savings amount at any given time t is S(t) = $24,000 / 25.
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Calculate a four-day moving average for the price of the stock for the end of day 7. day 1 - 62.00; day 2 - 56.00; day 3 - 50.00; day 4 - 60.00; day 5 - 59.00; day 6 - 55.00; day 7 - 59.00; day 8 - 63.00
Answer:
58.25
Step-by-step explanation:
A "moving average" is a "boxcar average," the unweighted average over the specified number of days.
SolutionThe 4-day moving average ending on day 7 is ...
4-day average = (day 4 +day 5 +day 6 +day 7)/4
= (60 +59 +55 +59)/4 = 233/4
4-day average = 58.25
The four-day moving average for the price of the stock for the end of day 7 is 56.00
What is moving average?
The moving average on a particular day is the average of prices on the days prior to the pricing day.
In other words, four-day moving average on day 7 is the sum the prices of four days prior to day 7 divided by the number of days whose prices were considered.
In computing the four-day moving average for day 7, we would sum the prices for days 3-6, then divide the sum by 4 since prices of 4 days were made use of.
four-day moving average on day 7=(50.00+60.00+59.00+55.00)/4
four-day moving average on day 7= 56.00
Note, as the day of pricing changes, the input prices would also change
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Find the midpoint of (-8,-10) and (8,0)
Answer:
(0,-5)
Step-by-step explanation:
You just have to find the middle of each one
From -8 to 8 there are 16 numbers so you divide 16 by 2 which would be 8 and add that to -8 giving you 0
From -10 to 0 there are 10 numbers divided by 2 is 5 so you add 5 to -10 giving you -5
This makes your midpoint (0,-5)
Calcular la magnitud de la velocidad angular y el período de
una rueda que gira con una frecuencia de 1200 rpm.
Answer:
The magnitude of the angular velocity is 125.66 rad / s and the period is 0.05 seconds.
Step-by-step explanation:
The computation of the magnitude and the period is given below:
First we determine the angular velocity that transforming the revolutions per minute,
So,
ω = (1200 rev / min) × (2π rad / rev) × (1 min / 60s)
ω = 125.66 rad / s
Now, the period is
ω = 2π ÷ T
T = 2π ÷ (125.66 rad / s)
T = 0.05 s
Hence, the angular velocity has a value of 125.66 rad / s and the period is 0.05 seconds.
all of the following represents the same ratio except 4:3 4/3 or 3 to 4
Answer:
3 to 4
Step-by-step explanation:
cause 4:3 can be written as 4/3 or 4 to 3
but 3 to 4 is written as 3:4 or 3/4
Answer:
3 to 4
Step-by-step explanation:
All of the other ratios are 4 to 3.
determine whether the raltion r on the set ofall integers is reflexin x =y^2
The relation "r" on the set of all integers, where x = y^2, is not reflexive.
A relation is reflexive if every element in the set is related to itself. In this case, for the relation x = y^2 to be reflexive, every integer "x" should be related to itself, meaning that x = x^2. However, this is not true for all integers.
For example, if we consider x = 2, it is not equal to 2^2 = 4. Similarly, if we consider x = -3, it is not equal to (-3)^2 = 9.
Since there are integers that do not satisfy the condition x = x^2, the relation x = y^2 is not reflexive on the set of all integers.
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on a regular day during the NBA season are what roughly nine NBA games being played on regular days the NBA uses a total of 27 brand new basketballs on using each game uses that exact same number of basketballs fill out the table below using equivalent ratios?
To find the constant of proportionality, divide the total amount of basketballs that have been used by the total number of games. This will give you the rate of new basketballs per game:
\(\frac{27\text{ basketballs}}{9\text{ games}}=3\text{ basketballs per game}\)Fill the column of "Number of NBA games" with the numbers from 1 to 9. Using the constant of proportionality, multiply each number in the first column by 3 to find how many basketballs are used depending on the number of games.
\(\begin{gathered} 1\text{ game }\rightarrow\text{ 3 basketballs} \\ 2\text{ games}\rightarrow6\text{ basketballs} \\ 3\text{ games }\rightarrow9\text{ basketballs} \\ \text{.} \\ \text{.} \\ \text{.} \\ 9\text{ games }\rightarrow27\text{ basketballs} \end{gathered}\)Remember: the proportional relationship being represented is the number of new basketbals that are used per game. The constant of proportionality is 27/9 = 3, and that's the value that belongs next to the 1 in the table.
please help :) i will give brainlyest
Answer:
7
Step-by-step explanation:
Drag one of the arrows from -6 to 7
How many cubic centimetres would you place in a tub of water to displace 1 L of water?
1000 cubic centimeters would need to be placed in a tub of water to displace 1 Lter of water
What is conversion of units?Conversion of units simply refers to the method used in determining the equivalent of one unit in relation to another.
From the information given, we have that;
Number of cubic centimeters that would be placed in a tub of water to displace 1 L of water
So, we have that there is 1 liter of water in the tub
In order to displace, you need to put something in that is the same amount
Now, let's convert the units
1 liter = 1000 cubic cm
Hence, you need 1000 cubic cm to displace 1 liter
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A mountain bike tire completes 15 revolutions and travela 146 feet. Rounded tot the nearest in, how many inches is the diameter of the vike's tire?
The diameter of the bike's tire is 2.325 inches.
What is circumference?Circumference of the circle or perimeter of the circle is the measurement of the boundary of the circle. Whereas the area of circle defines the region occupied by it. If we open a circle and make a straight line out of it, then its length is the circumference. It is usually measured in units, such as cm or unit m.
A mountain bike tire completes 15 revolutions and travels 146 feet.
Now,
1 revolution of a tire is equal to the circumference of the tire.
Since we have 15 revolutions, we should take 15C=146
where C=πd where π is pi (use 3.14 or the pi symbol).
Our equation is:
20πd=146.
Then solve for d:
20 × 3.14 × d = 146
62.8d = 146
d = 146/62.8
d = 2.325 inches.
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A rectangle is shown on a coordinate plane with vertices A(Negative 4, 8), B(1, 8), C(1, Negative 1), and D(Negative 4, Negative 1).
On a coordinate plane, a rectangle has 4 points. Point A is (negative 4, 8), point B is (1, 8), point C is (1, negative 1), point D is (negative 4, negative 1).
What are the dimensions of the rectangle?
The base is 4 units and the height is 9 units.
The base is 5 units and the height is 7 units.
The base is 5 units and the height is 9 units.
The base is 9 units and the height is 3 units.
Answer: The base is 5 units and the height is 9 units.
Step-by-step explanation:
Find the distance between each point:
Base can be calculated as the distance from A to B: Since y-coordinates are the same, subtract the x-coordinates: | - 4 - 1 | = 5
Height can be calculated as the distance from B to C: Since x-coordinates are the same, subtract the y-coordinates: | 8 - (-1) | = 9
Remember its distance, and that can't be negative, so take the absolute value of the results
Which of these expressions is not a proper example of scientific notation?
a. 2.3 x 10^5
b. 9.1 x 10^-7
c. 11 x 10^4
d. 1.5 x 10^-2
e. 0.4 x 10^4
Answer:
C
Step-by-step explanation:
X+2y=0 4y=-2x graphed
Helpp
The system of equations has infinite solutions.
How to solve the system of equations?Here we have the system of equations:
x + 2y = 0
4y = -2x
And we want to solve it graphically. To do so, we need to graph both of the equations in the same coordinate axis, and find the point where the graphs intercept.
In the graph below you can see that there is only one line, that happens because both of the equations represent the same line.
Then the system of equations has infinite solutions.
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A rectangular garden has length and width as given by the expressions below. Length: 4 - 7 (3x + 4y) Width: 3x(-2y) Write a simplified expression for the perimeter of the rectangle.
Answer:
⇒ 8 − ⇒ 42x − ⇒ 56y − ⇒ 12xy
Step-by-step explanation:
Im smart
Answer:
8 − 42x − 56y − 12xy
Step-by-step explanation:
Yes.
Find the slope of the line passing through the points (6,-1) and (2,-7)
Answer:
ans:3/2
Step-by-step explanation:
slope=-7-(-1)/2-6
=3/2
Answer:
\(\frac{3}{2}\)
Step-by-step explanation:
The equation to find the slope of the line is \(m=\frac{y_1-y_2}{x_1-x_2}\). Let us have (6,-1) as \((x_1,y_1)\) and (2,-7) as \((x_2,y_2)\):
\(m=\frac{-1-(-7)}{6-2} \\m=\frac{6}{4}\\\\m=\frac{3}{2}\)
Therefore, the slope of the line is \(\frac{3}{2}\)
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How many different ways are there to get 10 heads in 20 throws of a true coin?
joe schmo buys a house for 800,000 dollars. if homes appreciate 7 percent per year, how much will it be in 8 years
The final value would be 1,534,947.20
Joe Schmo:
Joe Shmoe (also spelled Joe Schmoe and Joe Schmo), meaning "Joe Anybody", or no one in particular, is a commonly used fictional name in American English. Adding an "Shm" to the beginning of a word is meant to diminish, negate, or dismiss an argument (for instance, "Rain, shmain, we've got a game to play"). It can also indicate that the speaker is being ironic or sarcastic. This process was adapted in English from the use of the "schm" prefix in Yiddish to dismiss something; as in, "Fancy, schmancy" (thus denying the claim that something is fancy). While "schmo" ("schmoo", "schmoe") is thought by some linguists to be a clipping of Yiddish.
If the home appreciates 7% per year, it will be worth approximately 1,534,947 dollars in 8 years. This can be calculated by multiplying the initial value of the home (800,000) by (1 + 0.07)^8.
You can also use the following formula:
Final Value = Initial Value x (1 + rate)^Years
The final value would be 1,534,947.20
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An extremely handsome math teacher was on a farm and he counted 32 animals; all pigs and chickens. Then he counted the number of feet. The total was 88. Find the number of pigs and the number of chickens. (Hint: You need to take the number of legs each animal has into consideration.)
15 pigs and 17 chickens
12 pigs and 20 chickens
20 pigs and 12 chickens
22 pigs and 10 chickens
Answer:
12 pigs and 20 chickens
Step-by-step explanation:
Chicken = 2 legs
Pig = 4 legs
(15 * 4) + (17 * 2) = 88 NO
(12 * 4) + (20 * 2) = 88 Yes, and 12 + 20 = 32
Nine times a number is -63
Answer:-7
Step-by-step explanation:
Answer:
-7
Step-by-step explanation:
Solve for p.
–
19p–2p+16p+12=
–
18
p=
Answer:
6
BRAINLIEST, PLEASE!
Step-by-step explanation:
-19p - 2p + 16p + 12 = -18
-5p + 12 = -18
-5p = -30
p = 6
Answer:
p = 6
Step-by-step explanation:
Given
- 19p - 2p + 16p + 12 = - 18 ( simplify left side )
- 5p + 12 = - 18 ( subtract 12 from both sides )
- 5p = - 30 ( divide both sides by - 5 )
p = 6
Question 7 Explain how you can use composition of functions to prove that the functions f(x)=(2)/(3)x-8 and g(x)=(3)/(2)x+12 are inverses.
To prove that the functions f(x)= (2)/(3)x-8 and g(x)=(3)/(2)x+12 are inverses, we can use composition of functions. We can do this by setting f(g(x)) = x and g(f(x)) = x and showing that they are equivalent.
First, let's look at f(g(x)). We can substitute g(x) into the equation for f(x), so we have: f(g(x)) = (2)/(3)((3)/(2)x+12)-8. Simplifying, we have: f(g(x)) = (4x+48)/6 - 8. Distributing the 4 and rearranging, we have: f(g(x)) = x.
Now let's look at g(f(x)). We can substitute f(x) into the equation for g(x), so we have: g(f(x)) = (3)/(2)((2)/(3)x-8)+12. Simplifying, we have: g(f(x)) = (2x-32)/3 + 12. Distributing the 2 and rearranging, we have: g(f(x)) = x.
Therefore, we have shown that f(g(x)) = x and g(f(x)) = x, which means that f(x) and g(x) are inverses of each other.
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analyze the worst-case time complexity of the algorithm you devised in exercise 35 of section 3.1 for finding the first term of a sequence less than the immediately preceding term.
The overall worst-case time complexity of the algorithm is O(n).
What is the worst-case time complexity for the algorithm described in exercise 35 of section 3.1?To analyze the worst-case time complexity of the algorithm from exercise 35 of section 3.1, we can follow these steps:
1. Review the algorithm: Recall the algorithm designed in exercise 35, which aims to find the first term of a sequence less than the immediately preceding term.
2. Identify the loop: The main part of the algorithm is a loop that iterates through the sequence of numbers, comparing each term to the previous one.
3. Count the operations: For each iteration of the loop, there are a constant number of operations, such as comparisons and variable assignments.
4. Determine the number of iterations: In the worst-case scenario, the algorithm has to iterate through the entire sequence to find the first term that is less than the immediately preceding term. If the sequence has n elements, the algorithm will have n-1 iterations, since we compare each element with its previous one.
5. Calculate the time complexity: Since each iteration takes a constant amount of time, and there are n-1 iterations in the worst case, the overall worst-case time complexity of the algorithm is O(n). This means that the time complexity grows linearly with the length of the input sequence.
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FIRST ANSWER GETS BRAINLIEST PLEASE HELP THIS TEST IS WORTH 50 PERCENT OF MY GRADE
Answer:
Step-by-step explanation: the BESt is B BECAUSE SHE ASK FOR 8 PRINTING FOR $234 AT AN ESTATE SALE THE SMALLER PAINTING WERE $25 EACH WHILE THE LAGER PAINTING WERE $40
Is the system of equations independent inconsistent or dependent?
An independent system of equations has exactly one solution (x,y) . An inconsistent system has no solution, and a dependent system has an infinite number of solutions.What are the 3 types of system of equations?
There are three types of systems of linear equations in two variables, and three types of solutions.
An independent system has exactly one solution pair. The point where the two lines intersect is the only solution.
An inconsistent system has no solution. ...
A dependent system has infinitely many solutions.