Answer:
Below.
Step-by-step explanation:
The GCF of 9 , 27 and 45 = 9.
GCF of the d terms is d^2.
So the GCF of the whole expression is 9d^2.
Factors are 9d^2( 1 - 3d^3 + 5d)
Suppose that tuition at a state college was $3,500 per year in 1995 and has been increasing at a rate of $225 per year. Write an equation to model the cost of tuition as a function of time. Use that equation to predict the cost of tuition in the year 2007.
Answer:
$7384.94Step-by-step explanation:
step one:
let us calculate the percentage increase
(225/2)*100
=0.06428*100
=6.42%
We know that the expression for exponential formula is
\(y = ab^x.\)
where
a = the amount before measuring growth or decay
= $3500
r = decay rate = 6.42%= 0.0642
x = number of time intervals that have passed that is between 1995 and 2007= 12years
since this problem is on groth we are going to replace "b" with (1+r),
hence the formula to model the cost is
\(y = a(1+r)^x.\)
\(y=3500(1+0.0642)^1^2 \\\\y=3500(1.0642)^1^2 \\\\y=3500*2.109983 \\\\y=7384.94\)
The cost of tuition in the year 2007 (12 years later) would be
$7384.94
In the month of February I spent 37.45 on coffee and a mug.... How many refills did I get?
8.95 +1.50r= Total
Someone help ASAP!
waht is this plz help
Answer:
The answer is 10 and 37 degrees.
Step-by-step explanation:
Triangle angles add up to 180.
I hope this helped and if it did I would appreciate it if you marked me Brainliest. thank you and have a nice day!
The statement below is a different way to say that the sides of these similar parallelograms are proportional.
Complete the equations that go with the statement.
The correct statement is \(\frac{a}{b}\) = \(\frac{t}{s}\) , \(\frac{b}{c}\) = \(\frac{s}{r}\) , \(\frac{c}{d}\) = \(\frac{r}{q}\).
What is Parallelogram?Parallelogram is a type of polygon with four sides, four angles and four vertices. It is a type of Quadrilateral.
Opposite sides are parallel, and the opposite sides and opposite angles are equal.
Similar figures are those figures whose ratio of the length of sides are proportional.
Similar figures only differ in size, their shape is equal.
The sides a, b, c and d in the larger parallelogram is similar to the sides t, s, r and q respectively in the smaller parallelogram.
So we get the ratio b / c equal to the ratio s / r and the ratio c / d equal to the ratio r / q.
Hence the equation that go with the statement two sides of a parallelogram have the same ratio as the corresponding two sides of a parallelogram is \(\frac{a}{b}\) = \(\frac{t}{s}\) , \(\frac{b}{c}\) = \(\frac{s}{r}\) , \(\frac{c}{d}\) = \(\frac{r}{q}\).
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Answer:The first one is 16 and the second one is 18
Step-by-step explanation:
answer -3(9+3)*2/2*2-(-2)
Answer:
-70
Step-by-step explanation:
4 – 3[4 –2(6 – 3)] ÷ 2
4 – 3[4 – 2(3)] ÷ 2
4 – 3[4 – 6] ÷ 2
4 – 3[–2] ÷ 2
4 + 6 ÷ 2
4 + 3
7
Hope I helped!
∠1 and ∠ 2 are vertical angles. If m∠1 = (6x + 11)° and m∠2 = (10x – 9)°, find m∠1. *
Answer:
the answer is 41
Step-by-step explanation:
set both equations equal to each other
then add 9 to the opposite side
next subtract 6 from the other side
divide 20 by 4 and get 5
finally plug 5 into the equation for x for angle 1
which leaves you at the end with 41
Please I NEED HELP ASAP FOR 10 POINTS PLEASE ASPA HELP MEE QUESTION #8
Answer:
For the top row, 3 and 4, respectively
For the bottom row, 60 and 150, respectively
Step-by-step explanation:
w increases by 1 every time and d increases by 30
Answer:
for 2 weeks it is $60 and for $90 dollars its 3 weeks and for $120 is 4 weeks and for 5 weeks its $150.
Step-by-step explanation:
She gets payed $30 every week since 1 week=30 that means its adding 30 dollars each week.
The bicycle repair shop charged Devontae $34
plus a 25% labor fee. How much did Devontae
have to pay?
Answer: $42.4 dollars
Step-by-step explanation: PLZ PLZ PLZ MARK BRAINLIEST
A class has 30 students. 10 students take the bus. What percentage of students take the bus?
Answer:
33.3%
Step-by-step explanation:
10/ 30= 0.3(3 would be a reoccurring decimal)
0.3*100=33.3
10% of students take the bus
For each club (in alphabetic order) compute the total number of teams enrolled. For each division in the current season compute the total number of teams playing. For each coach (in alphabetic order) compute the total numbers of games. For each location (in alphabetic order) compute the number of games.
To compute the total number of teams enrolled for each club in alphabetical order, you need to gather the information of all the clubs and count the number of teams enrolled for each club.
1. Create a list of all the clubs in alphabetical order.
2. Iterate through the list of clubs.
3. For each club, gather the information about the teams enrolled.
4. Count the number of teams enrolled for each club.
5. Repeat this process for all the clubs.
6. Once you have the total number of teams enrolled for each club, you can organize the results in alphabetical order.
To compute the total number of teams playing in each division in the current season, you need to gather the information of all the divisions and count the number of teams playing in each division.
1. Create a list of all the divisions in the current season.
2. Iterate through the list of divisions.
3. For each division, gather the information about the teams playing.
4. Count the number of teams playing in each division.
5. Repeat this process for all the divisions.
6. Once you have the total number of teams playing in each division, you can organize the results.
To compute the total number of games for each coach in alphabetical order, you need to gather the information of all the coaches and count the number of games for each coach.
1. Create a list of all the coaches in alphabetical order.
2. Iterate through the list of coaches.
3. For each coach, gather the information about the number of games they have coached.
4. Count the number of games for each coach.
5. Repeat this process for all the coaches.
6. Once you have the total number of games for each coach, you can organize the results in alphabetical order.
To compute the number of games for each location in alphabetical order, you need to gather the information of all the locations and count the number of games played at each location.
1. Create a list of all the locations in alphabetical order.
2. Iterate through the list of locations.
3. For each location, gather the information about the games played at that location.
4. Count the number of games played at each location.
5. Repeat this process for all the locations.
6. Once you have the number of games for each location, you can organize the results in alphabetical order.
In conclusion, to compute the total number of teams enrolled for each club, the total number of teams playing in each division, the total number of games for each coach, and the number of games for each location, you need to gather the relevant information and count accordingly.
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Pls help its the last question
Answer:
I believe the answer is -60
Step-by-step explanation:
Please answer , with work . Thank you !
if 5x – 5x – 3 = (124)(5y), what is y in terms of x ?
according to question So, y in terms of x is:
y = -3 / (124)(5x - 5x - 3)
Assuming the equation is 5x – 5x – 3 = (124)(5y), the left-hand side simplifies to:
0 - 3 = -3
Therefore, we have:
-3 = (124)(5y)
Solving for y, we get:
y = -3 / (124)(5)
y = -3 / 620
what is equation?
An equation is a mathematical statement that shows that two expressions are equal. It typically includes variables, constants, and mathematical operations such as addition, subtraction, multiplication, division, exponents, and logarithms. Equations can be linear or nonlinear, and they can have one or multiple variables. The solutions to an equation are the values of the variables that make the equation true.
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Tasha plants seeds in clay pots. She has 40 seeds to plant. She plants 6 seeds in each pot. How many seeds does Tasha have left over?
she would have four seeds left because 6 seeds times six pots would equal 36 seeds so subtract 36 from forty to get four
Step-by-step explanation:
Answer:4
Step-by-step explanation:6x6=36+4=40
Question
An account earns simple interest.
$700 at 8% for 6 years
a. Find the interest earned.
$
b. Find the balance of the account.
$
Answer:
1036. this is easy.
Step-by-step explanation:
700 * 0.08 = 56
56 * 6 = 336.
700 + 336 = 1036.
Joey is measuring the amount of time it takes for a frisbee to fly through the air he uses a stopwatch to time it and find that it takes 4.82 seconds if it actually takes 5.05 seconds then what is the percent error in Joey's measurement to the nearest 10th of a percent
Answer:percent error in Joey's measurement to the nearest 10th of a percent =- 4.6%
Step-by-step explanation:
Step 1
Time as recorded by the stopwatch = 4.82 seconds
Real Time it takes for a Frisbee to fly through the air =5.05 seconds
percent error = Measured value – True Value /True value x 100.
= 4.82 - 5.05 / 5.05 x 100
=-0.23/5.05
=-0.0455 x 100
=4.5544%
Rounding to nearest 10th of a percent = - 4.6%
PLEASEE HELP ASAP!! 50 POINTS!
Select the correct answer. The graph of function f is shown. If g(x) = -2f(x), which graph is the graph of function g?
The graph of function f is shown. If g(x) = -2f(x), which graph is the graph of function g is show on the attachment
What is a graph?Note that the new function, g(x), provides a value for y that is -2 times the value returned by f(x). That means that for the same value of x, the resulting value of g(x) will be -2 times that provided by f(x).
See the attached image. The table shows how the values of y change for each value of x used in the respective function. Plot those new values to produce the graph.
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seven less than the quotient of nineteen and 2
Answer:
19x2-7
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what is the coefficient of x8y9 in the expansion of (3x 2y)17?
The coefficient of x⁸y⁹ in the expansion of (3x + 2y)¹⁷ is 646,646,250.
To find the coefficient, we can use the binomial theorem. The expansion of (3x + 2y)¹⁷ can be written as:
(3x + 2y)¹⁷ = C(17, 8)(3x)⁸(2y)⁹
where C(n, k) represents the binomial coefficient.
The binomial coefficient C(17, 8) can be calculated as:
C(17, 8) = 17! / (8! * (17 - 8)!) = 17! / (8! * 9!)
Simplifying further, we have:
C(17, 8) = (17 * 16 * 15 * 14 * 13 * 12 * 11 * 10) / (8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) = 24310
Therefore, the coefficient of x⁸y⁹ is:
646,646,250 = 24310 * (3)⁸ * (2)⁹
Hence, the coefficient of x⁸y⁹ in the expansion of (3x + 2y)¹⁷ is 646,646,250.
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Miguel started an exercise program that has him swim 8 laps each day during the first week. Each week he adds 2 laps to his routine. In which week will he swim 20 laps each day?
Solve each proportion.
5. y/4 = 10/8
6. 2/x = 30/-6
7. 3/12 = -24/m
8. 3t/10 = 1/2
9. 32/4 = b+4/3
10. 7/x = 1/0.5
Answer:
y=5
x= -2/5
m= -96
t= 5/3
b= 20/3
x=3.5
The distance between two towns is 120 kilometers. There are approximately 8 kilometers in 5 miles.
Which measurement is closest to the number of miles between these two towns?
Answer:
The distance between the two towns is 75 miles.
Step-by-step explanation:
120*5/8 = 75
the scores of individual students on the american college testing (act) program composite college entrance examination have a normal distribution with mean 18.6 and standard deviation 6.0. forty-nine randomly selected seniors take the act test. what is the probability that their mean score is greater than 20? round your answer to 4 decimal places.
The probability that the mean score of the 49 seniors is greater than 20 is 0.0516. To solve this problem, we need to use the central limit theorem, which states that the distribution of sample means from a population with any distribution will approach a normal distribution as the sample size increases.
First, we need to find the standard error of the mean (SEM), which is the standard deviation of the sampling distribution of the mean. We can use the formula SEM = σ / √n, where σ is the population standard deviation, and n is the sample size.
In this case, σ = 6.0 and n = 49, so SEM = 6.0 / √49 = 0.857.
Next, we need to standardize the sample mean using the z-score formula: z = (x - μ) / SEM, where x is the sample mean, μ is the population mean, and SEM is the standard error of the mean.
In this case, x = 20, μ = 18.6, and SEM = 0.857, so z = (20 - 18.6) / 0.857 = 1.63.
Finally, we need to find the probability that a standard normal distribution is greater than 1.63, which is 0.0516 when rounded to 4 decimal places.
Therefore, the probability that the mean score of the 49 seniors is greater than 20 is 0.0516.
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What is the circumference of the circle? Use 3.14 for Pi. A circle with radius 6.4 centimeters. 20.096 cm 40.192 cm 200.96 cm 401.92 cm
Answer: 40.192 cm
Step-by-step explanation:
the formula for circumference is \(2\pi r\)
In this case we are using 3.14 for pi and the radius is 6.4
\((2)(3.14)(6.4)\\(6.28)(6.4)\\40.192\)
Answer:
B. 40.192 cm
Step-by-step explanation:
Edge 2021
For the system shown below, what is the value of z?
The value of z on the system of equations is given as follows:
D. 4.
How to obtain the value of z?The system of equations in the context of this problem is defined as follows:
y = -2x + 14.3x - 4z = 2.3x - y = 16.Replacing the first equation into the third equation, the value of x is obtained as follows:
3x - (-2x + 14) = 16
3x + 2x - 14 = 16
5x = 30
x = 6.
Replacing x = 6 onto the second equation, the value of z is obtained as follows:
3(6) - 4z = 2
18 - 4z = 2
4z = 16
z = 4.
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ITS SCIENCE BUT I HAVE TO GET THIS DONE how can it help when one type of food decrease and the other increases
Answer:
What are the benefits of completely changing the food?
Adopting new, healthier habits may protect you from serious health problems like obesity and diabetes. New habits, like healthy eating and regular physical activity, may also help you manage your weight and have more energy. After a while, if you stick with these changes, they may become part of your daily routine.
Step-by-step explanation:
Complete the square to rewrite y = x^2 - 6x + 2 in vertex form. then state whether the vertex is a maximum or minimum and give its coordinates. a. maximum at (-3 , -7) b. minimum at (-3 , -7) c. maximum at (3, -7) d. minimum at (3, -7)
The vertex form of the quadratic equation \(\(y = x^2 - 6x + 2\) is \(y = (x - 3)^2 - 7\)\) represents a minimum at \(\((3, -7)\)\).
To rewrite the quadratic equation \(\(y = x^2 - 6x + 2\)\) in vertex form, we complete the square by adding and subtracting the appropriate constant term.
Starting with \(\(y = x^2 - 6x + 2\)\), we proceed as follows:
\(\[y = (x^2 - 6x) + 2\]\)
Now, we complete the square by adding the square of half the coefficient of \(\(x\)\) to both sides:
\(\[y = (x^2 - 6x + 9) - 9 + 2\]\)
Simplifying further:
\(\[y = (x^2 - 6x + 9) - 7\]\)
The expression inside the parentheses can be rewritten as a perfect square:
\(\[y = (x - 3)^2 - 7\]\)
Now we have the equation in vertex form, which is \(\(y = a(x - h)^2 + k\)\), where \(\((h, k)\)\) represents the vertex of the parabola.
Comparing the equation to the vertex form, we can identify where the vertex is at \(\((h, k) = (3, -7)\)\).
Therefore, the correct answer is:
b. minimum at \(\((-3, -7)\)\)
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Jeremy is going to roll a fair 666-sided die 180180180 times. What is the best prediction for the number of times that jeremy will roll a number greater than 444?.
The best prediction would be that Jeremy will roll a number greater than 444 approximately one third of the time. This would be approximately 605360600 times.
How come probability is a theory?The study of random events is the focus of probability theory, a subfield of mathematics. It is impossible to predict the outcome of a random event before it happens, although it could take any of numerous different forms. It is believed that chance played a role in how things turned out.
What draws us to study probability?Information on possibility of occurrence is provided by probability. For instance, meteorologists can forecast the likelihood of rain by looking at weather patterns. Probability theory is utilized in epidemiology to comprehend how exposures and the risk of health impacts are related.
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A grain silo is built from two right circular cones and a right circular cylinder with internal measurements represented by the figure above. Of the following, which is closest to the volume of the grain silo, in cubic feet?
A) 261.8
B) 785.4
C) 916.3
D) 1047.2
Important notice:
/\2 = Power 2
Answer:
D. 1,047.2
Step-by-step explanation:
The volume of the grain silo can be found by adding the volumes of all the solids of which it is composed.
The silo is made up of a cylinder with the height of 10 feet and base radius of 5 feet and two cones, each having the height of 5 feet and base radius of 5 feet.
The formulas volume of cylinder πr /\2 h and volume of cone 1/3 πr/\2h can be used to determine the tatol volume of the silo.
Since the two cones have identical dimensions, the total volume, in cubic feet, of the silo is:
V = π(5)/\2 (10) + (2) ( 1/3) π(5) /\2 (5)
= ( 4/3 ) (250)π
= 1,047.2 cubic feet.
Find the value of 2cosx+1=0;0 less than x less than 360°
Answer:
120°; 240°
Step-by-step explanation:
Let's first solve for \(cosx\): \(2cosx=-1 \rightarrow cosx=-\frac12\) At this point it's just a matter of drawing a circle, and mark where the angle is(please excuse my paint skills, but free hand drawing would be even worse). Red line, is \(-\frac12\) on the cosines, and both the green and blue lines are valid solutions. The green line is a quarter of a circle, plus 30°, or 120°. The blue one is 3/4 of a circle, minus 30 degrees, or 240°.