Answer:
the area is 60 square units
Step-by-step explanation:
Area = (base x height) / 2
from class 1 to 2 is 10 units
from class 2 to 3 is 12 units
10 x 12 / 2
10 x 12 = 120
120 / 2 = 60
what is $\frac{0.\overline{72}}{0.\overline{27}}$? express your answer as a common fraction in lowest terms.
The value for $\frac{0.\overline{72}}{0.\overline{27}}$ as a common fraction in lowest terms is 2.666
To convert repeating decimals to fractions, we can use the following method:
Let's call the repeating decimal 0.72... = x, and the repeating decimal 0.27... = y.
Then 10x = 7.2... and 10y = 2.7...
Subtracting the original expressions from the above:
10x - x = 7.2... - 0.72...
=> 9x = 7
=> x = 7/9
And similarly,
10y - y = 2.7... - 0.27...
=> 9y = 2
=> y = 2/9
Therefore,
0.72... / 0.27... = x / y = (7/9) / (2/9) = 7/2 = 3.5
A repeating decimal is a decimal that has a repeating pattern of digits after the decimal point. To convert a repeating decimal to a fraction, we need to identify the repeating pattern and convert it to a fraction. This is done by multiplying both the numerator and denominator by a power of 10 that makes the repeating part an integer.
Then, the resulting fraction can be simplified to its lowest terms. In this case, the repeating decimals 0.72... and 0.27... can be converted to the fractions 7/9 and 2/9 respectively, and dividing the two results in a fraction of 7/2 can be simplified to 3.5.
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The temperature was –15⁰F and decreased by 10⁰ F. Which statement represents the resulting temperature in degrees Fahrenheit?
–15 – (–10) = – 5
–15 – 10 = – 25
15 – (–10) = 25
15 – 10 = 5
The temperature decreased so you would subtract the amount from the original temperature.
The answer would be:
-15 - 10 = -25
PLEASE ANSWER I WILL GIVE BRAINLIEST!!!!! PLEASE ASAP!!
how do you solve for x?
Answer: x = 6
Step-by-step explanation:
m<CAD = m<BAC
m<CAD = 4x
m<CAD + m<BAC = m<BAD
4x + 4x = 10x - 12
8x = 10x - 12
-10x -10x
-2x = -12
x = -12/-2
x = 6
What is 37.5 rounded to the nearest whole number ?
Answer:
38
Step-by-step explanation:
1-4 rounds down so like 37.4 would just be 37 5-9 rounds up to the next number
38 is 37.5 rounded to the nearest whole number
Some basic rules to remember about rounding:1. If the digit to the right of the place you're rounding is greater than 5, increase the number by 1 and change all digits to the right to 0.
2. If the digit to the right of the place you're rounding is less than 5, keep the digit the same and change all digits to the right to 0.
3. If you're rounding 9 up, carry 1 over to the next place to the left. For instance, when rounding 987 to the nearest hundred, you would round up the 9 because 8 is greater than 5. The answer would be 1,000, because you have to carry the 1 over to the left.
37.5 rounded to the nearest whole number ?
If the digit to the right of the place you're rounding is greater than 5, increase the number by 1 and change all digits to the right to 0.
37.5 rounded to the nearest whole number = 38.0
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the half-life of a radioactivity kind of radium is 11 days. if you start with 1,488 grams of it, how much will be left 22 days??
ANSWER
372 grams
EXPLANATION
The half life of the substance is 11 days.
We want to find how much will be left after starting with 1488 grams for 22 days.
To do that, apply the formula for half life:
\(N=N_0(\frac{1}{2})^{\frac{t}{T_{}}}\)where N = amount of substance left
N0 = initial amount of substance
t = amount of time
t1/2 = hlaf life
Therefore, for the given substance, the amount that will be left after 22 days is:
\(\begin{gathered} N=1488\cdot(\frac{1}{2})^{\frac{22}{11}} \\ N=1488\cdot(\frac{1}{2})^2 \\ N=1488\cdot\frac{1}{4} \\ N=372\text{grams} \end{gathered}\)Terells weekly math homework had 50 total problems by Thursday he had completed only 18 problems what percentage of terells homework was completed
Answer:
the math is very important to me because I have to work tomorrow so I can get the kids to bed
Q33 Applications of quadratic functions Homework . Unanswered Katie owns a pretzel stand. Her profit, in dollars, is given by the function P(x) = -x? + 14x + 57, where X is the number of pretzels sold. What is the maximum profit, in dollars, Katie can earn? Type your numeric answer and submit Submit Unanswered. 3 attempts left
The maximum profit Katie can earn is $85.
To find this, we need to use the vertex formula, which gives us the x-coordinate of the vertex of the parabola representing the profit function.
The formula is x = -b/2a, where a is the coefficient of the x-squared term (-1 in this case) and b is the coefficient of the x term (14 in this case). So, x = -14/(2*(-1)) = 7. Plugging this value into the profit function gives us P(7) = -7² + 14(7) + 57 = 85.
The profit function given is a quadratic function, which has a parabolic graph. The vertex of the parabola represents the maximum or minimum point of the function, depending on whether the leading coefficient is negative or positive. In this case, the leading coefficient is negative, so the vertex represents the maximum profit.
To find the x-coordinate of the vertex, we use the formula x = -b/2a, which gives us the value of x that makes the profit function equal to its maximum value. Once we have this value, we plug it back into the profit function to find the corresponding maximum profit. In this case, the maximum profit is $85.
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The maximum profit Katie can earn is $85.
To find this, we need to use the vertex formula, which gives us the x-coordinate of the vertex of the parabola representing the profit function.
The formula is x = -b/2a, where a is the coefficient of the x-squared term (-1 in this case) and b is the coefficient of the x term (14 in this case). So, x = -14/(2*(-1)) = 7. Plugging this value into the profit function gives us P(7) = -7² + 14(7) + 57 = 85.
The profit function given is a quadratic function, which has a parabolic graph. The vertex of the parabola represents the maximum or minimum point of the function, depending on whether the leading coefficient is negative or positive. In this case, the leading coefficient is negative, so the vertex represents the maximum profit.
To find the x-coordinate of the vertex, we use the formula x = -b/2a, which gives us the value of x that makes the profit function equal to its maximum value. Once we have this value, we plug it back into the profit function to find the corresponding maximum profit. In this case, the maximum profit is $85.
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What is the scale factor of the
dilation shown?
Answer:
C 3/2
Step-by-step explanation:
Since triangle PRQ is the original and is getting bigger proportionally (can tell by side lengths) you can eliminate options A and B since you have to multiply by a number/fraction greater than one since it's getting bigger. Then pick a side corresponding to another side of the other triangle. For example, the side length of PQ is 8. Side length P'Q' is 12. You will need to consider how you get from that 8 since it's the original to the 12. To do that you will need to multiply by 1.5 to get to 12. this is what it means by dilation. Since 3/2=1.5 that would be your answer.
What is the slope of a line parallel to the line whose equation is 3x−2y=18. Fully reduce your answer.
Answer:
3/2x
Step-by-step explanation:
-2y = -3x+18
y = 3/2x-9
Answer:
Slope: \(\frac{3}{2}\)
Step-by-step explanation:
3x - 2y = 18
-2y = -3x + 18
y = \(\frac{3}{2}\)x - 9
Slope = \(\frac{3}{2}\)
To get the 10% discount, a shopper must spend at least $300.
Use d to represent the spending (in dollars) of a shopper who gets the discount.
Answer:
d ≥ 300
Step-by-step explanation:
I took the test and it was right! :)
homework help dont help btw.
6-65)
The equation holds true, which means that x = -5 is a correct solution to the equation.The equation does not hold true, which means that x = 4 is an incorrect solution to the equation.
6-66)
a) To represent Eduardo's age, we can write - Eduardo's age = X - 4
b) To represent the number of butterflies Eduardo has, we can write B = 2x + 12
6-67)
a) When x = 0: 3x-2 < 4x+4
b) When x = -6: 3x-2 = 4x+4
c) When x = 5: 3x-2 < 4x+4
d) When x = -2: 3x-2 < 4x+4
6-68)
a. "When you double my number and subtract 9, you get my original number. Victor's number is 9.
b. "When you double my number and add 5, you get 17. Victor's number is 6.
What is the explanation for the above solutions?6-65)
a.
Substituting x = -5 into the equation 5x + 8 = 3x - 2, we get:
5(-5) + 8 = 3(-5) - 2
-17 = -17
The equation holds true, which means that x = -5 is a correct solution to the equation.
b.
Substituting x = 4 into the equation 2(x+1) + 6 = 20 - 3x, we get:
2(4+1) + 6 = 20 - 3(4)
16 = 8
The equation does not hold true, which means that x = 4 is an incorrect solution to the equation.
6-66)
To represent Eduardo's age, let's use the variable "E". Since Andy is 4 years older than Eduardo, we can write:
Andy's age = X
Eduardo's age = X - 4
To represent the number of butterflies Eduardo has, let's use the variable "B", and the number of moths as "x". Since the number of butterflies is 12 more than twice the number of moths, we can write:
B = 2x + 12
6-67)
To evaluate the expressions 3x-2 and 4x + 4 for different values of x, we substitute the value of x into the expression and simplify. Then, we compare the two resulting values using <, >, or =.
When x = 0:
3x-2 = 3(0)-2 = -2
4x+4 = 4(0)+4 = 4
-2 < 4, so 3x-2 < 4x+4
When x = -6:
3x-2 = 3(-6)-2 = -20
4x+4 = 4(-6)+4 = -20
-20 = -20, so 3x-2 = 4x+4
When x = 5:
3x-2 = 3(5)-2 = 13
4x+4 = 4(5)+4 = 24
13 < 24, so 3x-2 < 4x+4
When x = -2:
3x-2 = 3(-2)-2 = -8
4x+4 = 4(-2)+4 = -4
-8 < -4, so 3x-2 < 4x+4
6-68)
a. Let's use the variable "x" to represent Victor's number. From the clue, we know that:
2x - 9 = x
Solving for x, we add 9 to both sides and get:
2x = x + 9
Subtracting x from both sides, we get:
x = 9
Therefore, Victor's number is 9.
b. Let's again use the variable "x" to represent Victor's number. From the clue, we know that:
2x + 5 = 17
Solving for x, we subtract 5 from both sides and get:
2x = 12
Dividing both sides by 2, we get:
x = 6
Therefore, Victor's number is 6.
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PLEASE HELP,, MARKING BRAINLIEST!!!
Choose the similarity statement that best represents the triangles. Provide evidence.
A. Triangles are similar by AA similarity.
B. Triangle are similar by SAS similarity.
C. Triangles are similar by SSS similarity.
D. Triangles are not similar.
Answer: D, these Triangles are not similar.
Step-by-step explanation:
Define a discrete random variable to be the number of evenings that restaurant is fully booked with reservations out of a 30-day month. Which of the following binomial distribution characteristics is most likely not true?
Multiple Choice
Evenings can be assumed to be independent trials.
Each evening is a trial with two outcomes: fully booked or not fully booked.
Each evening has the same probability of being fully booked.
The number of trails is fixed.
The binomial distribution characteristic that each evening has the same probability of being fully booked is most likely not accurate when defining a discrete random variable as the number of evenings that a restaurant is fully booked with reservations out of a 30-day month.
What is binomial distribution?
A binomial distribution is a discrete probability distribution used to calculate the probability of an event occurring a certain number of times over a specified number of trials when the event only has two possible outcomes. A binomial distribution's key components include the number of trials, the probability of success, and the number of successful results.
A binomial distribution has the following characteristics:
Each trial is independent.
Two outcomes are possible per trial (success or failure).
The likelihood of success on any given trial is constant.
The number of trials is constant.
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Which expression is equivalent to \frac{r^9}{r^3}
Answer:
\(\sf r^6\)
Step-by-step explanation:
Exponent law:\(\boxed{\bf \dfrac{a^m}{a^n}=a^{m-n}}\)
In exponent division, if bases are same, subtract the powers.
\(\sf \dfrac{r^9}{r^3}=r^{9-3}=r^{6}\)
if two tables have a one-to-many relationship, which of the following do you typically need to add to the table on the "many" side?
When two tables have a one-to-many relationship, you typically need to add a foreign key to the table on the "many" side to link the records to the corresponding record in the "one" table.
In a one-to-many relationship, the table on the "one" side is usually the primary key table, and the table on the "many" side is usually the foreign key table. The foreign key is used to link the records in the "many" table to the corresponding record in the "one" table. This is done by adding a column to the "many" table that contains the primary key value from the "one" table.
When designing a database, it is important to establish relationships between tables to ensure data integrity and avoid redundant data. In a one-to-many relationship, one record in the primary key table can be associated with many records in the foreign key table. To establish a one-to-many relationship, you need to create a primary key in the "one" table and a foreign key in the "many" table. The foreign key is a column that contains the primary key value from the "one" table. For example, if you have a "customers" table and an "orders" table, the "customers" table would be the primary key table and the "orders" table would be the foreign key table. Each record in the "orders" table would have a foreign key column that contains the customer ID from the "customers" table.
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WILL GIVE BRAINLIEST The mass of a substance, which follows a continuous exponential growth model, is being studied in a lab. A sample increases continuously at a relative rate of 7% per day. Find the mass of the sample after four days if there were 123 grams of the substance present at the beginning of the study.
Do not round any intermediate computations, and round your answer to the nearest tenth.
Then we know that we originally had 38 grams of the substance, the rate of growth is 18%, and that the time it was allowed to grow is 6 days. Then we have using the exponential growth model that the amount of the sample after 6 days will be S = P e^rt where P is the initial sample amount, r is the rate of growth, t is the time, and S is the final sample amount. S = 38 e^ .18*6 = 38 e ^ 1.08 = 111.8978 Thus if there were 38 grams of the substance present at the beginning of the study the mass of the sample would be 111.8978 grams after the study.
Plz I need help will rate 5 stars
Answer:
The answer is :
8
.......
which of the following method returns the sine of 90 degree?
The correct method to return the sine of 90 degrees is Math.sin(90). The Math.sin() method accepts the angle in radians as its parameter and returns the sine value of that angle. Thus, option B is correct.
In Java, the Math class provides various mathematical functions, including trigonometric functions like sine (sin). Option A, Math.sine(90), is incorrect because there is no method named "sine" in the Math class. The correct name is "sin".
Option C, Math.sin(PI), is incorrect because the constant PI is the value of pi in radians, not in degrees. Since the parameter of the Math.sin() method should be in radians, passing PI as the argument will give the sine of pi radians, not 90 degrees.
Option D, Math.sin(Math.toRadians(90)), is incorrect because the radians () method converts an angle in degrees to radians. So, Math.toRadians(90) would give the value of pi/2 in radians, not 90 degrees.
Option E, Math.sin(Math.PI), is also incorrect for the same reason as option C. Math.PI represents the value of pi in radians, not in degrees.
In conclusion, the correct method to return the sine of 90 degrees in Java is Math.sin(90), which takes the angle in degrees as its parameter. Thus, option B is correct.
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Complete Question:
Which of the following method returns the sine of 90 degree?
A. Math.sine(90)
B. Math.sin(90)
C. Math.sin(PI)
D. Math.sin(Math.toRadian(90))
E. Math.sin(Math.PI)
Find the height of a triangle that had area of 30sqaure deer units and a base measuring 12units
Answer:
h = 5 units
Step-by-step explanation:
Step 1: Plug in known variables into formula
A = 1/2bh
30 = 1/2(12)h
Step 2: Multiply both sides by 2 (To get rid of fraction)
60 = 12h
Step 3: Divide both sides by 12
h = 5
Answer: 5 units
Step-by-step explanation:
30 devided by 12 then multiply that by 2
Matthew was modeling an activity to the class. In a brown paper bag, he had 3 red marbles, 2 blue, and 5 green marbles. What is the probability of Matthew choosing a red marble, NOT replacing the marble, and then selecting a blue marble from the bag?
Problema de capacidades Una empresa aceitera ha envasado 3000 litros de aceite en 1200 botellas de dos y de cinco litros. ¿Cuántas botellas de cada clase se han utilizado?
Answer:
Hay 200 botellas de 5 litros y 1000 botellas de 2 litros.
Step-by-step explanation:
Un sistema de ecuaciones lineales es un conjunto de dos o más ecuaciones de primer grado, en el cual se relacionan dos o más incógnitas.
Resolver un sistema de ecuaciones consiste en encontrar el valor de cada incógnita para que se cumplan todas las ecuaciones del sistema.
En este caso, las variables a calcular son:
x= cantidad de botellas de 2 litros.y= cantidad de botellas de 5 litros.Una empresa aceitera ha envasado 3000 litros de aceite en 1200 botellas de dos y de cinco litros. Entonces es posible plantear el siguiente sistema de ecuaciones:
\(\left \{ {{2*x+5*y=3000} \atop {x+y=1200}} \right.\)
Existen varios métodos para resolver un sistema de ecuaciones. Resolviendo por el método de sustitución, que consiste en despejar o aislar una de las incógnitas y sustituir su expresión en la otra ecuación, despejas x de la segunda ecuación:
x= 1200 - y
Sustituyendo la expresión en la primer ecuación:
2*(1200 - y) + 5*y=3000
Resolviendo se obtiene:
2*1200 - 2*y + 5*y= 3000
2400 +3*y= 3000
3*y= 3000 - 2400
3*y= 600
y= 600÷3
y= 200
Reemplazando en la expresión x= 1200 - y:
x= 1200 - y
x=1200 -200
x= 1000
Hay 200 botellas de 5 litros y 1000 botellas de 2 litros.
Is the following a graph of a function yes or no why
Answer:
No
Step-by-step explanation:
Here is a trick... To use the vertical line test, take a ruler or other straight edge and draw a line parallel to the y-axis for any chosen value of x. If the vertical line you drew intersects the graph more than once for any value of x then the graph is not the graph of a function.
Your graph has an S and the line would go through it 2 times.
Make up a differential equation that does not possess any real solutions.
Answer:
with f(x,y)=1 if at least one of x, y is irrational and =0 otherwise. Such a differential equation will have no solution, I guess.
Mitchell needs to buy some wood to build a rectangular box that is 12 inches
long, 8 inches wide, and 10 inches high. A net of the box is shown. How many square inches of wood would Mitchel need to build the box
Answer:
592 Square inches
Step-by-step explanation:
We solve the above question by calculating the surface area of the rectangular box
A =2(wl + hl + hw)
w = Width = 8 inches
l = Length = 12 inches
h = Height = 10 inches
The square inches of wood would Mitchel need to build the box is calculated as:
Surface Area = 2 × (8 × 12 + 10 × 12 + 10 × 8) = 592 Square inches
a machine has a record of producing 80% excellent, 16% good, and 4% unacceptable parts. after extensive re- pairs, a sample of 200 produced 157 excellent, 42 good, and 1 unacceptable part. have the repairs changed the nature of the output of the machine?
The repairs have indeed changed the nature of the output of the machine, with an overall improvement in the quality of the parts produced.
To determine if the repairs have changed the nature of the output of the machine, we can compare the percentages of excellent, good, and unacceptable parts before and after the repairs.
Before repairs:
- 80% excellent
- 16% good
- 4% unacceptable
After repairs, we can calculate the percentages based on the sample of 200 parts:
- 157 excellent parts: (157/200) * 100 = 78.5% excellent
- 42 good parts: (42/200) * 100 = 21% good
- 1 unacceptable part: (1/200) * 100 = 0.5% unacceptable
Comparing these percentages, we can see that the output has changed after the repairs:
- Excellent parts decreased from 80% to 78.5%
- Good parts increased from 16% to 21%
- Unacceptable parts decreased from 4% to 0.5%
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Who dies in chapter 8 of Animal Farm?
In the eighth chapter of Animal Farm the horse named Boxer died due to overwork and fatigue.
Boxer was a hard working horse who lived by two mottos which were "Napoleon is always right" and "I should work harder". His fellow mare Clover warned him many times that he shouldn't overwork himself as he is not young anymore but Boxer never listened.
After he died he was sent to the butcher's store to be slaughtered but was told to the other animals that he died at a hospital and now is resting in peace. He was a true inspiration for the other animals at farm.
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!!PLEASE HELPPP!! CHECK IF IM RIGHTTT
Answer:
You are correct
Step-by-step explanation:
Suppose Marcus draws GG'? What is the length of GG'?
Answer:
gg
Step-by-step explanation:
ggxgg=gggg
A map has a scale of cm to 5 m. Two cities or 45 m away. How far apart are they on the map
if the two cities are 45 meters apart in reality, they would be represented as 5 centimeters apart on the map.
The given scale on the map is "cm to 5 m." This means that every centimeter on the map represents 5 meters in reality.
We are told that the two cities are 45 meters apart in reality. To find out how far apart they are on the map, we need to determine the equivalent distance in centimeters.
Since every centimeter on the map represents 5 meters, we can set up a proportion to find the distance on the map:
(cm on the map) / (5 m in reality) = (x cm on the map) / (45 m in reality)
By cross-multiplying and solving for x, we get:
x cm on the map = (cm on the map) * (45 m in reality) / (5 m in reality)
Simplifying the expression, we have:
x cm on the map = 9 * (cm on the map)
This means that every centimeter on the map represents 9 meters in reality.
Therefore, if the two cities are 45 meters apart in reality, they would be represented as 5 centimeters apart on the map.
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