What is 1-1/4 divided by 2/5 as fraction answer. Thanks
The Patels took out a 15-year mortgage. How many monthly payments will they have to make on this mortgage?
Answer:
180
Step-by-step explanation:
A 15-year mortgage requires 180 monthly payments.
The Patels took out a 15-year mortgage. To determine the number of monthly payments, we need to consider the total number of payments over 15 years. Since there are 12 months in a year, the number of monthly payments for a 15-year mortgage would be: 15 years x 12 months = 180 monthly payments.
Shawna packs blocks at the ABC blocks factory. She packs thousands in crates and tens in stacks. How can she pack an order for 1,250 blocks using just crates and stacks?
Shawna can pack an order of 1,250 blocks using 1 crate for the thousands and 25 stacks for the tens.
To pack 1,250 blocks using crates and stacks, we need to break down the total number of blocks into thousands and tens:
Step 1: Determine the number of crates (each crate holds 1,000 blocks). 1,250 blocks divided by 1,000 equals 1 crate (1,000 blocks).Step 2: Subtract the blocks already packed in crates: 1,250 - 1,000 = 250 blocks.Step 3: Determine the number of stacks (each stack holds 10 blocks). 250 blocks divided by 10 equals 25 stacks (250 blocks).Therefore, Shawna can pack the order with 1 crate and 25 stacks.Find three angles, two positive and one negative, that are coterminal with the given angle: −5π18.
a.−13π18,13π18,31π18
b.−41π18,31π18,67π18
c.−23π18,13π18,31π18
d.−23π18,31π18,67π18
e.−41π18,13π18,67π18 f) none of the above.
To find the coterminal angles with -5π/18, we have to add or subtract multiples of 2π. By doing so, we find out that the coterminal angles are −23π/18, 13π/18, and -41π/18. So, the correct option is c.
Explanation:To find angles that are coterminal with a given angle, we have to add or subtract multiples of 2π. This is because a full rotation around the unit circle is 2π radians. Angles that differ by an exact multiple of 2π radians are considered as coterminal.
Therefore, we can get the coterminal angles of −5π/18 by adding and subtracting multiples of 2π. This gives us the angles, −23π/18 and 13π/18 (for positive angles) and −41π/18 (for a negative angle). Thus, the option (c) −23π/18, 13π/18, 31π/18 is correct.
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A marathon is 26 miles 385 yards long. That is about 1.4 times 10 to the 5th power feet. How many feet long is half a marathon?
Answer:
Length of half marathon = 7 x 10⁴ feet
Step-by-step explanation:
Length of marathon is given as 1.4 x 10⁵ feet
Length of full marathon = 1.4 x 10⁵ feet
Length of half marathon is half the length of full marathon.
[tex]\texttt{Length of half marathon = }\frac{\texttt{Length of full marathon}}{2}\\\\\texttt{Length of half marathon = }\frac{1.4\times 10^5}{2}=0.7\times 10^5\\\\\texttt{Length of half marathon = }7\times 10^4feet[/tex]
Length of half marathon = 7 x 10⁴ feet
I need you to walk me through how you got the answer to 298÷4
Barbara, Mark, and Carlos participated in the third heat of “The Big Race”. Barbara thought she could win with a 3 meter head start even though she only pedaled 3 meters every 2 seconds. Mark began at the starting line and finished the 20-meter race in 5 seconds. Meanwhile, Carlos rode his tricycle so that his distance (y) from the starting line in meters could be represented by the equation y = x + 1, where x represents time in seconds. Who would win in a 20 meter race?
In a 20 meter race, Mark would win.
Explanation:In a 20 meter race, Mark would win. Mark finished the race in 5 seconds, while Barbara took 2 seconds to pedal every 3 meters. Carlos' distance from the starting line can be represented by the equation y = x + 1, where x is the time in seconds. When x = 5, Carlos' distance would be 5 + 1 = 6 meters, which is less than 20 meters.
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Shelby has ten $5 bills and thirteen $10 bills.
How much money does Shelby have in all
what is (16/7) (4/9) (7/16) (9/4) (4/7) in simplest form?
This is the corporation who, since 1912, has worked to promote trust between consumers and sellers by collecting and publishing information related to the marketplace.
Use the upper and lower sums to approximate the area of the region using the given number of subintervals (of equal width)
y=sqrt(1-x^2)
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I was able to find the upper sum, which was 0.895, but I cannot find the lower sum. I have gotten 0.824 and 0.659 as answers, but neither are considered correct.
To find the lower sum, divide the interval into subintervals, evaluate the function at the left endpoint of each subinterval, and sum up the areas of the rectangles with those minimum values as heights.
Explanation:To approximate the area of the region using lower sums, we need to calculate the lower sum by dividing the interval into subintervals of equal width, finding the minimum value of each subinterval, and summing up the areas of the rectangles with those minimum values as heights.
In this case, we have the function y = sqrt(1-x^2). Let's say we divide the interval into n subintervals. The width of each subinterval would be (b-a)/n, where a and b are the lower and upper limits of the interval.
To find the minimum value of each subinterval, we can evaluate the function at the left endpoint of each subinterval. Let's call these points x1, x2, x3,..., xn. Then, the lower sum is given by: Lower Sum = (b-a)/n * (f(x1) + f(x2) + f(x3) + ... + f(xn)).
To check if the lower sums you calculated are correct, make sure you are using the left endpoints of the subintervals and that the calculation is accurate.
I don’t get it
Pls help me
Expand and simplify 6(2x-3)-2(2x+1)
The value of x is 5/2 for expression 6(2x-3)-2(2x+1)
What is Expression?An expression is combination of variables, numbers and operators.
The given expression is 6(2x-3)-2(2x+1)
By applying distributive property we can simplify this.
x is the variable, plus and minus is the operators.
6(2x-3)-2(2x+1)
12x-18-4x-2
Add the terms with variable x
12x-4x-18-2
8x-20
8x=20
Divide both sides by 8
x=20/8
x=5/2
Hence, the value of x is 5/2 for expression 6(2x-3)-2(2x+1)
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At 6:00 A.M. the temperature was 33°F. By noon the temperature had increased by 10°F and by 3:00 P.M. it had increased another 12°F. If at 10:00 P.M. the temperature had decreased by 15°F, how much does the temperature need to rise or fall to return to the original temperature of 33°F?
Answer:
Fall 7°F
Step-by-step explanation:
What is approximation of pi
The flying time of a drone airplane has a normal distribution with mean 4.76 hours and standard deviation of .04 hours. what is the probability that the drone will fly less than 4.66 hours?
To find the probability that the drone will fly less than 4.66 hours, calculate the z-score and look up the corresponding probability in the standard normal distribution. A z-score of -2.5 indicates a probability of about 0.62%.
Explanation:To calculate the probability that the drone will fly less than 4.66 hours, we need to convert the flight time of 4.66 hours into a z-score. The z-score represents how many standard deviations an element is from the mean.
The formula to calculate the z-score is:
Z = (X - μ) / σ
Where:
X = Value we're interested in (4.66 hours)
μ = Mean (4.76 hours)
σ = Standard deviation (0.04 hours)
Calculating the z-score:
Z = (4.66 - 4.76) / 0.04 = -2.5
Now, we look up the z-score in the standard normal distribution table or use a calculator to find the probability to the left of that z-score, which gives us the probability that the drone will fly less than 4.66 hours. Typically, a z-score of -2.5 corresponds to a probability of approximately 0.0062 or 0.62%.
Therefore, the probability that the drone will fly less than 4.66 hours is about 0.62%.
A sample of n = 9 scores is randomly selected from a population with m = 80 and s = 9. if the sample mean is m = 83, then the corresponding z-score is z = +3.00.
a. True
b. False
The statement "a sample of n = 9 scores is randomly selected from a population with m = 80 and s = 9 is false.
What is a normal distribution?It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.
It is given that:
A sample of n = 9 scores is randomly selected from a population with m = 80 and s = 9.
As we know,
Z = (x - u)/s
Z = 3
x = 83
s = 9
3 = (83 - u)/9
27 = 83 - u
u = 83 - 27 = 56
Thus, the statement "a sample of n = 9 scores is randomly selected from a population with m = 80 and s = 9 is false.
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Millie has a box of 100 cubes she also has a bag of 70 cubes how many trains of 10 cubes can she make
The graph shows the quantity of each piece in a toy building kit. One piece is missing. What is the probability that the missing piece is a red piece with four holes?
Answer:
2/35
Step-by-step explanation:
The only way we can solve this problem is to assume that the given complement of pieces is of a full kit before one went missing. The total number of pieces in the kit is ...
... 9 + 8 + 12 + 6 = 35
Of those, 2 are red with four holes. Thus the probability that a randomly chosen piece is red with 4 holes is 2 out of 35, or 2/35.
____
If this is the kit contents after the piece went missing, we have no way of knowing the color or hole count of the missing piece. If the kit is supposed to contain 13 blue pieces, for example, then the probability is zero that the missing piece is red.
The probability of a specific event is determined by dividing the number of ways this event can occur by the total number of possible outcomes. In this case, the probability of selecting a red piece with four holes from the toy building kit is the ratio of the quantity of four-holed red pieces to the total quantity of pieces in the kit.
Explanation:The question refers to the probability of a specific event in a set of outcomes related to a toy building kit. In this case, the event is selecting a red piece with four holes. Probability can be defined mathematically as (Number of ways event can occur)/(Total number of outcomes). Specifically, in your case, you would calculate the number of four-holed red pieces within the whole toy building kit. Divide that by the total number of pieces in the entire kit, including the missing one.
Using an example with different objects for clarity, consider if there are 10 pieces in the set, and 3 of them are four-holed red pieces, the probability of the selected piece being a four-holed red piece would be 3/10 or 0.3 (once converted to decimal form). This method can now be applied to your toy building set once you identify the total number of pieces in the set and the number of these that are four-holed red pieces.
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Express the greatest common divisor as a linear combination of these integers
Describe a pattern you see 10, 15, 20, 25, 30
A treasury has 500 7-ounce weights, 500 11-ounce weights, and a balance. a foreign dignitary arrives with a gold bar, claiming it to weigh 500 ounces. can the treasury determine whether the dignitary is telling the truth? if so, how?
Yes the treasury can determine whether the gold bar is really weighing 500 ounces.
We can use the equation:
7 x + 11 y = 500
where x is the amount of the 7 ounce weights while y is the amount of 11 ounce weights.
We know that x and y should be whole numbers therefore this is solved through trial and error.
By trial and error I got:
x = 7 and y = 41
So that;
7 * 7 + 11 * 41 = 500
49 + 451 = 500
500 = 500
Hence they can use 41 11-ounce weights and 7 7-ounce weights to test
a rectangular room is 1.5 times as long as it is wide, and its perimeter is 27 meters. find the dimension of the room.
This is a popular type of problem that appeared in mathematics textbooks in the 1970s and 1980s. can you find the answer? the sum of the digits of a two-digit number is 6. if the digits are reversed, the difference between the new number and the original number is 18. find the original number.
The position of a particle is given by the function s = f(t) = 2t 3 − 9t 2 + 12t. find the total distance traveled during the time period between t = 0 and t = 3
A length a ribbon is 3 1/2 yard how many pieces at 1 5/9
The grade point average in an econometrics examination was normally distributed with a mean of 75. in a sample of 10 percent of students it was found that the grade point average was greater than 80. can you tell what the standard deviation of the grade point average was?
Find the middle term .. (2p - ½q )^10
22 POINTS GIVIN!! Sam wants to write an equation to represent a proportional relationship with a constant of proportionality of 6. He writes the equation y = 6 + x. Is he correct. If not, what is the correct equation? Explain your answer. Consider the graph of the equation in your response. pls answer asap im being timed
Answer:
No, Sam is not correct. The graph of a proportional relationship has the form y = kx, where k is the constant of proportionality. Sam added the constant of proportionality instead of using it as the coefficient of x. The correct equation is y = 6x. Sam’s graph would be a straight line, but it would not pass through the origin.
Step-by-step explanation:
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An equation is formed when two equal expressions. Sam's equation y=6+x is incorrect, and the correct equation is y=6x.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
In a proportional relationship, the value of the constant of proportionality is always equal to the ratio of the x and y for a directly proportional relationship and is equal to the product of x and y for an inversely proportional relationship.
Since am wants to write an equation to represent a proportional relationship with a constant of proportionality of 6. Therefore, the equation can be written as,
y = 6x
Hence, Sam's equation y=6+x is incorrect, and the correct equation is y=6x.
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what is the value of 81,963