Shelby has ten $5 bills and thirteen $10 bills.
How much money does Shelby have in all
What is 1-1/4 divided by 2/5 as fraction answer. Thanks
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.
Millie has a box of 100 cubes she also has a bag of 70 cubes how many trains of 10 cubes can she make
what is (16/7) (4/9) (7/16) (9/4) (4/7) in simplest form?
Determine if the given x value is a zero of f(x)=x^4+3x^3-6x^2+3; x=-2
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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I don’t get it
Pls help me
I need you to walk me through how you got the answer to 298÷4
What is approximation of pi
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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Express the greatest common divisor as a linear combination of these integers
Using a table show an estimate of the solution of the equation 6n+3=2
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.
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:
Write an equation (a) in slope-intercept form and (b) in standard form for the line passing through (1,7) and perpendicular to 3x+7y=1
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.
what is the value of 81,963
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 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
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 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
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 length a ribbon is 3 1/2 yard how many pieces at 1 5/9
Using disk washers, find the volume of the solid obtained by rotating the region bounded by the curves y=sec(x), y=1, x=−1, and x=1 about the x-axis.
We are finding the volume of a solid obtained by rotating a region bounded by specific curves about the x-axis. This involves the method of disk washers and the calculation of an integral. However, the calculation is impossible with this exact set of curves due to the undefined values at x = π/2 and x = -π/2.
Explanation:To answer your question, let's first understand what is happening. We are taking the region between the curves y=sec(x), y=1, x=-1, and x=1 and rotating it about the x-axis. This creates a type of solid shape called a solid of revolution. We can find the volume of such a shape using the method of cylindrical shells or disk washers.
The volume V of the solid obtained by rotating about the x-axis the region confined by the given curves is given by the formula:
V = ∫ (from a to b) π [R(x)² - r(x)²] dx
where R(x) is the distance from the x-axis to the outer curve (y=sec(x)), and r(x) is the distance from the x-axis to the inner curve (y=1).
However, calculating the integral ∫ (from -1 to 1) π [sec(x)² - 1] dx directly can be difficult because the function sec(x) is undefined at x = π/2 and x = -π/2.
A typical way around such difficulties is to use a suitable trigonometric substitution, but in this case, the function sec(x) is periodic with a period of 2π, so we can't avoid these points, both of which lie in the interval from -1 to 1. Hence, it is impossible to find the volume of the solid as stated by rotating about the x-axis the region between the curves y = sec(x), y = 1, x = -1, and x = 1.
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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
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.
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.
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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