Answer:
Hello guys
Step-by-step explanation:
Hope it's helped you
The area of a square field is 1936 meter square. Calculate it's perimeter
Please answer my question guys
With full steps chapter- squares and square roots
Please answer
Answer:
Area = 1936
Side = root 1936
Side = 44
Perimeter = 4 × side
Perimeter = 4 × 44 = 176 m
A. When José is done, they always fill the gas tank.
B. When Liam is done, they always fill the gas tank.
C. When they're done, José always fills the gas tank.
D. When he's done, he always fills the gas tank.
Answer:
C. When they're done, José always fills the gas tank.
The operation * is defined over the set r of real number by x * y =2xy + 3x-6y find 9*11
The answer to 9*11 using the * operation defined over the set of real numbers is 159.
To find 9*11, we simply need to substitute 9 for x and 11 for y in the given definition of the * operation:
9 * 11 = 2(9)(11) + 3(9) - 6(11)
Simplifying this expression, we get:
9 * 11 = 198 + 27 - 66
9 * 11 = 159
Therefore, the answer to 9*11 using the * operation defined over the set of real numbers is 159.
In general, the * operation takes two real numbers, multiplies them together by 2, adds 3 times the first number, and subtracts 6 times the second number. The result is also a real number. This type of operation is known as a binary operation because it combines two elements of the set (in this case, real numbers) to produce another element of the same set.
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monica wants to cut a cake into identical pieces. if the cake has rectangular form and 21 inches by 35 inches, what is the least number of square pieces he can cut without wasting a cake?
The least number of square pieces that Monica can cut from a rectangular cake without wasting any cake is 15 pieces, each 7 inches on a side.
Monica wants to cut a cake into identical square pieces without wasting any cake. To find the least number of square pieces that can be cut from a rectangular cake, we need to find the greatest common divisor (GCD) of the lengths of the sides.
In this case, the GCD of 21 and 35 is 7. This means that we can cut the cake into 7-inch square pieces, and there will be no waste. The number of pieces can be found by dividing each side of the rectangular cake by the side length of the square pieces.
For the 21-inch side, the number of pieces is
21 / 7 = 3
For the 35-inch side, the number of pieces is
35 / 7 = 5
Therefore, the total number of pieces that can be cut from the rectangular cake is
3 * 5 = 15.
In conclusion, the least number of square pieces that Monica can cut from a rectangular cake without wasting any cake is 15 pieces, each 7 inches on a side.
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use your knowledge of angle relationships solve for x in the diagram below Justify Your solution by naming the geometric relationship
Answer:
x = 5°
Step-by-step explanation:
5x + 21° + 20x + 34° = 180°
25x + 55° = 180°
25x = 180° - 55°
25x = 125°
x = 125°/25
x = 5°
Hope you got it dear !!!!
Geometric relationship is supplementary angles. Supplementary angles sum up to 180 degrees.
The value of x is 5.
Using the geometric relationship between two angles in the image given, we can create an equation that will enable us solve to determine the value of x in the figure given.Thus:
\(5x + 21^{\circ}\) and \(20x + 34^{\circ}\) are angles on a straight line.The geometric relationship between them is:\((5x + 21) + (20x + 34) = 180^{\circ}\) (angles on a straight line are supplementary)
Solve for x\(5x + 21 + 20x + 34 = 180\)
Add like terms\(25x +55 = 180\)
Subtract 55 from each side\(25x = 180 - 55\\\\25x = 125\)
Divide both sides by 25\(x = 5\)
Therefore the geometric relationship between the angles is that they are supplementary. They equal 180 degrees.The value of x is 5Learn more here:
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Which expression is not equivalent to -3x + 24? Select all that apply.
A. -3(x - 8)
B. -(3x + 24)
C. 3/2(-2x + 16)
D. -1/3( 9x + 8)
E. 6(-1/2x - 4)
F. 8(-3/8x + 3)
Answer:
B, D, and E
Step-by-step explanation:
You'll have to distribute each and put them into a full equation again.
A. -3x + 24
B. -3x - 24
C. -3x + 24
D. -3x - 8/3
E. -3x - 24
F. -3x + 24
I bolded the ones that did not equal -3x + 24
so your answer is B, D, and E
number 10 and number 11 please!.
What is A and what is B
A basketball is thrown in the air. Part way up, the potential energy is 100 J, and its kinetic energy is 25 J. What is the total mechanical energy of the basketball?
Answer:
125
Step-by-step explanation:
mechanical energy is equal to the sum of kinetic and potential energy
100+25=125
What is the slope of the line that contains the points (-1, 2) and (3, 3)?
If there are two angles that are complementary to each other and one of the angles is 48 degrees, what is the other angle?
Answer:
42 degrees
Step-by-step explanation:
Please let me know if you want me to add an explanation as to why this is the answer. I can definitely do that, I just don’t want to waste my time in case you don’t want me to :)
What is 49n^3--25m^3 in factorization
The factorised expression is 7²n³ - 5²m³.
We are given a mathematical expression. It is an algebraic expression. The expression consists of two terms. It is a binomial expression. The expression uses two variables. We need to factorise the expression. Let the expression be represented by the variable "E". The expression is given below.
E = 49n³ - 25m³
We will use the properties of the exponents. The expression can be modified as given below.
E = 7²n³ - 5²m³
We see that both terms have nothing in common. The expression cannot be factorised using any identity. Thus, the expression cannot be factorised any further.
Hence, the factorised expression is 7²n³ - 5²m³.
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Which residual plot shows that the line of best fit is a good model?
A residual plot that shows clear patterns or trends in the residuals suggests that the line of best fit is not a good model.
Here are some characteristics of a residual plot that suggest that the line of best fit is a poor model,
The residuals show a clear pattern or trend, such as a curve or a U-shape.
The residuals are not evenly distributed above and below zero.
There are one or more outliers or extreme values that stand out from the rest of the data.
The variability of the residuals changes across the range of the predictor variable.
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2-simplifica
1)x²-5x-16
x+2=
2)6an²-3b²n²
b4-4ab²+4a²=
3)4x²-4xy+y²
5y-10x
4)n+1-n³-n²
n³-n-2n²+2=
5)17x³y4z6
34x7y8z10=
6)12a²b³
60a³b5x6=
1. x² - 5x - 16 can be written as (x - 8)(x + 2).
2. 6an² - 3b²n² = n²(6a - 3b²).
3. This expression represents a perfect square trinomial, which can be factored as (2x - y)².
4. Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).
5. 17x³y⁴z⁶ = (x²y²z³)².
6. 12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.
Let's simplify the given expressions:
Simplifying x² - 5x - 16:
To factorize this quadratic expression, we look for two numbers whose product is equal to -16 and whose sum is equal to -5. The numbers are -8 and 2.
Therefore, x² - 5x - 16 can be written as (x - 8)(x + 2).
Simplifying 6an² - 3b²n²:
To simplify this expression, we can factor out the common term n² from both terms:
6an² - 3b²n² = n²(6a - 3b²).
Simplifying 4x² - 4xy + y²:
This expression represents a perfect square trinomial, which can be factored as (2x - y)².
Simplifying n + 1 - n³ - n²:
Rearranging the terms, we have -n³ - n² + n + 1.
Combining like terms, we get -n³ - n² + n + 1 = -(n³ + n² - n - 1).
Simplifying 17x³y⁴z⁶:
To simplify this expression, we can divide each exponent by 2 to simplify it as much as possible:
17x³y⁴z⁶ = (x²y²z³)².
Simplifying 12a²b³:
To simplify this expression, we can multiply the exponents of a and b with the given expression:
12a²b³ = (2a)(6b³) = 12a6b³ = 12a⁷b³x⁶.
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Can someone help me me I think I'm bad at this honestly..
Answer:
J
A=7.07cm^2
Step-by-step explanation:
A= (pi)(r^2)
diameter=3
radius= 1/2 of the diameter = 1.5
pi = approximately 3.14
A= (3.14) (1.5)^2
A= 7.065 ----> rounds to 7.07
Find the value of the variable. If your answer is not an integer, leave it in simplest radical form.
92√
9 square root of 2
93√
9 square root of 3
93√2
the fraction with numerator 9 square root of 3 and denominator 2
92√2
A sample of radium-226 has a mass of 100 mg. Find a formula for the mass of the sample that remains after t years. (b) Find the mass after 500 years correct to the nearest milligram. (c) When will the mass be reduced to 30 mg?
a) formula for the mass of the sample that remains after t years is k = -ln(1/2) / 1600
b) the mass after 500 years is \(100 * e^{(-(-ln(1/2) / 1600) * 500)\)
c) t = ln(30/100) / k will the mass be reduced to 30 mg.
What is sample?
In statistics, a sample refers to a subset of individuals, items, or elements selected from a larger population. It is a representative subset of the population that is used to gather information and draw inferences about the entire population.
a) The decay of radium-226 follows an exponential decay model, where the mass remaining after a certain time is given by the formula:
\(m(t) = m(0) * e^{(-kt)\)
where:
m(t) is the mass remaining after time t
m(0) is the initial mass
k is the decay constant
To find the decay constant, we can use the half-life of radium-226, which is approximately 1600 years. The half-life is the time it takes for half of the initial mass to decay.
Using the half-life formula:
\((1/2) = e^{(-k * 1600)\)
Taking the natural logarithm (ln) of both sides:
ln(1/2) = -k * 1600
Solving for k:
k = -ln(1/2) / 1600
Now, we can substitute the value of k into the formula to find the mass remaining after a given time.
b) After 500 years:
\(m(500) = 100 * e^{(-k * 500)\)
Substituting the value of k:
\(m(500) = 100 * e^{(-(-ln(1/2) / 1600) * 500)\)
Calculating the approximate value of m(500) to the nearest milligram will require a calculator or software. Let's denote the result as m_500.
c) To find when the mass is reduced to 30 mg, we can set up the equation:
\(30 = 100 * e^{(-k * t)\)
Solving for t:
\(e^{(-k * t)} = 30 / 100\\\\-e^{(-k * t)} = -ln(30/100)\)
k * t = ln(30/100)
t = ln(30/100) / k
Substituting the value of k and calculating the approximate value of t will give us the time it takes to reach a mass of 30 mg.
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Please someone help me with this!
The sum of two numbers and their difference is 30.
In a cookie recipe I need 2 cups of flour for every 3/4 cup of sugar. How much flower do I need for 1 cup of sugar (unit rate)
Answer:2 2/3
Step-by-step explanation:
PLEASE EXPLAIN TOO SO I CAN SOLVE OTHER SIMILAR ONES.
What is the measure of angle x? Explain how you know.
Answer: x = 30' , y = 45'
hope this helps
Step-by-step explanation:
U is 90' it's a right triangle
well simple VRT you already know 2 angles which is 60' and 90'
R = 60'
V = 90'
T = x
you know that a triangle = 180'
so you do
180 - 60 - 90 = x
30 = x
if you want to do y
then you already know that U is 90' on both sides.
since you also know S,
S = 45'
U = 90'
V = y
180 - 90 - 45 = y
45 = y
Kevin rode his bike 8/10 of a mile on Sunday and 3/4 of a mile on Monday, what distance in miles
did he ride his bike?
Answer:
1.55
Explanation:
8/10=.8
3/4=.75
Add those two sums together, and you get 1.55
Answer:
\(1 \frac{11}{20} \: miles\)
Step-by-step explanation:
\( \frac{8}{10} + \frac{3}{4} \\ \frac{16}{20} + \frac{15}{20} \\ \frac{31}{20} = 1 \frac{11}{20} \)
The cross section of a parabolic sound reflector at the Olympics has a diameter of 20 inches and is 25 inches deep. Write an equation that represents the cross section of the reflector with its vertex at ( ) 0, 0 and its focus to the left of the vertex.
Answer: 69
Step-by-step explanation: Sorry I do not know the answer because I am not smart. I just need the points so I can answer more questions. Have a great day though and I wish you luck with your question:)
What is the vertex of the parabola?
Answer:
The maximum or minimum point on the graph of the quadratic function
Step-by-step explanation:
^^^ refer to the photo
Hello,
Answer: 2.5 (rad)
\(L=\theta*R\ \\\\\Longrightarrow\ \theta=\dfrac{L}{R} =\dfrac{30}{12} =2.5 (rad)\\\)
Suppose you computed the profit per surgery for each of 300 patients who underwent hip replacement surgery at your hospital. Profit per surgery is approximately normally distributed and the mean and standard error of profit per surgery in this sample are $175 and $51, respectively. Recall that the 95th percentile of the standard normal distribution is 1.65 and the 97.5th percentile of the standard normal distribution is 1.96. The lower bound of the 95% confidence interval of profit per surgery is (in dollars) (Truncate to whole dollars.) Save & Continue
The lower bound of the 95% confidence interval for profit per surgery is $75.04.
To calculate the lower bound of the 95% confidence interval for profit per surgery, we need to use the formula:
Lower bound = mean - (z * standard error)
where mean is the sample mean, z is the z-score corresponding to the desired level of confidence, and standard error is the standard error of the sample.
In this case, the sample mean is $175 and the standard error is $51. We want to calculate the lower bound at a 95% confidence level, so the z-score corresponding to a 95% confidence level is 1.96.
Plugging in the values into the formula, we have:
Lower bound = $175 - (1.96 * $51)
Calculating the expression:
Lower bound = $175 - $99.96
Lower bound = $75.04
Therefore, the lower bound of the 95% confidence interval for profit per surgery is $75.04.
The lower bound represents the lower limit within which we can be 95% confident that the true population mean lies based on the given sample.
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50 Pts!! Brainliest!! Answer ASAP, pls. Thx.
Answer:
Choice A
Step-by-step explanation:
First, let's simplify the equation. We get \(\frac{3^{-3}m^{6} n^{-3}}{6mn^{-2} }\) . Then, we can simplify. We now have \(\frac{3^{-3}m^{5} }{6n}\) . To get rid of the negative exponent, we multiply the top and bottom by 3^3 to get \(\frac{m^{2} }{6nx3^{3} }\). Note that the x in the denominator stands for multiplication. 3^3 = 27, so we have \(\frac{m^{5} }{6n(27)} = \frac{m^{5} }{162n}\)
Answer:
m^5/ 162 n
Step-by-step explanation:
( 3 m^-2 n) ^-3 / (6mn^-2)
We know a^ -b = 1/ a^b
1 / ( 3 m^-2 n) ^3 *(6mn^-2)
Distribute the power of 3
1 / ( 3^3 m^ -2 ^ 3 n^3) * ( 6m n^-2)
We know a^ b^ c = a^ ( b*c)
1 / ( 27 m^( -2 * 3) n^3) * ( 6m n^-2)
1 / ( 27 m^( -6) n^3) * ( 6m n^-2)
We know a^b * a^c = a^ ( b+c)
1 / ( 27*6 m^( -6+1) n^(3-2))
1/ (162 m^ -5 n^1)
We know a^ -b = 1/ a^b
m^5/ 162 n
Suppose that some consumer's preference, using a Cobb-Douglas utility function U, where U: U(b, c) =b ^50 c^50 . Assuming that the consumer is able to buy $84 on two goods, b and c, where P b =6, and Pc = 7 1. Find the most - preferred, affordable bundle 2. Define the income expansion point 2. Consumer preferences are characterized axiomatically. These axioms of consumer choice give formal mathematical expression to fundamental aspects of consumer behavior and attitudes towards the objects of choice. Explain the axioms of consumer choice and present them in terms of binary relations.
The most-preferred, affordable bundle can be found by maximizing the utility function subject to the budget constraint.
How can we find the most-preferred, affordable bundle?To find the most-preferred, affordable bundle, we need to maximize the utility function U(b, c) = b^50 * c^50 subject to the budget constraint. The budget constraint can be expressed as P_b * b + P_c * c = I, where P_b and P_c are the prices of goods b and c respectively, and I is the consumer's income.
In this case, P_b = 6, P_c = 7, and the consumer's income is $84. We can substitute these values into the budget constraint and rearrange it to solve for one variable in terms of the other. For example, we can solve for b in terms of c or vice versa.
Once we have the relationship between b and c, we can substitute it into the utility function and maximize it to find the combination of b and c that gives the highest utility. This will give us the most-preferred bundle that is affordable.
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Question 2(Multiple Choice Worth 4 points)
(01.04 LC)
Given the linear functions f(x) = x -2 and g(x)=-3x + 4, determine (f- g)(x).
(f-g)(x) = -3x - 8
(f-g)(x)=-3x²-8
(f-g)(x) = -3x² + 10x - 8
(f-g)(x) = -3x² - 2x - 8
The expression for the difference of two linear functions is (f - g)(x) = 4x - 6.
What is linear function?A linear function is a type of function in mathematics that has the form f(x) = mx + b, where x is the independent variable, f(x) is the dependent variable, m is the slope of the line, and b is the y-intercept.
According to given information:To find the expression for the difference of two linear functions, f(x) and g(x), denoted by (f - g)(x).
The expression for (f - g)(x) can be found by subtracting g(x) from f(x):
(f - g)(x) = f(x) - g(x)
Substituting the given functions f(x) = x - 2 and g(x) = -3x + 4, we get:
(f - g)(x) = f(x) - g(x)
= (x - 2) - (-3x + 4) [Substitute the given values of f(x) and g(x)]
= x - 2 + 3x - 4 [Distribute the negative sign in front of (-3x + 4)]
= 4x - 6 [Combine like terms]
Therefore, (f - g)(x) = 4x - 6.
Option D (-3x² - 2x - 8) is incorrect as it involves squaring a linear expression, which would result in a quadratic expression. Option A (which has no operation between 3 and 22) is not a valid expression. Option B (-3x - 8) and C (3x3x22 or 198) do not take into account the fact that each sundae can be made using one of 3 syrups and one of 3 candy toppings.
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In circle B with m ABC = 68 and AB = 13 units, find the length of arc AC. Round to the nearest hundredth. C B
Explanation
the length of an arc is given by:
\(\begin{gathered} \\ \text{Arc}_{length}=2\pi\text{ r(}\frac{\Theta}{360}) \end{gathered}\)where r is the radius and theta is the angle
then
Step 1
Let
radius=13
angle=68
replace
\(\begin{gathered} \text{Arc}_{length}=2\pi\text{ r(}\frac{\Theta}{360}) \\ \text{Arc}_{length}=2\pi\text{ }*13\cdot\text{(}\frac{68}{360}) \\ \text{Arc}_{length}=15.428 \\ \text{rounded} \\ \text{Arc}_{length}=15.43\text{ units} \end{gathered}\)I hope this helps you
suppose that the student scores on a test follow a bell-shaped distribution with mean 50 and standard deviation 10. using the empirical rule, what percent of students scored scored above 60?
Approximately 99.7% falls within three standard deviations.
The standard deviation is a statistic that expresses how much variance or dispersion there is in a group of numbers. While a high standard deviation suggests that the values are dispersed throughout a wider range, a low standard deviation suggests that the values tend to be close to the established mean.
The empirical rule states that for a normal distribution, approximately 68% of the data falls within one standard deviation of the mean, approximately 95% falls within two standard deviations, and approximately 99.7% falls within three standard deviations.
Since the mean score is 50 and the standard deviation is 10, this means that approximately 68% of the students scored between 40 and 60, approximately 95% scored between 30 and 70, and approximately 99.7% scored between 20 and 80. Therefore, approximately 32% of students scored above 60.
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