Answer:
Step-by-step explanation:
First thing to know that moon's gravity is just one-sixth of the earth's. So meaning 1/6 × 300 lbs earlthling = 50 lbs.
Find the midpoint of segment LK with endpoints L(-2, 4) and K(5,3).
will a numbers prime factorization always be the smae, regardless of which factor pair you start with? Explain.
What is the quotient of (2x4 – 3x3 – 3x2 7x – 3) ÷ (x2 – 2x 1)?
The quotient of (2x4 – 3x3 – 3x2 7x – 3) ÷ (x2 – 2x 1) is 2x² + x – 3.
What is Quotient ?A quotient is a quantity produced by the division of two numbers.
The quotient is most frequently encountered as two numbers, or two variables, divided by a horizontal line. The words "dividend" and "divisor" refer to each individual part, while the word "quotient" refers to the whole.
For example when 8 is divided by 2, the result obtained is 3. Thus, the quotient is 4.
To determine the quotient when (2x4 – 3x3 – 3x2 + 7x - 3) is divided by (x2 - 2x + 1), we'll apply the long division method as shown below:
2x² + x – 3
x² - 2x + 1|2x⁴ – 3x² – 3x² + 7x - 3
–(2x⁴ – 2x³ + 2x²)
x³ – 5x² + 7x – 3
–(x³ – 2x² + x)
–3x² + 6x – 3
–(3x² + 6x – 3)
0
Thus, the quotient is 2x² + x – 3.
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Using the textbook example of 420 school districts and the regression of test scores on the student teacher ratio, you find that the standard error on the slope coefficient is 0.51 when using the heteroskedasticity-robust formula, while it is 0.48 when employing the homoskedasticity-only formula. When calculating the t-statistic, the recommended procedure is to:
The recommended procedure when calculating the t-statistic is to use the heteroskedasticity-robust formula due to the presence of heteroskedasticity in the data.
When analyzing regression models, it is essential to consider the assumption of homoskedasticity, which assumes that the error term (residuals) has a constant variance across all levels of the independent variables.
However, in some cases, this assumption may be violated, leading to heteroskedasticity, where the variability of the error term differs across the range of the independent variables.
In the given example, the standard error of the slope coefficient is different when using the heteroskedasticity-robust formula (0.51) compared to the homoskedasticity-only formula (0.48). This suggests the presence of heteroskedasticity in the data, as the robust standard error accounts for the unequal variance of the residuals.
To calculate the t-statistic, which measures the significance of the estimated slope coefficient, it is recommended to use the heteroskedasticity-robust standard error. This accounts for the potential bias and incorrect inference that may arise from ignoring heteroskedasticity.
By dividing the estimated slope coefficient by the heteroskedasticity-robust standard error, the t-statistic can be calculated. This t-statistic is then compared to the critical values from the t-distribution to assess the statistical significance of the slope coefficient.
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which of the following quadratic will have a maximum value at x=3
(A) y=x^2-6x+19
(B) y=-4x^2+24x-21
(C) y=-2x^2+20x-49
(D) y=2x^2-3x+7
The x = 3 the quadratic equation D) y = 2x² -3x +7 will have maximum value.
The maximum and minimum values of a function:
The maximum and minimum values are the highest and lowest values that a function can reach over a particular domain.
For example, in a quadratic function, the maximum or minimum value is the highest or lowest point on the graph, respectively.
If a function has a maximum value, it means that the function reaches its highest point at a certain value of x.
On the other hand, if a function has a minimum value, it means that the function reaches its lowest point at a certain value of x.
Here we have
(A) y = x²-6x +19
At x = 3
y = (3)² - 6(3) + 19
= 9 - 18 + 19 = 10
(B) y = -4x²+24x -21
At x = 3
y = -4 (3)² + 24(3) - 21
= - 4(9) + 72 - 21
= 15
(C) y= -2x² +20x -49
At x = 3
y = - 2 (3)² + 20(3) - 49
= - 18 + 60 - 49
= - 7
(D) y = 2x² -3x +7
At x = 3
y = 2(3)³ - 3(3) + 7
= 18 - 9 + 7
= 16
Therefore,
The x = 3 the quadratic equation D) y = 2x² -3x +7 will have maximum value.
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Find the perimeter of a triangle with Side A = 2 cm, Side B = 3 cm, and Side C = 5 cm.
Answer:
gusto Kita Alam muba
Step-by-step explanation:
gusto Kita ok lang ba I don't know what is the answer
I'm so confused
At the beginning of the school year, the number of students in the band was the same as the number of students in the choir. Throughout the school year, the number of students in the band decreased by 8, and the number of students in the choir decreased by 4. At the end of the school year, the number of students in the choir was 25% more than the number of students in the band. How many students were in the band at the beginning of the school year?
At the beginning of the school year, _________ students were in the band
Answer: 16............................
Answer:
16
Step-by-step explanation:
4=25%
Find the slope of the line through the pair of points. D(3, 5), J(8, 7)
20 POINTS
Answer:
2/5
Step-by-step explanation:
slope= y2-y1 / x2-x1
in this case:
y2=7 y1=5 x2= 8 x1=3
plug that into the formula above to get the answer
slope= 2/5 or 0.4
What are the 4 tests for similar triangles?
The 4 tests for similar triangles are:-
AAA: Three pairs of equal angles.
SSS: Three pairs of sides in the same ratio.
SAS: Two pairs of sides in the same ratio and an equal included angle.
ASA: Two angles and the side included between the angles of one triangle are equal
What is AAA,SAS,ASA,SSS?
According to the SSS rule, two triangles are said to be congruent if all three sides of one triangle are equal to the corresponding three sides of the second triangle.
According to the SAS rule, two triangles are said to be congruent if any two sides and any angle between the sides of one triangle are equal to the corresponding two sides and angle between the sides of the second triangle.
According to the ASA rule, two triangles are said to be congruent if any two angles and the side included between the angles of one triangle are equal to the corresponding two angles and side included between the angles of the second triangle.
According to the AAA rule, "if in two triangles, corresponding angles are equal, then their corresponding sides are in the same ratio (or proportion), and hence the two triangles are identical."
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For fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error ___________- as the margin of error increases.
For fixed population standard deviation and level of significance, the minimum sample size needed to guarantee a given margin of error decreases as the margin of error increases.
The square root of the variance for the given set of numbers is what the standard deviation examines. It is employed to compute a confidence interval for making judgments (such as accepting or rejecting a hypothesis).
Here, the population standard deviation, and level of significance are the same.
As the margin of error increased.
So, with the increase in the value of the margin of error, there will surely decrease in the value of the sample size
\($$\begin{aligned}&\mathrm{MOE}_\gamma=z_\gamma \times \sqrt{\frac{\sigma^2}{n}}\\&\begin{aligned}\mathrm{MOE} & =\text { margin of error } \\\gamma & =\text { confidence level } \\z_\gamma & =\text { quantile } \\\sigma & =\text { standard deviation } \\n & =\text { sample size }\end{aligned}\end{aligned}$$\)
As the margin of error is in the denominator position in the sample size formula
Hence with an increase in the margin of error sample size decreases.
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Part 1 out of 3
Write an exponential decay function to model the amount of a 125-mg dose of a certain antibiotic that
decreases in your bloodstream at a rate of 12% per hour.
y=
Check
Next
Answer:
125 * (0.88)^t where t is the time in hours.
Explanation:
The formula for exponential decay is y = a(1-r)^t, where y is the amount remaining after t time, a is the initial amount, and r is the decay rate.
In this case, the initial amount is 125 mg and the decay rate is 12% or 0.12 per hour. Since the amount of antibiotic is decreasing, we need to use (1-r) instead of (1+r) in the formula.
Substituting the given values in the formula, we get:
y = 125 * (1-0.12)^t
y = 125 * (0.88)^t
Therefore, the exponential decay function to model the amount of a 125-mg dose of a certain antibiotic that decreases in your bloodstream at a rate of 12% per hour is y = 125 * (0.88)^t.
Step-by-step explanation:
Rob has 40 coins, all dimes and quarters, worth $7.60. Write the system needed to determine the
number of dimes and quarters.
WILL GIVE BRAINLIEST
Answer:d + q = 40 -----> d = 40 - q
10d + 25q = 760
Substitute!
10(40 - q) + 25q = 760
400 - 10q + 25q = 760
15q = 360
q = 24
d = 40 - 24
d = 16
Step-by-step explanation:
determine two pairs of polar coordinates for (3,-3) when
Two pairs of polar coordinates for the point (3, -3) can be determined using the formula r = √(x^2 + y^2) and θ = arctan(y/x). The pairs of polar coordinates are (3√2, -45°) and (3√2, 315°).
To find the polar coordinates, we first need to calculate the distance from the origin (r) using the formula r = √(x^2 + y^2), where x = 3 and y = -3. Plugging in the values, we get r = √(3^2 + (-3)^2) = √(9 + 9) = √18 = 3√2.
Next, we need to find the angle θ. We can use the formula θ = arctan(y/x), where y = -3 and x = 3. Plugging in the values, we get θ = arctan(-3/3) = arctan(-1) = -45° (in the fourth quadrant).
However, we can also add 360° to the angle to represent the same point in the first quadrant. So, adding 360° to -45° gives us 315°.
Therefore, the two pairs of polar coordinates for the point (3, -3) are (3√2, -45°) and (3√2, 315°).
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A variable is a quantity that can change; the word also refers to the letter or symbol that represents this quantity. In a proportional relationship, one variable is the independent variable, and one is the dependent variable. They are often called "x" and "y," but any letters can be used. The value of the dependent variable depends on the value of the independent variable. In the relationship between number of scoops of ice cream and total price, we can call number of scoops "x" and total price "y." Y is dependent because its value depends on x, the number of scoops you purchase. Ursula makes $5 for every 1 dog she walks. In the relationship between dollars earned and dogs walked, ________ is the dependent variable, which is often called ________.
Answer:
Dollars earned is the dependent variable, which is often called outcome variable (x).
Step-by-step explanation:
The value of the dependent variable depends on the value of the independent variable.
y (dollars earned) is dependent because its value depends on x, the number of dogs walked.
In the relationship between dollars earned and dogs walked, dollars earned is the dependent variable, which is often called outcome variable (x).
Answer: dollars earned, y
Step-by-step explanation:
Rex Carr owns a junk yard. Rex can use one of two methods to destroy cars. 1. Use a hydraulic car crusher that costs $2000 plus $10 per car. 2. Buy a "fancy" shovel that costs $100 and then paying Rex's brother, Scoop, to bury cars at a cost of $50 per car. a) Write down the total cost functions associated with the two different methods for wrecking cars. b) What is the average cost of each method? c) What is the marginal cost of each method? d) Which method minimizes the cost of wrecking k cars per year? (Express your answers as "if k is less than ..." and "if k is greater or equal to ...") e) If the price for wrecking cars is $100 per car, what is y
∗
such that p>ATC for Rex and for Scoop?
The total cost functions associated with the two different methods for wrecking cars are as follows: 1. Method 1 (Hydraulic Car Crusher):
Total Cost = $2000 + $10 * Number of Cars
2. Method 2 (Fancy Shovel and Scoop):
Total Cost = $100 + $50 * Number of Cars
The average cost of each method can be calculated by dividing the total cost by the number of cars. For Method 1, the average cost is $10 per car ($2000 divided by the number of cars). For Method 2, the average cost is $50 per car ($100 + $50 per car).
The marginal cost represents the additional cost incurred by producing one more unit (car) using each method. In Method 1, the marginal cost is a constant $10 per car, as each additional car adds the same cost of $10. In Method 2, the marginal cost is $50 per car, as each additional car requires the payment of $50 to Rex's brother, Scoop.
To determine which method minimizes the cost of wrecking k cars per year, we need to compare the average cost for each method. If k is less than 40, Method 1 (Hydraulic Car Crusher) will have a lower average cost of $10 per car. If k is greater than or equal to 40, Method 2 (Fancy Shovel and Scoop) will have a lower average cost of $50 per car.
If the price for wrecking cars is $100 per car, the profit per car is given by the price minus the average total cost (ATC). For Rex, if p > ATC, which is $10, he will have a positive profit. Therefore, for Rex to have a positive profit, p must be greater than $10. Similarly, for Scoop, if p > ATC, which is $50, he will have a positive profit. Therefore, for Scoop to have a positive profit, p must be greater than $50.
In summary, if the number of cars wrecked per year (k) is less than 40, Rex should use Method 1 (Hydraulic Car Crusher) as it has a lower average cost. If k is greater than or equal to 40, Rex should use Method 2 (Fancy Shovel and Scoop) as it has a lower average cost. If the price for wrecking cars (p) is greater than $10, Rex will have a positive profit, and if the price is greater than $50, Scoop will have a positive profit.
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Speedometer readings for a motorcycle at 12-second intervals are given in the table.
t (s) 0 12 24 36 48 60
v (ft/s) 30 28 25 21 25 27
(a) Estimate the distance traveled by the motorcycle during this time period using the velocities at the beginning of the time intervals.
ft
(b) Give another estimate using the velocities at the end of the time periods.
ft
(c) Are your estimates in parts (a) and (b) upper and lower estimates? Explain.
O (b) is a lower estimate and (a) is an upper estimate since v is a decreasing function of t.
O (a) and (b) are neither lower nor upper estimates since v is neither an increasing nor decreasing function of t.
O (a) is a lower estimate and (b) is an upper estimate since v is an increasing function of t.
(a) The distance traveled by motorcycle is 1548 ft.
(b) The distance traveled by motorcycle is 1512 ft.
(c) (b) is a lower estimate and (a) is an upper estimate since v is a decreasing function of t.
What is velocity?
The primary indicator of an object's position and speed is its velocity. It is the distance that an object travels in one unit of time. The displacement of the item in one unit of time is the definition of velocity.
Given table is:
t (s) 0 12 24 36 48 60
v (ft/s) 30 28 25 21 25 27
The distance traveled by motorcycle during this time period using the velocities at the beginning of the time intervals is:
12(30 + 28 + 25 + 21 + 25)
=12 × 129
= 1548 ft
The distance traveled by motorcycle during this time period using the velocities at the end of the time intervals is:
12(28 + 25 + 21 + 25 + 27)
=12 × 126
= 1512 ft
The distance traveled by motorcycle at the end of the time intervals is greater than the distance traveled by motorcycle at the beginning of the time intervals.
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what is the value of t
-1 (t+8) = -7.1
t=
Answer:
t = - 0.9
Step-by-step explanation:
Given
- 1(t + 8) = - 7.1 ( divide both sides by - 1 )
t + 8 = 7.1 ( subtract 8 from both sides )
t = - 0.9
What is sextillion divided by nonmillion times 10,000 minus 200 million plus 5000.
The answer to this arithmetic expression is approximately 9.9998 x 10¹⁸
Define the term expression?A combination of numbers, variables, and operators that represents a quantity or mathematical relationship is called an expression.
First, divide sextillion (10²¹) by nonmillion (10⁶) to get 10¹⁵.
Next, multiply 10¹⁵ by 10,000 to get 10¹⁹.
Subtract 200 million (2 x 10⁸) from 10¹⁹ to get 9.9998 x 10¹⁸.
Finally, add 5,000 to get the result of approximately 9.9998 x 10¹⁸ + 5,000 = 9.9998 x 10¹⁸ + 0.0005 x 10¹⁸ = 9.9998 x 10¹⁸.
Therefore, the answer to this arithmetic expression is approximately 9.9998 x 10¹⁸
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Please answer this ill give brainliest Sam visits 3 stores to find the best deal for a pair of jeans. Old Navy offers price of S120 for 4 pairs of jeans. Two pairs of jeans sell for S100 at Marshall's. Target sells 3 pairs of jeans at S99. Which store offers the best deal? and A new born baby has 270 bones and an adult has 206 bones. Find the ratio of bones in an adult to that of a new born baby.
Answer:
Target offers the best deal for three pairs of jeans for 99 dollars
Step-by-step explanation:
Answer:
Target
Step-by-step explanation:
270:206
please help me :(
i’m stup*d
Answer:
a = 22
Step-by-step explanation:
We know that YB is the altitude. An altitude basically just means a line straight through the middle. Since we know the measurements of both sides we can solve for a. XB=BZ, so if you solve a + 7 = 2a - 15, then you get your answer.
there were 375 books sold last week at Sid's Bookstore. The table below summarizes these books by genre. This information is also presented as a circle graph.
Find the central angle measure, x° for the Self-Help slice in the circle graph. Do not round.
The central angle formed by the Self Help slice is 86.4°.
A circle is formed when you draw a point and connect it from end to end forming a complete revolution.
We have to find the central angle formed by the Self Help slice
One revolution equals 360°.
Therefore, each piece of pie for each type of book is a fraction of one revolution.
The fraction can be determined by dividing the number for a specific type of book to the total number of books.
Specifically, the fraction for the Self Help slice would be 90/375 which is equal to 0.24 or 24%.
Then, 24% of 360 is 86.4.
Therefore, the central angle formed by the Self Help slice is 86.4°.
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There are 375 books sold at Sid's Bookstore. The table below summarizes these books by genre. This info is presented in circle graph. Find the central angle measure for Self Help slice in graph. Mystery 99, romance 81, self help 90, cooking 57, biography 48.
Statistical process control is used in service industries like a blood testing lab to determine normal levels of variation. Normal levels of variation are the voice of the specification Group of answer choices True False
True. Statistical process control is commonly used in service industries, including blood testing labs, to monitor and analyze processes and determine normal levels of variation.
These normal levels of variation are often used as the basis for setting specifications and determining if a process is in control or out of control. Therefore, they can be considered the "voice of the specification" in service industries.
True. Statistical process control is used in service industries like a blood testing lab to determine normal levels of variation. Normal levels of variation are considered the voice of the specification. This helps to maintain quality and control the process.
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Question 3 of 10
A minor arc will have a measure that is
A. equal to 180°
B. less than 180°
O C. more than 180°
Select the correct answer.
ta
What is
OA. V3
O B.V3
O C.
V3
3
OD. -V3
help. i can't find the answer anywhere and i hate doing slope
Answer:
put one point at (2, -4) and the other at (0, -1)
you can find the second point using the slope -3/2
help me answer this now.
x + 2x + 6 = 27
3x + 6 = 27
x + 2 = 9
x = 9 - 2
x = 7
2 × 7 = 14
14 + 6 = 20
what is the property of: commutative, identity, or associative18+m=18, when m=0
The identity property of addition states that if we sum zero to a number, the result will be the same number.
When we have the equation
\(18+m=18\)And evaluate at m = 0, we just substitute m in the equation for our value
\(\begin{cases}18+m=18 \\ m=0\end{cases}\Rightarrow18+0=18\)And this is the definition of the identity property.
In the given figure AOB is a straight line find the value of x.
Please tell the correct answer..
Answer:
2x+5x+3x=180°
10x=180°
x=180/10
x=18° ans..
Answer:
18
Step-by-step explanation:
Sum of angles in a straight line is 180,
2x + 5x + 3x = 180
10x = 180
x = 180 / 10
x = 18
Can someone please help me with this?
4a - 5b = 7
substract 4a from both sides
4a - 5b - 4a = 7 - 4a
positive 4a with negative 4a
5b = 7 - 4a
devide both sides by 5
\( \frac{5b}{5} = \frac{7 - 4a}{5} \)
\(b = \frac{7 - 4a}{5} \)
factorise 16-(5y-2)^2
The factorized form 16 - \((5y-2)^2\) is -1(5y+2)(5y-6)
The expression is
16 - \((5y-2)^2\)
The expression is a mathematical statement that consist of different variables, numbers and the arithmetic operators
The expression is
The expression is
16 - \((5y-2)^2\)
We know the identity
\((a+b)^2= a^2+2ab+b^2\)
Apply this identity on the expression
= 16 -( \(25y^2\)- 20y + 4)
Apply the distributive property
= 16 - \(25y^2\)+ 20y - 4
Subtract the like terms
= - \(25y^2\)+ 20y + 12
Take common term outside
= -1(\(25y^2\)- 20y - 12)
Split the middle term and apply factorization
= -1 (\(25y^2\)+ 10y -30y - 12)
Take common term outside
= -1 ( 5y(5y+ 2) -6(5y +2)
Take common term outside
= -1(5y+2)(5y-6)
Hence, the factorized form 16 - \((5y-2)^2\) is -1(5y+2)(5y-6)
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